A ball is dropped from a height of 20 feet. It hits the ground and bounces up half as high as it fell. This is true for each successive bounce. What height does the ball reach on the fourth bounce

Answers

Answer 1

Answer:

1.25 m

Step-by-step explanation:

Given that :

Initial height of drop = 20 meters

Rebound after each drop = 1/2 of height

Height after 4th rebound = 5th term of a geometric series

An = a1 * r^(n-1)

a1 = first term = initial drop height

r = common ratio = ratio of rebound per drop = 1/2 = 0.5

A5 = 20 * 0.5^(5 - 1)

A5 = 20 * 0.5^4

A5 = 20 * 0.0625

A5 = 1.25 m

Hence height after 4 reboubd = 1.25 m

Using another method :

1st bounce height = 20 * 0.5 = 10

2nd bounce height = 10 * 0.5 = 5

3rd bounce height = 5 * 0.5 = 2.5

4th bounce height = 2.5 * 0.5 = 1.25


Related Questions

I need help with this as fast as possible thanks bye

Answers

Answer:

153.9

Step-by-step explanation:

You use the formula πr^2 for the area, where r is the radius of the circle which is equal to half the diameter

Which characteristics best describe an acute isosceles triangle

Answers

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway?

Answers

Answer: 18 miles west

Step-by-step explanation:

The mall is west of the highway.

The hospital is then west of the mall.

If the hospital is west of the mall which is already to the west of the highway, the Hospital must be west of the highway as well.

The hospital is 12 miles west of the mall which is then 6 miles west of the highway. As they are both west, it is a continuous distance and we can simply add their distances up and assume the distance is linear.

The distance between the hospital and the highway is therefore:

= 12 + 6

= 18 miles west

Solve each of the following equations

Answers

Look at the photo I’ve attached

Answer this question to get marked as brainliest!!!

Answers

It would be b, c, d, e, and h

A university has 40,110 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages. The expected number of students at the university who speak three or more languages is .

Answers

40110 : 210= 191
191 x 14 = 2674
2674 people can speak three or more languages

Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?

Answers

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

What is 23 fl oz = ______ c

Answers

Answer:

2.875c

Step-by-step explanation:

What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100

Answers

Weißt du Deutsch, ich kann vielleicht helfen

For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.

Answers

Answer:

I havn't gotten c and d yet, but:

a) They are similar because of the Angle Angle Theorem

b) JN=4ft

in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19

Answers

Answer:

b) 13

Step-by-step explanation:

67 - 55 = 12

55 - 46 = 9

46 - 34 = 12

34 - 25 = 9

25 - x = 12

rearrange that so,

25 - 12 = x

x = 13

Answer:

b) 13

Step-by-step explanation:

67 - 12 = 55

55 - 9 = 46

46 - 12 = 34

34 - 9 = 25

pattern: subtract 12, subtract 9

the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:

25 - 12 = 13

What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?

Answers

Answer:

Wednesday

Step-by-step explanation:

Friday is the day before the day before yesterday

Saturday is the day before yesterday

Sunday is yesterday

Monday is today

Tuesday is tomorrow

Wednesday is the day after tomorrow

Answer:

i cant seem to find ur anwser it seems confusing

Step-by-step explanation:

it is confusing

Out of 28 cookies, 3/4 are chocolate chip. How many cookies are chocolate chip?

Answers

21 out of 28 cookies are chocolate chip

Answer:

21 cookies

Step-by-step explanation:

28 x 3/4 =

28 / 4 x 3 =

7 x 3 = 21

Hope that helps!

I -9I = ____
HELP HELP ME ME ASAP PLEASE

Answers

Answer:

9

Step-by-step explanation:

l l means absolute value

the absolute value of any negative number is the same number but positive

so the absolute value of -9 is positive 9

Answer:

9

Step-by-step explanation:

Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

C. The initial amount of money in the account

Answer:

C

Step-by-step explanation:

250 represent the amount of money that they started off with

1.05 represent how much the money in the account is increasing by

and x represent the amount of months that have passed

Solve for x. 5:1::6:x

Answers

Answer:

Step-by-step explanation:

5/1 = 6/x

5x = 6

x= 6/5

Answer:

x

=

15

Step-by-step explanation:

Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?

Answers

Answer:

3084 sq. ft

Step-by-step explanation:

for the first three rooms,

area= 6l² = 6× 17² = 1734

for the next two rooms,

area= 6l² = 6×15² = 1350

total area = 3084

Max picked out an old Star Wars puzzle to put together. Out of the 250 pieces, he was missing 15.
What percentage of the pieces was he missing?

Answers

Answer:

ummm... like 6% Convert fraction (ratio) 15 / 250 Answer: 6%

Step-by-step explanation: i have brain i use it some times

help answer both plz!

Answers

Answer:

3.6666 (I didn't round)

Repeating decimal

Step-by-step explanation:

We know that

2/3

is the same as

2÷3

Therefore:

3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666

A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.

A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.

Hope this helped.

Someone help and plz make sure it’s right plz! :)

Answers

Answer:

-21/4

Step-by-step explanation:

slope = y2-y1/ x2-x1

-18 - 3 / 17-13 = -21/4

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answers

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°


[tex] x - 25 = 0[/tex]

Answers

The answer is 25

25-25=0
the answer is x = 25

in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51

Answers

Your answer is:

C)  53

THANK YOU!!

Sidhdi


The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

Enter the value for that makes the given equation true.

20−5(6+4)=4−6

Answers

Answer:

hi, there is no variable

Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)

Answers

Answer:

B

Step-by-step explanation:

They both equal 121

The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?

Answers

Answer:

your answer will be A)719 units²

Step-by-step explanation:

hope it helps ^_^

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

it a

Step-by-step explanation:

Answer:

A (7)

Step-by-step explanation:

9w = 63

9 x 7 is 63,

9 x 6 = 54,

9 x 8 = 72,

9 x 9 = 81,

Please someone help me with this... and please thouroughly explain, i have no clue what to do.

Answers

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

What is the slope and y-intercept of the line y = 3x - 7?
Group of answer choices

The slope of the line is -7, and the y-intercept is (0, 3).

The slope of the line is 3, and the y-intercept is (0, -7).

Plz help ASAP!!!!
The slope of the line is -3, and the y-intercept is (0, 7).

The slope of the line is 7, and the y-intercept is (0, -3).

Answers

Y = mx + b
m = slope, b = y intercept
Given m = 3, b = -7
The slope is 3
The y intercept is (0,-7)
hello!

[tex]==================================[/tex]

the given equation is written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the slope of the line

[tex]\pmb{b}[/tex] is the y-intercept of the line

in order to determine the slope & the y-intercept, just look at the equation:

[tex]\pmb{y=3x-7}[/tex]

slope: [tex]\pmb{3}[/tex]

y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])

[tex]===================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

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