Answer:
Total earned= $850
Step-by-step explanation:
Giving the following information:
David makes 17 dollars in an hour and works 25 hours each week Linda makes 25 dollars in an hour and works 17 hours.
<u>To calculate the total earned, we need to use the following formula:</u>
Total earned= 17*25 + 25*17
Total earned= $850
Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below
The vertex is for , and we apply with this example where a = 1, b = -2, c=3
So this is the first graph.
Thank you
Answer:
2%
Step-by-step explanation:
You could put 7 groups of 3 or vice versa. I am not sure of any other answer.
The volume of the cylinder is:
V = pi * r ^ 2 * h = 64
The surface area is:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
We write the area as a function of r:
A (r) = 2 * pi * r ^ 2 + 2 * pi * r * (64 / (pi * r ^ 2))
Rewriting:
A (r) = 2 * pi * r ^ 2 + 2 * (64 / r)
A (r) = 2 * pi * r ^ 2 + 128 / r
Deriving:
A '(r) = 4 * pi * r - 128 / r ^ 2
We equal zero and clear r:
0 = 4 * pi * r - 128 / r ^ 2
128 / r ^ 2 = 4 * pi * r
r ^ 3 = 128 / (4 * pi)
r = (128 / (4 * pi)) ^ (1/3)
r = 2.17 cm
The height is:
h = 64 / (pi * r ^ 2)
h = 64 / (pi * (2.17) ^ 2)
h = 4.33 cm
Answer:
The dimensions giving the minimum surface area are:
r = 2.17 cm
h = 4.33 cm
