19. The total number of students T who traveled for spring break
consists of two groups: students who flew to their destinations F and students who
drove to their destination D. The number (in thousands) of students who flew and
the total number of students who flew or drove can be modeled by the following
equations, where n is the number of years since 1995.
T = 14n + 21
F = 8n + 7


a. Write an equation that models the number of students who drove to their
destination for this time period. /


b. Predict the number of students who will drive to their destination in 2012.


c. How many students will drive or fly to their destination in 2015?

Answers

Answer 1

a. The equation that models the number of students who drove to their destination for this time period is D = T - F.

b. The number of students who will drive to their destination in 2012 is calculated by substituting n = 17 into the equation D = T - F:

D = 14(17) + 21 - (8(17) + 7)
D = 238 - 119
D = 119

Therefore, 119,000 students will drive to their destination in 2012.

c. The number of students who will drive or fly to their destination in 2015 is calculated by substituting n = 20 into the equation T = 14n + 21:

T = 14(20) + 21
T = 291

Therefore, 291,000 students will drive or fly to their destination in 2015.

Related Questions

Determine if the expression − � + 3 � 5 − � 2 −a+3a 5 −a 2 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answers

No, the expression −  + 3 × 5 −  2 −a+3a 5 −a 2 is not a polynomial.

What is expression?

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers. Expressions can be complex, and often appear in the form of equations or formulas. Examples of expressions include equations, polynomials, functions, matrices and more.

A polynomial is an expression that is a sum of one or more terms, each of which is the product of a constant and a non-negative integer power of a variable. In the expression given, the exponent of the variable a is negative, which does not meet the criteria to be considered a polynomial.

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What is the value of 36celsius in fahrenheit?

Answers

The temperature conversion from Celsius to Fahrenheit is calculated using the following formula: Fahrenheit = (Celsius x 1.8) + 32. Increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

To convert a temperature of 36 degrees Celsius to Fahrenheit, we first multiply 36 by 1.8 to get 64.8, then add 32 to that result to get 96.8 degrees Fahrenheit. In other words, 36 degrees Celsius is equal to 96.8 degrees Fahrenheit. To better understand this conversion, it helps to remember that 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. The two scales are offset by 32 degrees, meaning that for every degree Celsius, the equivalent Fahrenheit temperature is 1.8 degrees higher. For example, 10 degrees Celsius is equivalent to 50 degrees Fahrenheit (10 x 1.8 = 18 + 32 = 50). Thus, increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

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Which of the following is a solution to z2 + 2 < 6?
0, 2, 4, -2, or -4

Answers

z = - 4, represents the solution of the inequality → z² + 2 < 6.

What is inequality?

An inequality is used to compare numbers or expressions. For example -

2x + 4 > 6       4x + 6 < 8            y > 9          x < 1

All the above expressions mentioned above represent inequalities.

Given is the inequality as -

z² + 2 < 6

The given inequality is -

z² + 2 < 6

Subtract {2} from both side we get -

z² < 4

z < ± 2

Therefore, z = - 4, represents the solution of the inequality → z² + 2 < 6.

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What is the median of these numbers?
56, 65, 77, 81, 92
If needed, round your answer to the nearest tenth.

Answers

Answer:

74.2

Step-by-step explanation:

Median is another word for average amount.

So if you add the numbers 56, 65, 77, 81, and 92 you would end up with 371.

To get an average, or the median, you take the numbers, add them together, then divide the answer by how ever many numbers you had.

In this case, you had 5, so

56+65+77+81+92=371

then divide by 5 so

371/5=74.2

A triangle has sides with lengths of 4 miles, 6 miles, and 8 miles. Is it a right triangle?
yes or no

Answers

Answer:

scalene, right triangle

Step-by-step explanation:

Determine whether it is a triangle and the triangle's type:

Answer: scalene, right triangle

A bowling alley charges $3+tax per shoe rental and $4+tax per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
tax rate is - 13%

Answers

The total cost will be $21 for the bowling alley.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that a bowling alley charges $3 plus tax for each pair of shoes and $4 plus tax for each player every game. If you and a friend hire a pair of shoes and bowl three games.

The total cost will be calculated as:-

Cost = ( 3 + 4 ) x 3

Cost = 7 x 3

Cost = $21

Therefore, the total cost will be $21.

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If a hexagon represents 1 whole, what fraction does each of the following shapes represent?

Answers

A triangle represents 1/4 of the trapezoid, a diamond represents 1/2 of the trapezoid, and a hexagon represents 1/1 of the trapezoid.

Determine the fraction of shapes

Each shape represents a different part of the overall trapezoid.

The triangle represents 1/4 of the full trapezoid. This is because the trapezoid has four triangles, all of the same size. So each triangle is 1/4 of the whole trapezoid. The diamond represents 1/2 of the full trapezoid. This is because the trapezoid has two diamonds, each of the same size. So each rhombus is 1/2 of the whole trapezoid.

The hexagon represents 1/1 of the whole trapezoid. This is because the trapezoid has only one hexagon, which is the same size as the entire trapezoid. So the hexagon is 1/1, the whole trapezoid.

In summary, a triangle represents 1/4 of a trapezoid, a diamond represents 1/2 of a trapezoid, and a hexagon represents 1/1 of a hexagon. Using these fractions, we can determine the value of each shape relative to the overall trapezoid.

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Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

Answers

A. (8 * t) + (8 * 8) is equivalent to 8t + 64

B. 4t + 8 + 4t is equivalent to 8t + 8

C. 4(2t + 2) is equivalent to 8t + 8

D. 8t + 64 is equivalent to 8t + 64

E. 8t + 16 is equivalent to 8t + 16

F. (8 + t) + (8 + 8) is equivalent to 16 + t.

So the expressions that are equivalent to 8(t + 8) are B and C, the expression that is equivalent to 8t + 8 is E, and the expression that is neither is F.

In the given problem, we are comparing the given expressions to see if they are equivalent to 8(t + 8), 8t + 8, or neither.

Expression A: (8 * t) + (8 * 8) = 8t + 64

This expression is equivalent to 8t + 64, which is not the same as 8(t + 8) or 8t + 8.

Expression B: 4t + 8 + 4t = 8t + 8

This expression is equivalent to 8t + 8, which means that adding up 4t and 8, and then adding 4t again to the result is the same as multiplying 8 with t and adding 8 to the result.

Expression C: 4(2t + 2) = 8t + 8

This expression is also equivalent to 8t + 8, which means that multiplying 2t + 2 with 4 is the same as multiplying 8 with t and adding 8 to the result.

Expression D: 8t + 64 = 8t + 64

This expression is the same as 8t + 64, which is not equivalent to either 8(t + 8) or 8t + 8.

Expression E: 8t + 16 = 8t + 16

This expression is the same as 8t + 16, which is not equivalent to either 8(t + 8) or 8(t + 8).

Expression F: (8 + t) + (8 + 8) = 16 + t

This expression is not equivalent to either 8(t + 8), 8t + 8, or neither.

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--The question is incomplete, answering to the question below--

"Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

A. (8 * t) + (8 * 8)

B. 4t + 8 + 4t

C. 4(2t + 2)

D. 8t + 64

E. 8t + 16

F. (8 + t) + (8 + 8)"

Gavin is moving into a new apartment that has a kitchen with a area of 50 ft.² if the area of the kitchen is 10 feet more than 1/3 the area of the bedroom where is the area of the bedroom complete the steps below to find the area of golf his bedroom but the variable B represent the area of the bedroom by any Quetion in terms of be to represent Galvin situation

Answers

The area of Gavin's bedroom is 120 square feet.

What is a square feet?

Square feet can be defined as the area of a square with sides of 1 foot.

Let B be the area of Gavin's bedroom in square feet.

According to the problem, the area of Gavin's kitchen is 10 square feet more than one-third of the area of his bedroom. So we can write:

Area of kitchen = (1/3)B + 10

We also know that the area of the kitchen is 50 square feet. So we can set up an equation:

(1/3)B + 10 = 50

Subtracting 10 from both sides, we get:

(1/3)B = 40

Multiplying both sides by 3, we get:

B = 120

Therefore, the area of Gavin's bedroom is 120 square feet.

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HELPPPPPPPP PLEASEEEE
algebra

Answers

Steps:

-x-2(-8x)=0

X=0

Y=-8(0)

Y=0

Solution

(X,Y) =(0,0)

Answer:

Your answer would be (x, y) = (0, 0)

Step-by-step explanation:

Please refer to the screenshot underneath.

Volume = 1243.44 in3

Height = 11 in

Solve this equation and you have the answer:

3.14 • 11 • r2 = 1243.44

Radius = in

Answers

The radius of the cylinder is approximately 5.88 inches.

What are equivalent equations?

Equivalent equations are algebraic equations that are having identical roots or solutions.

We can solve the given equation to find the radius of the cylinder using the volume and height information

3.14 * 11 * r² = 1243.44

First, divide both sides by 3.14*11 to isolate r²:

[tex]r^2 = 1243.44 / (3.14 * 11)[/tex]

r² ≈ 34.585

Taking the square root of both sides, we get:

r ≈ 5.88

Hence, the radius of the cylinder is approximately 5.88 inches.

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5 In a game that you are playing, your friend says that she has -6 points "give or take" 4 points. You currently have -3 points in the game. Can you say who is winning? Why or why not? Use a number line to explain.

Answers

Based on the information provided, it's not possible to say who is winning without knowing the specific game and how points are scored and awarded.

How to explain the information

The statement "has -6 points give or take 4 points" doesn't provide a specific range of points that your friend could have, so we can't use this information to determine a winner.

Additionally, using a number line to compare two points of -3 and -6 is not helpful in determining who is winning in the game because it only shows their relative values, not the actual rules of the game and how points are scored.

It would be best to ask the friend to clarify their score and the rules of the game to determine who is winning.

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Nicole school is selling tickets to the annual dance competition on the first day of ticket sales the school sold 3 adult tickets and 2 child tickets for a total of 34$ the school took in $114 on the second day by selling 3 adult tickets and 12 child tickets what is the price each of 1 adult ticket and 1 child ticket

Answers

Answer: Child ticket: $8, Adult ticket: $6

Step-by-step explanation:

Let's call the price of 1 adult ticket "a" and the price of 1 child ticket "c".

On the first day, the school sold 3 adult tickets for a total of 3a dollars, and 2 child tickets for a total of 2c dollars, for a total of 34 dollars. So, we have the equations:

3a + 2c = 34

On the second day, the school sold 3 adult tickets for a total of 3a dollars and 12 child tickets for a total of 12c dollars, for a total of 114 dollars. So, we have another equation:

3a + 12c = 114

We can now use these two equations to solve for the value of "a" and "c".

We can use substitution to solve for one variable, then substitute it back into either of the equations to solve for the other variable.

Let's solve for "a" by substituting the first equation into the second:

3a + 12c = 114

3a = 114 - 12c

a = (114 - 12c) / 3

Now that we have an equation for "a", we can substitute it back into the first equation to solve for "c":

3a + 2c = 34

3[(114 - 12c) / 3] + 2c = 34

114 - 12c + 2c = 34

-10c = -80

c = $8

So, the price of 1 adult ticket is

a = (114 - 12c) / 3

a = (114 - 12 * 8) / 3

a = (114 - 96) / 3

a = 18 / 3 = $6.

The bank grants Marcus Dobson a loan for $22,000 with an APR
of 10 percent. He agrees to a down payment of 20 percent and will repay the loan over 24
months. What amount will Dobson have to repay?
A. $24,340.80
B. $17,600 C. $19,472.64 D. $1,872.64

Answers

The solution is, Dobson have to repay B. $17,600.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The bank grants Marcus Dobson a loan for $22,000 with an APR

of 10 percent.

He agrees to a down payment of 20 percent and will repay the loan over 24 months.

so, he paid = 22000*20%

                  = $4400

so, remained loan = $ 17600

using the formula of interest , we get,

he has to repay with interest = $ 17600* 10%* 2 + $ 17600

                                                 =$ 3520 + $ 17600

                                                  =$ 21120

Hence, The solution is, Dobson have to repay B. $17,600.

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An army sergeant works as a trauma surgeon. Which two career clusters is she most likely a part of?

the Energy cluster and the Education and Training cluster
the Health Services cluster and the Energy cluster
the Government and Public Administration cluster and the Health Services cluster
the Education and Training cluster and the Government and Public Administration cluster

Answers

Both clusters are relevant to her career.

Why is it referred to as a cluster?

Cluster is derived from the old english word clyster, which means a group. Cluster is now used as both a noun and a verb.

The army sergeant who works as a trauma surgeon is probably in the Health Services and Government and Public Administration clusters.

Health Services occupations include diagnosing, treating, and preventing illnesses and injuries, while Government and Public Administration occupations include planning, managing, and providing government functions and services. The individual is a member of the military, which is a government organisation, and a trauma surgeon, which is a part of the healthcare industry. As a result, both clusters are pertinent to her career.

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There are 4 grams of sugar in 1⁄2 of a liter of a new sports drink. How much sugar is in 3⁄4 of a liter of the sports drink?

Answers

Answer:

6 grams of sugar in 3/4 liter.

Explanation:

Recall that two 1/4 portions is equal to 1/2.  So if 1/2 liter has 4 grams, 1/4 liter will have 2 grams of sugar.

Every 1/4 liter will have 2 grams of sugar.

Therefore, 3/4 liter will have 3 times as much sugar as 1/4 liter.  The amount of sugar in 3/4 liter will be 3 times 2 grams or 6 grams of sugar in 3/4 liter

Chapter 4 Lesson 3 Solving System of Equations Using Elimination

Answers

The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are respectively:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

How to evaluate for the solutions of the equations by elimination

we shall write the equations as:

7x - 4y = -12...(1)

x - 2y = 4...(2)

multiply equation (2) by 7 to get equation (3)

7x - 14y = 28...(3)

subtract equation (1) from (3) to eliminate x

7x - 14y - 7x + 4y = 28 + 12

-10y = 40

divide through by -10

y = -4

put the value -4 for y in equation (2) to get y

x - 2(-4) = 4

x + 8= 4

x = -4

x - y = 4...(1)

2x + y = 5...(2)

Add equations (1) and (2) to eliminate y

2x + y + x - y = 5 + 4

3x = 9

divide through by 3

x = 3

put the value 3 for x in equation (1) to get y

3 - y = 4

y = -1

4x - 3y = 17...(1)

2x - 5y = 5...(2)

multiply equation (2) by 2 to get equation (3)

4x - 10y = 10...(3)

subtract equation (3) from (1) to eliminate x

4x - 3y - 4x - 10y = 17 - 10

7y = 7

divide through by 7

y = 1

put the value 1 for y in equation (2) to get y

2x - 5(1) = 5

2x - 5 = 5

x = 5

5x + 6y = -6...(1)

7x - 3y = -54...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)

35x + 42y = -42...(3)

35x - 15y = -270...(4)

subtract equation (4) from (3) to eliminate x

35x + 42y - 35x + 15y = -42 + 270

57y = 228

divide through by 57

y = 4

put the value for y in equation (1) to get x

5x - 6(4) = -6

5x + 24 = -6

x = -6

Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

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i need help on this i would appreciate you soo much!!

Answers

Answer:

2(-3x+2)^2 -1

Step-by-step explanation:

so first you would find that f(g(x)) = f(-3x+2)

next plug in

f(-3x+2) = 2x^2-1

to every x

f(-3x+2) = 2(-3x+2)^2-1

Find the explicit equation.

Answers

Answer:

f(n) = 10 + 3n

Step-by-step explanation:

Each of the expressions has 10 + a certain number of 3's

For example for n = 3 we have
f(3) = 10 + 3 threes = 10 + 3 x 3 = 10 + 9 = 19

For n = 4, we have

f(4) = 10 + 4 threes = 10 + 4 x 3 = 10 + 12 = 22

The others follow the same pattern

So the explicit equation is

f(n) = 10 + 3n

Testing on n = 6 we get

f(6) = 10 + 6n = 10 + 6 x 3 = 10 + 18 = 28

PLS HELP

If the difference of a number and nine is doubled, the result is eight more than the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

Let's call your number x. Difference between your number and nine is doubled, which means that (x-9)•2 and that is equal to eight more than the number, so (x-9)•2 = x+8.
After this we simply calculate:
(x-9)•2 is 2x-18, so now we have
2x-18 = x + 8, move the x on the right to the left side and move -18 on the left side to the right so it becomes
x = 26

A common height at which commercial aeroplanes fly is 30 000 feet above sea level. This corresponds to how many miles?

Answers

Answer:

Below

Step-by-step explanation:

There are 5280 ft in a mile...how many 5280's are there in 30 000 ?

30 000 ft  / 5280 ft/mile  = 5.68 miles

The height of 30,000 feet above sea level corresponds to 5.68 miles.

To convert feet to miles,

we can use the conversion factor 1 mile = 5280 feet.

Therefore, to find how many miles 30,000 feet corresponds to, we can divide 30,000 by 5280:

=30,000 feet / 5280 feet/mile

≈ 5.68 miles

So, 30,000 feet above sea level corresponds to 5.68 miles.

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What is the division derivative rule?

Answers

Answer:

6

Step-by-step explanation:

Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 74 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent

Answers

Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = [tex]\frac{ (Final value -Initial value)}{ (Initial value)}[/tex]× 100

Percent Change               = [tex]\frac{(74-60)}{60}[/tex]× 100

…                                     = [tex]\frac{14}{60}[/tex] × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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leading coefficient of -1 and a constant term of -20

Answers

The roots of the equation is x = -20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The leading coefficient of the equation is -1

And , the constant term is -20

Now , according to rational root theorem ,

So , the equation is

-x - 20 = 0

Adding x on both sides of the equation , we get

x = -20

Therefore , the value of x is -20

Hence , the equation is x = -20

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The measure of central location most often reported for annual income and property value data is the__
A. Mode
B. Median
C. aggregate mean
D. weighted mean

Answers

The answer is the Median

ــــــ
-5
4
1
22
D) Where is Point A on the number line?
-3
1
-3
2
1
3-
2
2
2
2
2
A
||||
4
3
5

Answers

The Point A on the number line is 2 1/2

Where is Point A on the number line?

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

The number line

On the number line, we have

A = Halfway between 2 and 3

Using the above as a guide, we have the following:

A = (2 + 3)/2

Evaluate

A = 2 1/2

Hence, the position is 2 1/2

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Which shapes from the Clade Race would be considered plesiomorphic?a. Circle b. Heart c. Square d. Arrowe. Cross f. Moon g. Star h. Triangle i. Hexagon

Answers

Amongst the options circle shape from the Clade Race would be considered plesiomorphic.

A primitive or ancestral character state is called plesiomorphy or known as a plesiomorphic character), and a shared plesiomorphy is called a symplesiomorphy. For example, let us take an example of hair. It is a unique mammalian character that evolved with the evolution of mammals.

The term apomorphy means a specialized or derived character state which is plesiomorphy. It refers to a primitive or ancestral trait. An same as autapomorphy, it is a derived trait that is unique to one group, while a same as synapomorphy is a derived trait shared by two or more groups.

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Can someone pls help meeeeeee!!!

Answers

Answer:

For question 2, Ethan needs 3 cups of milk to make the batter for 3 times as many cakes.

For question 3, Isabella needs 5/4 of a gallon of the food to make 5 gallons of the mixture.

9. A helicopter is traveling at a speed of 44 meters per second in the direction of S 61° E. Find the
magnitude of the horizontal and vertical components.

Answers

The magnitude of the horizontal and vertical components are 21.33 m/s and 38.48 m/s

How to find the magnitude of the horizontal and vertical components.

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

Velocity = 44 meters per second

Direction = S 61° E

This means that

V = 44 and angle = 61°

The direction angle is 61° from the positive x-axis (E), so we can use the following trigonometric relationships to find H and V:

H = 44 * cos(61°) --- horizontal

V = 44 * sin(61°) --- vertical

Using a calculator, we can find that:

H = 21.33 m/s

V = 38.48 m/s

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a equation of a line that passes through point. (-3, 1) and point (4, 8).

Answers

y=1x+4

You can find this answer out by plotting these two lines into a graphing calculator and see what the line intercepts through
Other Questions
Prepaid expenses should be _____ by the cost of the asset used during the accounting period.a. unaffectedb. increasedc. decreased A factory manufactures a metal piece in 32 minutes. New technology allowed thefactory to cut that time by 8%. Then another improvement cut the time by 5%.How long does it take to manufacture the piece now? Round your answer tothe nearest minute. Edward serves 4 cups of coffee every nine minutes how many cups of coffee does he serve every minute write an equation where y is the subject that represents this proportional relationship fill in the blank. firms operating globally often need to give some latitude to their local managers to tailor their strategies and practices to meet the needs of their locations. this highlights the___aspect of global sourcing. : examines large-scale social structures to determine how they impact groups and individuals: examines large-scale social structures to determine how they impact groups and individuals What is the No information rate in statistics? write a function from scratch called `roc curve computer` that accepts (in this exact order): - a list of true labels - a list of prediction probabilities (notice these are probabilities and not predictions - you will need to obtain the predictions from these probabilities) - a list of threshold values. the function must compute and return the true positive rate (tpr, also called recall) and the false positive rate (fpr) for each threshold value in the threshold value list that is passed to the function. **important:** be sure to reuse functions and code segments from your work above! you should reuse two of your above created functions so that you do not duplicate your code. What Are Names of Some First Generation Antipsychotic Drugs? in the context of tree-building, what do we mean when we say parsimonious? A sculpture is made of solid brass in the shape of a cone. The sculpture is 90 inches tall, and its base has a diameter of 12 inches. If brass costs $0.55 per cubic inch, how much did the brass for the sculpture cost?use 3.14 for pi, and do not round your answer. Which inequality shows a correct comparison?A. -115 < -27B. -78 > 47C. -85 > -65D. 126 < -218 What Is the Natural Rate of Unemployment? differences in these bacterial structures can influence which antibiotics bacteria are susceptible to. a state is looking to reduce the cost of transportation, which uses 7.101014 7.10 10 14 btus btus per year. currently the cost of 106 10 6 btus btus is $20.00. how much will the state save in one year if they implement regulations requiring all transportation methods to be 20% more efficient? How did limited liability, general incorporation laws, and the Charles River Bridge decision representadvances in business organizations? please answer this! cumulative frequency distributions show the multiple choice question. accumulated counts up to and including the current bin as the bin limits increase. total count minus the current bin count. the number of observations in the each bin only. the number total number of observations in the bin and any bins with limits greater. Let A be an mn matrix.Suppose that the nullspace of A is a plane in R^3 and the range is spanned by a nonzero vector v in R^5. Determine m and n. Also, find the rank and nullity of A. The diagonals of a rhombus are perpendicular bisector of each other.true or false 2 years ago father was three times old as his son and two years hence twice his age will be equal to 5 times that of his son find their present age