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Montano1993 [528]
3 years ago
5

What is the result if you divide –12x8y8 by 3x4y2?

Mathematics
2 answers:
krok68 [10]3 years ago
7 0
<span>When dividing two numbers with the same base but with different powers, you subtract the second power from the first and keep the base. So in our case, -12*x^8*y^8 / 3*x^4*y^2 = -4*x^4*y^6. The correct answer is d.</span>
andrey2020 [161]3 years ago
7 0

Answer:

option d is correct

-4x^4y^6

Step-by-step explanation:

Using exponent rules:

\frac{a^n}{a^m} = a^{n-m}

Given that:

If you divide -12x^8y^8 by 3x^4y^2

⇒\frac{-12x^8y^8}{3x^4y^2}

⇒\frac{-4x^8y^8}{x^4y^2}

Using exponent rules, we have;

⇒-4x^{8-4}y^{8-2}

⇒-4x^4y^6

Therefore, If you divide -12x^8y^8 by 3x^4y^2 we get; -4x^4y^6

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Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

 

Initial temperature (x = 0):

 

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

 

After 18 minutes (x = 18):

 

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C

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3 years ago
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

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Then

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The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

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Step-by-step explanation:

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