Answer:
1 3/4 miles in 1/4 hour.
Step-by-step explanation:
Write and solve an equation of ratios:
x (1/4) hr
--------- = ------------
14 mi 2 hr
Cross multiplying, we get 2x = (1/4)(14), or
x = (1/4)(7), or x = 7/4
Steve can jog 7/4 miles in 1/4 hour. That's 1 3/4 miles in 1/4 hour.
Answer: ![\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Step-by-step explanation:
![\sqrt[4]{\frac{16}[81}} \sqrt[4]{\frac{x^{11}y^{8}}{x^{7}y^{6}}}\\\\=\frac{2}{3} \sqrt[4]{x^{4}y^{2}}\\\\=\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B16%7D%5B81%7D%7D%20%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%5E%7B11%7Dy%5E%7B8%7D%7D%7Bx%5E%7B7%7Dy%5E%7B6%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%5B4%5D%7Bx%5E%7B4%7Dy%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
So you you are trying to find the area of sphere so you would use this formula
A=4•3.14•r^2
And you already know that the radius is 6 so you would go ahead and plug in the numbers
A=4•3.14•4^2
4^2 is 16 so your final equation would be
A=4•3.14•16
And your answer is
=452.39
