Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.

Answers

Answer 1

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

What are algebraic expressions?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average velocity

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

To solve more questions on functions, visit the link below-

brainly.com/question/17613163

#SPJ1


Related Questions

9. Triangle LMN with vertices L(-7, 4), M(-3, 0),
and N(-8, 1):
(a) Translation: (x,y) → (x + 5, y-6)
(b) Reflection: in the line y=-x
L’
М'
N'
10

Answers

The transformation of the vertices of the triangle is a. L' = (-7 + 5, 4 - 6) = (-2, -2), M' = (-3 + 5, 0 - 6) = (2, -6), N' = (-8 + 5, 1 - 6) = (-3, -5). b. L' = (-7, 4) = (-4, 7), M' = (-3, 0) = (0, 3), and N' = (-8, 1) = (-1, 8).

What are transformations?

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

The vertices of the triangle are L (-7, 4), M(-3, 0) and N(-8, 1).

a. Translation: (x,y) → (x + 5, y-6) is as follows:

L' = (-7 + 5, 4 - 6) = (-2, -2)

M' = (-3 + 5, 0 - 6) = (2, -6)

N' = (-8 + 5, 1 - 6) = (-3, -5)

b. Reflection in line y = -x is as follows:

Here, the value of y coordinate is negative x coordinate and x coordinate is negative y coordinate.

L' = (-7, 4) = (-4, 7)

M' = (-3, 0) = (0, 3)

N' = (-8, 1) = (-1, 8)

Hence, the transformation of the vertices of the triangle is a. L' = (-7 + 5, 4 - 6) = (-2, -2), M' = (-3 + 5, 0 - 6) = (2, -6), N' = (-8 + 5, 1 - 6) = (-3, -5). b. L' = (-7, 4) = (-4, 7), M' = (-3, 0) = (0, 3), and N' = (-8, 1) = (-1, 8).

Learn more about transformation here:

https://brainly.com/question/11709244

#SPJ1

chen's pedometer says he walked 5,600 meters today. how many kilometers has chen walked today?

Answers

Answer:

5.6km

Step-by-step explanation:

1km = 1000 meters

5,600 meters = 5.6km

5600 divided by 1000 = 5.6km

So, Chen walked 5.6km today.

If the volume of the cylinder is represented by 5x² +
15x + 2 and the height is 5x, which expression
represents the area of the base?

Answers

Answer:

its A. x² + 3x + 2/5x because it's the right answer

The value in the table below represents Function B, which is a linear function
Function L is represented by the equation y = 6x + 4.
Part A
Answer
X
-3
-1
1
3
By comparing Function B and Function L, which has the greater rate of chan
Show your work.
Part B
Determine which function has the greater y-intercept.
Show your work.
Answer
y
-7
-1
5
11
Part C
Explain why both of your answers above are correct.

Answers

Part A: By comparing B and L, L has greater rate of change.

Part B: By comparing B and L, B has greater y-intercept.

This can be solved using the concept of equation of function.

What is functions?

Function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). A function is described as a relationship between a group of inputs and one output each. In simple terms, a function is a connection between inputs, with each input corresponding to exactly one output. Every function has its own domain and codomain, as well as a range. f(x), where x is the input, is a common way to refer to a function.

Part B:

Let, the equation of function B is,

Y = mx+c

Where m is slope and C is intercept

At (-3,-7)

-7 = -3m+c

C = 3m-7

At (-1,-1)

-1 = -m+3m-7

-1 = 2m -7

2m = 6

m = 3

C = 3m-7

C = 3×3 - 7

C =2

So, equation of line B is

Y = mx+c

Y = 3x+2

Where intercept is 2, note y intercept can also be found by putting x = 0, slope = 3

Part A:

Rate of change is slope for B can also be found by -1-(-7)/-1-(-3)=6/2=3

For equation L.

Y=6x+4

Slope=6, intercept =4

For L: when x=0, y=4,x=1,y=10

Rate of change=slope=(10 - 4)/ (1 - 0)=6

Line            Equation              Rate of change(slope(m)      Y intercept (c)

B                    y = 3x+2                      3                                         2

L                     y = 6x- 4                     6                                         - 4

To know more about function refer to:

brainly.com/question/10439235

#SPJ1

giving 50 points and brainliest to the best correct answer. thanks.

Answers

METHOD 1
evidence of substituting into b =
correct substitution
2π (M1) period
e.g. period = 30 minutes, b = 2π A1
30
b=0.209(π ) A1 N2 15
substituting into h(t) (M1) e.g. h(0) = 1 , h(15) = 101 correct substitution A1 1=50sin(−π c)+51
METHOD 2
15 c=7.5 A1 N2
evidence of setting up a system of equations (M1)
two correct equations e.g.1=50sinb(0−c)+51,101=50sinb(15−c)+51 A1A1 attempt to solve simultaneously (M1)
e.g. evidence of combining two equations b=0.209(π ),c=7.5 A1A1 N2N2

evidence of recognizing the amplitude is the radius (M1)
e.g. amplitude is half the diameter
a=8 A1 2
a=4 AG N0
METHOD 2
evidence of recognizing the maximum height (M1) e.g. h = 6 , a sin bt + 2 = 6
correct reasoning
e.g. asinbt = 4 and sinbt has amplitude of 1 A1 a=4 AG N0

valid reasoning for their conclusion (seen anywhere) R1
e.g. h(t) < 0 so underwater; h(t) > 0 so not underwater
evidence of substituting into h (M1)
e.g. h(19.4) , 4 sin 19.4π + 2 15
correct calculation A1
e.g. h(19.4) = −1.19
correct statement A1 N0 e.g. the bucket is underwater, yes METHOD 2
valid reasoning for their conclusion (seen anywhere) R1 e.g. h(t) < 0 so underwater; h(t) > 0 so not underwater evidence of valid approach (M1)
e.g. solving h(t) = 0 , graph showing region below x-axis correct roots A1
e.g. 17.5, 27.5
correct statement A1 N0 e.g. the bucket is underwater, yes

Please hurry
Choose the best method for solving
and solve. Show your work.
y=x-7
y=x+7

Answers

The system of equations has no solution

How to determine the solution

From the question, we have the following parameters that can be used in our computation:

y = x - 7

y = x + 7

By substituting the first equation in the second equation

So, we have the following representation

x + 7 = x - 7

Evaluate the like terms

7 = -7

The above equation is false

Hence, the system has no solution

Readm ore about equations at

https://brainly.com/question/2972832

#SPJ1

How does g(x)=8x change over the interval from x=3 to x=5?

Answers

The function g(x) = 8x is increasing over the interval from x=3 to x=5.

The graph of the function g(x) = 8x is shown below.

We can observe that the graph of g(x) is a staright line passing through origin (0, 0)

This means that the function g(x) is a linear function.

For x = 3, the value of function would be,

g(3) = 8 × (3)

g(3) = 24

And for input value x = 5, the value of function would be,

g(5) = 8 × (5)

g(5) = 40

This means that the value of function g(x) increases from x = 3 to x = 5

Also, from the graph the function g(x) is increasing over the interval [3, 5]

Learn more about the function here:

https://brainly.com/question/28193994

#SPJ4

a= (6,7) and b= (1,2) if a-b =(x,y) work out values of x and y​

Answers

The values of x and y​ are x = 5 and y = 5.

How to calculate vector sums?

The subtraction of vectors a and b can be represented as the vector sum of a and the negative of b:

a - b = a + (-b)

To find the negative of b, simply multiply each component by -1:

-b = (-1) × (1, 2) = (-1, -2)

So,

a - b = a + (-b) = (6, 7) + (-1, -2) = (5, 5)

Therefore, the values of x and y are 5 and 5 respectively.

Find out more on vector sum here: https://brainly.com/question/15314185

#SPJ1

Which of these numbers is equivalent to 5.1 ÷ (–2)?



A. -25.5

B. -2.55

C. 2.55

D. 25.5

Answers

Answer:

B

Step-by-step explanation:

[tex]1. \: 5.1 \div - 2 \\ 2. \: - 2.55[/tex]

please help!! for 20 points

Answers

The solution is given below.

What is transformation?

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

the reflection is with respect to y=x line,

so, the transformation will be,

(x,y)⇒(y,x)

so, we get,

X = (-3,8 ) ⇒ X' = (8,-3)

Y(2,5)⇒Y(5,2)

Z(-4,-1)⇒Z'(-1,-4)

To learn more on transformation click:

brainly.com/question/20211457

#SPJ1

PLEASE ME WITH MY MATH THE QUESTION IS IN THE PICTURE

Answers

The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.

What are the quadratic equation's roots' sum and product?

A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.

What is the Product Rule Simplified?

According to the Product Rule, the derivative of a product of two functions is equal to the product of the first function times the second function's derivative plus the second function times the first function's derivative.

To know more about quadratic visit:-

brainly.com/question/21685473

#SPJ1

Here is a pentagon work out the value y.

Answers

Answer:

y = 125°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540°

y + 86° + 142° + 72° + 115° = 540°

y + 415° = 540° ( subtract 415° from both sides )

y = 125°

Answer:

125°

Step-by-step explanation:

First you find the value of total interior angles

Since it's a Pentagon

[tex](5- 2) \times 180[/tex]

Then you arrive at 540°

When you sum all the angles in the Pentagon together they should be equal to 540

[tex]540 = 86 + 142 + 72 + 115 + y[/tex]

[tex]540 = 415 + y[/tex]

[tex]540 - 415 = y[/tex]

[tex]y = 125[/tex]

The sum of three consecutive natural numbers is 1197, find the numbers.
The three numbers in increasing order are

Answers

Answer: 398 + 399 + 400 equals 1197 

Step-by-step explanation: The sum of three consecutive natural numbers is 1197, find the numbers X) + (X + 1) + (X + 2) = 1197 To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:X + X + 1 + X + 2 = 11973X + 3 = 11973X + 3 - 3 = 1197 - 33X = 11943X/3 = 1194/3X = 398Which means that the first number is 398, the second number is 398 + 1 and the third number is 398 + 2. Therefore, three consecutive integers that add up to 1197 are 398, 399, and 400. 

correlation is to as experimentation is to . a. single variables; multiple variables b. unobtrusiveness; correlation c. measurement of variables; manipulation of variables d. manipulation of variables; measurement of variables

Answers

Correlation is to "measurement of variables", as experimentation is to "manipulation of variables".

Correlation refers to the statistical relationship between two or more variables, where changes in one variable are related to changes in the other variable(s). It measures the strength and direction of the relationship, but it does not establish cause and effect.

Experimentation, on the other hand, involves the manipulation of variables to determine the cause-and-effect relationship between variables. The experimenter changes the independent variable and measures the effect it has on the dependent variable.

This method allows the experimenter to establish cause and effect and to control extraneous variables that might interfere with the relationship between the independent and dependent variables.

Therefore, the correct answer is D.

To know more about Correlation, here

https://brainly.com/question/12131966

#SPJ4

--The given question is incomplete; the complete question is

"Correlation is to___as experimentation is to___.

A. manipulation of variables; measurement of variables

B. unobtrusiveness: correlation

C. single variables; multiple variables

D. measurement of variables; manipulation of variables"--

2. Use the linear combination method to solve the system of equations. Explain each step of your solution.
2x – 3y = 13
3x + y = -8

Answers

To use the linear combination method to solve the system of equations:

2x – 3y = 13

3x + y = -8

We can multiply the second equation by 3 to get:

9x + 3y = -24

Now we can add this equation to the first equation to eliminate the y term:

2x – 3y + 9x + 3y = 13 - 24

Simplifying the left-hand side and the right-hand side of the equation:

11x = -11

Finally, we can solve for x:

x = -1

Substitute x = -1 in either of the original equations:

2x – 3y = 13

2(-1) - 3y = 13

-2 - 3y = 13

-3y = 15

y = -5

Therefore, the solution to the system of equations is x = -1 and y = -5.

Explanation: We used the linear combination method to eliminate one of the variables by adding the two equations together. Then, we solved for the remaining variable and substituted the value back into one of the original equations to solve for the other variable.

Fill in the answers on the right
Long's Coffee Shop sells a refill mug for $8. 95. Each refill costs $1. 50. Last month, Jalissa spent $26. 95 on a mug and refills. How many refills did she buy?
constant:
Rate:
Equation:
Solve:​

Answers

Constant: Mug price = $8.95, Refill price = $1.50, Rate: Refill rate = $1.50, Equation: 8.95 + 1.50x = 26.95, Solve: x = 15 refills​. Jalissa purchased 15 refills last month, paying $26.95 for the mug and refills combined.

To calculate the number of refills Jalissa purchased last month, we must first define the constants of the equation. The cost of the mug is $8.95 and the cost of the refill is $1.50. After establishing these constants, we can create an equation using the rate of refills ($1.50) and the total amount that Jalissa spent ($26.95). The equation is 8.95 + 1.50x = 26.95. This equation can then be solved to find the value of x, which is the number of refills Jalissa purchased. To solve the equation, subtract 8.95 from both sides to get 1.50x = 18. This equation can then be divided by 1.50 to find the value of x, which is 15. This means that Jalissa purchased 15 refills last month, paying $26.95 for the mug and refills combined.

Learn more about equation here

https://brainly.com/question/2228446

#SPJ4

what are the beat numbers

Answers

The musical frequency of notes is decreasing between beat number 6 and 7.

What is beat frequency?

Beats refer to the periodic variations in the loudness of a sound resulting from the interference between two waves of slightly different frequencies. When two waves of different frequencies overlap, they create an interference pattern that results in a waveform that varies in amplitude (loudness) over time. The resulting pattern of loud and soft sounds is known as beats.

The musical note frequency is in the given question is measured in Hz and it started decreasing from a frequency of 444 Hz to frequency of 392 Hz.

Learn more about beat frequency here: https://brainly.com/question/3086912

#SPJ1

In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 of the rest are peanut butter. what fraction of all the cookies are peanut butter?

Answers

Answer: 3/10

Step-by-step explanation: Convert given fractions into like terms. In this case 1/5 becomes 2/10 and 1/2 becomes 5/10. Add them up and you get 7/10. Subtract from the total of 10/10 and the result is 3/10. Since the final fraction can't be simplified, this is the final answer.

cuanto es 5^3 - 3 √(375 ÷ 3) + (7 + 2)^2 - 9^11 ÷ 9^9

Answers

Consecuencia de 5^3 - 3 √(375 ÷ 3) + (7 + 2)^2 - 9^11 ÷ 9^9 es 91.46.

Sobre el número exponencial

Potencias es una operación matemática para la multiplicación repetida de un número tanto como el rango. El rango de un número es un número que se escribe más pequeño y se ubica ligeramente hacia arriba. Basado en la semántica de escribir letras se llama superíndice, por ejemplo: 2², 3², 4³ y otros. En inglés, el exponencial se llama "potencia" o "exponente".

5³=125

3√(375:3) =3√125=3√5³= 3.5^3/2

(7+2) ²=9²=81

9¹¹÷9^9=9²=81

5³ - 3 √(375 ÷ 3) + (7 + 2)² - 9¹¹ ÷ 9^9= 5³-3.5^3/2+81-81 =125-3√125=125-(3(11.18) = 125- 33.54=91.46

Learn more about exponential number at

https://brainly.com/question/29197125

#SPJ1

Help me urgentt 16 pointsssss

Answers

Answer:

Step-by-step explanation:

Sorry did you already finish?

1. B. 2/3 = 8/12 b/c 2x4 = 8 and 3x4 = 12

2. D. 5/6 = 10/12 b/c 5x2 = 10 and 6x2 = 12

3. 2

4. A. simplified is 2/3 C. self-explanatory D. simplified is 3/4

The show johnny want to binge is 61 episodes long, it takes him 5 hours to complete 12 episodes, and 10 hours to complete 24 episodes. If johnny were to watch 12 episodes a day, how many days would it take johnny to finish the show?

Answers

Answer:

6 days

Step-by-step explanation:

This is an easy problem if you think about it. Let’s start by identifying unnecessary information. I’ll go ahead and point this out: we don’t need to know how long it takes Johnny to watch the episodes. The question already says he’s only watching 12 episodes per day, so the time information is useless. If you rewrite the problem with only message information, you get something like this:

“The show Johnny wants to binge watch is 61 episodes long. If Johnny were to watch 12 episodes a day, how many days would it take him to finish the show?”

That makes it seem so much easier! Let’s start by dividing the show into sets of 12 episodes. 61 divided by 12 is 5 R1. Since he needs another day to finish the show, even if he only watches one episode, the answer is 6 days.


1. What number am I?
I have four digits.
My tens and tenths are the same value.
My hundredths is the difference of 5 and 1.
My tens is double my hundredths.
My ones is the other factor of 4 besides 1 and itself.

Answers

The tens and tenths are the same, so they must be 2, since 2 * 2 = 4.
The hundredths is the difference of 5 and 1, so it must be 4.
The tens is double the hundredths, so it must be 2 * 4 = 8.
The only other factor of 4 besides 1 and itself is 2, so the ones place must be 2.

Putting it all together, the number is 2824.

D(-5, -6), E(5,2), F(4, -4), G(-6, -12) (Distance & Slope Formulas)

Answers

The distance between D(-5, -6) and E(5,2) is 12.8, and the slope is 0.8. The distance between E(5,2) and F(4, -4) is 6.08, and the slope is 6. The distance between F(4, -4) and G(-6, -12) is 12.8, and the slope is 0.8.

Distance Formula:

The distance between two points A(x1, y1) and B(x2, y2) is calculated using the following formula:

d = √((x2-x1)² + (y2-y1)²)

Slope Formula:

The slope of the line between two points A(x1, y1) and B(x2, y2) is calculated using the following formula:

m = (y2-y1)/(x2-x1)

Distance between D(-5, -6) and E(5,2):

d = √((5-(-5))² + (2-(-6))²)

d = √((10)² + (8)²)

d = √(100 + 64)

d = √164

d = 12.8

Slope between D(-5, -6) and E(5,2):

m = (2-(-6))/(5-(-5))

m = (8)/(10)

m = 0.8

Distance between E(5,2) and F(4, -4):

d = √((4-5)² + (-4-2)²)

d = √((-1)² + (-6)²)

d = √(1 + 36)

d = √37

d = 6.08

Slope between E(5,2) and F(4, -4):

m = (-4-2)/(4-5)

m = (-6)/(-1)

m = 6

Distance between F(4, -4) and G(-6, -12):

d = √((-6-4)² + (-12-(-4))²)

d = √((-10)² + (-8)²)

d = √(100 + 64) …

d = √164

d = 12.8

Slope between F(4, -4) and G(-6, -12):

m = (-12-(-4))/(-6-4)

m = (-8)/(-10)

m = 0.8

To learn more about Slope visit:

https://brainly.com/question/3493733

#SPJ4

The slope is 0.8 and the distance between D(-5, -6) and E(5,2) is 12.8.

The slope is 6 and the distance between E(5,2) and F(4, -4) is 6.08.

The slope is 0.8 and the distance between F(4, -4) and G(6, -12) is 12.8.

The formula for Distance:

The following formula is used to determine the distance that separates points A (x1, y1) and B (x2, y2) from one another:

d = √((x2-x1)² + (y2-y1)²)

Slope Method:

The following formula can be used to determine the slope of the line that connects the two points A (x1, y1) and B (x2, y2):

m = (y2-y1)/(x2-x1)

The distance that separates D(-5, -6) from E(5,2):

d = √((5-(-5))² + (2-(-6))²)

d = √((10)² + (8)²)

d = √(100 + 64)

d = √164

d = 12.8

Slope from D(-5, -6) to E(5,2):

m = (2-(-6))/(5-(-5))

m = (8)/(10)

m = 0.8

Between E(5, 2) and F(4, -4):

d = √((4-5)² + (-4-2)²)

d = √((-1)² + (-6)²)

d = √(1 + 36)

d = √37

d = 6.08

Slope between E(5,2) and F(4, -4):

m = (-4-2)/(4-5)

m = (-6)/(-1)

m = 6

Distance between F(4, -4) and G(-6, -12):

d = √((-6-4)² + (-12-(-4))²)

d = √((-10)² + (-8)²)

d = √(100 + 64) …

d = √164

d = 12.8

Slope between F(4, -4) and G(-6, -12):

m = (-12-(-4))/(-6-4)

m = (-8)/(-10)

m = 0.8

Learn more about Slope :

brainly.com/question/3493733

#SPJ4

A paperweight, the shape of a hemisphere, fits snugly inside a cylinder-shaped box with a radius of 9 cm. A cone fits snugly inside the paperweight hemisphere.

What is the volume of the cylinder in terms of
? Show all work.
What is the volume of the cone in terms of
? Show all work.
Estimate the volume of the hemisphere in terms of
by calculating the average of the volumes of the cylinder and cone. Show all work.

Answers

The volume of the cylinder is 162πx, the volume of the cone (1/3)πx^3 and the volume of the hemisphere is (162πx + (1/3)πx^3)/2

Volume of the cylinder:

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height of the cylinder.

In this case, the height of the cylinder is equal to the diameter of the paperweight hemisphere, which is twice the radius of the cone.

Let's call the radius of the cone "x". The diameter of the paperweight hemisphere is equal to 2x, so the height of the cylinder is equal to 2x. The radius of the cylinder is 9 cm, so we can calculate the volume of the cylinder as follows:

V = πr^2h = π * 9^2 * 2x = 162πx

Volume of the cone:

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height of the cone. In this case, the height of the cone is equal to the radius of the cone, so we can calculate the volume of the cone as follows:

V = (1/3)πr^2h = (1/3)π * x^2 * x = (1/3)πx^3

Volume of the hemisphere:

The volume of a hemisphere can be calculated using the formula V = (2/3)πr^3, where r is the radius of the hemisphere. To estimate the volume of the hemisphere, we can calculate the average of the volumes of the cylinder and cone.

V_hemisphere = (V_cylinder + V_cone)/2 = (162πx + (1/3)πx^3)/2

This expression represents the estimated volume of the hemisphere in terms of x, the radius of the cone.

For such more question on Volume

https://brainly.com/question/463363

#SPJ4

Can you guy solve it please

Answers

The area of the triangle in the diagram is one square foot.

How to find the area of the triangle?

We know that the area of a triangle of base B and height H is given by the formula:

Area = B*H/2

On the diagram we can se that the measure of the base is 3 ft, and the height is 2/3 ft, then the area of that triangle will be:

Area = (3 ft)*(2/3 ft)/2 = 1 ft²

The area of the triangle is one square foot.

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

A balloon archway has been ordered for decorating high school gym for a 1950 style prom. The archway will contain 275 balloons each holding 1. 2 liters of helium. Each balloon has a mass of 27 milligrams when empty and all the string and fixings that hold the balloons together total 45 grams. If helium has a density of 0. 1785 grams per liter , what is the mass of the entire archway

Answers

We could calculate the weight of individual balloons from given density and empty mass. From that calculate the total weight of balloons and added to the weight of fixings. So the weight of archway becomes 111.33g.

Volume of helium each balloon is holding = 1.2L

Density of helium = 0.1785

Density = mass/volume

Mass = density/volume

So mass of helium in each balloon = 1.2×0.1785 = 0.2142 g =  214.2 mg

Mass of empty balloon = 27 mg

So the total mass of a balloon after filled with helium = 214.2 + 27 = 241.2 mg

Mass of 275 such balloons = Mass of 1 balloon × 275

                                             = 241.2 ×275 = 66330 mg = 66.33 g

Mass of all strings and fixings = 45 g

Total mass of archway = mass of 275 balloons + mass of fixings and strings = 66.33 + 45 = 111.33 g

For more information regarding mass, volume and density, kindly refer

https://brainly.com/question/18354236

#SPJ4

Which expressions are equivalent to t(-7.4s+3.8-4.5)-t? Select all that apply.
-7.4st-1.7t
t(-3.6s-4.5)-t
t(3.8s-7.4-4.5)+10.2t
t(-7.4s-0.7)-t
t(7.4s+3.8)-5.5t

Answers

The equivalent expressions to t(-7.4s+3.8-4.5)-t are:

-7.4st-1.7tt(-3.6s-4.5)-tt(7.4s+3.8)-5.5t

What are the equivalent expression?

This expression can be simplified as follows:

t(-7.4s + 3.8 - 4.5) - t

= t(-7.4s - 0.7) - t

= -7.4st - 1.7t.

t(-7.4s+3.8-4.5)-t

= t(-3.6s-4.5)-t

-7.4s + 3.8 - 4.5t - t

= t(7.4s+3.8)-5.5t

Therefore the correct options are A, B, E.

Learn more about expression here:https://brainly.com/question/1859113

#SPJ1

A badge is made from a triangle and three-quarters of a circle as shown.

Answers

Answer:

3404.9(1dp)

Step-by-step explanation:

Anna compra helado y naranjas en la tienda.
• Ella paga un total de $59.53.
• Ella paga un total de $6.49 por el helado.
• Ella compra 8 bolsas de naranjas que cuestan la misma cantidad cada una.
Escribe y resuelve una ecuación que se pueda usar para determinar X, cuánto cuesta
cada bolsa de naranjas.
Ecuación:
Respuesta: X=

Answers

Answer:

Ecuación: 59.53 - 6.49 = 53.04

53.04 / 8 = X

X = 6.63

Respuesta: X=6.63

Cindy is making a paste. For every 1 1/8 cups of water she uses 2 5/8 of flour. How much flour does Cindy need for each cup of flour?

Answers

Answer:

0.43 cup of water

Step-by-step explanation:

We know

For every 1 1/8 cups of water, she uses 2 5/8 of flour.

1 1/8 = 9/8 = 1.125

2 5/8 = 21/8 = 2.625

How much water does Cindy need for each cup of flour?

1.125 divided by 2.625 = 0.43 cup of water

So, Cindy needs 0.43 cup of eater for each cup of flour

Other Questions
karen is a retired nurse who used to work night shifts who has difficulty falling asleep at night over the last year. she regularly consumed caffeine across the day and became accustomed to leaving the tv on while getting ready for bed. what sleep disorder does karen have? group of answer choices Erika was not among those who disliked Mr. Kelp. As point guard, she was the best passer on the team. She was also the only one not worried about passing science. Her B in Mr. Kelp's class was her lowest letter grade overall. Still, she appreciated how he challenged the class. He didn't let students skate by with minimum effort. Erika considered his class to be good preparation for college. She made plans to meet Mr. Kelp before school. She wanted to ask if he would hold a special study session to help the team prepare for the exam. Her teammates were not fond of the idea.According to Erika, her teammates did not see the point in a study session. They insisted that there was not enough time to learn everything. They were going to fail and get kicked off the team. The season was going to end in embarrassment. Then, one of the teammates spoke out. Erika would not reveal which teammate it was, but she remembers the words clearly. "Our only chance is for someone to get a copy of the test so we know the answers ahead of time." The team smiled. They felt like they had been offered some hope. Erika frowned. She felt like she had been given an order.Erika tried protesting for a while, but she felt trapped. "As soon as the idea was out there, everyone jumped on it," Erika explained. "They kept telling me it would be easy. That I could save the season. That a real teammate puts the team first." Before she knew it, the team had drawn up a plan. Erika would visit Mr. Kelp's room the following morning. Someone would create a distraction down the hall. When Mr. Kelp investigated, Erika would grab a copy of the test from his desk. Erika wanted to say no, but between championships and friendships, there was too much to lose if she did.The following morning, Erika stood in Mr. Kelp's room with her hands shaking and her teeth chattering. She snatched a blank test as he stepped into the hall. What happened next is a blurpartly because it happened quicklymostly because Erika would like to forget it ever happened at all. She was called to the office, her backpack was searched, and the test was found. By the day's end, she had apologized to a shocked Mr. Kelp. She had been removed from the team by a disappointed coach. She had been suspended by an angry principal and driven home by tearful parents.Wanting to be a good teammate, Erika never mentioned the other players. She expected them to step up and admit their involvement. She ended up taking the fall alone. Her teammates avoided her, saying they were happy the cheater was off of the team. With the exam postponed, they were treated as heroes for winning the championship without her. Erika transferred to another school, remembered as the girl who cheated to make straight A's. Today, a star athlete and college scholar, Erika blames past mistakes on no one but herself. The ball is in her hands again. This time she plans on making better decisions.Which of the following facts is expressed implicitly in paragraph 5? (5 points) aErika transferred to another school. bErika's teacher postponed the exam. cErika's team won the championship. dErika was hurt by her teammates. if you were to look at a solution of k3po4 (aq) and see all the molecules and ions, what specific molecules and ions would you see? of those, which would make up most of the solution? which would make up the least amount of the solution? Ratio, Proportion ar d) 15 workers were employed to complete a piece of work in 36 d .how many more workers should be added to comelete the work in 30 days Which types of muscle move involuntarily?skeletalcardiacsmoothB and C The following data points represent the number of losses the Minnesota Igloos have had each season. 10,9,12, 10, 11, 12, 11 Using this data, create a dot plot where each dot represents a season. 9 10 11 12 Number of losses What were two DIFFERENT factors that contributed to the start of the Great Depression in America? Please explain how they led to disaster. (5 Points) When the economy suffers a downturn and the incomes of many people decrease, vacationers are more likely to take car trips than to fly. Which of the following provides one possible explanation for this phenomenon?a) Air travel and vacation travel by car are complementary goods.b) Air travel and vacation travel by car are both normal goods.c) Air travel is a normal good and vacation travel by car is an inferior good.d) Air travel is an inferior good and vacation travel by car is a normal good CAN SOMEONE PLS WRITE 1 RACE 3 PARAGRAPH (PROMPT): And the next two last paragraphs readers are told that Chavez believed that his job as an organizer was helping ordinary people to do extraordinary things right two or three sentences exploring how Chavez did this support your answer with textual evidence(TWO LAST PARAGRAPHS)Caesar like to say that his job as an organizer helping ordinary people do extraordinary things Caesar made everyone especially the farm workers feel the jobs that they were doing in the movement were very important It does not matter if they were lawyers working in the courtrooms or cooks in the kitchen feeding people involved in the strike He showed the farm workers that they could win against great odds He gave people the faith to believe in themselves even if they were poor and have ability to receive the best education Cesar succeeded were so many others failed for a hundred years to organize farm workers He was able to do the impossible by challenging and overcoming the power of one of the country's richest industries in California. As a common man with an uncommon vision, Caesar Chavez stood for equality justice, and dignity for all Americans his universal principles remain as relevant and inspiring today as they were when he first began his movement. which xxx and yyy correctly output the smallest values? ourvector uservals contains integers (which may be positive or negative). choices are in the form xxx / yyy. Remember it!Determine the statement that accurately explains theendothermic and exothermic reactions.4O Endothermic reactions absorb heatenergy while exothermic reactionsrelease heat energy.O Exothermic reactions absorb heatenergy while endothermic reactionsrelease heat energy.O Endothermic and exothermic reactionsabsorb thermal energy.O Endothermic and exothermic reactionsrelease thermal energy.REMThe prefix exo-applied to a chemean energyre if a car moving at 90 mi/h takes 300 ft to stop with uniform acceleration after its brakes are applied, how far will it take to stop under the same conditions if its initial velocity is 45 mi/h ? examining your graph, how would you describe the relationship between vapor pressure and temperature? is it linear? explain this relationship in terms of the kinetic energy of the molecules. A rugby team spend a number of hours training each week. 35% is spent on fitness and this lasts for 7 hours and 21 minutes. How long do the team spend training each week? can you match terms related to operons to their definitions? drag the terms on the left to the appropriate blanks on the right to complete the sentences. what is the general name of the processor feature that amd calls hypertransport? group of answer choices multicore processing multithreading virtualization multiprocessor platform according to the virginia plan, who or what would exercise power in all areas in which the separate states are incompetent? Answer the questions after reading the passageSpeech #1 As a representative of one of the six slaveholding states, I would like to state my position on an important issue. I feel that slaves should count as part of the states population for representation in Congress. Slaves should not, however, be counted for taxation purposes. Slaves are just as much a part of a states population as women and children. Women and children cannot vote, yet they count for representation. Since the South relies on slaves for their economy, slaves should not count as part of the population for direct taxation purposes. The slave owners would go broke if this happened. Counting slaves for taxation purposes would also hurt the economy of the North. The North relies upon the South for certain raw materials, such as cotton. We of the slave holding states, therefore, feel that slaves should not count as part of the states population for taxation, but slaves should count as part of the population in determining that states representation in Congress.Speech 2 As a representative of a free state, I feel that slaves should not count in deciding representation in Congress. If the southerners feel they must own slaves, they should pay for them. Since they actually own the slaves, the slaves are their property. Since slaves are property, they should not count as part of the population for representation. I own 500 cows in the North. If slaves are property and my cows are property, then cows should also count as part of the population if slaves are to be counted. It is only fair to count slaves for taxation purposes. If people own slaves it is only fair that they are taxed for their ownership. The federal government needs the tax money and it is in the best interest of the entire nation that slaves be counted for taxation purposes.Questions:18. Where is the speaker in speech #1 from? 19. What is his stance on the issue of counting slaves for taxation? Representation in Congress?20. Where is the speaker in speech #2 from? 21. What is his opinion on the issue of counting slaves for taxation? For representation? Which principle of art shows the size or location from one thing to another?(10 Points) Balance Form Rhythm Proportion Erika was not among those who disliked Mr. Kelp. As point guard, she was the best passer on the team. She was also the only one not worried about passing science. Her B in Mr. Kelp's class was her lowest letter grade overall. Still, she appreciated how he challenged the class. He didn't let students skate by with minimum effort. Erika considered his class to be good preparation for college. She made plans to meet Mr. Kelp before school. She wanted to ask if he would hold a special study session to help the team prepare for the exam. Her teammates were not fond of the idea.According to Erika, her teammates did not see the point in a study session. They insisted that there was not enough time to learn everything. They were going to fail and get kicked off the team. The season was going to end in embarrassment. Then, one of the teammates spoke out. Erika would not reveal which teammate it was, but she remembers the words clearly. "Our only chance is for someone to get a copy of the test so we know the answers ahead of time." The team smiled. They felt like they had been offered some hope. Erika frowned. She felt like she had been given an order.Erika tried protesting for a while, but she felt trapped. "As soon as the idea was out there, everyone jumped on it," Erika explained. "They kept telling me it would be easy. That I could save the season. That a real teammate puts the team first." Before she knew it, the team had drawn up a plan. Erika would visit Mr. Kelp's room the following morning. Someone would create a distraction down the hall. When Mr. Kelp investigated, Erika would grab a copy of the test from his desk. Erika wanted to say no, but between championships and friendships, there was too much to lose if she did.The following morning, Erika stood in Mr. Kelp's room with her hands shaking and her teeth chattering. She snatched a blank test as he stepped into the hall. What happened next is a blurpartly because it happened quicklymostly because Erika would like to forget it ever happened at all. She was called to the office, her backpack was searched, and the test was found. By the day's end, she had apologized to a shocked Mr. Kelp. She had been removed from the team by a disappointed coach. She had been suspended by an angry principal and driven home by tearful parents.Wanting to be a good teammate, Erika never mentioned the other players. She expected them to step up and admit their involvement. She ended up taking the fall alone. Her teammates avoided her, saying they were happy the cheater was off of the team. With the exam postponed, they were treated as heroes for winning the championship without her. Erika transferred to another school, remembered as the girl who cheated to make straight A's. Today, a star athlete and college scholar, Erika blames past mistakes on no one but herself. The ball is in her hands again. This time she plans on making better decisions.Which of the following facts is expressed explicitly in paragraph 5? (5 points) aErika has become a college student and athlete. bErika has forgiven her teammates for what they did. cErika has learned an important lesson about life. dErika has worked hard to improve her reputation.