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

Look at the question below

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Choice A has a greater COP

:)

(HALP ILL GIVE BRAINLY AND IS A MULTIPLE CHOICE) no links or I will report

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Answer: the correct answer is answer (4) (2,4)

Step-by-step explanation:

I hope you get it right :)

“Find the slope and y-intercept of the linear graph” please help I’ll mark brainliest!!

Answers

Y intercept: 2
Slope: 2/-3
(Im sorry if im wrong)

Plz Help!! NO LINK or REPORTED

Answers

I don’t know for sure but please let me know :)

the cost of equal-priced DVD and the number purchased

Answers

Answer:

Linear relationship

Step-by-step explanation:

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Un número decimal periódico mixto es un número irracional.

Answers

Answer:

Step-by-step explanation:

decimal periodico mixto es un decimal en el que al menos uno de los dígitos después del punto decimal no se repite y algunos dígitos se repiten .

Estos decimales son racionales

Los que no se repiten y no se treminan son irracionales

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Answer:

Call child abuse

Step-by-step explanation:

so you dont die kid

Answer:

2,3

4,3

3,3

4,5

5,4

6,7

8,8

8,9

Solve the equation 2.2x=3

Answers

it would be 15/11 but the better answer it would be 1 4/11

Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )

At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3

Answers

120 is the answer u neee to multy 7and 99

Will give brainliest! I need serious help with this

Answers

Answer:

A. Base edge

B. Lateral edge

C. Height

D. Base

E. Lateral face

I would appreciate Brainliest but no worries.

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?​

Answers

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

Happy Paws charges $20.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $10.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answers

Answer:

8 hours

Step-by-step explanation:

Create an equation that sets the costs equal to each other, where h is the number of hours

3.5h + 20 = 4.75h + 10

Solve for h

3.5h + 20 = 4.75h + 10

20 = 1.25h + 10

10 = 1.25h

8 = h

So, it will take 8 hours for the costs to be equal

Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v

Answers

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

help mee !!!
The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Show all work

Answers

Answer:

72

Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches

Can someone please help me :) ❗❗❗❗❗​

Answers

Answer:

the third option

Step-by-step explanation:

when X is negative f(x) is positive. and when f(x) is negative x is positive

If x = 8, what is the value of x(17 - x)?

Answers

Answer:

72

Step-by-step explanation:

all we have to do, is subsitute 8 whenever we see an x in the equation

x(17-x)

8(17-8)

8(9)

=72

Answer:

QUESTION:

If x = 8, what is the value of x(17 - x)?

ANSWER:

x( 17 - x) = ?

8( 17 - 8) = ?

8 X 17 = 136

8 X (-8) = -64

Final answer:

136 - 64 = 72

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.

Equation: 4x2+8x+7=4

Solution: Answer
and

Answers

Answer:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

Step-by-step explanation:

Subtract 4 from both sides:

[tex]4x^2+8x+7-4=4-4[/tex]

Simplify:

[tex]4x^2+8x+3=0[/tex]

Solve with the quadratic formula:

[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]

[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]

Separate the solutions:

[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]

The solutions to the quadratic equation are:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

Find X
Please and thank you!

Answers

x=28

Step-by-step explanation:

angle bisector splits the angle through the middle

so we can say both equations are equal so you can solve 2x-15=1x+13

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt\red{G \: I \: V \: E \: N}}}} : [/tex]

JM is an angle bisector of ∠ ZJF.∠ ZJM = (2x - 15)° , ∠ MJF = ( 1x + 13 ) °

❅ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I \: N\: D}}}}} : [/tex]

Value of x

☄ [tex] \underline{ \underline{ \large{ \orange{ \tt{S\: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]

~Set up an equation & solve for x :

☃ [tex] \large{ \bf{(2x - 15 ) \degree= ( 1x + 13) \degree }}[/tex]

[ Since JM is a angular bisector of ∠ ZJF , ∠ ZJM = ∠ MJF ]

~ Move 1x to left hand side and change it's sign. Likewise , Move 15 to right hand side and change it's sign

⟶ [tex] \large{ \bf{2x -1x = 13 + 15}}[/tex]

⟶ [tex] \boxed{ \large{ \bf{x = 28 \degree}}}[/tex]

☂ [tex] \boxed{ \boxed{ \underline{ \underline{ \large{ \bold{ \pink{ \tt{Our \: Final \: Answer : \boxed{ \bold{ \red{x = 28 \degree}}}}}}}}}}}[/tex]

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♪ [tex] \underline{ \underline{ \text{HAVE \: A \: WONDERFUL \: DAY / \: NIGHT}}}[/tex]♕

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convert the unit. of length​

Answers

Answer:

50688

Step-by-step explanation:

thats all i got sorry if thats wrong but i hope this helps.

can someone please help me with this one?

Answers

Answer:

12=0.5d-g or g=0.5d-12

Step-by-step explanation:

12 gallons

1/2 gallon a day

g gas

d days

g=0.5(5)-12

2.5-12

9.5 gallons after 5 days

If i have 2 lemons and i give 1 away. how many do i have now?

Answers

1 lemon?

.....................................

What is the value of W?

Answers

Answer:

w=5

Step-by-step explanation:

firstly angle SUT and angle SUV are congruent, hence:

w+10=3w

10=3w-w

10=2w

10/2=w

5=w

Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is shown below. a. What is the area of the family room in square feet? b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You will need to convert the area in Part a from square feet to square inches.) c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter have to buy to tile the family room?

Answers

Answer:

146 ft²

21.6 tiles

1.8 boxes

Step-by-step explanation:

Please find attached an image of the family room used in answering this question

the family room has the following shapes : 2 triangles and one rectangle

the area of the family room can be determined by calculating the area of each of the shape and adding the 3 areas together

area of a rectangle = length x breadth

16 x 7 = 112 ft²

Area of a triangle = 1/2 x base x height

Area of the smaller triangle = (1/2) x 4 x 3 = 6 ft²

Area of the bigger triangle = (1/2) x 8 x 7 = 28 ft²

Sum of the areas = 112 + 6 + 28 = 146 ft²

b.

1. First convert the area of the room to inches

1 ft = 12 in

146 x 12 = 1752 in²

2. the next step is to determine the area of the tile

area of a square = length²

9² = 81 in²

3. Divide the area of the room by the area of the tile

1752 / 81 = 21.6 tiles

c. total number of boxes that would be bought = 21.6 /12 = 1.8 boxes

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DO NOT SEND ME A LINK FOR THE ANSWER
(giving 15 points)

Answers

Answer:

Go on your app store on your phone

Step-by-step explanation:

Download photo math and it will answer all that, check my previous answers if you don't believe me. I'm telling the truth

A 1.5m tall boy casts a 3m shadow. Calculate the height of a tree that simultaneously casts an 8m shadow.

Answers

If 1.5m boy makes a 3m that means it doubled. A 8m tree can probably be 16m

Find the domain of the relation:
{(-3, -4), (-1, 2), (0, 0), (1, 3), (5, 4);
0 (-3,-1, 0, 1,5)
O {-4, 0, 2, 3, 43
{-4, 2, 3, 43
O {-4, -3, -1, 0, 1, 2, 3, 4, 5}

Answers

the domain is -3, -1, 0, 1, 5

.Find -23+57 and 57+-23

PLZ ANSWER WITH FULL EXPLANATION

Answers

Answer:-23+57=34  and 57 + -23 =34

                                                                                                       |    

Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80

regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .

TOP QUESTION^^ ILL GIVE BRAINLIEST

Answers

Answer:

Please read below:

Step-by-step explanation:

To calculate the area, you'll need πr². In this case, 3.14 * r²

If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B

Hope this helps :)

question on picture:

Answers

Answer:

Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))

Step-by-step explanation:

Answer:

B. 34

Step-by-step explanation:

sohcahtoa

tan x = 100/150

tan x = .667

x = 33.7

In the diagram below of triangle GHJ, K is a midpoint of GH and L
is a midpoint of HJ. If K L = 7x – 55, and GJ = 40 – X, what is
the measure of GJ?
H
K
L
G
J

Answers

7x-55/40-x = 1/2
14x-110 = 40-x
15x = 150
x = 10
GJ = 40-x = 40-10 = 30
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