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Answer:

(140, 30,072) and (380, 19608).

Step-by-step explanation:

We are given that the revenue function for selling the kitchen table given its price is:

[tex]R(x)=-0.68x^2+310x[/tex]

And the cost function is:

[tex]C(x)=-43.6x+36176[/tex]

At the breakeven point, the revenue equals the cost. Therefore:

[tex]R(x)=C(x)[/tex]

Substitute:

[tex]-0.68x^2+310x=-43.6x+36176[/tex]

We can solve for x.

Adding 0.68x² to both sides and subtracting 310x from both sides yields:

[tex]0.68x^2-353.6x+36176=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:

[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]

So, our two solutions are:

[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]

Use a calculator:

[tex]x\approx 380\text{ or } x\approx 140[/tex]

Our answers are:

(140, 30,072) and (380, 19608).

Answer:

(140, 30,072) and (380, 19608)

Step-by-step explanation:

i got it right

Answer:

C = 88

Step-by-step explanation:

So, we know that the circle passes thru the point (20,2), and it's center is (6,2).

The general definition of a circle's radius is the distance from the center to any point on the circle!

Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!

[tex]20 - 6 = 14\\r=14[/tex]

Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:

[tex]r2\pi \\or\\d\pi[/tex]

Insert the values into the equation....

[tex]C = 3.14(14)(2)\\C=87.92[/tex]

87.92 ≈ 88.00

Have a nice day, fam. Spread The Love <3

Answer:

n = -7

Step-by-step explanation:

Use distributive property:

7n - 32n - 16 = 159

Combine like terms

-25n - 16 = 159

Add 16 to both sides to isolate variable n

-25n = 175

Divide both sides by -25 to isolate variable n

n = -7

Check your work:

7(-7) - 32(-7) - 16 = 159

-49 + 224 - 16 = 159

159 = 159

Answer:

a_{n} = a_{1} + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.

Answer: -2

Step-by-step explanation:

When x is 0, y is -2.

Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.

Answer:

Step-by-step explanation:

y= -1/4x

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...

  2(10x -23)° +106° = 360°

  2(10x -23) = 254 . . . . . . . . divide by °, subtract 106

  10x -23 = 127 . . . . . . . . . divide by 2

  10x = 150 . . . . . . . . . . add 23

  x = 15 . . . . . . . . . . . divide by 10

Area of triangle: 3m

Area of rectangle: 24m

Area of semi-circle: 6.28m

Answer:

33.28 m²

Step-by-step explanation:

The figure consists of three shapes:

1) A semicircle of radius 2 m.

2) A rectangle 4 m by 6 m.

3) A triangle with base 3 m and height 2 m.

area = ½πr² + LW + ½bh

area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2

area = 6.28 m² + 24 m² + 3 m²

area = 33.28 m²

Answer:

3

Step-by-step explanation:

I think

Answer:

less than or equal to 3

Step-by-step explanation:

Answer: Tom has run 9 miles so far

Step-by-step explanation:

3/4 of 12 if equal to 9

Answer:

9 miles

Step-by-step explanation:

3 is 25 percent of 12.

to figure out how much he runs in 755 of two miles you multiply 3x3=9.

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

Answer:

The numbers 6, 9 , and 42

Step-by-step explanation:

Fraction

6/10

9/100

42/100

Decimal

0.6

0.09

0.42

Percent

60%

9%

42%

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

To get more about ratios visit:

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Answer:

A sample of 6758 would be needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.

This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?

This is n for which M = 0.01. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]

[tex]n = 6757.5[/tex]

Rounding up:

A sample of 6758 would be needed.

Answer:

3/4

Step-by-step explanation:

Tangent is opposite/adjacent

Therefore, 6/8 would be the answer which simplifies to 3/4.

Answer:

7 will lie on 0 and 1 and 1/2

Answer:

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

Because:

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

Step-by-step explanation:

Given

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

Because

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

Required

Fill in the box

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

This can be written as:

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

Solve the numerator

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

(b) Because

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

The above implies that

[tex]\frac{1}{4}[/tex] be added in 3 places

i.e.

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

Answer

(tan x + 3)=5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.

Answer:

yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.

Answer:

0.44

Step-by-step explanation:

44/100 as a decimal is 0.44.

Hope this helped!!!

The decimal equivalent to the fraction 44/100 is 0.44.

We have,

To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):

44 ÷ 100 = 0.44

The concept used to find the decimal equivalent of a fraction is division.

By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.

Therefore,

The decimal equivalent to the fraction 44/100 is 0.44.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

36.6

Step-by-step explanation:

The amount of area Lisa will paint is 288 square inches.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to determine the area Lisa will paint:

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

Triangular prisms (1) to (6)

The area Lisa will paint is the literal surface of the shape

Using the above as a guide, we have the following:

Literal Area = (a + b + c) * h

Where

a, b and c = 6, 8 and 10

h = 12

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

Literal Area = (6 + 8 + 10) * 12

Evaluate

Literal Area = 288

The above is the literal surface area of the prism

Read more about surface areas at

brainly.com/question/26403859

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Answer:

2 is a constant

3y + 5x + 2 is written as a sum of three terms

Answer:

X=9.8

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin33=x/18

X=18sin33=9.8

Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)

Answer: C. Use the numbers 1-3 to represent all the outcomes.

Step-by-step explanation: I got this question correct on Edmentum.

Answer:

c

Step-by-step explanation:

hope it helps

Answer:

First Question:

A) -15+20x B) 36x+28

Second Question:

-10/5, 1/25, 1/2, 3/5, 5/8

Answer: 4.40

Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11

so 4.40x2.5=11

Answer:

546EEergh

Step-by-step explanation:

455/4355