Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
X ·( x + 1 ) = 600
x² + x = 600
x² + x - 600 = 0
x = ( - 1 - 49 ) / 2 = - 50 : 2 = - 25
x = - 25, x + 1 = - 24
( - 25 ) · ( - 24 ) = 600
Answer:
C ) - 25
Answer:
4. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters.
Step-by-step explanation:
This question wants us to state the claim and the hypothesis.
This researchers claim can be found in the first sentence of this question.
Claim: post lunch nap decreases the time it takes to run for 20 meters.
The correct answer option for the claim is the 4th answer option. And it means that sleeping after lunch reduces the time it takes males to run in a 20m race.
B. Hypothesis
H0: Ud <= 0
H1: Ud > 0
d = is the race time without a nap - race time with a nap
What kind of question is that
Answer: 35
Step-by-step explanation:
-3150M-65b+155b
-3150m+92b
3150/92= 34.23913043 so about 35
