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Mamont248 [21]
3 years ago
11

10^8/10^4 Simplify the expression. Write your answer as a power.

Mathematics
1 answer:
Andru [333]3 years ago
7 0
<h3>Answer:   10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

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An area of 18 square feet that is 6 feet long and 3 feet wide. A rug covered 1/3 square foot tiles. How many tiles will the rug
Shkiper50 [21]

Answer:

The number of tiles the rug will cover is 54 tiles

Step-by-step explanation:

Here we have,

Total area covered by the rug = 18 ft²

Size of one tile = 1/3 ft²

Therefore the number of tiles that can fit into the the area is given by;

Total area of the rug ÷ Area of one tile

= 18 ft² ÷ 1/3 ft²

Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows

= 18 × 3/1 ft²/ft² = 54 tiles

The number of tiles the rug will cover = 54 tiles.

5 0
2 years ago
Read 2 more answers
Write 47/80 as a percentage and round your answer to the nearest tenth of a percent
Amanda [17]

Answer:

6%

Step-by-step explanation:

57 divided by 80 = 0.5875

.5875 rounded to the nearest tenth is 6%

8 0
3 years ago
One of your aid workers stole doxycycline hyclate tablets. you determine that 7/10ths of the latest shipment of 17,250 tablets w
Serggg [28]
Is 7/10 was taken then there 3/10 left so .3*17250=5175 tablets left
4 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLIEST
Molodets [167]

Answer:

16

Step-by-step explanation:

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8 0
3 years ago
Hi guys can you help me factor these two equations?
mojhsa [17]
Problem # 1

Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)

There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
 (5x     ) (x      )  = 5x^2 +

2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3

3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.

For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6.  This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.

As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.

-------------------------------------------------------------------------------------------------
Problem # 2

Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
                4x^2 (x  - 3) (x - 4)

To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x    )(x    ) and guessing for which numbers will add to -7x and multiply to 12
6 0
2 years ago
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