URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!

The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

So it will take 8 seconds for the ball to hit the ground we another value

t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

so now we insert the value of t = 4 into the equation of h(t) to get the height.

[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

So the point is actually at the Origin (0 , 0).

Part e

We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as  solved from part A

We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C

Graph attached.

A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =

ILL GIVE BRAINLEYyyyyyyy

I need help with this, I can't figure it out.

Please help fast too easy questions for double the points I’ll give brainless also and 10 point!

What is the value of x if
4x - 9 = 11?
A. 1/2
B.2
C.5
D.20

Write an equation for the line that passes through
(2,7) and (-1,-8)

PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.

In 2006, there were 72 million dogs in U.S. Homes. In 2010, there were 70 million dogs. What was the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010? A. about 0.03% B. about 0.97% C. about 3% D. about 97% Speed: NormalVoice: Female Volume: 70%

What is the equation for a circle with the center, (0,0) and a radius of 4?

A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.

6. Complete the pattern: 4, 8, 12, 16,

what is 11÷132?? anwser please ​

Solve the following equation for the
variable (a). -3a = 15
a = 5
a = 12
a = -5
a = 18

In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.

Four times the sum of a number and seven is twenty three.

Questions in pic plz help

find the greatest common factor and the least common multiple of 12 and 20 explain
I’ll give brainleast

Please help!

if the ball family has a child in 8 years how much can I expect to spend to raise a child per year from birth to 5 years of age ?

A). $22,800
B). $21,530
C). $20,890
D).$18,240
​

how do you find the nth term of a sequence? (don't paste from Google if you don't know)

the sequence is
-1,-3,-5,-7....​

2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.

Please help!!!! Thank youuu I’ll make brainlisy

Find the lengths of all 3 sides of each triangle.

PLEASE HELP BEING TIMED
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.

The mass of Jupiter is about -----times the mass of Venus.

Which sets of ordered pairs represent a function? Select all that apply.
A {(3,5), (4, -1), (2, -1), (2, 7), (-3, 6)}
B {(-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1)}
C {(1, 1), (4, 2), (9, 3), (16, 4), (25, 5)}
D {(9, -3), (4, -2), (1, -1), (0, 0), (1, 1)}

To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True

False

Two lines that have the same slope and different y intercepts do not intersect at any points.

True

False

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.

Find the size of unknown angles

The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?

-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?