A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bounce.

Select EACH true statement about the scenario.

[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.

*Multiple Choice*

Answers

Answer 1

The true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

The standard form of a geometric sequence is expressed as:

[tex]Tn = ar^{n-1}[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

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Related Questions

Please help lol for brainly

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Yes

Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

6.1 + 13.2 = 19.2

19.3 > 16.2 ✔️

6.1 + 16.2 = 22.3

22.3 > 13.2 ✔️

13.2 + 16.2 = 29.4

29.4 > 6.1 ✔️

The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:

Answers

Answer:

Step-by-step explanation:

Reflect the image over the y-axis and then translate 8 units down. What are the coordinates for C’?

Answers

Answer:

(-7, -7)

Step-by-step explanation:

1. Let's ONLY focus on point C.

2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).

Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).

3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).

Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)

Therefore, the coordinates for C' are (-7, -7).

Alyssa makes $14 baby sitting on Monday, $15.50 baby sitting on Tuesday, spends $24.35 at the
mall on Wednesday, and earns another $10.25 on Thursday.
25. Will Alyssa be able to go to the movies with her friends if tickets are $9.75?
26. Does Alyssa have enough to buy snacks if she wants popcorn for $3 and soda for $2.50?
27. What is Alyssa's mean daily profit or loss, not including the trip to the movies?

Answers

Answer:

25.)Yesss

26.)Yesss she have enough money to buy a popcorn and soda

27.)?

Step-by-step explanation:

#Hopeee it Helpssss

follow me pls.

If cosec ∅ = √2, find the value of 1+sin²∅+cos²∅/1+sec²∅-tan²∅.​

Answers

Given: [tex]cosec[/tex] [tex]A[/tex]  [tex]=\sqrt{2}[/tex]

∴ [tex]A=\frac{\pi }{4} =45^{0}[/tex]

[tex]sin[/tex] [tex]A[/tex] [tex]=sin[/tex] [tex]45^{0}[/tex] = [tex]\frac{1}\sqrt{2}[/tex]

[tex]cot[/tex] [tex]A[/tex] [tex]=cot[/tex] [tex]45^{0}[/tex] [tex]=1,[/tex]

[tex]tan[/tex] [tex]A[/tex] [tex]=[/tex] [tex]tan[/tex] [tex]45^{0}[/tex] [tex]=1[/tex]

[tex]cos[/tex] [tex]A[/tex] [tex]=[/tex] [tex]cot[/tex] [tex]45^{0}[/tex] [tex]=\frac{1}{\sqrt{2} }[/tex]

∴ [tex]=2[/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

METHOD 1: Using Trigonometric values.

We have given that,

[tex]\sf\cosec\theta=\sqrt2[/tex]

So,

[tex]\sf\theta=45^{\circ}[/tex]

We need to find:

[tex]\sf\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]

So,

[tex]\sf\longmapsto\dfrac{1+\sin^2(45^{\circ})+\cos^2(45^{\circ})}{1+\sec^2(45^{\circ})-\tan^2(45^{\circ})}[/tex]

[tex]\sf\longmapsto\dfrac{1+\left(\frac{1}{\sqrt2}\right)^2+\left(\frac{1}{\sqrt2}\right)^2}{1+(\sqrt2)^2-(1)^2}[/tex]

[tex]\sf\longmapsto\dfrac{1+\frac{1}{2}+\frac{1}{2}}{1+2-1}[/tex]

[tex]\sf\longmapsto\dfrac{1+1}{2}[/tex]

[tex]\sf\longmapsto\dfrac{2}{2}[/tex]

[tex]\sf\longmapsto\bf1[/tex]

METHOD 2: Using Trigonometric Identities

We need to find:

[tex]\implies\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]

But, we know that,

[tex]\sf\red⇛ \sin^2\phi+\cos^2\phi=1[/tex]

And,

[tex]\sf\red⇛ \sec^2\phi-\tan^2\phi=1[/tex]

So,

[tex]\sf\longmapsto\dfrac{1+(\sin^2\theta+\cos^2\theta)}{1+(\sec^2\theta-\tan^2\theta)}[/tex]

[tex]\sf\longmapsto\dfrac{1+1}{1+1}[/tex]

[tex]\sf\longmapsto\dfrac{2}{2}[/tex]

[tex]\sf\longmapsto\bf1[/tex]

Therefore, by both methods the answer is 1.

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Prove that:

\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1...

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What is 300251 take away 21596 what round it to the highest place value then subtract​

Answers

we need to subtract

[tex]\\ \sf\longmapsto 300251-21596[/tex]

[tex]\\ \sf\longmapsto 278655[/tex]

Now let's round up

[tex]\\ \sf\longmapsto 278700[/tex]

[tex]\\ \sf\longmapsto 279000[/tex]

[tex]\\ \sf\longmapsto 280000[/tex]

[tex]\\ \bf\longmapsto 300000[/tex]

Consider U = { 5,10, 15, 20, 25, 30, 35, 40} , A = { 20, 30, 40 } . Find A’

Answers

Answer:

A {5, 10, 15, 20}

Step-by-step explanation:


10. If a + b = 10, what is the value of 2(a + b) + + + (a + b)2 – 4
11. The cost of a hamburger and a soft drink together is $2.23. The cost of 2 hamburgers and
3 soft drink together is $5.26 What is the cost of a soft drink? What is the cost of a burger?

Answers

Answer:

answer for 10th question is 121

Step-by-step explanation:

2(a+b)+a+b/2+(a+b)^2-4

=2(10)+10/2+(10)^2-4

=20+5+100-4

=125-4

=121

Answer:

10.  121      11.  Hamburger = $1.43

Step-by-step explanation:

2(a + b) + (a + b)/2 + (a + b)² - 4

2(10) + (10)/2 + (10)² - 4

20 + 5 + 100 - 4

25 + 100 - 4

125 - 4 = 121

11.   Let H = Hamburger and Soft Drink = D

          H + D = $2.23

      2 H + 3D = $5.26

H + D = $2.23        Solve for D

D = $2.23 - H        

2H + 3D = $5.26     Now substitute the value of H into the second equation.

2H + 3($ 2.23 - H) = $5.26

2H + $6.69 - 3H = $5.26

 -H + $6.69 = $5.26

 -H = - $1.43

  H = $1.43

 

Which of the following statement is false
A. │-8│= 8
B. │-20│ < │25│
C. │-7│< 7
D. negative of │9│ = -9

Answers

Answer:

A is right answer

Step-by-step explanation:

because - - = +

please help me with this

Answers

Answer:

The circumference is the distance around a circle. In other words, it's the perimeter of the circle. And we find the circumference by using the formula C = 2πr.

Step-by-step explanation:

PLEASE HELP

what is the inverse of tge function

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Answer:

its the lastone

Step-by-step explanation:

.Triangle ABC is right angled at B,  AB= 8 cm, BC = 15 cm, find AC​

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Answer:

17

Step-by-step explanation:

If the chick grows at a rate of 4.8 grams/day and weighs 53.8 grams on day 4, how much did the chick weigh (in grams) the day it hatched?

Answers

Answer:

Step-by-step explanation:

y = 4.8x + C

53.8 = 4.8(4) + C

53.8 = 19.2 + C

C = 34.6

70 minutes for 24 songs
=
[blank] minutes for 12 songs

Answers

Answer:

35

Step-by-step explanation:

70 minutes for 24 songs

70/2 minutes for 24/2 songs

35 minutes for 12 songs.

Answer:

35 minutes for 12 songs

Step-by-step explanation:

hope this helps

4(3 × 2) + (8 - 3)^2 - 6^2 + 3 × 9 - 2^3 + 1

Show your work

[Thank you]

Answers

Answer:

33

Step-by-step explanation:

if its in () its the 1th step and then the rest u can continue

Write 3/6/7 in an improper fraction in the lowest term

Answers

Answer:

27/7

the mixed number 3 6/7 can be written as 27/7.

The value of an improper fraction in the lowest term is,

⇒ 27/7

We have to give that,

A mixed fraction is,

⇒ 3 6/7

Now, We can change the fraction into an improper fraction as,

⇒ 3 6/7

⇒ (3×7 + 6)/7

⇒ (21 + 6)/7

⇒ 27/7

Therefore, an improper fraction in the lowest term is,

⇒ 27/7

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Hugo wants to make a sandwich using wrap or baguette cheese or turkey mayonnaise or ketchup , list all the possible types of sandwiches he Hugo could make

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Answer:

What subject is this

Step-by-step explanation:

Suzy is 2997972000 seconds old. How many years old is she?

Answers

Answer:

95.06506849315

Step-by-step explanation:

Basically 95 years old which is very old Pls brainliest Thx! :D

Answer:

lets see according to my cackulations.... suzie would be, 6.....she would be six feet under the ground. dead. deceaced.gone.

Step-by-step explanation:

Mr. Evans prepared 5 rows for 6 tomato plants in each
row and 5 rows for 2 pepper plants in each row. How
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Answer:

he prepared for 18 plants altogether

The answer to this question is 40

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The slope will be -2/5

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Answer:

C. The product of 12 and √17

Step-by-step explanation:

Because it gives a number that isn't a repeating or terminating decimal.

please help will give brainliest
and please do not scam

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Answer:

Answer: 8PM and 8AM

Step-by-step explanation:

2 |x-2| -12 = 0

2 |x-2| = 12

|x-2| = 6

x-2 = 6

x= 8

12 noon + 8 Hrs

= 8PM

x-2 = -6

x = -4

12 noon - 4 hrs

= 8AM

Simplify the expression:
5h + 5h - 3 + 7

Answers

Answer: 10h+ 4

Step-by-

Use technology to find the line of best fit for the following data.

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Answer:

what following data

Step-by-step explanation:

Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what

Answers

Answer:  what = 3t  

Step-by-step explanation:

            4^t × 2^t = 2^what         [convert all terms to the same base (2)]

∴   2^t × 2^t × 2^t = 2^what       [use the multiplicat law of exponents]

              2^(t+t+t) = 2^what       [simplify]

                   2^3t =  2^what

   

                     what = 3t    

I need help plisss giving brainliest

Answers

Answer:

1) [tex]y=\frac{3}{2}x+8[/tex]

2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]

3)[tex]y=\frac{9}{7}x+1[/tex]

4)[tex]y=\frac{1}{3}x-2[/tex]

5)[tex]y=-\frac{6}{5}x-3[/tex]

6)[tex]y=4x-1[/tex]

7)[tex]y=\frac{11}{4}x-8[/tex]

8)[tex]y=\frac{11}{8}x+6[/tex]

Answer:

[tex]\sf 1) 3x-2y=-16[/tex]

subtract both sides by 3x:

[tex]\sf -2y=-16-3x[/tex]

[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]

[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]

________________

[tex]\sf 2) 13x-11y=-12[/tex]

Subtract 13x from both sides:

[tex]\sf 13x+11y-13x=-12-13x[/tex]

[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]

[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]

___________________

[tex]\sf 3) 9x-7y=-7[/tex]

Subtract 9x from both sides:

[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]

[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]

___________________

[tex]\sf 4)x-3y=6[/tex]

Add 3y from both sides:

[tex]\sf x-3y+3y=6+3y[/tex]

[tex]\sf x=6+3y[/tex]

Subtract 6 from both sides:

[tex]\sf x-6=3y[/tex]

Divide both sides by 3:

[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]

[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]

[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]

____________________

[tex]\sf 5) 6x+5y=-15[/tex]

Subtract 6x from both sides:

[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]

[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]

_____________________

[tex]\sf 6) 4x-y=1[/tex]

Subtract 4x from both sides:

[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]

[tex]\boxed {\sf y=4x-1}[/tex]

_______________________

[tex]\sf 7)11x-4y=32[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]

[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]

_______________________

[tex]\sf 8) 11x-8y=-48[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]

[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]

________________________________

Can someone pls help it’s due in two hours

Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.

Answers

Answer:

y ≤ 20-8x

Step-by-step explanation:

Darren needs to spend no more than 15 hours on cardio exercise (y). To figure out how much time he has we need to do 20-8x. Any leftover hours are the hours left for him to spend doing his exercises. Since y has to be less than or equal to 20-8x, the system of linear inequalities should be:

y ≤ 20-8x

Find −11+(−13) . pleasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

-24

Step-by-step explanation:

Answer:-24

Step-by-step explanation:if its the same sign u just add and keep the sign.

PLEASE HELP ME AND FAST! ANSWER WITH EXPLANATION PLS, ANSWER RIGHT PLS PLS PLS!
Last year, Deandre had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $790 in interest. How much did he invest in each account?
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Answers

He had $10,000 in the first account & $900 in the second account.

1/3x7 ...............

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Answer:

7

Step-by-step explanation:

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