Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
Answer:
The diameter is equal to the circumference divided by the number pi
Step-by-step explanation:
we know that
The circumference of the circular walkway is equal to
where
D is the diameter
we have
substitute
so
Divide the diameter by the circumference
The diameter is equal to the circumference divided by the number pi
Answer:
25.64 in^2
Explanation:
<span><span>60360</span>⋅π<span>r2</span></span>, where <span>r=7</span>
<span>=<span>16</span>⋅3.14⋅<span>72</span>=<span>16</span>⋅3.14⋅49=25.64</span> in^2
Answer:
B. 64 cubic meters
Step-by-step explanation:
The first rectangle has the dimensions 7 x 2 x 4. 2 x 4 is 8, and 8 x 7 is 56. The square has the dimensions 2 x 2 x 2, which is 8. 56 + 8 is 64, so the answer is 64.
Answer: 1.25 problems/min
32 minutes --> 40 problems
1 minute --> 40/32
--> 1.25
