Answer:
40 more paintings in order to maximize sales making a total of 60 paintings
Step-by-step explanation:
Let x= no.of copies above 20
Total Sales(x) = (number of copies)(price per copy)
Sales (x)= (20 +x)(100 –x)
Open bracket
=1200-20x+100x-x^2
=1200+80x-x^2
Derivative of the sales
80-2x=0
80=2x
Divide both sides by 2
40=x
Because Sales(x)= –2, this is maximal by the second derivative test
The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.
The artist 60 copies should he make to maximize his sales
The artist can sell 20 copies at $100 each.
So, the total sales is:
Total =(20) * (100)
For each additional copy he makes, the value of each painting reduce by a dollar.
So, the total sales becomes
Total = (20 + x) * (100 - x)
Rewrite as:
[tex]y = (20 + x) * (100 - x)[/tex]
Expand
[tex]y = 2000 - 20x + 100x - x^2[/tex]
Evaluate the like terms
[tex]y = 2000 +80x - x^2[/tex]
Differentiate
[tex]y' = 80 - 2x[/tex]
Set to 0
[tex]80 - 2x = 0[/tex]
Collect like terms
[tex]- 2x = -80[/tex]
Divide both sides by -2
[tex]x = 40[/tex]
Recall that the initial copies is 20.
So, the new copies would be:
New = 20 + 40
New = 60
Hence, the artist 60 copies should he make to maximize his sales
Read more about maximum values at:
https://brainly.com/question/10782019
Calculate a²² for the product of the following matrices.
1 2 6 1 5
4 3 7 3 4
Answers:
9
13
16
Answer:
13
Step-by-step explanation:
i may be wrong im not 100% sure
The answer is 13.
What's made of 2 matrices?
The manufactured from two matrices may be computed by multiplying factors of the first row of the first matrix with the primary column of the second matrix and then, adding all of them made from elements. continue this system till each row of the primary matrix is accelerated with every column of the second matrix.
What are the means of the product matrix?Big manufacturers and agencies with lots of products can locate it challenging to control their product line for optimum marketplace insurance. A product matrix is a device that can assist companies to visualize their product line and even discover possibilities to expand new products.
Learn more about the product of the matrices here: https://brainly.com/question/94574
#SPJ2
Please Help, Ill mark u brianlest or however you spell it
polynomials picture question below vvvv
Step-by-step explanation:
The area of the larger rectangle is 10x (2x + 6) and the area of the swimming pool is 8(6x - 4). To find the area of the walkway we get:
10x(2x + 6) - 8(6x - 4)
= 20x² + 60x - 48x + 32
= 20x² + 12x + 32
Hope this helps!
Answer:(6x-4)=2 than multiply 8x10=80 then you add or multiply 2 and 80 together.
Step-by-step explanation:
what is the volume of thiss figure ?
Answer:
18 ft³
Step-by-step explanation:
Answer:
18 ft^3.
Step-by-step explanation:
This is a 3*3*4 prism which has been cut in half diagonally.
So it's volume is 1/2 * 3 *3 * 4
= 1/2 * 36
= 18 ft^3.
PLEASE....50 POINTS TO WHOEVER ANSWERS RIGHT AWAY!! THANK YOU!!
Sayid is buying a frame to go around the perimeter of a painting his daughter made. Each inch of framing costs $0.55. What is the total cost of the framing for the painting?
Answer:
is there any picture
Step-by-step explanation:
because I think I need a picture
Answer:
16.5 dollars
Step-by-step explanation:
4 by 11 inch pic
Collins Middle School has 252 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school?
A.
88
B.
720
C.
217
D.
287
Answer:620
Step-by-step explanation: lets say the total of school is X so:
X.35÷100=217
when we calculate this the answer will be 620
Your family buys a super-size pizza, Mom and dad eat 1/5 Friday night. You eat an additional 1/2 Saturday morning. How much is left? If the pizza was cut into 10 slices, how many slices are left?
Answer:
3 slices
Step-by-step explanation:
There is a pizza with ten slices. 1/5 of ten is 2 slices. 1/2 of ten is 5 slices. 2 +5 = 7. 10 - 7 = 3 slices. Three slices have not been eaten.
Determine the measurements of all unknown angles and side lengths of triangle PQR round side lengths to the nearest hundredth
Answer:
Step-by-step explanation:
m∠P + m∠Q + m∠R = 180 degree
-> m∠R = 180 - ∠P - ∠Q = 180 - 99 - 31 = 50
[tex]\frac{PQ}{sin(R)} =\frac{PR}{sin(Q)} =\frac{QR}{sin(P)}[/tex]
PQ = [tex]\frac{QR*sin(R)}{sin(P)} = \frac{11*sin(50)}{sin(99)}[/tex]=8.53
PR = [tex]\frac{QR*sin(Q)}{sin(P)} = \frac{11*sin(31)}{sin(99)}[/tex]=5.74
1. Expand to write an equivalent expression: - 1/2 (-2x+4y)
2. Factor to write an equivalent expression: 26a−10
Answer:
[tex]1)x - 2y[/tex]
[tex]2)2(13a - 5)[/tex]
Step-by-step explanation:
[tex]1) - \frac{1}{2} ( - 2x + 4y) \\ \frac{2x}{2} - \frac{4y}{2} \\ = x - 2y[/tex]
[tex]2)26a - 10 \\ = 2(13a - 5)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the decimal equivalent to 34 % ?
Answer:
.34
Step-by-step explanation:
34% = 34/100 = .34
All percents are out of 100
What is the median of the number in the dataset [29,3,50,9]?
Answer:
19
Step-by-step explanation:
If you order the Numbers from Least to Greatest
3,9,29,50
9 and 29 are in the middle
(29 +9) Divided by 2 is 19 so your median is 19
Answer: 19
Step-by-step explanation:
The first thing you have to do is order the numbers from least to greatest: 3, 9, 29, 50.
Next you have to find out which number is in the middle, but since there are an even set of numbers there will be 2 numbers in the middle. The 2 numbers in the middle would be 9 and 29.
The next step is to find the mean, or average of 9 and 29. To find the mean of something you have add all the numbers together and divide the sum by the amount of number there are. So we would have to add 9+29 which is 38, then we have to divide 38 by 2 since there are 2 numbers. 38 divided by 2 is 19.
So that means the median is 19.
-9 = x + 4
Please Help
Answer
-13=x
Step-by-step explaination
-9 = x+4
-9-4 = x
-13 = x
help please desperate!!
Answer:
Step-by-step explanation:
[tex]V=\pi r^2h\\=\pi *4^2*3\\=48\pi[/tex]
Can some one explain how to do this?
Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{FG}{EG}[/tex] = [tex]\frac{28}{EG}[/tex] ( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = [tex]\frac{28}{tan60}[/tex] ≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{28}{EF}[/tex] ( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = [tex]\frac{28}{sin60}[/tex] ≈ 32.3 in ( to the nearest tenth )
Help looks like i forgot to read a ruler
Answer: 3 3/4
Step-by-step explanation:
Eight oranges and four apples costs $176. Three oranges and fifteen apples cost $335. How much would two oranges and five apples cost?
$204
$124
$116
$76
$136
Answer: $124
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
8 x + 4 y = 176
3x + 15 y = 335
Cost = sum of products (number of fruits x price per unit)
Where x is the price per orange and y is the price per apple.
We have to multiply the first equation by 3 ; the second equation by 8; and subtract the first equation to the second:
24x +120y =2680
24 x +12y = 528
_______________
108y =2152
Solving for y
y = 2152/108
y= 20
Replacing y =20 in any equation:
8x + 4 (20)=176
8x+80=176
8x =176-80
8x =96
x =96/8
x=12
Finally we have to calculate how much would two oranges and five apples cost.
2x+5y = 2(12)+5(20)= 24+100= $124
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x - 7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
XP-21
x2 - 4x - 21
X2 - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
No association means the y-values increase as the x-values decrease. *
A.True
B.False
Answer:
A.
Step-by-step explanation:
I TOOK THIS CLASS LAST YEAR.
Help plzz!! Will mark you as brainliest!!! The entrance to the Louvre Museum in Paris is a square-based pyramid. The volume of the pyramid is 9,039 with a height of 21.6 meters. What is the length of each side of the square base, to the nearest meter?
A. 29
B. 35
C. 627
D. 1,253
Answer: B
Step-by-step explanation: I worked it out but have doubts
The length of each side of the square base is 35 meters, option B is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of the pyramid is 9,039
The height is of 21.6 meters.
We need to find the length of each side of the square base.
V=1/3b²h
9039=1/3×b²×21.6
9039=7.2b²
Divide both sides by 7.2
b²=1255.4
Take square root on both sides
b=35.4
b=35
Hence, the length of each side of the square base is 35 meters, option B is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ6
Calculate the slope of the line that goes
through the ordered pairs (0, -7), and (-2,-27).
Answer:
10
Step-by-step explanation:
To find the slope subtract the points like the following:
(-27-(-7)/(-2-0)
= -20/-2
=10
So, the slope is 10.
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $58. The total cost to rent 5 chairs and 2 tables is $23. What is the cost to rent each chair and each table?
Answer:
Equations::
4c + 8t = 58
2c + 3t = 23
----------------
Modify for elimination:
4c (4c*1) + 8t (8t*1)= 58
4c (2c*2) + 6t (3t*2)= 46
---------------------
Subtract and solve for "t":
2t (8t-6t) = 12
t = $6 (cost of one table)
-----
Solve for "c":
2c + 3t = 23
2c + 18 = 23
2c = 5
c = $2.50 (cost of one chair)
3+jk+k3 when j=2 and k=6
Answer:
33
Step-by-step explanation:
Start with substituting variables j and k
3 + (2) (6) + 3(6)
= 3 + 12 + 18
= 15 + 18
= 33
Answer:
33
Step-by-step explanation:
3+ (2*6) + (6*3)
3+ 12+ 18
33
UZ:34745
If the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the
new parallelogram?
10 ini
8 in.
14 in.
78 in 2
84 in 2
104 in 2
108 in 2
Mark this and return
Save and Exit
Next
Submit
Answer:
The anwser is C
Step-by-step explanation:
Answer:
c:104 in
Step-by-step explanation:
Identify the polar coordinates for each value in the table below, discuss the shape and behavior of the graphs, and use this to graph the equation of r=2 cos〖3θ.〗
Symmetry hint: see if the equation is true for the following:
the line θ = 90°: replace (r, θ) with (r, 180° – θ) or (-r, -θ)
the polar axis: replace (r, θ) with (-r, 180° – θ) or (r, -θ)
the pole: replace (r, θ) with (r, 180° + θ) or (-r, θ)
Answer:
we know that
the relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
Θ = tan⁻¹ (y/x)
so
Part a) (2, −2)---------> this point belong to the IV quadrant
r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°
remember that the point belong to the IV quadrant
so
Θ=360-45-----> Θ=315°
the answer part A) is
(r,Θ)=(√8,315°)
Part b) (-1, 3)---------> this point belong to the II quadrant
r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°
remember that the point belong to the II quadrant
so
Θ=180-71.57-----> Θ=108.43°
the answer part B) is
(r,Θ)=(√10,108.43°)
mark me branlest plz hope it helps
The answers are a) (r,θ) = (√8,315°) and b) (r, θ) = (√10,108.43°).
The relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
θ = tan⁻¹ (y/x)
so,
A) (2, −2 belongs to the IV quadrant,
r = √(x² + y²)
r = √(2² + (-2)²
r=√8
θ = tan⁻¹ (y/x)
θ = tan⁻¹ (2/2)
= 45°
The point belongs to the IV quadrant,
so,
θ = 360-45
θ = 315°
Therefore,
(r,θ) = (√8,315°)
B) (-1, 3) belong to the II quadrant,
r = √(x² + y²)
r = √(-1² + (3)²)
r = √10
θ = tan⁻¹ (y/x)
θ = tan⁻¹ (3/1)
= 71.57°
The point belongs to the II quadrant ;
so,
θ = 180-71.57
θ = 108.43°
Therefore,
(r, θ) = (√10,108.43°)
Learn more about polar coordinates click;
https://brainly.com/question/31904915
#SPJ2
Which equation is a true proportion?
A. 3/2 = 2/3
B. 4/6 = 8/24
C. 7/14 = 21/28
D. 9/20 = 45/100
Answer:
D. 9/20 = 45/100
Step-by-step explanation:
9x5=45
20x5=100
Answer:
D
Step-by-step explanation:
If you times 9 and 20 by 5, 9 will equal 45 and 20 will equal 100
Need answer please hurry
Answer:
Step-by-step explanation:
A.
Camille's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.
The fitted line has a yyy-intercept of 373737.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The model predicts that the study time will increase 373737 hours for each additional point scored.
(Choice B)
B
The model predicts that the score will increase 373737 points for each additional hour of study time.
(Choice C)
C
The model predicts that a student who scored 000 points studied for 373737 hours.
(Choice D)
D
The model predicts that students who didn't study at all will have an average score of 373737 points.
A graph plots Score, from 0 to 90, in increments of 10, versus Study time, in hours, from 0 to 4.5, in increments of 0.5, on an x y plane. Dozens of points rise diagonally in a tight, narrow cluster between (1.8, 62) and (4.4, 95). A regression line rises diagonally through the center of the cluster from (0, 38) to (4.2, 100). All values estimated.
Answer:
D
Step-by-step explanation:
Khan Academy
The model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.
What is linear regression?Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.
We know that the y-coordinates of the regression line y=mx+c are (0,c) depicting that c is the y-intercept, corresponding x-coordinate is 0.
So, the model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.
Thus, The model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.
To get more about linear regression visit:
https://brainly.com/question/25987747
Use the binomial theorem to expand (a + b)^6
Answer:
(a+b)6= a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6
Step-by-step explanation:
Answer:
the answer is C
the following question is B
Step-by-step explanation:
edge 2020
A rectangular field has a length of 0.26 miles and a width of 0.48 miles find the area of the field
Answer:
0.1248
Step-by-step explanation:
To find area you multiply length and width.
Part A: What is the slope of the line?
Part B: What does the slope mean for this problem?
Part C: What is the Y-Intercept?
Part D: What does the Y-Intercept mean for this problem?
Part E: Write an equation for this function in slope-intercept form.
Thank you !! :)
Answer:
part A : slope equals 3
part B : It takes 3 hours for a change in temperature
part C : -6
part D : the initial temperature was -6°C
part E : Y = 3X - 6
PLZ I NEED URGENT HELP
Answer:
Project 4 Score ; 41
Step-by-step explanation:
Assuming that Project 4's score is x;
( Project 1 + Project 2 + Project 3 + Project 4 ) / 4 ⇒ take to substituting the value of each Project, provided Project 4's score being x;
45 = 42 + 49 + 48 + x / 4 ⇒ combine like terms,
45 = ( 139 + x ) / 4 ⇒ let 4 be a common denominator among numerator terms,
45 = 139 / 4 + x / 4 ⇒ divide 139 over 4,
45 = 34.75 + x / 4 ⇒ subtract 34.75 from either side,
10.25 = x / 4 ⇒ Multiply either side by 4,
x = 41 = Score of Project 4,
Solution; Project 4 ⇒ 41