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2 years ago

PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =

Mathematics

1 answer:

Tema [17]2 years ago

8 0

Slope=(5--8)\(8-4)= 13\4

13\4(x-4)=y+8

13\4x-13-8 =y

13\4x-21=y

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85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was re

8090 [49]

192 people were survey

Step-by-step explanation:

The given is:

85% of the people survey thought the price of the car wash was reasonable
164 people thought the cost of the car wash was reasonable

We need to find how many people were survey

Assume that x people were survey

∵ There were x people survey

∵ 85% of them thought the price of the car wash was reasonable

∴ The number of the people who thought the price of the car wash

was reasonable = 85% × x

∵ 85% = $\frac{85}{100}$ = 0.85

∴ The number of the people who thought the price of the car wash

was reasonable = 0.85 x

∵ 164 people thought the cost of the car wash was reasonable

- Equate 0.85 x and 164

∴ 0.85 x = 164

- Divide both sides by 0.85

∴ x = 192.94

∵ x represents a number of people, then it must be integer

∴ The number of people were survey = 192

192 people were survey

Learn more:

You can learn more about percentage in brainly.com/question/12960754

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7 0

3 years ago

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

COS (377= 32

Elanso [62]

The answer is c because the remaining number would be 10

4 0

3 years ago

If f(x) = 4x - 7, what's the value of f(2) ? *<br> O -1<br> O 1<br> O 20<br> O 35

sp2606 [1]

Answer:

Step-by-step explanation:

f(x) = 4x - 7

What does f(x) mean? It means that whatever variable you have on the left which is (x), the same variable must be on the right.

So f(2) means that whatever variable is on the right, it must be replaced with 2 on the right. So .....

f(2) = 4(2) - 7

f(2) = 8 - 7

f(2) = 1

3 0

2 years ago

How long does it take a car travelling at 60 m..p.h to go 5 miles?

Fynjy0 [20]

Answer:5 minutes

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers