A quarter falls off a building that is 144

feet tall. If the equation for height as a

function of time is

h(t) = -16t2 + initial height where t is

time in seconds and h(t) is height in

feet, how many seconds will it take for

the quarter to hit the ground?

Answers

Answer 1

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.


Related Questions

Indicate whether the function represents an exponential growth or decay.

Answers

Answer:

1) decay

2) growth

3) growth

Step-by-step explanation:

A generic exponential function can be written as:

f(x) = A*(r)^x

Where:

A is the initial amount of something.

r is the rate of growth.

x is the variable, usually, represents time.

if r > 1, we have an exponential growth.

if r < 1, we have an exponential decay.

1) f(x) = (3/4)^x

in this case we have:

A = 1

r = (3/4) = 0.75

Clearly, r < 1.

Then this is an exponential decay.

2) f(x) = (1/6)*4^x

In this case we have:

A = (1/6)

r = 4

Here we have r > 1.

Then this is an exponential growth.

3) f(x) = (1/4)*(5/2)^x

in this case we have:

A = 1/4

r = 5/2 = 2.5

here we have r > 1, then this is an exponential growth.

PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT

Answers

Answer:

False

Step-by-step explanation:

It is false because the graph of [tex]y=x^{2}[/tex] does not passes through the point [tex](16,4)[/tex].

x = 16

y = 4

Substitute

[tex]4=16^{2}[/tex]

[tex]4=256[/tex]

Since 4 is not equal to 256, the answer is false.

Answer:

i hope this helps because i have a dog too and it is a husky that is one-years-old. oh and it is false

Step-by-step explanation:

4≠224. ∴The functions whose graphs include the point (16, 4) is y = x−12.

a fruit company delivers its fruit in two typed of boxes: large and small. A delivery of 2 large boxes and 3 small boxes has a total weight of 72 kilograms. A delivery of 6 large boxes and 5 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?

Answers

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
2
large boxes and
3
small boxes has a total weight of
83
kilograms. A delivery of
4
large boxes and
8
small boxes has a total weight of
197

i know mia is right but what’s the explaining?

Answers

Answer:

Just explain why you chose mia..

Step-by-step explanation: Why do you think mias right?

Answer:

Mia is right

Step-by-step explanation:

But the reason is because y=4+6x mark is going over the line and he needs to make sure its accross.

How many integers satisfy each inequality?
-102

Answers

Answer:At integers -2 and -3 the value of the equation is zero, hence satisfies the inequality. So overall 4 integers satisfy the inequality.

i got 1 2 3 4 5 6 7 8 ems in my bank account

Step-by-step explanation:

If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan θ

Answers

Answer:

C) √3

tanθ = √3

Step-by-step explanation:

Step:-1

Given that  θ be an angle in standard position whose terminal side

Given that the angle

                 sinθ = [tex]\frac{-\sqrt{3} }{2}[/tex]

Given that the Opposite side  AB = [tex]\sqrt{3}[/tex]

                        Hypotensue     AC = 2

Step(ii):-

By using Pythagoras theorem

                        AC² = AB² +BC²

                        BC² = AC² - AB²

                       BC²  = 4 - (√3)²

                               = 4-3

                         BC = 1

    Adjacent side(BC)  = 1

Step(iiI):-

Given that 'θ' lies in the third quadrant so tanθ is positive

                     tanθ = [tex]\frac{AB}{BC} = \frac{\sqrt{3} }{1}[/tex]

                       

Answer:

b. -1/2

Step-by-step explanation:

:)

What was the temperature in the city with an elevation of -9?

Answers

Answer:

7(u will trace the _9 in x axis to y axis where the blue dot is the value there will be our answer and that is 7)

Which of the following statements are true? (Select all that apply)

Correlation coefficients are negative when the relationship is weak and positive when they are strong.

Correlation coefficients show the relationship of the x and y values.

Correlation coefficients can be any value less than 1 or greater than −1.

Correlation coefficients show the x and y intercepts of the best fit line.

Correlation coefficients can be represented by the variable r.

Answers

Answer:

a and c I'm 99percent shure

Dima’s mom went to the bakery and bought 18 donuts. 1/2 of the donuts were chocolate. Dima‛s family ate 1/3 of the chocolate donuts but didn‛t eat any other kind. What fraction of the donuts did they eat?

Answers

Answer:

They ate 1/6 of the donuts

Step-by-step explanation:

They bought 18 donuts. 1/2 of 18 is 9. 1/3 of 9 is 3. To find the fraction, divide 3 by 18. Simplify the fraction. You are left with 1/6.

Solve the equation. 7x = 3x^2 - 1

Answers

Answer:

Step-by-step explanation:

Answer:

If you still need help search up Mathaway it gives u the answer to all your problems and it gives a step by step explination

Step-by-step explanation:

Subtract

3

x

2

from both sides of the equation.

7

x

3

x

2

=

1

Add

1

to both sides of the equation.

7

x

3

x

2

+

1

=

0

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

Substitute the values

a

=

3

,

b

=

7

, and

c

=

1

into the quadratic formula and solve for

x

.

7

±

7

2

4

(

3

1

)

2

3

Simplify.

Tap for more steps...

x

=

7

±

61

6

The final answer is the combination of both solutions.

x

=

7

+

61

6

,

7

61

6

The result can be shown in multiple forms.

Exact Form:

x

=

7

+

61

6

,

7

61

6

Decimal Form:

x

=

2.46837494

,

0.13504161

Chloe wants to give her apartment a more elegant look, so she decides to make drapes for her 6 windows. She plans to make 2 drapes for each window. Each drape will be 84 inches long. How many yards of fabric should she buy for her new drapes?​

Answers

Answer:

84 yards

Step-by-step explanation:

1008 inches converts to 84 yards

Can someone help me? I'll reward points + brainalist

Answers

The answer for the following question is 12

as

Circumference of the circle = 2TTr

= 2 x 22/7 x 12

= 44 / 7 x 12

= 75.4285714286

What are the values of the function when x=0 and when x=4?

Answers

Answer:

0 and h4

Step-by-step explanation:

Value of function when x=0 is 10 and at x=4 is 16.

What are the values of the function?

The value of a function, given the value(s) allocated to its argument(s), exists as the quantity assumed by the function for these statement values.

Function value may direct to: In mathematics, the value of a function when involved in an argument.

Analyzing the piece wise function

when x is between 0(including) and 4(excluding), the function behaves as:

[tex]h(x)=2x^{2} -3x+10[/tex]

put x=0:

[tex]h(0)=2(0)^{2} -3(0)+10=10[/tex]

when x greater than equal to 4, the function behaves as:

[tex]h(x)=2^{x}[/tex]

put x=4:

[tex]h(4)=2^{4} =16[/tex]

Therefore, values are 10 and 16 respectively.

To learn more about values of the function refer to:

https://brainly.com/question/12507191

#SPJ2

Helpheheehhedhhdhdhuahdhdh

Answers

Answer:

2.9

Step-by-step explanation:

.05 rounds up.

2.9

Tenth place: here’s an example
3.15 rounded to tenth would be 3.2

Now 2.859 would be 2.9
The solution is C

For each geometric sequence, write a recursive rupe by finding the common ratio by calculating the ratio of consecutive terms. Write an explicit rule for the sequence by writing each term as the product of the first term and a power of the common ratio.​

Answers

Answer:

3

Step-by-step explanation:

What is the area of ​​a rectangle that is 6 inches long by 1/12 inch wide?

Answers

A = lw

A = (6)(1/12)

A = 1/2

i need a reduced mixed number from 12(x-6)=2(x-9)

Answers

Step-by-step explanation:

12×x-12×6=2×x-2×9

12x-72=2x-18

12x-2x= -18+72

10x = 54

x =54/10

x = (5)\4/10

Three boards are placed end to end to make a walkway. The first board is 2 feet 6 inches long, the second board is 3 feet 2 inches long, and the third board is 5
eet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

Step-by-step explanation:

TALA RHYTHMIC PATTERNS

ACTIVITY 2: LET'S DO TALA

kind of membranophones/percussion instruments found at home for tapping. Record your

Directions: Perform the following tala rhythmic patterns using the given legend. Use any

performance using any recorder and send it to your

INSTRUMENTS AT HOME

MANJIRA

TIN CANS

1 2 3 4 5 6

х

1 2 3 4 5 6 7 8 9 10 11 12

GHATAM

PAL

X

х

0 X

TABLA

1 2 3 4 5 6 7 8 9 10

BOX

x xox

Answer:

11 feet 3 inches

Step-by-step explanation:

1 feet = 12 inches

Add up the lengths:

2 ft 6 in + 3 ft 2 in +5 ft 7 in

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

10 ft 15 in = 10 ft + 12 in + 3 in = 10 ft + 1 ft + 3 in = 11 ft 3 in

SOMEONE PLEASE HELP IM STUCK AND ITS MY LAST QUESTION

Answers

Answer:

Theta=60

Step-by-step explanation:

Lets start to get the value of x in [tex]sin(x)=\frac{1}{2}[/tex]

Just do the opposite which is [tex]sin^{-1}(\frac{1}{2}) = 30[/tex]

So [tex]sin(30)=\frac{1}{2}[/tex]

Still we got only the value of x not theta then

The value of x = theta/2

Theta/2=30 multiply each side by 2

Theta = 60

Need a little help with this one problem! All help appreciated!

Answers

Answer:

A. Magic carpets

B. Carpet Brites

C. Carpet Brites

Step-by-step explanation:

70 x 15 = 1050 + 10 = 1060

60 x 15 = 900 + 30 = 930

the percent change from 50 to 43

Answers

Hi, i believe it’s 7%. because 50-43= 7

Answer:

its not 7% btw

Step-by-step explanation:

Alex went to the grocery store and bought 1 pound of oranges, 0.75 pounds of bananas, and 1.255 pounds of apples. How much did all of his produce weigh?

Answers

Solontendras qie dividir  075  liego 1255 y tines que saber cuento. Pesa una libra

In one survey, the sizes of women we distributed normally about the mean, the mean of the data is 7, and the standard deviation is 1.5. about what percent of the women are between a 5.5 and 8.5 shoe size?


68%
34%
80%
15%​

Answers

Answer:

it's 68%

just did the homework lol

HELP PLSSSSSSSSSSSSS Carin is going to paint walls of her room green. The green paint is too dark so she mixes it with white paint. She tries different mixtures. Which of the following will give the darkest green color?
A. 1 part green + 3 parts white
B. 2 parts green + 6 parts white
C. 3 parts green + 9 parts white
D. 4 parts green + 12 parts white
E. They will all be equally dark.

Answers

E. They will be equally dark because when all of those fractions are simplified they equal 1/3

Please help I will give brainliest:) hurry! Answer carefully plss

Answers

Y = -3x^2 +4 is the answer to this problem

felixs total credit card balance is described by the following function f(p)=p(1.30). if felix owes 2500, what is the total bill plus interest

Answers

Given:

Felix's total credit card balance is described by the following function

[tex]f(p)=p(1.30)[/tex]

To find:

The total bill plus interest if Felix owes 2500.

Solution:

We have,

[tex]f(p)=p(1.30)[/tex]

Where [tex]p[/tex] is the amount Felix owes.

Putting [tex]p=2500[/tex] in the given function, we get

[tex]f(2500)=2500(1.30)[/tex]

[tex]f(2500)=3250[/tex]

Therefore, the total bill plus interest is 3250.

What is the actual height of the building shown in the model?

Answers

Answer:

The actual height is 150ft

Step-by-step explanation:

Given

[tex]Width : Height = 2cm : 5cm[/tex]

[tex]Actual\ width = 60ft[/tex]

Required

Determine the actual height

Substitute 60ft for width in: [tex]Width : Height = 2cm : 5cm[/tex]

[tex]60ft:Height =2cm:5cm[/tex]

Express as fraction

[tex]\frac{60ft}{Height} =\frac{2cm}{5cm}[/tex]

[tex]\frac{60ft}{Height} =\frac{2}{5}[/tex]

Make height the subject

[tex]Height = \frac{5}{2} * 60ft[/tex]

[tex]Height = 5 * 30ft[/tex]

[tex]Height = 150ft[/tex]

Answer:

Step-by-step explanation:

1 cm represents 30 ft

height of building = 5 cm × 30 ft/cm = 150 ft

In a baseball card collection, 40% of the cards are worth more than $100. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?

Answers

Answer:

30

Step-by-step explanation:

Total number of cards = number of cards worth more than 100  divided by the rate of those cards among total cards = 12/40% = 30


Stevie bought a bag of lollipops. The bag contained 30 lollipops and 6 of them were grape flavored. What percent of the lollipops were grape flavored?​

Answers

The answer to your question is 20%

??????????????????????????

Answers

The answer is 12 if you want me to explain reply to this comment

Answer

I believe it is 1/12

Step-by-step explanation:

as it is 24 ft tall, and then the model is 2 ft tall

22 ft is subtracted

so basically for every 12 ft one is added to the model

so 1/12 should be the ans

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