The volume of the tank is 1570 cubic meters
<h3>How to determine the volume</h3>
The formula for determining the volume of a cylinder is expressed as;
Volume = πr²h
Where;
- radius is 10 meters
- height is 5 meters
- pi = 3. 14
Now, let's substitute into the formula;
Volume = 3. 14 × 10² × 5
Volume = 3. 14 × 100 × 5
Multiply through
Volume = 1570 cubic meters
Thus, the volume of the tank is 1570 cubic meters
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The equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t
<h3>When the coolers would have the same amount of water?</h3>
Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t
Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t
Where t represents seconds
When they have the same amount of water, the two above equations would be equal
4.5 + 0.1t = 7 + 0.25t
Combine similar terms
7 - 4.5 = 0.1t - 0.25t
2.5 = 0.75t
Hence the equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t
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3/8 is the correct answer
Answer:
<u>x = - 7</u>
Step-by-step explanation:
Step 1:
2x + 3 = x - 4 Equation
Step 2:
x + 3 = - 4 Subtract x on both sides
Answer:
<u>x = - 7</u> Subtract 3 on both sides
Hope This Helps :)
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
