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Elan Coil [88]
4 years ago
11

Ten students ordered eight pizzas

Mathematics
1 answer:
chubhunter [2.5K]4 years ago
4 0
11244444445455438977%$#
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1.Simplify 5 to the 5th over 5 to the 8th.
timurjin [86]
Q1. The answer is <span>1 over 5 to the 3rd power.

</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is \frac{ 5^{5} }{ 5^{8} }
To simplify, we will use two rules: 
\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}
Therefore:
\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}
\frac{1}{5^{3}} is the same as 1 over 5 to the 3rd power.


Q2. The answer is <span>(53)−4.

The exponents are multiplied when are expressed in the form:
</span>(x^{a}) ^{b}= x^{a*b}
So, (5^{3} )^{-4}=5^{3*(-4)}=5^{-12}

Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}
3 to the 7th over 3 to the 15th is \frac{ 3^{7} }{3^{15}} =3^{7-15}
<span>45 ⋅ 42 is </span>4^{5}* 4^{2} =  4^{5+2}
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3 years ago
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Whoever guesses not only the song but the singer will get brainliest if there are any absurd answers they will be deleted.Which
mylen [45]

Answer: It’s ‘Cause I Am

Song by Callista Clark

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2 years ago
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Can someone answer this<br> just tell the option
MArishka [77]

Answer:

11 \geqslant x

11 a

6 0
4 years ago
Rectangle EFGH is similar to rectangle JKLM. Which proportion can be used to
Dominik [7]

*See attached picture for the diagrams being referred to

Answer:

C. ⁵/12= ²/x

Step-by-step Explanation:

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

⁵/12= ²/x

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3 years ago
An investment of $250 pays 11% annual interest, compounded quarterly. What is the interest earned in 10 years?
lions [1.4K]
<span>The interest earned in 10 years is B. $739.97.</span>
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