Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

H (t) = -(t-2)^2+9

many seconds after being thrown will the ball reach its maximum height?

Step-by-step explanation:

The equation of the height!

h(t) = -(t-2)^2 + 9 = -(t^2 -4t +4) + 9

h(t) = -t^2 +4t -4+9

h(t) = -t^2 + 4t +5

The maximum height is at dh/dt = 0

dh/dt = -2t +4 = 0

2t = 4

t = 4/2 = 2

Time t = 2 seconds

It will reach the maximum height after 2 seconds

8 0

3 years ago

At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in h

densk [106]

Answer: There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of employees wants to choose = 6

The combination of n things taken r at a time is given by:-

$^nC_r=\frac{n!}{r!(n-r)!}$

Put n = 25 and r= 6, we get

$^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100$

Hence, there are 177100 possible groups.

8 0

3 years ago

Darlene kicks a soccer ball off the ground and in the air, with an initial velocity of 34 feet per second. using the formula h(t

monitta

Answer:

18.1 is the answer. I am glad I could help.

7 0

3 years ago

Read 2 more answers

1/3 of the viewers opening rated the movie as goo and very good. 35 people rated it good and 20 people rated it very good. what

mylen [45]

Since a total of 55 people rated it good/very good, we know that 1/3 of the viewers are 55 people. So we can set the equation: 1/3x=55

Now, just multiply both sides by 3 (or divide by 1/3, same thing) and get your answer!

4 0

3 years ago