Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee
of $8.00 for the phone service. You can talk for no more than 200 minutes in a month. What
is the domain of this situation?

Answers

Answer 1

Answer:

This means that the domain of this situation is [tex]m \in [0,200][/tex], that is, you can talk between 0 and 200 minutes in the month.

Step-by-step explanation:

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for the phone service.

This means that the cost of speaking for m minutes is given by:

[tex]C(m) = 8 + 0.12m[/tex]

You can talk for no more than 200 minutes in a month.

This means that:

[tex]m \leq 200[/tex]

What is the domain of this situation?

The domain of a function is the input variable.

In function C(m), m is the input variable, and since you can talk for no more than 200 minutes in a month, the restriction for the input is [tex]m \leq 200[/tex].

This means that the domain of this situation is [tex]m \in [0,200][/tex], that is, you can talk between 0 and 200 minutes in the month.


Related Questions

Which interval is the graph of the parent absolute vale function f(x)=|x| decreasing

Answers

Answer:

(-∞,0)

Step-by-step explanation:

The graph of ƒ(x) = |x| is below.

The function is decreasing  on (-∞,0) .

A is wrong. The function both decreases and increases on (-∞,∞).

C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.

D is wrong. the function is increasing on (o,∞)

Find the surface area of the rectangular prism

Answers

I believe it would be 72cm^2

If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude of his total displacement, in kilometers? Find the solution by drawing a diagram. km

Answers

Answer:

108.75km

Step-by-step explanation:

please find attached the diagram

total displacement can be determined by using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

length of x =

20² + 40²

= 400 + 1600

2000

square root of 2000

= 44.72km

length of y

40² + 50²

1600 + 2500 = 4100

square root of 4100

64.03km

total displacement = 44.72 + 64.03 = 108.75

I need help! Please answer this quick!​

Answers

Answer:

2.85 in²

Step-by-step explanation:

Area of triangle = 1/2 x base x height

1/2 x 1.9 x 3 = 2.85 in²

enjoy the points :D eeeeeeeeeeeeee

Answers

Answer:

Thanks for the points :D

Step-by-step explanation:

Also, the answer is C.

HOPE IT HELPS

(FROM CROSS)

Answer:

yey

Step-by-step explanation:

Can someone answer this please

Answers

Answer:

<COB = 50°

Step-by-step explanation:

We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:

3x + 94 + x + 18 + 2x - 4 = 180

Then, we can combine like terms:

6x + 108 = 180

6x = 72

x = 12

We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:

m<COB = m<COD + m<DOB

m<COB = x + 18 + 2x - 4

m<COB = 3x + 14

We have the value of x, so we can substitute that in:

<COB = 3(12) + 14

<COB = 36 + 14

<COB = 50°

3.(-48)÷ 48=_____ class 7th Chapter integer​

Answers

Answer:

3. (-48) devide 48 = -1 class 7th Chapter integer

The answer is : -1

# GOOD LUCK

Which is equivalent to 3/84"?

Answers

Answer:

[tex]\sqrt[12]{8} ^x[/tex]

Step-by-step explanation:

[tex]3 / \frac{1}{4} = 12[/tex]

Find the slope mathematics

Answers

i believe the slope is m = 12.

explanation:

the slope intercept form is y = mx+b, where m is the slope and b is the y-intercept.

jessica makes 12 batches of cookies to drop off at schools. Each school received 1 1/2 batches of cookies. How many school did Jessica take cookies to? *

Answers

Answer:

8

Step-by-step explanation:

12/1.5 is 8

you divide the total amount (12) by how much you're giving out (1.5 or 1 1/2) to find how many even groups can get a share

Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?

a. Draw a diagram that models the situation. Be sure to label it.










b. Write an equation that models the situation and solve it.

Answers

Answer:

good luck always brings luck the answer is 12

Step-by-step explanation:

Find the common ratio of the geometrie sequence 6, 24, 96,

Answers

Answer:

4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

24/6 = 4

Check by taking the third term and dividing by the second term

96/24 = 4

The common ratio is 4

In a survey of 48 hospital patients. 20 said they were satisfied with the nursing care, 23 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with neither? How many were satisfied with only the medical treatment?​

Answers

Answer:

11 patients were satisfied with neither and 23 patients were satisfied with only the medical treat

Step-by-step explanation:

trust me i'm Asian

From end zone to end zone
a football field is 120 yards long how long is a football field in feet

Answers

Answer:

360 ft

Step-by-step explanation:

1 yard = 3 feet

120x3 = 360

Brainliest?

-2(x+3)=-2x-6 solve for x

Answers

Answer:

-2x-6=-2x-6

-6=-6

infinity many solutions

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

All Real Numbers

Step-by-step explanation:

the sum of 2 numbers is 18 while the product is -63. find the numbers.​

Answers

Answer:

Step-by-step explanation:

let the numbers be x and y,then

x+y=18

x=18-y

also xy=-63

(18-y)y=-63

18y-y²=-63

y²-18y-63=0

y²-21y+3y-63=0

y(y-21)+3(y-21)=0

(y-21)(y+3)=0

y=21,-3

when y=21

x=18-21=-3

when y=-3

x=18-(-3)=18+3=21

so numbers are -3 and 21.

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).
Range:
Interquartile range:
Variance:
Standard deviation:

Answers

Answer:

Range: 19

Interquartile range: 6.5

Variance: 44.86

Standard deviation: 6.70

Step-by-step explanation:

Given set:

27, 25, 20, 15, 30, 34, 28, 25.

(i) Range is the difference between the largest value and smallest value in a given data.

In the data above, the;

largest value = 34

smallest value = 15

Range = largest - smallest

Range = 34 - 15

Range = 19

(ii) Interquartile range is the difference between the median (Q₁) of the lower half of the given data, and the median (Q₃) of the upper half of the given data. i.e Q₃ - Q₁.

This should be done after ordering the given data in ascending order.

Ordering the above data gives:

15, 20, 25, 25, 27, 28, 30, 34

In the data above;

lower half = 15, 20, 25, 25

upper half = 27, 28, 30, 34

Find median (Q₁)  of the lower half

Since there are even number of data, the median is the average of two middle numbers (20 and 25) i.e.

Q₁ = [tex]\frac{20+25}{2}[/tex] = [tex]\frac{45}{2}[/tex] = 22.5

Find median (Q₃)  of the upper half

Since there are even number of data, the median is the average of two middle numbers (28 and 30) i.e.

Q₃ = [tex]\frac{28+30}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

Interquartile range = Q₃ - Q₁

Interquartile range = 29 - 22.5

Interquartile range = 6.5

(iii) Variance is the measure of variability of a given set of data. It is calculated by following these steps:

=> First find the mean of the data by summing the numbers and dividing by the number of numbers. i.e

mean(x) = [15 + 20 + 25 + 25 + 27 + 28 + 30 + 34] / 8

mean(x) = [204] / 8

mean(x) = 25.5

=> Next, get the mean deviation by subtracting the mean from each individual value in the given set of data. i.e

15 - 22.5 = -7.5

20 - 22.5 = -2.5

25 - 22.5 = 2.5

25 - 22.5 = 2.5

27 - 22.5 = 4.5

28 - 22.5 = 5.5

30 - 22.5 = 7.5

34 - 22.5 = 11.5

=> Next, find the square of each of the results obtained above. i.e

(-7.5)² = 56.25

(-2.5)² = 6.25

(2.5)² = 6.25

(2.5)² = 6.25

(4.5)² = 20.25

(5.5)² = 30.25

(7.5)² = 56.25

(11.5)² = 132.25

=> Next, add all the results above together as follows;

56.25 + 6.25 + 6.25 + 6.25 + 20.25 + 30.25 + 56.25 + 132.25 = 314

=> Now, obtain the variance by dividing the result above one less than the number of numbers.

The number of numbers is 8. One less than this gives 7.

Therefore,

Variance = 314 / 7

Variance = 44.86

(iv) Standard deviation is the measure of how the numbers in the given data are spread out. It is calculated as the square root of variance.

Therefore,

Standard deviation = √variance.

Variance has been calculated above.

Standard deviation = √44.86

Standard deviation = 6.70

Please solve these two questions!

Answers

What two question lol

Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?

Group of answer choices

60

80

200

160

Answers

Answer:

200

Step-by-step explanation:

41 x 5 = 205

20% x 5 = 100%

find the 46th term 261 256 251

Answers

Answer:

36

Step-by-step explanation:

The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:

a + (n - 1)d

where a is the first term and d is the common difference. We can substitute our values in:

261 + (46 - 1)(-5)

261 + (45)(-5)

261 + (-225)

36

Answer:

36

Step-by-step explanation:

Have a good day :)

Solve the following system algebraically.
y = x2 +x
y = -x - 1


A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)

Answers

Answer:

B

Step-by-step explanation:

-x - 1 = x^2 + x

x^2 + 2x + 1 = 0

(x+1)(x+1) = 0

x = -1 (double soution)

y = 1-1 =

y =0

(-1,0) = double solution

at the end of a party there was one half pizza left over seven friends decided to divide the pizza equally. what fraction of the whole pizza did each friend have?​

Answers

Answer:

Each friend only got 1/14 of the pizza.

Step-by-step explanation:

Each friend gets one slice of pizza, and there are 7, so you'd think just do 1/7 and that is the answer. However, it is talking about after the party where only have of the pizza is left. So you have to do 1/7*1/2 which equals 1/14.

Consider that x = −5 and y = −4. Which statement is true about x + y?

Question 17 options:

The sum of x and y is a rational number.


The sum of x and y is an imaginary number.


The sum of x and y is an irrational number.


The sum of x and y is neither rational nor irrational.

Answers

Answer:

The sum of x and y is a rational number.

Step-by-step explanation:

-5 + -4 = -9

-9 is a rational number

Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.


Part A
Determine an exponential function model to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.



Part B
Using your exponential model predict how many ants would be in the pantry by Friday if the trend continues. Explain if your response is reasonable.



Part C
Does the problem situation represent exponential growth or decay? Justify your reasoning.

Answers

I can correctly answer this question but I need you to answer my math questions first

plzzz help

A bag of marbles has 10 red marbles, 4 green marbles, and 6 blue marbles. A marble is randomly drawn from the bag before another marble is drawn, without replacement. What is the probability that a green marble and then a red marble are selected? Enter your answer as a fraction in simplest form in the box

Answers

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

consider this quadratic equation x2+2x+7=21 the nuber of positive solutions to this equation are blank. the approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is blank.​

Answers

Answer:

+2x+7-21=0

+2x-14. =0

+2x. =14

+2x+1. =14+1

(X+1)². =15

X+1. =+/-15

X=-1+/-15

X=-1+3.872983346207

=2.872983346207(greatest solution) round it as possible

X=-1-3.872983346207

=-4.872983346207

After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each. If she paid a total of $30, how much did each pretzel cost? There were 5 family members

Answers

each pretzel is 4.5 $

1.50 • 5 = 7.5
7.5 - 30 = 22.5
22.5 / 5 = 4.5

so in conclusion, those are some expensive a** pretzels.

Answer:

4.50

Step-by-step explanation:

water + pretzels =total

5(1.50)+    5x      =30

7.50+5x=30

5x=22.50

x=4.50

Alana is 2 years younger than Tommy and the
sum of their ages is 16. How old is Alana?

Answers

Answer:

7

Step-by-step explanation:

9 - 2 = 7

7 + 9 = 16

Mark as Brainliest

A = T - 2

A + T = 16

T - 2 + T = 16

Alana is 7 and tommy is 9

Solve for T then A.

How much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.

Answers

Answer: 100

Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.

A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?

Answers

Answer:

3

Step-by-step explanation:

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