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4 years ago

Multiply or divide as indicated. Simplify your answer, if possible. (Do not express answer in exponential form.) 10/ 10^-2

Mathematics

2 answers:

irinina [24]4 years ago

7 0

Answer:

The simplified form of the provided expression is 1000.

Step-by-step explanation:

Consider the provided expression.

$\frac{10}{10^{-2}}$

Now, use the property of exponent: $\frac{a^m}{a^n}=a^{m-n}$

Use the above property to solve the provided expression.

$\frac{10}{10^{-2}}$

$10^{1-(-2)}$

$10^{1+2}$

$10^3$

$1000$

Thus, the simplified form of the provided expression is 1000.

Elenna [48]4 years ago

5 0

The answer is 10^3. 10^3 is 1000.

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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

3 years ago

Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got

ss7ja [257]

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

8 0

3 years ago

A value of a car is $24,000. You pay it off by making payments of $6200 a year. Write and equation for when the car would be pay

Damm [24]

Answer: 24,000 / 6,200 = x years

Step-by-step explanation:

The car is valued at $24,000.

Yearly payments are $6,200.

The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.

You can do that by dividing $24,000 by $6,200.

Assume the number of years for the car to be paid off is x:

24,000 / 6,200 = x years

When solved:

= 24,000 / 6,200

= 3.87 years

4 0

3 years ago

How to find circumference of circle? What is formula?

Lapatulllka [165]

C= pi multiplied by diameter

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3 years ago

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What is the value of the expression 18-2×(4+3)

Vika [28.1K]

The value would be 4.

First, you have to do 4 + 3 because it's in parenteces. This equals 7
Secondly, you have to do 2 x 7, which is 14.
Last you have to do 18 - 14 which is 4.

3 0

4 years ago

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