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3 years ago

Rewrite 1/100,000,000 as a power of 10

Mathematics

2 answers:

Alika [10]3 years ago

4 0

Answer:

$10^{-8}$

Step-by-step explanation:

$\frac{1}{100,000,000}$

we rewrite 100,000,000 in power of ten.

We run the comma to the right and the power is positive

$100,000,000= 10^8$

When we have a power in the denominator of a fraction it goes to the numerator with the opposite sign

$\frac{1}{100,000,000}= \frac{1}{10^8}\\\frac{1}{10^8}=10^{-8}$

yarga [219]3 years ago

3 0

1/100,000,000 , note that 100,000,000 = 10⁸ , then:

1/100,000,000 = 1/10⁸
Remember that 1/aⁿ = a⁻ⁿ

Hence 1/100,000,000 = 1/10⁸ = 10⁻⁸

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3 years ago

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Please help me and type out the answer

Orlov [11]

Answer:

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Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

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2 years ago

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Write a quadratic function in vertex form whose graph has the vertex (-3,5) and passes through the point (0,-14)

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Answer:

f(x) = -19/9(x + 3)² + 5

Step-by-step explanation:

Given the vertex, (-3, 5) and the point, (0, 14):

Use the following quadratic equation formula in vertex form:

f(x) = a(x - h)² + k

where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the graph wide or narrow.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Plug in the values of the vertex, (-3, 5) and the given point, (0, 14) to solve for a:

f(x) = a(x - h)² + k

14 = a(0 + 3)² + 5

14 = a(3)² + 5

14 = a(9) + 5

Subtract 5 from both sides:

-14 - 5 = 9a

-19 = 9a

Divide both sides by 9 to solve for a:

-19/9 = 9a/9

-19/9 = a

Therefore, the quadratic function in vertex form is:

f(x) = -19/9(x + 3)² + 5

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2 years ago

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3 years ago

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2 years ago

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