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Irina-Kira [14]
3 years ago
5

I need help please :(

Mathematics
2 answers:
Sloan [31]3 years ago
7 0

Answer:

5^{-3} = \dfrac{1}{125}

Step-by-step explanation:

Rule of negative exponents:

a^{-n} = \dfrac{1}{a^n}

This problem:

5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125}

Naily [24]3 years ago
5 0

Answer:

\boxed{\frac{1}{125}}

Step-by-step explanation:

5^{-3}

Apply rule:

\displaystyle a^{-b}=\frac{1}{a^b}

\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}

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3 years ago
A map of the United States has a scale of 1 inches = 300 miles. The distance on the map from Boise, Idaho, to Phoenix, Arizona,
Nostrana [21]

Answer:

The distance is 750 miles.

Step-by-step explanation:

In order to find this, we create a proportion. On the left would be the scale factor. On the right would be the Idaho to Arizona distance.

1in / 300 mi = 2.5in / x mi

Now we can cross multiply to find the distance.

300 * 2.5 = 1 * x

750 mi = x

4 0
4 years ago
Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must be sell in order to earn $3000?
Karolina [17]
Use a variable to solve for this.

x * .08 = 3000

Divide by .08 on both sides.
x = 37500

We can check this by inputting 37500 for x.

37500 * .08 = 3000
3000 = 3000

Kenya Kon must earn $37500 to earn $3000.
8 0
3 years ago
Read 2 more answers
RIGHT ANSWER WILL RECEIVE BRANLIEST, FIVE STARS, AND A THANKS
LekaFEV [45]

Answer:

See below.

Step-by-step explanation:

An outlier can affect the mean by a lot.  For example, if my neighbor moves out and Bill Gates moves in (he would be a <u>super</u> outlier!), the mean annual income would increase enormously.

The median, on the other hand, would not change at all.  The income in the middle is still the income in the middle; Gates' income would not budge the median.

8 0
3 years ago
The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find t
8090 [49]

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

a.) T= (square root of 11) k

substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

T= 3.4 seconds

b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

7 0
3 years ago
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