The polynomial –16t2 + vt + h0 models the height, in feet, of a ball t seconds after it is thrown. In this polynomial, v represents the initial vertical velocity of the ball and h0 represents the initial height of the ball. Min throws a baseball from a height of 6 feet with an initial vertical velocity of 30 feet per second. Which polynomial models the height of the ball, in feet?

Answers

Answer 1

Answer: -16t^2 + 30t + 6

Step-by-step explanation: just substitute it...also did Edge

Answer 2

The height of the ball given by the polynomial describes the projectile

motion of the ball.

The polynomial that models the height of the ball Min throws, in feet is presented as follows;

h(t) = -16·t² + 30·t + 6

Reasons:

The given polynomial for the height of the ball is; h(t) = -16·t² + v·t + h₀

Where;

v = The initial velocity of the ball

h₀ = The initial height

t = The time in seconds

The polynomial that models the height of the ball Min throws is given by substitution of the values of v, h₀, in the above equation as follows;

The height of the ball is; h(t) = -16·t² + 30·t + 6

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Related Questions

Is this a function?
(-2,3) (-3,3) (2,-3) (3,-3)

Answers

Answer:

yes

Step-by-step explanation:

f(x)= -10x+6 Evaluate the function.
f(-2)=
a.-26
b.-14
c.0.8
d.26

Answers

F(-2)= -10(-2) + 6
F(-2) =20+ 6
F(-2) =26

Answer:

D. f ( - 2 ) = 26

Step-by-step explanation:

Step 1:

f ( x ) = - 10x + 6         Function

Step 2:

f ( - 2 ) = - 10 ( - 2 ) + 6       Input x value

Step 3:

f ( - 2 ) = 20 + 6       Multiply

Answer:

f ( - 2 ) = 26        Add

Hope This Helps :)

three children each eat 2/3 of a cake how much cake is eaten altogether?

Answers

Answer:

childre=3 cake eaten 2/3 so total eaten cake by children will be 2/3*3=2

[tex]2/3*3=3[/tex]

Step-by-step explanation:

The line r represents f(x)=x-4/3.therefore,the line that represents f^-1 is ___ and f^-1(x)=____ x+____.

Answers

Answer:

f^-1 is P and f^-1(x) = 3x+4

Step-by-step explanation:

I did the work in my notebook but pretty much to find the inverse of [tex]\frac{x-4}{3\\}[/tex] you gotta do an equation and yeh its pretty simple.

The solution is , f^-1 is P and f^-1(x) = 3x+4.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. 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.

here, we have,

from the given figure, we get,

The line r represents f(x)=x-4/3.

so, we get,

f^-1 is P

let, y = f(x)

and, f^-1(y)=x

i.e. y = x-4/3.

3y=x-4

x=3y+4

so, f^-1(y) = 3y+4.

and f^-1(x) = 3x+4.

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#SPJ5

Can 5x+5y be added together to make 10xy?

Answers

Answer:

no

Step-by-step explanation:


Express it in slope form

Answers

Y=Mx+b is slop intercept form the slope of the line is 1/4 and b is the y intercept which the line crosses over at -3 so it would be Y=1/4x-3

se lanza una piedra a un estanque de agua tranquila el cual crea ondas concentricas que aumentan el radio al pasar el tiempo. cuando la onda exterior alcanza 3 metros de radio, aumenta a una rapidez de 5 cm/s¿a que rapidezaumenta dicha areadel circulo por dicha onda?

Answers

This is what she/he is saying:

A stone is thrown into a pool of calm water which creates concentric waves that increase the radius over time. When the external wave reaches a radius of 3 meters, it increases at a speed of 5 cm / s, at what speed does this area of ​​the circle increase by said wave?

Just help with 7,8, and 10 I already got help with the rest also I’ll mark brainliest for a small explanation:)

Answers

You can apply the formula to find the slope. Take any two ordered pairs (preferably the ones easiest to subtract) from the table and then plug in the coordinates into the formula (y2 - y1)/(x2 - x1).

NEED HELP !!! give the following information about the linear function shown below. If unsure about placement, round to the nearest half.

Answers

Answer:

slope = -3

x-intercept = (4/3,0) = (1.33,0)

y-intercept = (0,4)

f(-1) = 7

Step-by-step explanation:

Take 2 known points

i.e (0,4) and (1,1) from the graph

slope = (1-4)/(1-0) = -3

now we have

linear equation

y = mx+c

we have (0,4)

4 = -3 * 0 + C

C =4

so the equation of line is

y = -3x + 4

now

f(-1) = -3 * -1 +4 = 3+4 =7

for x intercept, put y = 0

o = -3x + 4

x = -4/-3 = 4/3

for y intercept, x = 0

y = -3 * 0 + 4 = 0+4 = 4

Evaluate this expression. -86.4 + 16.38

Answers

Answer:

The answer is -70.22

Step-by-step explanation:

Answer:

-70.20

Step-by-step explanation:

not sure need help ​

Answers

Answer:

192

Step-by-step explanation:

There are 2 ways of solving for <4

The first is just to add the 2 angles not connected to <4

<4 = 51 + 51 = 102

The second is to find <2 and take that away from 180

<2 + 51 + 51 = 180

<2 = 180 - 102

<2 = 78

<4 + <2 = 180   (They are supplementary

<4 = 180 - 78

<4 = 102

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $33.79, and the cost for using 27 HCF is $55.24. What is the cost for using 18 HCF of water?

Answers

Answer:

The cost of using 18 HCF = $40.39

Step-by-step explanation:

A linear function is one that has a constant rate of change for all the values within the distribution. For a linear function, there is a constant, and that constant is known as the slope or gradient of the linear function.

Let us first calculate this constant (slope).

Let:

X₁ = 14 HCF, Y₁ = $33.79, X₂ = 27 HCF, Y₂ = $55.24, m = slope

[tex]m = \frac{Y_2-Y_1}{X_2 - X_1} \\m = \frac{55.24 - 33.79}{27-14} \\m = \frac{21.45}{13} \\m = 1.65[/tex]

at any two points on the linear function, the rate of change of the cost to HCF = 1.65

Now, Let X₃ = 18 HCF, Y₃ = cost for using 18 HCF

[tex]m = \frac{Y_3 - Y_1}{X_3-X_1} \\where\ m= 1.65\\1.65 = \frac{Y_3-33.79}{18-14}\\1.65 = \frac{Y_3 - 33.79}{4} \\6.6 = Y_3 - 33.79\\Y_3 =6.6+33.79\\Y_3 = 40.39[/tex]

Therefore, the cost of using 18 HCF = $40.39

N:B X₂ and Y₂ can also be used with X₃ and Y₃ to find Y₃. You can try it out, you should get the same result

The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspapers readers, how many readers does the newspaper

Answers

Answer:

1750

Step-by-step explanation:

We first find the rate

70/4

= 17.5

We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people

17.5 * 100

= 1750

What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.5 and 6.6,
B. She should find the average of 6.4 and 6.5.
C. She should estimate that 42 is 6.50
D. She should find the squares of numbers between 6.4 and 6.5.

Answers

This answer would be b because

Answer:

D

Step-by-step explanation:

Did the quiz

Please help I will brainliest!! Really urgent!!

and tell you me how you go it, not just the answer please!❤️

Answers

Answer:

1/8x - 11

Step-by-step explanation:

-3/8x - 2 + 1/2x - 9

-3/8x + 1/2x - 2 - 9

1/2x = 4/8x

-3/8x + 4/8x - 11

1/8x - 11

PLS MARK BRAINLIEST

Answer:

[tex]\frac{1}{8}x-11[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}x-2+\frac{1}{2}x-9[/tex]

[tex]-\frac{3}{8}x-2+\frac{4}{8}x-9[/tex] (find common denominator. [tex]\frac{1}{2} * \frac{4}{4} = \frac{4}{8}[/tex] )

[tex]\frac{1}{8}x-11[/tex] (add like terms. [tex]-\frac{3}{8}x + \frac{4}{8}x = \frac{1}{8}x[/tex] and -2 + (-9) = -11 )

What is the scale factor of triangle A to triangle D.

Answers

Answer:

the correct answer is isosceles

Answer:

When two shapes are similar, their corresponding angles will be the same.  The angles are the same because the shape is still the same.  You can tell from the order of the similarity statement which angles match up.  In the example, angles A and D are the same (both letters are in written first), angles B and E are the same (both letters are written in the middle), and C and F are the same

Step-by-step explanation:

Similar triangles can be different sizes, so the lengths of the corresponding sides are not necessarily the same, but they are proportional.  This means that the ratios of the corresponding sides are equal.

What integer represent 10 degrees above zero?

Answers

Answer:

 10

Step-by-step explanation:

an integer is an opposite but if it is above zero it is a positive number and and integer of a positive number is another positive number

Subtract 5x^2 – 2x – 5 from – 2x^2
- 5x - 7

Answers

Answer:

[tex]-7x^{2} -3x-2[/tex]

Step-by-step explanation:

[tex](-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2 = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2[/tex]

Answer:

-7x² -3x - 2

Step-by-step explanation:

(-2x²-5x -7) - (5x² - 2x - 5)

removing parentheses

-2x² -5x - 7 -5x² + 2x + 5

collect like terms

-2x² - 5x² -5x + 2x -7 + 5

= -7x² -3x - 2

Which of the following is a benefit to using a random sample for an observational study?

Answers

Answer:

Step-by-step explanation:

Even though no answer choices are given, the main benefit of this is that by choosing a randomly from a population it allows every single individual to have the same chance of getting chosen and observed. This randomness allows for that sample group to much more accurately represent the entire population that is being observed without having to conduct additional research. Therefore, becoming extremely useful in such studies.

A sample is a  group that is taken out of the population to be tested.

A random sampling occurs when subjects are being selected for a study  

The benefit of using random sampling is that each subject in the population is equally likely to be selected and the resulting sample is likely representative of the population.

Random sampling allows for unbiased estimates to be created, but at the cost of efficiency within the research process

Some advantages of random sampling shown below,

It has less risk of carrying an error.There is an equal chance of selection.It requires less knowledge to complete the research.

Learn more:

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1\2g+2g-3\4g+7

Can someone please help

Answers

For this problem combine like terms. Add 1/2g to 2g, which gives u 2.5G, then subtract 3/4g, which equals 1.25g. The answer is 1.25G+7

You are starting your own small business in Alabaster. You borrow $10,000 from the bank at a 9% rate for 5 years. Find the interest you will pay on this loan

Answers

Answer:

Step-by-step explanation:

F

What are two values that could bring you a sum of (-12)?

Answers

-6+(-6) it will add up to -12

Possible Answers:

any two nubers that add up to -12 work:

12 + (-24)

11 + (-23)

10 + (-22)

9 + (-21)

8 + (-20)

7 + (-19)

6 + (-18)

5 + (-17)

4 + (-16)

3 + (-15)

2 + (-14)

1 + (-13)

0 + (-12)

-1 + (-11)

-2 + (-10)

-3 + (-9)

-4 + (-8)

-5 + (-7)

-6 + (-6)

-7 + (-5)

-8 + (-4)

-9 + (-3)

-10 + (-2)

-11 + (-1)

-12 + (-0)

What person, Matt or Jane, has a constant rate of pay, and what is it?

Answers

Answer: Jane

Step-by-step explanation: Her pay is going up by the same amount, 12, each time.

Answer:

Matt's pay is not linear

Jane's pay is linear, and it is $12/hour

Step-by-step explanation:

Matt's Earnings:

As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $8. From 2 hours to 3 hours, the difference in hours is again 1, but the difference in pay is $11. Since equal changes in x do not produce equal changes in y, Matt's earnings are not linear.

Jane's Earning:

As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $12. From 2 hours to 3 hours, the difference in hours is again 1, and the difference in pay is again $12. Since equal changes in x produce equal changes in y, Jane's earnings are linear.

Jane's rate of pay is $12/hour

10 points


Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7.
What was the original number?

A. 3 1/2

B. -11 1/2

C. 2 1/2

D. -3 1/2

Answers

The answer is -11 1/2

can you help me with that

Answers

Answer: 55% or 11/20

Step-by-step explanation:

(U will get brainliest if u help! Pls write at least 2 sentences to support your answer :D )

What is 4 x 3/8 ?

Answers

4 × 3

8

= 4 × 3

8

= 4 × 3

8

= 2 × 3

4

= 1 × 3

2

= 1 × 3

2

= 3

2

= 1.5

A water tank is in the shape of an inverted cone with height twice its radius. Water is being pumped into the tank at a rate of 2m3/min. Find the rate at which the water level is rising when the water is 3m deep.

Answers

Answer:

dh/dt = 8/9π

Step-by-step explanation:

Given that

Volume of A cone = 1/3πr²h.

Assuming v is the volume of the tank, then dv/dt = 2 m³/min

Assuming h is the height of the water we're looking for dh/dt

To start, we need to find a relationship between dh/dt and dv/dt

We then write v as a function of h, instead of having it as h & r, and then by using similar triangles, we notice that

r/h = 2/4, essentially, r = h/2.

Now, we substitute for this r, in the formula for volume

V = 1/3πr²h

V = 1/3 * π * (h/2)² * h

V = 1/3 * π * h³/4

If we differentiate v, wrt t, we have

dv/dt = π/12 * 3h² * dh/dt

dv/dt = π/4 * h² * dh/dt

Remember that h = 3, so, substitute for h

2 = π/4 * 9 * dh/dt

8/π = 9 * dh/dt

dh/dt = 8/9π

What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25

Answers

Answer:

25

Step-by-step explanation:

Answer:

it is 25

Step-by-step explanation:

What are the relative maximums of the function: f (x) = x²-3x + 5

Answers

Answer:

(3/2,11/4)

Step-by-step explanation

-b/2a to find the axis of symmetry

3/2= axis of symmetry

Then plug that in to find the vertex/maximum or minimum

3/2^2-3(3/2)+5

9/4-9/2+5

You can only add fractions with like denominators multiply 9/2(2/2) and 5(4/4)

So, 9/4-18/4+20/4

9/4-18/4= -9/4+20/4= 11/4

So the maximum is

(3/2, 11/4)

The distance from point F to point G on a line segment is 5. Point F is at (4,a) and point G is at (1,6). What is the value of coordinate "a"?​

Answers

Answer:

X is up Y is over

X: 3 Y: 9

X: 9 Y: 3

X: 6 Y: 5

X: 5 Y: 6

Hope This Helps

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