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Mars2501 [29]
2 years ago
6

Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mi

le marker ,she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?
Mathematics
1 answer:
Anna007 [38]2 years ago
4 0

Answer:

hence, she is riding \frac{2}{15} miles per minute

Step-by-step explanation:

The computation of the rate at which she is riding is shown below:

Given that

Rita covered 1 mile in 15 minutes.

And, her covered 3 miles in 30 minutes.

Now

Let us assume the number of miles covered would be in x minutes

So for one miles the point would be (15,1)

And for three miles, the point is (30,3)

Now the slope of the line is

m equal to

\frac{y_2 - y_1}{x_2 - x_1} \\\\\frac{3 - 1}{30 - 15} \\\\\frac{2}{15}

hence, she is riding \frac{2}{15} miles per minute

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Answer:

  b, e

Step-by-step explanation:

a, b) ordinarily, we claim the variable on the vertical axis is a function of the variable on the horizontal axis. By that claim, <em>temperature is a function of time</em>.

If the graph passed the horizontal line test (a horizontal line intersects in one place), then we could also say time is a function of temperature. The graph does not pass that test, so we cannot make that claim.

c) The graph has negative slope between 4:00 and 5:00. Temperature is decreasing in that interval, not increasing.

d) The graph has two intervals in which it is horizontal: 5:00-9:00 and 11:00-12:00. In those intervals it is neither increasing nor decreasing.

e) The graph shows a minimum in the interval 11:00-12:00. <em>The lowest temperature first occurs at 11:00</em>.

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2 years ago
3) Find the length of a rectangular lot with a perimeter of 92 m if the length is 8 m more than
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Answer:

26 m

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Perimeter = 92 m

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Width: 20 m

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<h2>length=26 m</h2>
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3 years ago
Does this image show an enlargement or a reduction?
evablogger [386]

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Step-by-step explanation:

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Plz help me with this ty
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I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

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For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

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So:

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So, all together, we have:

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We have the expression:

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First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

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And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

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So, we can write the above as:

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