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3 years ago

Is the expression 3^(2 )* 3^(-3) equivalent to 3^(3 )* 3^(-2)? Explain.

Mathematics

1 answer:

kvasek [131]3 years ago

3 0

Answer:

Step-by-step explanation:

${3}^{2} \times {3}^{( - 3)} = {3}^{2 - 3} = {3}^{( - 1)} = \frac{1}{3} \\ {3}^{3} \times {3}^{? - ( - 2)} = {3}^{3 - 2} = {3}^{1} = 3$

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Find g(1) if g(x) = x^2 + 1. 2 3 4 Answer is NOT 3.

kirza4 [7]

2 because 1x1=1 and 1+1=2

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4 years ago

Read 2 more answers

What is the distance between the walls?

icang [17]

If you flip the 30-60-90 triangles so they look similar, and find the difference between the length of 60, and the length of 40.

40÷60 =.6666 etc

You can prove this by plugging in
60 •.66666 = 39.9999 or about 40.

The triangle I started with had a length of 60, so just used the tangent of 60° to find the adjacent.
Since we know the relationship of the triangles,
Multiply your answer, 103.923 •.666666
Which equals 69.2819
69.2819 is the length of the 40 triangle.

Add them together, and you get 173.2049.

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3 years ago

Sketch the absolute value function f(x) = -|-2x - 3| + 5. and way to find domain and range

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3 years ago

The mean cost for each item in his bag was $3.05. He bought a total of 8 items, and the prices of 7 of those items are listed be

Anna007 [38]

You know the mean cost is calculated from ...

... (mean cost) = (total cost)/(number of items)

You are given the mean cost and the number of items, so you can find the total cost for the 8 items as ...

... (mean cost)×(number of items) = (total cost)

... 8 × $3.05 = (total cost) = $24.40

You are given the costs of 7 of the items so ...

... (total cost) = (8th item cost) + (total cost of 7 items)

Then we can find the (8th item cost) as ...

... (8th item cost) = (total cost) - (total cost of 7 items)

Adding up the given cost of the 7 items, we get ...

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The price of the 8th item in the bag was $3.83.

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4 years ago

At the end of October, Jane's credit card balance was $1,200. On November 16, she made $500 of purchases. On November 26, she pa

Elodia [21]

Answer:

Average day end balance using weighted average = $1,316.667

Average day end balance using simple average = $1,050

Step-by-step explanation:

Provided opening balance = $1,200

During the month addition in such balance = $500

New balance as on 16 November = $1,200 + $500 = $1,700

Further by the end of month of November balance after payment = $1,700 - $800

= $900

Thus, opening balance = $1,200

Closing = $900

Simple average = $\frac{1,200 + 9,00}{2} = 1,050$

Day end balance = $1,050

For this weighted average can be done

First 15 days balance = $1,200 as no transaction was done.

From 16 to 25 November balance increased by $500 = $1,700 for 10 days

Remaining days = 5 days = $1,700 - $800 paid = $900

Using weighted average we have

$\frac{(1,200 \times 15) + (1,700 \times 10) + (900 \times 5)}{30} = \frac{39,500}{30} = 1,316.667$

Day end balance = $1,316.667

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4 years ago