Gary's is a small publishing company that publishes math books.
the production costs include a one time cost for editing which is $1050 for the book the company is currently working on. once the book is in production, the only cost will be the variable cost, of printing which is $15 per book. the company will market the book at a price of $35.
if you were to plot a graph of the profit generated by the book, what would the slope and y intercept represent?

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

y = \(\frac{25x+22}{6}\)

Step-by-step explanation:

express the ratios in fractional form

\(\frac{5x+2}{y-2}\) = \(\frac{6}{5}\) ( cross- multiply )

6(y - 2) = 5(5x + 2) ← distribute parenthesis on both sides

6y - 12 = 25x + 10 ( add 12 to both sides )

6y = 25x + 22 ( divide both sides by 6 )

y = \(\frac{25x+22}{6}\)

All angles of triangles is equal means that that triangle is equailateral triangle with side of a = 4 in.

The formula for the area of equilateral triangle is,

Substitute 4 for a in the formula to determine the area of the triangle.

So area of triangle is,

The statement that involves descriptive statistics is -

Option A) The Alcohol, Tobacco, and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997.

What are two categories of field statistics?

There are two categories of field statistics. Descriptive and inferential statistics. Both of them help analysts to make sense of row after row data.

Descriptive statistics presents quantifiable descriptions in a simple way. Inferential statistics is used to draw conclusions that go beyond the raw data only. It is used in making judgments, inferences to deeper general conditions.

The Alcohol, Tobacco, and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997.

Descriptive statistics are useful in describing the basic features of the data being analyzed. They simply provide what the raw data shows. They simplify huge amounts of data sensibly and make it presentable in a manageable form.

With regard to the question, raw data is available stating that the registered gun dealers were 1791 in 1997. It, therefore, involves descriptive statistics.

Therefore, the correct answer is option A.

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Which of the following statements involve descriptive statistics as opposed to inferential statistics?

A) The Alcohol, Tobacco, and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997.

B) Based on a survey of 400 magazine readers, the magazine reports that 45% of its readers prefer double-column articles.

C) The FAA samples 500 traffic controllers in order to estimate the percent retiring due to job-stress-related illness.

D) Based on a sample of 300 professional tennis players, a tennis magazine reported that 25% of the parents of all professional tennis players did not play tennis.

Answer:

  4

Step-by-step explanation:

When the dilation is about the origin, the scale factor is the ratio of the coordinates of the image to the original.

  A'/A = (-24/-6, 16/4) = (4, 4) . . . . scale factors are both 4 for x any y

The dilation scale factor is 4.

c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.

If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.

Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:

Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)

Increase = $1,115.00 * (0.08 * 2)

Increase = $1,115.00 * 0.16

Increase = $178.40

To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:

New Benefit = Original Benefit + Increase

New Benefit = $1,115.00 + $178.40

New Benefit = $1,293.40

Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.

The question was incomplete. find the full content below:

Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

a. $1,156.90

b. $1,209.35

c. $1,293.40

d. $1,315.50

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The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

9514 1404 393

Answer:

  1/10

Step-by-step explanation:

The product of fractions is the product of the numerators, divided by the product of the denominators.

  \(\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}\)

__

Additional comment

When working with fractions and percentages, you will find that "of" often means "times."

Answer: Shown down below

Answer:

10 + 2x

Step-by-step explanation:

we you started with 10 and you're adding 2 everytime

x = the number of times you do this

10 + 2x

Answer:

2n + 8

=> 10, 12 , 14, 16, 18, 20, 22, 24, ...

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

The following set of real numbers  R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...} is linear.

A set is a collection of well defined objects.

According the given set we have R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...}

The set is of real numbers and it is linear.We can define this linear relationship by for every 2 point right shift or run in x axis results in 1 point up shift in y axis or rise.

We know linear equation is of form y = mx + b. Where m is the slope and b is the y intercept.

Slope(m) = rise/run or (y₂ - y₁)/(x₂ - x₁).

lets take two pair of co-ordinates from he given set.

(x₁,y₁) = (2,3) and (y₁,y₂) = (4,4).

Slope (m) = (4 - 2)/(4 -3)

           m = 2.

Now the equation can be written as

y = 2x + b to find the y intercept we will put the values of x and y from any of the co-ordinate.

(x,y) = (2,3)

∴ y = mx + b

3 = 2(2) + b

b = -1.

∴ y = 2x - 1.

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Answer:

part A:

\(\sf AB^2 = (-2-1)^2 + (1+3)^2\)

\(\sf AB^2 =25\)

\(\sf AB =5\)

\(\sf AC^2 = (2-1)^2 + (4+3)^2\)

\(\sf AC^2 = 50\)

\(\sf AC = \sqrt{50}\)

\(\sf AC = 5\sqrt{2}\)

\(\sf BC^2 = (2--2)^2 + (4-1)^2\)

\(\sf BC^2 = 25\)

\(\sf BC = 5\)

use the formula:

short side² + short side² = long side²

( 5√2 )² + 5² = ( 5√2 )²

75 = 50

It's isosceles

\(\\ \rm\hookrightarrow AB=\sqrt{(-2-1)^2+(1+3)^2}=\sqrt{9+16}=\sqrt{25}=5\)

\(\\ \rm\hookrightarrow BC=\sqrt{(2+2)^2+(4-1)^2}=\sqrt{16+9}=5\)

\(\\ \rm\hookrightarrow AC=\sqrt{(4+3)^2+(2-1)^2}=\sqrt{50}\)

Its isosceles

Answer:

Your answer is x = 47.

Step-by-step explanation:

First, you need to move the constant to the right-hand side and change its sign.

4x = 180 + 8

Now, you need to add the numbers.

4x = 188

Last but not least, you need to divide both sides of the equation by 4, which gets you to:

x = 47

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

a or b but i think a

Step-by-step explanation:

Simplifying this equation, we get:

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

Therefore, the value of k is 1.

In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,

\(3x^2 + 2x - 1\)

is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.

The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.

Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.

We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:

\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)

where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.

Now, let's substitute x = 2 into the equation above:

\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)

Simplifying the left-hand side, we get:

\(8 + 4k + 4k + 6 = 30\)

\(16k = 16\)

\(k = 1\)

OR

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

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Answer:

Triangle SUT...

You can thank me in the commrent

Answer:

165

Step-by-step explanation:

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

0.25

Step-by-step explanation:

(76-74)/8

=2/8

=1/4

=0.25

Answer:

x=3; y=0

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Points   (-3,5)   and   ( 3,1)

distance d can be found using the distance formula ( modified Pyhtagorean theorem)

d^2 = ( x1-x2)^2 + ( y1-y2)^2

d^2 = ( -3 -3)^2  + ( 5-1)^2

d^2 = 36 + 16

d^2 = 52

d = sqrt(52) = 2 sqrt(13)

Answer:

Let s = smaller number

l = larger number

s + l = 31

2s = l + 11

2(31 - l) = l + 11

62 - 2l = l + 11

3l = 51, so l = 17 and s = 14.

The larger number is 17, and the smaller number is 14.

Number of cups are 32.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A dietitian prepares a high-protein drink for 24 residents.

And, Each drink measures 3/4 cup.

Let number of cups of the drink will she prepare = x

So, We get;

⇒ 3/4 × x = 24

⇒ x = 24 × 4 / 3

⇒ x = 32 cups

Thus, There are 32 total cups of the drink will she prepare.

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