A person earns $187.42 before deductions for 3 days' work. What is the rate of pay per hour assuming 8 hours of work per day?

Which of the following lines is perpendicular to the x-axis and contains the point (-11.4, 12.8)

sergejj [24]

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Step-by-step explanation:

Let us revise the equations of the vertical lines and horizontal lines

The vertical line is a line parallel to y-axis
The x-coordinates of all points lie on the line are equal
The equation of the vertical line basses through point (a , b) is x = a
The horizontal line is a line parallel to x-axis
The y-coordinates of all points lie on the line are equal
The equation of the horizontal line passes through point (a , b) is y = b
The vertical line and the horizontal line are perpendicular to each other when intersect each other

∵ The line is perpendicular to the x-axis

∴ The line is a vertical line

∴ The equation of the line is x = a, where a is the x-coordinate

of any point lies on the line

∵ The line contains point (-11.4 , 12.8)

∵ The x-coordinate of the point is -11.4

∴ a = -11.4

∴ The equation of the line is x = -11.4

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Learn more:

You can learn more about the linear equation in brainly.com/question/13168205

#LearnwithBrainly

7 0

3 years ago

True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

nekit [7.7K]

Hi there!

$\large\boxed{\text{False.}}$

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

7 0

3 years ago

A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con

Mashutka [201]

The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
$\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V$
To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
$16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h$
We would now divide both sides by 3 2/10:
$\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}$
This is the same as:
$\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}$
So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.

8 0

3 years ago

Factor: x^{2} -10x-24

just olya [345]

Answer:

the answer to your question is (x+2) * (x-12)

5 0

3 years ago

Mr. Thornton's class visited five freshwater lakes to learn more about the crocodiles and alligators living in them to class cou

Yuliya22 [10]

Given table is given below

The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?

lake A and lake B

lake B and lake C

lake A and lake E

lake C and lake D

Answer : lake A and lake E

Lake ---> Crocodiles ---> Alligators ---> Ratio

A ---> 4 ----> 5

B ---> 21 ---> 35

C ---> 3 ---> 9

D ---> 6 ---> 16

E ---> 24 ---> 30

The ratio of A is 4: 5

B is 21: 35 = 3 : 5

C is 3 : 9 = 1 : 3

D is 6 : 16 = 3 : 8

E is 24: 30 = 4 : 5

Lake A and E has the same ratio 4: 5

7 0

3 years ago