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kykrilka [37]
3 years ago
8

What is the square root of 64

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0
Your answer is 8. 8 times 8 is 64.
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Find the values of c such that the area of the region bounded by the parabolas
evablogger [386]
For there to be a region bounded by the two parabolas, you first need to find some conditions on c. The two parabolas must intersect each other twice, so you need two solutions to

16x^2-c^2=c^2-16x^2

You have

32x^2=2c^2\implies 16x^2=c^2\implies x=\pm\dfrac{|c|}4

which means you only need to require that c\neq0. With that, the area of any such bounded region would be given by the integral

\displaystyle\int_{-4|c|}^{4|c|}\bigg((c^2-16x^2)-(16x^2-c^2)\bigg)\,\mathrm dx

since c^2-16x^2>16x^2-c^2 for all c\neq0. Now,

\displaystyle\int_{-|c|/4}^{|c|/4}\bigg((c^2-16x^2)-(16x^2-c^2)\bigg)\,\mathrm dx=2\int_0^{|c|/4}(2c^2-32x^2)\,\mathrm dx

by symmetry across the y-axis. Integrating yields

\displaystyle2\int_0^{|c|/4}(2c^2-32x^2)\,\mathrm dx=4\int_0^{|c|/4}(c^2-16x^2)\,\mathrm dx
=4\left[c^2x-\dfrac{16}3x^3\right]_{x=0}^{x=|c|/4}
=c^2|c|-\dfrac{|c|^3}3
=\dfrac{2|c|c^2}3=144
|c|c^2=216

Since 216=6^3, you have c=\pm6.
3 0
3 years ago
What is the approximate area of the figure below?
aalyn [17]
<h2>YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT </h2><h2>MARK ME BRAINLIEST AND FOLLOW ME </h2>

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3 years ago
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Share a $67.14 Tattslotto win between 3 colleagues
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Step-by-step explanation:

Divide 67.14 from 3

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What is the selling price of an item if the original cost is $784.50 and the makeup on the item is 6.5%
kolezko [41]

I think what you meant to type is "markup".  If the markup is 6.5%, we need to increase the cost by that amount.  To find 6.5% of a number we convert it to a decimal, .065, and we add 1.00, to get 1.065.  The 1, when multiplied, gives us the original amount, and the .065 gives us the additional amount.  We multiply that by 784.5.  784.5 x 1.065 = 835.49.  The other way to do it is to just multiply by 0.065, and you get 784.5 x 0.065 = 50.99, then add it to the original amount, 784.5 + 50.99 = 835.49.

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3 years ago
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3. What is the midpoint of BC? ​
Anon25 [30]

Answer:

(5,5)

Step-by-step explanation:

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