Answer:
calories
Step-by-step explanation:
Given: The racer moves at 
miles per hour expends energy at a rate of 
calories per hour.
To find: Energy in calories, required to complete a marathon race 
miles at this pace.
Solution: We have,
The racer moves at miles per hour.
The racer expends energy at a rate of calories per hour.
So, energy expended while moving miles 
calories.
Now, energy expended while moving 
mile 
calories.
So, energy expended while moving miles 
calories.
Hence, calories of energy is required to complete a marathon race miles at this pace.
Answer:
Step-by-step explanation:
Yes
Answer:
x = -5
y = 6
Step-by-step explanation:
3x + 7y = 27 --------------(I)
-3x + y = 21 -----------(II)
Add equation (I) & (II) and so x will be eliminated and we can find the value of y.
(I) 3x + 7y = 27
(II) <u> -3x + y = 21 </u> {add}
8y = 48
y = 48/8
y = 6
Plugin y = 6 in equation (I)
3x +7*6 = 27
3x + 42 = 27
3x = 27 - 42
3x = -15
x = -15/3
x = -5
To find the surface area of the cube using the formula, you would substitute in 2 1/2 for the length of the side.
SA = 6 x 2.5 x 2.5
SA = 37.5 ft.²
You are finding the area of one face (2.5 x 2.5) and multiplying it by six because there are six groups of this.
remember that
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
also 
and 
so
first one, that one is clearly not equal since 0.25≠4
2nd one, 0.25=1/4, so 
, which matches
3rd one, ![\sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D%3D%5Csqrt%5B3%5D%7B4%5E2%7D%3D4%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
, which matches
4th one ![(\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4%7D%29%5E2%3D%284%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E2%3D4%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
which matches
answer is 
