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AleksAgata [21]
2 years ago
14

Which expressions are equivalent to the given expression. y^-8y^3x^0x^-2​

Mathematics
1 answer:
vesna_86 [32]2 years ago
8 0

y^{-8} y^3 x^0 x^{-2} is equivalent to y ^{-5} x ^{-2}\\.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

y^{-8} y^3 x^0 x^{-2}

Simplify

y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\

Hence, y^{-8} y^3 x^0 x^{-2} is equivalent to y ^{-5} x ^{-2}\\.

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

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In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod
ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

\frac{dp}{dt}=\frac{0.7}{100}P

\int \frac{dP}{P}=0.007\int dt

lnP=0.007t+C

Using the formula

\int \frac{dx}{x}=ln x+C

P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}

e^C=A

Initially when t=0,P=323 million

Substitute the values

323 million=A

P=323e^{0.007t}

Now, substitute P=400 million

400=323e^{0.007t}

ln\frac{400}{323}=0.007t

ln(1.2384)=0.007t

t=\frac{ln(1.2384}{0.007}

t=30.5\approx 31 Years

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0
3 years ago
The area of a square is 49 square meters. How long is each side?
Artemon [7]

A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).

That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².

Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:

x² = 49

Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:

√x² = √49

The √ and the ² cancel out, so you're just left with x:

x = √49

The square root of 49 is just 7, so we can replace √49 with 7, and we get:

x = 7

Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.

Therefore, your final answer is 7 metres :)

3 0
3 years ago
Kristen reads 11 pages per hour. In all, how many hours of reading will Kristen have to do
soldier1979 [14.2K]

Answer:

4

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

6 0
3 years ago
I need help! Will mark brainliest!
Musya8 [376]

Answer:

16) 6%

17) 4 years

18) 2 years

Step-by-step explanation:

The formula for these questions is I = PRT

16) 27 = 900 (R) (0.5)

Notice how I used 0.5 instead of 6 for the T. T has to be measured in years, not months and 6 months is half a year.

R = 0.06 = 6 %

17) 480 = 2000 (0.06) (T)

T = 4 years

18) 1080 = 4500 (0.12) (T)

T = 2 years

4 0
3 years ago
What is the relationship between angle 8 and angle 4
bulgar [2K]

Answer:

Corresponding angles.

4 0
3 years ago
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