You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of the shoe t seconds after it falls off your foot. The shoe lands on the top of an 11-foot-tall building. After how many seconds does the shoe hit the building?

Answers

Answer 1

Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

[tex]y = 300 - 16t^2[/tex]

Required

Solve for t when height is 11ft

This implies that [tex]y = 11[/tex]

So: substitute 11 for y in [tex]y = 300 - 16t^2[/tex]

[tex]11 = 300 - 16t^2[/tex]

Collect Like Terms

[tex]16t^2 = 300 - 11[/tex]

[tex]16t^2 = 289[/tex]

Express both sides as squares

[tex]4^2 * t^2 = 17^2[/tex]

[tex](4t)^2 = 17^2[/tex]

Take square roots of both sides (ignore negative)

[tex]4t = 17[/tex]

Solve for t

[tex]t = \frac{17}{4}[/tex]

[tex]t = 4.25[/tex]

Hence, time to land on 11ft is 4.25 seconds


Related Questions

determine the measure of angle a. PLEASE HELP ASAP!
a.64 degrees
b.45 degrees
c.88 degrees
d.42 degrees

Answers

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

[tex](9x+6)+(74)+(16x)=180\\[/tex]

Let’s solve for x:

Combine LIke Terms:

[tex](9x+16x)+(74+6)=180[/tex]

Add:

[tex]25x+80=180[/tex]

Subtract 80 from both sides:

[tex]25x=100[/tex]

Divide both sides by 25:

[tex]x=4[/tex]

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

[tex]\angle A=9x+6[/tex]

Substitute 4 for x and evaluate:

[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]

Hence, our answer is D.

Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

What is that ??? Lol

Complete the square for the expression, then factor the trinomial.

x^2-4x

please explain how to do it as well! :)

Answers

Answer:

[tex]x {}^{2} - 4x \\ = x(x - 4)[/tex]

What value of x makes this equation true?
15 –
1
2
x = 21

Answers

Answer:

x= -0.5

Step-by-step explanation:

You want to isolate x on one side of the equation

15-12x=21

-15          -15

-12x=6

/-12     /-12

x= -0.5

Carly is doing a science experiment breeding mice. She starts out with 2 mice and they
are supposed to double every week. How many mice will she have after 4 weeks?

Answers

Answer:

16

Step-by-step explanation:

Week one: 2

Week two: 4

Week three: 8

Week four: 16

Every week just multiply the number you have by two and you will get the answer! Hope this helps!

Brielle's bill for brunch at a restaurant was $52. She left a 20% tip. What was the amount of the tip?



The answer should display money. If needed round

Answers

Answer:

$10.4

Step-by-step explanation:

First convert 20% to a decimal. 20% = 0.2

To find 20% of $52, just multiply.

0.2 ($52) =$10.4

Hope this helps. If it does, can I get brainliest? Thanks

I don't have a question i just need brainly points:)
Sooooooooo
Vote as brainlyest!!

Answers

Answer:

Ok

Step-by-step explanation:

Answer:

That's not how you get brainliest haha

Step-by-step explanation:

You get brainliest when you answer a question. If the creator of the question thinks that your answer was great and it helped them, then they can mark it brainliest!

Hope this helps :)

PLEASE HELP URGENT!!!!!!
Tom, Sam and Victor are painting the rooms in their new house. It takes Tom 4 hours to paint one room, but Sam and Victor take 3 hours each. If all of them work together, how long does it take them to paint one room?

Answers

9514 1404 393

Answer:

  12/11 = 1 1/11 hours

Step-by-step explanation:

The total rate is the sum of the individual rates in rooms per hour.

Tom can paint 1/4 room per hour.

Sam and Victor can each paint 1/3 room per hour.

Their total rate is ...

  1/4 +1/3 +1/3 = 11/12 . . . rooms per hour

The rate in "hours per room" is the inverse of this.

It takes them 12/11 = 1 1/11 hours to paint one room.

995² evaluate and answer​

Answers

Answer:

Step-by-step explanation:

995 2 = 990025

Thia is the correct answer

Identify the pattern for the following sequence. Find the next three terms in the sequence. 5, 2, -1, -4, ____, ____, ____,...

Answers

Answer: -7, -10, -13, -15

Step-by-step explanation: It’d changing by a constant difference of -3.

An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.

Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.

Part B. How many hours did the electrician work?

Answers

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

jj

what is the solution for x in the equation?​

Answers

Answer:

3

Step-by-step explanation:

combine like terms (so 1/2 and 3/2): 2 - x = x - 4

add x to both sides: 2 = 2x - 4

add 4 to both sides: 6 = 2x

divide both sides by 2: 3 = x

Describe the change in the graph of the transformation from f to g. f(x) =x^2 + 5 g(x)=(x-6^2 + 5)

Answers

Answer:

need more imformacion

help me someone solve this​

Answers

It’s b because the line passes through the y-axis at 1.

I WILL MARK BRAINIEST
please answer question 5

Answers

Answer:

a = 150

Step-by-step explanation:

The sum of the internal angles of an octagon is 1080°.

[tex]4a+4(120)=1080[/tex] (There are four [tex]120^{\circ}[/tex] and 4 [tex]a^{\circ}[/tex], they sum to 1080°)

[tex]4a + 480 = 1080[/tex]

[tex]4a = 600[/tex]

[tex]a = 150[/tex]

Hope this helps :)

Answer:

a = 150

Step-by-step explanation:

A octagon is 1080 degrees. The half circles are showing which angles are the same. So all the red circles are 120 degrees. To find the green circles, multiply 120 by 4 for the total of the four angles and then subtract it from 1080:

120(4) = 480

1080 - 480 = 600

So 600 is the total of all the green half circles added together, so divide 600 with 4 because there are four green half circles.

600/4 = 150

Use two sets of coordinates to write an equation
to describe the relationship.

Answers

Answer/Step-by-step explanation:

An equation that describes the relationship can be written as [tex] y = mx [/tex].

Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:

[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 [/tex]

Substitute m = 70 into [tex] y = mx [/tex]

The equation would be:

[tex] y = 70x [/tex]

This equation can be interpreted as follows:

The heart's resting rate is 70 beats each minute.

Which of the following equations has infinitely many real solutions?
A. 4x + 1 = x-1
B. 4(x - 5) = 4x – 20
C. 4(x – 5) = 4x + 20
D.4x + 1 = 4x - 1

Answers

B bc it would be 4x-20=4x-20

HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2

Answers

Answer:

corresponding angles

Alternate angle

cointerior angle

SOMEONE PLEASE HELP ME PLEASEEEEEE PLEASEEE!!!
Evaluate the expression



d2 – 3e


if d = 9 and e =5

Answers

Answer:

18-15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Plug in: d = 9, e = 5

(9)2 - 3(5)

9 x 2 = 18

-3 x 5 = -15

18 - 15 = 3

Do you know the answer

Answers

Answer:

y=2x+2

Step-by-step explanation:

The * stands for multiplication.

0*2+2=2

3*2+2=8

6*2+2=14

All of these statements are true, so this should be the correct answer.

z2 + 5z - 3z2 + z
Terms
Like Terms

Answers

The answer is 2z.......

Write 9087,600540 in words in Indian system

Answers

Answer:

Nine Crore Eight Lakh Seventy Six Thousand Five

Step-by-step explanation:

i need help answer it correctly​

Answers

Answer:

(1) when x is 0 y=5/2 and when y is 0 x=5

(2)Graph the points : (0 , 5/2) and (5 , 0)

(3)the slope is   -1/2

Step-by-step explanation:

Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works

compare linear and nonlinear functions

Answers

Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.

I hope this helped :)

Use the information in the graph to answer the following.
What is the verbal description of this transformation?
5)
What is the symbolic representation?

Answers

Answer:

Ff

Step-by-step explanation:

a 6 ounce package costs $2.10 a 16 ounce package costs $5.28 a 26 ounce package costs $9.36 which package is the best buy

Answers

Answer:

The better buy is the 16 ounce package for $5.28.

Step-by-step explanation:

First divide each price with their ounce,so 2.10 ÷ 6 = 2.1 per 1 ounce , 5.28 ÷ 16 = 0.33 per 1 ounce , 9.35 ÷ 26 = 0.36 per 1 ounce.

Next compare the prices for 1 ounce and see which on is lower. The 16 ounce package has a better price because the price for each ounce is lower than the other prices.

r=4/3(p-q)

solve for p

Answers

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[tex]r = \frac{4}{3} (p - q) \\ [/tex]

Multiply sides by 3

[tex]3r = 4(p - q)[/tex]

Divide sides by 4

[tex] \frac{3r}{4} = p - q \\ [/tex]

Add sides q

[tex] \frac{3r}{4} + q = p \\ [/tex]

[tex]p = \frac{3}{4} r + q \\ [/tex]

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p = 3r / 4 + q would be the answer.

. There are 200 different pieces of fruit in a barrel. There are 42 apples, 82 oranges, and 76 pears. Which of the following events have a probability that is less than 0.4? * Select all that apply. A. Randomly selecting an apple B. Randomly selecting an orange C. Randomly selecting a pear D. Randomly selecting an apple or an orange E. Randomly selecting an apple or a pear F. Randomly selecting an orange or a pear

Answers

Answer:

A and C

Step-by-step explanation:

42/200 = .21

76/200 = .38

Answer:

Apples and Pears

Step-by-step explanation:

21 % = Apples

41 % = Oranges

38 % = Pears

Probablity of less than 40% = pears and apples

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

4. Line r is mapped onto line m by a dilation centered at the origin with a
scale factor of 4. The equation of line r is 6x – 3y = 12. What is the
equation for line m?

Answers

3x - y = 8

Step-by-step explanation:

Since, if a line having points represented by (x,y) is dilated about origin with a scale factor k,

Then the coordinates of the dilated line is obtained by the rule,

Here, line L is,

3x - y = 4

The x-intercept and y-intercept of line L are (4/3,0) and (0,-4) respectively,

If the line L is mapped onto line M by a dilation centered at the origin with a scale factor of 2,

Then by the above definition,

The points of the line M are,

(2×4/3, 2×0) and (2×0, 2×-4) ⇒ (8/3,0) and (0,-8)

Hence, the equation of line M passes through the points (8/3,0) and (0,-8)

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