If a toy rocket is launched vertically upward from ground level with an initial velocity of 135 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 135t. How long will it take the rocket to return to the ground?

Answers

Answer 1

Answer:

The toy rocket will return to the ground at 8.44 seconds

Step-by-step explanation:

The height h of the toy rocket launched vertically as a function of the time t is given by:

[tex]h(t)=-16t^2+135t[/tex]

The rocket will return to the ground when h=0:

[tex]-16t^2+135t=0[/tex]

Factoring:

[tex]t(-16t+135)=0[/tex]

There are two solutions:

t=0, t = 135/16 = 8.4375

The first solution corresponds to the moment the toy rocket was launched, the second is the time taken by the rocket to return to the ground.

The toy rocket will return to the ground at 8.44 seconds


Related Questions

What is 5555+2929472

Answers

Answer:

2935027

Step-by-step explanation:

find the equation of the line shown

Answers

Answer:

y=2x

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

y intercept = 0

slope = rise/run

rise = 2

run = 1

2/1=2

slope is 2

help me please i need help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 3 pieces

Step-by-step explanation:

Jackson wants to attend a 2-year technical college that costs $7,200 per year. His parents plan to contribute 50% of his tuition each year. Jackson wants to save money while working at his summer job for the next 2 years. How much will he need to save each summer in order to have enough money for his first year's tuition?

Answers

Answer:

$3600

Step-by-step explanation:

Given

Collège cost=$7,200

Collège cost for 2 years= $7,200x2=$14400

50% of the cost cost for 2 years= $7,200

So for the remaining $7,200 Jackson will need to sort it himself for the next two years

So that per year he must save 7200/2= $3600

Movie tickets for an adult and 3 children cost 20 dollars. An adult ticket cost 2 dollars more than a child's ticket.

1.Write and equation

Answers

Answer:

a + 3c = 20

Step-by-step explanation:

1. Define the variables

Adult = a, child = c

a = 2 +c

2. Get the equation.

a + 3c = 20

-x-2y for x = -5 and y=5

please explain how you got answer

so I can understand it thanks

Answers

Answer:

‒5

Step-by-step explanation:

‒x‒2y=‒(‒5)‒2(5)

=5‒10

=‒5

i hope it helps you

Answer:

-(-5)-2(5)

negative wih negitive will become positive so

-(-5) become positive 5 andwhen when we multiply negative and positive we get negative so -2(5) become -10 so finally 5-10=-5 thank you!!

Write the equation of the line in point-slope form with a slope of 5/2 and passing through the point (0,1).

Answers

Answer:

y = 5/2x + 1

Step-by-step explanation:

you are given (0,1) which means that the y intercept is 1.

Subsitute values in a linear equation:

y = mx + b

y = 5/2x + 1

A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?

Answers

Answer

75 inches

Explonation

To find the answer, you should multiply 1 by 75

17/3 as a converted fraction mixed numbers

Answers

Answer:

5  2/3 you can't convert it to a fraction of the answer would be 17/3 because nothing can be done.

Step-by-step explanation:

Which equation applies the associative property of multiplication?


​(−12⋅47)+(−12⋅23)=−12⋅(47+23)​

​−65−(53−14)=(−65−53)−14​

​(−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57​

​89⋅74⋅(−58)=89⋅(−58)⋅74

Answers

Answer:

the 2nd one

Step-by-step explanation:

Answer:

The answer is C. (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57

Step-by-step explanation:

I took the K12 test

Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)

Answers

the answer is seven...

find the scale factor of the dilation

Answers

Step-by-step explanation:

The scale factor of the dilation determines how much larger or smaller the image will be (compared to the original object). when the absolute value of the scale factor is greater than one, an expansion occurs.

Pls help asap
i am timed

Answers

Answer:

1 or 0/16 or 1/16

Step-by-step explanation:

need help with solving equations

Answers

1/3(x+3) +4= -4+2/3x
1/3x+1+4 = -4+2/3
1/3x+5 =-4+2/3
-1/3x=-9
X=27

A town’s population went from 35,000 to 42,000 in 3 years. What was the percent of change?
Can sum1 help me

Answers

Answer:

The population changed by 20% in 3 years

Step-by-step explanation:

The percentage change, is given by the following equation;

[tex]Percentage \ change = \dfrac{Final \ value - Initial \value }{Initial \ value} \times 100[/tex]

The given parameters are;

The initial population of the town = 35,000

The final population of the town = 42,000

The percentage change in the population is therefore;

[tex]Percentage \ change \ in \ population= \dfrac{42,000 - 35,000 }{35,000} \times 100 = 20 \%[/tex]

The population changed (increase) by 20% in 3 years.

A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards

Answers

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The seamstress had 37/9 yards of material for each uniform.

What is division?

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

How to solve it?

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

https://brainly.com/question/14692277

#SPJ2

Find the value of x in this equation.
3/4(6x+1)-3x=1/4(2x-1)

Answers

Answer:

x = -3 1/4

Step-by-step explanation:

3/4*6x= 4.5x

3/4*1=3/4

4.5x-3x=1.5x

1.5x+3/4=1/4(2x-1)

1/4*2x=1/2x

1/4*-1=-1/4

1.5x+3/4=1/2x-1/4

-1/2x               -3

x= -3 1/4

Answer:

x=-1

Step-by-step explanation:

3/4(x+1)=1/4(-1)

2/4(x+1)=-1

x+1=-2/4

Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile driven. Company B charges an initial fee of $80 for the rental plus $2 per mile driven. Let AA represent the amount Company A would charge if Piper drives xx miles, and let BB represent the amount Company B would charge if Piper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.

Answers

Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Hailey went to Farmer's Market and bought 134 pounds of coffee at $13.00 per pound and 812 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50.00 bill, how much change did she receive?

A
$22.75


B
$23.42


C
$26.58


D
$76.58

Answers

Answer: B

. $23.42 is your answer

Hailey went to Frank’s Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a  $50 bill, how much change did she receive?

Answer:

$23.43

Step-by-step explanation:

First, you need to find the total amount she needs to pay for the items she purchased:

1 3/4=1.75

8 1/2=8.5

Total purchase=(1.75*$13)+(8.5*$0.45)

Total purchase=22.75+3.82

Total purchase=26.57

No, you need to subtract the total amount you have to pay for your purchase from $50:

$50-$26.57=$23.43

According to this, the answer is that she received $23.43 as change.

Answer: B- $23.43

Step-by-step explanation:

First, you need to convert:

1 3/4=1.75

8 1/2=8.5

Total purchase- (1.75 x 13) + (8.5 x 0.45) = 22.75 + 3.82 = 26.57

Now you need to subtract the total amount you have to pay for your purchase from the $50.

50 - 26.57 = 23.43!

A family budgeted 28% of their monthly income to take a family vacation.
What fraction of the family's budget was spent on the vacation?

7/250

1/28

7/25

2/8

Answers

The answer is 1/28 i think

Answer:

7/25

Step-by-step explanation:

The answer is simple. It's a simplified fraction of 28%, or 28/100.

PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__

Answers

Answer:

x= 17

HJ= 27

JK= 153

HK= 180

Step-by-step explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) Draw a sketch of the segments described above

Find attached to this answer the diagram of the sketch of the segments described above

b) Write an equation using the segment addition postulate that will help you solve the problem

HJ + JK = KH

x + 10 + 9x = 14x - 58

c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58

10 + 58 = 14x - x -9x

68 = 14x - 10x

68 = 4x

x = 68/4

x  = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

JK= 9x

= 9 × 17

= 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180

3/4x=2 pls help asap

Answers

Answer:

x=8/3

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer: x = 8/3

Step-by-step explanation:

3/4 divided by 2??????

Answers

Answer:

3/8

Step-by-step explanation:

3/4 / 2/1

3/4 * 1/2=3/8

3/8

Answer:

[tex]\frac{3}{8}[/tex]  

I hope this helps!

In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If 15000 students participated in the poll, how many chose Orange? Orange-45%

I need the answer as soon a possible

Answers

Answer:

6750

Step-by-step explanation:

divide the total by 100%

15000÷100%=150

and sense you need the 46% you just multiply

150×46%=6750

Find the missing side using the pythagorean theorem.
9 in
12 in
x =

Answers

Answer:

225 in

Step-by-step explanation:

Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65

Answers

Answer:

The correct option is;

c) 39

Step-by-step explanation:

The given information are;

The number of eggs that are blue = 6

The percentage of eggs that are brown = 25%

The percentage of eggs that are blue = 10%

Let the number of eggs Jane has = X

Therefore;

10% of X = 10/100 × X = 6

X = 6 × 100/10 = 60

The number of eggs Jane has = X = 60

The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)

The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%

The percentage of the eggs that are white eggs = 65%

∴ The number of  eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs

The number of  eggs that are white = 39 eggs.

Tyree rented a bike for a $4 fee,plus $9 per hour.Tyree spent exactly $31.What is the total number of hours that Tyree rented the bike ?

Answers

Answer:

Tyree has spend 3 hours on the bike.

Step-by-step explanation:

For starters, he has already paid $4 to ride the bike. For each hour, $9 would be added to the $4; for example:

$4 + $9/hr

$13 after an hour + $9

$22 after 2 hours + $9

$31 after 3 hours.

I need help. Plzzzzz ASAP

Answers

Answer:

y=-1/3x+1

Step-by-step explanation:

you can also use desmos.

It's a graphing calculator

f(x)=2(x-5)^{2}-8
graph equation
find vertex, root, and y-intercept

Answers

Answer:

Vertex: (5,-8)

Root: (3,0) and (7,0)

Y intercept: (0,42)

Step-by-step explanation: 2(x-5)^2 -8 graphed

Combine like terms.
C + f + 2f +3C + S + S + 20
Do not add any spaces to your answer.

Answers

Answer:

4c + 3f + 2s + 20

Step-by-step explanation:

[tex]c + f + 2f + 3c + s + s + 20[/tex]

[tex]4c + 3f + 2s + 20[/tex]

Other Questions
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Her results are shown in the following table.A: Given the results of Idas experiment, what is the probability that the next piece of taffy she pulls from the bag will be lemon-flavored?B: If the bag contains a total of 200 pieces of taffy, how many of the pieces are likely lemon-flavored?Select one answer for question A and one answer for question B.(Table Below)Flavor Countblueberry 8strawberry 5lemon 12Possible Answers:A: 8/25A: 12/25A: 13/25A: 3/5B: 96 piecesB: 40 pieces B: 64 piecesB: 100 pieces Z+(z-6)-2=-10How donI solve this? which piece of art video did you find most interesting why?The video called Element of art: Texture Ancient Indus sculptures werea extremely large and usually made out of clay or sandstone.b. created to show people how Buddha came to become deity.C. contained inscriptions along the top edge that we cannot understand today.d. always carved into the sides of mountains and in the walls of caves in the valley. Simplify the expression:4 + 7(-7 + -9k) 10 1/7 divide by 5 can you help me a fourteen year old boy begins dating a female who is twenty and the two begin sexual relationship.... Has a crime been committed simplify 5(b 4) + 12 Flight 1 When Robert was a little boy, he wanted nothing more than to see a hawk flying across the sky. Or to see an eagle, an osprey, or a falcon! Robert loved to think about large birds with great yellow talons, soaring across the sky and seeing every corner of the earth that people could not see. 2 But Robert lived in the city, where such birds were never seen. He used to fall asleep at night imagining a hawks wings forming arcs across a great big blue sky, which he pictured as a wide, open field where no legged animals could run but only winged animals could soar. As he drifted into dreams, the birds in his imagination morphed into dragons and pterodactyls and all manner of ancient or other- worldly flying creatures. Robert would wake in the morning smiling at the thought of this big blue field in his dreams. But he spent each day on the subway and walking along crowded sidewalks and looking up between tall buildings where he could catch only a sliver of blue. 3 As he got older, Robert tried to forget about his dreams and focus all his attention on his studies. At school, he took the hardest classes he could and was in advanced placement math and science before long. He decided that if he could not see hawks and eagles and falcons in their natural habitat, he would learn everything he could about how those animals worked. He loved to think about how lessons from birds had led to the first experiments in human flight and the development of airplanes. 4 Robert devoured books about the inventors of the airplanes and the physics that made air travel successful. 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The probability that you will NOT get a ticket on two days is How have you dealt with failure and bounced back from it? To begin your activity, open this Tracker experiment: Car Round Trip. Click play to watch the video. The other video controls allow you to rewind the video or step forward or backward one frame at a time. |x-3|+2 Please help me with this problem please ;(