John throws a ball upward at a rate of 22 meters per second from an
1 answer:
Answer:
1.5 seconds
Step-by-step explanation:
The height equation is supposed to be ...
h(t) = -16t^2 +22t +3
We want to find the positive value of t where h(t) = 0.
0 = -16t^2 +24t -2t +3 . . . . facilitate factoring
0 = -8t(2t -3) -1(2t -3) . . . . . factor by pairs
0 = -(8t +1)(2t -3) . . . . . . . . complete the factoring
The solutions to this are ...
t = -1/8, 3/2
The ball will reach the ground in 1.5 seconds.
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Answer:
6 years
Step-by-step explanation:
we know that
The equation of a exponential growth is equal to
where
y ----> is the population
x ---> is the number of years since now
a ---> is the initial value or y-intercept
r ---> is the rate of change
we have
substitute
For y=19,600
substitute in the exponential equation and solve for x
apply log booth sides
Refer to the diagram shown below.
Let x = the length of the third side (the hypotenuse) of the right triangle.
From the Pythagorean Theorem, obtain
x² = 9² + 40² = 81 + 1600 = 1681
x = 41
Answer: 41
Let x = the length of the third side (the hypotenuse) of the right triangle.
From the Pythagorean Theorem, obtain
x² = 9² + 40² = 81 + 1600 = 1681
x = 41
Answer: 41