Yeah yeah I know it math

Ruth hit's a baseball to the right field. The ball is 4 ft above the ground when she hits it. Three seconds later it reaches its

Angelina_Jolie [31]

Answer:

Vertex form: $h(t)=-16(t-3)^2+148$

Height expressed as a function of time: $h(t)=-16t^2+96t+4$

Step-by-step explanation:

We have been given that the ball is 4 ft above the ground when she hits it.

This means that initial value (y-intercept) of ball is 4.

We are also told that three seconds later it reaches its maximum height of 148 ft. This means $h(3)=148$ .

We know that vertex form of a parabola is in format $y=a(x-h)^2+k$ .

Let us solve for a using our given information.

$4=a(0-3)^2+148$

$4=a(-3)^2+148$

$4=a*9+148$

$4-148=9a+148-148$

$-144=9a$

$a=\frac{-144}{9}$

$a=-16$

Therefore, the vertex form of our given function would be $y=-16(x-3)^2+148$ .

Since we need height as a function of time, so we will get:

$h(t)=-16(t-3)^2+148$

$h(t)=-16(t^2-6t+9)+148$

$h(t)=-16t^2+96t-144+148$

$h(t)=-16t^2+96t+4$

Therefore, the function where height is expressed as a function of time would be $h(t)=-16t^2+96t+4$ .

3 0

3 years ago

5 men can complete a job in 4 days. In how many days can 10 men working at 1/4 of the previous rate complete the job?

g100num [7]

The answer is 8 days

7 0

3 years ago

The following factors are not prime: (x2- 7x)(7x+21).What remains to be factored? (can be more than one answer). A) Factor out t

topjm [15]

C
The first binomial can have an x factored out, resulting in (x-7) and the second binomial can have a 7 factored out, resulting in (x+3)

5 0

4 years ago

Read 2 more answers

Can you please solve and explain how. I dont have any idea :(

mezya [45]

From the expression 2f + 5(8-f), we know that Karla caught f purple dot fish, and (8-f) green dot fish, because green dot fish gives 5 points.

2f -points for the purple dot fish, f is a number of the purple dot fish.

5(8-f) - points for the green dot fish, (8-f) is a number of the green dot fish.

So,

altogether she made 8 attempts.

One attempt cost 50 cents,

8 attempts cost 8*50=400 cents = $ 4.

Answer is B. 4 (dollars).

4 0

3 years ago

Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest

xxTIMURxx [149]

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

6 0

4 years ago