A music-streaming service charges $9 per month for a single user. Additional users within the same household can be added for $3 per month.
Write an equation that shows how the monthly cost, y, depends on the number of additional users in the household, x.
Do not include dollar signs in the equation.
y=

Answer:

2(0.4)^-2 = 12.5

Step-by-step explanation:

do math noob

Answer:

65 2 point questions, 5 4 point questions

Step-by-step explanation:

write a system of equations:

let x be the number of 2 point questions and y be the number of 4 point questions

2x + 4y = 150

x + y = 70 (since there are 70 total questions)

x + y = 70

subtract x from both sides

y = -x + 70

substitute y = -x + 70 into 2x + 4y = 150

2x + 4(-x + 70) = 150

2x - 4x + 280 = 150

-2x = -130

x = 65

substitute x = 65 into x + y = 70

65 + y = 70

subtract 65 from both sides

y = 5

Answer:

Step-by-step explanation:

words type per minute =210/6

                                       =35

The standard deviation will be 6816.9645.

From the information given, the mean is 74000 and X is given as 60000.

P[(Z < (-60000 - 74000)/SD] = 0.02

Note that 0.02 will be -2.0537 under the normal distribution table.

-14000/SD = -2.0537

SD = -14000/-2.0537

SD = 6816.9645

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The number of minutes of the ride that are spent higher than 22 meters above the ground is; 2.64 minutes

We are given;

bottom of the Ferris Wheel is 4 meters off the ground.

Radius = diameter/2 = 24/2; r = 12 meters.

Thus, the center of the Ferris Wheel is 4 + 12 = 16 meters off the ground.

A horizontal line through the center of the Ferris Wheel is 16 meters off the ground, and therefore the lower half of the Ferris Wheel is always below 22meters.

The distance from the horizontal to 22 meters is 22 - 16 = 6 meters.

The angle between the horizontal and a radius to 22 meters is;

sin(θ) = 6/16

θ = sin⁻¹(6/16)

θ = 22.02°.

This angle height is on both sides of the Ferris Wheel and as such;

180° + (2 * 22.02) = 224.04° is always under 16 meters.

Thus, what is above 16 meters is 360° - 224.04° = 135.96°

Since it takes 7 minutes for 1 revolution, then the amount of time the Ferris Wheel is above 16 meters is;

(135.96/360) * 7 min ≈ 2.64 minutes

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Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.

The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:

G = Plane speed + Wind speed.

In this problem, we have that the speeds are given as follows:

Hence the ground speed is given by:

G = 400 + 110 = 510 knots.

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Step-by-step explanation:

first you should do is that find the common difference which is 9

The inequality which expresses the solution to the task is; x < 7.

According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;

let

The unknown number = x

sum of 8 and a number:

8 + x

sum of 8 and a number is less than 15:

8 + x < 15

x < 15 -8

x < 7.

Ultimately, the required inequality is; x < 7.

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The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.

Based on the graph of the two points, we can logically deduce the following information:

Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

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An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,

2x + y + 3x - y = 4 + 6

5x  = 10

Hence, the correct option is A, the sum will be equal to 5x = 10.

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Answer:

Step-by-step explanation:

there is no root in denominator so I think it is rationalised

Answer:

x = 20°

Step-by-step explanation:

(4x-10)+x=90

4x-10+x=90

4x+x-10=90

5x-10=90

5x=100

x=20

Answer:

20

Step-by-step explanation:

Straight line angles:

     Angles on a straight line add up to 180°.

 90 + 4x - 10 + x = 180

 90 - 10 + 4x + x = 180

Combine like terms.

         80 + 5x     = 180

Subtract 80 from both sides,

                 5x    = 180 - 80

                    5x = 100

Divide both sides by 5

                      x = 100 ÷ 5

                      [tex]\sf \boxed{x = 20^\circ}[/tex]

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

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The categories of nominal level distribution do not have to be listed in any particular order

These characteristics include:

Therefore, the categories of nominal level distribution do not have to be listed in any particular order

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a)The total inside length of the curved ends of the track will be 25.13 meters

b)The total distance around the inside of the track will be 275.13 meters

c)The area inside the track is 10050 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.

a) what is the total inside length of the curved ends of the track?

The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.

So the length will be = π r + πr = 2 πr

                                  = 2 x π x 4 = 25.13

b) what is the total distance around the inside of the track?

The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.

Total length = 125 + 125 + 25.13

                     = 275.13 meters

c) what is the area inside of the track?

The area will be equal to the area of the two semicircular tracks and the rectangular track.

Total Area = Area of semicircle + Area of semicircle + Area of rectangle

                  = ( π/2 ) r² + (π/2) r² + ( L x W )

                  =  π  r² + (  L x W)

                  = π ( 4 )² + ( 125 x 8 )

                  = 10050.26 square meters.

Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.

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Answer:

most likely b

Step-by-step explanation:

the more than symbol tells me that it is going to move past 10.

Answer:

continuous random variable

Answer:

in the pic...

Step-by-step explanation:

Hope it Helps!!!

Answer:

Step by step explanation:

The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.

We start by finding the type of proportionality we have.

In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.

We have only 5 workers left.

In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.

We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.

As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.

[tex]\rm 30 * 2/1 \: = 60 \: days[/tex]

By so

Answer:

1. -3(x+8) = -21
2. Division property of equality
3. x + 8 = 7
4. Subtraction Property of Equality

(Not quite sure whether #2 is division or distributive, but i'm 90% sure it's division).

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter [tex]d[/tex] use formula:

                                               [tex]d=2*r[/tex]

After substituting  [tex]r=5[/tex] we have:

                                             [tex]d=2*5\\d=10[/tex]

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference [tex]C[/tex] use formula:

                                                  [tex]C=2*r*\pi[/tex]

After substituting [tex]r=5[/tex] we have:

                                          [tex]C=2*5*\pi[/tex]

                                           [tex]C=10\pi[/tex]

Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

⇒ 31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area [tex]A[/tex] use the formula:

                                            [tex]A=r^2*\pi[/tex]

After substituting  [tex]r=5[/tex] we have:

                                           [tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]

Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

⇒ 78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.

Answer:

3n - 5

Step-by-step explanation:

f(n) = 3n - 5. Works for all of them

Answer:

no lo sd

Step-by-step explanation:

solo se que is really

In what? desmos, drawing?

Answer:

About 3.5

Step-by-step explanation:

To get slope, you essentially need to find the rise (the y values) over run (the x values). You'll most likely see the formula for slope written like this:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Thankfully, you have the values you need to solve the problem!

x1 = 2

x2 = 6

y1 = 7

y2 = 21

So plugging these numbers in, we get:

[tex] \frac{(21) - (7)}{(6) - (2)} \\ \\ \frac{14}{4} \\ \\ 3.5 [/tex]

[EDIT: I misread 6 as 5. Answer has been updated!]

Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

The height in feet that a person has fallen after t seconds is given by:

d = 16t².

In this problem, we want the time for a fall of 180 feet, hence.

[tex]16t^2 = 180[/tex]

[tex]t = \sqrt{\frac{180}{16}}[/tex]

t = 3.35

The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

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An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,

m = (-2 - 0)/(0-4)

m = -2/-4

m=1/2

m = 0.5

The equation now in point slope form can be written as,

(y+2) = 0.5(x+0)

y+2=0.5x

Hence, the equation of the line in point-slope form is y+2=0.5x.

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The equation of the parabola that has zeros of x = - 6 and x = 6 and a y-intercept of (0, 4) would be Y=-1/9(x^2-36).

Since the zeros are symmetrical to the y axis, the equation can be written as;

y = a(x-b)(x+b),

where a is a scale factor and b is x-intercept.

From the given zeroes

y = A(x-6)(x+6).

Now we can plug in the y-intercept (0,4)

4 = A(0-6)(0+6)

4 = A(-36)

-36A=4

A = -1/9

Therefore the equation would be

Y = -1/9(x-6)(x+6),

or Y=-1/9(x^2-36)

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Answer:

[tex] \frac{2}{33} [/tex]

Step-by-step explanation:

There are 22 cookies in all.

The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.

Answer:

1/2(8 + x)

Step-by-step explanation:

In this statement, it tells us to add 8 and x and then multiply that with 1/2.