Answer:
a.) Marginal Product (MP) = 120
b.) Average Product = 126
c.) At x = 12, the output is maximum.
d.) After 5 levels of inputs diminishing returns set in.
Step-by-step explanation:
Given that,
Q = 72x + 15x² - x³
a.)
Marginal Product is equal to
[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]
At x = 8
MP = 72 + 30(8) - 3(8)²
= 72 + 240 - 192
= 120
∴ we get
Marginal Product (MP) = 120
b.)
Average Product is equals to
= [tex]\frac{Q}{x}[/tex]
= 72 + 15x - x²
At x = 6
Average Product = 72 + 15(6) - 6²
= 72 + 90 - 36
= 126
∴ we get
Average Product = 126
c.)
For Maximizing Q,
Put [tex]\frac{dQ}{dx} = 0[/tex]
⇒72 + 30x - 3x² = 0
⇒24 + 10x - x² = 0
⇒x² - 10x - 24 = 0
⇒x² - 12x + 2x - 24 = 0
⇒x(x - 12) + 2(x - 12) = 0
⇒(x + 2)(x - 12) = 0
⇒x = -2, 12
As items can not be negative
∴ we get
At x = 12, the output is maximum.
d.)
Now,
For Diminishing Return
[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]
⇒30 - 6x < 0
⇒-6x < -30
⇒6x > 30
⇒x > 5
∴ we get
For x > 5, the diminishing returns set in
i.e.
After 5 levels of inputs diminishing returns set in.
At a football match, 25% of the spectators wore red T-shirts and 3750 spectators did not wear red T-shirts. How many spectators were there
Answer:
5000
Step-by-step explanation:
Given data
25% wore red-T shirt
75% did not wear red T-shirt= 3750
Let the total spectator be represented by 100%
Let the total be x
75/100*x= 3750
0.75x= 3750
x= 3750/0.75
x= 5000
Hence thte total number of spectators is 5000
Function is represented by the equation y=3x-2. and tunction Fis shown on the graph below. Which statement about both functions is true?
HURRY PLEASE
Answer:
I believe it would be both functions have a y-intercept of -2.
Step-by-step explanation:
Hope this answer is correct and helps you. :)
The true statement about the function is that both functions have a y-intercept of -2.
How to explain the functionIf both functions have a y-intercept of -2, it means that they pass through the point (0, -2). The y-intercept is the value of y when x is equal to 0.
Here are many functions that have a y-intercept of -2. Here are a few examples:
Linear function: y = 2x - 2
Quadratic function: y = x² - 2
Logarithmic function: y = log(x) - 2
In general, any function of the form y = mx + b, where m and b are constants, will have a y-intercept of b. So, as long as b = -2, the function will have a y-intercept of -2.
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I need some help with this question.
Answer:
166
Step-by-step explanation:
hope this helps I'm not 100% though
Answer:
166mm²
Step-by-step explanation:
Given:- prism
[tex]L=5mm[/tex]
[tex]B=4mm[/tex]
[tex]H=7mm[/tex]
Surface area of prism = (LB+BH+HL)
[tex]2(5*4+4*7+7*5)[/tex][tex]2(20+28+35)[/tex][tex]2(83)[/tex][tex]166mm^2[/tex]☆ꨄ︎──᪥──᪥──ꨄ︎☆
hope it helps...
have a great day!!
[tex] \sqrt{8 {}^{4} } [/tex]
Answer:
64 will be your answer!!
Step-by-step explanation:
hope it helps..
Thanks again!!
Help and thx helppppppppppppp
Answer:
area = 12x² + 88x + 96
perimeter = 16x + 40
Step-by-step explanation:
Rectangle.
Length = 2x + 12
Width = 6x + 8
area = length × width
area = (2x + 12)(6x + 8)
area = 12x² + 16x + 72x + 96
area = 12x² + 88x + 96
perimeter = 2(length + width)
perimeter = 2(2x + 12 + 6x + 8)
perimeter = 2(8x + 20)
perimeter = 16x + 40
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A circle is represented by the equation below
(x+2)^2 + (y - 4)^2= 225
Which statement is true?
The circle is centered at (-2,4) and has a radius of 15.
The circle is centered at (2,-4) and has a diameter of 15.
The circle is centered at (2,-4) and has a radius of 15.
The circle is centered at (-2,4) and has a diameter of 15.
The circle is centered at (−2, 4) and has a radius of 15.
i took the test
A circle represented by the equation (x+2)² + (y - 4)²= 225 is centred at (-2,4) and has a radius of 15.
The equation of a circle is represented as follows:
Equation of a circle;(x-h)² + (y-k)² = r²where
(h, k) = centre
r = radius
Therefore, (x+2)² + (y - 4)²= 225 has the following centre and radius.
(x+2)² + (y - 4)²= 15²Then
(h, k) = (-2, 4)
Therefore, the circle is centred at (-2,4) and has a radius of 15
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can someone help me 3 x 2⁴
Answer:
3 × 2^4
2^4 = 16
3 × 16
= 48
FINAL ANSWER IS : 48
Answer:
48
Step-by-step explanation:
[tex]3 \times {2}^{4} [/tex]
[tex]3 \times (2 \times 2 \times 2 \times 2)[/tex]
[tex]3 \times 16[/tex]
[tex]48[/tex]
Hope it is helpful.....Ayudaaaaa porfavor Convertir las unidades de medida 8 000 m = _______ km 4 000 g = _______ kg 3 000 m = ________ km 7 m = _________ cm 30 mm _________ cm 10 cm ________ mm 70 mm ___________ cm 10 L = ____________ ml 800 cm = _________ m 6 kg = __________ g
Answer:
a) [tex]x = 8\,km[/tex], b) [tex]x = 4\,kg[/tex], c) [tex]x = 3\,km[/tex], d) [tex]x = 700\,cm[/tex], e) [tex]x = 3\,cm[/tex], f) [tex]x = 100\,mm[/tex], g) [tex]x = 7\,mm[/tex], h) [tex]x = 10000\,mL[/tex], i) [tex]x = 8\,m[/tex], j) [tex]x = 6000\,g[/tex]
Step-by-step explanation:
a) 1 kilómetro equivale a 1000 metros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 8000\,m \times \frac{1\,km}{1000\,m}[/tex]
[tex]x = 8\,km[/tex]
b) 1 kilogramo equivale a 1000 gramos, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 4000\,g \times \frac{1\,kg}{1000\,g}[/tex]
[tex]x = 4\,kg[/tex]
c) 1 kilómetro equivale a 1000 metros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 3000\,m \times \frac{1\,km}{1000\,m}[/tex]
[tex]x = 3\,km[/tex]
d) 1 metro equivale a 100 centímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 7\,m \times \frac{100\,cm}{1\,m}[/tex]
[tex]x = 700\,cm[/tex]
e) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 30\,mm \times \frac{1\,cm}{10\,mm}[/tex]
[tex]x = 3\,cm[/tex]
f) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 10\,cm \times \frac{10\,mm}{1\,cm}[/tex]
[tex]x = 100\,mm[/tex]
g) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 70\,mm\times \frac{1\,cm}{10\,mm}[/tex]
[tex]x = 7\,mm[/tex]
h) 1 litro equivale a 1000 mililitros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 10\,L\times \frac{1000\,mL}{1\,L}[/tex]
[tex]x = 10000\,mL[/tex]
i) 1 metro equivale a 100 centímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 800\,cm \times \frac{1\,m}{100\,cm}[/tex]
[tex]x = 8\,m[/tex]
j) 1 kilogramo equivale a 1000 gramos, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 6\,kg\times \frac{1000\,g}{1\,kg}[/tex]
[tex]x = 6000\,g[/tex]
Which of the following are solutions to the equation below?
2 cos^2 x – 1= 0
Answer:
no clue
Step-by-step explanation:
Find the volume help me pls and thank
Answer:
Volume = 14.333
Step-by-step explanation:
Answer: 14.34 cm^3
Step-by-step explanation:
V = lwh
V = 3.2 cm x 2.8 cm x 1.6 cm
V = 14.34 cm^3
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Which situation involves a conditional probability? O A. The probability that you roll a 6 on a number cube B. The probability that you make two free throws in basketball C. The probability that you make a second free throw given that you made the first free throw O D. The probability that you are given a book for your birthday
Answer:
c
Step-by-step explanation:
its conditional because you might not make the first free throw.
The situation that involves a conditional probability is the probability that you make a second free throw given that you made the first free throw.
Thus, option (C) is correct.
Conditional probability refers to the probability of an event occurring given that another event has already occurred.
In this case, the probability of making a second free throw is dependent on the condition that you made the first free throw.
Therefore, the probability that you make a second free throw given that you made the first free throw.
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PLS HELP ME I NEED THIS DONE IN A FEW MINUTES
Answer:
(2,2)
Step-by-step explanation:
Midpoint formula, and plug in the numbers.
Hope this helps.
(x1+x2)/2,(y1+y2)/2
(1+3)/2,(3+1)/2
4/2,4/2
(2,2)
How do I solve this?
Answer:
5a-30
Step-by-step explanation:
multiply 5 since its outside by the numbers inside the parethesis
I think it would be (5 × a) + (5 × -6)
A 5-kilogram bag of cement costs $18.15. What is the unit price?
Answer:3.63
Step-by-step explanation:because if we divide 18.15 by 5 is equal 3.63.
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answer:
1/10th?
Pretty sure that's it.
Correct me if I'm wrong,
Let the vector v have an initial point at (3,−2) and a terminal point at (3,−7). Determine the components of vector v
Answer:
(0,-5)
Step-by-step explanation:
Terminal minus initial. (3-3, -7+2) = (0,-5)
Find the median of 85, 42, 64, 71, 39, 56, 26
Answer:
56
Step-by-step explanation:
1. first order the numbers from least to greatest (26, 39, 42, 56, 64, 71, 85)
2. Then count how many numbers you have and divide it by 2. We have 7 numbers, so we’ll divide by 2 and round up because 7 is an odd number. (7 divided by 2 =3.5, rounded up is 4.)
3. Now we know the position of the number is this 4th spot, so the median is 56.
The median of the given set of numbers is 56.
What is the median of data?
The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.
The given set of data as:
{85, 42, 64, 71, 39, 56, 26}
Let's arrange the given numbers in ascending order: 26, 39, 42, 56, 64, 71, 85.
Since we have 7 numbers, which is an odd count, the median is the middle number.
In this case, the middle number is the fourth number, which is 56.
Therefore, the median of the given set of numbers is 56.
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Classify this triangle by its sides.
Answer:
Equilateral
Step-by-step explanation:
All angles are the same, so the sides are the same as well
Classifications:
Scalene = no sides and angles are the same to others
Equilateral = All sides and angles are congruent
Isosceles = 2 sides and 2 angles are congruent.
If my answer is incorrect, pls correct me!
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-Chetan K
Answer: equilateral
Step-by-step explanation:
An equilateral triangle is a triangle where all the sides are the same length.
Another Quick question, True Or False: An acute and an obtuse angle are always supplementary
Explain please
Answer:
false
Step-by-step explanation:
Supplementary means that two angles added together must equal 180. An acute angle is one less than 90 degrees, and an obtuse one is greater than 90. They will not always add up to 180.
For example, 24 is an acute angle. 134 is an obtuse angle. But they do not add up to 180 degrees, thus not supplementary.
Answer: True
Step-by-step explanation: Hope that helped!
O
100%
In the school play, 75% of the students are 6th graders.
Which ratio represents the number of 6th graders to total number of students in the play?
O A 1:4
O B. 3:1
Oc 3:4
OD. 7:5
Answer:
I'm not smart but I think 7.5
I need help on this question pls help see this A.S.A.P
Answer:
A, E
Step-by-step explanation:
a quadrilateral is a four-sided figure.
it is a square
Mike needs to tile his bathroom . His bathroom is 8 feet by 7 feet How much tile does he need to cover the area of his bathroom ?
Answer:
56 Sq Ft
Step-by-step explanation:
8x7= 56
Help me please need help
Answer:
[-9. -8]
[2. 0]
Step-by-step explanation:
all you have to do is multiple each number with the corresponding number in the other column
Answer:
Step-by-step explanation:
-5 6
1 -4
convert 23° 12' to decimal form
Answer:
15813.64 rounded to nearest hundredth
Share a dream that you had recently and what share what it possibly means. 12 sentences minimum and no links<3
Answer:
Is this a personal question?
if so I guess I could share.
I used to have a reoccurring dream of me being in the armed forces when I was younger, making me think like I was always destined to be in the military, specifically the Army. I would discipline myself to reading about the army's training and the ranking system that goes into it. I had these dreams when I was 4-9.. im 16 now and I still know I want to join the military. However, joining the navy is looking better than the army for me.
I'd say the meaning behind these dreams were because I was destined to be serving my country in some way. Every man in my family has server in the military or in the police. Almost as if my future was calling me, and im reaching for it to this day.
Steven has 17 baseball caps. He has 2 blue caps and he has 3 more green caps than blue ones. The rest of his caps are black.
How many black caps does Steven have?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If Hank shoots from inside the three point line, what can be said about his distance from the center of the basket?
Answer:
Distance between centre of basket and point at which shot is taken will be less than 246 inches
Step-by-step explanation:
From the figure Given, the distance between the three line mark and the center of the basket is 246 inches. This means that, if a shot is taken from inside the 3 point line, then the distance from the point within the 3 point mark and the centre of the basket will be less than 246 inches. As the shooter moves towards the basket, past the 3 point arc and is positioned inside the line, then the distance between the line and the centre of the basket has been shortened and hence, the shooters horizontal Distance to the centre of the basket on the ground is less than 246 inches.
what is 25+44
i will be getting more points!
is anyone ready for summer if so tell me what you are going to do over summer break?
k so here is your oc his full name is Carlos AKA cal
Easy Points, brainliest to the best description-
Don't answer unless you know the answer and are sure.
Thanks in advance.
Helpmeeeeeeeeeeeeeeeeeeee
Answer:
first question: c. x = 1
6. B. y = -2x - 8
Step-by-step explanation:
first question:
perpendicular means that when it intersects, it makes a right angle.
the equation y = 5 would be parallel to any of the answers with y = ___ because all of those would result in horizontal lines
either of the x = ___ would be perpendicular to y = 5
since it has to pass through the point (1,3) that means that the equation must be x = 1
the equation x = 1 passes through any point beginning with (1 , _)
6.
parallel means that the equations have the same slope. therefore, we can eliminate both A and C
using the given point (-2 , -4),we can plug into the y = mx + b format to solve
m = -2 x = -2 y = -4
-4 = (-2)(-2) + b --> -4 = 4 + b --> b = -8
finally, our equation comes out to be y = -2x - 8