Answer:
16/81
Step-by-step explanation:
Same as (2/3)^4
The owner-manager of Good Guys Enterprises obtains utility from income (profit) and from having the firm behave in a socially conscious manner, such as making charitable contributions or civic expenditures. Can you set up the problem and derive the optimization conditions if the owner-manager wishes to obtain a specific level of utility at the lowest possible cost? Do these conditions differ from the utility maximizing conditions?
Answer:
Step-by-step explanation:
Certainly! To set up the problem, we can consider the owner-manager's utility as a function of two variables: income (profit) and charitable contributions or civic expenditures. Let's call these variables x and y, respectively.
The owner-manager utility is given by the function U(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.
The cost of obtaining this utility is given by the function C(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.
To find the lowest possible cost at which the owner-manager can obtain a specific level of utility, we can use the following optimization conditions:
The cost function C(x,y) should be minimized subject to the constraint U(x,y) = k, where k is the specific level of utility that the owner-manager wishes to achieve.
The first-order necessary conditions for a minimum are:
∂C/∂x = λ ∂U/∂x
∂C/∂y = λ ∂U/∂y
where λ is a Lagrange multiplier.
These conditions are known as the Karush-Kuhn-Tucker (KKT) conditions.
These optimization conditions differ from the utility-maximizing conditions in that we are minimizing the cost function instead of maximizing the utility function. In addition, we have the constraint U(x,y) = k, which means that we are trying to achieve a specific level of utility rather than trying to maximize it.
Round the number to the given place value.
In a town in California, the average consumption of soft drinks per day per elementary school
student is 15.766 ounces. Round this value to the nearest tenth.
Supplementary for solving x
Answer:
sorry
Step-by-step explanation:
Answer:
M<3 is 49 degrees, M<4 is 131 degrees
Step-by-step explanation:
This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees
First, we know that M<1 and M<2 added together is 180. We know M<1 is 11x-38 and M<2 is 19x+8, so then, we have:
(11x-38) + (19x+8) = 180
30x - 30 = 180
30x = 210
x = 7
Now, we plug in 7 for x to find M<1 and M<2.
M<1 is (11x-28), so it would be 49 degrees.
M<2 is (19x+8), so it would be 131 degrees (or just do 180-49).
Now, we can find M<3 and M<4 easily. M<3 and M<2 are supplementary, so 131 + M<3 must equal 180. Thus, M<3 is 49.
M<4 and M<1 are supplementary, so 49 + M<4 must equal 180. Thus, M<3 is 131.
AN EASIER WAY TO FIND M<3 AND M<4:
Vertical angles are angles directly opposite each other, created by two intersecting lines. A pair of vertical angles holds the same degree measurements. In this problem, M<2 and M<4 are a pair of vertical angles, and M<3 and M<1 are a pair. Thus, M<2 and M<4 must are the same degree and M<3 and M<1 must are the same degree. Thus, if M<2 is 131, M<4 is 131 degrees as well. If M<1 is 49 degrees, M<3 is 49 degrees as well.
Find all solutions of
Answer: [tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex], [tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]
Step-by-step explanation:
Given
[tex]\sin x-\sqrt{1-3\sin^2x}=0[/tex]
Take the square root term to the right-hand side
[tex]\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}[/tex]
for
[tex]\sin x=\dfrac{1}{2}[/tex]
[tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex]
for
[tex]\sin x=\dfrac{-1}{2}[/tex]
[tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]
Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.
Question 2 options:
A)
Reflection along x-axis; Translation: (x, y) → (x, y – 3)
B)
Reflection along y-axis; Translation: (x, y) → (x, y – 3)
C)
Reflection along y-axis; Translation: (x, y) → (x, y + 3)
D)
Reflection along x-axis; Translation: (x, y) → (x, y)
Reflection along y axis
Translation: [tex](x,y) \to (x,y-3)[/tex] which means we shift 3 units down
===========================================================
Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation [tex](x,y) \to (x,y-3)[/tex]
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.
Help thank you so much !
2.0.8625
3.9.3625
4.168.75
5.smaller than
6.greater than
7.greater than
8.smaller than
9.greater than
10.smaller than
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
<5=39
Step-by-step explanation:
<2=48
<3=93
<2 and <4 are equal to each other because they are alternate interior angles
93+48=141
180-141=39
Answer:
∠5 = 39º
Step-by-step explanation:
∠1 + ∠2 + ∠3 = 180
∠1 + 48 + 93 = 180
∠1 = 180 - 48 - 93
∠1 = 39
Corresponding angles are congruent
∠5 = ∠1
∠5 = 39º
Hai everyone! I need a little help again on this second part of a problem. Please do not leave links or you will be reported. (Yes, this is another problem on probability I'm stuck on)
An explanation to go along as well would be very helpful.
problem:
Answer the following question using arrangements with repetition, permutations, or combinations.
How may different six-digit passwords can be formed from the numbers zero to six if repetition is not allowed? Calculate how many different passwords are possible. (Type a whole number.)
Answer:
one million
Step-by-step explanation:
a six digit passcode has one million possible combinations instead of 10,000.
What is the length of the missing leg?
Answer:
a = 12
Step-by-step explanation:
Formula:
a² + b² = c²
Given:
b = 9
c = 15
Finding a:
a² + b² = c²
a² = c² - b²
a² = 15² - 9²
a² = 225 - 81
a² = 144
[tex]\sqrt{a^2} =\sqrt{144}[/tex]
a = 12
Answer:
12
Step-by-step explanation:
To solve this, use the pythagreons theorm:
a^2+b^2=c^2
A and B are the side lengths, while is the hypotenuse, which in this case is 15 meters.
So lets plug in our values and solve for the missing length:
9^2+b^2=15^2
Square all the values except for the unknown:
81+b^2=225
Subtract from both sides to get b alone:
b^2=144
Take the square root of both sides so b^2 becomes b:
b=12
So your answer is 12!
Hope this helps!
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
Rectangle 1 :
b*h = 21
Triangle :
a= 1/2 b*h
3*7= 21 /2=10.5
Add both 10.5 + 21 =
31.5
Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent. a. 38% of the moon will be visible b. 9% of the moon will be visible c. 35% of the moon will be visible d. 99% of the moon will be visible
Answer:
B
y = 0.508 sine (0.212 x minus 1.529) + 0.512
Step-by-step explanation:
just took the test
I’m giving points pls answer quickly (don’t send me a link pls just tell me answer)
Answer:
15,000 feet cubed
Step-by-step explanation:
15 x 15 = 225
10 x 15 = 150
150 / 2 = 75
225 = 75 = 300
300 x 50 = 15,000 feet cubed
Answer:
15000 ft^3
Step-by-step explanation:
You said you just wanted the answer so I won't explain in depth but let me know if you want an in depth explanation.
15*15=225
225*50= 11250
10*15=150
150/2=75
75*50=3750
11250+3750= 15000
Answer: 15000ft^3
Moya is moving to a new house and packing up. She has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service. How much more do her clothes weigh than her books? How much is her shipping cost of sh has to pay $80 per kg of books and $200 per kg of clothing?
The amount that her clothes weigh more than her books would be = 57kg
The amount for the shipping cost for her school would be = 5600+25400 = $31000
What is postal service?Postal service is the type of service that helps.in the delivery of goods from one location to another when the goods are properly registered.
The mass of Moya's books = 70 kilograms
The mass of Moya's clothing = 127 kg
The difference between the bothe masses = 127 - 70 = 57kg
The cost per kg for books = $80 per kg
The cost per kg of clothing = $200
Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)
= 5600+25400 = $31,000.
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Whats the volume for this question?
Answer: 34 21/64
Step-by-step explanation: Multiply all the sides to get the Volume.
3 1/4 x 3 1/4 x 3 1/4 = 34 21/64
Layla has 29 carnival ride tickets and it takes for tickets to ride the roller coaster how many times can she ride the coaster how many tickets does she have left over
Answer:
7 times with 1 left over
Step-by-step explanation:
29/4=7
(28)
Remainder 1
A farmer has 240 acres to plant. He needs to decide how many acres of corn to plant and how many of oats. He can make $40 per acre profit for corn and $30 per acre for oats. However, the corn takes 2 hours of labor per acre to harvest and the oats only take 1 hour per acre. He only has 320 hours of labor he can invest. To maximize his profit, how many acres of each should he plan
Answer:
The acres of each the farmer must plant to obtain the maximum profit is:
160 acres of oat.80 acres of corn.Step-by-step explanation:
First, we're gonna take the data of the exercise:
Area: 240 acres.Profit of the corn: $40/acreProfit of the oat: $30/acreTime spent by corn: 2 hour per acre.Time spent by oat: 1 hour per acre.Total working time available: 320 hours.Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:
Total profit with corn = area * profit of the cornTotal profit with corn = 240 acres * $40/acreTotal profit with corn = $9600How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:
Total profit with corn = 160 * $40Total profit with corn = $6400Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:
Total profit with oat = area * profit of the oatTotal profit with oat = 240 acres * $30/acreTotal profit with oat = $7200Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:
Area used for oat = 240 acres * 2/3Area used for oat = 160 acresArea used for corn = 240 acres * 1/3Area used for corn = 80 acresHow you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:
Real profit with oat = used area * profit of the oatReal profit with oat = 160 acres * $30/acreReal profit with oat = $4800Real profit with corn = 80 acres * $40/acreReal profit with corn = $3200The total profit to the farmer with this plan is:
Total profit = Corn profit + Oat profitTotal profit = $3200 + $4800Total profit = $8000The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.
Given U(-6, 7), V (1, -7), W (6, 4), and X (10, y). Find y such that
UV LWX.
What is the value of y in the equation y = 1/4 x divided by 2 when x =32
The value of y is 16 when x = 32 for equation y = (1/4)x divided by 2.
What is an equation?Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It displays how the expressions on the left and right sides are equally related. We have LHS = RHS in any mathematical equation. Equations can be solved to get the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol, a statement is not an equation.
The given equation is
y = 1/4 x divided by 2
So,
y = ((1/4)x)/ 2
y = (2/4) × x
Put x = 32
y = 2/4 ×32
y = 2 × 8
y = 16
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The two-way table shows the number of students in a class who play basketball and/or football.
What is the missing number in the table?
A) 2
B) 10
C) 34
D) 46
will mark BRAINLIEST*
What are the exact values of a and b ?
CORRECT ANSWER
PROVIDE EXPLANATION
Answer:
b
Step-by-step explanation:
i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5
Please help giving brainliest
Answer:
H 28.26 mm
Step-by-step explanation:
Can someone help with this question it’s short and simple but I still don’t get it?
Answer:
anything lower than 7 can be substituted for x to make this work
Step-by-step explanation: i tried
help it’s due today and i haven’t done it since wensday
Answer:
135
Step-by-step explanation:
:)
Answer:
When you convert them both you get 135
help me pls the question is in the picture
Answer:
Step-by-step explanation:
What is the value of x?
x = [ ? 10
9514 1404 393
Answer:
30
Step-by-step explanation:
The triangle inside the circle is an equilateral triangle, so the central angle is 60°. That angle is one of the acute angles in the right triangle formed by the tangent line. The other acute angle (x°) in that right triangle is the complement of 60°.
x° = 90° -60° = 30°
x = 30
reduce the fraction 3×15×24 /16×20×6 no links or files
Answer:
1 38888888889/50000000000
Step-by-step explanation:
The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000
Solve x^3 + x - 4 = 0, leaving your answers correct to 2 decimal places.
The solution to the equation x³ + x - 4 = 0 is x = 1.38
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
x^3 + x - 4 = 0
Express the exponents as proper superscript
So, we have the following representation
x³ + x - 4 = 0
Next, we solve the equation using a graph
i.e. we plot the graph of x³ + x - 4 = 0
See attachment for the graph of x³ + x - 4 = 0
The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution
In this case, the point is 1.38
Hence, the solution is x = 1.38
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Anyone who know what the answer please please help me faster???!!?!
Answer: The probability of randomly selecting a student in sports is 65% or 65/100
Step-by-step explanation:
40 pupils in class 4A scored 380 points in a contest. Each girl scored
10 points and each boy scored 8 points. How many girls are there in
class 4A?
There are 30 girls and 10 boys
how far will a train travel in 5hours if it travels at 80ml per hour
Answer:
If the ml means miles than its 400
Step-by-step explanation: