NEED ASAP plz. I will also mark brainiest! Don't just take points, I will report you.

The graph attached shows the functions f(x), p(x), and g(x):

Part A: What is the solution to the pair of equations represented by p(x) and f(x)?

Part B: Write any two solutions for f(x).

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.

The publisher should produce and sell approximately 4480 books in order to break even on the total costs of production.

The problem requires figuring out when the revenues from selling the book will equal the total cost of production. This is a problem in algebra.

The one-time fixed costs total $45,920, and the variable costs per book are $11.25. The books will be sold for $21.50 each.

Step 1: Set up an equation

Let x be the number of books that need to be sold. The equation is then: 45920 + 11.25x = 21.50x.

Step 2: Solve for x

Subtract 11.25x from each side to isolate the variable on one side giving you: 10.25x = 45920. Then, divide both sides by 10.25 to derive x. So, the equation is x = 45920 / 10.25.

Step 3: Derive the solution

By doing the calculation, x approximately equals 4480. Thus the publisher needs to sell just about 4480 books to break even.

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The publisher must produce and sell 4,478 books to cover total production costs. They need to break even by equating total costs with total revenue, using the formula FC + (VC × N) = P × N, and solving for N after substituting the given fixed costs, variable costs per book, and price per book.

To determine how many books a publisher must produce and sell to cover production costs, the following formula is used:

To break even, TC must equal TR. This can be expressed as:

FC + (VC × N) = P × N

Now we substitute the given values:

$45,920 + ($11.25 × N) = $21.50 × N

To find N, we solve the equation for N:

Therefore, the publisher must produce and sell 4,478 books to cover total production costs.

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Answer:

OPTION A 755m^2;815m^2

Step-by-step explanation:

I hope it really helps I know everyone always needs help from time to time best of luck!

Answer:

And step-by-step explanation

Answer:

x = 46°

Step-by-step explanation:

The angle 69° and z form a straight angle and are supplementary, thus

z = 180° - 69° = 111°

The sum of the 3 angles in a triangle = 180°, hence

x = 180° - (111 + 23)° = 180° - 134° = 46°

Answer:

A.

Statement: ∠6 ≅ ∠14

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

Step-by-step explanation:

In the figure attached, a plot of the problem is shown.

Given p || q and r is a transversal which cut p and q, then ∠1 ≅ ∠5 and ∠2 ≅ ∠6.

Given r || s and q is a transversal which cut r and s, then ∠6 ≅ ∠14 and ∠8 ≅ ∠16.

From the picture we see that ∠1 and ∠2 are supplementary, that is, their addition is equal to 180º. ∠2 ≅ ∠6 and ∠6 ≅ ∠14, then ∠2 ≅ ∠14, in consequence ∠1 and ∠14 are supplementary.

To prove that ∠1 and ∠14 are supplementary angles, given that p || q, and r || s, the next logical step in the proof is statement: ∠6 ≅ ∠14, with the reason being: for parallel lines cut by a transversal, corresponding angles are congruent.

Considering the given scenario: p is parallel to q and r is parallel to s, and the task is to prove that ∠1 and ∠14 are supplementary angles, the most logical step in this proof would be Option A.

Statement: ∠6 ≅ ∠14

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

This statement and reasoning holds true because when you have two parallel lines that are cut by a transversal, it produces corresponding angles that are congruent or equal in measure.

Hence, in the given scenario, since the lines p, q and r, s are parallel and are being cut by a transversal, it implies that ∠6 and ∠14 are equal in measure.

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what pyramid???????

i think you forgot the pyramid

Answer:

In interval notation it is  ( -∞, ∞).

Step-by-step explanation:

All values of x can be input to this function.

Answer:

8

Step-by-step explanation:

edg

Answer:

8 years

Step-by-step explanation:

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation [tex]100e^{0.05t} = 150[/tex] represents the situation, where t is the number of years the money has been invested.

To find out how long has the money invested we need to find out 't'

[tex]100e^{0.05t} = 150[/tex] , solve for t

divide both sides by 100

[tex]e^{0.05t} = 1.5[/tex]

Now to remove 'e' we take ln on both sides

[tex]ln(e^{0.05t) = ln 1.5[/tex]

the value of [tex]ln(e)= 1[/tex]

[tex]0.05t = ln 1.5[/tex]

Now divide by 0.05 on both sides

t = 8.10930

The money is invested for 8 years

Answer:

Inverse.

Step-by-step explanation:

Answer:

theyre called inverse funtions .

inverse of :

cos= cosectant

tan= cotangent

sin= secant

Answer:

  A.  $22,500

Step-by-step explanation:

10% = 10/100 = 1/10

To divide a decimal number by 10, move the decimal point one place to the left (remove a zero):

  $225000./10 = $22500.0 = $22500

B

Step-by-step explanation:

half of 11 is 5.5 so counting that from either of the points leads to .5

Then continuing from there, half of 9 is 4.5 so moving the point up would get 2.5

Answer:

B

Step-by-step explanation:

Answer:

D) 3+x/10+x > 8/10!

Answer:

the second part is a

Step-by-step explanation:

Answer:

[tex]\$11.13[/tex]

Step-by-step explanation:

step 1

Find the surface area of the cylinder

The surface area of the cylinder is equal to

[tex]SA=\pi r^{2} +2\pi rh[/tex]

we have

[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter

[tex]h=5\ in[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]SA=(3.14)(1.5)^{2} +2(3.14)(1.5)(5)=54.165\ in^{2}[/tex]

Find the cost

[tex]54.165*(0.75)=\$40.62[/tex]

step 2

Find the surface area of the square prism

The surface area of the prism is equal to

[tex]SA=b^{2} +4bh[/tex]

we have

[tex]b=3\ in[/tex]

[tex]h=5\ in[/tex]

substitute

[tex]SA=(3)^{2} +4(3)(5)=69\ in^{2}[/tex]

Find the cost

[tex]69*(0.75)=\$51.75[/tex]

step 3

Find the difference of costs

[tex]\$51.75-\$40.62=\$11.13[/tex]

Answer:

On the graph B, at 0 seconds the graph will be at [tex]y=0.[/tex]

The graph will be going down until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of the graph will be -8ft.

Step-by-step explanation:

In graph B we are measuring the distance from the surface, that is we are setting the surface to be y=0. Thus if the diver reaches her deepest point 8ft down, she will be below y=0 and at -8ft.

Thus, in shape the graph B will be similar to graph A, but it will be shifted downed by 8ft.

Answer:

On Graph B, at 0 seconds, the graph will be at 0 feet.

Then the graph will increase until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of Graph B will be at 8 feet.

Step-by-step explanation:

It just works.

Answer:

true if that is the answer your looking for

Step-by-step explanation:

Answer:

[tex]x = \frac{y}{2}- 5[/tex]

[tex]x = \frac{1}{2} y - 5[/tex]

Step-by-step explanation:

[tex]1. \: \frac{y}{2} = x + 5 \\ 2. \: \frac{y}{2} - 5 = x \\ 3. \: x = \frac{y}{2} - 5 \\ \\ or \\ \\ 1. \: 2x + 10 = y \\ 2. \: 2x = y - 10 \\ 3. \: \frac{2x}{2} = \frac{y - 10}{2} \\ x = \frac{1}{2} y - 5 [/tex]

Answer:

25[tex]\sqrt{x}[/tex]

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex], then

[tex]x^{\frac{1}{2} }[/tex] = [tex]\sqrt[2]{x^{1} }[/tex] = [tex]\sqrt{x}[/tex]

Hence

25 [tex]x^{\frac{1}{2} }[/tex] = 25[tex]\sqrt{x}[/tex]

Answer:

An extra 95

Step-by-step explanation:

80 84 86 88 88 92 94 94

IQR = 9

80 84 86 88 88 92 94 94 94

IQR = 9

Answer:

true

True

False

False

Step-by-step explanation:

a. The problem tells me that for every 3 parts of red paint, I have 8 parts of yellow paint. To find the ratio of 1 part of yellow paint I can write the following statement

For 8 parts of yellow paint ------------ 3 parts of red paint

        1 part of yellow paint  -------------      x

So [tex]x=\frac{1 part of yellow paint * 3 parts of red paint }{8 parts of yellow paint}[/tex]

[tex]x= \frac{3}{8} parts of red paint[/tex]

b, I have the following relationship

3 parts of red paint ----- 8 parts of yellow paint

If I multiply the entire expression by 3 I have left

3 * 3 parts of red paint -------- 8 * 3 parts of yellow paint

So

9 parts of red paint ---------- 24 parts of yellow paint

c.I have the same relationship

3 parts of red paint ----- 8 parts of yellow paint

If I multiply the entire expression by 1/2 I have left

3/2 parts of red paint -------- 8/2 parts of yellow paint

So

3/2 parts of red paint ---------- 4 parts of yellow paint

as 3/2 is different from 10, then the approach is false

d. observing the relation of part a,

For 3 parts of red paint ------------ 8 parts of yellow paint

      1 part of red paint   -------------      x

So [tex]x=\frac{1 part of red paint * 8 parts of yellow paint }{3 parts of red paint}[/tex]

[tex]x= \frac{8}{3} parts of yellow paint[/tex]  that is different than 3/8 parts of yellow paint, then the approach is false

Answer:

true

True

False

False

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

On the right side of the equation we are multiplying the initial amount by the growth rate that is raised to a number of years.  M is equal to this product.  The growth rate does not depend upon the initial amount.

Step-by-step explanation:

Arc length is defined as:

s = rθ

where r is the radius and θ is the angle in radians

A unit circle has a radius of 1, so the arc length is equal to the radian measure of the angle.

The radian measure determines the arc length on the unit circle using the formula s = θ for a unit circle (radius = 1). Radians, being a ratio of arc length to radius, allow for direct conversion between angle and arc length, facilitating calculations and conversions between radians and degrees.

The radian measure of an angle can determine the arc length on the unit circle by using the formula arc length (s) = radius (r) × angle in radians (θ). Since the unit circle has a radius of 1, this simplifies to s = θ. The concept of radians is crucial here; a radian is defined as the ratio of the arc length to the radius of the circle, making it a dimensionless unit. This relationship remains constant regardless of the circle's size, meaning the radian measure directly gives the arc length on the unit circle.

For a full revolution of 2π radians (360 degrees), the arc length is equal to the circumference of the circle, which is 2πr. In the case of the unit circle, this equates to an arc length of 2π. This principle allows for the conversion between radians and degrees, and calculation of arc lengths for any given angle measured in radians.

The rocket exceed the height of 500 ft in 1.46 seconds or 8.43 seconds.

Standard form of the quadratic equation in the variable x is an equation of the form a[tex]x^{2}[/tex] + bx + c = 0, where a, b, c are real numbers and a ≠ 0. Any equation of the form P(x) = 0, Where P(x) is a polynomial of degree 2, is a quadratic equation.

Given equation of height is:

h(t)= -[tex]16t^{2} +160t+300[/tex]

Now, the exceeded to 500 feet.

So,

-[tex]16t^{2} +160t+300[/tex]=500

16[tex]t^{2}[/tex] -160 t +200=0

Now, solve for t: a=16, b= -160, c= 200

D= [tex]\sqrt{b^{2}-4ac }[/tex]

 = [tex]\sqrt{(-160)^{2}-4*16*200 }[/tex]

 = [tex]\sqrt{12800 }[/tex]

 = 80√2

As D>0 then,

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

x= (160 ±80√2)/32

x=  (160 +80√2)/32   or x= (160 -80√2)/32

So, x= 8.43 and x=1.46

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Answer:

118.3 m²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 13 ( or 18.2) and h = 18.2( or 13) ← sides perpendicular

A = 0.5 × 13 × 18.2 = 118.3 m²

given sides,

a=36

b=45

c=27

From cosine law,

cosA=

[tex] \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} \\ = \frac{ {45}^{2} + {27}^{2} - {36}^{2} }{2 \times 45 \times 27} \\ = \frac{3}{5} = 0.6[/tex]

or, A= cos^-1(0.6)=53.13°

similarly, cosB=

[tex] \frac{ {a}^{2} + {c}^{2} - {b}^{2} }{2ac} \\ = \frac{ {36}^{2} + {27}^{2} - {45}^{2} }{2 \times 36 \times 27} \\ = 0[/tex]

or, B= cos^-1(0)=90°

Since, B=90, the given triangle is right angled triangle.

ANSWER

[tex]\cos(y) = \frac{4}{5} [/tex]

EXPLANATION

From the mnemonics SOH-CAH-TOA.

We want to find the cosine of y

CAH means cosine ratio involves adjacent over the hypotenuse.

[tex] \cos(y) = \frac{adjacent}{hypotenuse} [/tex]

From the right by triangle, the side ajacent to angle y is 64 units and the hypotenuse is 80 units.

[tex] \cos(y) = \frac{64}{80} [/tex]

[tex]\cos(y) = \frac{4}{5} [/tex]

Answer:4/5

Step-by-step explanation:

Answer:

400 yards

Step-by-step explanation:

(√A)4

(√10,000)4

(100)4

400

Hope This Helps! :D

Answer:

0.22

Step-by-step explanation:

The point estimate is simply the middle of the confidence interval.

p = (0.195 + 0.245) / 2

p = 0.22

solving simultaneously

let equation 1 be -3-3y=12x

let equation 2 be -5-y=2x

equation 2 make y subject of formula=> y=-5-2x

replace (y=-5-2x) in equation 1

-3-3(-5-2x)=12x

solve for x

x=2

replace x=2 in equation 2

y=-5-2(2)

y=-9

Therefore, x=2 y=-9

Answer:

25%

Step-by-step explanation:

350/1400 as a simplified fraction is 1/4 because you can divide 350 into 1400.

And now we know that 1/4 is 25%.

Or just divide 1 by 4. And you'll get .25 and then just move the decimal to the right 2 times.

Hope this helps!

Harold gave 1,400 stamps to his brother and sister. He gave 350 stamps to his brother. What percent of stamps did Harold give to his brother.

The percent[tex]\frac{350}{1,400}[/tex] represents the number of stamps that Harold gave to his brother out of all the stamps.

To find what percent of stamps that Harold gave to his brother, we can change the fraction [tex]\frac{350}{1,400}[/tex] to a percent.

We can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 350 and 1400 using 350.

350 ÷ 350 = 1

1400 ÷ 350 = 4

Our reduced fraction is [tex]\frac{1}{4}[/tex].

1 ÷ 4 = 0.25

0.25 × 100 = 25%

Therefore, Harold gave his brother 25% of his stamps.

Answer:

0.2

Step-by-step explanation:

R can be as small as -1 to display a perfect negative linear relationship or as large as 1 to display a perfect positive linear relationship. The closer the r-value is to 0 the weaker the correlation so therefore 0.2 is closest to 0 making it the answer choice with the weakest correlation.

[tex]\bf \begin{array}{ccll} miles&minutes\\ \cline{1-2} \frac{1}{3}&4\\\\ 1&x \end{array}\implies \cfrac{~~\frac{1}{3}~~}{1}=\cfrac{4}{x}\implies \cfrac{1}{3}=\cfrac{4}{x}\implies x=12[/tex]