Square root of-100x^4y^13

Answers

Answer 1

Answer:

Answer:

10x^2y^6√y

Step-by-step explanation:

1. First, let's factor out any perfect squares from the expression under the square root. In this case, we can factor out 100, which is a perfect square:

√(100 * x^4 * y^13)

2. Taking the square root of 100 gives us 10:

10 * √(x^4 * y^13)

3. Now, let's simplify the expression under the square root. Remember that the square root of a product is equal to the product of the square roots:

10 * √(x^4) * √(y^13)

4. The square root of x^4 is x^2:

10 * x^2 * √(y^13)

5. Finally, let's simplify the square root of y^13. Since 13 is an odd number, we can write it as the product of a perfect square and an additional factor:

10 * x^2 * √(y^12 * y)

6. The square root of y^12 is y^6:

10 * x^2 * y^6 * √y

Therefore, the simplified expression for the square root of -100x^4y^13 is:

10x^2y^6√y

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The rate traveled from Amarillo to Austin by a bus averages 65 miles per hour. The bus arrived in Austin after eight hours of travel. An automobile averages 80 miles per hour. Using the inverse variation relationship, show what the time would be for the automobile to complete the trip.

Answers

If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles

The distance from Amarillo to Austin (or vice versa) is 520 miles.

If the function to get the distance traveled by the automobile is given by:
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Then, the inverse variation relationship would be
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Since d = 520
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What would my final balance be if i put $650 in the bank for 60 months with an interest rate of 6%?

Answers

Your final balance would be $2,340.

I = Prt
Percent (6%) x rate (650) x time (60 months) = 2,340

6% = 0.06

0.06 x 60 x 650 = 2,340

Final answer:

You would end up with approximately $871.89 in your bank account after investing $650 for 60 months at an annual interest rate of 6%, if the bank compounds the interest yearly.

Explanation:

In this case, we are calculating the compound interest over a certain period. The formula for compound interest is:

P = C * (1 + r/n)^(nt)

C is the initial deposit (the principal). In your case, this is $650.
The interest rate (r) is 6%. To use this in the formula, we need to convert it to decimal form by dividing by 100, so r = 0.06.
n is the number of times that interest is compounded per unit t. Since it's not stated in the question, we'll assume it is once per year.
t is the time the money is invested for in years. Converting your 60 months to years gives t = 60/12 = 5 years.

Substitute the values into the formula:

P = $650 * (1 + 0.06/1)^(1*5)

Applying mathematics, we get an approximate final balance of $871.89

Learn more about Compound Interest here:

brainly.com/question/34614903

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Which mathematical term cannot be precisely defined?

Answers

The mathematical term that cannot be precisely defined is point.....Here you go and this is the correct answer

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Answers

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Answers

Answer:

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Answers

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