a cell phone factory has a cost of production c(x)=180x 8400 and revenue function r(x)=210x. what are the coordinates of the break-even point?

Answer: 12 dollars

Step-by-step explanation:

they try to confuse you but really it rounds back to 100 percent. its 12 dollars.

Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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Answer: I’ll help

Step-by-step explanation:

Answer: The answer is 4x - 10.

Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.

Answer:

4x-5

Step-by-step explanation:

Answer:

A, F

Step-by-step explanation:

It is scalene since all side lengths are of different lengths.

It is not equilateral since side lengths are all of different lengths.

It is not isosceles since no two angles are the same.

It is not obtuse because no angle is greater than 90 degrees.

It is not right because no angle is of 90 degrees.

It is acute because all angles are less than 90 degrees.

Answer:

Step-by-step explanation:

Bob's portion of the allotment :

\(Total\:ratio=3+2 =5\\\\= \frac{2}{5}\)

Alice's portion :

\(Total\:ratio=3+2 =5\\\\= \frac{3}{5}\)

Vegetables are :

\(Total\:ratio=7+3 =10\\\\= \frac{7}{10}\) of the total area

Vegetables are :

\(Total\:ratio=4+1 =5\\\\= \frac{4}{5}\) of Alice's portion, or:

\(\frac{4}{5} \times(\frac{3}{5} ) = \frac{12}{25}\)

Bob's portion fraction (b):

\(\frac{12}{25} + b = \frac{7}{10}\)

L.C.M of 25 and 10 =50

\(\frac{24}{50} + b = \frac{35}{50} \\\\b =\frac{11}{50}\\\\ Ratio:\\50 - 11 = 39\)

Bob's vegetable to fruit ratio is 11 : 39

Answer:

K = 19

Step-by-step explanation:

X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

The maximum value of f(x, y) - 28 - x² - y² on the line x + 5y = 26 is -25. The volume of the region cut from the solid elliptical cylinder x² + 16y² ≤ 16 by the xy-plane and the plane z = x + 4 is 48π.

The maximum value of the function f(x,y) = -28 - x² - y² on the line x + 5y = 26 can be found by substituting the value of x in terms of y from the given equation into the function and then maximizing it. The equation x + 5y = 26 can be rearranged as x = 26 - 5y. Substituting this into the function, we get g(y) = -28 - (26 - 5y)² - y².

Simplifying further, we have g(y) = -28 - 676 + 260y - 25y² - y². Combining like terms, g(y) = -705 - 26y² + 260y. To find the maximum value, we can differentiate g(y) with respect to y, set it equal to zero, and solve for y. After finding the value of y, we can substitute it back into the equation x + 5y = 26 to find the corresponding value of x. Finally, we substitute these values into the original function f(x, y) to obtain the maximum value.

To calculate the volume of the region cut from the solid elliptical cylinder x² + 16y² ≤ 16 by the xy-plane and the plane z = x + 4, we need to find the intersection points of the ellipse x² + 16y² = 16 and the plane z = x + 4. We can substitute x and y from the equation of the ellipse into the equation of the plane to obtain z in terms of x and y.

Then, we integrate the expression (x + y + z) / (x² + y² + 2²) over the given path r(t) = 3t i + (1 + 3t) j + 2t k by substituting the corresponding values of x, y, and z into the integrand and integrating with respect to t over the given range. The exact answer will be obtained by evaluating the integral.

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The unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters is\(9.\)

A triangle  can be referred to as a polygon with three edges and three vertices.

we can arrange length of one side of a unique triangle in 3 different ways.

Let x,y,z be the length of the three sides.

For triangles to be unique, length of one side can be arranged in 3 different ways.

Then, length of 6.5 cm can be at maximum three positions which is x,y,z.

The 2.5 cm lenght can appear to be at maximum three positions which is  x,y,z.This can as well be done for 6cm.

Therefore, total ways of making unique triangles\(= (3 + 3+ 3)= 9\)

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Answer:

1

Step-by-step explanation:

Given:

What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?

​Solve:

Define:

What is a unique triangle?

Only one way to create triangle.

Are congruent which means same.

As you may know the word "Unique"

which means : original and unique designs

So without even solving we can see that there is only "One" way .

Kavinsky

The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C

In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.

In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.

Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.

Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.

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Answer:

The Properties of parallelogram are

a) Opposite sides are equal

b) All angles are not 90°

The Properties of trapezium are

a) One pair of opposite side is parallel

b) side of adjacent angle and non parallel side

of trapezium is 180°

The Properties of rhombus are

a) All sides are equal

b) All angles are not 90°

Answer:

about 300 million people and i didnt look it up i am just say 300 million because 3 is a good number and there are three types of rocks three types of clouds and three countrys in north america

im guessing infinite amount of people have died

45 used to be presidents duh because obama was the 44th president

and that last question is unanswerable

Step-by-step explanation:

also this is me 1087945

give me another one tomorrow

Answer:

It will be 180 because 2/5 of means 2 in 5 then in ,450 you need to know 2/5 of 450 which gives you 180

The missing value, rounded to the nearest hundredth, is approximately 54.46 degrees.

The equation sin ___ = 7/12 suggests that we need to find an angle whose sine is equal to 7/12. To determine the missing value, we can use the inverse sine function, also known as arcsine or sin^-1.

Using the inverse sine function, we can write the equation as ___ = sin^-1(7/12). Evaluating this expression with a calculator or a trigonometric table, we find that sin^-1(7/12) is approximately 54.46 degrees.

It's important to note that trigonometric functions have periodicity, meaning that there are multiple angles that have the same sine value. Therefore, there are other angles, such as 180 degrees minus 54.46 degrees, that also satisfy sin ___ = 7/12. However, when finding a single missing value, we typically consider the principal value within a specified range, often from -90 degrees to 90 degrees.

Thus, rounding to the nearest hundredth, the missing value that satisfies sin ___ = 7/12 is approximately 54.46 degrees.

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Answer:

4/15 was left over from is salary.

Step-by-step explanation:

Common denominator is 15. 5/15+6/15= 11/15.

15/15-11/15= 4/15.

If Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport then 4/15  fraction of his salary was left.

A fraction represents a part of a whole.

Let us consider the salary of Hassan as 1.

Mr Hassan spent 1/3 of his salary on food

2/5 of the salary on transport.

We need to find the fraction of his salary left.

We need to subtract 1/3 and 2/5 from 1

1-1/3-2/5

LCM of 3 and 5 is 15

15-5-6/15

4/15

Hence, 4/15 is the fraction of Hassan salary was left

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An equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

Given that;

The cost of tickets for a specific series of concerts is set by a concert venue. The sales team discovers that 1,000 people on average attend concerts with tickets costing $38. The average attendance increases by 50 persons for every $5 decrease in price. Then,

Let 'T' be the number of times the price is decreased.

So, price;

     p = 38 – 5x

     x = (38 - p) / 5

And as per the given condition attendance;

a = 1000 + 50x

So, the Revenue is;

To develop an equation for revenue (r) as a function of p, the price of tickets;

R = p * a

R= p * (1000 + 50x)

But,  x = (38 - p) / 5

Then,

R = P * (1000 + 50(38 - p)/5)

  = p * (1000 + 380 - 10p)

  = p * (1380 – 10p)

  = 1380p - 10p²  → (I)

To get R(25) from (I);

R(25) = 1380(25) - 10(25)²

         = 34500 - 6250

         = 28250

Hence, an equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

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The equation of a line in point-slope form is y - 5 = 3( x - 1).

Equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.The slope of a line is defined as the rate of change of the y-axis with respect to the x-axis.

We know the equation of a line in point-slope form is y - y₁ = m(x - x₁).

Given P = (x,y) and Q = (1,5) or (x₁, y₁).

∴ Equation of a line in point-slope form given (x₁,y₁) = (1,5) and slope(m) = 3 is y - 5 = 3( x - 1).

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The vector v that satisfies the conditions is v = (2 1 2). It has a length of 4, which is the length of its orthogonal projection onto u, and it forms an angle of 60° with u.

To find a vector v that satisfies the given conditions, we can use the concept of vector projection. Let's denote the orthogonal projection of v onto u as proj_u(v).

First, find the magnitude of u: ||u|| = sqrt(2^2 + 1^2 + 2^2) = sqrt(9) = 3.

We know that the length of the orthogonal projection of v onto u is given by: ||proj_u(v)|| = ||v|| * cos(theta), where theta is the angle between u and v.

In this case, we want ||proj_u(v)|| = 2, and the angle between u and v is 60° (or pi/3 in radians).

Therefore, we have: 2 = ||v|| * cos(pi/3).

Simplifying, we get: ||v|| = 2 / cos(pi/3) = 4.

Now, we need to find the direction of v. Since the angle between u and v is 60°, we can create a vector v that is a scalar multiple of u with the same angle.

Let's define v as v = k * u, where k is a scalar.

To determine the value of k, we can use the dot product formula: u · v = ||u|| * ||v|| * cos(theta).

Substituting the given values: (2 1 2) · (k * 2 1 2) = 3 * 4 * cos(pi/3).

Solving this equation, we get: 6k = 12 * (1/2) => k = 1.

Therefore, v = u = (2 1 2).

In summary, the vector v that satisfies the conditions is v = (2 1 2). It has a length of 4, which is the length of its orthogonal projection onto u, and it forms an angle of 60° with u.

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Answer:

3 9 . 1 2 5

Step-by-step explanation:

1) Shift the decimals of both 3.13 and 0.08 to the right by 2 decimal places. (This is needed to convert 0.08 to 8, since long division must divide by a whole number.)

313 ÷ 8

2) Use the algorithm method.

3 9 . 1 2 5

8 | 3 1 3 .  

2 4    

7 3 .  

7 2 .  

1 . 0  

8  

2 0

1 6

4 0

4 0

Thank you,

Eddie

Answer:

3 3/7 minutes

Step-by-step explanation:

This calculated using the formula:

1/x + 1/y = 1/n

Where

x = Number of minutes it took Ann to walk = 6 minutes

y = Number of minutes it took Alek to walk = 8 minutes

n = Number of minutes it would take An and Alek to reach the starting point at the same time

1/6 + 1/8 = 1/n

Lowest Common Denominator = 24

4 + 3/24 = 1/n

7/24 = 1/n

Cross Multiply

7n = 24

n = 24/7

n = 3 3/7 minutes

It would take them 3 3/7 minutes to reach the starting point at the same time.

The equation of the linear function represented by the table in slope-intercept form is: y = -2x - 1.

We may utilize the slope-intercept form of a linear equation, which is provided by: to obtain the equation of the linear function represented by the table.

y = mx + b

where "m" represents the slope of the line, and "b" represents the y-intercept.

To calculate the slope (m), we can use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Calculate the slope using the points (x₁, y₁) = (1, -3) and (x₂, y₂) = (4, -9):

m = (-9 - (-3)) / (4 - 1)

m = (-9 + 3) / (4 - 1)

m = -6 / 3

m = -2

Now that we have the slope, we can use it to solve for the y-intercept (b) by substituting it for one of the points (x, y) = (1, -3) in the slope-intercept form equation:

y = mx + b

-3 = -2(1) + b

-3 = -2 + b

b = -3 + 2

b = -1

As a result, y = -2x - 1 serves as the equation of the linear function shown in the table in slope-intercept form.

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The rule is

The sum of two sides of a triangle must be greater than the third side

Here

Hence answer is 0 triangles

Answer:
NONE

hope this helped (i took the quiz)

Answer:

1080in³

Step-by-step explanation:

the formula for a rectangular prism is length×width×height

So 15x12=180

next 180x6=1080

So the amount of juice you can put in is 1080in³

Answer:

Use multiplication and dividing.

Step-by-step explanation:

If you want to convert to a smaller unit, you must multiply.

For example...

4 Feet to Inches:

\(4 * 12 =48\) inches

2 Yards to Inches:

\(2 * 3 = 6\) feet

\(6 * 12 = 72\) inches

If you want to convert to a larger unit, you must divide.

336 Inches to Feet:

\(336/12=28\) feet

756 Inches to Yards:

\(756/12=63\) feet

\(63/3=21\) yards

Answer:

A.) 64°

B) 116°

C.) 32°

Step-by-step explanation:

Given that ΔDEG and ΔEGF are isosceles ;

∠EDG = 64º

Therefore ∠EDG = ∠DGE = 64º (Base Angle of an isosceles triangle are equal)

B.) ∠EGF + ∠DGE =180° (SUM OF ∠s on a straight line)

∠EGF + 64° = 180°

∠EGF = (180 - 64) = 116°

C.) x° = ∠EDG (BASE angles of an isosceles triangle are the same)

2x° + 116° = 180° (sum of angles in a triangle)

2x = 64°

x = 32°

Answer:

13 bottles of apple juice and 2 bottles of orange juice.

i think :))

Step-by-step explanation:

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12/x2+7x

hope it is right

Answer:

12 / x2 + 7x

Explanation:

Multiply the fractions

12/ x · (x + 7)

Distribute x

12/ x2 + 7x