Suppose a ball is dropped from a height
of 6 meters and bounces to 90% of its
previous height after each bounce.
Using the formula h = 6(0.9)n, where n
represents the number of bounces and h
represents the maximum height of the
ball after the nth bounce, what is the
approximate maximum height of the
ball after the 12th bounce? (if necessary,
round to nearest tenth)

Answers

Answer 1

Answer:

1.7

Step-by-step explanation

You just do 6 x 0.9 to the twelfth power.


Related Questions

Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
What is 0.47 expressed as a fraction in simplest form?
What is 0.4¯7 expressed as a fraction in simplest form?
What is 0.¯47 expressed as a fraction in simplest form?
Answer:
show work on how you did it

Answers

The computation of the figure illustrates that 0.47 expressed as a fraction in simplest form is 43/90.

How to compute the fraction?

From the information given, let a = 0.47. Now 10a = 4.777 .... equation i

100a = 47.77 ..... equation ii

Subtract equation i from ii

100a - 10a = 47 - 4

90a = 43

Divide both side by 90

90a/90 = 43/90

a = 43/90

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How do you solve for this?

Answers

[tex]\bold{ANSWER:}[/tex]
x = 9

[tex]\bold{EXPLANATIONS:}[/tex]

please help me!! i've been stuck on this question for the past few days.

Answers

Answer:

It transforms down 6.

Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class. art: mean absolute deviation of 2.1
Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?

Answers

Answer:

0.8 seconds sorry if im wrong

Step-by-step explanation:

Please help!! Can somebody give me a step by step answer for 3m = 531. I’ve been wanting to know how to do the questions but I don’t know how to solve them.

Answers

[tex]3m = 531 \\ divide \: both \: sides \: by \: 3 \\ \frac{3m}{3} = \frac{531}{3} \\ m = 177[/tex]

Choose the graph that represents the equation y=x-2

Answers

Step-by-step explanation:

The choices are not given but the graph looks like the above picture.

Answer:

just use Desmos graphing calculator, it works great.

Step-by-step explanation:

Hi can someone please help me

Answers

Answer:

Last and second lastv

Step-by-step explanation:

According to the rational factorization.

The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Answers

Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of [tex]C=\frac{5}{9} (F-32)[/tex]

So the compound inequality in Fahrenheit temperature will be

[tex]-40 < \frac{5}{9} (F-32) < 125[/tex]

Question 14 of 25 The image shows the location of ladders around a circular pool. 10 C 8 2 0 2 B (6y-2 85 -12 -10 0 2 Cody walks clockwise around the pool from point D to point E. How many degrees of arc does he walk? If your answer is a decimal, express your answer to the nearest hundredth. ​

Answers

The degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

What is inscribed polygon in circle?

The inscribed polygon in a circle is the polygon of which each corner point is on the circle.

The image shows the location of ladders around a circular pool. Cody walks clockwise around the pool from point D to point E. In the given image the value of x i,

[tex]2x+8=86\\2x=86-8\\x=\dfrac{78}{2}\\x=39^o[/tex]

Thus, the angle C and angle B are the supplementary angle. Thus,

[tex]m\angle C=m\angle D\\7y-4=360-(3y-6)\\7y+3y=360+6+4\\10y=370\\y=37[/tex]

3y-6 is the inscribed angle which intercept the arc DE. Thus,

[tex]\text {arc } DE= 3y-6\\\text {arc } DE= 3(37)-6\\\text {arc } DE= 105[/tex]

Thus, the degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

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The point A(5.
7) is reflected over the
What are the coordinates of point B?
point (6,
6) and its
image is point B.

Answers

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

[tex]\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)[/tex]

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Find the minimum value of X²+6X-5​

Answers

Answer:

x = -3, y = -14

Step-by-step explanation:

Graph it

X=-3, Y= -14
Graph it

A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory makes 288 aquariums, how much water will be needed to fill all of them (in cubic feet)?

Answers

Answer:

384

Step-by-step explanation:

Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

The probability that the next customer will pay with a credit card will be  0.26 or 26%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.

Then the probability that the next customer will pay with a credit card will be

[tex]\rm P = \dfrac{32}{123}\\\\ P = 0.26[/tex]

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Answer:

The answer is .26

Step-by-step explanation:

32/123

0.260162...

Which of the following options have the same value as 10 % , percent of 33?

Answers

Answer:

3.3

Step-by-step explanation:

33 x .10 = 3.3

Pablo's father is 4 years older than his mother and Pablo is a third his mother's age.
If their combined age is 74 years

Answers

Answer: 11

Explanation:

which number has a 9 with a value ten times greater than the 9 in 4 903

Answers

Answer:

49030

Step-by-step explanation:

we multiply it by ten so

4903×10=49030

15 POINTS TO ANYBODY THAT SOLVE THIS EQUATION

Answers

Answer:

This is how i had my answer

Hope it helped

Answer:

r=6

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

[tex]\sf \sin A=\boxed{\dfrac{5}{13}}\quad\cos A=\boxed{\dfrac{12}{13}}\quad\tan A=\boxed{\dfrac{5}{12}}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = AO = BC = 5A = AC = 12H = AB = 13

[tex]\implies \sf \sin A=\dfrac{5}{13}\quad\cos A=\dfrac{12}{13}\quad\tan A=\dfrac{5}{12}[/tex]

solve:
-0.4k-6=1.2

If you answer this you're a God

Answers

Answer:

The answer is k = -18

Step-by-step explanation:

This is so easy... so first you do -2k/5 - 6 = 1.2

                                                     -2k + 5(-6)/5 = 1.2

                                                      and then all that divided by 5

can someone help me ? need help asap​

Answers

Answer:

The answer is 1/2. You are correct the slope is 1/2

Step-by-step explanation:

richard has two circular sprinklers to water his rectangular backyard as shown.

Answers

Answer:

109.88 ft² (nearest hundredth)

Step-by-step explanation:

Formulae

Area of a rectangle = width × lengthArea of a circle = πr²

To find the area of the lawn that is not watered, subtract the area of the 2 circles from the area of the rectangle.

From inspection of the diagram

width of rectangle = 2rlength of rectangle = 4rarea = 512 ft²

Substituting the values into the area of a rectangle formula, and solving for r:

⇒ 512 = 2r × 4r

⇒ 512 = 8r²

⇒ r² = 64

⇒ r = ±8

As distance is positive, r = 8 ft

Area of one circle = π8² = 64π  ft²

Therefore,

Area not watered = area of rectangle - 2 × area of circle

                             = 512 - 2(64π)

                             = 109.88 ft² (nearest hundredth)

13.
Hamza made 6 calls in
one day. Each call cost the
same amount of
money. The next day he made a
call that cost $4. Which expression
represents the total cost of the calls Hamza made during the two
days?

Answers

Answer:

6x +4 where x is amount for standard call

Step-by-step explanation:

Answer:

4c+6

Step-by-step explanation:

Right on my test

Find an equation of the line passing through the pair of points (3,5) and (6,11). Write the equation in the form Ax+By=C

Answers

Answer: (4,8)

Step-by-step explanation:

Find the value of x to the nearest tenth.

1.9
3.5
–4.4
7.5

Answers

Answer:

The correct answer is 7.5

Step-by-step explanation:

[tex] \tan(62) = \frac{x}{4} [/tex]

then you multiply by 4 and you get:

[tex] \tan(62) \times 4 = x[/tex]

Result:

[tex]x = 7.5[/tex]

Mill rate is the tax rate that is applied to the assessed value of a real estate property by a municipality. Your tax is calculated by multiplying the mill rate by the assessed value of a property and dividing by 1,000. If your town's mill rate is 8 and your assessed home value is $188,000, how much will your town tax bill be?

Answers

If your town's mill rate is 8 and your assessed home value is $188,000, your town tax bill will be $1504.

What will be your town tax rate?

Tax is a complusory amount levied by the government or an agency of the government on the sales of goods and services. It is a fomr of transfer of wealth to the government.

Town tax = (8 x $188,000) / 1000 = $1504

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Find two positive numbers whose difference is 27 and whose product is 874.​

Answers

46 and 19. 46 x 19 = 874 and 46 - 19 = 27

Gas prices are projected to increase by 125% Over the next several years. If a gallon of gas currently costs $3.60. What is the projected cost of a gallon of gas?

Answers

Answer:

$ 8.10

Step-by-step explanation:

3.60   *   2.25  =

Please help. I need the answer

Answers

Answer:

B

Step-by-step explanation:

[tex]m-5\neq 5-m[/tex]

The others follow the rules of the commutative property of multiplication/addition.

Answer:

B

m - 5

Step-by-step explanation:

1) division

2) m - 5 . Since subtraction is not commutative

Which of the following is an example of theoretical probability? OA. Elena called 5 friends, and 3 of them were at home. The probability Elena's friends are at home is 3/5 B. A spinner has 8 equal sections numbered 1 ? 8. The probability of spinning the number 3 is 1/8 C. A coin was flipped 100 times, and the results were 53 heads and 47 tails. The probability of heads is 53/ 100 D. Greg turned over 10 playing cards, and 3 of them were aces. The probability of turning over an ace is 3/10​

Answers

An example of theoretical probability from the considered option is given by: Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex]is denoting experimental probability of occurrence of E.

What is theoretical probability?

Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability. Probabiltiy which is based on the outcomes of experiments performed is called experimental probability.

Suppose we want to find the probability of an event E.

Then, its theoretical probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Checking all the options to see which one gives theoretical probability:

Option 1: Elena called 5 friends, and 3 of them were at home. The probability that Elena's friend are at home is 3/5

This option uses what was observed from one result. Thus, 3/5 is experimental probability here, as there is no evidence of it being theoretical probability but enough support towards being experimental probability.

Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8

No experiment is done here, just the description of the setup of the random experiment.

Now, E = event of getting 3 on the spinner.

All spinner's parts are assumingly equally likely, we have:

Number of ways E can occur = 1

Number of ways spinner's outcome can come = 8

Thus, we get P(E) = 1/3

Thus, this option is demonstrating theoretical probability.

Option 3: A coin was flipped 100 times, out of which 53 heads and 47 tails. The probability of heads is 53/100

This is using experimental results to get the estimated probability.

Actually, assuming coin being fair, both the tail and heads being equally probable, if we take:

E = event of getting head, then as there are two results possible being Tail or Head (assuming only 2 results), and there is one way of getting head in one toss, so we get:
P(E) = 1/2 = 0.5

Thus, this option is demonstrating experimental probability instead of theoretical one.

Option 4: Greg turned over 10 playing cards, and 3 of them were aces. The probability of turning over an ace is 3/10

It is using the data from one experiment. So its experimental probability. Sometimes we can get experimental probability = theoretical probability value, but still, there'd be difference of how you calculated it from the start. Usually, if calculated from experiment, then its experimental probability, and if calculated virtually and based on theories, it is theoretical probability.

Thus, an example of theoretical probability from the considered option is given by: Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8

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5. Change the following mixed numbers to improper
fractions.
a. 3 5/6
b. 2 7/8
C. 5 1/5
D. 7 1/9

Answers

a.23/6
b.23/8
c.26/5
d.64/9
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