Answer:
Step-by-step explanation:
The given expression is
![\sqrt[3]{x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%20%7D)
There's a exponent which relates fractional exponents and roots, that is
![\sqrt[n]{x^{m} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
So, if we apply this property, the results would be
![\sqrt[3]{x^{7} }=x^{\frac{7}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%20%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)
Therefore, the right answer is the third choice
I will give the answers, you can comment any questions! Glad to help you!!!
4.) 7/8
7.) 9/10
10.)1 1/6
Hope this helps!
Comment any questions!
Answer:
a. d = 1500 - 300t. b. after 2 hours and after 4 hours
Step-by-step explanation:
a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by
d = 1500 - 300t.
b.If Jamie distance d = 900 ft, then the equation becomes,
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
The equation d = 1500 - 300t. also models his distance from the peak of the mountain if he hikes down at a constant rate of 300 ft/hr
At d = 900 ft, the equation becomes
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.
So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.
Answer:
7c + 6s - 63
Step-by-step explanation:
7c - 18 + 6s - 45
Combine like terms
7c + 6s - 63
Answer:
Step-by-step explanation:
R=50+20t, B=150-20t they will be the same height when
50+20t=150-20t
50+40t=150
40t=100
t=2.5, usingvthis value for t in either original equation will give you the height.
h=50+20(2.5)
h=100m
