The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?

Answers

Answer 1

Answer:

If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.

Step-by-step explanation:


Related Questions

m(x)=−2(x−3)(x−9) solve for y-intercept

Answers

Answer:

(0, -54)

Step-by-step explanation:

We find the y-intercept by plugging in 0 for x:

[tex]y=-2(x-3)(x-9)\\y=-2(0-3)(0-9)\\y=-2*-3*-9\\y=6*-9\\y=-54[/tex]

A calculator cost 32.00 if the sales tax is 6% what is the price ?

Answers

Answer:

Step-by-step explanation:

Here is how to solve the given problem above.

Given that the calculator costs $32 and has a tax of 6%, what we are going to do is to find how much is 6% of 32. So 32 times 0.06 is 1.92. So, we add this amount to 32 dollars, and the total price would be 33.92 dollars. Hope this answer helps.

Answer:

33.92

Step-by-step explanation:

32 times 6 divided by 100 gives you 1.92, the sales tax,

add it to 32 and then you get 33.92

Taylor drives 7.5 miles in 10 minutes. If she drove two hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Taylor drive in total?

Answers

Answer:

200 is your answer. (insert more text to be helpful here)

What is an equation of the line that passes through the points (1, 1) and (7, -5)?

Answers

Answer:

y=-x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-1)/(7-1)

m=-6/6

m=-1

y-y1=m(x-x1)

y-1=-1(x-1)

y-1=-x+1

y=-x+1+1

y=-x+2

Answer:

y = -1 x + 2

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

m is the slope, and b is the y-intercept.

Now, to find m, simply substitue here: [tex]m=\frac{y1-y2}{x1-x2}[/tex]

Which means: m = [tex]\frac{-5-1}{7-1} = -1[/tex]

Now, look at our line's equation so far: y=-1x+b.

b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (7,-5).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want..the answer will be the same:

Either: (1,1). y=mx+b or 1=-1 × 1+b, or solving for b: b=1-(-1)(1). b=2.

Or: (7,-5). y=mx+b or -5=-1 × 7+b, or solving for b: b=-5-(-1)(7). b=2.

both gave us the same answer for b, which is 2.

Therefore, the equation of the line that passes through the points (1,1), and (7,-5) is:

Y = -x + 2

How many 1/3 cup servings are there in 10 cups of cereal?
Answers:
30
1/10
1/3
9

Answers

Answer:

30

Step-by-step explanation:

Solve for the missing side length in this triangle ​

Answers

Answer: C= 30

Step-by-step explanation:

A^2+B^2=C^2

C= √(B²+A²)

C= √(18²+24²)

C=30

let 24=p
18=b
x=h
then we know that
h^=p^+b^
x^=18^+24^
x^=324+576
x^=900
x=30
so x=30#

help meeeeeeeeeeeeee

Answers

I don't see the image. Can you send it in the message.

Represent - 16/5 on a number line
NO links or files
Plz attach a photo or type it out
I need it today ASAP

Answers

Answer:

3.1 is the answer.

PLEASE HELP! WILL GIVE BRAINLIEST!

Khan Academy - Solve Similar Triangles (advanced)

Solve for X.

Answers

Answer:

x = 3[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4 + 6 = 10

[tex]\frac{2}{6}[/tex] = [tex]\frac{x}{10}[/tex]

6x = 20

x = 3[tex]\frac{1}{3}[/tex]

Add: 2y+1/y-3+y+2/6y 1.Find the LCD. LCD= (y-3)(6y) 2. Multiply to create common denominators. 2y+1/y-3 (6y/6y)= 12y^2+6y/(y-3)(6y)

Answers

Answer:

C

Step-by-step explanation:

edge 2020

C 12y^2+5y-6/(y-3)(6y)

hey!! can someone please help me with these math problems? I would appreciate it, thank you(:

Answers

{x=-1/3-10/3y

5x+20y=5

5(-1/3-10/3y)+20y=5

solve the equation

.

.

Y=5

substitute the value of y into the equation

x=-1/3-10/3×2

.solve the equation

.

.x=-7

(x,y)=(-7,2)

{3×(-7)+10×2=-1

5x(-7)+28×2=5

simplify

{-1=-1

5=5

the ordered pair is asolution

(X,Y)=(-7,2)

That's all!!!!

Answer:

x = -7 y = 2

Step-by-step explanation:

Let's solve this using the elimination method:

3x + 10y = -1. #1

5x + 20y = 5. #2

Multiply Eqtn #1 by -2

-6x - 20y = 2

5x + 20y = 5

Add these two equations together and we will get

-x = 7 or x = -7

Use this value of x into either Eqtn #1 or #2

3(-7) + 10y = -1 ----> 10y = 20 or y = 2

if alpha and beta are zeros of the polynomial x² - 6 X + k find k such that (alpha+beta)²-2alha beta =40​

Answers

Answer:

k = - 2

Step-by-step explanation:

Given α and β are the zeros of x² - 6x + k = 0 , with

a = 1, b = - 6 and c = k , then

α + β = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-6}{1}[/tex] = 6

αβ = [tex]\frac{c}{a}[/tex] = [tex]\frac{k}{1}[/tex] = k

Then solving

(α + β)² - 2αβ = 40

6² - 2k = 40

36 - 2k = 40 ( subtract 36 from both sides )

- 2k = 4 ( divide both sides by - 2 )

k = - 2

A circle has a radius of 6. An arc in this circle has a central angle of 48º.
What is the length of the arc?
Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

48 * [tex]\pi[/tex] / 180 = 0.837758041

1. True or False: The solution you get from substitution is the same as the solution you would get
from graphing. *
False
True

2. For substitution, we want *
(1 Point)
a. both equations to be in standard form Ax + By = C
b. equations with negative numbers
C. at least one equation to be y= or x=
d. equations with positive numbers

Answers

answer:

my answer to the first one would be false

my answer to the second would be a

In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\frac5{12}$ of the area of the larger circle. How many degrees are in the measure of (the smaller) $\angle ADC$

Answers

Angle ADC = 120 degrees.

What is area of sector?

A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°

What is the angle of ADC in the smaller circle?

Given, two circles of radius 1 unit and 2 unit which have same center D.

We know area of a circle = π r²

Area of larger circle = π 2² = 4π

it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.

area of sector, ACD = 1/12 ×4π

as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.

formula for area of sector ACD = π r² ×Ф/360°

where,Фis the central angle of ACD sector

and Ф = ADC

from the above statement, 4π/12 = π r² ADC/360

                        ADC = 1/3×360°

ADC = 120 degrees

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What is an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35?

Answers

Answer:

4x - 5y = 10

Step-by-step explanation:

We can use the point-slope form to find the line equation:

[tex] \displaystyle{y - y_1 = m(x - x_1)}[/tex]

Where (x1,y1) is the point that the line intersects and m is slope. We know the line passes through (-5,-6) and the slope is parallel to the line 4x - 5y = 35. Meaning the slope of that line is equal to slope of 4x - 5y = 35.

In this equation form Ax + By = C, we can find slope by m = - A/B. Therefore, m = -4/-5 which equals to 4/5. Hence, the slope is 4/5

[tex] \displaystyle{y - y_1 = \dfrac{4}{5}(x - x_1)}[/tex]

And also it intersects the point (-5,-6). Therefore:

[tex] \displaystyle{y - ( - 6) = \dfrac{4}{5}(x - ( - 5))} \\ \\ \displaystyle{y + 6 = \dfrac{4}{5}(x + 5)}[/tex]

Then convert to Ax + By = C to match with the given equation in problem:

[tex] \displaystyle{5(y + 6 )= 5 \left(\dfrac{4}{5}(x + 5) \right)} \\ \\ \displaystyle{5y + 30 = 4(x + 5)} \\ \\ \displaystyle{5y + 30 = 4x + 20} \\ \\ \displaystyle{ \therefore 4x - 5y = 10}[/tex]

Select the correct answer.
How many solutions does this system of equations have?
y = 2x + 5
y = x^3 + 4x^2 + x + 2

A. No solution
B. 1 solution
C. 2 Solutions
D. 3 Solutions

Answers

An equation is formed of two equal expressions. The number of solutions that the given system of equation will give is 3. Thus, the correct option is D.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The number of solutions that the system of equations will have can be found by plotting both the equation on the graph.

Since the point at which the graph intersects is the solution of the system of equations.

Hence, the number of solutions that the given system of equation will give is 3. Thus, the correct option is D.

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The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
8
8
4

Answers

Writing the whole number in the numerator and 1 in the denominator. Fraction in simplest form is 8

In the simplest form, how do you write an answer as a fraction?

How to Find the Most Basic Form

Determine the GCF of the fraction’s numerator and denominator.

Divide the created GCF by the numerator and denominator.

Fill in the blanks with the simplified fraction of the supplied fraction.

The most basic form, If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase “lowest terms” when referring to the simplest form.

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Find the mean, variance and standard deviation for the probability distribution given below:
X -1 3 9 12
P(X) 0.587 0.115 0.21 0.088
A. Mean = B. Variance = C. Standard Deviation =

Answers

The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.

The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:

(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.

The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:

(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.

The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.

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Aquarium one contains 4. 6 gallons of water Luis Will begin filling aquarium one at a rate of 1. 2 gallons per minute aquarium to contains 54. 6 gallons of water Isaac will begin draining aquarium two at a rate of 0. 8 gallons per minute

Answers

The Filling time is After 25 minutes, both Aquariums will contain same amount of water.

What is filling time?

you've fully prepared the aquarium, all you need to do is follow these quick and easy steps and safely fill your aquarium with water.

Calculate the Filling Time of the aquarium Explanation

Given,

Water in Aquarium A = 4.6 gallons

Water in Aquarium B = 54.6 gallons

Filling rate = 1.2 gallons per minute.

Draining rate = 0.8 gallons per minute.

Let,

x represents the minutes.

A(x) = 4.6 + 1.2x

(Because Luis is adding water in the tank.)

B(x) = 54.6 - 0.8x

(Isacc is draining water from the tank.)

For same amount of water;

A(x) = B(x)

4.6+1.2x=54.6-0.8x

1.2x+0.8x=54.6-4.6

2x=50

Dividing both sides by 2

2x/2=50/2

x=25

Therefore, After 25 minutes, both Aquariums will contain same amount of water.

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Help!!! Please just answer the question. Thank you! Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket?

Answers

Answer:

The answer is "Expected Value = - 0.94 (Loss) "

Step-by-step explanation:

Please find the table in the attachment for the complete solution.

HELP!!! NO LINKS PLEASE!!!

a) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the tenth of a meter.


(i) What length of fringe is needed?



(ii) One meter of fringe costs $4.70. How much will the fringe cost?



b) A semicircular mat has a diameter of 18 m. What is the area of the mat?

Answers

Step-by-step explanation:

a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m

(ii)3.14 m × ($4.70/m) = $14.76

b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2

A botany student drew a sketch of a birch tree using a scale of 1 inch:2 meters. Find the
actual height of the tree, if it measures 3 inches in the sketch.

Answers

Answer:

6 meters

Step-by-step explanation:

^_^

George is creating a garden with
an area of 300 square feet. He's
trying to decide if he should make
the garden 20 feet long and 15
feet wide OR 30 feet long and 10
1 feet wide. Which measurements
would use less fencing?

Answers

If George is trying to fence the garden with less fences possible between the two options given in the question, the first option of measurements i.e 20 feet long and 15 feet wide would take less fencing.

What is perimeter of a rectangle?

It is the entire distance encircled on all sides by the rectangle.One of the key equations for the rectangle might be regarded to be its perimeter.

What is the formula for calculating the perimeter of a rectangle?

The formula for calculating the perimeter of a rectangle is :

P = 2*l + 2 *b where , l and b are the length and breadth of the rectangle.

For the first option, where the garden is 20 feet long and 15 feet wide, the perimeter would be 20+20+15+15 = 70 feet.

For the second option, where the garden is 30 feet long and 10 feet wide, the perimeter would be 30+30+10+10 = 80 feet.

Therefore, the first option where the garden is 20 feet long and 15 feet wide would use less fencing, 70ft in this case, as the perimeter is lower than the other option which is 80 ft.

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PLZ I NEED HELP NOW THANKS

Answers

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

Why are the acute angles of an isosceles right triangle always 45?

Answers

An isosceles right triangle has two sides that are equal in length; this means that the angles opposite the sides must also be equal. Since the triangle is a right triangle and the sum of angles of a triangle is 180 degrees, the angles must each be 45 degrees.

The acute angles of an isosceles right triangle are always 45 because of the Pythagorean Theorem. This theorem states that in a right triangle the sum of the squares of the two sides adjacent to the right angle (the legs) is equal to the square of the hypotenuse. Since an isosceles right triangle has two equal legs, and the hypotenuse is the longest side, the two legs must both have the same length, and the angles opposite from these sides must also be the same. This means that the two acute angles in an isosceles right triangle must both be 45 degrees.

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How many solutions does y 2x 5 and 8x 4y =- 20 have?

Answers

A system of linear equations: y + 2x = -5 and 8x + 4y = -20  has infinitely many solutions.

The 3 possible solutions of a linear system are:

- Unique or one solution

- Infinite solutions

- No solution

If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

The given linear system is:

y + 2x = -5           ....... (equation 1)

8x + 4y = -20     ..........(equation 2)

Rearrange equation 1 to:

2x + y = -5

Multiply both sides by 4:

8x + y4 = -20

Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.

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pls help me lm desperate at this point

Answers

Answers:

Rose: y=500

$500

Summer: y=15x+200

$575

Poppy: y=30x

$750

Daisy: y=12.50x+350

$662.5

Violet: y=6x+450

$600

*Make sure you plug the 25 hours in yourself to double check my answers.*

Step-by-step explanation:

I just wrote the equation in number form and plugged the 25 hours in.

A car traveling 62 miles per hour is moving at a speed of about how many kilometers per hour? Use a unit multiplier to convert the rate. (1 km≈ 0.62 mi)

Please help if you can! ​

Answers

Answer: ≈ 100km/h

Step-by-step explanation:

62 : 0.62 = 100 km

Carly is telling Stephanie about her parents' divorce. Which body language would best display that Stephanie is actively listening to Carly?

Returning text messages as Carly speaks.
Turning her body toward Carly.
Stopping Carly's story to ask questions.
Focusing on people in the background.

Answers

Answer:

Turning her body toward Carly.

Step-by-step explanation:

Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.

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