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Romashka [77]
3 years ago
5

Simplify the expression and write without negative exponents

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

( \frac{ - 5 {x}^{2} {y}^{ - 1}  }{1} ) {}^{4}  =  (\frac{ - 5 {x}^{2} }{y} ) {}^{4}  =  \frac{ - 625 {x}^{6} }{ {y}^{4} }
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Takumi started studying how the number of branches on his tree changes over time.
Musya8 [376]

Answer:

Grows, Factor of 2

Step-by-step explanation:

The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total  number of its branches, N(t), is modeled by the function:

N(t) = 63. 2^t

For illustration, let us take the growth for the first three years after he started studying the number of branches.

When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2

We notice that for each subsequent year, the number of branches doubles.

Therefore:

Every year, the number of branches  <u>grows</u> by a factor of <u>2.</u>

8 0
4 years ago
Alice has two flying disks. One is 12 cm in diameter and the other is 24 cm in diameter. What is the difference between the area
Oksi-84 [34.3K]

Answer:

432π cm² or 1356.48 cm²

Step-by-step explanation:

The area of a circle is πr²

The area of the disks are 144π and 576π.

576π-144π = 432π

432π ≈ 1356.48 cm²

8 0
3 years ago
Find the value of x<br> −8(x−6)=32
RUDIKE [14]

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

4 0
3 years ago
Read 2 more answers
What is the probability of sampling 22 men from a random sample of 30.
Naddika [18.5K]

Answer:

11/15

Step-by-step explanation:

22/30 which can be simplified to 11/15

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2 years ago
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20% is your percent m of error in this problem
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