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In the triangle you have
(180-28x) + 48 + 16x =180
X=4
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can someone answer this pls
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The answer should be A
Please Help Me ASAP I Need Real Help
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The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6. What is the equation for the function g(x)
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Answer:
A
Step-by-step explanation:
An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 29 − 0.2x (for 0 ≤ x ≤ 145),
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Answer:
a. The company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26
b. The number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.
Step-by-step explanation:
Note: This question is not complete and it has some errors in the figures used. The correct complete question is therefore provided before answering the question as follows:
An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 27 − 0.2x (for 0 ≤ x ≤ 135), the price function for cars sold in Europe is q = 15 − 0.1y (for 0 ≤ y ≤ 150), and the price function for cars sold in Asia is r = 19 − 0.1z (for 0 ≤ z ≤ 190), all in thousands of dollars, where x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively. The company's cost function is C = 26 + 3(x + y + z) thousand dollars.
(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]
P(x, y, z) =
(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]
The explanation to the answers is now given as follows:
(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]
p = price function for cars sold in America = p = 27 − 0.2x (for 0 ≤ x ≤ 135)
q = price function for cars sold in Europe = 15 − 0.1y (for 0 ≤ y ≤ 150)
r = price function for cars sold in Asia = 19 − 0.1z (for 0 ≤ z ≤ 190)
C = company's cost function = 26 + 3(x + y + z) = 26 + 3x + 3y + 3z
P(x, y, z) = profit function
x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively
Therefore, we have:
TR = Total revenue = px + qy + rz …………………………….. (1)
Substituting the relevant values into equation (1), we have:
TR = (27 − 0.2x)x + (15 − 0.1y)y + (19 − 0.1z)z
TR = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2
Also,
P(x, y, z) = TR – C ……………………………………… (2)
Substituting the relevant values into equation (2), we have:
P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – (26 + 3x + 3y + 3z)
P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – 26 – 3x – 3y – 3z
P(x, y, z) = 27x – 3x +15y – 3y +19z – 3z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26
P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26 ……………….. (3)
Therefore, the company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26.
(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]
As indicated in the question, the number cars that should be sold in each market to maximize profit can be calculated by deriving the three partials Px, Py, and Pz from the profit function P(x, y, z), i.e. equation (3) in part a above, and set equal to zero and then solve as follows:
In America
From equation (3), we have:
Px = 24 – 0.4x = 0
Therefore, we have:
24 – 0.4x = 0
24 = 0.4x
x = 24 / 0.4
x = 60
In Europe
From equation (3), we have:
Py = 12 – 0.2y = 0
Therefore, we have:
12 – 0.2y = 0
12 = 0.2y
y = 12 / 0.2
y = 60
In Asia
From equation (3), we have:
Pz = 16 - 0.2z = 0
Therefore, we have:
16 - 0.2z = 0
16 = 0.2z
z = 16 / 0.2
z = 80
Based on the above calculations, the number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.
Plssss helppppp?????
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Answer:
B and D
Step-by-step explanation:
0.6D & d + 0.6d
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Triangle ABC is isosceles with segment congruent to segment BC. The measure of angle degrees. Find the measure of angle A!!!
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Help! Idk NOT know this will give crown
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Answer:
40
Step-by-step explanation:
the triangle with the missing lenght is being multiplied by 8. 5 times 8 is 40. have a good day
Find the dot product of the vectors u and v, where u=12 and v=7, and the angle between is theta=55
A. u x v=68.81
B. u x v=48.18
C. u x v=10.90
D. u x v=2.87
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Answer:
The answer is B
Step-by-step explanation:
Answer:
Option B is correct.
w+(-x)-2/3 when w= -5/9 and x=4/3
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9514 1404 393
Answer:
-2 5/9
Step-by-step explanation:
w +(-x) -2/3 = w -x -2/3 = -5/9 -4/3 -2/3
= -(5/9 +4/3 +2/3) = -(5/9 +(4+2)/3) = -(5/9 +2)
= -2 5/9
-2a + 3 = 30-12 what does that equal ?
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a = -7.5
fjrndiskkejfff
Find the slope of the line going through the points (11,5) and (20,5)
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(y2 - y1) ÷ (x2 - x1)
We already know two points:
(11, 5) and (20, 5) (Remember points are like (x, y)
Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11
Substitute these into the formula from the start:
(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9
And we can determine the slope is equal to 0 as 0 ÷ 9 = 0
A car travels a distance of 104 miles in 4 hours. What is the speed in miles per hour
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Answer:
26
Step-by-step explanation:
104 miles
4 hours
so do 104/4, then you get 26
so 26 miles per an hour
Speed of the car is 26 miles per hour.
What is speed?Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Speed formula can be used to find the speed of objects. The formula for the speed of a given body can be expressed as,
Speed = Distance ÷ Time
Given,
Car travels distance = 104 miles
Time taken to travel 104 miles = 4 hours
Speed = distance/ time
Speed of car
= 104/4
= 26 miles per hour
Hence, 26 miles per hour is the speed of car.
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What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-Intercept
of 2
Ox+y20
Ox-y + 20
OX-y-20
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Answer:
y = -x + 2
Step-by-step explanation:
The equation of line is often written in the form;
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
From the given parameters;
c = 2
(1,1) are the coordinates
Let us find the slope of the line;
1 = m(1) + 2
1 = m + 2
m = 1- 2 = -1
The equation of the line is;
y = -1x + 2
y = -x + 2
pls help i really need it
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Answer:
I think if you look up the equation on google there is a calculator and you may get some of your answers there
Step-by-step explanation:
Noah has 70 baseball cards. He wants to put the cards
in a book. He can fit 10 cards on each page of the book.
Which number sentence can be used to find the number
of pages Noah can fill with baseball cards?
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Answer:
70/10=7
Step-by-step explanation:
PLEASE HELP DUE IN 20
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Answer:
-4/3 if its asking for slope
Step-by-step explanation:
To get this i did change in y over change in x.
i took the first two pairs.
-4-(-7)=3
8-12=-4
PLEASE HELP 20 POINTS. Select Yes or No to indicate whether a zero must be written in the dividend to find the quotient.
1.4/0.05 {select}
2.88/0.6 {select}
2.61/0.3 {select}
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Answer:
Yes
Step-by-step explanation:
75÷5−[(9−7)×3]×2 please
Help
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Answer:
75 ÷ 5 - [(9-7) x3] x 2= −2[tex]x^{5}[/tex]+15
Step-by-step explanation:
You have a garden in your backyard that measures 15 meters by 20 meters. You want to place stepping stones around the perimeter of the garden. The area of the new garden (original garden + stone placed around the perimeter) is 336m². What is the width of the stone border? (Assume the border has the same width around the entire perimeter.) Equation used = bi Width of stone border = meters
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Answer:
0.5 m
Step-by-step explanation:
Given that the dimensions of the garden are 15 meters by 20 meters.
The area of the new garden (original garden + stone placed around the perimeter) is 336m².
Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.
The area including the shaded region [tex]= (15+2d)(20+2d) m^2[/tex]
[tex]\Rightarrow 336 = (15+2d)(20+2d) \\\\\Rightarrow 336 = 300+ 70 d +4d^2 \\\\\Rightarrow 4d^2 +70d+300-336=0 \\\\\Rightarrow 4d^2 +70d-36=0 \\\\\Rightarrow 2d^2 +35d-18=0 \\\\\Rightarrow 2d^2 +36d-d-18=0 \\\\\Rightarrow (2d-1)(d+18)=0 \\\\\Rightarrow (2d-1)=0, \; or \; (d+18) \\\\\Rightarrow d= 0.5\;or -18 \\\\[/tex]
As the width of the stone border can't be a negative value, so taking the positive value.
Hence, the width of the stone border is 0.5 m.
So, the wi
(9x-4y) x (-2) + (3x+2y)
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Answer:(3x-2y)(3x+2y)
Step-by-step explanation:
IT is this one
Answer:[tex]-18x^{2} +8yx+3x+2y[/tex]
Step-by-step explanation:
If there were 9 apples and John ate 8 of them, then went to the supermarket to buy another apple. How many apples does John have?
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Answer:
1 apple
Step-by-step explanation:
9 apples - 8 apples, so there is one apple left, but it is not John's apple, and he goes to the store to buy one so now he has one. :)
A recipe includes 9 cups of flour and 3 4 cup of butter. Write the ratio of the amount of flour to the amount of butter as a fraction in simplest form.
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Answer:
9:3/4
Step-by-step explanation:
Answer: the answer is 12
Step-by-step explanation:
you need to croos at your denmator add your knew one then when you multiply you divide the two numbers.
PLEASE HELP WHAT IS THE GREATEST INTEGER THAT ALWAYS DIVIDES THE DIFFERENCE OF SQUARES OF ANY TWO POSITIVE ODD INTEGERS PLEASEEEE
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QUICK HELP PLEASE!!
AABC has vertices A(0, 10), B(8, 11), and C(6,3). Which coordinate proof correctly
shows that AABC is a scalene triangle?
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Answer: AC= 85 BC= 68 and AB=65 The sides of the triangle are all of different lengths which means that ABC is a scalene triangle.
Step-by-step explanation: A scalene triangle only has different lengths! :)
Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink?
A. The burger cost $4; the drink cost $3.
B. The burger cost $2; the drink cost $4.
C .The burger cost $5; the drink cost $3.
D. The burger cost $3; the drink cost $2.
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Answer:
A
Step-by-step explanation:
2(4)+4(3) =20
8+12=20 yes
--------------------------
2(4)+2(3)=14
8+6=14 yes
Answer:
2 burgers and 4 drinks= $20 while 2 burgers and 2 drinks=$14
if the burger cost was $2 and the drink cost was $4, Emily would've spent $20 while Deja would've spent $12, so B's wrong
if the burger cost was $5 and the drink cost was $3, Emily would've spent $22, so C's incorrect, too
if the burger cost was $3 and the drink cost was $2, Emily would've spent $14 and Deja would've spent $10 so D's false as well
Therefore A's correct
Step-by-step explanation:
the burger cost is $4 and the drink cost is $3, Emily spent $20 and Deja spent $14
t=total, bc= burger cost, dc=drink cost
Emily's Equation:
t= 2(bc)+4(dc)
t=2(4)+4(3)
t=8+12
t=20
20=20
Deja's Equation
t=2(bc)+2(dc)
t=2(4)+2(3)
t=8+6
t=14
14=14
What is y=4/5x+20 in standard form
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Answer:
4x-5y=-100
Step-by-step explanation:
Answer:
y = 100
Step-by-step explanation:
Standard Form 1/5y-20=0
Joanne drinks a pint of milk. Debra drinks a litre of milk. Who drinks more?
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Answer:
Debra drank more
Step-by-step explanation:
1pint = .4 liters
1. What would be the first step in solving the equation below for r ?
A = 4r
a add 4 to both sides
b subtract 4 to both sides
c divide 4 to both sides
d multiply 4 to both sides
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Answer:
C; multiply 4 to both sides
Step-by-step explanation:
When you want to solve for a variable, you always want to isolate it.
So, to move 4, we have divide:
[tex]\frac{A}{4}[/tex] = [tex]\frac{4r}{4}[/tex].
The 4 in 4r is "one'd" out, and now we have 1r, or simply r.
Now, we have r = A/4
Now use decimal numbers to write an expression that represents the length of the walls that Seth measured.
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Answer:
3.5 + (22.75 x 2) + 58
Step-by-step explanation:
the number of miles traveled varies directly with the number of hours traveled, the relationship is
shown in the graph below. what is the rate of speed in miles per hour?
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Answer:where is graph
id like to help buuuuuuuuuuuuuuuuuut i cant
The rate of change is 62.5 miles per hour.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take two points from graph as (1, 50) and (5, 300)
So, the rate of change is
=(300-50)/ (5-1)
= 250 /4
= 62.5
Hence, the rate of change is 62.5 miles per hour.
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