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

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

so i am struggling e

Answers

Answer:

17

Step-by-step explanation:

[tex]perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length[/tex]

[tex]72 \div 2 = 36 \\ 36 - 19 = 17[/tex]

Answer:

y is 17 mm

Step-by-step explanation:

perimeter formula is p= 2l +2w

19 is width

19+19 = 38

72-38=34

34/2= 17

17 is length

I hope it is right:)

Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5

Answers

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It's between 0 and 1

Step-by-step explanation:

1/64 = 0.015625

((((40 - -30) x (20 +15 - -2))+14)/2)-40


100 points pls help

Answers

Step-by-step explanation:

1262 enjoy brainliest appreciated

What is the answer for this question:12+2c+6d-8c+d

Answers

Answer:

12+10c+7d

Step-by-step explanation:

There is no possible way to really describe the value of the variables, so I simplified it.

6. There are only cars and trucks in the parking lot. Five out of every 13
vehicles are cars. If there are 143 vehicles in the parking lot, how many
are trucks?

Pls help me

Answers

Answer:

88 trucks

Step-by-step explanation:

Ratio of cars : vehicles = 5:13

Hence, the ratio of trucks : vehicles = 8:13

143/13 = 11

If the number of vehicles is 143,

we have to multiply both sides of the ratio by 11:

8*11 : 13* 11

88 : 143

Hence, there are 88 trucks for every 143 vehicles.

Hope this answers your question... Have a wonderful time ahead at Brainly!

A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.



How many cappuccinos were sold?

Answers

Answer: 60 cappuccinos were sold.

Explanation:
x = number of lattes sold
y = number of cappuccinos sold

Two equations can be set up:
x + y = 78
4x + 3y = 252

The first equation can be rearranged and substituted into the other equation to find the value of a variable.

y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18

To find y, the value of x can be substituted into either equation.

x + y = 78
18 + y = 78
y = 60

To check answers, substitute both values into the original equations and make sure they work.

x + y = 78
18 + 60 = 78
78 = 78

4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252

Number of sold cappuccinos will be 60.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A coffee shop sells lattes for $4 and cappuccinos for $3.

Last Friday, they sold 78 drinks for a total of $252.

Now,

Let number of lattes = x

Number of cappuccinos = y

Since, Last Friday, they sold 78 drinks.

So, we can formulate;

x + y = 78   ... (i)

And, Last Friday, they sold 78 drinks for a total of $252.

So, we can formulate;

4x + 3y = 252 ... (ii)

Solve equation (i) and (ii) we get;

x + y = 78

4x + 3y = 252

Multiply by 4 in equation (i) and subtract from (ii) we get;

4x + 3y - 4x - 4y = 252 - 312

- y = - 60

y = 60

And, x + y = 78

x + 60 = 78

x = 18

Thus, Number of sold cappuccinos will be 60.

Learn more about the linear expression visit:

https://brainly.com/question/28718030

#SPJ2

Given that
R
=
9
x
+
8
y

Find
x
when
y
=
3
and
R
=
5

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

X = 19/9

Step-by-step explanation:

R = 9x + 8y

R = 5, Y = 3

5 = 9x + 8(3)

9x = 8(3) - 5

9x = 19

x = 19/9

(5a-4)(3a-1)
How do I do it?

Answers

Answer:

15a^2 -17a +4

5a x 3a = 15a^2 bc a times a makes it squared.

next, 5a x -1 = -5a

and then -4 x 3a = -12a

-5a -12a (bc they're like terms) = -17a

then, -4 x -1= 4 ( two negs cancel each other out)

I apologize for my mistake the first time

A poll was taken to determine which candidate students were voting for in an upcoming class president election. Of the students who participated in the poll, 40% voted for Iverson and 50% voted for Vicky. There were 30 votes for Vicky.

There were
(blank) people who participated in the poll.

Answers

Answer:

Step-by-step explanation:

the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.

50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.

Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.

this is the formula that can help with any percentage math problem:

The percentage of something ÷ 100% = the number you are looking for ÷ the total

in our case:

40÷100 = x (because it is the unknown term)÷60

from here you cross multiple getting

2400÷100x

which equals

24

now we have to add Vicky's and Iverson's voter

24 + 30= 54

60-54=6

6 students did not participate

hhhhhhhhhhheeeeeeeeeeeelllllllllllllpppppppppp

Answers

Answer:

angle 4 is the alternate angle

Answer: (A) angle 1

Step-by-step explanation:

plz help
Which of the algebraic expressions below is equal to 28?
Select all that apply.(ANSWER ONLY IF YOU KNOW!)

A) (34)(20)×2
B) (24÷4)(7)
C) 9(7−3)–8
D) (3+4)⋅(22+3)

Answers

Answer:

ITS C

Step-by-step explanation:

9(7−3)−8

=(9)(4)−8

=36−8

=28

Answer:

C.

Step-by-step explanation:

9(7-3)-8

according to PEMDAS, we have to do the parenthesis first. so

9(4) - 8

then

36 - 8

which gives us 28.

Hope this helped! (:

what is the slope of the line that passes through the points (-3,1) and (7,14)​

Answers

The slope is 1.3. The whole equation is y=1.3x+4.9

HELP ME PLSS.....


Consider the function f (x) = – ⅔+5.

What is f (5/2)?

Enter your answer, as a simplified fraction, in the box

f (5/2) =​

Answers

Answer:

2.5 f

Step-by-step explanation:

5

F x —

2

5

— f

2

I hope it's help :)

Answer:

hi good morning friends

12 cm
14 cm
1

-
Find volume

Answers

Answer:

Volume of cylinder = 6,330.24 cm

Solution:

Volume of cylinder = area of base × altitude

Volume = πr² × altitude

V= 3.14 × 12² × 14

V = 3.14 × 144 × 14

V = 6,330.24 cm


2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?

Answers

Answer:

B

Step-by-step explanation:

the opposite of -10 is 10

10 being bigger than 0 would therefore be to the right of 0

Answer:

B

Step-by-step explanation:

The opposite is positive 10. Negative 10 is the left to 0 and positive is always to the right of 0. Hope that helps <3

Graph y= –3x+4.

i need a pic
5o points and brain thing

Answers

Refer to the attachment

If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.

Answers

Answer:

a. <1 and <3

Step-by-step explanation:

Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?

Answers

Answer:

The Tickets grow approximately ¢68 or $0.68 each year

Step-by-step explanation:

7% of 9.75 = 0.68

A percentage is out of a fraction of 100; 7/100

Hope This Helps!

Please help
What is the measure of ∠ABC?

Answers

Answer:

180°

Step-by-step explanation:

Which number has the greater value, 7*10^-9 or 6*10^-4

Answers

Answer:

6*10^-4 has a greater value.

Step-by-step explanation:

7*10^-9=   0.000000007

6*10^-4=   0.0006

discrete or continuous ​

Answers

i think the answer is contionous

The area of a rectangle is 42 square centimeters it's length is 7 centimeters.

Answers

Answer:

6 cm

Step-by-step explanation:

A = l · w                     Substitute what you know A = 42; l = 7

42 = 7 ·w                   Solve

42/7 = w

6 = w                        cm · cm = cm²

5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S

Answers

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

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https://brainly.com/question/17207164

The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?

A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.

Answers

Answer:$62

Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.

For brainily please help

Answers

Answer:

3

Step-by-step explanation:

It's the same on both sides

3 because the sides are the same

on average, what value is expected for the t statistic when the null hypothesis is true?

Answers

Answer:

0

Step-by-step explanation:

Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.

Answers

Answer:

75 + 12d

Step-by-step explanation:

he pays $75 dollars up front. he then pays a rate of $12 per day

12X + 75 = Goat cost in all.
Reason: x is your days, 12 is cost per days, +75 is what he spent setting up his goat pen!

The radius of a sphere is increasing at a rate of 0.5 centimeters per minute. At a certain instant, the radius is 17 centimeters.


What is the rate of change of the volume of the sphere at that instant (in cubic centimeters per minute)?

Answers

Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is of:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

In this problem, we have that [tex]\frac{dr}{dt} = 0.5, r = 17[/tex], thus:

[tex]\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84[/tex]

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

A similar problem is given at https://brainly.com/question/11496075

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