A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where h(t) is the height, in feet, after t seconds?

A. h(t) = -16(t - 403)^2 + 3
B. h(t) = -16(t - 5)^2 + 3
C. h(t) = -16(t - 3)^2 + 403
D. h(t) = -16(t - 5)^2 + 403

Answers

Answer 1

Answer:

I believe its A

Step-by-step explanation:

Answer 2

D. h(t) = -16(t - 5)² + 403 could be used to model this situation.

What are the given informations ?

A baseball is hit from an initial height of 3 feet.

The baseball reaches a maximum height of 403 feet.

Here, h(t) indicates the height in feet after t seconds.

Which function is correct ?

At the start, t = 0 & Initial height = 3 feet ,i.e. h(0) = 3

We have to verify options by putting t = 0

A.  h(t) = -16(t - 403)² + 3

So, h(0) = -16(0-403)² + 3 = -16(-403)² +3 = -2598544+3 = -2598541

B.  h(t) = -16(t - 5)² + 3

So, h(0) = -16(0-5)² + 3 = -16(-5)² + 3 = -400+3 = -397

C.  h(t) = -16(t - 3)² + 403

So, h(0) = -16(0-3)² + 403 = -16(-3)² + 403 = -144 + 403 = -259

D.  h(t) = -16(t - 5)² + 403

So, h(0) = -16(0-5)² + 403 = -16(-5)² + 403 = -400 + 403 = 3

Hence, in this function h(0) = 3 verified.

Therefore h(t) = -16(t - 5)² + 403 is the required function.

Learn more about function here :

https://brainly.com/question/27447037

#SPJ2


Related Questions

The regular price of a video game is $50. The game is on sale for 20% off the regular price.

Find the sale price of the game.



Find the total price, with a sales tax rate of 8%. (*Hint: Sales tax is an additional amount paid.)
HELP PLEASE!!!

Answers

Answer:

Sale Price:

50x-20%=10

50-10= 40

Total Price:

40x-8%=3.20

40+3.20= 43.20

Step-by-step explanation: If you encounter more problems like this, use the x and - method! Its easier to understand and a shorter method :)

3 (1 - x)=2 (-4x + 7)
Solve for X.

Answers

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

Use distributive property
3-3x = -8x + 14
Add 8x to both sides
3+ 5x = 14
Subtract 3 from both sides
5x = 11
X = 11/5

which inequality is shown in the graph

Answers

Answer:

hgyuu by 7vb j 8gv c ryuug

y=>-x-4

the line is solid and the graph is shaded above the line so the symbol is => the slope decreases by 1 so it is -x and the y-intercept is -4

Solve for n.

n - 26 = -13
n =

Answers

Answer:

n= 13

Step-by-step explanation:

.................

Answer:

n=13

Step-by-step explanation:

because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer

a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads

Answers

Answer:

famwfklawf'ajnkpfjnflasjfajlkfjlk/ajkljkljklasjkfjkajkjkfajkfjkj/fj/fsklafnwklasj'fawJFAKLfajfl;ajfafjafafafafaf

Step-by-step explanation:

Tell whether the rates form a proportion.

32 notes in 4 measures; 12 notes in 2 measures
yes
or
no

Answers

Answer: no

Step-by-step explanation: the answer is no

A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre

Answers

Answer: 8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.

I hope this helps :)

Someone please help me, please

Answers

110 degrees, for triangles all sides should add up to 180 degrees, no matter what type of triangle it is, hope this helps!

Answer my math question I asked so many times I lost most of points help by

Answers

y-intercept: (0, 1)

Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5

Line of symmetry: x = 0.5

Open UP or DOWN: Opens UP

Min or Max: Min

Vertex: (0.5, 0.5)

Domain: {x|x ∈ ℝ}

Range: {y|y ≥ 1/2}

Solve the equation by​ factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)

Answers

2x^2+20x=7x+7

2x^2-13x-7

(2x+1) (x-7)

2x+1=0

2x/2=-1/2

x=-1/2

x-7=0

x=7

The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism

Answers

Answer:

A=2wl+2lh+2hw

A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)

A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)

A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)

Answer:

6x²+36x+22

Step-by-step explanation:

Surface Area = 2(wl + hl + wh)

Length = (x+3)

Width   = (x+7)

Height  = (x-1)

Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))

Then simplify

2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))

=2x²+20x+42+2x²+4x−6+2x²+12x−14

=6x²+36x+22

help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root​

Answers

x
=
i

5

x
=
i

5
,

i

5
,

5
,
5
,
8

Answers:

The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4

======================================================

Explanation:

We'll use the zero product property to solve.

[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]

where [tex]i = \sqrt{-1}[/tex]

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

The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.

The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]

And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]

So i need help T-T

According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible. Yellow, black. Yellow, black. Yellow, black. Yellow, black. Ooh, black and yellow! Let's shake it up a little. Barry! Breakfast is ready! Ooming! Hang on a second. Hello? - Barry? - Adam? - Oan you believe this is happening? - I can't. I'll pick you up. Looking sharp. Use the stairs. Your father paid good money for those. Sorry. I'm excited. Here's the graduate. We're very proud of you, son. A perfect report card, all B's. Very proud. Ma! I got a thing going here. - You got lint on your fuzz. - Ow! That's me! - Wave to us! We'll be in row 118,000. - Bye! Barry, I told you, stop flying in the house! - Hey, Adam. - Hey, Barry. - Is that fuzz gel? - A little. Special day, graduation. Never thought I'd make it. Three days grade school, three days high school. Those were awkward. Three days college. I'm glad I took a day and hitchhiked around the hive. You did come back different. - Hi, Barry. - Artie, growing a mustache? Looks good. - Hear about Frankie? - Yeah. - You going to the funeral? - No, I'm not going. Everybody knows, sting someone, you die. Don't waste it on a squirrel. Such a hothead. I guess he could have just gotten out of the way. I love this incorporating an amusement park into our day. That's why we don't need vacations. Boy, quite a bit of pomp... under the circumstances. - Well, Adam, today we are men. - We are! - Bee-men. - Amen! Hallelujah! Students, faculty, distinguished bees, please welcome Dean Buzzwell. Welcome, New Hive Oity graduating class of... ...9:15. That concludes our ceremonies. And begins your career at Honex Industries! Will we pick ourjob today? I heard it's just orientation. Heads up! Here we go. Keep your hands and antennas inside the tram at all times. - Wonder what it'll be like? - A little scary. Welcome to Honex, a division of Honesco and a part of the Hexagon Group. This is it! Wow. Wow. We know that you, as a bee, have worked your whole life to get to the point where you can work for your whole life. Honey begins when our valiant Pollen Jocks bring the nectar to the hive. Our top-secret formula is automatically color-corrected, scent-adjusted and bubble-contoured into this soothing sweet syrup with its distinctive golden glow you know as... Honey! - That girl was hot. - She's my cousin! - She is? - Yes, we're all cousins. - Right. You're right. - At Honex, we constantly strive to improve every aspect of bee existence. These bees are stress-testing a new helmet technology. - What do you think he makes? - Not enough. Here we have our latest advancement, the Krelman. - What does that do? - Oatches that little strand of honey that hangs after you pour it. Saves us millions. Oan anyone work on the Krelman? Of course. Most bee jobs are small ones. But bees know that every small job, if it's done well, means a lot. But choose carefully because you'll stay in the job you pick for the rest of your life. The same job the rest of your life? I didn't know that. What's the difference? You'll be happy to know that bees, as a species, haven't had one day off in 27 million years. So you'll just work us to death? We'll sure try. Wow! That blew my mind! "What's the difference?" How can you say that? One job forever? That's an insane choice to have to make. I'm relieved. Now we only have to make one decision in life. But, Adam, how could they never have told us that? Why would you question anything? We're bees. We're the most perfectly functioning society on Earth. You ever think maybe things work a little too well here? Like what? Give me one example. I don't know. But you know what I'm talking about. Please clear the gate. Royal Nectar Force on approach. Wait a second. Oheck it out. - Hey, those are Pollen Jocks! - Wow. I've never seen them this close. They know what it's like outside the hive. Yeah, but some don't come back. - Hey, Jocks! - Hi, Jocks! You guys did great! You're monsters! You're sky freaks! I love it! I love it! - I wonder where they were. - I don't know. Their day's not planned. Outside the hive, flying who knows where, doing who knows what. You can'tjust decide to be a Pollen Jock. You have to be bred for that. Right. Look. That's more pollen than you and I will see in a lifetime. It's just a status symbol. Bees make too much of it. Perhaps. Unless you're wearing it and the ladies see you wearing it. Those ladies? Aren't they our cousins too? Distant. Distant. Look a

Answers

Answer:

I read like the first two sentences lol.

Step-by-step explanation:

Well, scientifically speaking, the bees flap their wings at a very high and fast speed, making it able to carry itself. The wings are proportionally stable on the bee and are a specific size and positioning that allows it to fly.

#teamtrees #WAP (Water and Plant)

War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how many antelope were there? (Answer is 918 but idk how to solve it.....)

Answers

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) ​ )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.

Answers

Answer:

The longest day of the year is day 172  

Step-by-step explanation:

Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1

We now solve this to find the day at which this maximum value occurs.

sin[2π(t−80.75)/365] = 1

[2π(t−80.75)/365] = sin⁻¹(1)

[2π(t−80.75)/365] = π/2

dividing both sides by 2π/365, we have

[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365

t−80.75 = 365/4

t−80.75 = 91.25

t = 91.25 + 80.75

t = 172

The longest day of the year is day 172

Answer:

172

Step-by-step explanation:

Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest

A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides

Answers

Answer:

Look at the picture

Step-by-step explanation:

For 0 rise it would just be eight dollars

A point on a graph is located at (0, -9). Which statement is true?
A -9 is the y-intercept.
B -9 is the x-intercept.
C 0 is the x-intercept.
D 0 is the y-intercept.

Answers

Answer:

A -9 is the y-intercept

Step-by-step explanation:

ANSWER :- OPTION A -9 IS THE Y-INTERCEPT

what is the correct answer?​

Answers

Answer:

Step-by-step explanation:

124 I think

TNMILLER this for youuuuuuu!

Answers

Answer:

??

Step-by-step explanation:

i am so confused... love ur pfp tho

Answer:

:D

Step-by-step explanation:

thank

9x - 4 = 5x - 4 + 4x

Answers

Answer:

X = 1

Step-by-step explanation:

HOPE THIS HELPS

am i answering the same question over and over again?

whatever

PLZ MARK BRAINLIEST

please help me pls and ty ​

Answers

There are two opposite pairs and I am not sure if this is a select all question.
But here are the following:

B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8

Hope this helps!

Which point is on the graph of f(x)= 5^x

A. (1, 5)
B. (0, 0)
C. (5, 1)
D. (0, 5)

Answers

Answer:

B

beacuse f and x are f  -5 and x   5

(√3+5)(√3-1) How do u solve it?

Answers

Answer:

4.93

Step-by-step explanation:

Use calculator

Mark me as brainliest

Answer:

[tex]4\sqrt3-2[/tex]

Step-by-step explanation:

[tex](\sqrt3+5)(\sqrt3-1)\\\\3+5\sqrt3-\sqrt3-5\\\\4\sqrt3-2[/tex]

Hope this helps, please award brainliest! Have a nice night.

Wow...I forgot how to do this please help

Answers

Answer:

B. y = -6x+7

Step-by-step explanation:

change in x is positive 6 change in y is negative 1

6/-1 is the slope

-6 is the slope

rewrite 4^-3 using a positive exponent an evaluate the result.

Answers

Answer: 1/4³

Step-by-step explanation:

When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.

Examples:

2^-2 = 1/2²

3^-3 = 1/3³

4^-4 = 1/4⁴

What is the solution to the equation shown below? (2/3)x + 5 = 1

Answers

Answer:

The solution is x = −6.

Step-by-step explanation:

x2 is to 441 as x3 is to ___.

Answers

Solve for c in x^2 = 441

Taking the square root of both sides x = 21

Now x^3 = 21^3 = 9,261

The answer is 9,261

The solution is x² is to 441 as x³ is to 9261

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x² = 441

Taking square roots on both sides , we get

x = 21

Therefore , x³ = 21 × 21 × 21

x³ = 9261

Hence , x² is to 441 as x³ is to 9261

To learn more about equations click :

https://brainly.com/question/3617398

#SPJ2

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

how do I answer this please help homework due tomorrow x​

Answers

Answer:

63.6 m^2

Step-by-step explanation:

A = (pi)r^2

r = d/2 = 9 m / 2 = 4.5 m

A = (3.142)(4.5 m)^2

A = 63.6 m^2

The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

The first option

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Other Questions
In an organ transplant, a doctor transfers a donated organ from a recently deceased person to a live patient. One of the consequences is that the patient's immune system - the system that protects against diseases and pathogens in the body will reject the new organs. Explain why this consequence isn't a concern with organs grown from human cells HELPO aSaPpp!!! thank you!!! What is the value of x in the equation 5(3x + 4) = 23? start fraction 43 over 15 end fraction start fraction three over 15 end fraction start fraction 15 over 43 end fraction start fraction two over five end fraction PLEASE HELP! (20 POINTS)Development in the vast majority of countries in Latin America is __________.A.among the highest in the worldB.at or higher than the global averageC.among the lowest in the worldD.either very high or very low; few countries are at the global average how do i evaluate p=2l+2w if l=5 and w =3 What is the central idea of life after people written by Dolores Vasquez Find the distance between Point A(9, 10) and B(-1,9) to the nearest tenth. Which of the followings does not belong to the concept of Four Ps Marketing *1 Product2 Place3 Promotion4 Proximity I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh? Alyssa cooked the candy too long. When she took it out of the oven it was hard as a rock ? A ) simile , B) metaphor, c) hyperbole, d) personification can someone please help me? SOMEONE CORRECT THIS ESSAY. THANK YOU SO MUCH.Should smoking be banned in public places?OPENING; In the last twenty years many countries in Europe have banned smoking in public places. This is an issue which most people have clear opinions about. BODY; On the one hand, smokers are enraged. They feel the ban affects their personal liberty. They say that they have the right to smoke wherever they want. Furthermore, they claim that smoking is no more dangerous than drinking. On the other hand, most non-smokers are very happy and pleased with this law. For example, they said that they are happy that they can eat in restaurants without breathing in smoke. Moreover, doctors say this law will improve everyones health.CLOSING; In conclusion, in spite of this law affects smokers personal liberty, personally I think the law is a good thing, maybe its because I am a non-smoker person but, its a fact that doctors say this law will improve everyones health and that's what actually matters. Which equation below represents a proportional relationship?a. y = 5x 9b. y = 2x + 7c. y = 8xd. y = 3x 2 Whats is twenty one minus eight HELP!How did the multiplex telegraph change communication in the 1800s?It helped trains run on schedule and avoid collisions.It made it possible to use Morse code with telegraphs.It helped telegraphs transmit messages at a faster rate.It allowed people to communicate using speech alone. 6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)sos idk how to solve this:) Which best Illustrates an Anology?A. There is a panic in the Annex B.Jewish people in Europe Live in fear during World War 2 C. Anne is outspoken Whie Margot is quiet D. Anne writes in her Diary regularly Draw the stages of mitosis Write the term that is suggested by each figure or description If the mean of 50 scores is exactly 26,4, and the mean of 49 of those scores is exactly 26, is the 50 score ?