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3 years ago

You were paid $82.50 for seven 1/2 hours of work what is your rate of pay

Mathematics

1 answer:

sertanlavr [38]3 years ago

6 0

$11 per hour. Divide 82.5 by 7.5 and you get how much money she earns in an hour (11 dollars)

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

10 months ago

What is the slope of the line graphed above? A. -2 B. -1 c. -1/2 d. 1/2 E. 2

Ierofanga [76]

Answer:

-1/2

Step-by-step explanation:

pass (0,1) (2,0)

slope = rise/run = -1/2

5 0

3 years ago

Factor completely x2 − 10x + 25.

earnstyle [38]

X^2-10x+25 = (x-5)^2 or (x-5)(x-5)

7 0

3 years ago

Read 2 more answers

A side of the triangle below has been extended to form an exterior angle of 164º. Find the value of x.

OverLord2011 [107]

Answer:

x=111

Step-by-step explanation:

the supplementary angle is 16. triangles should add up to 180.

4 0

3 years ago

What is the common number of 5,4,100,1

cestrela7 [59]

Answer:

Step-by-step explanation:

These number can be de composed in primer factors as it is shown:

100=5*5*2*2*1

5=5*1

4=2*2*1

1=1

Where we can see that the only common number is 1

6 0

3 years ago