Okay, here we have this:
Considering the provided information, we obtain that:
The total price = Commission of the bookstore + Payment to the publisher
Replacing:
$90=$90(0.25)+Payment to the publisher
Payment to the publisher=$90-$90(0.25)
Payment to the publisher=$90-$22.5
Payment to the publisher=$67.5
Finally we obtain that the bookstore pay $67.5 to the publisher for each book.
PLS HELP ASAP I WILL GIVE BRAINLIEST
Answer: I think the answer is [tex]\frac{2/3}{1}\\[/tex] and [tex]\frac{3}{1}[/tex]
Step-by-step explanation: I hope this helps. Correct me if I am wrong.
Kia rides her bicycle at 20 miles per hour. Which equation represents the situation? Leth represent the hours traveled. Let d represent the distance traveled. Od 2012 Oh= 200 Od 20 h O h = 20 -
Velocity= 20 miles/hour
The cost C (in dollars) of producing x units of a product is given by the following. C= 2.6. Square root of x + 600
The marginal cost in dollars of producing x units is given by the next equation:
[tex]C=2.6\sqrt[]{x}+600[/tex]a)
To find the marginal cost (in dollars per unit) when x= 9.
Then, we need to replace x=9 on the derivation of the cost equation:
So:
[tex]\frac{d}{dx}C=\frac{1.3}{\sqrt[]{x}}[/tex]Where:
[tex]\frac{d}{dx}2.6\sqrt[]{x}=2.6\frac{d}{dx}\sqrt[]{x}=2.6\frac{d}{dx}^{}x^{\frac{1}{2}}=2.6\cdot\frac{1}{2}x^{\frac{1}{2}-1}=1.3\cdot x^{-\frac{1}{2}}=\frac{1.3}{\sqrt[]{3}}[/tex]and, the derivate of a constant is equal to zero.
[tex]\frac{d}{dx}600=0[/tex]Replacing x= 9
[tex]\frac{d}{dx}C=\frac{1.3}{\sqrt[]{9}}[/tex]Hence, the marginal cost is equal to:
[tex]\frac{d}{dx}C=0.43[/tex]b) Now, when the production increases 9 to 10. It's the same as the cost of producing one more machine beyond 9.
Then, it would be x=10 on the cost equation:
[tex]C=2.6\sqrt[]{x}+600[/tex][tex]C=2.6\sqrt[]{10}+600[/tex][tex]C=608.22[/tex]and x= 9
[tex]C=2.6\sqrt[]{9}+600[/tex][tex]C=2.6(3)+600[/tex][tex]C=607.8[/tex]Then, we calculate C(10) - C(9) =
[tex]608.22-607.8[/tex][tex]=0.43[/tex]C)
Both results are equal.
Hence, the marginal cost when x=9 is equal to the additional cost when the production increases from 9 to 10.
A Labrador Retriever puppy named Milo weighed 11 pounds and gained 2 pounds per week.
After how many weeks did Milo weigh 39 pounds? Weeks?
After 15 weeks Milo's weight is 39 pounds.
According to the question,
We have the following information:
Weight of Milo = 11 pounds
Milo gained weight at the rate of 2 pounds per week.
So, we have the following progression:
11, 13, 15, ....
Now, we will subtract the previous term from the next term to check whether it is an arithmetic progression or not.
15-13 = 2
13-11 = 2
So, it is an A.P.
We know that following formula is used to find the nth term:
an = a+(n-1)d where a is the first term, n is the number of term and d is the common difference
We have weight of Milo as 39 pounds.
11+(n-1)2 = 39
11+2n-2 = 29
2n+9 = 39
2n = 39-9
2n = 30
n = 30/2
n = 15
Hence, it will take 15 weeks to reach Milo's weight at 39 pounds.
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In the figure below, ZYZA and _YZX are right angles and _XYZ and ZAYZ arecongruent. Which of the following can be concluded about the distance frompoint A from point Z using Thales's method?O A. The distance between points A and Z is the same as the distancebetween points X and Z.B. The distance between points A and Z is the same as the distancebetween points A and Y.O C. The distance between points A and Z is the same as the distancebetween points Yand Z.D. The distance between points A and Z is the same as the distancebetween points X and Y.
Let's begin by identifying key information given to us:
[tex]\begin{gathered} \angle YZA=90^{\circ} \\ \angle YZX=90^{\circ} \\ \angle XYZ\cong\angle AYZ \end{gathered}[/tex]Thale's method shows that angles in a triangle opposite two sides of equal length are equal
[tex]undefined[/tex]As such, the answer is A (The distance between points A and Z is the same as the distance between X and Z)
Which expressions are equivalent to (1/3x−4x−5/3x)−(−1/3x−3) ? Select all correct expressions. Responses −3+5x negaive 3 minus 5 x −2x+3−3x negative 2 x plus 3 minus 3 x −5x+3 negative 5 x plus 3 2x−3+3x 2 x minus 3 plus 3 x
The equivalent expression for the given expression (1/3x - 4x - 5/3x) - (- 1/3x - 3) is 3 - 7x / 3
Given,
The expression;
(1/3x - 4x - 5/3x) - (- 1/3x - 3)
We have to solve this and find the equivalent expression;
Here,
(1/3x - 4x - 5/3x) - (- 1/3x - 3)
= 1/3x - 4x - 5/3x + 1/3x + 3
= 3 - 4x - 5/3x
= 3 - (12x - 5x) / 3
= 3 - 7x / 3
That is,
The equivalent expression for the given expression (1/3x - 4x - 5/3x) - (- 1/3x - 3) is 3 - 7x / 3
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A linear function contains the following points.What are the slope and y-intercept of this function?
Answer: The slope is 4/5 and the y-intercept is (0,-1)
Step-by-step explanation:
What is equation of straight line in slope-intercept form?
The formula for equation of straight line in slope-intercept form is y = mx +c
where m = slope and c = y-intercept
Analysis
y2-y1/x2-x1
3-(-1)/5-(-0)
=4/5
The slope of the linear function is 4/5
The y-intercept is (0.-1)
find the distance between the given points. if the answer is not exact, use a calculator and give an approximation to the nearest tenth (-7,-2), (5,3)
The distance is:
[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]By replacing x and y
[tex]d=\sqrt[]{(5-(-7))^2+(3-(-2))^2}[/tex]Then solve
[tex]\begin{gathered} d=\sqrt[]{(5+7)^2+(3+2)^2} \\ d=\sqrt[]{12^2+5^2} \\ d=\sqrt[]{144+25}^{} \\ d=\sqrt[]{169} \\ d=13 \end{gathered}[/tex]Answer: 13
Vernon mixed 2 1/3 cups of water with 2 1/3 of white vinegar to make a cleaning solution.how much cleaning solution did he make
SOLUTION
Write out the information given
[tex]\begin{gathered} \text{Quantity of water=2}\frac{1}{3}cups\text{ } \\ \\ \text{Quantity of white vinegar=2}\frac{1}{3}cups \end{gathered}[/tex]The quantity of the cleaning solution will the sum of the quantity above
The number model will be
[tex]2\frac{1}{3}cups+2\frac{1}{3}\text{cups }[/tex]Then
[tex]\begin{gathered} 2\frac{1}{3}+2\frac{1}{3}=2\times(2\frac{1}{3})=2\times(\frac{7}{3})=\frac{14}{3} \\ \text{then} \\ \frac{14}{3}=4\frac{2}{3} \end{gathered}[/tex]hence the cleaning solution will be
[tex]4\frac{2}{3}[/tex]Answer: 4 2/3
Write the rate as a fraction in the simplest form $1680 for 8 weeks 236 miles on 12 gallons of gasoline
The question asked to write the rate as a fraction in simplest form
[tex]\text{ \$1,680 for 8 w}eeks[/tex]To write the above relation in a fraction, we will have
[tex]\begin{gathered} =\frac{1680}{8} \\ \end{gathered}[/tex]Dividing to the lowest term, we will have
[tex]\begin{gathered} =\frac{210}{1} \\ whichis\text{ \$210 for 1 we}ek \end{gathered}[/tex]The question asked to write the rate as a fraction in simplest form
[tex]236\text{ miles on 12 gallons of gasoline}[/tex]To write the above relation in a fraction, we will have
[tex]=\frac{236}{12}[/tex]To express as a fraction in its lowest terms will be
[tex]\begin{gathered} =\frac{59}{3} \\ \text{which represents 59 miles for 3 gallons} \end{gathered}[/tex]II
Finding simple interest without a calculator
Lella deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?
The Solution:
Given:
Lella deposited $600 into an account that pays 2% simple interest per year.
Required:
To find the interest Lella will get in the first 3 years.
To find the interest, we shall use the formula below:
[tex]I=\frac{PRT}{100}[/tex]In this case,
[tex]\begin{gathered} P=\text{amount deposited=\$600} \\ T=\text{time in years =3 years} \\ R=\text{rate in percent=2\%} \\ I=\text{simple interest paid=?} \end{gathered}[/tex]Substituting these values in the above formula, we get
[tex]I=\frac{600\times2\times3}{100}=6\times2\times3=\text{ \$36}[/tex]Thus, the interest she will be paid in 3 years is $36.00
Therefore, the correct answer is $36.00
An employee makes $10.59 per hour but is getting a 4% increase. What is his new wage per hour to the nearest cent?
In order to calculate the new wage per hour, we just need to multiply the old value of $10.59 by 1.04, that is, an increase of 4%, so we have:
[tex]10.59\cdot1.04=11.01[/tex]So the new wage per hour is $11.01.
Determine whether the sequence is geometric. 160, 40, 10,2.5, ...
Since the ratio is constant through the sequence, we conclude that it is geometric sequence.
I need help with a math question. Ilinked it below
EXPLANATION:
We are given a dot plot as shown which indicates the ages of members of an intermediate swim class.
The dot plot indicates a cluster to the right for the values;
[tex]11yrs-14yrs[/tex]This indicates that a reasonable amount of the members are within that age range.
For this reason, it is not likely that Mira will be able to convince her mother.
This is because Mira's age (13 years old) is within the area where the data are clustered.
Therefore;
ANSWER:
(1) The data are clustered between 11 and 14 years old
(2) It is not likely that she will be able to convince her mother
(3) Mira's age is within the area where the data are clustered.
Jackson bought a Ford Mustang for $40,000 and it depreciates in value 9% per year. Write an equation that
models the value of Jackson's car.
Answer:
[tex]v = 40000( {.91}^{x} )[/tex]
f(x+h)-f(x)
h
lim:
h→0
i) The average rate of change of f(x) over the interval [x, x + h]
ii) The slope of the line tangent to f(x) at the point (x, f(x))
iii) The slope of the line secant to f(x) over the interval [x, x + h]
iv) The derivative of f(x)
O A. ii and iii
O B. i and iii
O c. ii
OD. i
...
O E.
i and iv
O F. ii and iv
Answer: F
Step-by-step explanation:
(i) The interval is meant to have infinitesimal width because the limit is approaching 0.
(ii) This gives the derivative at [tex](x, f(x))[/tex], which is the same as the slope of the tangent line.
(iii) False, this deals with the tangent line, not the secant.
(iv) True by definition.
how to get standar form from point 1,4 and a slope of 5
For the equation E=, h is a proportionality con- stant. When 1-14, E =20. So, if n=7, what is the conesponding value of 6? O 40 O 0.1 O 10 0 0.025 O 0.25
Substitute 14 for n and 20 for E in the equation to determine the value of proportionality constant.
[tex]\begin{gathered} 20=\frac{h}{14} \\ h=20\cdot14 \\ =280 \end{gathered}[/tex]Substitute 280 for h and 7 for n in the equation to obtain the value of E.
[tex]\begin{gathered} E=\frac{280}{7} \\ =40 \end{gathered}[/tex]So value of E is 40.
Sketch the vectors u and w with angle θ between them and sketch the resultant.|u|=20, |w|=50, θ=80°
Vectors are represented by arrows, where the norm of a vector determinate its length.
Since θ = 80° is the angle between them, a sketch for our vectors is
The resultant of their sum is given by the parallelogram law. If we draw two vectors parallel to u and w, we're going to have a sketch of a parallelogram, and the diagonal connecting the angle between u and w to the opposite vertice represents the resultant.
how much cardboard is needed to make the single slice pizza box shown
We must find the amount of cardboard needed to make a slice of pizza box which basically means finding the surface area of the piece of box shown. This is composed of five faces divided in three groups:
- Two equal triangular faces with a base of 6.7 in and a height of 11 in.
- Two equal rectangular faces with a base of 11.5 in and a height of 1 in.
- A single rectangular face with a base of 6.7 in and a height of 1 in.
The area of the piece of box is given by the sum of the areas of the 5 faces so let's find the area of the faces of each group.
The area of a triangle is given by half the product of the length of its base and its height. Then the area of each triangular face is:
[tex]A_t=\frac{6.7\times11}{2}=36.85[/tex]So each triangular face has an area of 36.85 in².
The area of a rectangle is given by the product of its base and height. Then for the pair of equal rectangular faces we have:
[tex]A_{r1}=11.5\times1=11.5[/tex]So each of these two faces has an area of 11.5 in².
The area of the remaining rectangular face is then given by:
[tex]A_{r2}=6.7\times1=6.7[/tex]So the area of the last face is 6.7 in².
Then the total surface area is given by the sum of the areas of the 5 faces. Then we get:
[tex]A=2A_t+2A_{r1}+A_{r2}=2\times36.85+2\times11.5+6.7=103.4[/tex]AnswerThen the answer is 103.4
If t = (- pi)/3 find the terminal point P(x,y) on the unit circle
Find the corresponding possitive angle by adding to the angle t 2pi:
[tex]-\frac{\pi}{3}+2\pi=\frac{-\pi+6\pi}{3}=\frac{5\pi}{3}[/tex]Identify the coordiantes using a unit circle:
Then, for angle t=-pi/3 the coordinates are:x=1/2y=-√3 /2Find the area of the sector interms of pi.2460°Area = [?]
Answer:
Area= 24π.
Explanation:
The area of a sector is calculated using the formula below:
[tex]A=\frac{\theta}{360\degree}\times\pi r^2[/tex]From the diagram:
• The central angle, θ = 60°
Diameter of the circle = 24
• Therefore, Radius, r = 24/2 = 12
Substitute these values into the formula:
[tex]\begin{gathered} A=\frac{60\degree}{360\degree}\times\pi\times12^2 \\ =24\pi\text{ square units} \end{gathered}[/tex]The area of the sector in terms of pi is 24π square units.
FIND THE INDICATED PROBABILITY A magazine did a survey to determine its readers favorite types of shoesFavorite types of shoes worn Sneaker boot Sandal other 54% 16% 20% 10% What is the probability that the sneakers Will NOT be the favorite shoe of the next reader?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
table:
favorite types of shoes
Step 02:
probability:
probability (not sneakers) = 100% - 54% = 46%
The answer is:
probability (not sneakers) = 46%
x = 3y for y how should we solve it
If x=3y is the equation then y = x/3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given expression x equal to three y.
Here x and y are two variables.
The value of x is three times of y.
The value of y is x over three. If we know the value of x we can substitute in place of x and we can calculate it.
Divide both sides by 3.
y=x/3.
Hence the value of y is x/3.
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Pls help with the question in the picture. 20 Points and brainliest.
Answer:
**NEED USEFUL ANSWER ASAP, H.W QUESTION**
Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?
Step-by-step explanation:
draw and label: ray LM
To draw a Ray; Draw a line with an arrowhead at one end of the line segmen:
Ray LM:
Find the surface area of the solid. Use 3.14 for T. Round final answer to the nearest hundredth.
Answer:
Given:
Radius of the sphere is 26 mi.
To find the surface area of a given sphere.
We know that,
Surface area of a sphere is,
[tex]4\pi r^2[/tex]where r is the radius of the sphere.
Substitute the values we get, (pi=3.14)
[tex]=4\times3.14\times(26)\placeholder{⬚}^2[/tex][tex]=4\times3.14\times676[/tex][tex]=8,490.56\text{ mi}^2[/tex]The required surface area is 8,490.56 mi^2.
The basic wage earned by a truck driver for a 40 - hour week is $560 How can I calculate the hourly rate for overtime, the driver is paid one and a half times the basic hourly?
First, find the hourly rate by dividing the total wage of $560 by the amount of time worked, which is 40 hours:
[tex]\frac{\text{\$}560}{40h}=\text{ \$}14\text{ per hour}[/tex]To find the hourly rate for overtime, multiply the basic hourly rate by 1.5:
[tex](\text{\$}14\text{ per hour})\times1.5=\text{ \$}21\text{ per hour}[/tex]Therefore, the hourly rate for overtime is $21.
4. 1st drop down answer A. 90B. 114C. 28.5D. 332nd drop down answer choices A. Parallel B. Perpendicular 3rd drop down answer choices A. 180 B. 360 C. 270D. 90 4th drop down answer choices A. 33B. 57C. 90D. 28
Answer:
Tangent to radius of a circle theorem
A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent.
Part A:
With the theorem above, we will have that the tangent is perpendicular to the line radius drawn from the point of tangency
Therefore,
The value of angle CBA will be
[tex]\Rightarrow\angle CBA=90^0[/tex]Part B:
Since the angle formed between the tangent and the radius from the point of tangency is 90°
Hence,
The final amswer is
Tangent lines are PERPENDICULAR to a radius drawn from the point of tangency
Part C:
Concept:
Three interior angles of a triangle will always have the sum of 180°
Hence,
The measure of angles in a triangle will add up to give
[tex]=180^0[/tex]Part D:
Since we have the sum of angles in a triangle as
[tex]=180^9[/tex]Then the formula below will be used to calculate the value of angle BCA
[tex]\begin{gathered} \angle ABC+\angle BCA+\angle BAC=180^0 \\ \angle ABC=90^0 \\ \angle BAC=57^0 \end{gathered}[/tex]By substituting the values,we will have
[tex]\begin{gathered} \operatorname{\angle}ABC+\operatorname{\angle}BCA+\operatorname{\angle}BAC=180^{0} \\ 90^0+57^0+\operatorname{\angle}BCA=180^0 \\ 147^0+\operatorname{\angle}BCA=180^0 \\ substract\text{ 147 from both sides} \\ 147^0-147^0+\operatorname{\angle}BCA=180^0-147^0 \\ \operatorname{\angle}BCA=33^0 \end{gathered}[/tex]Hence,
The measure of ∠BCA = 33°
Find R on line segment NM that is 1/4 the distance from N(-3,-3) toM(2, 3).R(x, y) =
The distance on the x-coordinate from N to M is:
distance = 2 - (-3) = 2 + 3 = 5
Because 2 is the x-coordinate of M and -3 is the x-coordinate of N
Then, 1/4 of the distance is:
1/4*distance = (1/4)*5 = 5/4 = 1.25
So, the x-coordinate of R is:
(x-coordinate of N) + (1/4*distance) = -3 + 1.25 = -7/4 = -1.75
At the same way, the distance on the y-coordinae from N to M is:
distance = 3 - (-3) = 3 + 3 = 6
Then, 1/4 of the distance is:
1/4*distance = (1/4)*6 = 6/4 = 1.5
So, the y-coordinate of R is:
(y-coordinate of N) + (1/4*distance) = -3 + 1.5 = -1.5
Answer: R(x, y) = (-1.75, -1.5)
