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chubhunter [2.5K]
2 years ago
13

Write the missing exponent. 1/169 = (1/13)

Mathematics
2 answers:
sineoko [7]2 years ago
6 0
Answer is 2 because 13 times 13 is 169
slavikrds [6]2 years ago
3 0

Answer:

\frac{1^2}{13^2}=(\frac{1}{13})^{2}

Step-by-step explanation:

We have been given an equation \frac{1}{169}=(\frac{1}{13})^{*}. We are asked to write the missing exponent for our given equation.

We can see that 169 is square of 13, so we can write left side of our equation as:

\frac{1}{13^2}=(\frac{1}{13})^{*}

We can raise 1 to any power and answer will be same.

Raising 1 to 2nd power, we will get:

\frac{1^2}{13^2}=(\frac{1}{13})^{*}

Since both numerator and denominator is raised to 2nd power, so we can raise (\frac{1}{13}) to 2nd power as:

\frac{1^2}{13^2}=(\frac{1}{13})^{2}

Therefore, our missing exponent is 2.

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Step-by-step explanation:

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3 years ago
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Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

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a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

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From

a + b = -0.5, we have;

1 + b = -0.5 = 0

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The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0
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your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac
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<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

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3=x/9 (three equals x divided by nine)
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