The optimal values of x and y to maximize the profit are 10 and 10, respectively, and the maximum profit is $200.
Let X and Y represent the number of units of product A and B that we want to produce. We want to maximize the profit, so our objective function is:
Profit = 10x + 15y
The constraints are:
X + Y ≤ 20
2X + Y ≤ 30
X ≥ 0, Y ≥ 0
To find the optimal values of x and y, we must first solve the system of equations. By subtracting the first equation from the second equation, we get:
X = 10
Substituting this value into the first equation, we get:
Y = 10
Now that we have found the values of x and y, we can plug them into the objective function to find the maximum profit:
Profit = 10(10) + 15(10) = 200
Therefore, the optimal values of x and y to maximize the profit are 10 and 10, respectively, and the maximum profit is $200.
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Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are?
Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are repeated.
This is an exercise related to Game Theory.
What are repeated game?The extended form is typically used to depict repeated games, commonly referred to as supergames, in game theory since they occur repeatedly across time.
The potential of collaborating means that we may choose to compromise in order to continue earning a payout over time, knowing that if we do not fulfill our part of the bargain, our adversary may decide not to either.
As contrast to one-shot games, recurring games provide a new set of incentives.
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The floor of a rectangular room measures 5m by 4m and the ceiling is 3m from the floor. An ant is at the top of a corner of the room and crawls to the opposite bottom corner of the room. Find the shortest distance it can travel.
Answer: [tex]5\sqrt{2}[/tex] m
Step-by-step explanation:
Using the pythagorean theorem, we get that the shortest distance it can travel is [tex]\sqrt{3^2+4^2+5^2}[/tex] = [tex]5\sqrt{2}[/tex] m
Graph the function shown g(x)=-|x-4|
Using translation concepts, the graph of g(x) = -|x - 4| is shown at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The graph of g(x) = -|x - 4| is the graph of f(x) = |x| with these following changes:
Reflection over the x-axis.Shift right of 4 units.At the end of the answer, the graph shows functions f(x) in red and g(x) in blue.
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20 POINTS
good morning, can you please help me
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
Make a study of minimum amount of basic nutrients needed for a 12-year-old child to survive in the world
Basic nutrients a 12-year-old needs are:
ProteinCarbohydratesFatsCalciumIronFolate FiberVitamin AVitamin CWhat are nutrients?A nutrient is a material that an organism requires in order to survive, grow, and reproduce. Animals, plants, fungi, and protists are all required to consume dietary nutrients. Nutrients can be absorbed by cells for metabolic reasons or expelled by cells to form non-cellular structures such as hair, scales, feathers, or exoskeletons. Some nutrients, such as carbohydrates, lipids, proteins, and fermentation products (ethanol or vinegar), can be metabolically reduced to smaller molecules in the process of generating energy, resulting in the end products of water and carbon dioxide.The following are the nine nutrients that a youngster should consume on a daily basis:
ProteinCarbohydratesFatsCalciumIronFolate FiberVitamin AVitamin CTherefore, basic nutrients a 12-year-old needs are given.
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Determine the explicit formula for the sequence 4, 7, 14, 25
Step-by-step explanation:
You already know that we use tn=an²+bn+c for these kinds of sequences:
4, 7, 14, 25, ...
7–4=314–7=7now
7–3=4
So 2a=4===> a=2
[tex] a_{1} = 4 = = > n = 1 \\ 4 = 2 \times {1}^{2} + b + c = = = = > \\ b + c = 2[/tex]
[tex] a_{2} = 7 = = > n = 2 = = = > \\ 7 = 2 \times {2}^{2} + 2 \times b + c = = = > \\ - 1 = 2b + c[/tex]
b+c=22b+c=–1b=–3, c=5
So the final result is:
[tex] t_{n} = 2 {n}^{2} - 3n + 5[/tex]
Factorize the expressions 8a⁶ + 5a³ + 1.
Use a³+b³ +c³ - 3abc
Here a = 2a²
b= -a
And c = 1
Answer:
Step-by-step explanation:
1. in the function equation ff (xx ) = 1500 (1.43)^x,is this growth or decay? what is the percent of growth/decay? what is the initial value? 2. the number of bacteria in a sample can be modeled by the equation yy = 75(.8)^x, where y is the number of bacteria and x is the number of days elapsed. what is the rate of decay? 3. monthly car sales for a certain type of car are $350,000 and sales are depreciating at a rate of 3% per month. a. write an equation to represent this situation. b. what will the monthly sales be after 8 months? 4. two auction websites start with 100 members each. at site a, the number of members doubles each month. at site b, 500 new members are added each month. between months 5 and 6, which website gains more members and by how much?
1. The given function is growth.
The percent of growth is 43%.
The initial value is 1500.
2. The rate of decay is 20% per day.
3. a. The exponential equation representing the sales after x months for the given situation is 3500000(0.97ˣ).
b. The monthly sales after 8 months will be $274,310.1758.
4. Between months 5 and 6, the website gains more members. The difference between the two sites for this period is 2700 members.
An exponential function is of the form f(x) = (a)(bˣ), where a is the initial value, and b is the exponential factor.
When b > 1, we have growth, and when b < 1, we have decay or depreciation.
1. Given function, f(x) = 1500(1.43ˣ).
The exponential factor in this function is 1.43, which is greater than 1, thus we have growth.
The percent of growth = (1.43 - 1)*100% = 43%.
The initial value = 1500.
2. Given an equation, y = 75(.8ˣ).
The exponential factor in this function is 0.8, and x signifies the days passed.
Thus, the rate of decay = (1 - 0.8)*100% per day = 20% per day.
3. Initial value = $350,000.
Rate of depreciation = 3% per month.
a. Thus, the equation for the sales after x months can be given as:
f(x) = 350000(1 - 0.03)ˣ = 350000(0.97ˣ).
b. To find the monthly sales after 8 months, we substitute x = 8.
Sales = 350000(0.97⁸) = $274,310.1758.
4. Initial members for both sites = 100.
For site a:-
Members double each month.
This makes an exponential equation, f(x) = 100.(2ˣ), where x is the number of months.
The growth between months 5 and 6 can be calculated as:
f(6) - f(5) = 100.(2⁶) - 100.(2⁵) = 6400 - 3200 = 3200.
For site b:-
500 new members are added each month.
This makes a linear equation, f(x) = 100 + 500x, where x is the number of months.
The growth between months 5 and 6 can be calculated as:
f(6) - f(5) = (100 + 500*6) - (100 + 500*5) = 3100 - 2600 = 500.
Thus, between months 5 and 6, the website a gains more members. The difference between the two sites for this period is 2700 members.
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Solve for x in the diagram below
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\text{3x = 120}^\circ[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\text{3x = 120}^\circ[/tex]
[tex]\huge\textbf{Divide \boxed{\bf 3} to both sides:}[/tex]
[tex]\rm{\dfrac{3x}{3} = \dfrac{120}{3}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\rm{x = \dfrac{120}{3}}[/tex]
[tex]\rm{x = 40}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the area of triangle lmn? 3 square units 4 square units 6 square units 8 square units
The area of the triangle LMN is 4 units squared.
How to find area of a triangle?The area of a triangle can be described as follows:
The area of the triangle by using the base and height of the triangle.
area of a triangle = 1 / 2 bh
where
base of the triangleheight of the triangleTherefore,
base = NL = 4 units
height = PM = 2 units
Therefore,
area of the triangle = 1 / 2 × 4 × 2
area of the triangle = 8 / 2
area of the triangle = 4 units²
Therefore, the area of the triangle LMN is 4 unit squared.
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Answer: B. 4 Square Units
Step-by-step explanation:
From a functionalist view point, the U.S. economic system would be seriously strained if we completely eliminated poverty level wages.
It is true that the U.S. economic system would be seriously strained if we completely eliminated poverty level wages."
What is poverty level wages?The poverty level wages stipulates the lowest or minimum possible wages that a person can be paid in a functional economy. The maintenance of the poverty level wages helps the economy to remain functional and afloat.
Thus, it is a true statement that; From a functionalist view point, the U.S. economic system would be seriously strained if we completely eliminated poverty level wages."
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12 x (3 + 2 to the second power) divied by 2 - 10
Answer:
32Step-by-step explanation:
Assuming that the question is:
12 * (3 + 2^2) : 2 - 10 = remember PEMDAS
12 * (3 + 4) : 2 - 10 =
12 * 7 : 2 - 10 =
84 : 2 - 10 =
42 - 10 =
32
Answer:
-10.5
Step-by-step explanation:
[tex]\frac{12*(3+2^2)}{2-10}[/tex]
2²= 4
3+4=7
12×7=84
2-10=-8
84÷-8= -10.5
Hope it helped, comment below if you need more assistance! :)
The equation table below represents Lavaughn's earnings in dollars and
cents, y, for working a hours. Find the rate of change.
The rate of change is also known as the slope. The formula to find the slope of a line is (y2 - y1) / (x2 - x1).
You can use any two points, as long as both are on the line.
Point 1 = (2, 55)
Point 2 = (8, 220)
slope = (220 - 55) / (8 - 2)
slope = 165 / 6
slope = 55 / 2 = 27.5 / 1
Lavaughn earns $27.50 for working one hour.
Hope this helps!
Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.
Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared
Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Yes, any set of lengths with a common factor is a Pythagorean triple.
No, the lengths of Pythagorean triples cannot have any common factors.
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not
Multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
How to verify if a triangle form Pythagorean triple?Pythagoras's principle follows the rule:
c² = a² + b²
where
a and b are the legsc is the hypotenuse side.Therefore, Pythagorean triples are a² + b² = c² where a, b and c are the three positive integers. The most known and smallest triplets are (3,4,5).
If we reduced the length of the side of the triangle with the greatest common factor, it should give us 3, 4, 5.
Hence,
21, 28 and 35 has greatest common factor as 7
21 / 7 , 28 / 7 and 35 / 7
3, 4, 5
Hence, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
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Prove or disprove the following. In any group of two or more people, there are always at least two people who have the same number of friends. Assume that if a person p is a friend of a person q then q is also a friend of p.
Yes we can prove that in the group of more than two people that there are at least two people that have the same number friends given the condition here.
How to go about this proofLet us create a variable P. P is an individual called Joe. Now Joes seems to know all at this party. This tells us that all at this party should at least know him.
We have the set {1,2,...n-1} , given that the minimum number of persons that one person knows is 1.
Let us assume we have Harry. Harry is a party crasher who came to the party. Hence it is possible that someone like Joe that knows all at the party may not even know him. Hence the maximum persons that a person would know is given to be n. The set would then be {0, 1,...,n-2}.
There are n elements in the 2 sets that we have above. Given that n people are at this function, and there are n possibilities for the number that one person can know of the participants, then we can say that at least two people can then know equal number of persons at the party.
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For which mapped relation is the domain ?
Answer:
C.
Step-by-step explanation:
For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.
The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.
The correct answer is C.
Hope this helps!
does anyone want to play tarkov and run customs or something lol? add me on disc destructer11#0001
Answer:
Step-by-step explanation:
Mabye later
A triangle has two sides of lengths 6 and 9
the third side be?
Check all that
What value
apply.
could the length of
Answer:
A, C, E, F
Step-by-step explanation:
since nothing else was said, it is a general triangle. nothing special about it.
so, the only rules are that the sum of any pair of sides must be longer than the 3rd side (otherwise, if the 3rd side is longer, the sides could not connect).
A. 10.
so, we have
6 + 9 > 10 true
6 + 10 > 9 true
9 + 10 > 6 true
therefore this is a possible 3rd side.
B. 2.
so, we have
6 + 9 > 2 true
6 + 2 > 9 false
9 + 2 > 6 true
therefore this is NOT a possible 3rd side.
C. 4.
so, we have
6 + 9 > 4 true
6 + 4 > 9 true
9 + 4 > 6 true
therefore this is a possible 3rd side.
D. 15.
so, we have
6 + 9 > 15 false
6 + 15 > 9 true
9 + 15 > 6 true
therefore this is NOT a possible 3rd side (this triangle is a special case as 6+9 = 15 : it can only exist as a completely flat line and is therefore not a triangle).
E. 12.
so, we have
6 + 9 > 12 true
6 + 12 > 9 true
9 + 12 > 6 true
therefore this is a possible 3rd side.
F. 7.
so, we have
6 + 9 > 7 true
6 + 7 > 9 true
9 + 7 > 6 true
therefore this is a possible 3rd side.
A point in quadrant iii is reflected across the y-axis. what is true about the new location? check all that apply.
The new location is in Quadrant IV and The new location has a positive x-coordinate and a negative y-coordinate. Hence, option b and c are correct.
What are Coordinates?The horizontal and vertical addresses of any pixel or addressable point on a computer display screen are, respectively, represented by the x and y coordinates.The pixel (pixel 0) on the far left of the screen serves as the beginning point for the x coordinate, which is a predetermined distance along the horizontal axis of a display.The y coordinate is a specified range of pixels along a display's vertical axis, starting at the top pixel (pixel 0). The x and y coordinates work together to pinpoint any particular pixel location on the screen.As values relative to any beginning point on the screen or any portion of the screen, such as an image, x and y coordinates can also be given.Solution:
If the point were to reflect across the y-axis, it would fall into the fourth quadrant.
Additionally, the coordinates will be positive for the x-axis and negative for the y-axis.
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I hope you are trying to ask the question below:
Question
A point in Quadrant III is reflected across the y-axis. What is true about the new location? Check all that apply.
a. The new location is in Quadrant II.
b. The new location is in Quadrant IV.
c. The new location has a positive x-coordinate and a negative y-coordinate.
d. The new location has a negative x-coordinate and a positive y-coordinate.
e. The new location has negative x- and y-coordinates.
ppppp-pp help please.
Answer:
There are two complex roots:
[tex]-3\pm i[/tex]============
Given equation:x² - 6x + 10 = 0The standard form is:
ax² + bx + c = 0Compared we can find values of the coefficients and the constant:
a = 1, b = - 6, c = 10Substitute these values into quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
and work out roots:
[tex]x=\dfrac{-(-6)\pm\sqrt{(-6)^2-4*1*10} }{2*1}=x=\dfrac{6\pm\sqrt{36-40} }{2}=\dfrac{6\pm2\sqrt{-1} }{2}=3 \pm i[/tex]
what is 8 square root of 6. answered as a square root ?
The value of 8√6 as a square root is √384
Surd expressionSurd are written as the square root of prime numbers. Given the expression below;
8√6
This is can be written as;
8√6 = √(8 * 8 * 6)
8√6 = √64 * 6
8√6 = √384
Therefore the value of 8√6 as a square root is √384
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Do you think any resulting prediction would be more or less reliable than your original one?
No, The resulting prediction would be more or less reliable than your original one.
Importance:
Prediction is a forecast or a prophecy. An example of a prediction is a psychic telling a couple they will have a child soon, before they know the woman is pregnant. A statement of what will happen in the future.
Predictions provide a reference point for the scientist. If predictions are confirmed, the scientist has supported the hypothesis. If the predictions are not supported, the hypothesis is falsified. Either way, the scientist has increased knowledge of the process being studied.
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HELP swiftly
Im not fully sure but does x measure 100?
x =x=x, equals
^\circ
∘
The value of X is 100 degree.
According to the statement
we have to find the value of x degree which represent the angle.
In this figure
we see that there are two angles which are vertically opposite angles and there is rule that the values of vertically opposite angles are always same.
So, due this reason Here the value of x is 100 degree
because in this figure the given angle which is 100 degree are vertical to the angle which we have to find and that angle which x, so, the value of x is same as the value of vertical angle.
so these angles are vertical angles. that's why x is 100 degree.
So, The value of X is 100 degree.
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How much work is performed lifting in order to lift a 50.0 kg block 7.00 meters? Use g=9.81 m/s^2
The work done in lifting the block is 3430 J
Calculating workFrom the question, we are to determine the work done in lifting the block
Using the formula,
Work done = mgh
Where m is the mass
g is the acceleration due to gravity
and h is the height
From the question,
m = 50.0 kg
g = 9.81 m/s²
h = 7.00 m
Putting the parameters into the formula,
Work done = 50.0 ×9.8 × 7.00
Work done = 3430 J
Hence, the work done in lifting the block is 3430 J
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why is there always more than one parallelogram with the same area and base
Answer:
If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.
There are infinitely many parallelograms with the same area and base due to the variability of the height.
We have,
There is always more than one parallelogram with the same area and base because the height of the parallelogram can vary while keeping the base and area constant.
The formula to calculate the area of a parallelogram is:
Area = base × height
If the base and area of a parallelogram are fixed, we can rearrange the formula to solve for the height:
height = Area/base
Since the height can be any value as long as it satisfies the above equation, there are infinitely many possible heights for a given base and area.
And for each height, there will be a unique parallelogram with that base and area.
Imagine a rectangle as a special case of a parallelogram where all angles are 90 degrees.
For a given base and area, you can have an infinite number of rectangles by varying the height.
Each rectangle will have different side lengths, but they will all have the same base and area.
Thus,
The variability of the height while keeping the base and area constant allows for the existence of multiple parallelograms with the same area and base.
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Area=
Help me please :(
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "area and graphs." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
What is the probability that any given car will have a brake failure if it is make a?
The probability that any given car will have a brake failure if it is make a is 0.0065%
How to determine the probability?The complete question is added as an attachment
From the table in the question, we have:
P(Brake failure|car a) = 0.0065%
The above represents the required conditional probability
Hence, the probability that any given car will have a brake failure if it is make a is 0.0065%
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Answer: The probability that any given car will have a brake failure if it is making A, is 0.0065%.
Step-by-step explanation:
I got it right on Edmentum!
5/8 + 1 1/4 = x/10
solve for x
Answer:
x = 75/4
Step-by-step explanation:
5/8 + 1 1/4 = x/10
5/8 + 5/4 = x/10
15/8 = x/10
8x = 15 × 10
8x/8 = 150/8
x = 150/8
x = 75/4
PLEASE HELP ME I am stuck for 20 minutes.
Hello,
[tex]( \frac{1}{3} ) {}^{3} = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1 {}^{3} }{3 {}^{3} } = \frac{1}{27} [/tex]
Hi! ⋇
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\sf\color{darkblue}{( \frac{1}{3}) ^{3} = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1} {27} }[/tex]
How many more times intense, to two decimal places, was the 2011 earthquake in Japan that measured 9.0 on the Richter scale than the 1905 earthquake in San Francisco that measured 8.1 on the Richter scale?
Using the properties of logarithms, it is found that the earthquake in Japan in 2011 was 12.92 times more severe.
How to find the ratios of the intensity of earthquakes?As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are [tex]R_1, R_2 > 0, R_1 > R_2[/tex], the ratio of the intensities is given by:
[tex]10^{\frac{R_1}{R_2}}[/tex]
The intensities for this problem are [tex]R_1 = 9, R_2 = 8.1[/tex], hence the ratio is:
[tex]10^{\frac{9}{8.1}} = 12.92[/tex]
The earthquake in Japan in 2011 was 12.92 times more severe.
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