Which is the graph of f(x) = 4(1/2)*?

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:

(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.

18 : 24

6 : 8

3 : 4

3 boys to 4 girls is the answer

Answer:

45 people

Step-by-step explanation:

It appears that I know the answer to this question.

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:

4 miles

Step-by-step explanation:

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

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

Step-by-step explanation:

look at a die, for example.

the probabilty to roll a 6 is 1/6 (if all numbers truly have the same probability due to a perfectly balanced die).

so, you expect as a mean value that you have to roll the die 6 times to get one 6.

now in our general example :

20% = 1/5

so, we expect event A to happen once as a mean value every 5 attempts.

now we do 40 attempts. that means 8×5 sets of attempts.

and we therefore expect to see event A 8 times.

Answer:

x=16°

x+46°=62°(The external angle formed by the base of a triangle is equal to the sum of the two intersecting angles.)

x=62°-46°

x=16°

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: 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: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.

Answer:

A four-meter long rope

Step-by-step explanation:

4 * 3 = 12

Answer:

I think its 11

Step-by-step explanation:

Answer:

tHe can discuss intelligently the current political affairs. Television is a machine that ought to be used intelligently. It is necessary to think intelligently before performing any action.

Step-by-step explanation:

Step-by-step explanation:

answer is provided in picture

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.

Step-by-step explanation:

answer is provided in picture

Answer:

above is the solution to the question

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

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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#SPJ2

Answer:

D

Step-by-step explanation:

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

I got it right of the test

Step-by-step explanation:

Solve the problem step by step.

First,

Base area: 6 * 2.5 = 15

Then,

The area of the two smallersides:

2.5 * 4 = 10

10 * 2 = 20

After that,

The area of the two larger sides:

6 * 4 = 24

24 * 2 = 48

After all of the calculations, you add all of the sums up:

15+20+48

Which equals 83.

The equation form for this problem would be:

(6*2.5) + 2(2.5*4) + 2(6*4) = 83

Hope this helps and it wasn't too confusing!

Answer:

250 pi

Step-by-step explanation:

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

Answer:

Population size:5

Lowest value: 1

Highest value: 6

Range: 5

Thanks!

Step-by-step explanation:

She's buying twice the bags

So for 2(3) bags, it will cost 2(11.25)

This $22.50

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]

~

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

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:

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:

Answer:

3 4/5

Step-by-step explanation:

6- 2 1/5= 5 5/5-2 2/5= 3 4/5