PLEASE HELP ASAP!!

When a ball is dropped, the function () = 4(0.6)x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?

Answers

Answer 1

Answer:

7.2 feet

Step-by-step explanation:

plug in x = 3 since we are looking for the height after the 3rd bounce

4(0.6)(3)

4(1.8)

7.2

Answer 2

The height after the third bounce is 0.86 feet.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 4 x [tex]0.6^x[/tex] models the ball’s height in feet after each bounce.

Where x is the bounce number.

Now,

Substituting x = 3,

f(x) = 4 x [tex]0.6^x[/tex]

f(x) = 4 x [tex]0.6^3[/tex]

f(x) = 4 x 0.6 x 0.6 x 0.6

f(x) = 0.864

f(x) = 0.86

The height after the third bounce is 0.86 feet.

Learn more about functions here:

https://brainly.com/question/28533782

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Related Questions

This sum of -7 times A number and eight times the sum of the number and one is the same as the number -7

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Answer:

-7x + 8(x + 1) = -7

Step-by-step explanation:

I need help with this as soon as possible I will give brainliest ​

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Answer:

1) x=-3  (D)

2) x=10  (G)

3) x=1  (A)

4) x=3  (C)

Step-by-step explanation:

Lisa L. became a great and famous singer.
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Answer:

25% Since it is an increase

Step-by-step explanation:

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the answer is A

Step-by-step explanation:

several steps of math reversing the equation

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The area is approximately 50.27in^2

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1.If the part is bigger than the whole, what must be true about the percent 2.If the part is smaller than the whole, what must be true about the percent ?

Answers

Answer:

1.greater than 100%

2.less than 100%

Step-by-step explanation:

A whole is represented by the percentage 100%. Therefore, if the part being targeted is bigger than the whole then it would be greater than 100%. While, if the part is smaller than the whole then it would be less than 100%. This is always true in every scenario due to "a whole" being represented as the entirety of the object or data in question, which is why in numerical value it is shown as being 100%

What is the slope of the line that passes through (-12, -5) and (0, -8)?

Answers

Answer:

-3/12

Step-by-step explanation:

Multiplying and Dividing by Powers of 10
~~~~~~~~~~~
which of these equivalent to 1,000,000?
A. 10(3)
B. 10(4)
C. 10(5)
D. 10 (6)​

Answers

Answer:

10(6)

Step-by-step explanation:

Hope it's right.....

It is D, you just have to multiply by 10 multiple times for example you do 10x10 then 100x10 1000x10 etc.... hope this helps!

Two high schools are going on a field trip. One rents 8 vans and 9 buses for 228 students. The other rents 4 vans and 5 buses for 124 students. How many people can you fit in a van? How many people can you fit in a bus?​

Answers

Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6

Your younger sibling runs up to you and excitedly exclaims, "I'm thinking of a number. If I add it to the number 2 ten times, that is, 2 + my number + my number + my number, and so on, then the answer is 2. What is my number?" You almost immediately answer, "zero," but are you sure? Can you find a different number (other than zero) that has the same property? If not, can you justify that your answer is the only correct answer?

Answers

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

Represent the number with x.

So:

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

or

[tex]2 + 10x = 2[/tex]

We want to solve for x

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[tex]2 - 2 + 10x = 2 - 2[/tex]

[tex]10x = 0[/tex]

Solve for x

[tex]x = \frac{0}{10}[/tex]

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No other number aside 0, satisfy the property.

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Answer:

The correct answer would be B I believe

Step-by-step explanation:

The correct answer is d

What is the area of a circle with a radius of 13 millimeters? (Use 3.14 for Pi.)​

Answers

Step-by-step explanation:

Given

Radius (r) = 13 mm

Area of the circle

= πr²

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Answers

Answer:

C

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

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Answers

Answer:

A

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

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Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
help quickly​

Answers

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 - 4

= 6 years

Remaining 6 years

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n = 1

t = 6

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= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

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Equations from Tables
3. Two campgrounds rent a campsite for one night
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Answer:

8

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

D) 282

Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answer:

Divide by 10 on each side.

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b. (4,-7)
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Answers

Answer:

b)-3

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Step-by-step explanation:

4,-7)

-3


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Answers

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A donut shop made 32 donuts with frosting and 18 donuts without frosting. What is the ratio of the number of donuts with frosting to the number of donuts without frosting?

Answers

Answer:

16 to 9

Step-by-step explanation:

Represent donut with frosting with D1 and donut without frosting with D2.

So, we have:

[tex]D_1 = 32[/tex]

[tex]D_2 = 18[/tex]

Required

Find the ratio of D1 to D2

This is calculated as:

[tex]D_1 : D_2[/tex]

Substitute values for D1 and D2

[tex]D_1 : D_2 = 32 : 18[/tex]

Divide by 2

[tex]D_1 : D_2 = 32/2 : 18/2[/tex]

[tex]D_1 : D_2 = 16 : 9[/tex]

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Step-by-step explanation:

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7.2 units

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1})^2 + (y_{2}- y_{1})^2 } \\d= \sqrt{(-4+8)^2 + (-5-1)^2} \\d= \sqrt{4^2 + (-6)^2} \\d=\sqrt{16+36} \\d=\sqrt{52} \\d=7.22[/tex]

The probability of an event occurring is 0.08.
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Answers

Answer:

0.92

Step-by-step explanation:

always equals 1.0

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Answers

Answer:

the answer you can try is

186x-7

Answer:

1853

Step-by-step explanation:

6(80/4+2*3+5)-7, 6(31)-7, 1860-7=1853

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