How many pounds is 2.7 kilograms?

A football is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t2 + 64t where t equals the ti

Scrat [10]

H(t) = -16(t^2) + 64t

roots:

0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4

The symmetry axis is at the middle of the two roots: t = (0+4)/2

That time (t=2) is what it takes the object to reach the maximum height.

Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

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3 years ago

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Sam can mow a lawn in 40 minutes. Vanessa can mow the same lawn in 60 minutes. How long does it take for both Sam and Vanessa to

xxMikexx [17]

Answer:

As a reduced fraction: $\frac{120}{5}$ minutes, which is 24 minutes

Step-by-step explanation:

Sam's speed is 1 lawn in 40 minutes. Vanessa's speed is 1 lawn in 60 minutes. If they both work together, the total speed is:

$\frac{1}{40}+\frac{1}{60}=\frac{1(3)}{40(3)}+\frac{1(2)}{60(2)}=\frac{3}{120}+\frac{2}{120}=\frac{5}{120}$

Which means that the total speed would be 5 lawns in 120 minutes. To find the time it would take to mow one lawn at that speed, we need to invert that speed so we get minutes per lawn:

$\frac{120}{5}=24minutes$