Answer:
Bob
Step-by-step explanation:
Answer:
..............................
what is 6 dived by 20?
Answer:
0.3
Step-by-step explanation:
Answer:
6 divided by 20 is 0.3
(your welcome)
Tutorial 6 (Production, Costs and Perfect Competition) – 40 Marks
Question 1 (14 Marks)
1. Suppose you can produce water flasks according to the production process Q = K^2 + 4K + 12 -
6L + KL, and that when producing these flasks, you have a cost constraint expressed as 2L+
2L = 32
1.1. Calculate the marginal product of labour for this production process.
(2)
1.2. Calculate the marginal product of capital for this production process.
[2]
1.3. Using your answers for 1.2 and 1.3, calculate the optimum quantities of capital and labour
when producing the water flasks because the marginal product per rand spent on each input
needs to be equal when producing optimally.
1.4. Using the Lagrange multipliers method, calculate how many water flasks you can produce
whilst satisfying your cost constraint.
[6]
[4]
The marginal product of labour is -6+K a and the marginal product of capital is 2K + 4 + L.
How to calculate the marginal product?From the information given, the production process is Q = K² + 4K + 12 - 6L + KL.
The marginal product of labour will be the first derivative which will be:
= -6 + K.
The marginal product of capital will be the first derivative which will be:
= 2K + 4 + L
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Which of the following numbers is the smallest?
1/3
3/10
2/5
3/8
Answer:
3/10
Step-by-step explanation:
Taking the decimal values (upto the thousandths place)
1/3 = 0.333/10 = 0.32/5 = 0.43/8 = 0.375Clearly,
0.3 < 0.33 < 0.375 < 0.40.3 is the smallest3/10 is the smallest3/10 is the smallest number among the given options.
Given that are numbers we need to check which is the smallest from this,
To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.
The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).
Now, let's convert each fraction to have a denominator of 120:
1/3 = 40/120
3/10 = 36/120
2/5 = 48/120
3/8 = 45/120
Comparing the numerators, we can see that 36/120 (3/10) is the smallest.
Therefore, 3/10 is the smallest number among the given options.
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Find the value of y.
Answer:
this is your answer hope u like it
A father is four times as old as his son. In two years the will have been five times as old as his son was two years ago. How old is the father?
Answer:
Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.
Suppose that 22% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Round to 2 places.
Jefferson's Popcorn & Roasted Nuts Shop sells cone-shaped bags of roasted cashews, shown below. What is the volume of the bag of nuts?
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
How to determine the volume of the bag?From the figure, we have the following parameters:
Radius, r = 3 inHeight, h = 9 inThe volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
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What is 8,838 rounded to the nearest ten
Answer:
8840
Step-by-step explanation:
Answer:
8,840
Step-by-step explanation:
From the given figure, find the value of x:-
Please can someone answer it I need it...
I'll mark as BRAINLIEST...
Answer:
90°
Step-by-step explanation:
Angle subtended by diameter from circumference is a right angle(Circle Theorem)
The length of a rectangle is 4 times its width.
The perimeter is 36.
Find the length and width of the rectangle.
Answer:
Length=14.4
Width=3.6
Step-by-step explanation:
l=4w
2l+2w=36
2(4w)+2w=36
8w+2w=36
10w=36
w=3.6
l=4w
4(3.6)
l=14.4
*check by plugging in answers into 2l+2w=36*
Answer:
[tex]L=\frac{72}{5}[/tex] or 14.4
[tex]W=\frac{18}{5}[/tex] or 3.6
Step-by-step explanation:
Please take note this probably not the easiest way to do the problem.
Formula for the Perimeter of Rectangle
[tex]P=2L+2W[/tex]
We are given the perimter.
[tex]36=2L+2W[/tex]
[tex]L=4*W[/tex]
To solve I would use the Gauss-Jordan method. (it is advanced, but it makes sense to me)
[tex]36=2L+2W[/tex]
[tex]L=4*W[/tex]
Write the coefficients of each eqaution as rows in the matrix.
[tex]\left[\begin{array}{ccc}2&2&36\\1&-4&0\\\end{array}\right][/tex]
Divide the first row by 2.
[tex]\left[\begin{array}{ccc}1&1&18\\1&-4&0\\\end{array}\right][/tex]
Multiply row 1 by -1 and add it to row 2.
[tex]\left[\begin{array}{ccc}1&1&18\\0&-5&-18\\\end{array}\right][/tex]
Divide the second row by -5.
[tex]\left[\begin{array}{ccc}1&1&18\\0&1&\frac{18}{5} \\\end{array}\right][/tex]
Multiply row 2 by -1 and add it to row 1.
[tex]\left[\begin{array}{ccc}1&0&\frac{72}{5} \\0&1&\frac{18}{5} \\\end{array}\right][/tex]
We now have an augmented matrix.
[tex]L=\frac{72}{5}[/tex]
[tex]W=\frac{18}{5}[/tex]
if the tempture is 39.2 degrees F what would the tempture be in celsius
Answer:
4 degrees celsius
Step-by-step explanation:
GIVING BRAINLIEST + STARS
I know A to B is 20m/s but what is C to D?
Answer:
See below ↓↓
Step-by-step explanation:
A to B
Avg. speed = Distance covered / Time takenAvg. speed = 200 m / 10 sAvg. speed = 20 m/sC to D
Avg. speed = Distance covered / Time takenAvg. speed = (500 - 200) m / (60 - 30) sAvg. speed = 300 m / 30 sAvg. speed = 10 m/sGiven r(x) = 20x - 89, what is the value of r(1/2)
Answer:
put x=1/2, you will get, r(1/2)=20*1/2-89
=10-89= -70.
hope it will help.
A.
B.
5x
x
=20
=4
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
Divide both sides by 5.
Step-by-step explanation:
Divide both sides by same non-zero constant.
Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's house. She sees the plane at a 45o angle of elevation. What is the elevation of the plane?
The elevation of the plane is 3600 ft
Let
h = elevation of plane, d = distance from Marsha's house to spot on ground below plane = 3600 feet and Ф = angle of elevation of plane = 45°From the triangle, we have the trigonometric ratio
tanФ = h/D
Elevation of the planeMaking h subject of the formula, we have
h = DtanФ
substituting the values of the variables into the equation, we have
h = DtanФ
h = 3600 ft × tan45°
h = 3600 ft × 1
h = 3600 ft
So, the elevation of the plane is 3600 ft
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pls help me i really need help
Answer:
hey pls help me I urgently need help
Given the tunction
f(x)= - x^2 + 4x - 3 ,find the rate of chango over the interval [-2,7] (you can take the negative leading coefficlent off for reg ed if you want) *
Answer:
-1
Step-by-step explanation:
Given function: [tex]f(x)=-x^2+4x-3[/tex]
[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]
[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]
[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]
Therefore, average rate of change over the interval -2 ≤ x ≤ 7
[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]
0.07 x what equals 441 ???
Step-by-step explanation:
[tex]0.07 \times x = 441[/tex]
[tex]x = \frac{441}{0.07} [/tex]
[tex]x = 6300[/tex]
Joel has a goal to practice his clarinet for 4 1/2 hours per week. The list below shows the number of hours Joel has practiced so far this week.
Monday: 1 1\2 hours
Wednesday: 1 1\4 hours
Thursday: 1 hour
How many more hours does Joel need to practice this week to meet his goal?
Answer: 3/4 hour
Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.
help is for today ( this is sets) pls
Of a group of 60 people, 26 speak French and 12 only French; 30 speak English and 8 only English; 28 speak German and 10 only German. It is also known that 1 speaks all 3 languages mentioned. How many speak English and German but not French?
Answer:
57
Step-by-step explanation:
There are 30 English
There are 28 German
There is one that speaks all 3
30 + 28 - 1 = 57
is it possible to write vector (-5,6) as a linear combination of vectors (1,2) and (3,4)
Answer:
Step-by-step explanation:
-5i+6j=x(1i+2j)+y(3i+4j)
-5=x+3y(multiply by 2)
6=2x+4y
-10=2x+6y
subtract
16=-2y
y=-8
-5=x+3(-8)
x=-5+24=19
-5i+6j=19(i+2j)-8(3i+4j)
so we can write (-5,6) as a linear combination of (1,2) and (3,4)
What is the area under the normal curve between the z-scores of −1 and 0?
Enter your answer as a decimal, rounded to the nearest hundredth, like this: 0.42
Answer:
0.34
Step-by-step explanation:
You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.
area = 68%/2 = 34% = 0.34
__
Your calculator can tell you the same thing.
One group (A) contains 765 people. Three-fifths of the people in group A will be selected to win $50 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 716 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
Answer:
There are 1.07 non winners in group A for every 1 non winner in group B
Or: 1.07:1
Or: 7% more non winners in group A
Step-by-step explanation:
Group A:
765*3/5 = 459 non winners
Group B:
716*3/5 = 429 non winners
Final Calculation:
459/429 = 1.07
Hey culture starting with 5000 bacteria after four hours ago to 5500 bacteria predict how many bacteria will be present after 13 hours. Round to the nearest whole number
it will be 3375 bacteria my ducky
complete the ordered pair so that it is a solution of 2/3x + y -1 = 0
Answer:
Step-by-step explanation:
No solution; 3x+y-1 =/ 0
A circle has its center at (2,-4). The radius of the circle extends to the
point (2,5). What is the approximate circumference of the circle?
⚫️114 units
⚫️14 units
⚫️28 units
⚫️57 units
Check the picture below, so the circle looks more or less like so, with a radius of 9.
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies C=2\pi (9)\implies C\approx 57[/tex]
calculate the exact value of cos (a+b) given that cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π
The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]
The exact value of cos (a+b) has to be find out. It is given that,
[tex]\cos a= \dfrac{3}{5}[/tex]
The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,
[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]
Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,
[tex]\sin b = -\dfrac{8}{17}[/tex]
The value of b is lies between 3π / 2 <b < 2 π. The value of the other side of the triangle using the Pythagoras theorem,
[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]
Thus, the value of cos b is, 15/17. Put the values in above formula,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]
Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
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How can you use
probability to draw conclusions about the
likelihood that something will occur?
(Probability)
The closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.
ProbabilityThis is the likelihood that an event will occur.
Probability of an event occuring is calculated thus P(event) = event space/sample space.The event space is the set of desired outcomes in which the event can occur while the sample space is the set of all possible outcomes.Now, the probability P(x) of an event x is in the range 0 ≤ P(x) ≤ 1 where P(x) = 0 implies that the event cannot occur and P(x) = 1 implies that the event will definitely occur.To draw conclusions about the likelihood that something will occurFor an event will occur, it value must be close to 1. For example, a probability P(x) = 0.38 is less likely to occur than a probability P(x) = 0.78.So, the closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.
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i will give brainliest
PLEASE HELP!
Answer:
3/4
Step-by-step explanation:
It says Event Q is more likelier to occur than Event T⇒ P(T) = 1/2
⇒ P(Q) > P(T)
⇒ P(Q) > 2
A possible probability is :
P(Q) = 3/4How many minutes are in 3 hours?
There are 60 minutes in one hour.
Complete the table.
Answer:
180
Step-by-step explanation:
because there are 60 minutes in an hour and you need 3 you need to add 60 + 60 + 60 or your can do 60 x 3 which equals 180
Answer:
180 minutes
Step-by-step explanation:
1 hour - 60 minutes
2 hours - 120 minutes
3 hours - 180 minutes
Because there is 60 minutes in an hour, you can do 60 x 3 = 180. This will directly tell us how many minutes are in 3 hours. Or, you can add 60 minutes 3 times for 3 hours.
So, 60 x 3 = 180. There are 180 minutes in 3 hours.
