The function f(x)=2.5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answers

Answer 1

Answer:

The answer is 5.

Step-by-step explanation:

Multiplicative rate of change can be described as the rate change based on a original amount or point.

If we look at the given points for the function f(x) = 2.5x, we can see that the x coordinates increase by one while the y coordinate is increasing by 5 times it's value for the previous point.

So we can say that the multiplicative rate of change is 5 for the function f(x) = 2.5x.

I hope this answer helps.

Answer 2

the answer is(b) 5 got it right on the test


Related Questions

A cyclist rides her bike at a rate of 9 kilometers per hour. What is the rate in kilometers per minute? How many kilometers will the cyclist travel in 2 minutes

Answers

Answer: 0.15km/min and 0.3km in 2 mins

Step-by-step explanation:

Given Data:

Cyclists speed = 9km/hr

1. Some traveling 60 km/h is traveling one km/min

60/60= 1 km/min

Rate in km/min

= 9km/hr / 60min

= 3/20 km/min

= 0.15 km/min

Kilometers travelled in 2mins

= 2 / 60

= 1 / 30

= 9km/hr * 1 / 30

= 9 / 30

= 0.3 km in 2mins

Answer:

Rate(in km/min) = 0.15 km/min

Distance traveled in 2 mins = 0.3 km

Step-by-step explanation:

Rate = 9 km/hr

1 hr = 60 mins

In 60 minutes, the cyclist rides 9 km

in 1 minute, the cyclist will ride 9/60 km

Therefore, the rate in km/min = 9/60 km/min

Rate(in km/min) = 0.15 km/min

Since the cyclist rides 0.15 km in 1 min,

In 2 mins, the cyclist will ride 0.15 * 2 km = 0.3 km

Distance traveled in 2 mins = 0.3 km

Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
sets shown are true?
City A
City B
City A is likely to have a colder temperatures because the interquartile range is smaller than that of City B.
City Ais likely to have temperatures that remain fairly constant year round because it has a compact interquartile range
compared to that of City B.
Multi choice question hellllppppp

Answers

Answer:

we need the data to answer the question

Jane earns money walking dogs on the weekends. Jane charges $5 dollar sign, 5 for each dog she walks.

Complete the table for the given ratio.

Dogs Charge in dollars.

1 5

3 ?

5 ?

FIND THE ?

HURRY UP I HAVE 1 MINUTE TO SOLVE THIS

Answers

Answer:

3 dogs, $15

5 dogs, $25

Step-by-step explanation:

Jane charges $5 per dog.

When she walks 3 dogs ;

1 dog = $5

3 dogs = x

x × 1 dog = $5 × 3 dogs

x= $5 × 3 dogs/ 1 dog

x= $5 × 3 = $15

When Jane Walks 5 dogs she receives,

y= $5 × 5

y= #25.

Final answer:

For 3 dogs, Jane would charge $15. For 5 dogs, she would charge $25. You find these amounts by multiplying the number of dogs by the charge per dog, which is $5.

Explanation:

Since Jane charges $5 for each dog she walks, you can find the charge for any number of dogs by multiplying the number of dogs by 5.

For 3 dogs, she would charge $15 (3 dogs x $5 per dog = $15).

For 5 dogs, she would charge $25 (5 dogs x $5 per dog = $25).

So, the completed table would look like this:
Dogs | Charge in dollars
1 |$5
3 |$15
5 |$25


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Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.1 inches. If an image is 19 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary.

Answers

Final answer:

To find the width of the image on the tablet, set up a proportion using the diagonals of the computer monitor and the tablet. Solve for the unknown width using cross multiplication.So,on tablet it would be 0.84mm.

Explanation:

To determine the width of the image on the tablet, we can use a proportion based on the diagonals of the computer monitor and the tablet. The proportion can be set up as follows:

Computer Diagonal / Tablet Diagonal = Computer Width / Tablet Width

Substituting the given values, we have:

21 inches / 9.1 inches = 19 centimeters / x

Cross multiplying and solving for x, we get:

x = (9.1 inches * 19 centimeters) / 21 inches

Converting the units, the width of the image on the tablet should be approximately 8.43 centimeters=0.84mm

A water balloon is shot into the air with an upward velocity of 95 ft/s. The balloon is released 12 feet above the ground. Write a function that represents the height h of the balloon in feet after t seconds. How long will it take the balloon to reach its maximum height? What will the maximum height be? (ALL ANSWERS SHOULD BE EXPRESSED TO THE NEAREST HUNDREDTH.)

Function: ____________________
Time to reach the maximum height: ___________________
Maximum Height: ______________________
Approximately how many whole seconds will it take to hit the ground?: _________________

Answers

Answer:

1. h = h₀ + u×t - 1/2×g×t²

2. 2.95 s

3. 152.14 ft

4. 3.07 s

Step-by-step explanation:

The given parameters are;

Vertical velocity of the balloon = 95 ft/s

Height from which the balloon is released = 12 feet

The function is h = h₀ + u×t - 1/2×g×t²

Where:

h = Height of the balloon at time t

h₀ = Initial height of the balloon = 12 feet

u = Initial upward velocity of the balloon = 95 ft/s

t = Time duration of motion

g = Acceleration due to gravity = 32.2 ft/s²

2. The time to maximum height is found from;

v = u - g·t

Where:

v = Final velocity = 0 m/s at maximum height

∴ 0 = 95 - 32.2 × t

32.2·t = 95

t = 95/32.2 = 2.95 s

Therefore, the time it will take to reach maximum height = 2.95 s

3. From h = h₀ + u×t - 1/2×g×t², we have;

h = 12 + 95×2.95 - 1/2×32.2×2.95² = 152.14 ft

4. Therefore;

152.14 = 0×t + 1/2 × 32.2 × t²

t² = 152.14/16.1 = 9.45 s

t = √9.45 = 3.07 s

Answer:

The function is: y(t) = 12 + 95*t - 16.085*t²

The time it'll take to reach the maximum height is: 2.95 s

The maximum height is: 152.27 ft

The time it'll take to hit the ground is: 12 s

Step-by-step explanation:

The water ballon is under the constant acceleration of gravity, therefore it's movement can be modelled by the equations that describe constant acceleration movement, as shown below:

y(t) = y(0) + v(0)*t - 0.5*g*t²

The acceleration is negative, because they are contrary to the movement. Applying the data form the problem, we have:

y(t) = 12 + 95*t - 0.5*32.17*t²

y(t) = 12 + 95*t - 16.085*t²

This equation describes a parabolla, therefore the time at which it achieves the maximum height is the "x" coordinate for the vertex, which can be found by using the formula below:

t = (-b)/[2*a]

t = (-95)/[2*(-16.085)] = -95/(-32.17) = 2.95 s

And the maximum height is:

y(2.95) = 12 + 95*2.95 - 16.085*(2.95)² = 152.27 ft

The time it'll take to reach the ground  is:

y(0) = 12 + 95*0 - 16.085*(0)² = 12 s

to rent a building for a school dance ava paid $120 plus $2.50 for each student who attended. If she paid a total cost of $325 how many students attended the dance

Answers

Answer:

82 students

Step-by-step explanation:

Final answer:

The total number of students who attended the dance can be found by subtracting the initial rental cost from the total cost, and then dividing this amount by the cost per student. The number of students who attended the dance was 82.

Explanation:

This problem can be solved with a little bit of algebra. The initial cost of the building was $120, and there was an additional cost of $2.50 for each student who attended. The total cost was $325. Therefore, in order to determine how many students attended the dance, you would first need to subtract the initial cost of the building from the total cost. This leaves us with $325 - $120 = $205.

Next, you would divide this amount by the cost per student. $205 ÷ $2.50 = 82.

Therefore, the number of students who attended the dance was 82.

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How many 2/3 cup servings are in an 8-cup container of juice?

Help please

Answers

Answer: 8 / (2/3) = 24/2 = 12 servings hope this help% 3D you !!!!!!!!!!

Step-by-step explanation:
Final answer:

You can get 12 servings of 2/3 cup each from an 8-cup container of juice. You find this by dividing the total volume (8 cups) by the volume of each serving (2/3 cup).

Explanation:

To find out how many 2/3 cup servings you can get from an 8-cup container of juice, you simply divide the total volume by the volume of each serving.

In this case, you divide 8 (the total volume) by 2/3 (the volume of each serving). Here are the step-by-step calculations:

Write 8 as a fraction, which becomes 8/1.Divide by 2/3, which in practice means multiplying 8/1 by the reciprocal of 2/3, which is 3/2.When you multiply 8/1 by 3/2, you get 24/2, which simplifies to 12.

So, you can get 12 servings of 2/3 cup each from an 8-cup container of juice.

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Geometry Question Help please

Answers

Answer:

<EAD = 31*

Step-by-step explanation:

Because, <CAB is similar in angle measurement

A pizza with radius 7 in. is cut into 12 equal-sized pieces. What is the area of each piece? Round to the nearest hundredth of an inch.

Answers

Each pizza slice has an area of approximately 12.82 square inches, rounded to the nearest hundredth.

To find the area of each pizza slice, we first need to find the total area of the pizza and then divide it by the number of slices.

The formula for the area of a circle is [tex]\( A = \pi r^2 \)[/tex], where [tex]\( \pi \)[/tex] is approximately 3.14 and r is the radius of the circle.

Given that the radius of the pizza is 7 inches, we can calculate the total area of the pizza:

[tex]\[ A_{\text{total}} = \pi \times (7)^2 \]\[ A_{\text{total}} = 3.14 \times 49 \]\[ A_{\text{total}} \approx 153.86 \text{ square inches} \][/tex]

Now, to find the area of each pizza slice, we divide the total area by the number of slices (12):

[tex]\[ A_{\text{each slice}} = \frac{A_{\text{total}}}{12} \]\[ A_{\text{each slice}} \approx \frac{153.86}{12} \]\[ A_{\text{each slice}} \approx 12.82 \][/tex]

So, the area of each pizza slice is approximately 12.82 square inches.

Find m<1.
A.30
B.35
C.40
D.55

Answers

Answer:

m <1 = 30

Step-by-step explanation:

The sum of the angles of a triangle add to 180

Let x be the unknown angle

75+75+x = 180

Combine like terms

150+x =180

Subtract 150 from each side

150-150+x = 180-150

x = 30

A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the

radius of the base is 120 feet, the height of the roof is 25 feet, and the height of the entire silo is 130

feet.

Answers

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

[tex]V = \pi r^2h + \frac{1}{3} \pi rH[/tex]

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

[tex]V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3[/tex]

The volume of the silo is 5127079.21 cubic feet.

People use water to​ cook, clean, and drink every day. An estimate of 32.5​% of the water used each day is for drinking. If a family uses 68.9 gallons of water a day for drinking​, how many gallons do they use every​ day

Answers

Answer:

they use 212 gallons

Step-by-step explanation:

(68.9/32.5)*100

the division by 32.5 is to determine the amount of water one percent would be, so multiplying it by 100 will give you the total amount

Final answer:

To find the total daily water usage of a family using 68.9 gallons per day for drinking, which is 32.5% of their total usage, you divide the amount of water for drinking by 0.325. The calculation shows the family uses about 212 gallons of water per day.

Explanation:

The question asks us to calculate the total daily water usage of a family if they use 68.9 gallons per day for drinking, which represents 32.5% of their total daily use. To find the total water use, we divide the amount of water used for drinking by the percentage that represents drinking water.

Step-by-step Calculation:

Convert the percentage to a decimal by dividing 32.5 by 100, giving us 0.325.

Divide the gallons used for drinking by this decimal: 68.9 gallons / 0.325 = 212 gallons (rounded to the nearest whole gallon).

Therefore, the family uses approximately 212 gallons of water every day for all purposes.

Identify the conic that is formed by the intersection of the plane described and the double-napped cone.
The plane intersects one nappe and is parallel to n.

What is the conic section formed?

A. ellipse
B. hyperbola
C. parabola

Answers

Answer:

C. Parabola

Step-by-step explanation:

A line parallel will cut only one cone (upper or lower cone, not both) making it a parabola

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)

Answers

Answer:

x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)

OR x^9/(∛y)

Step-by-step explanation:

Given the indicinal equation

(x^27/y)^1/3

To find the corresponding expression, we will simplify the equation as shown:

(x^27/y)^⅓

= (x^27)^⅓/y⅓

= {x^(3×9)}^⅓/y⅓

= x^9/y⅓

= x^9/(∛y)

The right answer is x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)

Which is equivalent to (3/125)*?

Answers

Answer:

The answer is A as when simplified the number is 125^x/3

and the only one taht represents this is a

a. it makes the most sense

Can someone please help me with this

Answers

Answer:

12 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a=16

b=?

c=20

16^2 + b^2 = 20^2

256 + b^2 = 400

400 - 256 = b^2

144 = b^2

Square root 144 = b

12 = b

HELP!! ASAP!!! PLEASE!!!!!!

Answers

Answer:

It's 38

Step-by-step explanation:

I I don't know oh my God your thing is showing

Answer:

w = 8.

Step-by-step explanation:

Can't explain again did it in my head. :/

the formula for exponential decay is y=a(1-r)^t, where a is the initial amount, r is the rate of decay and t is the number of intervals. use the formula to determine the answer to the following problem.

on wednesday your science teacher gives you a list of twenty five terms to be memorized. you memorize all of them wednesday night and do not look at the list again. if you forget 5% of the list each day, how many terms will you remember seven days later for the chapter test?

Answers

Answer= 17.4584324
Explanation=
a=25 r=5%=5/100=.05 t=7
Y=25(1-.05)^7 so y=17.4584324

What did you include in your response? Check all that apply.

The boycott ended segregation on Montgomery buses.

The boycott led to violence against African Americans in Montgomery.

The boycott showed African Americans that they had some support in the white community.

The boycott provided a sense of personal power to African Americans.

The boycott gave national attention to the civil rights movement.

Answers

Answer:

the 1st and 3 and 2end one its the right one

Step-by-step explanation:

Answer:

its the first three answers :)

Step-by-step explanation:

A shipment to a warehouse consists of 2250 MP3 players. The manager chooses a random samle of 50 MP3 players and finds 6 that are defective. How many MP3 players in the shipment are likely to be defective?

Answers

Answer:

350

Step-by-step explanation:

Gimmie brainliest plzzz <3

Jonas practices guitar 1 hour a day for 2 years. Bradley practices the guitar 2 hours a day more than Jonas. How many more minutes does Bradley practice the guitar than Jonas over the course of 2 years?

Answers

Answer:

Bradley practice 109500 more  minutes than Jonas over the course of 2 years.

Step-by-step explanation:

Jonas practices guitar 1 hour a day for 2 years.

1 year = 365 days

2 years = [tex]365 \times 2 = 730 days[/tex]

1 hour = 60 minutes

So, Jonas practice for 60 minutes in 1 day

Jonas practice for minutes in 365 days =[tex]365 \times 60 =21900 minutes[/tex]

Bradley practices the guitar 2 hours a day more than Jonas.

So, Bradley practice the guitar for hours per day = 2+1=3 hours

3 hours = 3 \times 60 = 180 minutes

Bardley practice for minutes per day = 180 minutes

Bardley practice for minutes for 730 days = [tex]180 \times 730 =131400 minutes[/tex]

Difference in minutes in 2 years = 131400-21900=109500  minutes

Hence Bradley practice 109500 more  minutes than Jonas over the course of 2 years.

Find the mean, median, mode, and range for the numbers 17, 22, 34, 3, 16, 16, 24, 55, 18, 3, 16, 12, and 18

Answers

Answer:

mean = 19.54

median = 17

mode 16

range 52

Step-by-step explanation:

17, 22, 34, 3, 16, 16, 24, 55, 18, 3, 16, 12, and 18

First put the numbers in order from smallest to largest

3,  3, 12, 16, 16, 16,17,18, 18,22,24, 34, 55

The mean is where you add up all the numbers and divide by the number of numbers

(3+  3+ 12+ 16+ 16+ 16+17+18+ 18+22+24+ 34+ 55)/13

254/13

19.53846154

mean = 19.54

The median is the middle number

Since there are 13 numbers the middle number is 13/2 = 6.5 which rounds to 7

The 7th number is 17

median = 17

Mode is the number that appears most often

16 appears 3 times which is more often than any other number

mode 16

The range is the largest number minus the smallest number

55-3 = 52

range = 52

If a sphere’s surface area is doubled, what is the corresponding change in radius?

Answers

Answer:

The radius has an increase of 41.4%

Step-by-step explanation:

We have that the surface area formula is equal to:

a = 4 * pi * r ^ 2

in this case if you assume an area of 100 and we calculate the radius it would be:

100 = 4 * pi * r ^ 2

we solve for r:

r ^ 2 = 100/4 * pi

r ^ 2 = 100 / (4 * 3.14)

r ^ 2 = 7.9617

r = 2,822

now if we double the area, that is 200:

r ^ 2 = 200 / (4 * 3.14)

r ^ 2 = 15.9236

r = 3,990

So the change of the radius would be:

3.99 / 2,822 = 1,414

That is to say that the radius has an increase of 41.4%

Determine what type of model best fits the given situation:
A retirement account is expected to grow by 15% each year.
A. none of these
B. exponential
C. quadratic
D. linear

Answers

Answer:

I believe it is linear

Step-by-step explanation:

because if you are talking about percentage then it should be done on a linear graph so therefore i believe the answer is linear..................if i am incorrect i am very sorry but i believe i am correct.

Answer: Quadratic

Step-by-step explanation: I took the test

What is the range of the data below? A box-and-whisker plot. The number line goes from 50 to 100. The whiskers range from 52 to 93, and the box ranges from 60 to 89. A line divides the box at 82. 22 28 41 42want you inside now! LAURIE I walked down to the beach.

Answers

Answer:

42

Step-by-step explanation:

the is range is 42

Answer:

42

Step-by-step explanation:

What are the three ways a translation could be written?

Answers

Decimal form, in fraction, and word form
Decimal form, in fraction, and word form

I need help ASAP! Tysm

Answers

Step-by-step explanation:

solate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x≤193x≤193

Interval Notation:

(−∞,193]

Select Not independent or Independent for each situation. (3)


A spinner is divided into three equally sized sections. The spinner is spun three times.


A number cube is rolled twice.


A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.

Answers

Answer:

A spinner is divided into three equally sized sections. The spinner is spun three times.

independent, since the outcome is not affected by previous spins.

A number cube is rolled twice.

  independent, since the outcome is not affected by previous rollings.

A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.

not  independent, since the new outcome depends on the balls that were drawn before.

Step-by-step explanation:

The outcome of an independent variable is not affected by previous outcomes or actions, while the outcome of dependent variables is affected by previous outcomes or actions.

The outcome from independent variable is not affected by old outcomes or actions, while the outcome of dependent variables is affected by old outcomes or actions.

What is Independent Variable?

An independent variable is exactly when it sounds like. It is a variable that stands alone, changed by the other variables you are trying to measure.

A spinner is divided into three sections. The spinner is spun three times.

a. independent, since the outcome is not affected by previous spins. A number cube is rolled twice.

b. independent, since the outcome is not affected by previous rolling.

c. not  independent, since the new outcome depends on the balls that were drawn before.

Thus, the outcome will be an independent variable which is not affected by previous outcomes.

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Finn started a savings account with $5,000 and earns 3% simple interest for 5 years. How much interest will be earned over the 5 years? a) 15,000 b)759 c)3000 d)5015

Answers

Answer:

the answer is b. (since you accidentally typed 759 not 750)

Step-by-step explanation:

The formula for simple interest is

A = P (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

and the interest is going to be 750 after you plug it in, they are not asking for the amount of money total, but the amount of interest earned.

3 percent simple interest for 5 years means you are getting 0.03 percent of money from the 5,000 initial value and for 5 years. The total interest is $750.

I hope this helped! :)

Plsss help me !!! 10 points giving for answer

Answers

Answer:

D

Step-by-step explanation:

each one can be multiplied by 4 to get the cost

The answer is the letter D (and I only got 5 points)
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