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VMariaS [17]
2 years ago
12

Describe all the positive integers that would make [(1/2|4] less than (1/2)7

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
5 0

Answer:

The only positive integers would be anything less than 3. So 1 or 2 would work

Step-by-step explanation:

If something that is already being raised to a power, gets raised to another power, those powers add up. So if it were (\frac{1}{2} ^{2} )^{2}, the exponents would add which would make it (\frac{1}{2}^{4} ).

In the case of your question, if 'n' was 2 it would be to the power of 6 making it less than to the power of. 1 could also work

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Two numbers have a difference of 24. What is the sum of their squares if it is a minimum?
seraphim [82]
Let "a" and "b" be some number where:

a - b = 24

We want to find where a^2 + b^2 is a minimum.  Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.

So we can first substitute for "a" where a = b+24

So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576

Then we take the derivative and set it equal to zero:

4b +48 = 0
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b + 12 = 0
b = -12

Thus "a" must equal 12.

So:
a = 12
b = -12

And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.

The smallest sum is 288.
3 0
3 years ago
Simplify by expressing with radicals.
slamgirl [31]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
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Answer:

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2 years ago
Olivia needs $36 to buy a coat. She has saved $8 and plans to work as a babysitter to earn $7 per hour. Which inequality shows t
Sati [7]
█ Solution <span>█

</span><span>✦ Since Olivia has already saved 8 dollars, the inequality would be addition.
</span><span>✦ The only two choices for that would be choice #1 or #2
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4 0
4 years ago
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GCF of 12x^2y^7 and 28x^3y^4
Firdavs [7]

Answer:

GCF of 12x^2y^7 and 28x^3y^4

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