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2 years ago

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Do the following: Ayie says that 7-³ is the same as – 7³. Write an explanation of how Ayie should interpret 7-³, then show her h

ow each expression results in a different value.

1 answer:

Scrat [10]2 years ago

3 0

7^(-3) = 1/7^3 = 1/343

- 7^3 = - (7^3) = -343

As can be seen, the results are very different.

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Prove that: 5^31–5^29 is divisible by 100.

ANEK [815]

Answer:

See explanation

Step-by-step explanation:

Consider the expression

$5^{31}-5^{29}$

First, factor it:

$5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}$

Note that

$100=25\cdot 4$

Then

$5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}$

This shows that number 100 is a factor of the expression $5^{31}-5^{29}$ and, therefore, this expression is divisible by 100.

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3 years ago

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest

Anit [1.1K]

Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829<span>^n]
</span>
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

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ki77a [65]

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