Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.

The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Answer:

Step-by-step explanation:

Part A

The data is modeling a geometric sequence because they have a common ratio of 2.

Part B:

= 48

Step by Step Answer

f(n)=f(n-1)*r

f(n)=f(5-1)*2

f(n)=f(4)*2

f(n)=(24)2

f(n)= 48

Part C:

= 384

Step by Step Answer

f(n)=f(1)*r^n-1

f(n)=3*2^8-1

f(n)=3*2^7

f(n)=3*128

f(n)=384

Aurora will complete the 10th station in 1024 minutes (or 17 hours and 4 minutes).

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

The given data represents a geometric sequence, where the common ratio between any two consecutive terms is 2.

We can find the common ratio by dividing any term by its preceding term.

Common ratio = 4/2 = 8/4 = 16/8 = 2

Let T₁ be the time taken to complete the first station (x = 1). Then the explicit formula for the nth term of the geometric sequence is:

Tₙ = T₁ r⁽ⁿ⁻¹⁾

where r is the common ratio.

We are given the first four terms:

T₁ = 2

T₂ = 4

T₃ = 8

T₄ = 16

We can use the formula to find the time taken to complete the 10th station (x = 10):

T₁₀ = T₁ r⁽¹⁰⁻¹⁾

T₁₀ = 2(2)⁹

T₁₀ = 2 x 512

T₁₀ = 1024

Therefore, T₁₀ = 1024.

To learn more about the geometric sequence;

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#SPJ7

The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.

If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.

In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.

Find out more on likely events at https://brainly.com/question/7130419.

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

Learn more about tangent ratio on:

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Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

It states that, for a normally distributed random variable:

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:  x = 54°

Step-by-step explanation:

The sum of these three inter angles is equal to 180°.

36° + 90° + x° = 180

         126 + x = 180

                   x = 54°

Step-by-step explanation:

36° +90°+ x = 180° ( sum of all angle of triangle is 180°)

126° + x = 180°

x = 180° - 126°

x = 54°

Answer:

7.28 in change

Step-by-step explanation:

When she used 20 bucks it gave her 7.28 cents.

Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

Answer:

5cm in the diagram

Step-by-step explanation:

30/6=5

Answer:

[tex]a^-^7[/tex]

Step-by-step explanation:

[tex]\frac{a^{-13}}{a^{-6}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=a^{-13-\left(-6\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=a^{-13+6}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]

[tex]=a^{-7}[/tex]

Answer [tex]=a^{-7}[/tex]

~Learn with Lenvy~

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

[tex]s = 5x + 3y[/tex]

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

Answer=12

Step-by-step explanation:

The area of a rectangle is h×b.

h=11

11×b=132

b=132/11=12 units

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³

Answer:

1.5m+1.25j

Step-by-step explanation:

m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.

Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.

Add the income from both of them to get the total income, and you get 1.5m+1.25j.

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

==========================================================

Explanation:

The full circle has a circumference of

C = 2*pi*r

C = 2*3.14*4

C = 25.12

Divide this by four because we only want a quarter circle (and not the whole thing). Imagine cutting a pizza into four equal slices, and we only focus on one slice.

The curved portion of the slice is roughly 25.12/4 = 6.28 units long.

Add on the two straight line portions of the quarter circle to get 6.28+4+4 = 14.28

The straight line portions are the radius.

The answer of 14.28 is approximate because pi = 3.14 is approximate.

Answer:

D.

Step-by-step explanation:

Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours

12:45 to 17:30 is 285 minutes, or 4.75 hours

3.75 + 4.75 = 8.5 hours (total)

She earns 14.50 dollars per hour

8.5 * 14.5 = 123.25 dollars

D.

Answer:

The answers is D: 8.5 hours x $14.50 = $123.25

Step-by-step explanation:

This employee worked a total of 8.5 hours on Monday (3.75 hours in the morning and 4.75 hours in the afternoon).

Then, you have to multiply the total amount of hours worked by the number of dollars paid per hour.

8.5 hours x $14.50 = $123.25

Answer:

The probability of landing on heads is 50 and the probability of landing on tails is 50.

Step-by-step explanation:

Her answer is wrong because -

A. It does not equal 100, all percentages must add to 100

B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal

Answer:

The shadow is longer by 3ft

Step-by-step explanation:

A simple a^2 + b^2 = c^2 problem

81 + b^2 = 225

b = 12ft

Answer:

y = 0

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values of the function.

maximum = 0.5 and minimum = - 0.5 , then

y = [tex]\frac{0.5-0.5}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0

the equation of the midline is y = 0 ( that is the x- axis )

Answer:

y=0

Step-by-step explanation:

y = 0.5−0.52\(0.5-0.5)(2)

2

0.5−0.5

= -0.02/0

= 0

The midline is y=0

The exponential regression equation of the census predicts the number of unoccupied homes

The exponential regression equation is y = 5.247256 * 1.033157^x

The dataset is given as:

x      y

0     5.3

10    7.3

20   9.7

30   14.3

To determine the exponential regression equation, we make use of a graphing calculator.

The calculation summary from the graphing calculator are:

Hence, the exponential regression equation is y = 5.247256 * 1.033157^x

Read more about regression equations at:

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Answer14,000

Step-by-step explanation:

20,000-6,000=14,000

Answer:14000

Step-by-step explanation:

20000 - 6000, not sure why ur doing these type of problems in highschool

Answer: 18,086.4 cubic units

Step-by-step explanation:

the radius squared: 3×3.14×4²=150.72.

If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.

Answer: True.

Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel.  Parallel lines look like the image below.  The point of intersection in your image is where K is.  

Hope this helps! :)

Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 74 and the standard deviation of 8, we have that:

74 - 8 = 66

74 + 8 = 82.

Hence, there is a 68% probability that a student scored between 66 and 82.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

complex

Step-by-step explanation:

Hey there!

A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

Set up the depreciation equation D(t) where t is the number of years in the life of the car:

D(t) = 23,000/(1.3)^t

The problem asks for D(t)<=6800

23,000/(1.3)^t = 6800

Cross multiply:

7300(1.3)^t = 24,000

Divide each side by 6800

1.3^t = 23000/6800

1.3^t = 3.38

Take the natural log of both sides:

LN(1.3^t) = LN(3.38)

Using the natural log identities, we have:

t * LN(1.3) = 1.22

t * 0.2624 = 1.22

Divide each side by 0.2624

t = 4.6494

Rounding this up, we have t = 5

Answer:

it would be 7647

close enough though

Step-by-step explanation:

Answer:

First answer, 0.54 is 54% and for the second one, 0.35 is 35%

Step-by-step explanation:

1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54

2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.

Answer

One case of sprite costs 3 dollars, All four cases are $12. You can buy 16 cases of sprite with 48 dollars.

Step-by-step explanation:

How to get the cost for 1 case:

You have 4 cases of sprite which all four combined costs $12. You divide 12 by 4 and get 3.

How to get the amount of cases of sprite you can buy with $48:

divide 48 by 3 and you get 16. Why 3? Because 3 is the amount per case and 16 x 3 is 48. Thank me later!

Answer:

It costs $3 per case of Sprite

With 48 dollars, you could buy 16 cases.

Step-by-step explanation:

12/4 = 3    12 dollars divided buy 4 dollars each equals 3 dollars per case

48/3 = 16  48 dollars divided by 3 dollars per case equals 16 cases of sprite