Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
34.3 Km /h was her average velocity in km/h.
What is average velocity?
- The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity.
- Based on the direction of the displacement, the average velocity might either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity.
- The displacement of a body, or the shortest distance it must go during a trip, is calculated as the displacement multiplied by the time interval over which it covered that distance.
average velocity = Displacement / time taken
V = d/ l
V = 10.3 Km/0.300m = 34.3Km
Learn more about average velocity
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Answer:
A. x = 3.03
B. x = 4/3
Step-by-step explanation:
A. 2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:
(x - 0.03) = 3. Removing the parentheses, we get: x = -0.03 = 3, or x = 3.03.
B. The distributive property is the faster method here. We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:
3(4 + x) = 16
and then carry out the indicated multiplication: 12 + 3x = 16, or
3x = 4, or x = 4/3
Pemdas, ok first 17 plus 8 is 15, 6 times 2 is 12 , so 15 minus 12 is 3. answer is 3
