The problem you have written
![\sqrt[5]{x^{10}}/2](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%7D%2F2)
simplifies to
_____
If you intend
![\sqrt[5]{x^{10}/2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%2F2%7D)
then you can multiply by the appropriate fraction to get your first answer choice.
![\displaystyle\sqrt[5]{\frac{x^{10}}{2}}=\frac{\sqrt[5]{x^{10}}}{\sqrt[5]{2}}\cdot\frac{\sqrt[5]{2^4}}{\sqrt[5]{2^4}}\\\\=\frac{x^{2}\sqrt[5]{16}}{\sqrt[5]{2^{5}}}=\bf{\frac{x^{2}\sqrt[5]{16}}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%5E%7B10%7D%7D%7B2%7D%7D%3D%5Cfrac%7B%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%7D%7D%7B%5Csqrt%5B5%5D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csqrt%5B5%5D%7B2%5E4%7D%7D%7B%5Csqrt%5B5%5D%7B2%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%5E%7B2%7D%5Csqrt%5B5%5D%7B16%7D%7D%7B%5Csqrt%5B5%5D%7B2%5E%7B5%7D%7D%7D%3D%5Cbf%7B%5Cfrac%7Bx%5E%7B2%7D%5Csqrt%5B5%5D%7B16%7D%7D%7B2%7D%7D)
<span>f(x) = one eighth (x - 2)^2 - 1
Since a parabola is the curve such that all points on the curve have the same distance from the directrix as the distance from the point to the focus.With that in mind, we can quickly determine 3 points on the parabola. The 1st point will be midway between the focus and the directrix, So:
(2, (1 + -3)/2) = (2, -2/2) = (2,-1).
The other 2 points will have the same y-coordinate as the focus, but let offset on the x-axis by the distance from the focus to the directrix. Since the distance is (1 - -3) = 4, that means the other 2 points will be (2 - 4, 1) and (2 + 4, 1) which are (-2, 1) and (6, 1). The closest point to the focus will have the same x-coordinate as the focus, so the term will be (x-2)^2. This eliminates the functions "f(x) = -one eighth (x + 2)^2 - 1" and "f(x) = -one half (x + 2)^2 - 1" from consideration since their x term is incorrect, leaving only "f(x) = one eighth (x - 2)^2 - 1" and "f(x) = one half (x - 2)^2 + 1" as possible choices. Let's plug in the value 6 for x and see what y value we get from squaring (x-2)^2. So:
(x-2)^2
(6-2)^2 = 4^2 = 16
Now which option is equal to 1? Is it one eighth of 16 minus 1, or one half of 16 plus 1?
16/8 - 1 = 2 - 1 = 1
16/2 + 1 = 8 + 1 = 9
Therefore the answer is "f(x) = one eighth (x - 2)^2 - 1"</span>
Answer: 8/12% 6/11%
Step-by-step explanation: so 4 red marbles and 8 blue marbles so in total that's 12 marbles so if you have 8 blue marbles you have a 3/4 chance of getting blue but only 1/4 chance of red
So 5 green marbles and 6 yellow marbles so in total that's 11 marbles so if you have 6 yellow marbles you have a 3/4 chance of getting yellow but only 1/4 chance of green
<h2><u>25 boys</u> is the correct answer!</h2><h3></h3><h3>5:11</h3><h3>5 + 11 = 16</h3><h3>16 x 5 = 80</h3><h3>So we now know we have to multiply by 5.</h3><h3>5 x 5 = <u>25 boys</u></h3><h3>5 x 11 = 55 girls</h3><h3>25:55 is the same as 5:11</h3><h3></h3><h3><em>Please let me know if I am wrong.</em></h3><h3 />
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,
Therefore, lateral surface area of our given container is 270 square cm.
