A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

f(x) = 48(Five-sixths) Superscript x minus 1
f(x) = 48(three-fourths) Superscript x minus 1
f(x) = 64(three-fourths) Superscript x minus 1
f(x) = 64(Five-sixths) Superscript x minus 1

Answers

Answer 1

Answer:

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore, given as follows;

[tex]f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}[/tex]

Answer 2

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore the correct answer is C


Related Questions

Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?

Answers

Answer:

14.00x .15=2.10

14.00+2.10=16.10

Step-by-step explanation

$16.10

Which statement is true?


1
3
(
n
+
3
)
=
1
3
n
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3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3

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)
=
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1

1 third times open paren n plus 3 close paren is equal to 1 third n plus 1

1
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3
)
=
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n
+
3
1
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third

1
3
(
n
+
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=
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3

Answers

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

What is the measure of angle 2 in degrees?

Answers

Answer: Angle 2= 82

Step-by-step explanation:

Solve for X the mini box in the corner is 90 degree angle

Answers

x = 12

A triangle has a sum of interior angles equaling 180 degrees. Since the triangle has a right angle, 90 degrees, subtract 90 from 180.

There are 90 degrees left in the triangle. An angle of 35 degrees is given. 90 - 35 = 55. Thus, the final angle must equal 55 degrees.

Solve for x
3x + 19 = 55
- Subtract 19 from each side
3x = 36
- Divide by 3 to isolate x
x = 12

A sweater was marked down from $40 to
$30. This was a difference of what
percent? Round to the nearest whole
percent.

Answers

Answer:

This is a 75% off sale.

Step-by-step explanation:

Hope this helps you :)

Answer:

25 % off

Step-by-step explanation:

30 is 75% of 40 so 25 down

Help please 25 Points + Brainliest
x=6 y=4 solve 3x^2y+4x/y

Answers

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

Write the equation of a line parallel to x = 3 that contains (−4, 5).

Answers

Answer:

y=3x+17

Step-by-step explanation:

equation:

y-y¹=m(x-x¹)

substitute with same slope.

y-5=3(x-(-4))

y-5=3x+12

y=3x+17

8 + x/2 = -12 (8 + x divided by 2 = -12) *

Answers

Answer:

[tex]8 + \frac{1}{2} x = - 12 \\ 16 + x = - 24 \\ x = - 24 - 16 \\ x - 40[/tex]

Can you mark as BREINLEST

What is f(4) for the function f(x) = 7x + 6?
Please help asap

Answers

Answer:

f(4) for the function [tex]f(x) = 7x + 6[/tex] is [tex]\mathbf{f(4)=34}[/tex]

Step-by-step explanation:

We need to find f(4) for the function [tex]f(x) = 7x + 6[/tex]

For finding f(4) we will put x= 4 in the given function

[tex]f(x) = 7x + 6[/tex]

Put x = 4

[tex]f(4)=7(4)+6\\f(4)=28+6\\f(4)=34[/tex]

SO, f(4) for the function [tex]f(x) = 7x + 6[/tex] is [tex]\mathbf{f(4)=34}[/tex]

A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

Answers

Answer:

B

Step-by-step explanation:

9x20=180

FINDDDD VALUE OF Z !!!!!

Answers

I can help you did you ask Siri?

Just take a picture on Siri the would lead you to the answer.

Step-by-step explanation:

I hope that helps please give me Brainliest

z=9 hope this helps!!!

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.

Answers

Okkkkk whats the question

Line segment AC is given by A (-3,6) and B (6,9). Find the coordinates of point B such that AB:BC is 2:1 Please help now

Answers

Answer:

(0, 7)

Step-by-step explanation:

Using the midpoint formula expressed as;

M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]

where a and b are the ratios

Given

a = 2

b = 1

x1 = -3

y1 = 6

x2 = 6

y2 = 9

Get the coordinate of B

Get X;

X = ax1+bx2/a+b

X = 2(-3)+1(6)/2+1

X = -6+6/3

X = 0/3

X = 0

Get Y;

Y = ay1+by2/a+b

Y = 2(6)+1(9)/2+1

Y = 12+9/3

Y = 21/3

Y = 7

Hence the coordinate of B is (0, 7)

Which graph represents a linear function? (4 points)

Answers

Graph C because it is a straight line with no curves

(-2,1); m = 5
Find the equation of the line

Answers

Here’s the correct answer, how I got it, and something to help you for next time :)

The volume of a cylinder of height 8 cm is 72π cm3 Find the radius of the cylinder.

Answers

Answer:

3 cm

Step-by-step explanation:

Divide the volume by the height

72π/8 = 9π

Now we have the surface area. The surface area is π[tex]r^{2}[/tex], so we reverse it.

Divide the number by π:

9π/π=9

Now we find the square root

3 x 3 is 9, so 3 is the square root and radius.

At the shorter waterfall, water falls uninterrupted for 1552 feet before entering the river below. The height h above the river in feet of water going over the edge of the waterfall is modeled by h\left(t\right)=-16t^2+1552h(t)=−16t^2+1552, where is the time in seconds after the initial fall. Estimate the time it takes for the water to reach the river. Round your answer to the nearest tenth.

Answers

Answer:

9.9s

Step-by-step explanation:

First note that the river is on the ground level. The height of the river at the ground level is 0

Given the the height h above the river in feet of water going over the edge of the waterfall is modeled by h(t)=-16t^2+1552

When h = 0

0 = -16t^2+1552

16t^2 = 1552

t² = 1552/16

t² = 97

t = √97

t = 9.9secs

Hence the time it takes is 9.9secs to the nearest tenth

What is 4x3.14x9x9x9

Answers

Answer:

9156.24

Step-by-step explanation:

calculator

Answer:

its 9156.24

Step-by-step explanation:

Find the quotient.
-245 - 35
a. -7
b. - 5
C. 5
d 7

Answers

a. -7 is your answer dear.

Step-by-step explanation:

Ur complete Question is like -245/35 = -7

-7 shshjsjahshajanbs

bro sombody help me i am extremly not smart
and bad at math, thank you

Answers

Answer:

sure wuts ur question? I GOT IT

4 LBS

What’s the question then I’ll help lol

Write in slope intercept form . y+4=−12(x−2)

Answers

Answer:

20

Step-by-step explanation:

y+4=−12(x−2)

Step 1: Add -4 to both sides.

y+4+−4=−12x+24+−4

y=−12x+20

Yeah the answer Should be 20


The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV[tex](1+r)^{nm}[/tex]

                     = 675[tex](1+0.06)^{(2*2)}[/tex]

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.

Write in standard form.
4.57 x 106

Answers

Answer:

485.42

Step-by-step explanation:

multiply by using` long multiplication


Which expression is equivalent to–4–9?
4 - 9
-4+ (-9)
-4 +9
4+9

Answers

Answer:

b

B -4+(-9

Step-by-step explanation:

because plus a negative number is just like subtracting i belive

It’s B man :))))))))))

Multiple Choice.
What is the solution to the square root of -75 to the nearest integer?
A 9
bB. 8
C.-8
D. -9
MAXIMUM POINTS

Answers

Answer:

I belive it is 'A'  9

Step-by-step explanation:

because the square root is 8.66025404 so that rounded to the nearest integer would be 9

Helpp!!! Will give brainliest!!

Answers

Answer:

12/37

Step-by-step explanation:

Cos D = 12/37

answer:12/37
explanation:

Which of the following is equal to the absolute value of 7?
the distance between 1 and 7 on a number line
the distance between –3 and –4 on a number line
the distance between 7 and zero on a number line
the distance between –7 and 7 on a number line

Answers

Answer:

the distance between 7 and zero

Step-by-step explanation:

the absolute value of a number is just the number, so 7=7 and it would also work if it was he distance between -7 and 0

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V of the tray in terms of x.

Answers

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

9v

The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.

She folds the remaining cardboard to make a tray that is x inch high

Now,

By the give condition we get;

Length of tray = 9 - 2x

Width of tray = 6 - 2x

Height of tray = x

So., The volume of the tray is expressed as;

Volume = x (9 - 2x) (6 - 2x)

             = x (54 - 18x - 12x + 4x²)

             = x (54 - 30x + 4x²)

             = 4x³ - 30x² + 54x

Thus, The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

Learn more about the volume visit:

https://brainly.com/question/12410983

#SPJ2

What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22 meters per second

Step-by-step explanation:

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.

Zanaveya was testing a toy car on a ramp to see how far it would go. When she put it a third of the way up the ramp, it went 2 feet. When she put it at the top of the ramp, it went 5 times farther. How far did the car go this time?

Answers

Answer:

The car goes 10 ft

Step-by-step explanation:

Given

[tex]Distance = 2ft[/tex]

[tex]New\ Distance = 5\ times\ farther[/tex]

Required

Determine the new distance

x times farther means x multiplied by the initial distance.

So:

5 times farther would be: 5 multiplied by the initial distance.

Hence,

[tex]New\ Distance = 5 * 2ft[/tex]

[tex]New\ Distance =10ft[/tex]

i.e. the car goes 10 ft

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