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postnew [5]
3 years ago
13

Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.Who earns more money per hour? How

much more?
Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

Danielle earns $1.20 more than Mackenzie (per hour)

Step-by-step explanation:

To find out how much money per hour each person earns, you would divide the earinings by the number of hours;

Danielle: $36.80/4 = $9.20 per hour

MackKenzie: $50.40/6 = $8.40 per hour

To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;

9.40 - 8.20 = $1.20

Thus, Danielle earns $1.20 more than Mackenzie per hour.

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Identify the beginning of a sample period for the function: : f(t)=2csc(t+pi/4)-1
tamaranim1 [39]
ANSWER

- \frac{\pi}{4}

EXPLANATION

The given function is,

f(t) = 2 \csc(t + \frac{\pi}{4} ) - 1

This function has a period of
2\pi
just as the parent function

f(t) = \csc(t )

A sample period of this parent function is

[ 0 , 2\pi]

Which begins at zero.

For the transformed function,

f(t) = 2 \csc(t + \frac{\pi}{4} ) - 1
There has been a horizontal shift of
\frac{\pi}{4}
to the left.

The transformed function will have a sample period,

[ - \frac{\pi}{4} , \frac{7\pi}{4} ]

Therefore a sample period begins at

- \frac{\pi}{4}
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