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vodka [1.7K]
3 years ago
12

Please solve these questions on the topic of exponents

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer/Step-by-step explanation:

Recall: x^{-a} = \frac{1}{x^a}

a. 4^{-3} = \frac{1}{4^3} = \frac{1}{64}

b. 13^{-2} = \frac{1}{13^2} = \frac{1}{169}

c. (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9}

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Answer:

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Step-by-step explanation:

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4 years ago
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marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t
Scorpion4ik [409]
There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster. 

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3 years ago
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luda_lava [24]

For f(x) = cos(x) we have:

  • midline = 0
  • amplitude = 1
  • period = 2π
  • graph = bottom graph on the second image.

<h3>What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>

For a general cosine function, we have:

f(x) = A*cos(kx + p) + M

Where:

  • A is the amplitude.
  • k is the frequency.
  • p is the phase.
  • M is the midline.

For the function:

f(x) = cos(x).

We can see that:

A = 1, M = 0, k = 1, p = 0.

So, the amplitude is equal to 1, and the midline is equal to zero.

Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.

Finally, we need to identify the graph of cos(x).

Notice that:

f(0) = cos(0) = 1.

So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.

If you want to learn more about cosine functions:

brainly.com/question/17075439

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8 0
2 years ago
If bacteria took 20 minutes to double from 2 to 4, how many bacteria would there be after 1 hour
iren2701 [21]
4 * 2 * 2 * 2 = 32 bacteria

Hope it helps!
3 0
3 years ago
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Kryger [21]

Answer:

.75

Step-by-step explanation:

75%

because it will give 100

6 0
3 years ago
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