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Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Hi there! The answer would be:
y=-2/5x+2.
Explanation:
We can start by plotting the given point (-5,3). From there, we can use the slope to place other points to find the y intercept. Using the slope of the graph, we can find that the line segment hits (2,0). Therefore, how answer would be: y=-2/5x+2
Hope this helps!!! :DD
mark brainliest if possible! If not, that’s okay!
Answer:
gf(5) = 289.
fg(x) = 3x^2 + 2.
Step-by-step explanation:
f(5) = 3(5) + 2 = 17
So gf(5) = 17^2 = 289.
fg(x) = 3(x^2) + 2 (we replace the x in f(x) by g(x)).
= 3x^2 + 2.
