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vichka [17]
2 years ago
6

A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 80 feet pe

r second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16t^2+80t+9. How long will it take the rocket to reach its maximum height?
Mathematics
1 answer:
kotykmax [81]2 years ago
5 0

Answer:

Step-by-step explanation:

108

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Find the value of the y-intercept of the line whose equation is 17x-12y=-36
Nastasia [14]
-12y = -17x - 36

divide through by -12:-#y = -17/-12 x + 3
slope =  17/12
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2 years ago
A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. approximately how long is the ladder fro
maks197457 [2]
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
 
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places. 

The ladder is approximately 43.0116 feet long. 
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3 years ago
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pashok25 [27]
D. Because 5 and 5 could land on any
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2 years ago
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Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i
Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}

Find \frac{dr}{dt} when diameter D = 20 cm.

We know that the volume of a sphere is given by

V = \dfrac{4\pi}{3}r^3

Taking the time derivative of V, we get

\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}

Solving for \frac{dr}{dt}, we get

\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})

\:\:\:\:\:\:\:= 0.08\:\text{cm/min}

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2 years ago
Right answer gets brainlist
Vladimir [108]

105 i think nvm not corrupted picture

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