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hodyreva [135]
3 years ago
11

Which expression is equivalent to (125^2/125^4/3)​

Mathematics
1 answer:
mariarad [96]3 years ago
6 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{125^2}{125^{\frac{4}{3}}}\implies \cfrac{(5^3)^2}{(5^3)^{\frac{4}{3}}}\implies \cfrac{5^{3\cdot 2}}{5^{3\cdot \frac{4}{3}}}\implies \cfrac{5^6}{5^4}\\\\\\ 5^6\cdot 5^{-4}\implies 5^{6-4}\implies 5^2\implies 25

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Answer:

the slope is -4/3

Step-by-step explanation:

you can either use the graph or algebra to find the slope.

to use the graph, simply count how many spaces up/down and to the left/right that you go.

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4 0
3 years ago
3÷3912.00 carry to the hundreth
irga5000 [103]
7.67 is your answer. hope this helps, let me know if you need more help
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3 years ago
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If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

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r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

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t= 2 years

A= 600(1+0.03*2)

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2. Given data

P= $600

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A= 600(1+0.04/24)^24*2

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7 0
3 years ago
Find the volume of the solid. Use 3.14 for π.​
marta [7]

Answer:

<h2><em>vol= 10366.3175in²</em></h2>

<em></em>

Step-by-step explanation:

So this is a cylinder

<h2>formula: π r²h</h2>

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

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<h2><em>10366.3175in²</em></h2>

<em></em>

<em>i think it is correct </em>

<em>.</em>

<em>stay safe</em>

<em>.</em>

<em>have a nice TIME</em>

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2 years ago
Pls help!
Amiraneli [1.4K]

Answer:

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Step-by-step explanation:

you multiply

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