11. There is a $10 monthly membership fee to download music. There is
a $0.50 fee for each song downloaded.
a. Write a linear equation that models the cost of downloading x songs
per month.
b. Graph the equation.
c. What is the cost of downloading 15 songs?

Answers

Answer 1

Answer:

A) y=0.5x+10 C) 17.5 dollars (don't forget your units)

Step-by-step explanation:

a) 0.5 is the price paid per song, or x, and 10 is the price that does not change for a month, so we can say that y=0.5x+10

c) to download 15 songs, we substitute x by 15

y=0.5(15)+10

y=7.5 + 10

y=17.5

and for b, im sorry but I cannot graph here.


Related Questions

what is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x y

Answers

The equation of the line is [tex]y = -\frac{3}{4}x[/tex].

What is the equation of a line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

We have,

the line passes through the point (4,-3),

the points perpendicular to the line 4x - 3y = 3

The equation of a line in slope-intercept form is y = mx + c ( m is the slope and c is the y-intercept).

rearrange 4x - 3y = 3 into this form

subtract 4x from both sides

- 3y = - 4x + 3 ( divide all terms by - 3 )

[tex]y = \frac{4}{3}x - 1[/tex] ← in slope-intercept form

with slope m = 4/3,

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular} = \frac{1}{-m} = \frac{1}{-\frac{4}{3} } = \frac{3}{-4}[/tex]

[tex]y = -\frac{3}{4}x + c[/tex] ← is the partial equation

To find c substitute (4, -3) into the partial equation,

-3 = -3 + c

c = -3 + 3

c = 0,

[tex]y = -\frac{3}{4}x[/tex]

Hence, the equation of the line is [tex]y = -\frac{3}{4}x[/tex] .

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In ΔNOP, p = 490 inches, ∠N=57° and ∠O=55°. Find the length of n, to the nearest inch.

Answers

Using law of sine and triangle rule, the value of n will be; 443 inches

What is Sine Rule?

The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for "solving a triangle".

We can apply the sine rule to find the missing angle or side of any triangle using the requisite known data.

The formula is given as;

a / sin A = b / sin B = c / sin C

In this triangle NOP, we can find the value of angle P then;

∠N +  ∠O  +  ∠P = 180

57 + 55 +  ∠P = 180  :

since Sum of angles in a triangle is equal 180 degrees

∠P= 180 - 112

∠P = 68

Using law of sine;

p / sin P = n / sin N

490 / sin68 = n / sin57

n = [(490 x sin 57) / sin 68]

n = 443 inches

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In a urvey of 300 houe wire. It wa dicovered that 150 had read magazine A, 200 had read Magazine B and 156 had read magazine C It wa further dicovered that 48 had read A and B 60 had read B and a while 52 hand read A and a. Find The number of houewive that had read. All three magazine ​

Answers

Answer:b

Step-by-step explanation:

Help me pls 1,2,and 3 plssssssssssssssss
it's from statistical reasoning

Answers

i did it but i don’t know how to show you i did it on paper

the average age of 33 fifth-graders is 11. the average age of 55 of their parents is 33. what is the average age of all of these parents and fifth-graders?

Answers

Since, the average age of 33 fifth-graders is 11. the average age of 55 of their parents is 33. The average age of all of these parents and fifth graders is 24.75.

Average age of the population calculated as the arithmetic mean. Another parameter determining the average age of the population is the median age. High-level terms.

Given In the question:

Average age of 33 fifth graders is 11 years.

Average age of parents is 33 Years.

Therefore,

The sum of the ages of the fifth graders is 33 × 11,

and, the sum of the ages of the parents is 55 × 33.

Therefore, the total sum of all their ages must be 2178,

and given 33 + 55 = 88 people in total, their average age is

                                  = 2178/88

                                  = 99/4

                                  = 24.75    

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If Amy is tardy, then she will get a detention

Write the CONTRAPOSITIVE of this statement

Answers

Answer:If Amy is not tardy, then she will not get a detention

Step-by-step explanation:

I do not understand what I am supposed to do

Answers

Check the picture below.

Avery is a songwriter who collects royalties on her songs whenever
they are played in a commercial or a movie. Avery will earn $40 every
time one of her songs is played in a commercial and she will earn $140
every time one of her songs is played in a movie. Avery earned a total
of $480 in royalties on 7 commercials and movies. Determine the
number of commercials and the number of movies on which Avery's
songs were played.
Avery's songs were played on
commercials and
movies.

Answers

The number of movies on which Avery's songs were played is 2 times

How to determine the number of movies on which Avery's songs were played.

From the question, we have the following parameters that can be used in our computation:

Songs played in commercial = $40

Songs played in movie = $140

Total earnings = $480

Number of times played on commercial = 7

The above parameters when represented as an equation is

Total earnings = Songs played in commercial * Number of times played on commercial + Songs played in movie * Number of times played in a movie

Substitute the known values in the above equation, so, we have the following representation

40 * 7 + 140 * Number of times played in a movie = 480

Evaluate the products

280 + 140 * Number of times played in a movie = 480

So, we have

Number of times played in a movie = 200/140

Evaluate

Number of times played in a movie = 2

Hence, the number of times is 2 times

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given a point p(x,y), if you change the sign of its x coordinate and y- coordinate, what will happen to the location of the point?

Answers

If the given point is p(x, y) and change the sign of its x coordinates and y coordinates, then the new location will be on third quadrant

The coordinates of the point p = (x, y)

In the graph, there are four quadrants.

In first quadrant the x axis value and y  axis value will be positive. In second quadrant the value of x will be negative and y will be positive. In the third quadrant the value of and y will be negative. In fourth quadrant the value of x will be positive and y will be negative

Here at first both x and y are positive and it will be on first quadrant. The the sign of the x coordinates and y coordinates will change sign. So both of them will be negative.

Therefore, the location of will be on third quadrant

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three less than the product of negative 12 1/2 and 4.8

Answers

Answer:

- 63

Step-by-step explanation:

Let's translate the sentences into expressions:

1. "product of negative 12 1/2 and 4.8" means:

      (-12 1/2)*(4.8)

    I'll simplify this by stating (-12.5)*(4.8)

2.   "three less than" means subtract 3, or

      -3

Now combine the two expressions:

   (-12.5)*(4.8) - 3

   (-60) - 3

= - 63

Find the value of x that will make A||B
A-
2x + 50
5x - 80
B-
x = [?]

Answers

Answer:

WE need to factorise (2x+4y)(2x−4y)

Given identity is (x+a)(x+b)=x

2

+(a+b)x+ab

Here x=2x,a=b=4y

Thus we have (2x+4y)(2x−4y)=(2x) 2

+(4y−4y)+(4y)(−4y)=4x2

−16y 2

at what rate is the angle between a​ clock's minute and hour hands changing at 10 ​o'clock in the ​morning?

Answers

The angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

what is the rate of change in calculus?

The rate of change defines the relationship between two changing variables. Consider a moving object that moves twice as much in the vertical direction (y) as it does in the horizontal direction (x). This can be expressed mathematically as y = 2x.

Let 'θ' represent the angle between the minute and hour hand.

Let θ1 be the angle between the minute hand and 12.

                     [tex]\frac{d\theta_2}{dt}=\frac{1}{60*12}\times2\pi\\\\\frac{d\theta_2}{dt}=\frac{\pi}{360}[/tex](Between hour hand and 12)

       

                     [tex]\theta=\pm(\theta_1-\theta_2)\\\\\frac{d\theta}{dt}=\pm(\frac{d\theta_1}{dt}-\frac{d\theta_2}{dt})\\\\\frac{d\theta}{dt}=\pm(\frac{\pi}{30}-\frac{\pi}{360})\\\\\frac{d\theta}{dt}=\pm5.5$ degree$[/tex]

Hence the angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

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Brandon went to the store to buy some walnuts. The price per pound of the walnuts is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the coupon, how much would Brandon have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy
p
p pounds of walnuts, assuming at least one pound is purchased.

Answers

Answer:

Step-by-step explanation:

$28.75

Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among white people, 4.4% among black people, and 3.5% among Asians. What is the probability that a randomly chosen death is a white person who died of diabetes? (Round your answer to three decimal places.)

Answers

The probability that a randomly chosen death is a white person who died of diabetes is 0.024 determined using the law of total probability.

The law of total probability is a fundamental rule that connects marginal probabilities to conditional probabilities and expresses the total probability of an outcome via several distinct events. The rule states that if the probability of an event is unknown, it can be calculated using the known probabilities of several distinct events. It is given by P(A ∩ B) = P(A|B)P(B)

In order to determine the probability of an event (D) with not enough information to calculate it directly, a related event, say W can be taken and use that to calculate the probability for D.

Let the events that a person from a certain race die be denoted as:

P(W) = 0.86; P(B) = 0.12; P(A) = 0.02

Let the events that a person from a certain race dies of diabetes be denoted as:

P(D/W) = 0.0.028; P(D/B) = 0.044; P(D/A) = 0.035

Probability that a randomly chosen death is a white person who died of diabetes

P(W) x P (D/W) = 0.86 x 0.028 = 0.02408 ≈ 0.024

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What is the value of x?
Enter your answer In the box
X =

Answers

A+B+C=180

55+80+x=180

135+x=180

x=180-135

x=45

Interior Angles in a triangle add up to 180 so I added the values I know and minused it by 180

55+ 80 = 135

180-135 = 45

So x = 45

If the area of the pentagon is 36, what is the area of the larger pentagon?

Answers

Answer:48?

Step-by-step explanation:

I as of now am not completely sure of this is the correct answer.

Which graph represents the step function f(x)=⌊x+1⌋ ?

Answers

The graph which represents the equation f ( x ) = [ x + 1 ] is Option 4.

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ x + 1 ]

The function f ( x ) can be written as

y = [ x + 1 ] , where the equation f ( x ) = y

Substituting the value for x , we get

a)

when x = 0

The value of equation is

y = [ x + 1 ]

y = [ 0 + 1 ]

y = 1

So , the coordinates are ( 0 , 1 )

b)

when x = 1

The value of equation is

y = [ x + 1 ]

y = [ 1 + 1 ]

y = 2

So , the coordinates are ( 1 , 2 )

c)

when x = 2

The value of equation is

y = [ x + 1 ]

y = [ 2 + 1 ]

y = 3

So , the coordinates are ( 2 , 3 )

d)

when x = -1

The value of equation is

y = [ x + 1 ]

y = [ -1 + 1 ]

y = 0

So , the coordinates are ( -1 , 0 )

Hence ,

On plotting the points in the graph , we get the equation as y = x + 1

And the solution is Option D.

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Find the slope of points passing through -2, 2 and -8, 5

Answers

Answer:

-1/2

Step-by-step explanation:

Slope= [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex].

(5-2)/(-8+2)

Simplify:

3/-6

-1/2

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the function f(x) = –0.3x2 + 2.5x + 5 can be used to approximate the distance a thrown ball is from the ground, where x is the distance between the ball and the person throwing the ball. the mathematical domain of the function is all real numbers.

Answers

The mathematical domain of the function is 0<or = 5<or = -0.3

What is a simple definition of function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

What is the main meaning of function?

the type of behavior that is appropriate for a given person, object, or institution; the reason why something exists; a role. any formal event or gathering that is public or social. a variable connected to or reliant upon another variable: A price depends on both supply and demand.

According to the above statements:-

The mathematical domain of the functions are:-

0<or = 5<or = -0.3

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Help how do i answer this problem

Answers

Answer:

1. EF ≈ 22.00

2. m∠E ≈ 36.20°

3. m∠F ≈ 53.81°

Step-by-step explanation:

1. Use the trigonometric function sine.

sin(60°) = EF / 25.4

EF = 25.4 sin(60°)

EF ≈ 22.00

2. Use the inverse of the trigonometric function sine (denoted arcsin).

sin(m∠E) = 15/25.4

m∠E = arcsin(15/25.4)

m∠E ≈ 36.20°

3. Use the inverse of the trigonometric function cosine (denoted arccos).

cos(m∠F) = 15/25.4

m∠F = arccos(15/25.4)

m∠F ≈ 53.81°

jessica has a die with 10 sides, another with 13 sides, and a third one with 5 sides. she rolls the three dice once. let z be the number of ones showing. find the expectation of z using the indicator method.

Answers

Jessica has three dice with 10 sides, 13 sides and 5 sides respectively and she rolls all dice once and if Z is number of ones occur then

The expectation value i.e, E(Z) is 0.376 and variance V[Z] = 0.321..

Indicator method :

This is a powerful way to find expected counts. This follows from the observation that the number of "good" outcomes in a trial can be counted by first coding each "good" outcome as one, coding each other outcome as zero, and then adding 1 and 0.

let X₁ be the outcome of a 10 sided die

X₂ be the outcome of 13 sided die

X₃ be the outcome of 5 sided die

let l₁ ,I₂ ,I₃ be three indicator functions such that

I₁ =1 if X₁ = 1

=0 otherwise

I₂ = 1 if X₂ = 1

=0 otherwise

I₃ = 1 if X₃ = 1

=0 otherwise

so Z denotes the number of ones showing when the three dice are rolled once.

so Z=I₁ +I₂ +I₃

so E[Z]=E[I₁]+E[I₂]+E[I₃]

so E[I₁]=1×P[X₁=1] = 1/10

E[I₂]=1×P[X₂=1] = 1/13

E[I₃]=1×P[X₃=1] = 1/5

so, E[Z]=1/10+1/13+1/5=49/130 = 0.3769

the variance = V[Z] = V[I₁]+V[I₂]+V[I₃] since the outcomes of the 3 different die are independent to each other hence no covariance term.

V[I₁]= 1²P[X₁=1]- E²[I₁]=1/10 -(1/10)²= 0.09

V[I₂]= 1²P[X₂=1]- E²[I₂]=1/13-(1/13)²= 12/169 = 0.071

V[I₃]= 1²P[X₃=1]- E²[I₃]=1/5 -(1/5)²= 4/25 = 0.16

so V[Z]= 0.09 + 0.071 + 0.16 = 0.321

Hence, the expectation value i.e, E(Z) is 0.3769..

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Please hurry!!!! 50 points!
The diameter of a regulation soccer ball is about 8 3/5 inches. This number was graphed on a number line. (Ill show the number line below) With point could be the point representing the graph of the diameter of the ball?

Answers

Answer:

D

Step-by-step explanation:

8 3/5 is a number greater than 8 but minor than 9

Answer:-9.9   -7 7.9 9.7

Step-by-step explanation:

stocks a and b each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. the returns on the two stocks have a correlation of 0.6. portfolio p has 50% in stock a and 50% in stock b. which of the following statements is correct?

Answers

The correct answer is The standard deviation for Portfolio P is less than 25

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

Therefore, the standard deviation for Portfolio P is less than 25

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I need help right now!! The assignment I’m doing is about solving problems using division assignment!

Answers

Answer:

A

Step-by-step explanation:

The others involve more multiplication and addition/subtraction rather than division.

what is the difference between the critical value of z and the observed value of z (test statistic)?

Answers

The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.

A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.

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3(4x2) 5x = 6-7(-x-2)

Answers

Answer:

24

Step-by-step explanation:

A problem solving method that involves trying all possible solutions until one works is using ___________. a. an algorithm b. trial-and-error c. deductive reasoning d. a heuristic please select the best answer from the choices provided a b c d

Answers

The correct option  b. trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.

Explain the term trial-and-error?

Trial and error is attempting a way, seeing if it succeeds, and trying a different method if the first one doesn't.

Up till a solution or achievement is achieved, this procedure is repeated.A process of trying out several methods and recognizing and removing mistakes or reasons for a failure to determine the best strategy to achieve a goal or the best answer. also: attempting various things till something works. Finding the optimal approach to get the intended result through trial and error involves identifying and eradicating faults or failures using a variety of experimental methodologies.

Thus, trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.

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Maya spent 40% of her savings to pay for a bicycle that cost her $85. How much money was in her savings, to begin with? How much does she have left after buying the bicycle?

Answers

Answer: 212.50

Step-by-step explanation: she has 60% or  127.5

a small combination lock on a suitcase has ​wheels, each labeled with the 10 digits from 0 to 9. if an opening combination is a particular sequence of digits with no​ repeats, what is the probability of a person guessing the right​ combination?

Answers

The probability of a person guessing the right combination be

1/720.

Given, a small combination lock on a suitcase has ​wheels, each labeled with the 10 digits from 0 to 9.

we have to find the probability of a person guessing the right combination if there is no repeating of any digit.

as, we need three digit number to unlock the suitcase.

total combinations of the lock be,

10×9×8

= 720

only one combination can open the suitcase,

So, the probability of a person guessing the right combination be

1/720.

Hence, the probability of a person guessing the right combination be

1/720.

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consider slotted aloha with nodes retrying with probability p a. recall that when there are n active nodes, the probability that any node has successful transmission is np(1 − p)n−1. find the value of p that maximizes this expression. show your work. b. using the value of p found in (a), find the efficiency of slotted aloha by letting n approach infinity.

Answers

The efficiency of slotted aloha by letting n approach infinity is 1/e and the maximum value of probability is 1/n.

Given that:

No. of nodes = (n)

The efficiency of slotted aloha by letting n approach infinity is E (p)= np(1-p)^(n-1).

By derivation,

E' (p) =  n(1-p)^(n-1) - np(n-1)(1-p)^(n-2)

E' (p) =  n(1-p)^(n-2) x [(1- p) - p(n-1)]

E' (p) =  n(1-p)^(n-2) x [1-np]

Let E'(p) =0

i.e. Either,  n(1-p)^(n-2) = 0

=> p = 1 (minima)

Or [1-np] = 0

=> p = 1/n (maxima)

So, for the value of p* = 1/n, we can maximize this expression.

When  p = 1/n, the efficiency of slotted aloha is

E(p*) = n.1/n (1-1/n)^(n-1)

E(p*) = (1-1/n)^(n-1)

E(p*) = (1-1/n)^n/(1-1/n)

Since, [tex]\lim_{n \to \infty} (1-1/n) = 1\\[/tex]

[tex]\lim_{n \to \infty} (1-1/n)^n = 1/e[/tex]

So, when n approaches infinite,

Efficiency =>  [tex]\lim_{n \to \infty} E(p*) = 1/e[/tex]

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continue adding salt to the solution until undissolved salt remains on the bottom of the container. this is now a (a) solution because no more sodium chloride can dissolve. the simplest ratio of ions in the solution is (b) sodium ion to (c) chloride ion and the simplest ratio of ions bound in the solid is (d) sodium ion to (e) chloride ion. to what temperature will 8800 jj of heat raise 2.5 kg of water that is initially at 20.0 cc ? the specific heat of water is 4186 j/kgcj/kgc which food is the most likely source of the infection? which food is the most likely source of the infection? turkey sprouts tomato avocado consider the correlation between heights of fathers and mothers and the heights of their sons. refer to the accompanying technology output. should the multiple regression equation be used for predicting the height of a son based on the height of his father and mother? why or why not? Stock in Cheezy-Poofs Manufacturing is currently priced at $65 per share. A call option with a $65 strike and 90 days to maturity is quoted at $3.25. Compare the percentage gains and losses from a $21,125 investment in the stock versus the option in 90 days for stock prices of $55, $65, and $75. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Leave no cells blank - be certain to enter "0" and select "None" wherever required. Input all amounts as positive values. Omit the "%" sign in your response.)Options % Gain/LossStock % Gain/Loss$55$65$75 he ability to decode a new, previously unknown printed word, in or out of context, depends on (select all that apply): a. knowledge of phoneme-grapheme correspondences. b. knowing its part of speech. c. the ability to blend phonemes and graphemes quickly. d. previous knowledge of sight words. three pendulums all have the same arm length, and they all start their downward swings from the same height. the first pendulum has a mass of 67 g. the second pendulum has a mass of 1.5 kg. the final pendulum has a mass of 3.3 kg. assuming that the effects of air drag are negligible, which pendulum attains the highest speed? which of the following is not a part of inspiration? group of answer choices the pressure in the lungs increases. the rib cage moves up and out. the diaphragm contracts and moves down. the intercostal muscles pull the ribs outward. air rushes into the lungs. Identify the likely applications of the broken windows theory of social deviance. self-blaming attributions are most likely to be associated with a obsessive-compulsive disorder. b phobias. c depression. d schizophrenia. e personality disorders. If the cyclist wanted to travel at a speed of v2 = 3. 5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?. Assume Durango Co. has sales of $100,000 for the month of November. The company expects sales to grow 10% each month. Durango Co. collects 60% of sales in the month of sale and 40% in the month after sale. What should Durango Co. project for cash collections in December? The admission fee to play virtual reality is $12. It cost an additional x dollar to rent virtual reality equipment to play in the games. The total cost for 8 people to play virtual reality with equipment is $400. How much will it cost for one person to rent virtual reality equipment? A Congressperson who acts according to their own beliefs and conscience and whatthey see as the broad interests of society is known as?A TrusteeB LegislatorC DelegateD Partisan For every adenine on one strand of DNA, there is a thymine on the opposing strand of DNA. For every cytosine on one strand of DNA, there is a guanine on the opposing strand of DNA. This is becauseDNA strands are complementary with each other. if an atom has 12 electrons how many energy levels are used? PLSSSSS HELPPPP PLS IM TIMEDSelect all the correct answers.Which TWO traits should a good teacher possess?- be very curriculum oriented- be alert to any changes in students usual behavior- encourage the students to research and explore -take little interest in students overall grades- focus mainly on students academic performance last summer your family built a new shed in your backyard, which was promtply colonized by deer mice Please ANSWER ASAPDorothy is trying to prove that PQR is a right triangle. The vertices of PQR are at P(-2,5), Q(-1,1), and R(7,3). Which TWO slope calculations can she use to correctly show that PQR is a right triangle?Select TWO of the answers below. in the picture security a has a standard deviation of 15 and security b has 25. based on the assumption of the camp model, security b must have a higher rate of return in equilibrium. true false