Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
$300
Step-by-step explanation:
(5000)(2)(3/100)
=300
-0.6875 is the answer to number 5
Answer: There were 40 euros in the drawer at the beginning.
Step-by-step explanation:
When we subtract 6 from 16, we get 10 more ice-creams were sold.
Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.
i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros
Selling price of 6 ice-creams = 6 x 5 = 30 euros
Money in the drawer at the beginning = 70-30 = 40 euros
Hence, there were 40 euros in the drawer at the beginning.
Answer = 2.00
Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution
The formula for Z score is Z = [X - mean ]./ (standard deviation)
Here X = 930.00; mean = 900.00; and standard deviation = 15.00
Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00
Therefore, your answer is 2.00
Hope I helped :)