Plsss if you can find x

The height the ball rebounds to after its third bounce with the initial height by 10 feet is 6.141 feet.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

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

[tex]\rm a_n = 0. 85\ a_{n - 1}[/tex]

a₀ = 10 feet

For n = 1, the height will be

[tex]\rm a_1 = 0. 85\ a_{0}\\\\a_1 = 0.85*10\\\\a_1 = 8.5[/tex]

For n = 2, the height will be

[tex]\rm a_2 = 0. 85\ a_{1}\\\\a_2 = 0.85*8.5\\\\a_2 = 7.225[/tex]

For n = 3, the height will be

[tex]\rm a_3 = 0. 85\ a_{0}\\\\a_3 = 0.85*7.225\\\\a_3 = 6.14125 \approx 6.141[/tex]

More about the Algebra link is given below.

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Answer:

First one is 10

The next is 6.141

Step-by-step explanation:

edg answer

Answer:The area of semicircle is 628cm².Oct

Step-by-step explanation:

AREA=1/2 *πr²          = 1/2 *3.14 * 20*20           = 314/100*10*20           = 314/100*200           =314*2            =628 cm²

Answer: The area of a square painting is 600 square inches.

Step-by-step explanation: Finding the length of all the sides of the square painting.

Step-by-step explanation:

well, for that I want the equation as simple a possible. especially do I want to have a pure "x²" term with "1" as the factor.

so, as I see that all terms in the equation are multiples of 3, my first step will be to divide both sides by 3.

leading to

x² + 6x = 7

Answer:

Answer:

The first step to solve the equation by completing the square 3x²+ 18x= 21 is multiply both sides of the equation by .

The factors of the equations  3x²+ 18x= 21 are 1 ,-7 .

Step-by-step explanation:

As given the equations

3x² + 18x = 21

Multiply both sides of the equation by .

Thus the equation becomes

Simplify the above

x² + 6x = 7

Adding 9 on both sides of the above equation

x² + 6x + 9 = 7 + 9

x² + 6x + 9 = 16

(As (a +b)² = a² + b² + 2ab

Thus (x+3)² = x² + 6x + 9 )

Put in the above

(x+3)² = 16

Taking square root on both side

√16 = ± 4

First take

(x + 3) = 4

x = 4 -3

x = 1

Second take

(x+ 3) = -4

x = - 4 -3

x = -7

Therefore the first step to solve the equation by completing the square 3x²+ 18x= 21 is multiply both sides of the equation by .

The factors of the equations  3x²+ 18x= 21 are 1 ,-7 .

Answer:

[tex]\boxed{\tt (-2,3)}[/tex]

Step-by-step explanation:

[tex]\tt -10x-5y=5\\ \underline{-4x+5y=23}\\-14x=28[/tex]

[tex]\tt x=-2[/tex]

[tex]\tt y=3[/tex]

[tex]\tt (x,y) --\: \boxed{\tt (-2,3)}[/tex]

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Answer: Answer below

Step-by-step explanation:

We start off by subtracting 120 from 150, since we want to find the amount it decreased and not what percentage is left.

150 - 120 = 30

We now divide it by 150 to get our percentage.

30/150 = 1/5

1/5 = 0.2 or 20%

Our answer is 20%.

Step-by-step explanation:

answer is provided in picture

18 : 24

6 : 8

3 : 4

3 boys to 4 girls is the answer

Answer:

(x-4)(x+5) or x^2+x-20

Step-by-step explanation:

If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.

The same goes for if a root is -5. it will simplify to x+5.

These are called factors of a quadratic equation.

Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20

Answer:

Standard Form: [tex]y = x^2 + x - 20[/tex]

Factored Form: [tex]y = 1(x -4)(x +5)[/tex]

Step-by-step explanation:

Hello!

We can utilize the factored form of a quadratic to find the equation.

Factored Form of a Quadratic: [tex]y = a(x -h)(x - k)[/tex]

We simply plug in the values of the roots and expand to find the equation. Replace "a" with 1.

The quadratic equation [tex]y = x^2 + x - 20[/tex] has the roots 4 and -5.

Answer:

45 people

Step-by-step explanation:

It appears that I know the answer to this question.

Answer:

I think C!

Step-by-step explanation:

I just took the test.

Alex's minimum monthly credit card payment will be $244.15.

Two or more expressions with an Equal sign is called as Equation.

Firstly calculate the remaining credit card balance after Alex applies his savings:

$5,390 - $2,300 = $3,090.

Calculate the monthly interest rate on the credit card: 16.5% / 12 = 0.01375.

Use the formula P = i / (1 - (1+r)⁻ⁿ) to calculate the minimum monthly payment.

i = the remaining balance = $3,090

r = the monthly interest rate = 0.01375

n = the number of months to pay off the balance = 14

Plugging in the values, we get:

P = 3090×(0.01375)/(1-(1+0.01375)⁻¹⁴)

= $244.15

Therefore, Alex's minimum monthly credit card payment will be $244.15.

To learn more on Equation:

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Step-by-step explanation:

answer is provided in picture

Answer:

How do the graphs of the functions f(x) = ()x and g(x) = ()x compare? The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.

Answer:

C

Step-by-step explanation:

1110.5 is the answer and your welcome

Answer:

D

Step-by-step explanation:

Shrink the graph vertically by a factor of 1/2 :)

I got it right of the test

Answer:

250 pi

Step-by-step explanation:

volume = 5^2 x pi x 10 = 250 pi

A. Translation

This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance. When you are doing a translation, the primary object is called the pre-image, and the object after the translation is called the image.

B. Rotation

This type of transformation has an object about a fixed point without changing its size or shape.

C. Reflection

A reflection is a transformation that reflects each point in the preimage across a line of reflection. It is a rigid motion so it preserves length and angle measure

A perpendicular bisector is a line (ray, segment) which cuts a line segment into two equal parts at90° angle

D. A transformation is a change in the position or size of an object Movements that do not change the size or shape of the object moved are called “rigid transformations” There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns.

Answer:

it would be cheaper to buy a pack of 45.

Step-by-step explanation:

Shayley would spend $30 on 20 single bottles because 1.50 times 20 = 30

Answer:

4 miles

Step-by-step explanation:

24/6=4 He ran one miles every six minutes

Answer:

Her cousin will drive 142 miles

Answer:

x=2

Step-by-step explanation:

interpreting the problem...

2x+5×3›6-x

2x+12›6-x

2x+x›6-12

3x›6

x›2

you can confirm if this is really the correct solution to the problem

We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.

We have to find the expression for another side of the rectangle i.e it's width

We will use the formula of area of rectangle to find the expression :

Therefore,

‎ㅤ‎ㅤ➝ A = l × w

‎ㅤ‎ㅤ➝ x² - 15x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w

‎ㅤ‎ㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w

‎ㅤ‎ㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )

‎ㅤ‎ㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )

Answer: 64 stamps

Step-by-step explanation:

Let the number of stamps John started with be J.

After giving half to Jim, he would have J/2 left.

After giving half to Carla he would have J/4 left and Carla would also have J/4.

After Carla gave 1/4 to Thomas, she would keep (3/4)*(J/4) = 3J/16 stamps. We are given that this equals 12.

Therefore, 3J/16 = 12

Multiply both sides by 16:

3J = 192

Divide both sides by 3:

J = 64

Answer:

78 Degrees

Step-by-step explanation:

Complimentary Angles add up to 90 degrees so the equation below solves for x and then finds angle A.

3x+42+x=90

4x=48

x=12

3(12)+42=78

The focus of the parabola is at the point (0, 2).

A parabola's focus can be found on the side of the concavity, at the same distance from the vertex as from the directrix, and at the same distance from the vertex to the parabola's centre of gravity.

This is actually a great geometrical characteristic of the parabola and the way it may be built using its definition. all those lane sites whose distance from the directrix to the focus is equal.

Then, the focus must be at a distance of two units from the vertex, (0,0),  in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis.

So, the focus of this parabola at the point (0, 2).

learn more about the parabola here:

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Answer: The third choice is the answer.

Step-by-step explanation:

If the original function is x^2, then to translate it 4 units to the right you need (x - 4)^2, and if you want to translate it 9 units up you simply add +9 outside the parenthesis.

Answer:

18

Step-by-step explanation:

21 - 3 = 18

Numbers 1, 3, 5, 7 go down in 3s

Numbers 2, 4, 6, and 8 go down in 3s

If you need further explanation, let me know!

- profparis

Answer:

18

Step-by-step explanation:

Let's first find out the pattern

32-27 = 5

29 - 27 = 2

29 - 24 = 5

24 - 26 = 2

26 - 21 = 5

21 - 23 = 2

23 - 18 = 5

Pattern = Subtract 5 , Add 2

Since at 23 - 18 = 5

Therefore the next one is subtract 5

Hence,  23 - 5 = 18

[RevyBreeze]

Answer:

1/3

Step-by-step explanation:

Alice can select any ball from her bag and it goes into Bob's bag. Then bob has 6 balls including two of one color.

Suppose they are {A,B,B,C,D,E}

Now Bob must draw one of the two balls of the same color (B) in order to have the same content of the two bags.

P(bags same content)= 2/6= 1/3

The probability that the bags content are the same= 1/3

Answer:

Step-by-step explanation:

First is to find area of base triangle:

It is an equilateral triangle with one side at 4

Height is given by 4*sin60degree = 2*sqrt(3)

Area = 1/2 * side * height

= 1/2*2*sqrt(3)*4

= 4*sqrt(3)

Height of pyramid is at centroid of the base equilateral triangle

Length of angle bisector of the base equilateral triangle

= sqrt(4^2 - 2^2)

= sqrt(16-4)

= sqrt(12)

Centroid is at sqrt(12)/3 from the nearest side.

Consider right-angle triangle formed by top of pyramid and centroid:

Height^2 + (sqrt(12)/3)^2 = 4^2 - 2^2

Height^2 = 16 - 12 - 12/9 = 24/9

Height = (2/3)*sqrt(6)

Volume of pyramid = 1/3*base area*height

= 1/3*4*sqrt(3)*(2/3)*sqrt(6)

= (8/3)*sqrt(2)

= 3.77

Answer:

A.2/4=4/8 and E.1/3=3/9

Step-by-step explanation:

A is right because 4/2=2 and 8/4=2.E is right because 1*3=3 and 3*3=9.

Answer:

$297.5

Step-by-step explanation:

I = Prt/100

I = Interest

P = Amount deposited initially

r = Rate

t = number of years

I = Prt/100

 = 250 × 1.9 × 10 / 100

 = 25 × 1.9

 = 47.5

That is the interest

The total amount in his account will be Initial amount + interest

250 + 47.5

= $297.5