Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!

A football is kicked straight up into the air from 3 feet above the ground with an initial velocity of 208 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 208t + 3.
a) Find how long it takes for the football to reach its maximum height.

b) Determine how long the football was in the air (approximately). Why might this not quite be accurate?

c) Determine the maximum height of the football.

Answers

Answer 1

Answer:

a) 6.5 secondsb) 13 secondsc) 679 ft

Step-by-step explanation:

Given function:

h(t) = -16t^2 + 208t + 3

a) Maximum height is the vertex. The ball reaches the maximum after:

h = -208/2(-16) = 6.5 seconds

b) Time the ball was in the air:

-16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) Maximum height is at vertex, we found t above:

h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft

Related Questions

The zoo order 567 pound of fish. if the zookeeper divides the fish into 9 buckets how many pounds of fish are in each bucket​

Answers

Answer:

63

Step-by-step explanation:

there are 63 pounds of fish in each bucket

There are - 567 ÷ 9
= 63 pounds of fishes in each bucket

How could you show the problem using fractions?​

Answers

Answer:

What Problem?

Step-by-step explanation:

SOMEONE HELP ME PLEASE IM SO CONFUSED

Answers

Answer: 132.5 or 85 degree

Step-by-step explanation:

Answer:

55

Explanation, when 2 angles are bisected, they are even

(Angle DBF is 35 degrees with that logic)

All triangles add up to 180 degrees

(Angle is 55 degrees because of that)

I might be incorrect, but I think its 55

Value of x. Pleaseeeeeeeeeeeeeee

Answers

Answer:

x=62

Step-by-step explanation:

all angles should add to 180

180-56=124

124÷2=62

Answer:

Step-by-step explanation:

1st notice that two of the sides are the same length?   ( isosceles ) that mean the two angles at the "base" which is the side that both of the same size legs tie into... that's the side that is 4.5 in the picture.  soooo if both of those angles are the same.. and we know that the angles are going to add to 180 then....  we can say    the the 56° is the same as the one at the other end of the 4.5 side (base) so  2*56°=112°

and then 112° + x = 180°

x = 180-112

x = 68°

:)

Emma buys 3 and two-thirds yards of blue fabric and some yellow fabric at a store. She buys a total of 5 and one-third yards of fabric. The equation 5 and one-third = 3 and two-thirds + y can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?
1 and two-thirds yards
2 and one-third yards
8 yards
9 yards

Answers

Answer:

1 and two-thirds yards

Step-by-step explanation:

5⅓ = 3⅔ + y. Subtract 3⅔ from both sides.

It may be useful to use improper fractions.

16/3 – 11/3 = y

5/3 = y

5/3 is equivalent to 1⅔

Answer:

First one

Step-by-step explanation:

What is z + 15=27 subject is math and the assignment is named Solving 1 Step Equations using Addition and Subtraction I need help ASAP

Answers

Answer:

z=12

Step-by-step explanation:

z+15=27

move constant

z=27-15

z=12

You have just received an inheritance of $28,000 and would like to invest it into an account. The bank offers two investment plans, one for 4 years at 5.8% compounded annually and another for 3 years at 7.083% compounded annually. You want to make equal annual withdrawals from the account over the life time of the loan. Which investment will yield the highest annual withdraw and by what amount, given that the account will be zeroed out by the end of that period? Round your answer to the nearest cent.
a.
4 year account; $8,043.59
c.
4 year account; $10,436.34
b.
3 year account; $10,685.63
d.
3 year account; $8,281.88

Answers

C is the correct answer

I will braninlest you

Which situation would require determining volume?

a. Kiki wants to know how wide her window is.

b.Nick wants to know how much tile it takes to cover the floor of a room.

c. Min wants to know how much fence is needed to go around the edges of his yard.

d. Sarah wants to know how much water her fish tank can hold.

Answers

Answer:

d

Step-by-step explanation:

Volume is space inside something, like water in a fish tank

Can someone help me?

Answers

Answer:

They are similiar

But which options of answers do you have?

HELPPP 13 ( 11 - 3x) - 5(16- 4x)

--------------

2

Show work pls

Answers

13•11-13•3x-5•16-5•4x = Socratic app

The table below shows the cost of a pizza with added toppings.
Cost of Pizza
$7.99 $8.99 $9.99
$9.99 $10.99
Number of Toppings 1
2
3.
4
Which variable represents the independent variable?
-the cost of the pizza
-the number of toppings

Answers

Answer:

the number of toppings

Step-by-step explanation:

cause the pizza the same but different amount of toppings

The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 700 employed persons and 300 unemployed persons are independently and randomly selected and that 500 of the employed persons and 200 of the unemployed persons have registered to vote. Can we conclude that the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote

Answers

Answer:

Yes.  We can conclude that the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Step-by-step explanation:

Number of employed persons in the sample = 700

Number of unemployed person in the sample = 300

Number of employed persons who have registered to vote (p1) = 500

Number of unemployed persons who have registered to vote (p2) = 200

Proportion of registered voters who are employed = 500/700 = 71.4%

Proportion of registered voters who are unemployed = 200/700 = 28.6%

This implies that the percentage of registered voters who are employed is more than the percentage of registered voters who are employed.  71.4% (500/700) of the employed registered to vote as against 66.7% (200/300) of the unemployed who registered to vote.

We can conclude that of the 700 registered voters in the sample, 71.4% (500/700) are employed while 28.6% (200/700) are unemployed.

Therefore, the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Find a solution to the linear equation 6x+y=6

Answers

Answer:

y = -6x + 6

Step-by-step explanation:

Unless you are asking for solving the linear equation itself, the answer would be y = -6x + 6.

If you were trying to set up systems and then solve for actual solutions, you would need two equations. I will go with solving the linear equation, but if you meant solving systems, the answer cannot be found.

The UK currently has a progressive income tax system on earnings. The rules are as follows: Any earnings under 11,500 GBP are taxed at 0%. Any earnings between 11,500 GBP and 33,500 GBP are taxed at 20%. Any earnings between 33,500 GBP and 150,000 GBP are taxed at 40%. Any earnings above 150,000 GBP are taxed at 50%. An executive earns 175,000 GBP gross. How much tax does he pay? Give your answer in pounds to the nearest pound. Do not include commas or the pound symbol in your answer.

Answers

The amount to tax that the executive pays is 87,500 GBP.

How much does the executive pay?

Tax is a compulsory payment that is levied on the income or one the sales of certain goods and services. Tax is imposed by the government to achieve various macroeconomic objectives. Taxes reduces the income of an individual.

When tax is levied on the income of an individual, it is known as an income tax. There are various types of taxes, one of them includes progressive tax. Progressive tax levies a higher tax percentage on those that earn an higher amount of money. Thus, the tax rate increases as income increases.

The executive earns 175,000 GBP gross. 175,000 GBP is greater than 150,000 GBP, thus, he would be taxed at a rate of 50%. In order to determine the tax the executive would pay, multiply the income of the executive by the tax rate.

Multiplication is the mathematical operation that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.

Tax that would be paid = tax rate x gross income

175,000 x 0.5 =87,500 GBP

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

what would the answer to this math problem?

27.4-3.2×2

Answers

use BIDMAS and do 3.2x2=6.4
then do 27.4-6.4= 21

answer = 21

CHALLENGE 5 QUESTIONS you up for it the 5 are down below ITS MATH WILL GIVE BRANLEY AND 18 POINTS

Answers

Answer:

The answer is D

Step-by-step explanation:

And u lied you said 18 points when this question is up for 9 points

Woodsmith magazine gave instructions on how to build a pine cupboard. Lumber will be needed for two shelves 834 inches long, two base sides 1212 inches long, and two door stiles 2918 inches long. Your lumber comes in 6 foot lengths.

Required:
How many feet of lumber will you need?

Answers

Answer: 8.4 feet

Step-by-step explanation:

Given: Lumber required for each shelf = [tex]8\dfrac{3}{4}\ inches[/tex]

For each base side = [tex]12\dfrac12\ inches[/tex]

For each door stile = [tex]29\dfrac18\ inches[/tex]

Total lumber required = [tex](2\times 8\dfrac34 + 2\times12\dfrac12+2\times29\dfrac18)\ \ in.[/tex]

[tex]=(2\times\dfrac{35}{4}+2\times\dfrac{25}{2}+2\times\dfrac{233}{8})\ in\\\\= (\dfrac{35}{2}+25+\dfrac{233}{4})\ in.\\\\=\dfrac{403}{4}\ in. =\dfrac{403}{4}\times\dfrac1{12}\ feet \ \ \ \ [1 feet = 12 \ in.]\\\\\approx8.4\ feet[/tex]

Hence, we will need 8.4 feet lumber.

Using the table, what is the cost of the luxury items?
A.$108.94
B.$187.12
C.$99.42
D.$78.18
Item Cost Item Cost
Store brand soap $2.99 Name brand soap $3.95
Name brand shoes $38.65 Store brand shoes $20.35
Name brand socks (3 pairs/pack) $6.89 Store brand socks (3 pairs/pack) $7.25
Store brand khakis for work $25.94 Name brand khakis for work $34.50
Name brand dress shirt $24.95 Store brand dress shirt $21.65

Answers

Answer:$108.94

Step-by-step explanation:

HELP PLEASE! (Look at the picture!!!!)

Answers

Answer:

8

Step-by-step explanation:

The radius is part of a 3-4-5 special right triangle.

The diameter is two times the radius, so 4*2=

I hope this helps! :)

MKX or MK11? What yall guys think?

Answers

Answer:tbh i have no clue what you are talking about

Step-by-step explanation:

Answer:

MKX

Step-by-step explanation:

v²=u²+2as make u as the subject

Answers

Answer:

u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Step-by-step explanation:

Given;

v² = u²+2as

To make u the subject of the formula, the following steps are taken;

v² = u²+2as

v²  - 2as = u²

take the square - root of both sides of the equation;

[tex]\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }[/tex]

Thus, u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

A third-grade teacher has 20 students in her class. fifteen of them are girls and 5 are boys. What is the ratio of girls to boys in the third-grade class.

Answers

Answer

15:5, or 3:1

Step-by-step explanation:

There are 5 boys for every 15 boys.... aka 15:5

Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.

Answers

Step-by-step explanation:

Don and Ana are driving to theit vacation.

Linda made 24 jelly-bread sandwiches with a 16-ounce jar of jelly.

Joanne made 30 jelly-bread sandwiches with a 20-ounce jar of jelly.

Who used more ounces of jelly per sandwich, Linda, Joanne, or both? Explain your reasoning.

(Hint: Find the ounces per sandwich for each person, then compare.)​

Answers

Answer:

Both of them made the same

Step-by-step explanation:

find each ounce of jelly per sandwich

for Linda - 24/16 = 1.5

for Joanne - 30/20 = 1.5

so for each sandwich, both used 1.5 ounce of jelly

Hope it helped u! : )

hellpp please 20 points for that​

Answers

Answer:

a) 12cm

b) 360cm²

c) 2160cm cubed

Step-by-step explanation:

a)

you would use Pythagoras theorem  for A

so half of 18 is 9

15² - 9² = 144

the square root of 144 is 12

the height is 12cm

b)

18 x 20 = 360cm²

c)

csa x L

csa = b x h divide by 2

18 x 12 = 216cm²/2 = 108cm²

108xm² x 20cm = 2160cm cubed

What is the solution of the system of equations that contains the equation - 3x - 9y = 18 and the equation of the line shown on the graph below?

Answers

Answer:

No solution

Step-by-step explanation:

PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER!!! I WILL GOVE BRAINIEST IF CORRECt

Answers

Answer:

26 2/3 * [tex]\pi[/tex] or about 74.31 cubic inches.

Step-by-step explanation:

Abba grew 1 foot over the past year. He is now 5 feet tall. What was Abba's percent increase in height?

Answers

Answer:

25%

Step-by-step explanation:

Abba grew 1 foot over the past year. He is now 5 feet tall. What was Abba's percent increase in height?

Step one:

given data

We are told that Abba grew 1 foot in the past year, and now he is 5 feet tall, this means that his previous height is 4 feet.

Step two:

We want to find the percent increase

%increase = change in height/ previous height *100

%increase =5-4/4*100

%increase = 1/41*100

%increase =0.25*100

%increase = 25%

Answer:

He grew 1/5 = 20%

he was 4/5 = 80%

now he is 5/5 = 100%

Step-by-step explanation:

If ABD=61 and DBC=59 then ABC=

Answers

Answer:

180-(61+59) should give you the answer

Answer:

61+59

Step-by-step explanation:

gives u your answer

Consider the division problem 1/2÷ 3. Describe a situation this division could represent.

Answers

you could have half a cookie, divide it into thirds. (a semi circle cut into thirds)
half of a pizza divided into 3 pieces
Other Questions
PLEASE HELP LIKE NOW ASAP PLZ! WILL GIVE BRAINLIESTIn the following measurements, which zeros are significant? Circle or highlight them. 0.100 cm 1200 kg 60.10 L 0.0007 s Suppose the radius of a circle is 3 units what is the circumference 34 + 35 Because why not can someone help me asapp !!!! A telephone pole breaks and falls as shown. To the nearest foot, what is the value of x, if the original height of the pole is 15 ft?A. 10 ftB. 9 ftC. 7 ftD. 5 ft{Please help ASAP!!} What does percent composition tell you about a substance?OA. It gives you the molecular formula of the substance,B. It tells you what the substance is made ofO C. It gives you the total mass of the substance,OD. It tells you how many moles are in the substance, Alexa and Siri are 22 miles apart on a trail. They start moving toward each other. Siri moves at a constant speed of 1.5 miles per hour. Alexa walks at a constant speed of 2.5 miles per hour. How long does it take until Alexa and Siri meet on the trail? What caused enslavers to set enslaved people free?Apeople immigrating from AfricaBthe results from the 1860 censusCthe growing abolitionist movementDBlack people supporting one another Question 2: What is the three-fifths compromise? How could the Framers JUSTIFY counting ahuman being as LESS THAN a whole person? There are 15 more boys than girls in 7th grade. There are 55 boys in 7th grade. How many girls are in 7th grade? Pls Help, I will mark Brainliest! Everythings in the pic that i need answered. Answer the next questions1. With which country do Romania, Germany and Russia border?2. If Ana is 34 but Sofia is 43 and Sonia 3 times youngerHow old is Sonia?3. Translate this sentence into several languagesI have a brother and a younger sister, and we have a dog his name is Rebel and we live in Canada. Which are Christmas traditions in Venezuela? There is more than one correct answer choice. Be sure to select all that apply. nativity scenes Christmas trees presents on Christmas Day fireworks roller skating to church If 10 is multiplied by a number, x and the result is added to 5, this statement may be written in algebra as: A. 15 B. 5+10x. C. 20 D. 15x Reread this stanza from "Not a Soul in Sight."Or they would be small dogs pulling at the leash,yapping after scents unseen, all chase and motion,loving this dirty earth too much ever to be still.What effect is this stanza's metaphor likely to have on readers?It will make the spirits of the dead seem less scary.It will remind them of their own dread about death.It will make them frightened of the next dog they see.It will discourage them from talking about lost loved ones. please help me on my math hw Can anybody explain how I solve this exercise? forms of marriage and meaning Find the volume of the cone. Round your answer to two decimal places. Muscles are usually attached at both ends to bones. The end that is attached to a bone that doesnot move is known as the____________and the end that is attached to thebone that is moved during contraction is called the__________