6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?

Answer:

Draw rise on y-axis from (0,0)-(0,3). Draw run from (0,3) to (4,3). Rise/run=3/4

Answer:

Draw rise on y-axis from (0,0)-(0,3). Draw run from (0,3) to (4,3). Rise/run=3/4

Step-by-step explanation:

Hope this helps:)

Answer:

perimeter = 10 mm

Step-by-step explanation:

the perimeter is the sum of the 3 sides.

given perimeter = 24 , that is

w + 6 + 8 = 24

w + 14 = 24 ( subtract 14 from both sides )

w = 10 mm

Answer:

16 m^2

Step-by-step explanation:

Area of triangle = (Base * Height) / 2

Area of triangle = ( 8 * 4 ) / 2

Area of triangle = 16

To find the equation of a sphere given the endpoints of one of its diameters, we can use the midpoint formula to find the center of the sphere and then use the distance formula to find its radius.

Given the endpoints of one diameter as S(5, 4, 3) and T(1, 6, 29), we can find the midpoint M by taking the average of the coordinates:

M = ((5 + 1)/2, (4 + 6)/2, (3 + 29)/2)

M = (3, 5, 16)

The coordinates of the center of the sphere are (3, 5, 16).

Next, we find the radius by calculating the distance between one of the endpoints and the center of the sphere. Let's use the distance formula with endpoint S:

r = sqrt((5 - 3)^2 + (4 - 5)^2 + (3 - 16)^2)

r = sqrt(4 + 1 + 169)

r = sqrt(174)

Therefore, the equation of the sphere is (x - 3)^2 + (y - 5)^2 + (z - 16)^2 = 174.

To learn more about midpoint formula click here: brainly.com/question/30242630

#SPJ11

The positive integer +10 represents a gain of 10 yards on the football play.

A gain of 10 yards on the football play signifies that a team has improved on their position in the game.

Assuming they started from 0 the are along the positive direction of the axis by 10 units or yards.

Hence the integer to represent this is given by +10 a positive integer of 10 units.

Integer examples include positive, negative, and zero. The word "integer" means "whole" or "intact" in Latin. As a result, integers do not contain fractions or decimals.

Neither negative numbers nor all whole numbers are regarded as integers. This indicates that when negative numbers are added to whole numbers, an assortment of integers is the outcome. A number without a decimal or fractional element is called an integer, and it can consist of both positive and negative integers, including zero.

To learn more about integer visit :

https://brainly.com/question/15276410

#SPJ9

Answer:

A) Length = 110.4 mm and width = 62.1 mm

B) A = 6855.84 mm²

C) length = 114.7 mm

width = 55.8 mm

Area = 6400.26 mm²

D) Screen with aspect ratio of 16:9 is bigger

Step-by-step explanation:

A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.

To find the side length, we will say that;

length = 16x

width = 9x

Thus, since the edges are perpendicular, then we can use pythagoras theorem since we know that the diagonal is 127 mm

Thus;

(16x)² + (9x²)] = 127²

256x² + 81x² = 16129

337x² = 16129

x² = 16129/337

x = √(16129/337)

x = 6.9

Thus;

length = 16x = 16 × 6.9 = 110.4 mm

width = 9x = 9 × 6.9 = 62.1 mm

Length = 110.4 mm and width = 62.1 mm

B) area of screen is;

A = length × width

A = 110.4 × 62.1

A = 6855.84 mm²

C) We are told that the aspect ratio is now 18.5:9.

Thus;

length = 18.5x

width = 9x

Thus;

(18.5x)² + (9x²)] = 127²

342.25x² + 81x² = 16129

423.25x² = 16129

x² = 16129/423.25

x = √(16129/423.25)

x = 6.2

length = 18.5x = 18.5 × 6.2 = 114.7 mm

width = 9x = 9 × 6.2 = 55.8 mm

Area = 114.7 × 55.8 = 6400.26 mm²

D) Screen with aspect ratio of 16:9 is bigger

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

complimentary angles equal 90 degrees so 1 and 2, 3 and 4, 9 and 10, 11 and 12 would be complimentary

supplementary angles equal 180 degrees so 6 and 5, 5 and 7, 7 and 8, and 8 and 6 would be supplementary

First, a complementary angle are two angles that add up to 90. while supplementary add up to 180.

Complementary angles; 1 & 2, 3 & 4, 9 & 10, 11 & 12. (these all make one line which equals 180.)

Supplementary angles; 7 & 8, 5 & 7, 6 & 5, 8 & 6. (these all make up a 90 degree angle.)

Hope this helps. <3

Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

Answer:

19

Step-by-step explanation:

Because 20-1=19

The inequality to represent the solution graphed is x ≥ -2

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

The number line

On the number line, we have the following

The above means that we make use of the greater than or equal to symbol

This is because the closed circle uses ≤ or ≥ while arrows pointing right means ≥

So, we have

x ≥ -2

Hence. the inequality that best describes the included values of x is x ≥ -2

Read more about inequality at

brainly.com/question/25275758

#SPJ1

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

To know more about point , visit:

https://brainly.com/question/26310043

#SPJ1

Answer:

Your answer is: 4v5i

Step-by-step explanation:

Hope this helped : )

Let the cost of the dining table is 100%

∵ It sells with a 30% markup

→ That means the selling price of the table will be 100% + 30%

∴ The selling price of the table = 130% of the cost price

∵ The cost price of the table = $130

∴ The selling price of the table = 130% x 130

→ Change the percentage to a decimal by divide it by 100

∴ The selling price of the table = 1.30 x 130 = 169

∴ The selling price of the dining table is $169

Therefore, the second Taylor polynomial for the function \(f(x) = e^x * cos(x)\) about x₀ = 0 is p₂(x) = 1 + x.

To find the second Taylor polynomial for the function \(f(x) = e^x * cos(x)\) about x₀ = 0, we need to find the values of the function and its  derivatives at x₀ and then construct the polynomial.

Let's start by finding the first and second derivatives of f(x):

\(f'(x) = (e^x * cos(x))' \\= e^x * cos(x) - e^x * sin(x) \\= e^x * (cos(x) - sin(x)) \\f''(x) = (e^x * (cos(x) - sin(x)))' \\= e^x * (cos(x) - sin(x)) - e^x * (sin(x) + cos(x)) \\= e^x * (cos(x) - sin(x) - sin(x) - cos(x)) \\= -2e^x * sin(x) \\\)

Now, let's evaluate the function and its derivatives at x₀ = 0:

\(f(0) = e^0 * cos(0) \\= 1 * 1 \\= 1 \\f'(0) = e^0 * (cos(0) - sin(0)) \\= 1 * (1 - 0) \\= 1\\f''(0) = -2e^0 * sin(0) \\= -2 * 0 \\= 0\\\)

Now, we can construct the second Taylor polynomial using the values we obtained:

p₂(x) = f(x₀) + f'(x₀) * (x - x₀) + (f''(x₀) / 2!) * (x - x₀)²

p₂(x) = 1 + 1 * x + (0 / 2!) * x²

p₂(x) = 1 + x

To know more about second Taylor polynomial,

https://brainly.com/question/31946118

#SPJ11

The second Taylor polynomial P2(x) for the function f(x) = e^x * cos(x) about x0 = 0 is P2(x) = 1 + x.

To find the second Taylor polynomial, denoted as P2(x), for the function f(x) = e^x * cos(x) about x0 = 0, we need to calculate the function's derivatives at x = 0 up to the second derivative.

First, let's find the derivatives:

f(x) = e^x * cos(x)

f'(x) = e^x * cos(x) - e^x * sin(x)

f''(x) = 2e^x * sin(x)

Now, we can evaluate the derivatives at x = 0:

f(0) = e^0 * cos(0) = 1 * 1 = 1

f'(0) = e^0 * cos(0) - e^0 * sin(0) = 1 * 1 - 1 * 0 = 1

f''(0) = 2e^0 * sin(0) = 2 * 0 = 0

Using the derivatives at x = 0, we can construct the second Taylor polynomial, which has the general form:

P2(x) = f(0) + f'(0) * x + (f''(0) / 2!) * x^2

Plugging in the values, we get:

P2(x) = 1 + 1 * x + (0 / 2!) * x^2

= 1 + x

Therefore, the second Taylor polynomial P2(x) for the function f(x) = e^x * cos(x) about x0 = 0 is P2(x) = 1 + x.

Learn more about taylor polynomials at https://brainly.com/question/31946118

#SPJ11

Answer:   x

=

19

1

3

Step-by-step explanation:

6

14

=

7

x

−

3

Rewrite the equation as

7

x

−

3

=

6

14

.

7

x

−

3

=

6

14

Cancel the common factor of

6

and

14

.

Tap for more steps...

7

x

−

3

=

3

7

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

7

⋅

7

=

(

x

−

3

)

⋅

3

Solve the equation for

x

.

Tap for more steps...

x

=

58

3

The result can be shown in multiple forms.

Exact Form:

x

=

58

3

Decimal Form:

x

=

19.

¯

3

Mixed Number Form:

x

=

19

1

3

Answer: The first one, y = (x + 3)² - 2.

Step-by-step explanation:

     To solve this question, we can see that the given function and the answer options are in different equation forms. The given is in standard, but the answer options are in vertex. We will change the given function into vertex form. This is also known as completing the square.

y = x² + 6x + 7

y = (x² + 6x) + 7

y = (x² + 6x + \(\frac{6}{2} ^2\) -  \(\frac{6}{2} ^2\)) + 7

y = (x² + 6x + 9) + 7 - 9

y = (x² + 6x + 9) - 2

     y = (x + 3)² - 2

     Now, we can see the correct answer option is the first one;

                 "y=(x+3)2−2"

Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = \((7 * 6)/2\)

                   = 21

  Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.

Learn more about hats, bracelets, and selfie probability at: https://brainly.com/question/3900299

#SPJ11

Step-by-step explanation:

a) Area=144m²

side²= 144

side=12m

b) perimeter=32m

4×side=32

side=32/4

side=8m

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

For such more question on probability

https://brainly.com/question/30390037

#SPJ8

Answer:

the answer is 2a and 4b

Step-by-step explanation:

Chance/random causes: Raw material variation, machine errors, environmental factors. Assignable causes: Equipment malfunction, operator errors, process parameter changes.

Chance/random causes of variation are inherent in any process and are typically beyond the control of individuals or organizations. These sources of variation arise from natural variability in the system and cannot be eliminated completely.

For example, in manufacturing, variations in raw materials such as moisture content, density, or chemical composition can impact product quality. Random machine errors, influenced by electrical noise or mechanical wear, can also introduce variation. Unpredictable environmental factors like temperature or humidity can further contribute to chance causes.

To know more about malfunction visit -

brainly.com/question/14569065

#SPJ11

\(\\ \sf\bull\longmapsto f(x)=4x+10\)

\(\\ \sf\bull\longmapsto f(3)\)

\(\\ \sf\bull\longmapsto 4(3)+10\)

\(\\ \sf\bull\longmapsto 12+10\)

\(\\ \sf\bull\longmapsto 22\)

Answer:

f(3) = 22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 4(3) + 10 = 12 + 10 = 22

Answer:

what grade is this?

Step-by-step explanation:

Answer:

Choice letter C most quickly reveals the y intercept; the y intercept is (0,8).

Step-by-step explanation:

The equations given are all different equations for the same parabola! The one that most quickly provides us with the y intercept is letter C!

Why? Well, letter C is in standard form aka the most basic quadratic formula :

\(ax^2+bx+c=0\)

Ironically enough, variable c always states the y intercept in equations as such. Variable c, in this case - is 8. Which means the y intercept is 8!

Now, you'll notice that choice B also mentions + 8 in it's formula, this is true - but in this case it refers to one of the x intercepts (which is actually -8!)

Hope I was of assistance! #SpreadTheLove <3

The y-intercept for the equation is 8, and the equation reveals the intercept most quickly by option C.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given  a function in three equivalent forms,

to find the y-intercept,

the y-intercept is the point on the y-axis where the value of x is zero,

f(x) = -1/2(x + 3)² + 25/2

f(x) = -1/2(x - 2)(x + 8)

f(x) = -1/2x² - 3x + 8

to find the y-intercept easily the equation should be in form,

ax² + bx + c

where c is the y-intercept,

only 3rd equation is in the form of ax² + bx + c from where y-intercept can be found easily,

f(0) = 8

Hence y-intercept is 8 and with equation f(x) = -1/2x² - 3x + 8 we can calculate it quickly.

Learn more about functions;

https://brainly.com/question/21145944

#SPJ2

Answer:

I am pretty sure it is y=-x/2 +3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+2y=6

subtract x

2y=6-x

Divide 2

y=3\(-\frac{1}{6}x\)

Put equation in y=mx+b form

y=\(-\frac{1}{6}x\)+3

The expression that represents the total cost of renting a truck and traveling 'n' miles will be 1.50n + 75 = C.

So, the expression to represent the total cost will be:

The expression that gives the total cost.

Let, the number of miles are 'n' and the total cost be 'C'.

Now,

Therefore, the expression that represents the total cost of renting a truck and traveling 'n' miles will be 1.50n + 75 = C.

Know more about expressions here:

https://brainly.com/question/28934492

#SPJ1

The lengths of the shadows are:

B.  x = 1.8 m,  y = 4.08 m

D. x= 0.6 m, y= 1.36 m

The relationship between the height and shadow length is a direct proportion. That is, the higher the height, the longer the shadow and vice versa. The ratio of height to shadow length is a constant.

Thus, if x and y are are the length of shadow of tether ball pole and flagpole receptively.

6.8/y = 3/x

y = 6.8x/3

A. When x = 1.35 m

y =(6.8*1.35)/3 =3.06 m

B. When x = 1.8 m

y= (6.8*1.8)/3 = 4.08 m

C. When x= 3.75 m

y=(6.8*3.75))/3 = 8.5 m

D. When x= 0.6

y= (6.8*0.6)/3 = 1.36 m

E. When x=2

y= (6.8*2)/3 = 4.533 m

Therefore, B and D are the true answers.

Learn more about proportional relationship on:

brainly.com/question/12242745

#SPJ1

Complete Question

See attached image

Answer:

they are 4 i think

Step-by-step explanation:

5 x 4 = 20

Answer:

100

Step-by-step explanation:

20 divided by 1/5 = 20 x 5/1 = 100