Answer:
45,796 feet squared, assuming the length of one side is 214 feet.
Step-by-step explanation:
Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>
Answer:
a) (g(x), f(u)) = ( 7*√x , e^u )
b) y ' = 3.5 * e^(7*√x) / √x
Step-by-step explanation:
Given:
- The given function:
y = e^(7*√x)
Find:
- Express the given function as a composite of f(g(x)). Where, u = g(x) and y = f(u).
- Express the derivative of y, y'?
Solution:
- We will assume the exponent of the natural log to be the u. So u is:
u = g(x) = 7*√x
- Then y is a function of u as follows:
y = f(u) = e^u
- The composite function is as follows:
(g(x), f(u)) = ( 7*√x , e^u )
- The derivative of y is such that:
y = f(g(x))
y' = f' (g(x) ) * g'(x)
y' = f'(u) * g'(x)
y' = e^u* 3.5 / √x
- Hence,
y ' = 3.5 * e^(7*√x) / √x
Answer:
8 minutes
Step-by-step explanation:
Speed or Rate = Distance / time
Distance = Speed × time
Nicholas's sand castle is 30 cm tall and he is adding sand at a rate of 12 cm per minute.
Nicholas = Nina
30cm + (12cm/min)x
= 30 + 12x
Nina's sand castle is 78 cm tall and she is adding more sand to it at a rate of 6 cm per minute.
78cm + (6cm/min)x
78 + 6x
30 + 12x = 78 + 6x
12x - 6x = 78 - 30
6x = 48
x = 48/6
x = 8 minutes
Therefore, after 8 minutes, Nina and Nicholas's sand castles be the same height.
Its A. 16(pie)x^2+80(pie)x +100(pie) because,<span>S=4(pie)r^2 for the surface area of a sphere. </span>
