100 points to whoever can answer this: A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. PLEASE SEND HELP I DO NOT UNDERSTAND THIS PROBLEM ALGEBRA IS SOOOOOO HARRRRD!!!!!!!!!!!!!!!!!!!!!!! thanks

Answers

Answer 1

Answer:

27*2/3=18

18*2/3=12

Step-by-step explanation:

I would look at the ratio of two terms

and the difference of two terms

to see if there might be a pattern

for example, 27, 18, 12

the difference between 27 and 18 is 9

the difference between 18 and 12 is 6

That is not a constant difference.

Let's try ratios:

27/18 = 1.5

18/12 = 1.5

that looks promising... we get the same ratio

so on the next bounce, expect

18/x = 1.5

maybe it's easier if we flip the ratio 1.5 (3/2) to 2/3 and so

18= 2/3 * 27

12= 2/3* 18 = 2/3 * 2/3 * 27

If we try to make a pattern

first peak = (2/3)^0 * 27

2nd peak = (2/3)^1 *27

3rd peak = (2/3)^2 * 27

Answer 2

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)


Related Questions

State the number of complex roots, the number of positive real roots and the number of negative real roots of x^4 - x^3 - 6x +3 =0.



answer:
complex roots 2 or 4
positive reall roots: 2 or 0
negative real roots 0

Answers

Answer:

Which points are collinear?

G, A, and T

G, E, and T

A, T, and E

G, A, and E

Step-by-step explanation:

that what i nkow sorry

Answer:

2 complex roots

2 positive real roots

0 negative real roots

Brainliest please?

The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

Answers

Answer:

70°

Step-by-step explanation:

In an isosceles triangle the 2 base angles are congruent , thus

base angle = [tex]\frac{180-40}{2}[/tex] = [tex]\frac{140}{2}[/tex] = 70°

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Answers

Answer:

The scale factor is 1/4

Step-by-step explanation:

Here, we are interested in finding the scale factor that helped convert the first point to the second.

Hence, what turned (8,12) to (2,3)

What we shall do here is to simply divide term 2 by term i.e

That would be 2/8 or 3/12 = 1/4

The scale factor was 1/4.

Given that,

The point (8, 12) was dilated to become point (2, 3).

We have to determine,

What was the scale factor?

According to the question,

Scale factors are closely related to the concepts of ratio and proportions.

In ratio and proportions, we multiply or divide a given amount to form a new quantity.

The point (8, 12) was dilated to become point (2, 3).

Therefore,

The scale factor was,

[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]

Substitute the points in the formula for the x-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

And substitute the points in the formula for the y-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

Hence, The scale factor was 1/4.

For more details refer to the link given below.

https://brainly.com/question/8765466

Find the number of terms in this polynomial.
7b6 + 2b

Answers

Answer:

the answer should be 7b^6+2b nothing further can be done with that problem

Step-by-step explanation:

Helpppp please . Find the missing angle

Answers

Answer:

x=30

Step-by-step explanation:

x+90+60=180

x=180-150

x=30

Answer:

d-30

Step-by-step explanation:

What kind of transformation is illustrated in this figure?  

A) reflection
B) translation
C) dilation
D) rotation​

Answers

Answer:

Translation

Step-by-step explanation:

Translation means that it moves without changing shape, and here it just moves to the right, but the shape is still the same

Enrique is measuring the mass of a flower petal. Which unit of measurement should he use to eliminate the need to write the value in scientific notation?
grams
centimeters
liters
kilograms

Answers

The answer is grams because mass is always measured in grams! Sorry if it is incorrect, please message if you need anymore help! ~pluto100

Answer:

the answer is A) grams

Step-by-step explanation:

just took the test on edge 2021

Write the slope of 4x + 5y = -5​

Answers

Answer:

4

Step-by-step explanation:

the number before x is the slope

^^^^^^^^^^^^^^^^^^^^^^^^

4 is the answer your welcome

The price of one Disney's Share declined a total of $475 in 5 days. What was the average change of the price of one share per day?

Answers

Answer:

$95 in one day

Step-by-step explanation:

$475 divided by 5 is $95.

I apologize if I'm wrong

PLEASE HELP ASAP WILL MARK BRAINLIEST!!


Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Solve the equations for x and match the solutions.

Answers

Answer:

1.  -6/A

2. 6/A

3. 3/A

What is the Y intercept of a line that has a slope of three and Pacitti the points -1 and -7

Answers

Answer:

The y-intercept is -4.

Step-by-step explanation:

y = mx + b

-7 = 3(-1) + b

-7 = -3 + b

b = -4

help i dont understand this..

Answers

Answer:

the last one

Step-by-step explanation:

x=1.61y

since y is the amount of miles

and

x is in kilometers


At Healthy Hair, the cost of a children's hair cut (x) is $4 and the cost of an adult haircut (y) is $10. The manager's goal for the day is to have at least 10 children's cuts and at least
20 adult cuts, and to have total sales be at least $500. Write a system to represent this situation.

Answers

Answer:4x +10y = 500

Step-by-step explanation:

The graph models a weight bobbing up and down on a spring. How far does the weight travel, going from maximum displacement to minimum displacement?
O2 inches
O4 inches
6 inches
O12 inches​

Answers

Answer: B

4 inches

Step-by-step explanation:

The weight travel from maximum displacement to minimum displacement is 4 inches.

What is Displacement in wave?

The relative shift in a wave's position that occurs when it passes through a medium is referred to as wave displacement.

When a wave oscillates, displacement is the movement of a particle or field relative to its resting location. The amplitude of the wave is a measurement and recording of the largest displacement that has place.

Given:

From the graph we can a wave.

Now, we can see that the Wave is 2 inches in crust and 2 inches in trough.

So, the weight travel from maximum displacement to minimum displacement is

= 2 + 2

= 4 inches.

Learn more about Displacement in wave here:

https://brainly.com/question/2463407

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Write the inverse function,
f^-1 (x), for the function
f (x) = 2x + 3

Answers

[tex]f(x) = 2x + 3[/tex]

[tex]y = 2x + 3[/tex]

Subtract the sides of the equation minus 3

[tex]y - 3 = 2x[/tex]

Divided the sides of the equation by 2

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

So ;

[tex] {f}^{ - 1}(x) = \frac{x - 3}{2} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Multiply. ​4 1/3x3/5​ Express your answer in simplest form.

Answers

Answer:

2 3/5

Step-by-step explanation:

convert mixed number into improper fraction

(whole number × denominator + numerator over denominator)

4 × 3 + 1

12 + 1

13/3

13/3 × 3/5

multiply numerators

39

multiply denominators

15

39/15

3 can be divided into both number 39 and number 15 so:

13/5

this is simplest form as an improper fraction

if the teacher wants simplest form as a whole number, the answer is:

2 3/5

Answer:

4 1/3 X 3/5 = 2 3/5

Step-by-step explanation:

First I got 13/5 then I had to convert to 2 3/5.

Hope this helps!

Complete the ratio tables

Answers

Answer: top - 8 and 9

bottom - 14

Step-by-step explanation:

find the cube root of 125 ​

Answers

Answer:

the cube root of 125 is 5.

5x5x5=125

Step-by-step explanation:

To find the cube root of a number you need to think of a number that if you multiply it 3 times by itself you would get the the number that is being cube rooted.

A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.

Answers

Remember from now on :

E = 10

Let's solve now....

[tex]1.16 \times {10}^{ - 7} = [/tex]

[tex]116 \times {10}^{ - 9} = [/tex]

[tex]0.000000116[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Beach balls are very popular at
Sam's Swim Shop. He decides
to begin charging 40% more.
If he originally charged $5.50,
then how much will Sam charge
now?

Answers

Answer:

$10 i think

Step-by-step explanation:

i think the answer is 10, but i’m not quate sure.

​The radius of the circle shown below is 3 inches.
​What is the area of this circle, in square inches?
​​

Answers

Answer:

the area = 28.27 or you can write the answer out as 28.2744 or also 28.27433

Step-by-step explanation:

start with what we know. the formula for solving this is A=pi R squared

so, area= pi (3.1416)

then, multiply that by the radius given, which is 3.

So, 9.4248 × 3 = 28.2744 square inches

or 28.27 sq.in.

HOPE THIS HELPS... HAVE A GREAT DAY!!

I apreciate your help thanks. ​

Answers

Answer:

i think its A

I NEED THIS ASAP PLEAE HELP

Answers

Answer:

(0,2) (2,3) :m=[tex]\frac{1}{2}[/tex]

(1,1) (3,0): m=-[tex]\frac{1}{2}[/tex]

(0,-3)(1,-1): m=-2

(-2,-2)(0,-2): m=0

(-2,1)(-1,-1): m=2

Step-by-step explanation:

The temperature at the base of the mountain was 14°F. The temperature at the summit was 16°F lower
than the base. What was the temperature at the summit?

Answers

Answer:

-2°F

Step-by-step explanation:

12-16=-2

14-16 = -2
the temperature at the base will be -2

What is 10 1/5 as an improper fraction?​

Answers

Answer:

51/5

Step-by-step explanation:

Multiply 10 by the denominator to get the numerator and keep the denominator the same.

The value of the mixed fraction 10¹/₅  as an improper fraction is 51/5.

What is a fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.

To convert 10¹/₅ to an improper fraction, multiply your whole number (10) by your denominator (10 x 5 = 50), then add your numerator (1) 50 + 1 = 51. Now multiply that by your original denominator (5) to get 51/5.

In summary:- (whole number x denominator + numerator) / original denominator.

To know more about a fraction follow

brainly.com/question/17220365

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help! this is urgent!

Answers

Answer:

A

Step-by-step explanation:

because if you put A into a calculator it equals 81.

hope this helps

Answer:

81 is the perfect square of the first option

Step-by-step explanation:

It is asking for the perfect square so the third option will be eliminated because that is cubed.

The fourth option will also be eliminated because it is multiplication.

The second option will be eliminated because it has addition.

81 is the perfect square of the first option

Hope this helps!

The number 0.00675 can be represented as this number in scientific notation

Answers

Answer:

6.75x10^ -3

Step-by-step explanation:

^-3= the exponent "-3"

6-2(-4)/- (-2)

ahhh need help pleaseeee

Answers

Answer: 16

Step-by-step explanation:

Hope this helps

The fraction in simplest form is 7

First, you must simplify the numerator and denominator of the fraction.

[tex]\frac{14}{2}[/tex]

Then, divide the numerator by the denominator

7

Target hs apple watches on sale this week for $349 and you get an additional 5% off if you use our red card. Best buy sells them for $389 and you have a coupon for 15% off. How much money would you save by purchasing the watch from the store with the better buy?

Answers

Given :

Target have apple watches on sale this week for $349 and you get an additional 5% off if you use our red card. Best buy sells them for $389 and you have a coupon for 15% off.

To Find :

How much money would you save by purchasing the watch from the store with the better buy.

Solution :

Selling price at Target :

S.P = $( 349 - 349×0.05)

S.P = $331.55

Selling price at Best buy :

S.P = $( 389 - 389×0.15 )

S.P = $330.65

Amount of price saved = $( 331.55 - 330.65 ) = $0.9 .

Hence, this is the required solution.

Let cos(2x) - cos(x) = 0 where 0° < x <180° what are the possible values of x

Answers

Answer:

x= 120°

Step-by-step explanation:

cos(2x)-cos(x)=0

[tex]\Rightarrow 2\cos^2x-\cosx-1=[/tex]0 [as [tex]\cos(2x)=2\cos^2x-1[/tex]]

[tex]\Rightarrow 2\cos^2x-2\cosx +\cosx-1=0[/tex]

[tex]\Rightarrow 2\cos x(\cos x-1) +(\cos x-1)=0[/tex]

[tex]\Rightarrow (\cos x-1)(2\cos x +1)=0[/tex]

[tex]\Rightarrow \cos x-1=0 \;or\; 2\cos x +1=0[/tex]

[tex]\Rightarrow \cos x=1 \;or\; \cos x =-1/2[/tex]

[tex]\Rightarrow x=\cos^{-1}1 \;or\; x =\cos(-1/2)[/tex]

For [tex]x=\cos^{-1}1[/tex] and 0° < x <180°

There is no possible value of x.

For [tex]x =\cos(-1/2)[/tex] and 0° < x <180°

The possible value of x is

x= 120°

Answer:

C/ 0 or 120

Step-by-step explanation:

edge 2020

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