A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?
Draw a picture to represent the bouncing ball.

Answers

Answer 1

The bouncy ball follows a geometric sequence or pattern

The distance of rebound the 5th time is 0.015625 ftThe total distance the ball has travelled after this time is 5.328125 feet

The distance of rebound the 5th time

The given parameters are:

Initial height, a = 16 ftRebound rate = 0.25

The distance at rebound n is represented as:

Hn = a * r^n

At the 5th time, we have:

H5 = 16 * 0.25^5

Evaluate

H5 = 0.015625

Hence, the distance of rebound the 5th time is 0.015625 ft

The total distance travelled

To do this, we calculate H1 to H5

So, we have:

H1 = 16 * 0.25^1 = 4

H2 = 16 * 0.25^2 = 1

H3 = 16 * 0.25^3 = 0.25

H4 = 16 * 0.25^4 = 0.0625

H5 = 0.015625

Add this distances

Total = 4 + 1 + 0.25 + 0.0625 + 0.015625

Total = 5.328125

Hence, the total distance the ball has travelled after this time is 5.328125

See attachment for the picture

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A Bouncy Ball Is Dropped From A Height Of 16ft And Always Rebounds Of The Distance Of The Previous Fall.What

Related Questions

Find the area of the figure

Answers

Step-by-step explanation:

its a square from which a semi circle of radius of 3ft is cut

area of square = 6*6 = 36 ft^2

area of semi circle = π 9 ft^2

total area = 36 - 9π = 7.72 Ft^2

Find x degrees
Circles

Answers

Answer:

I'm almost 100% sure of the degrees is 35 or 15

ASAP

Which statement is an example of causation?
o When it rains, the playground gets wet.
The height of children increases as their running speed increases.
O The increase in the number of ice-cream cones a vendor sells causes an increase in temperature.
O Students who eat a good breakfast each day are more physically active than those who skip breakfast.

Answers

Answer:

I beleive the fist one is.

Step-by-step explanation:

The first one is a possibility, the second has a correlaition, and the third, I believe is a correlation.

Charlie buys a bag of 15 tangerines for 2.85
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.

Answers

if 15 tangerines are $2.85, to find the price of one, you’ll just divide the price by the amount.
$2.85/15 = $0.19 per tangerine.

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?

law of sines
law of cosines
neither law can be used
both laws can be used

Answers

Answer:

neither law can be used

Step-by-step explanation:

to solve the given triangle the given measurements are not enough (one more value should be known).

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer: x > 38

Step-by-step explanation:

HELP ME!! I'LL GIVE BRAINLYIEST!!
What is b and the linear equation?

Answers

B=2
Equation: y=8/16x+2

A student uses the equation tangent theta = startfraction s squared over 49 endfraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta, where sine theta = one-half. to solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. what is the approximate value of s, the speed of the car in feet per second? 5.3 7.5 9.2 28.3

Answers

The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.

How to find the spped?

An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49

sinθ = 1/2

θ = sin⁻¹ (0.5) = 30⁰

tan(30) = s² / 49

s = 5.32 ft/s

Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.

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25POINTSSSS
does anyone have the answers to End of Semester Test: Geometry B
Edmentum/plato

Answers

Answer:

nah i need them too

Step-by-step explanation:

plato

How do I do this question????

Answers

Answer:

I've attached the picture below completed with plotting (red marker used).

hope that helps...

hope this helps!!!!

have a good day :D

One can find an angle bisector using a compass and a straightedge construction or a straightedge and tracing paper construction. True or false?

Answers

Answer: true

Step-by-step explanation:

Answer:

it's true

Step-by-step explanation:

WILL GIVE BRAINLIEST - What is the length of the hypotenuse of the base?
*Picture linked below*

Answers

Answer:

4sqrt(2) cm

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

32 = c^2

sqrt(32) = c

c = 4sqrt(2)

In the parallelogram find M

Answers

Answer:

110º

Step-by-step explanatio:

6x+20 + 4x+10 = 180

180 - 30= 150

150=10x

10x/150

x = 15

6(15) + 20 = 110

someone please help me with this problem

Answers

Answer:

B

Step-by-step explanation:

x = y²z² ( multiply both sides by y ) , then

xy = y² × y × z² = y³z²

what is the shaded part of the digestive (use 3. 14 as estimate for pi)

35 points for right answer

Answers

Answer:

Option A

Step-by-step explanation:

Area of shaded region

Square:

   Side = 12 m

Area of square = Side *side

                        = 12 *12

                         = 144 square m

Circle:

  diameter = side of the square

                  = 12 m

             r    = 12/2

                r = 6 m

  Area of circle = πr²

                         = 3.14 *6 * 6

                         = 113.04 m²

Area of the shaded part = area of square - area of circle

                                        = 144 - 113.04

                                        = 30.96 m²

Answer:

A

Step-by-step explanation:

it is option A and my answer got deleted…

The radius of a circle is 7 m. Find its circumference in terms of
π
π.

Answers

[tex]circumference = 2 \times \pi \times r[/tex]

[tex]circumference = 2 \times \pi \times 7[/tex]

[tex]circumference = 14\pi[/tex]

Answer:

14π

Step-by-step explanation:

Given:

Radius of circle = 7 m

To determine the circumference of the circle, we need to use the formula 2πr, where "r" represents the radius of the circle.

Substitute the radius in the formula:

[tex]\implies 2\pi (r) = \text{Circumference}[/tex]

[tex]\implies 2\pi (7) = \text{Circumference}[/tex]

Simplify the circumference:

[tex]\implies 2\pi (7) = \text{Circumference}[/tex]

[tex]\implies 14\pi = \text{Circumference}[/tex]

Thus, the circumference is 14π.

Please help me and the answer is not 6.4

Answers

Answer:

4.9

Step-by-step explanation:

Which phrase is a description of 2m+7?

A. 7 more than 2 times m
B. 2 more than 7 times m
C.2 times the sum of 7 and m
D.7 times the sum of 2 and m​

Answers

Answer:

A

Step-by-step explanation:

7 more than 2 times m =

2m+7

re for Question 1: of 5 points)
Sandy has a ladder that is 16.5 ft long. He wants to lean the ladder against a vertical wall so that the top
the ladder is 15.9 ft above the ground. For safety reasons, he wants the angle the ladder makes with th
ground to be no greater than 76°. Will the ladder be safe at this height? Show your work and draw a diagram
to support your answer.

Answers

The ladder will be safe at this height .

What is trigonometric ratios?

There are six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

According to question

Sandy has a ladder whose length = 16.5 feet

He wants to lean the ladder against a vertical wall  15.9 feet above the ground.

And he wants the angle the ladder makes with the

ground to be < 76°.

As Perpendicular = 15.9 feet

and Hypotenuse = 16.5

Sin Ф = [tex]\frac{Perpendicular }{Hypotenuse}[/tex]

Sin Ф = [tex]\frac{15.9}{16.5}[/tex]  

Sin Ф = 0.9636

Therefore,  Ф  ≈ 74.49 (approx.)

That means it is safe .

Hence, The ladder will be safe at this height as it is not greater than 76° .

To know more about trigonometric ratios  here :

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# SPJ2

there are a total of 126 cats and dogs at an animal shelter. for every 5 dogs, there are 4 cats . how many cats are there in the shelter?​

Answers

How many total (dogs and cats) per iteration?
5+4 = 9

How many iterations are there?
126/9 = 14

How many cats in 14 iterations?
14* 4 = 56

5star:)

Find the slope of the line.
Simplify completely.

Answers

Answer:

slope = 4

Step-by-step explanation:

According to the graphic the line passes through the two points A(-1 , 0) and B(0 , 4)

[tex]\Longrightarrow \text{slope} =\frac{\text{rise} }{\text{run} } = \frac{4 - 0}{0 - (-1)} = \frac{4}{1} = 4[/tex]

PLEASE HELP 90 POINTS & WILL GIVE BRAINLIEST

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Alexander sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.

8 visitors purchased no costume.

340 visitors purchased exactly one costume.

28 visitors purchased more than one costume.


If next week, he is expecting 600 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.

Answers

Answer:

45 people

Step-by-step explanation:

1) Add all of the origanal visitors (376)

2) Find the ratio (28/376) = 0.0744

3) Either 28/376 * 600 OR 0.0744 * 600 (I would recomend the fraction for more accurate answers, but because it says to round to the nearest whole number either will work, but you should still use fraction)

4) 44.6908

5) Round to 45 people

Four more than three times a number x is 48

Answers

Answer:

x = 14 2/3

Step-by-step explanation:

4 more, +4

3 times a number x

3 * x

= 48

3x + 4 = 48

3x = 44

x = 44/3

x = 14 2/3

3 times a number x=3x
Four more 3x+4
3x+4=48

A cube has side lengths of 5 inches. What is the surface area, in square inches of the cube?

Answers

Answer:

A=6a2=6·52=150in²

Step-by-step explanation: Can you mark me BRAINLIEST PLEASE

Which expression represents a number that is 4 times as great as the quotient of 25 and 5?

A. (25 x 5) x 4
B. 4 ÷ ( 25 ÷ 5 )
C. 4 x ( 25 ÷ 5 )
D. (25 ÷ 5 ) ÷ 4

Answers

Answer:

(25 ÷ 5 ) ÷ 4

Step-by-step explanation:

solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.

Answer:

C

Step-by-step explanation:

the quotient of 25 and 5 is 25 ÷ 4 , then multiply this by 4 , so

4 × (25 ÷ 5 ) → C

In order for the data in the table to represent a linear function with a rate of change of 5, what must be the value of a? a = 3 a = 8 a = 18 a = 33

Answers

To represent the linear function in order for the data the value of a=18.

What is a linear function?

In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

It is given that for a linear function the value is changing at the rate of 5 so we can see in the table as the function independent value is changing then the value of the dependent linear function increases by 5.

So the value of a will be equal to 18.To represent the linear function in order for the data the value of a=18.

To know more about linear function follow

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The price of a toy is around £50 and it increased by £65, what percentage did it increase

Answers

Answer:

130%

Step-by-step explanation:

65/50 = 1.3

1.3x100 = 130%

The box-and-whisker plot below represents some data set. What is the range of the
data?

Answers

50
Explanation: range is the highest number subtracted by the lowest number, therefore it would be 85-35 which equals 50!

Graph the points K(-2, -1), L(-1, 2), M(2, 4), and N(1,1) in desmos geometry. What is the distance from point M to point N?

options:

4


√10

3


√8

Answers

Quadrilateral KLMN has vertices K(-2,-2), L(1,1), M(0,4), and N(-3,5)

It is first translated by (x + 2,y - 1)

then

K(-2,-2) ---> K'(-2 + 2,-2 - 1) = (0,-3)

L(1,1), ---> L'(1 + 2,1 - 1) = (3,0)

M(0,4), ---> M' (0 + 2,4 - 1) = (2,3)

and

N(-3,5) ---> N' (-3 + 2,5 - 1) = (-1,4)

and then translated by (x - 3,y + 4)

K'(0,-3) ---> K''(0 - 3,-3 + 4) = (-3,1)

L'(3,0) ---> L''(3 - 3,0 + 4)= (0,4)

M'(2,3)  ---> M'' (2 - 3, 3 + 4)= (-1,7)

and

N'(-1,4) ---> N'' (-1 - 3,4 + 4) = (-4,8)

the coordinates of K" L" M" N" after both translations are

K''= (-3,1)

L''= (0,4)

M''= (-1,7)

and

N'' = (-4,8)

hope im right if not im sorry but it going to be right cuz im good at this stuff for you

HELP NOwwwwWWWW ILL GIVE BRAINLIEST


line A is a perpendicular to line B. if the slope of line A is 3/7 what is the slope of line b?

Answers

Answer: -7/3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

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