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3 years ago

6

Guilia runs an average of 15 minutes each day.She has a goal of running 10 to the power of two minutes in 7 days. Will she compl

ete her running goal in 7 days?

1 answer:

zheka24 [161]3 years ago

6 0

Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes

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The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Fed [463]

Answer: y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

Shift 4 units to the right
Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0

3 years ago

Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?

Alexus [3.1K]

All you got to do is subtract. 2.285

5 0

3 years ago

Read 2 more answers

In a class of 30, students play either football or basketball (or both). If 21 students play football and 24 students play only

Murljashka [212]

Answer:

6 play both

Step-by-step explanation:

30-24=6

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3 years ago

Read 2 more answers

For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1

Volgvan

We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.

Let us assume t=0 corresponds to year 1980.

Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).

We can to find a linear function passing through these points. Let us first find slope of the linear function:

$m=\frac{y_{2}-y_{1} }{t_{2}-t_{1}} =\frac{47-39.7}{9-3} =\frac{7.3}{6} =\frac{73}{60}$

We can write the required linear function as:

$y-39.7=\frac{73}{60}(t-3)$

Upon simplifying this, we get:

$y=\frac{73}{60}t+\frac{721}{20}$

In order to find per capita consumption in 1995, we need to substitute t=15 in this function.

$y=\frac{73}{60}(15)+\frac{721}{20}=54.3$

Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.

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3 years ago

How much would each hauling company charge to haul 40 cubic yards of dirt?

prohojiy [21]

Answer:

You didn't put which hauling companies, but I think I have the same question has you.

EZ would charge <u>980</u>

Happy hauling would charge <u>1000</u>

3 0

2 years ago