A composite figure is made up of one simple figure. True or False

Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: $(a^m)^n = a^m^n$

So plug the numbers in the property: $(17^{6}) ^3$ = $17^1^8$

Product Property: $(a^m)(a^n) = a^m^+^n$

We plug the equation in with $(17^{6}) ^3$ turned into $17^1^8$ ---

$(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9$

So the answer is $17^9$ , which is D

I hope this helps!
Please give Brainliest!

Have a great day!

7 0

1 year ago

Read 2 more answers

Amy opened a savings account with $1750 she received for graduation. The account pays 4.3% simple interest. What is the balance

Cerrena [4.2K]

Given:

The principal amount that Amy opened her savings account with is $1750.
The rate of simple interest compounded annually is 4.3%.
The time period for which we calculate the new balance is 6 months.

To Find:

The balance after 6 months.

Answer:

The balance after 6 months will be $1787.625

Step-by-step explanation:

The principal amount that Amy opened her savings account with is $1750. We can denote this by P.

The rate of simple interest compounded annually is 4.3% which we may denote by R.

The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).

The amount of money accrued from the interest can be calculated by the formula

$\frac{PRT}{100}$

Putting in the values given in the question, we have

$\frac{(1750)(4.3)(0.5)}{100} = 37.625$

The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.

Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.

4 0

2 years ago

The mean absolute deviation,like where do I take it from?

timofeeve [1]

So Mean Absolute Deviation or MAD for short is the Mean of how far each digit is from the Mean. So first find the mean, then for each number so let's say the mean is 3 and the numbers are 2, 4, 3. So 3-2=1, 4-3=1, 3-3=0. So you have 1, 1, 0. Find the mean of that 1+1+0=2/3 so the MAD is 2/3.

So just follow my steps
1. Find the mean
2. Find the difference from the mean of each number
3. Find the mean of step 2
4. Step 3 is your answer

5 0

2 years ago

The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent ov

irinina [24]

Answer:

1 year= 12 months

1 months rent=1783

1783x12=21396

15 years = 180 months

the equation would be

1783x180=320940

or