If the cup = S + 3
and the
saucer = S
then
(S + 3) + S = 12
2s + 3 = 12
2s = 9
s = 4.50
So by itself the saucer costs $4.50. To find the cost of the cup look to the beginning of the problem where we learned that
Cup = S + 3
cup = 4.50 + 3
cup = 7.50
So the saucer is $4.50 and the cup is $7.50...
4.50 + 7.50 = $12.00
It checks!
Let's take the derivative of each term one by 1
x^2
Apply the power rule for derivatives.
2x^(2-1) = 2x
You get 2x.
2x
Apply the power rule (x^1) and the constant multiple rule.
2 * x^(1-1) = 2 * x^0 = 2
You get 2.
-4
The derivative of a constant is 0.
Put that together and you get 2x + 2
Have an awesome day! :)
121,940
My answer was rounded to the nearest thousandth
Answer:
84 beads
Step-by-step explanation:
She had 98 beads and lost all but fourteen. So it would be 98 - 14 which would get you 84 beads that the girl has lost
For this case we have the following equation:
Q = Av
Where the area is given by:
A = pi * r ^ 2
A = pi * (d / 2) ^ 2
A = (pi / 4) * d ^ 2
Substituting we have:
Q = ((pi / 4) * d ^ 2) v
From here, we clear the diameter:
d = root ((4 / pi) * (Q / v))
Substituting values we have:
d = root ((4 / pi) * (50/600))
d = 0.36 feet
Answer:
The diameter of a pipe that allows a maximum flow of 50ft ^ 3 / min of water flowing at a velocity of 600ft / min is:
d = 0.36 feet
