You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can be represented by y= -16t^2+24t. How many seconds are you in the air?

Answers

Answer 1

Answer:

[tex]1.5\; \rm s[/tex].

Step-by-step explanation:

The person in this question is in the air whenever the height is greater than [tex]0[/tex].

The graph of [tex]y = -16\, t^{2} + 24\, t[/tex] is a parabola opening downwards. Rearrange and find values of [tex]t[/tex] that would set this expression to [tex]0[/tex].

[tex]\begin{aligned}y &= -16\, t^2 + 24\, t \\ &= t\, (-16\, t + 24) = -8\, t\, (2\, t - 3)\end{aligned}[/tex].

The first factor, [tex]t[/tex], suggests that [tex]t = 0[/tex] would set this expression to [tex]0[/tex]- quite expected, since the person is on the ground right before jumping.

The second factor, [tex](2\, t - 3)[/tex], suggests that [tex]2\, t = 3[/tex] (in other words, [tex]t = 3/2 = 1.5[/tex]) would also set this expression to [tex]0[/tex]. Hence, this person would be once again on the ground [tex]1.5[/tex] seconds after jumping.

Hence, this person is in the air between [tex]t = 0[/tex] and [tex]t= 1.5[/tex] for a total of [tex]1.5\; \rm s[/tex].


Related Questions

Select the correct answer from each drop-down menu.
The number 5 is
BIS
May than -1; because - lies
on a vertical number line.
Reset
Next
less
greater

Answers

Answer:

The number -7/5 is greater than -1 1/5

Answer:so -7-5 is graeter than  - 1 /1/5 and it above 1/1/5

Step-by-step explanation:

How many farms less are there in the United States if the number of farms decreased from 5,859,169 to 5,382,162? (Write the operation and the answer) no links

Answers

In order to figure out the answer we can do subtraction in this cause we can write down 5,859,169-5,382,162 which equals 477,007 so there are 477,007 less farms in the United States

Find SR
A) 4
B) 5
C) 7
D) 9

Answers

9514 1404 393

Answer:

  C)  7

Step-by-step explanation:

We have ...

  TS +SR = 19

  SR +RQ = 13

Adding these two equations together, we have ...

  TS +2·SR +RQ = 19 +13 = 32

We also have ...

  TS +SR +RQ = 25

Subtracting this from the equation above, we have ...

  (TS +2·SR +RQ) -(TS +SR +RQ) = 32 -25

  SR = 7

_________________ polygons have congruent angles and proportional side lengths.
answers are:

Regular

Similar

Congruent

Parallel

Answers

Similar polygons have congruent angles and proportional side lengths.

Step-by-step explanation:

I think its similar

3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?​

Answers

Answer:

22?

Step-by-step explanation:

2.90=q(.25)+n(.05)
whats q?
q=22-n
2.90=(22-n)(.25)+n(.05)
solve for n...
n=13
so we have 13 nickels
q=22-13=9

Use the Pythagorean Theorem to solve for x (round your answer to the nearest tenth, write the answer as x=?) please an thanks.


Answers

Answer:

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +20^{2} =c^{2} \\21.93=c[/tex]

Step-by-step explanation:

The graph is a two-dimensional representation of the
curve a manufacturer uses to define the shape of a
commercial satellite in feet.
A machine is programmed to make a horizontal cut
along the x-axis, trimming the sides of the satellite dish.
What is the resulting width of the satellite dish, in feet?
O 4 ft
Ay
5+
O 6 ft
4 +
O 8 ft
3 +
0 12 ft
2+
1+
-6.0)
(6.0)
Y
1
2 3 4
5 6 7
- 2
3

Answers

Answer: D. 12 ft

Step-by-step explanation:

Answer:

12ft

Step-by-step explanation:

Which expression is equivalent to​

Answers

Answer:

[tex] x {4}[/tex]

Step-by-step explanation:

easy math

Find the value of x.

Answers

Answer:

D

Step-by-step explanation:

The midsegment AC is half the sum of the parallel bases, that is

AC = [tex]\frac{DF+EB}{2}[/tex] , then

x = [tex]\frac{13+9}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11 → D

suppose A and B are complementary angles, m a =(x-5) and m b= (2x+20). Solve for x and then find m a and m b

Answers

Answer:

4

Step-by-step explanation:

In the fiqure below, I = 10 cm, w = 4 cm, and h = 3 cm. What is the length of s?

Answers

Answer:

c. 10.8 cm

Step-by-step explanation:

s=√10²+4²=√116=10.8

Rotate triangle P 90° clockwise about the point (2, -1).

Please screenshot this and send me the answers cuz I really need help :(​

Answers

Answer: (2,0), (2,1), and (6,1)

Step-by-step explanation: I just used the desmos graphing calculator to find the answer to your problem. I don't know any formulas to solve it so I just rotated the points by hand. I also made sure they were still equidistant from the point (2,-1) because if their distances from other points changed during the rotation, then the triangle would not be equal to the first triangle and the image would've been distorted.

I hope this helps! Have a nice day.



Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly

Answers

Answer:

bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.

The yearbook staff receive 75 submissions for yearbook articles. Paul will accept 2/5
of all submissions. Currently, Paul plans for the yearbook to have 156 pages.
How many more pages will Paul need to add to the yearbook to have 2 articles on every 13 pages? Show your work and explain your thinking.

Answers

Answer:

2/5 of 75 is 30 thats all i have for because i am haveing trouble with the same question

Step-by-step explanation:

the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.

Answers

Answer:    18pi

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

Explanation:

The area 81pi square meters leads to the radius 9 meters

Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.

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

Once you know the radius, you can determine the circumference C

C = 2*pi*r

C = 2*pi*9

C = 2*9*pi

C = 18pi

The circumference is the perimeter, or distance, around the circle.

What is the value of x? (giving brainliest and thanks to all!)

Answers

Answer:

x = 12

Step-by-step explanation:

Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{x}{24}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10x = 120 ( divide both sides by 10 )

x = 12

Math question part 2 show work thanks Jim !!

Answers

Part (b)

The scale 1 cm = 2 m means we'll multiply whatever the cm distance is by 2 to get the meter distance in real life.

The shed is 3 cm by 3 cm on paper. It corresponds to 6 meters by 6 meters in real life.

----------

The cement pad is 6 meters by 10 meters in real life because it's originally 3 cm across and 5 cm vertical. We double each dimension as done before, and replace "cm" with "m".

----------

The hot tub is a circle so we don't get an exact measurement here. But we can determine a good estimate. It appears it's 2 cm across and 2 cm vertical. So that corresponds to 4 meters by 4 meters

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

Part (c)

On paper, the distance is 4.5 cm since we count out 4 full squares plus half a square when going a horizontal distance from the cement pad to the pool.

Therefore, the distance in real life is 9 meters

1 cm = 2 m

4.5*(1 cm) = 4.5*(2 m)

4.5 cm = 9 m

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

Part (d)

The flowerbed on paper has sides of 4 cm and 6 cm. Use the pythagorean theorem to find the hypotenuse is approximately 7.21 cm.

Double each dimension, and replace the 'cm' with 'm'

The side lengths of the actual flowerbed is 8 meters, 12 meters, 14.42 meters. That last value being approximate.

Add up the values to get the perimeter: 8+12+14.42 = 34.42

Answer: perimeter = 34.42 meters (approximate)

For two odd consecutive numbers, seven times the first number is 1 more than six times the greater number. What is the sum of those numbers?

Answers

9514 1404 393

Answer:

  28

Step-by-step explanation:

Let x represent the even number between them. Then the desired sum is 2x.

The given relation is ...

  7(x -1) = 1 +6(x +1)

  x = 14 . . . . . . . add 7-6x

 2x = 28 = sum of those numbers

__

The two numbers are 13 and 15.

The solution is incorrect. HIGHLIGHT the step that does not follow logically from the previous step. Explain why it is incorrect.

Answers

It’s wrong because you put the x and the 3 in parentheses when it’s wrong there

What is the circumference of the circle below? Use the formula C = 2tr.
5 m
A 5 m
B 10T m

Answers

Answer: B

Step-by-step explanation:

The formula for circumference of a circle is 2 pie radius (2πr)

1. radius=5

2 so 2π(5)

3 2x5=10

4. 10π

the answer to this question would be B

I dont get it yall help​

Answers

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is 3 and the y-intercept is at y = 1.

Answer:

y = 3x + b

Step-by-step explanation:

Essentially the question is asking us to find the equation of the line in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and y = y intercept

First let's find the slope

Slope = change in y over change in x

Looking at the line as y goes up 3 x goes up 1

hence slope (m) = 3/1 or just 3

Now let's find the y intercept

The y intercept is equal to the y value of the point where the line passes the y axis

The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1

Hence, y intercept (.b ) = 1

Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line

We get y = 3x + 1.

What is the result when the number 82 is decreased by 8.6%? Round your answer to the nearest tenth.​

Answers

Answer:

74.948

Step-by-step explanation:

Have a nice day

Answer:

74.948

Step-by-step explanation:

To decrease a number by a percentage, we can simply multiply the number by the reciprocal of the decrease.

To decrease 82 by 8.6 % , we can simply multiply 82 by 91.4%……..

82 x .914= 74.948

Rounded to nearest tenth……..74.9

Can anyone help with Qs 22-25 pls !!
Or the ones you are able to do

Answers

24) IN A PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL

3y + 2 = 62

3y = 62 - 2

3y = 60

y = 60/3

y = 20°

ALSO IN A PARALLELOGRAM ADJACENT SIDES SUM IS 180°

62 + 5x + 3 = 180°

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23°

so option c is correct

.

.

.

25) IN A PARALLELOGRAM THE SIDES OF SAME DIAGONAL ARE EQUAL

5x - 4 = 10x - 24

5x - 10x = -24 + 4

-5x = -20

x = 20/5

x = 4

4x + 14 = 3y + 9

4(4) + 14 = 3y + 9

16 + 14 = 3y + 9

30 = 3y + 9

3y = 30 - 9

3y = 21

y = 21/3

y = 7

.

.

.

so option b is correct

I KNEW ONLY THESE BOTH QUESTIONS

Which angle is complementary to ∠X?

Answers

Answer:

Complementary angles sum to 90°.

∠X has ∠P complementary to it as:

P + X = 90°

PLEASE HELP ME I HAVE MINUTES BEFORE MY COMPTER GETS TAKEN AWAY

Answers

47

Step-by-step explanation:

it is a vertical angle

Answer:

47

Step-by-step explanation:

- A way you can answer is to do 180 - 47  which is 133

- Do 180 - 133 = 47.

-So Basically The answer is the opposite (In Simple Terms)

The instruction booklet for a DVD
player says that the player uses about
0.4 kilowatt of electricity per hour. If
electricity costs $0.20 per kilowatt hour,
how much does it cost to run the player
for an hour?

Answers

Answer:

$.08

Step-by-step explanation:

it takes 0.4 per hour and it costs $0.20 per hour so you multiply the two numbers together.

0.4 x 0.20 = $.08

1. Shaded area is 14 cm. Find r to the nearest 0.01 cm.

Answers

Answer:

Step-by-step explanation:

Area of the quarter circle = 1/4 pi * r^2

Area of the quarter circle = 1/4 * 3.14 * r^2

Area of the triangle = 1/2 r * r = 1/2 r^2

Equation of Solution

1/4 3.14 * r^2 = 14 cm^2 + 1/2 * r^2                    Subtract 1/2 r^2 from both sides

0.785 r^2 - 0.5 r^2 = 14 cm^2                           Combine the left

0.285 r^2  = 14. cm^2                                        Divide by 0.285

r^2 = 14/0.285

r^2 = 49.1228                                                     Take the square root of both sides

sqrt(r^2) = sqrt(49.1228)

r = 7.01

Bro do I do not know anything of this

What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.

Answers

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

Answer:

Volume - 452.16 cm

Step-by-step explanation:

First we need to find the area of the circle.

Area of a circle - (3.14)r^2

Insert the radius in the formula -

(3.14) (4)^2

3.14 x 16

50.24 is the area of the circle

Now, we have to multiply this value by the height of the cylinder in order to find the volume.

50.24 x 9 = 452.16 cm

Michael deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 4 years? PLEASE ANSWER QUICK

Answers

Answer:

$960

Step-by-step explanation:

simple interest = [tex]\frac{P R T}{100}[/tex]

= [tex]\frac{4000*6*4}{100}[/tex]

= $960

I = PRT

I = 4000×0.06×4= 960

Interest = 960 dollars

1. Two dice are thrown at the same time . What is the probability that the sum will be 7 or 11 ?

2. A ball is drawn at random from a box containing 6 red balls , 4 white balls and 5 blue balls.
Determine the probability that is red or white.​

Answers

Answer:

1. 0.2222222

2. .6667

Step-by-step explanation:

for question 1

there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222

for question 2

divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)

Answer:

#1

Outcomes with sum of 7:

1 + 6, 2 + 5, 3 + 4, 4 +3. 5 + 2, 6 + 1

Outcomes with sum of 11:

5 + 6, 6 + 5

Total outcomes:

6*6 = 36

Required probability:

P(sum of 7 or 11) = (6 + 2)/36 = 8/36 = 2/9 or 22.22%#2P(red or white) = (6 + 4)/(6 + 4 + 5) = 10/15 = 2/3 or 66.67%
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