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2 years ago

Change the negative exponent to a positive exponent

Mathematics

1 answer:

Luba_88 [7]2 years ago

3 0

Answer:

$\frac{1}{ {6}^{8} }$

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

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Simplify the expression (3k / 8)^2

Ludmilka [50]

Answer:

9k/64^2 (9k^2/64^2)

Step-by-step explanation:

6 0

3 years ago

Which is an example of quantitative data?

mixer [17]

Answer:

A. the number of textbooks in a classroom

Step-by-step explanation:

quantitative data is information about quantities; that is, information that can be measured and written down with numbers.

8 0

3 years ago

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A school requires an entrance exam score that is in the top 3% of the population in order to be accepted.

____ [38]

A. 485 is %3 of 500, but the deviation sets it slightly lower than that

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2 years ago

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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

2 years ago

Katie has a coin collection she keeps 7 of the coing in the box which is only 14% of her entire collection. What is the total nu

mr Goodwill [35]

Answer:

x= 50

Step-by-step explanation:

7/x = 14/100

14x = 700

x = 50

the reason behind my calculations were to get the same ratios and because they gave us percentage and the actual number, we can set them; 14 percent 14/100, however, the 7/x is because we don't know the 100 percent of the coins which is what we look for. Therefore, you cross multiply and get x.

I hope this helped

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2 years ago

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