For C1(Q) = 3 - 2Q.
For C2(Q) = 4.
2. The AVC function
For C1(Q) = 5/Q + 3 + 20/Q - Q.
For C2(Q) = 3/Q + 4 + 2/Q.
3. The AFC function
For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)
For C2(Q) = 0.
4. To find the AC function
For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5.To find the ATC function
For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)
For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?
1. To find the MC function, we take the derivative of the cost functions with respect to Q.
For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.
For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.
2. To find the AVC function, we divide the cost functions by Q.
For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.
For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.
3. To find the AFC function, we subtract the AVC function from the ATC function.
For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)
= 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.
4. To find the AC function, we add the AVC function to the AFC function.
For
C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5. To find the ATC function, we divide the AC function by Q.
For
C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q
= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).
For
C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q
= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
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Twice the quantity of 8 more than a number
PLEASE HELP ME LIKE HURRRRRRY PLEASE ILL GIVE U A 100 BRAINLIEST
Answer:
x<16
Step-by-step explanation:
let x be the number
2x8>x
16>x
Can anyone answer this
Answer:
B. 1395 sq. units
Step-by-step explanation:
Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.
Answer:
B. 1395 sq. units
Step-by-step explanation:
A=2(1+\(\sqrt{2}\))a²
A=2(1+\(\sqrt{2}\))17²
A=2(1+\(\sqrt{2}\))289
A≈4.83×289
A≈1395.87
A≈1395 units²
The option that fits this is B. 1395 sq. units
100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9
Answer:
y = 2
x = 7
Explanation:
5x + 3y = 413x - 6y = 9Make the coefficient of "y" in equation 1 same
{ 5x + 3y = 41 } * 2 → 10x + 6y = 82 ........equation 1
→ 3x - 6y = 9 ........equation 2
solving them using linear combination
10x + 6y = 823x - 6y = 9============
13x = 91x = 7Find y:
5x + 3y = 415(7) + 3y = 413y = 41 - 353y = 6y = 2Find the answer please
1st set = 4 letters
2nd set = 4x 4 = 16 letters
3rd set = 16 x 4 = 64 letters
4th set = 64 x 4 = 256 letters
5th set = 256 x 4 = 1,024 letters
6th set =1024 x 4 = 4,096 letters
7th set = 4096 x 4 = 16,384 letters
8th set = 16,384 x 4 = 65,536 letters
Each letter cost 2
Total cost = 65,536 x 2 = 131,072
Show work please answer for 10 points
Step-by-step explanation:
6p² - 13p + 6
= 6p² - ( 9 + 4 )p + 6
= 6p² - 9p - 4p + 6
= 3p ( 2p - 3 ) - 2 ( 2p - 3 )
= ( 2p - 3 ) ( 3p - 2 )
Hope it helps :)
Step by step:
6p2 - 13p + 6
6p2 - 4p - 9p
Common factor from the two pairs
6p2 - 4p - 9p + 6
2p(3p-2) - 3 (3p - 2)
Then, rewrite in factored form
2p(3p - 2) - 3 (3p - 2)
(2p - 3) ( 3p - 2)
Solution
(2p - 3)(3p - 2)
Please help me, only 20 points if answered !!
\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ s=\pi \end{cases}\implies \pi =\cfrac{\theta \pi (4)}{180}\implies \cfrac{180}{4\pi }\cdot \pi =\theta\implies 45=\theta\)
two of ten individuals in the sample have a risk factor for disease x. what is the proportion of this risk factor in the sample.
The proportion of the risk factor for disease X in the sample is 2/10 or 0.2.
To calculate the proportion of a specific characteristic (in this case, the risk factor for disease X) in a sample, you need to divide the number of individuals with that characteristic by the total number of individuals in the sample. In this scenario, 2 out of 10 individuals have the risk factor for disease X.
Step-by-step calculation:
1. Number of individuals with risk factor = 2
2. Total number of individuals in the sample = 10
3. Proportion of risk factor = Number of individuals with risk factor / Total number of individuals
4. Proportion of risk factor = 2 / 10
5. Proportion of risk factor = 0.2
The proportion of the risk factor for disease X in the sample is 0.2, which means 20% of the individuals in the sample have this risk factor.
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A quarter and a penny are tossed. Then an 8-sided die is rolled. How many possible outcomes are there?
The total possible outcomes when a quarter, a penny, and an 8-sided die are rolled together is 32.
There are a total of 2 possibilities namely Head and Tail for a quarter and the same 2 possibilities for a penny so the number of possibilities, when both are tossed at once, is :
=>2x2=4
The possibilities are :
Head, Head.Tail, Tail.Head, Tail.Tail, Head.Now similarly the total number of possibilities when the 8-sided die is rolled is 8. Now when we toss the quarter and a penny at once and roll the die at the same time then the total number of possible outcomes are:
=>4x8=32.
Hence, the total possible outcomes when a quarter, a penny, and an 8-sided die are rolled together is 32.
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Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 20)°. What is the value of x? pls help asap
Answer:
x = 17.5°
Step-by-step explanation:
complementary means their sum is 90°.
x + 3x + 20° = 90°
4x = 70°
x = 17.5°
the tribe is the oldest sociopolitical type; the tribe predates the state
The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.
What does the statement mean?It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.
Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.
As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.
The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.
While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.
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in a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card? answer choices are in the form of a percentage, rounded to the nearest whole number.
The probability of drawing a face card followed by condition of drawing non face card is equal to 18% ( approximately).
In a standard deck of cards,
There are 12 face cards 4 jacks, 4 queens, and 4 kings
And 40 non-face cards 10 numbered cards each for the 4 suits.
The probability of drawing a face card on the first draw is
= 12/52
= 3/13.
Assuming a face card was drawn on the first draw,
There are now 51 cards remaining in the deck.
Of which 40 are non-face cards.
Probability of drawing a non-face card on the second draw is
= 40/51.
Probability of both events happening drawing a face card followed by a non-face card
= Multiply the probabilities of the individual events
= (3/13) x (40/51)
= 120/663
= 0.181approximately
= 18% (rounded to the nearest whole number).
Therefore, the probability of drawing a face card followed by drawing a non-face card in a standard deck of cards is approximately 18%.
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HELP ASAP PLEASE I NEED THIS QUICK
40 POINTS
Answer: 4/25
Step-by-step explanation:
(2/5)^2 or can write as 2/5 times 2/5
2/5 times 2/5 = 4/25
Answer:
0.08
Step-by-step explanation:
2/5 = 0.4 x 0.4
How many inernal vertices are in a full 3-ary tree with 161 leaves? a
There are 54 internal vertices in a full 3-ary tree with 161 leaves.
A full 3-ary tree is a tree where each node can have a maximum of three children.
The number of internal vertices in a full 3-ary tree with 161 leaves is 107. In a full 3-ary tree, every node, except the leaves, has exactly three children.
The leaves are the nodes that do not have any children.
We can determine the number of internal vertices in a full 3-ary tree using the following formula:
Internal vertices = (number of leaves - 1) / 3
This formula is derived from the fact that in a full 3-ary tree, every node, except the root, has exactly one parent and three children.
Since we know that a full 3-ary tree with 161 leaves has no more than one root,
we can apply this formula to determine the number of internal vertices. Internal vertices = (161 - 1) / 3 = 160 / 3 = 53.33
However, the number of internal vertices must be a whole number since we cannot have a fraction of a vertex.
Therefore, we round up the answer to the nearest whole number to get: Internal vertices = 54
Therefore, a full 3-ary tree with 161 leaves has 54 internal vertices.
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how many miles are traveled in 1 hour if 6400 feet are traveled in 1 minute
72. 43 miles is traveled in 1 hour
How to determine the valueFrom the information given, we have that;
6400 feet in 1 minute1 hour is in x milesFirst, we convert feet to miles
1 foot = 0. 000189 miles
Then 6400 = x miles
cross multiply
x = 6400 × 0. 000189
x = 1. 2096 miles
We have that;
1. 2096 miles is traveled in 0. 0167 hour
Then x miles is traveled in 1 hour
cross multiply
x = 1. 2096/ 0. 0167
x = 72. 43 miles
Thus, 72. 43 miles is traveled in 1 hour.
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a homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.
write an expression to find the area of the fenced region.
The required expression for the fenced region is lw = 650.
Given that,
A homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.
What is a rectangle?
The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Let the length of the area be l and the width of the area be w,
The total area she can fence in is 650 square feet.
lw = 650
Thus, the required expression for the fenced region is lw = 650.
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Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 8 Tala for $2.75. How many Tala would she get if she exchanged $50?
145.45 Tala
6.06 Tala
18.18 Tala
150 Tala
Find the value of z
6cm 15cm and right angle in triangle
For the given right triangle, the value of z is approximately 16.155 cm.
To find the value of z in a right triangle with sides 6 cm and 15 cm, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (z) is equal to the sum of the squares of the lengths of the other two sides (6 cm and 15 cm).
So we can write the equation:
z^2 = 6^2 + 15^2
Simplifying the equation:
z^2 = 36 + 225
Adding the numbers on the right side of the equation:
z^2 = 261
Taking the square root of both sides of the equation:
z = √261
Approximating the square root:
z ≈ 16.155
Therefore, the value of z is approximately 16.155 cm.
Note: The question is incomplete. The complete question probably is: Find the value of z (hypotenuse) if the other dimensions are 6cm, 15cm and right angle in triangle.
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Name the marked angle in 2 different ways.
N
M
L
K
Answer:
angle NML
angle LMN
I think so
Match the following transportation characteristics with the appropriate mode of transportation Which mode of transportation has the most capability? Which mode of transportation provides the most accessibility? Which mode of transportation is the most reliable? Which mode of transportation is the fastest over a long distance? Which mode of transportation has the lowest per-unit cost? Water Air Rail 3PL Cross-Docking Truck Intermodal Pipeline 4 points Match the following descriptions with the appropriate transportation intermediary. What transportation intermediary consolidates LTL shipments into FTL shipments (i.e., they take small shipments from multiple companies and consolidate them into larger shipments)? What transportation intermediary is a nonprofit cooperative which arranges for members' shipments? What transportation intermediary brings shippers and carriers together? What transportation intermediary purchases blocks of rail capacity and sells it to shippers?
Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.
To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.
The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.
The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.
Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.
The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.
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Solve then choose the correct answer.
m + 17 ≤ -(4m – 13)
Answer:
m ≤ −45
Step-by-step explanation:
inequality form is: m ≤ −45
interval notation is: (−∞,-4/5]
Which expression has a solution of 56 if r = 8?
8r
7r
6 r
9 r
Answer:
7r is the correct answer
Step-by-step explanation:
7 x 8 = 56
An adult African elephant weighs about 1 x 10^4 pounds. A baby African elephant weighs about 2 x 10^2 pounds. Use these numbers to complete the sentence below:
An adult African elephant weighs about ____ times as much as a baby African elephant
Write your answer in standard form
An adult African elephant weighs about 0.5 x 10² times as much as a baby African elephant.
i.e
2 x 10² x 0.5 x 10² = 1 x \(10^4\).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
An adult African elephant weighs = 1 x \(10^4\) pound.
A baby African elephant weighs = 2 x 10² pounds.
Now,
Dividing the weight of an adult elephant with the weight of the baby elephant.
= 1 x \(10^4\) ÷ 2 x 10²
= 1/2 x 10²
= 0.5 x 10²
Now,
We can say that,
An adult African elephant weighs about 0.5 x 10² times as much as a baby African elephant
Thus,
An adult African elephant weighs about 0.5 x 10² times as much as a baby African elephant.
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3. Marcelle can buy 3 pounds of potatoes for $2.19. How much will 5 pounds cost her?
Answer:
$3.65
Step-by-step explanation:
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
What is the image of (−5,9) after a reflection over the y-axis?
Answer:
(5, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
(- 5, 9 ) → (5, 9 )
\(4x {}^{2} = x {}^{2} + 4\)
Answer:
x = 1.155
x = -1.155
Step-by-step explanation:
4x² = x² + 4
i) move variable to the left-hand side and change its sign4x² - x² = 4
ii) collect like terms3x² = 4
iii) divide both sides of the equation by 3\( \frac{ {3x}^{2} }{3} = \frac{4}{3} \)
\( {x}^{2} = \frac{4}{3} \)
iv) take the square root to the opposite side of the equation and remember to use positive and negative roots\(x = + - \sqrt{ \frac{4}{ 3} } \)
v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign\(x = \sqrt{ \frac{4}{3} } \: or \: 1.155\)
\(x = - \sqrt{ \frac{4}{3} } \: or - 1.155\)
Kevin works two part-time jobs and wants to earn a total of at least $504 per week. He earns an
average of $12 per hour delivering food and $14 per hour working retail
A.) Write the inequality representing the scenario
B.) Graph the inequality
Kevin earning at least $504 implies that he wants to earn $504 or more
The inequality representing the scenario is \(12x + 14y \ge 504\)
How to interpret the scenario?The given parameters are:
Earnings = At least $504
Food delivering = $12 per hour
Retail = $14 per hour
Represent the number of hours delivering food with x, and the retail work with y.
So, the earning is:
Earning = 12x + 14y
The earning is at least $504.
So, we have:
\(12x + 14y \ge 504\)
See attachment for the graph of the inequality
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axel has figured out that his maximum heart rate (mhr) is 205. what is the range of his training zone?
The range of Axel's training zone, assuming a moderate exercise intensity, would be approximately 123 to 164 beats per minute (BPM).
To calculate this range, we use the Karvonen formula, which takes into account Axel's resting heart rate (RHR) and desired training intensity. Assuming a moderate-intensity workout, we can use a target heart rate range of 60% to 80% of his MHR.
Target Heart Rate = ((MHR - RHR) x %Intensity) + RHR
Assuming a resting heart rate of 65 BPM and moderate intensity of 60% to 80% of his MHR, Axel's target heart rate range would be approximately 123 to 164 BPM.
Therefore, the range of Axel's training zone would be approximately 123 to 164 BPM.
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Jeremy can buy two tacos at 75 cents each and a medium drink for $1.00—or a "value meal" with three tacos and a medium drink for $3. For him, the marginal cost of the third taco would be?
A. 0
B. $0.75
C. $1.00
D. $0.50
Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.
Buying two tacos individually:
Cost of two tacos: 2 tacos * $0.75/taco = $1.50Buying the value meal with three tacos:
Cost of the value meal: $3.00To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:
Marginal cost = Cost of buying two tacos individually - Cost of the value mealMarginal cost = $1.50 - $3.00Marginal cost = -$1.50
The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).