Persons taking a 30-hour review course to prepare for a standardized excam averago a score of 620 on that exam. Persons taking a 70-hour review course average a score of 809. Find a linear function, S(t), which fits this data, and which
expresses score as a function of time. Use this function to predict an average score for persons taking a 42-hour review course. Do not round until the final answer. Then round to the nearest tenth as needed.

Answers

Answer 1

Answer:

S(t) = 4.725t + 478.25

S(t) = 4.725(42)+478.25

S(t) = 676.7

Step-by-step explanation:

In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.

Order the pairs to get:

(30,620) and (70, 809)

With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.

[tex]\frac{70-30}{809-620} = 4.725[/tex]

Use this equation and input any ordered pair to get the final function.

y-y1 = m(x-x1)

y-620 = 4.725x-141.75

y = 4.725x + 478.25

Replace x with t and y with S(t) to fit the x & y axis of the question.


Related Questions

A wall has to be made around a rectangular garden. The garden's area is
18O square feet. If the garden is 12 feet wide, what is the length?

Answers

Answer:

15

Step-by-step explanation:

the answer is 15. 12×15=180

20 POINTS! Determine if the two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ILL REPORT.

Answers

Answer: HL

Step-by-step explanation:

The shared side is congruent, meaning the triangles are congruent by HL.

Solve this question for brainlest. This is due at 6 pm

Answers

Answer:

2/5

Step-by-step explanation:

multiply length and width then divide the volume by the product of length times width

3/4 x 1/2 then divide 15/16

please help with this asap thank you

Answers

Answer:

Distributive Property


Please help :)
And explain how


Find the value of 5x + 3y when x = 6 and y = 7

Answers

Answer:

Answer is 51

Step-by-step explanation:

5(6) + 3(7)

30 + 21

51

Answer:

first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51

Step-by-step explanation:

5x+3y

5(6)+3(7)

30+21

51

hope this helps

15
x
23
find value of x that makes equation true

Answers

Answer:

345

Step-by-step explanation:

A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 3 years

Answers

Answer:

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Step-by-step explanation:

The amount is given by

[tex]V = Pe^{rt}[/tex]

Given P = $6520

r = 2.5%

t = 3 years

Substituting the given values, we get -

[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

What is the area? Help meeeeee pls

Answers

b. 54
do 1/2bh
1/2 x 9 x 12 and u will get 54

solve the given inequalitiesa) 2x +3> 15​

Answers

2x+3>15
-3. -3
2x>18
__ __
2. 2
x<9

Answer:

( 3 , 9 )

Step-by-step explanation:

First, add  

3

to each segment of the system of inequalities to isolate the  

x  term while keeping the system balanced:

3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18  6 < 2 x < 18

, divide each segment by  2

to solve for  x

while keeping the system balanced:

6 2 < 2 x 2 < 18  2  3 < 2 x 2 < 9  3 < x <  9  Or  x > 3 ;  x< 9

Brainliest?

The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minutes you can talk for $2.00 or less.​

Answers

Answer:

Step-by-step explanation

$20 but im not for sure so if im wrong im sorry

pls help me with this asap!!

Answers

19.20 you have to do a squared times b squared and the square root them and there's your answer

Need help!!!!!!!!!!!​

Answers

Answer:

90°

-Sum of angles in a triangle= 180°

-angle C is 90°

-therefore angle A + angle B is,

180° - 90° = 90°


There are 4 types of questions on Mrs. Moore's English final exam. The percent of each type of question is shown in the graph.
Types of Exam Questions

Answers

Answer:

10

Step-by-step explanation:

5 + 5

Describe the y-intercept and end behavior of the following graph

Answers

Answer:

B

Step-by-step explanation:

find the greatest four digits number which is divisible by 12, 18 and 30​

Answers

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

TELL WHICH NUMBER IS GREATER.



-7, -16


1)16


2)-16


3)-7


4)7

Answers

The greatest (biggest) number of these is 16
The weakest (smallest) number of these is -16

Please help ASAP!!!!!!!

Answers

Answer:

10th term is 10

Step-by-step explanation:

The nth term for finding the geometric progression is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

a11 = ar^11-1

a11 = ar^10

Since a11 = -5 and r = -1/2

-5 = a(-1/2)^10

-5 = a(1/1024)

a= 1024 * -5

a = -5120

Nest is to get the 10th terms

a10 = ar^9

a10 = -5120 * (-1/2)^9

a10 = -5120 * -1/512

a10 = 10

Hence the 10th term of the sequence is 10

Simplify. Please help me! (Exponents.) Picture added.

Answers

Answer:

it would be the last one i meant

Step-by-step explanation:

If there is a bracket you multiply the exponents
5x 2 =10
=6^10

in how man ways can you arrange 12 books in a shelf

A:479,001,160

B:479,000,600

C:479,100,600

D:479,001,600​

Answers

B is the answer your welcome by the way

Sabrina read 45% of the book that her English teacher
assigned. Which of the following correctly shows 45% as a
decimal and as a fraction?
A. 45%=45/100=9/20 B. 45% = 4.5 = 45/10 = 9/2 C. 45% = 45 = 450/100 = 9/2 D. 45% = 0.045 = 45/1,000 = 9/200

Answers

Answer:

A. 45%=45/100=9/20

Step-by-step explanation:

45% is 45 out of 100 or 45/100

9 divided by 20 equals 0.45

They are both equal to 45%

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.

What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

Answers

Step-by-step explanation:

Sol

Given that ,

mean =300

standard deviation =a =70

n=100

ux=128

a ) within 6 =300 +/-6 : 294, 306

P(294' ' 306)

: P(-0.86 : Z ' 0.86)

: P(Z ' 0.86) - P(Z ' -0.86)

Using z table,

: 0.8051-0.1949

: 0.6102

Probability : 0.6102

a ) within 18 =300 18 : 294, 318

P(294' ' 306)

: P(Z ' 2.57) - P(Z ' -2.57)

Using z table,

:0.9949-0.0051

:0.9898

Probability =0.9898

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

Which rule describes the function whose graph is
shown?
f(x) ={x+6 x<-4
x^2, -2 6- x, x>4
g(x)={x+6, x<-2
x^2, -2 6-x, x>2
h(x)={x+4, x<-2
x^2, -2 4-x, x>2

Answers

b. g(x)...

domain: a. (-infinity, infinity)

range: b. (-infinity, 4}

Option (B) is the correct option.

What is the graphing function?

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation".

For the given situation,

[tex]f(x) ={x+6 x < -4x^2, -2 6- x, x > 4[/tex]

[tex]g(x)={x+6, x < -2x^2, -2 6-x, x > 2[/tex]

[tex]h(x)={x+4, x < -2x^2, -2 4-x, x > 2[/tex]

Plot the graph for the given functions [tex]f(x), g(x), h(x)[/tex].

After plotting all the functions, the function [tex]g(x)[/tex] describes the graph shown.

Hence, option (B) is the correct option.

Learn more about  graphing functions here

https://brainly.com/question/24696306

#SPJ2

What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.
OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44

Answers

Answer:

The solution is [tex]x = 0.83[/tex]

Step-by-step explanation:

We are given the following equation:

[tex]e^{3x} = 12[/tex]

To isolate x, we apply ln, which is the inverse of the exponential. So

[tex]\ln{e^{3x}} = \ln{12}[/tex]

[tex]3x = \ln{12}[/tex]

[tex]x = \frac{\ln{12}}{3}[/tex]

Using a calculator:

[tex]x = 0.83[/tex]

The solution is [tex]x = 0.83[/tex]

Evaluate (−2)(−3)(−4)(−1)(−2)

Answers

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.

Answers

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

°°°°°°°°°°°°°°°°°°

What value of x is a solution to this equation?
-5x - 10x = -60

Answers

Answer:

0.25

Step-by-step explanation:

-5x - 10x = -15x

-15x = -60

x = 0.25

Answer: x=-4

Step-by-step explanation:

Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them

Answers

Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

A pair of shoes cost $25. This is $14 less than the cost of a pair of Jeans. Find the cost of the jeans.

25=j-14

Answers

Answer:

j = 11

Step-by-step explanation:

$25 - $14 = 11

I need to know the area!!!

Answers

Answer:

Area of Grass = 6 m²

Area of Cement = 24 m²

Area of Grass and Cement Together = 30 m²

Step-by-step explanation:

Area of Grass = 3m × 2m = 6m²

Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²

Area of Grass and Cement Together = 6m² + 24m² = 30m²

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