Suppose you drop a ball from a height of 10 feet. after the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0.85an – 1. what is a1? feet what is the height the ball rebounds to after its third bounce? round your answer to three decimal places. feet

Answers

Answer 1

The maximum height of the ball after its third bounce is equal to 3.568 feet.

What is the maximum height of a ball at the third bounce?

In this question we are aware that the maximum height reached by the ball decreases linearly after each bounce. To determine that height, we must take advantage of the recursive formula described in statement:

n = 0

a₀ = 10 ft

n = 1

a₁ = 0.85 · 10 - 1

a₁ = 8.5 - 1

a₁ = 7.5 ft

n = 2

a₂ = 0.85 · 7.5 - 1

a₂ = 5.375 ft

n = 3

a₃ = 0.85 · 5.375 - 1

a₃ = 3.568 ft

The maximum height of the ball after its third bounce is equal to 3.568 feet.

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Answer 2

The first one is 10 feet.
The second one is 6.141 feet.

Step-by-step explanation: Edge 2023


Related Questions

Which equation has no solution?

6(5x+4)=3(10x+7)
6 times open paren 5 x plus 4 close paren is equal to 3 times open paren 10 x plus 7 close paren

18x+17=2(9x+8)+1
18 x plus 17 is equal to 2 times open paren 9 x plus 8 close paren plus 1

4(3x−7)=8(2x+3)

Answers

Answer:

The answer of the question is 6(5x+4)=3(10x+7)

Find the value of x.
A. 90
B. 70
C. 20
D. 50​

Answers

Answer: B. 70

Step-by-step explanation:

i actually can't tell but i think this is right

help it's due todayyyyy​

Answers

Answer:

yes

Step-by-step explanation:

8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4

Answers

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up

PLEASEEE HELPPP me!!!!!

Answers

Since you have 2/3 and after you give the bus driver chocolate you have 1/3 left, then you have the bus driver 1/3 because 1/3+1/3 equals 2/3. So you give the bus driver 1/3

asap pls pls plslsspslsss

Answers

Answer:

The answer is the first one: y=3x+1

Step-by-step explanation:

For this question, you have to substitute different values of x and y in the table into the equation shown below the table.

y = 3x + 1

Sub x=4 and y=13

13 = 3(4) + 1

13 = 12 + 1

13 = 13

Sub x=2 and y=7

7 = 3(2) + 1

7 = 6 + 1

7 = 7

Sub x=0 and y=1

1 = 3(0) + 1

1 = 0 + 1

1 = 1

Sub x=-2 and y=-5

-5 = 3(-2) + 1

-5 = -6 + 1

-5 = -5

Hope it helps :)


Triangle ABCis rotated 90° clockwise around the origin to get
triangle A'B'C. Find the length of the line segment, AC
A. 2.23
OB. 4.47
O c. 2.44
D.2

Answers

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Answers

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

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Determine if the lines are parallel, perpendicular or neither. Show all work.

x - 5y = 30 and 10y = 2x + 90

Answers

Answer:

The lines are parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the equations into slope-intercept form.

x-5y = 30 ⇒ y = ⅕x - 6

10y = 2x + 90 ⇒ y = ⅕x + 9

Both lines have slope = ⅕, so the lines are parallel.

Is y=-7 horizontal or vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

Y=7 is a horizontal line :)

Step-by-step explanation:

(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.

Solve each proportion help pls

Answers

17)mixed form x=5 7/17 exact form 92/17

18)x=49

19)mixed form x=30 6/7 exact form x=216/7

20)mixed form x=2 1/4 exact form x=9/4

I REALLY NEED AN ANSWER FAST! Which statement about the diagram is true?

A. m1 m3 + m4

B. m1 + m2 m2 + m3 + m4

C. m2 = m3 + m4

D. m1 m4

Pick one of the answers

Answers

Answer:

D

Step-by-step explanation:

To keep it short, refer to triangle exterior angle theorem.

Edit: If you want the full explanation,

A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.

Meaning that

measure of angle 1 equal the measure of 3 and 4 combined.

B. is wrong they are equal to each other because angle 2 is equal to angle 2

angle 1 is equal to angle 3 and 4

So they are equal

C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong

D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.

Answer:

d

Step-by-step explanation:

2) Add the following:

4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab



Answers

Answer:

8a2-8b2+7ab

Step-by-step explanation:

Putting together all of the a2 gets you to 8a2

Putting together all of the b2 gets you to -8b2

Putting together all of the ab gets you to 7ab

6x – 8y = -94
-X + 8y = 49
a. Subtract to eliminate y.
b. Subtract to eliminate x.
c. Add to eliminate y.
d. Add to eliminate x.

Answers

Answer:

photomath, assistant in mathematics, will decompose everything and give the correct answer.

magbigay ng apat elektronikong​

Answers

Answer:

Digital electronics.

Analogue electronics.

Microelectronics.

Circuit design.

Step-by-step explanation:

Using the figure below, identify the sum of the angles. Then identify the measurement of the missing angles.

Answers

Answer:

x = 135

Step-by-step explanation:

The angles at the bottom are right angles (90°)

The sum of interior angles in this rectangle is equal to 720°

Find the sum of interior angles

4x + 180 = 720 subtract 180 from both sides

4x = 540 divide both sides by 4

x = 135 this is also giving us the measure of missing angles.

PLS NEED DONE ASAP 10 MINUTES TILL DUE

Answers

Well if 4 blue circles + 1 red triangle = 2 green squares + 1 red triangle, then 2 blue circles = 1 green square

Then 3 red + 2 blue = 1 green + 2 blue, so 3 red = 1 green

If we know these facts then

3 red = 2 blue = 1 green

So the bottom one is 6 reds = 2 greens, or 1 green + 2 blue.

This makes my head hurt. They’re making it harder than it is.

Hope I didn’t confuse you more.

What are 3 of the 6 essential principles in Jefferson's Inaugural Address ?

brainliest if u get it right

Answers

Step-by-step explanation:

above guy is right. i donot about this.sorry and thanks.

Simplify:
3b - 3 and 3.5b + 4


Answers

Step-by-step explanation:

3b-3=3(b-1)

3.5+4=7,5

Please help the problem is in the picture below.

Answers

its either a or d but positive its a

please help me I will mark you brainliest

Answers

Answer: q=4

Step-by-step explanation:

License plates for motorcycles are different in each state. In New York they have five letters and in Maine they have four letters. How many more possibilities are there for license plates in New York? I feel like I'm overthinking this, someone help pls

Answers

Answer:

Not very many due to the fact that new york is more then just a busy place.

Step-by-step explanation:

Hope this helps Sorry if not

A right triangle has legs 2m and 3m in length. What is the
length of its hypotenuse?

Answers

Answer:

First option) √13 m

Step-by-step explanation:

Using the Pythagorean theorem. 2^2+3^2=c^2

4+9=c^2

13=c^2

c=3.61

3.61 meters

A scalene triangle has

A. No line of symmetry
B. one line of symmetry
C. two line of symmetry
D. three line of symmetry ​

Answers

Answer:A

scalene triangle is a triangle that has three unequal sides

Step-by-step explanation:

g(-4) and g(4)=
Using the graph

Answers

Answer:

g(-4) = 1  g(5) = -3

Step-by-step explanation:

Step 1: Recognize this is in function notation

In funcion notation what is in the brackets are the x coordinates of the point

Step 2: Solve

We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4.  We see that at x = -4 y is equal to 1 so g(-4) is equal to 1

Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3

Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?

Answers

Answer:

Step-by-step explanation:

Yes, she does

Answer:

Yes, she does

Step-by-step explanation:

Just want answers/brainliest if right!

Answers

Answer:

the first one is D, the second is B, hope this helps

Step-by-step explanation:

Round 0.9271 to the nearest whole number.

Answers

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

Answer:

1 is round off of 0.9271to the nearest whole number.

Name three collinear points and non collinear points
I want all the answers please

Answers

L, J, and K are collinear. A, B, C, D, E, F are noncollinear.
The SAS Postulate states that if two sides of one triangle are congruent to
two sides of a second triangle, then the triangles are congruent if the angle
between the congruent sides is equal.

If micheal invests $2000 in the bank at a rate of 5.5% for 6 years how much interest will he make?


help me plz

Answers

Answer:  14,533.79 don´t take my word for it

Step-by-step explanation:

Future Value of Annuity Due

P = 2,000

r = 5.5% (0.055)

n = 6

1.055 * (2,000 * [(1 + 0.055)^6 - 1)/(0.055)])

= 14,533.79

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