爷爷，圣诞节快到了，但是我不想要任何礼物，只有你活着，呼吸和健康。那是我的圣诞愿望
A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
Required:
a. What is the meaning of the derivative fâ'(x)? What are its units?
b. In practical terms, what does it mean to say that fâ'(2,000) = 10?
c. Which do you think is greater, fâ'(200) or fâ'(600)? What about fâ'(4,000)?
Correct is;
A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
(a) What is the meaning of the derivative f '(x)?
What are its units?
(b) In practical terms, what does it mean to say that f '(2000) = 10?
(c) Which do you think is greater,
f '(200) or f '(600)? What about f '(4000)?
Answer:
A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.
It's unit is $/yard
B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.
C) f' (200) > f'(600)
f'(4000) > f'(600)
Step-by-step explanation:
A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.
In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.
It's unit is $/yard
B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.
C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.
As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.
Thus;
f'(4000) > f'(600)
Which equation represents a lineThat passes through (-2, 4) and has a slope of 2/5
Answer:
-2,4
Step-by-step explanation:
In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for A. What is the percentage of people that voted for candidate AA?
This question is incomplete, the complete question is;
In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for AA. What is the percentage of people that voted for candidate AA?
Answer:
the percentage of people that voted for candidate AA is 32.3%
Step-by-step explanation:
Given that;
31 % of the people that voted for candidate A are women
P( women/Candidate AA) = 0.31
Moreover, 10% of the population are women and voted for AA
P( women & candidate AA) = 0.10
so
p( Candidate AA) = P( women & candidate AA) / P( women/Candidate AA)
p( Candidate AA) = 0.10 / 0.31
p( Candidate AA) = 0.323
p( Candidate AA) = 32.3%
Therefore the percentage of people that voted for candidate AA is 32.3%
Solve for x.
4x +4=12
Answer:
x = 2
Step-by-step explanation:
4x +4=12
-4. -4
4x.= 8
divide both saide by 4
x. = 2
Subtract 4 from both sides
4x + 4 - 4 = 12 -4
Simplify
4x = 8
Divide both sdes by 4
4x/4 = 8/4
Simplify
x = 2
What is the equation of the line in slope-intercept form?
Answer:
the slope is 3/5 so,
y=3/5x+3
Step-by-step explanation:
just solve for the slope and the coordinate point are gives you the b!
Help! Please!!! I seriously need this!!!!!
Answer:
it's related by product of 5/3 and directly proportional
A baseball is thrown in a parabolic arch
How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.
Answer:
There are 48 cups in 3 gallons!
Hope this helped! :)
A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 ydPut the integers in order from least to greatest. = - 3 =5 =2 = - 4
Answer:
-4, -3, 2, 5
Step-by-step explanation:
hope this helps.
Please help me if you know how to do this
Question 17
Answer: choice C) y = (x-2)^2 - 3--------------------
Explanation:
We know that a = 1 so it matches with the 'a' value in y = x^2. Otherwise, the shapes wouldn't match up and they wouldn't be congruent.
The vertex we want is (h,k) = (2,-3)
Therefore,
y = a(x-h)^2 + k
y = 1(x-2)^2 + (-3)
y = (x-2)^2 - 3
================================================
Question 18
Answer: choice B) min point; -4--------------------
Explanation:
The equation y = 3(x-1)^2 - 4 is in the form y = a(x-h)^2 + k which is known as vertex form.
a = 3 being positive tells us the graph opens upward and we have a min point. There is no max point as it goes on forever upward.
The min point is k = -4 which is the y coordinate of the vertex.
================================================
Question 19
Answer: Choice B) y = (1/2)x^2 + 3x - 5--------------------
Explanation:
The equation opens up, so the value of 'a' must be positive. This narrows our choices to A or B.
We eliminate choice A because that graph is more narrow compared to y = x^2. Choice B is wider and flatter compared to y = x^2 due to 1/2 being smaller than 1.
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 true
Answer:
-7.5
Step-by-step explanation:
Answer:
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 TRUE? Show your work.
Step-by-step explanation:
Let's pretend you are interested in learning what music teens prefer.
Choose a survey setup below that would most likely represent teens the
best. Add a post to the discussion board that identifies which option you
think is the best representation and why. Also, take a moment to read
the observations posted by your peers. Choose two different posts to
respond to and explain why you agree or disagree with your classmate.
Option 1: You stand outside of the grocery store and ask 100 people
what type of music they prefer.
Option 2: You randomly draw 100 names from a hat of students at your
school, and ask those students what type of music they prefer.
Option 3: You randomly select 2 neighborhoods in your town and ask 50
people in each neighborhood what type of music they prefer.
Answer:
option 2
Step-by-step explanation:
Solve for: 22≥4m-2 or 5-3m≤-13
Answer:
22≥4m-2=6
5-3m<-13=6
Step-by-step explanation:
The inequalities 22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
22 ≥ 4m - 2.
4m ≤ 22 + 2.
4m ≤ 24.
m ≤ 24/4.
m ≤ 6.
5 - 3m ≤ - 13.
- 3m ≤ - 13 - 5.
- 3m ≤ - 18.
3m ≥ 18.
m ≥ 18/3.
m ≥ 6.
So, m ≤ 6 or m ≥ 6.
learn more about inequalities here :
https://brainly.com/question/30228778
#SPJ2
Please check #9 and tell me if I’m right
Q: Find (x) so the (L) is parallel to (m) and state the converse used
Answer:
that's 53 °not 90 i thought
solve for x and why please using these!!!
Answer:
[tex]x = 40[/tex]
[tex]y = 5[/tex]
Step-by-step explanation:
[tex]4x = 2x+80\\2x = 80\\x = 40[/tex]
Edit: Solve for Y
A straight line is 180 degrees so one side (the x side) is 160°, The Y side is 20, and you can work backwards by -
[tex]8y - 20 = 20\\8y = 40\\y = 5[/tex]
where n 2 1
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What is the formula for finding distance?
Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation
Step-by-step explanation:
The line below has slope 4 and y-intercep
3. Write the equation of the line in slope
intercept form
5
Answer:
y=4x+3
y=-2x+3
Step-by-step explanation:
Which number completes the inequality -5.13 blank -4.8
-5.3 - 5.23 - 4.38 - 5.1
Answer:
The answer is 5.1.
(-5.13 5.1 -4.8)
Hope this helps! <3
Answer:
It is 5.1.
Step-by-step explanation:
I took the test. Have a great day :)
The price of stock A at 9 a.m. was $15.75. Since then, the price has been increase at rate of $.05 per hour. At noon , the price of stock B was $16.53. It begin to decrease at the rate of $.13 per hour. If the stock continue to increase and decrease at the same rate, in how many hours will the price of the stocks be the same?
Answer:
Step-by-step explanation:
15.75 plus .05x = 16.53-.13x
.78=.18x
4.3 hours is your answer
A recipe uses 2 eggs to make 24
cookies. How many cookies could
you make with 9 eggs?
Answer:
49-50 cookies
Step-by-step explanation:
Hope this was helpful, Have a Wonderful Day!!
The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44, how many possible combinations of student and teacher tickets could have been sold?
How can a percent be used to describe a change in quantity?
Answer:
remember,a percent means "per 100".You can describe the change as a fraction comparing the amount of change to the original and then use a proportion to rewrite your problem as a percentage out of 100.
pog help pog pog pog pog pog pog pog pog pog
Answer:
POG
Step-by-step explanation:
poggers + poggers = POGCHAMP
Answer:
only the green and pink line repent a proportional relationship
Is 900% of 6 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
E E E HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.
Answer:
( 5 , - 2 )
Step-by-step explanation:
( 10 × [tex]\frac{1}{2}[/tex] , - 4 × [tex]\frac{1}{2}[/tex] ) = (5, - 2)
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
13.25 x 64 please awnser it's for a test and I have no idea what it is.
Answer :
13.25 x 64
=848
Answer:
453x ^64 /4
Step-by-step explanation: