<h3>
Answer: 6 inches</h3>
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Explanation:
x = amount (in inches) the spring is stretched
y = force applied (in pounds)
y = kx for some constant k, since x and y vary directly
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Plug in the given info that x = 5 and y = 150 pair up together
Solve for k
150 = k*5
150/5 = k
k = 30
The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.
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Plug in y = 180 to solve for x
y = 30x
180 = 30x
30x = 180
x = 180/30
x = 6
The spring will be stretched 6 inches if you apply a force of 180 pounds.
The answer is B hope it helps
Answer:
Therefore the tank will be half empty after 10.10 days.
Therefore there will be 2735.53 liters water in the tank after 4 days.
Step-by-step explanation:
Given that,the square root of the volume of remaining water in the tank is proportional to the rate of water leakage.
Let V be volume of water at any instant time t.
where k is constant of proportionality.
Integrating both sides
[ C is integrating constant]
At t=0, the volume of water is 350 liters
The equation becomes
Again at t=1, the volume of water is(350-20)liters=330 liters
The equation becomes
Now when the tank is half empty,then V= (350÷2) liters = 175 liters
days
Therefore the tank will be half empty after 10.10 days.
After 4 days,
liters
Therefore there will be 2735.53 liters water in the tank after 4 days.
Answer:
96
Step-by-step explanation:
Exterior angles add up to 360
360 - 134-130 = 96
x = 96
Answer:
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Step-by-step explanation: