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3 years ago

Describe how (2^3)(2^-4) can be simplified.

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Monica [59]3 years ago

6 0

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

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The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home

JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = $\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons$

When they returned, quantity of gas in the tank = $\frac{1}{3} \times18=\frac{18}{3} =6\ gallons$

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0

3 years ago

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Serga [27]

Answer:

Yes it is my friend plz

7 0

3 years ago

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You charged 1,000 on your credit card for Christmas presents. Your credit card company charges you 26% annual interest, compound

Grace [21]

Answer:

94 months

Step-by-step explanation:

You can use the amortization formula for this.

A = P(r/12)/(1 -(1 +r/12)^(-n))

A is the monthly payment; P is the principal amount; r is the annual interest rate, and n is the number of months.

Filling in the numbers, we can solve for n:

25 = 1000(0.26/12)/(1 -(1+0.26/12)^-n)

Multiplying by the denominator and dividing by 25, we have ...

1 -(1+0.26/12)^-n = 1000(0.26)/(12(25)) = 13/15

Subtracting 13/15 and adding (1+0.26/12)^-n gives ...

2/15 = (1+0.26/12)^-n

Taking logs turns this into a linear equation:

log(2/15) = -n·log(1+0.26/12)

n = log(15/2)/log(1+0.26/12) = 93.999

It would take 94 months, or 7 years 10 months, to pay off the balance.

_____

Your total of payments would be $2,350.

3 0

3 years ago

Sellus Evaluate the expression when m=25. m + 2(m-5) = [?]

stiv31 [10]

Answer:

Step-by-step explanation:

So we have the expression:

$m+2(m-5)$

And we want to evaluate it for m=25.

So, substitute 25 for m:

$=(25)+2((25)-5)$

Subtract:

$=25+2(20)$

Multiply:

$=25+40$

Add:

$=65$

So, our answer is 65.

And we're done!

7 0

3 years ago

I need help on all of #1

Dimas [21]

For C at 7pm they sold most and at 6 am they sold less

8 0

3 years ago

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