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grandymaker [24]
3 years ago
15

Simplify the expression using properties of exponents. -16a-3b-5 2a-4b2

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

a^n\cdot a^m=a^{n+m}\\\\-16a^{-3}b^{-5}\cdot2a^{-4}b^2=(-16\cdot2)(a^{-3}a^{-4})(b^{-5}b^2})\\\\=-32a^{-3+(-4)}b^{-5+2}=\boxed{-32a^{-7}b^{-3}}

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Pieces of Mail. The number of pieces of mail
Zina [86]

Answer:

20.8%

Step-by-step explanation:

The number of the pieces of mail handled by the U.S postal service decreased from 212,000,000,000 to 168,000,000

Therefore the percentage decrease can be calculated as follows

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= 44,000,000,000/212,000,000,000 × 100

= 0.2075 × 100

= 20.8 %

Hence the percentage decrease is 20.8%

5 0
3 years ago
If x-1/x=5, find the value of x^3-1/x^3
Alexxx [7]
65 is the answer. Solve the first equation and then plug in.

7 0
3 years ago
HELP ME PLEASE. Anson borrows some money from a bank at a rate of 10% simple interest for 1 year. Jenny borrows $1000 more then
kondaur [170]
$5000 is the correct answer.

The formula for simple interest is I=prt.  Anson gets 10% interest; 10% = 10/100 = 0.1.  This gives us
I=p(0.1)(1) = 0.1p.

Jenny borrows 1000 more than Anson, so her principal is p+1000.  Her rate is 8%; 8%=8/100 = 0.08.  She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40

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0.1p+0.04p+40 = 740

Combine like terms:
0.14p+40 = 740

Subtract 40 from both sides:
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Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
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6 0
3 years ago
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WINSTONCH [101]

Answer:

x = 2, y = 3

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x = 5 - y → (2)

Substitute x = 5 - y into (1)

5 - y - 3y = - 7

5 - 4y = - 7 ( subtract 5 from both sides )

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Substitute y = 3 into (2)

x = 5 - 3 = 2

solution is (2, 3 )

5 0
2 years ago
How can you isolate the term -5m
AleksandrR [38]

Answer:

subtract 9 on both sides.

Step-by-step explanation:

-5m+9=12 --> -5m=7

8 0
2 years ago
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