A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?

Answers

Answer 1

Answer:

20feet

Step-by-step explanation:

Initial height of the ball = 8feet

If it bounces 60% of its previous height, its new height will be;

60% of 8

= 60/100 * 8

= 480/100

= 4.8 ft

If it bounces 60% of its current distance, new height will be expressed as;

60% of 4.8

= 0.6 * 4.8

= 2.88

The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...

In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;

S∞ = a/1-r where;

a is the first term = 8

r is the common ratio

[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]

Substitute into the formula;

S∞ = a/1-r

S∞ = 8/1-0.6

S∞ = 8/0.4

S∞ = 20feet

Hence the total distance traveled by the ball is 20feet


Related Questions

hii, this geometry, please help haha!!

Answers

Answer:

its 6

Step-by-step explanation:

(16x+5) = 1

50 - 45 = 5

5+1=6

Answer:

x=5

Step-by-step explanation:

since both triangles are equivalent then both given angles add up to 95. So to find x you would see what value makes it equal 85 when it's plugged in to equal 180 in total.

16(5)+5=85+95=180

:( can sum1 please help me I got 15min till its due and well my grades are due in 5 and I'm really suck at this question

Answers

Answer:

14 is the answer your welcome

Answer: If Noah scored twice as many points as Diego that’d mean Diego scored 5 points, since 10*.5=5, and that’d also mean Andre scored 14 points.

Solve the linear equation

3.4 + 2(9.7 – 4.8x) = 61.2

Answers

The answer would be -4

Hey! Could anyone solve this problem for me in a step-by-step explanation? If so, thank you! (ASAP!!)

Answers

Answer:

-8/15

that's it

Step-by-step explanation:

i cant explain

Answer:

option d

Step-by-step explanation:

[tex]\frac{4}{9}[/tex] ÷ [tex]-\frac{5}{6}[/tex]

take reciprocal of -5/6,  [when you take reciprocal, the '÷' sign will become '×' sign]

⇒ [tex]\frac{4}{9}[/tex] × [tex]-\frac{6}{5}[/tex]

⇒ 4 × -6 / 9 × 5

⇒ [tex]-\frac{24}{45}[/tex]

⇒ [tex]-\frac{8}{15}[/tex]

therefore, option d is the correct option

SUPER EASY HELP ME
Which of the following relations is a function?
A.
(2, 0), (-5, 3), (5, 1), (-5, 5)

B.
(2, 4), (-5, 6), (2, 3), (-6, 2)

C.
(5, 1), (-5, 4), (2, 1), (5, 2)

D.
(2, 4), (-5, 2), (5, 1), (-6, 2)

Answers

Answer:

D

Step-by-step explanation:

it is a function because the x-value does not repeat

The answer is D it do not repeat

i need help please asap

Answers

Y= 1/2x+2 no explanation needed right ?

5x - ( 4x - 1) = 2
a. 1/9
b. -1
c. - 1/9
d. 1​

Answers

Answer:

D. 1

Step-by-step explanation:

Distribute the -1

5x - 4x +1 = 2

1x = 1

x=1

please help. its on ratio​

Answers

Answer:

You:  6

Friend:  12, 16

Your friend sold 16 tickets

Step-by-step explanation:

u-U sincerely~ MiHa

PLEASE HELP WILL MAKE BRAINLIST
What is the solution to 4|x − 3| + 1 = 1?

A.
x = 3
B.
x = 3 or x = 4
C.
x = 3 or x = 6
D.
No solutions exist.

Answers

Answer:

X=3

Step-by-step explanation:

4x-12+1=1

4x=1-1+12

4x=12

x=12/4

x=3

Answer:

x=3

Step-by-step explanation:

im high & kinda slow help out .

Answers

Answer:

In google

Step-by-step explanation:

Is all

Hi. Please I need help with these questions.
It's urgent . 50pts.
No jokes. This time
Answer No 10and 11

Answers

next question

11)

[tex] {x}^{2} + (k - 1)x - k = 0[/tex]

[tex](x - 1)(x + k) = 0 \\ x = 1 \\ x = - k[/tex]

they are equal so both are one

then k = -1

be careful the answer of q 10 is in the pictures

Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars

Answers

The ratio in simplest form is 1/4

The ratio is 12/48 and yo I just have to simplify it

Can you pls mark brainleist

[EASY] What's the slope of the line?? PLEASE HELP

Answers

Answer:

-3/1

Step-by-step explanation:

you go down 3, and to the right one. slope is rise over run so -3 over 1

Factor completely...I need help with my algebra 2 assignment!

Answers

1.) (x+2) (x+4) (x-4)

2.) (3x-4) (x^2 +3)

3.) 2x(2x-5) (x-4)

4.) (4x+3) (2x^2 +1)

5.) (4x-5) (16x^2 + 20x+25)

6.) (x+2) (x-2) (x^2+3)

7.) 2x^2(2x+3) (4x^2-6x+9)

8.). (4x-1) (x+1) (x-1)

*Hope this helped, good luck :-)



A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.

Answers

Answer:

A) 2

B) 71

c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

hurry plz yeyeyeyeyeyye

Answers

Answer:

$250

Step-by-step explanation:

could someone help me with this ? i need to find m

Answers

the three angles of a triangle always add up to 180 degrees.

So, add the three angles together!

2x - 12 + 2x + 17 + 9x - 7 = 180

Group the similar numbers together.

13x -2 = 180

13x = 182

x = 14

Plug x in to 2x + 17

14*2 + 17 = 45

mX = 45 degrees

Answer:

m∠X = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°

2x - 12 + 2x + 17 + 9x - 7 = 180

13x = 180 - 17 + 12 + 7

13x = 182

x = 14°

m∠X = 2x + 17

sub x = 14° into m∠X

2(14) + 17

m∠X = 45°

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational. ​

Answers

Answer:

The answer is 12

Step-by-step explanation:

because 7 plus 5 is 12

What is the measure of angle ABC?

A. 130
B. 40°
C. 85°
D. 170

Answers

Answer:

what is the shape and can I have a pic of what it looks like

C.85 espero ter ajudado

WILL GIVE BRAINLIEST.
Find the equation of the line. Use the exact numbers.

Equation: y = __ x + __

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

2. through: (8,5), perpendicular to y=-1/2x +4

Answers

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11

HELP ME ASAP YOU GET 10 POINTS

Answers

Answer:

domain 12

range 24

brainliest?

domain is 12 range is 24

Simplify the expression
5[(13-7)2 +2]

Answers

Answer:

62

Step-by-step explanation:

13-7=6

6 times 2=12

12 times 5=60

60 +2=62

Can someone plz help me

Answers

Answer:

D)

Step-by-step explanation:

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?

Answers

i uhm eeeeeeeeeeeeeeeeeeeeeeeeee

PLEASE HELP, #30 and #40 !! DUE SOON

Answers

Answer:

38. x = 60

40. x = 10

Step-by-step explanation:

38.

The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.

x = 2 * 30 = 60

40.

Look at the big outer triangle.

Its left side has length x. It is made up of two segments that are congruent.

The right side of the big triangle is made up of two segments that are congruent and are also congruent to the segments of the left side. That makes the left and right sides of the big triangle congruent. This is an isosceles triangle, so its base angles are congruent. The left base angle measures 60, so the right base angle also measures 60. That means the top angle also measures 60. This triangle is isosceles and equilateral.

Since the segment measuring 5 has endpoints that are midpoints of two sides of a triangle, it is parallel to the third side and half its length.

The bottom side of the triangle measures 2 * 5 = 10. Since the triangle is equilateral, then x = 10.

help much? brainliest if i can

Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y-intercept

m is calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given points are:

[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]

Putting m=-2/3 in equation

[tex]y= -\frac{2}{3}x+b[/tex]

Putting (9,-1) in equation

[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]

Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?

Answers

Answer:

$33.60

Step-by-step explanation:

Answer:

33.60

Step-by-step explanation:

20% of 42 is 8.40. Subtract that from 42 to get your answer.

Please help I need an explanation i will give brainliest :)

Answers

y=10

If you divide 8 by 2 you'll get 4. Now do the opposite of division. multiply5 by 2 you'll get 10

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