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4 years ago

A pack of cinnamon-scented pencils sells for $7.00. What is the sales tax rate if the total cost of the pencils is $7.28?

1 answer:

8 0

First divide the new amount (7.28) by the original amount (7) and then times by 100

7.28 / 7 x 100 = 104

This tells us that 7.28 is 104% of 7
Minus this by 100 to get the sales tax rate:
104 - 100 = 4%

You could also subtract 7.28 by 7 first, then divide that by 7 and then multiply by 100:

7.28 - 7 = 0.28
0.28 / 7 x 100 = 4%

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An angle in standard position measures 5п 8 radians. In which quadrant does the terminal side of this angle lie? O Quadrant I II

user100 [1]

Answer:

I've attached a picture of a unit circle with the quadrant labeled.

Calculate the degree of 5п 8 radians:

$\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5$

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It's between 120°( $\frac{2\pi }{3}$ ) and 90°( $\frac{\pi }{2}$ ).

Find the quadrant it lies in:

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3 years ago

Fuad’s model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like th

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3 years ago

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I need an explanation (Picture provided)

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3 years ago

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serious [3.7K]

For the first question, the answer is A. You take 90 and multiply it by 3, then you get the time that it takes for one worker to mow the large park.

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3 years ago

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How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

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Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function $f(x)=x^3$ has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

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