a penny is dropped from a height of 144 ft. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 16t^2 - 144.
answers
t = 9seconds
t = 3 seconds
t = 18 seconds
t = 10 seconds ​

Answers

Answer 1

Answer:

The time of fall is 9 seconds

Step-by-step explanation:

We are asked to find the time between when the penny was dropped and when it landed.

To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.

From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by

[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1

in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax

Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0

We can now differentiate equation 1 above to get

h max  = 16t - 0 ------------- equation 2

recall that h max = 144

plugging the value of h max into equation 2, we have

144 = 16t

t = 9 seconds

Therefore the time of fall is 9 seconds

Answer 2

Answer:

t= 3 seconds

Step-by-step explanation:

I took the quiz and this is the answer


Related Questions

15 = 5(x +2 )

x=

ill mark brainliest and 20 points

Answers

Answer:

x=1

Step-by-step explanation:

15 = 5(x +2 )

15/5= 3

3-2= 1

x=1

Tome walks 1/3 of a mile in 1/4 of an hour. At this rate, how many miles will Tom walk in 1 hour?

Answers

Answer:

2 miles i think

Answer:

In 1 hour, he'll walk 4/3 miles

Step-by-step explanation:

Ratios:

[tex]\frac{1/3}{1/4} =\frac{x}{1} \\\\\frac{1}{4} x=\frac{1}{3} \\\\x=\frac{4}{3}[/tex]

helppp!!!!!! :(((((((((((((((((((((((((((((

Answers

Answer:

= <><=>=<>=<<

Here, is the answer of comparison

what two numbers multiply to 30 and add up to 11

Answers

Answer:

-5 and -6

have a great day:)

Just to review, probability can be written as....

Answers

Answer:

Percentage

Step-by-step explanation:

The higher the probability number or percentage of an event, the more likely is it that the event will occur. If an event has only one possible outcome, the probability for this outcome is always 1 (or 100 percent).

HELP ASAPPP Pls
———————-
In a state, one town is 250 feet above sea level and another town is 30 feet below sea level. what is the difference in elevations?
(NO LINKS OR ILL REPORT)

Answers

The difference in Elevation is 280

Answer:

Im not so good at math but if you need help I suggest math    way.... Never fails me anyway

Step-by-step explanation:

Oops sorry no links;) :-P

-5x - 2y = 18 in slope intercept form.

Answers

Answer:

y=-5/2x-9

Step-by-step explanation:

I hope this helps

Mrs. Smith wants to cover her garden with dirt. She measured half the garden's length at 6 feet long. How many square feet will Mrs. Smith need to cover?

Answers

Answer:

Missing information

Step-by-step explanation:

We aren't told the width or the shape of the garden so its not possible for me to answer this, however I can tell you the length of the garden.

6ft = 1/2x

x = 12ft

The garden is 12ft long, if you would like further help with this question please provide me with all the information to this problem.

Please mark brainliest if this helped!

Please mark brainliest if this helped!

I have alot of questions and I need help with a practice quiz ​

Answers

ok imma help u just it should not be chem

okay! ill help, what subject ??

True or false 73x=37x

Answers

Answer:

x = 0

Step-by-step explanation:

I NEED HELP ITS DUE AT 9

Answers

120 for the first
30 for the second
so uhhh
150 in^3

Can you please help me

Answers

Answer:

there is the answer. ❤ hope it helps

Please help I need to do this

Answers

Answer:

4:

b) f(-1) = 0.50; f(-2) = 0.25; f(-3) = 0.125

c) Graph is attached -but you will need to do this by hand on the blank graph on the assignment.

5:

a) Increasing, y-intercept at (0, 125)

b) Decreasing, y-intercept at (0, 22)

c) Increasing, y-intercept at (0, 256)

Use the function below to find F(1).

F(t) = 2•1/2^3t


Please Help

Answers

Answer:

C. 1/4

Step-by-step explanation:

2 * 1/2^3t

substitute 1 for t so it would be:

2 * 1/2^3 = 2 * 1/8 = 2/8 = 1/4

A certain 32 cm spring will stretch (in cm) one-half the weight (in kg) attached to it. How long wilt the spring be if a 26 kg weight is attached to it?

Answers

67 I think or 32! Lol

Find the length of each arc. Round your answer to the nearest tenth

Answers

I think the answer is B

Factor each expression completely
4x² + 6x – 40
Show your work!!!

NO LINKS PLS

Answers

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

= 2(x+4)(2x-5)

Step-by-step explanation:

i hope this helps :)

A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week?
AO 40 - 406.005)
B.O 406.05)'
C.O 400.95)
DO 406.995)'

Answers

The answer is c i done it

The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle​

Answers

Answer:

2471.81

Step-by-step explanation:

Let I be the interest, r the annual rate and P the principal. Then:

I = P(r)^2 = 5460

I = P(r)^4 = 12060.6

so r^2 = P(r)^4 /  P(r)^2 = 12060.6/5460

r^2 = 2.2089

r = 1.486

So  P(r)^2 = P* 2.2089 = 5460

P = 5460 / 2.2089 = 2471.81.

what is the midpoint of AC on the grid below​

Answers

Answer:

(-1,1)

Step-by-step explanation:

Answer:

-1 , 1

Step-by-step explanation:

I need help with this last question!!!!

Answers

••••••••••••••••••••••••••••••••••• it would be 43

Answer:

h=43

Step-by-step explanation:

t=35

35/5 =7

50-7 =43

c)
(-6, 3)
d) (-3,0)
cion...
What will be the new position of the given point (9,-4) after reflection across
the line x = 1?
ractice
a)
(7,4)
b) (7,-4)
c)
(-7,-4)
d) (-7,4)
Tr...
aze
I
Transform...
MazeNo Key

Answers

Answer:

c)

(-6, 3)

d) (-3,0)

cion...

What will be the new position of the given point (9,-4) after reflection across

the line x = 1?

ractice

a)

(7,4)

b) (7,-4)

c)

(-7,-4)

d) (-7,4)

4y - 18 = 20
Y=
PLEASE HELP!!!!!!!

Answers

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Evalue without using a calculator

Answers

Answer:

square root of 2

Step-by-step explanation:

22. Dante rides his bicycle due west at 10 miles per hour. Annie rides her bicycle due north
at 12.5 miles per hour. If they both leave Annie's house at the same time, approximately
how far apart, in miles, are they after 4 hours?
A
16
B.
23
C. 64
D. 90

Answers

C in my opinion
#CarryOnLearning

Harrison started a part-time job in order to pay for his gas to get to school and work. His job pays $9.50 per hour. His school has a rule that states that students cannot work more than 15 hours per week. He needs to earn at least $28.50 per week to pay for his gas. A. Write a function f(h) describing how much he will earn as a function of h hours worked. B. Based on the parameters described in the problem, what are the domain and range of the function rounded to the hundredth

Answers

f (15) = $142.50

i hope this help you!

We know that:

Harrison gets $9.50 per hour of work.

He can work a maximum of 15 hours per week.

He needs to earn a minimum of $28.50 per week.

A) We want a function f(h) that tells how much he wins in a week if he works h hours.

So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:

f(h) = $9.50×h

B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).

We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:

$9.50×h = $28.50

h = ($28.50)/($9.50) = 3

Then we can conclude that the domain is:

D = [3, 15]

To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:

f(3) = $28.50

f(15) = $142.50

Then the range is:

R = [$28.50, $142.50]

If you want to learn more, you can read:

https://brainly.com/question/9446123

What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?

Answers

Given:

Let us consider,

Length of a rectangular prism = 8 inches

Width = [tex]6\dfrac{3}{4}[/tex] inches

Height = [tex]5\dfrac{1}{4}[/tex] inches

To find:

The volume of the rectangular prism.

Solution:

The volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting the given values, we get

[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]

[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]

[tex]V=\dfrac{567}{2}[/tex]

[tex]V=283.5[/tex]

Therefore, the volume of the rectangular prism is 283.5 cubic inches.

help me please and thanks!!!!

Answers

Answer:

The answer is B.

Step-by-step explanation:

so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.

24. Two trapezoids have areas of 432 cm and 48 cm. Find their ratio of similarity
A 3:1
B. 9:1
C. 1 3
D 1.9

Answers

Answer:

9:1

Step-by-step explanation:

432/48=9

9:1

A rectangular blanket is 4 times as long as it is wide. Its width is 8 yards. What is the area of the blanket?​

Answers

Answer:

The area is 256

Step-by-step explanation:

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