Suppose that c (x )equals 5 x cubed minus 40 x squared plus 21 comma 000 x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.
Answers
Answer
X= 64.8 gives the minimum average cost
Explanation:
The question can be interpreted as
C(x)= 5x^3 -40^2 + 21000x
To find the minimum total cost, we will need to find the minimum of
this function, then Analyze the derivatives.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Related Questions
2. Solve the following.
a. 18:2/3
Answers
Answer:
Step-by-step explanation:
18 : 2/3
can also be written as 18 / 2/3 = 18 × 3/2
= 27
Hope it helps
plz mark as brainliest!!!!!
A local arena is negotiating a contract with a tourist ice skating show, icey blades. Icey blades charge a flat fee for $60000 per night plus 40 percent of the gate receipts. The civic arena plans to charge one price of all seats $1.250 per ticket. A) Determine the number of tickets which must be sold each night in order to break even? B) what would nightly profit equal if average attendance in 7500 per night?
Answers
Answer:
To break even the local arena must sell approximately 70,589 tickets. They would have a loss of $47625.
Step-by-step explanation:
The cost per night of the Icey blades contract can be expressed as a function of the gate receipts, with the flat cost added by 40% of all the gate receipts sold. This expression is shown below:
[tex]cost(x) = 60000 +0.4*x[/tex]
Since each ticket costs $1.25, then the revenue of the arena can be shown as:
[tex]revenue(x) = 1.25*x[/tex]
In order to break even the revenue must be equal to the cost, so:
[tex]revenue(x) = cost(x)\\1.25*x = 60000 + 0.4*x\\1.25*x - 0.4*x = 60000\\0.85*x = 60000\\x = \frac{60000}{0.85} = 70,588.24[/tex]
To break even the local arena must sell approximately 70,589 tickets.
If the average attendance was 7500 per night, the profit would be:
[tex]profit = revenue(7500) - cost(7500)\\profit = 1.25*7500 - 60000 + 0.4*7500\\profit = 9375 - 60000 + 3000\\profit = -47625[/tex]
They would have a loss of $47625
Lancelot Manufacturing is a small textile manufacturer using machineminus−hours as the single indirect − cost rate to allocate manufacturing overhead costs to the various jobs contracted during the year. The following estimates are provided for the coming year for the company and for the Case High School band jacket job.
Company Cae High School Job
Direct materials $40,000 $2,000
Direct labor $10,000 $400
Manufacturing overhead costs $45,000
Machine-hours 100,000 mh 900 mh
What is the bid price for the Case High School job if the company uses a 40% markup of total manufacturing costs?
A. $1,122.
B. $3,927.
C. $960.
D. $3,360.
Answers
Answer:
The correct answer is B.
Step-by-step explanation:
Giving the following information:
Job:
Direct materials= $2,000
Direct labor= $400
Machine-hours= 900 mh
Company:
Manufacturing overhead costs $45,000
Machine-hours 100,000 mh
Selling price= 40% markup of total manufacturing costs
First, we need to calculate the predetermined overhead rate to allocate overhead:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 45,000/100,000
Predetermined manufacturing overhead rate= $0.45 per machine hour
Now, we can calculate the total cost and the selling price:
Total cost= 2,000 + 400 + 0.45*900= $2,805
Selling price= 2,805*1.4= $3,927
Which of the following shows the union of the sets? {1, 5, 10, 15} {1, 3, 5, 7}
Answers
Answer:
{ 1,3,5,7,10,15}
Step-by-step explanation:
The union means join together, or all the elements of both sets
{1, 5, 10, 15} U {1, 3, 5, 7}
= { 1,3,5,7,10,15}
Answer:
Step-by-step explanation:
Union of two sets contains the elements that belongs to A set or B set or both
A= {1,5,10, 15}
B ={1,3,5,7}
A U B = {1,3,5,7,10,15}
factor the polynomial expression 16y^4-256x^12
Answers
Answer:
see explanation
Step-by-step explanation:
Given
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex] ← factor out 16 from each term
= 16([tex]y^{4}[/tex] - 16[tex]x^{12}[/tex] ) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b), thus
[tex]y^{4}[/tex] - 16[tex]x^{12}[/tex]
= (y² )² - (4[tex]x^{6}[/tex] )²
= (y² - 4[tex]x^{6}[/tex] )(y² + 4[tex]x^{6}[/tex] )
Now y² - 4[tex]x^{6}[/tex] ← is also a difference of squares
= y² - (2x³)²
= (y - 2x³)(y + 2x³)
Thus
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex]
= 16(y - 2x³)(y + 2x³)(y² + 4[tex]x^{6}[/tex] )
Answer:
Step-by-step explanation:
4y^2+16x^6, 2y, 4x^3, 2y, 4x^3
1. Bailey withdrew $135 from her checking account. Write an algebraic expression that describes Bailey's action.
Answers
Answer:
c − 135
Explanation:
Let's say that the amount of money in Bailey's checking account is
c dollars.
We also know that she took away $ 135
From this variable and number, we can state the algebraic expression
c − 135
Hope this helps!
What expression has the same meaning as 3 5/4?
Answers
Answer:
C)
Step-by-step explanation:
The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.
:)
I NEED HELP PLEASE, THANKS! :)
Answers
Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.
[tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]
The total cost of producing units 144 through 625 is 2444.
_____
If all you need is a number, a graphing calculator can give you that.
ok first person to answer my question will get marked as the brainliest answer and i will give you a thanks and a like. Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?
Answers
Answer:
76%
Step-by-step explanation:
First, we need to see how many total squares (parts) there are. There are 50.
Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.
Our fraction is 38/50, which is 76%.
Hope this helped!
Answer: 76 percent
Step-by-step explanation:
We have two squares divided into exactly 25 indentical parts
In the first one 25 squares are shaded wich means 25/25
The second one we only 13 shaded square wich means 13/25
So in total we have 50 squares with 38 shaded ones
Wich means 38/50
38/50= 0.76
Multiply bu 100 to get the percentage wich 76 percent
(1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27) The line is in the form y=mx+b. What is the value of m?
Answers
Answer: The value of m = 10.
Step-by-step explanation:
Given points, (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)
Each point is represented in the form (x,y).
The line is in the form[tex]y=mx+b[/tex], where m is the rate of change of y with respect to x.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Take [tex]x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85[/tex]
Then,
[tex]m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10[/tex]
Hence, the value of m = 10.
Answer:
9.15
Step-by-step explanation:
I just took the test Hope this helped :D
A labourer is paid Rs per hr for an
8- hr day and1/2 times the rate for
each hour in excess of 8 hrs in a
sigle day the received
Rs.80 for a single days work, how
long did he work on that day?
Answers
Complete question is;
A labourer is paid rs. 8 per hour for an 8 hour day and ½ times that rate for each hour in excess of 8 hours in a single day. if the labourer received rs. 80 for a single day's work, how long did he work on that day?
Answer:
Total working time for the day = 12 hours
Step-by-step explanation:
Money paid to the labourer for initial 8 hrs of work = 8 × 8 = rs. 64.
Now, we are told that he receives rs. 80 in total for that day. And that he receives ½ times the initial rate for each extra hour after the initial 8 hour period.
Thus;
½ × 8 × y = (80 - 64)
Where y is the duration of extra hours.
So;
4y = 16
y = 16/4 hours
y = 4 hours
Now, since extra hours = 4 hours and normal working hours = 8 hours.
Then, total working time for that day = 8 + 4 = 12 hours
Find the inverse of the following function: f(x) = 8√x for x ≥ 0
Answers
Answer:
Step-by-step explanation:
Rewrite the function f(x) = 8√x as y = 8√x.
To find the inverse function, do the following:
1) Interchange x and y. We get x = 8√y
x x^2
2) Solve this result for y: (x/8) = √y => y = ( -------- )^2, or y = ---------
8 64
Apples were selling for $.26 a pound Jessica spent $3.77 on apples how many pounds of apples did Jessica buy
Answers
Answer:
14.5 pounds of apples.
Step-by-step explanation:
$3.77 ÷ $.26 = 14.5
Apples = 14.5 pounds
Hope this helps! :)
How can you justify that the diagonals of a rhombus bisect opposite interior angles? A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected. B. Show that the interior angles of each triangle created by the diagonals must add to 180°. C. Show that the exterior angles of the rhombus must sum to 360°. D. Show that the vertical angles created by the diagonals are congruent. Then, show that the opposite interior angles are supplementary to these angles.
Answers
Answer:
A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.
Step-by-step explanation:
Answer choice A is the only one that applies specifically to a rhombus.
The other answer choices are true of triangles and vertical angles in general. They do not relate specifically to the problem at hand.
Pls help me I really need help
Answers
Answer:
26 - 7(n-1)
Step-by-step explanation:
subtract n times 7 from the start value.
But if we want to call the first term n=1, we have to subtract 1 from n.
Subtract and times 7 from the start value
But if we want to call the first term n=1 we have to subtract 1 from n
What is the volume of the prism below?
8
A. 280 units3
B. 234 units3
C. 140 units 3
D. 560 units3
Answers
Answer:
140 units3
Step-by-step explanation:
The volume of the prism below is 420 cubic units.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
B=1/2×12×5
=30
Now volume of prism = 30×14
=420 cubic units
Hence, the volume of the prism below is 420 cubic units.
To learn more on Three dimensional figure click:
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How long will it take $4000 to grow into $5089.12 if it’s invested at 3.5% compounded annually?
Answers
Answer: 7 years
Step-by-step explanation:
From the formula A = P(1+(r/100))^t we have
5089.12 = 4000 (1+(3.5/100))^t
=> 1.27228 = (1.035)^t
Using calculator we find that 1.035^7 gives 1.272279
Hence in 7 years $4000 will grow to $5089.12 if it’s invested at 3.5%
In triangle ABC, the length of side AB is 18 inches and the length of side BC is 26 inches. Which of the following could be the length of side AC? A. 46 inches B. 49 inches C. 6 inches D. 32 inches
Answers
Answer:
D
Step-by-step explanation:
The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.
A: Since 18 + 26 > 46 is a false statement, A is not the answer.
B: Since 18 + 26 > 49 is false, B is not the answer.
C: Since 18 + 6 > 26 is false, C is not the answer.
D: Since 18 + 26 > 32 is false, D is the answer.
Answer:
since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do
Step-by-step explanation:
9q + –23 = –77 q = _______
Answers
Answer:
q = -6
Step-by-step explanation:
given:
9q + (–23) = –77 (add 23 to both sides)
9q = -77 + 23
9q = -54 (divide both sides by 9)
q = (-54)/9
q = -6
If $\sqrt{5+n}=7$, then what is the value of $n$?
Answers
Answer:
44
Step-by-step explanation:
We can solve the equation by simplifying it.
[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.
[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.
[tex]n = 44[/tex].
Hope this helped!
Answer:
44
Step-by-step explanation:
[tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]
what is 4 to the square root of 2
Answers
Answer:
7.10299
Step-by-step explanation:
[tex]4^{\sqrt{2} }[/tex] is best evaluated in a calc.
An exponential function has:
A. a straight line that can be increasing or decreasing.
B.a curved line that can be increasing or decreasing.
C. U-shaped curved lines that increase then decrease or decrease then increase.
D. None of these choices are correct.
Answers
Answer:
Answer B is the correct one: a curved line that can be increasing or decreasing.
Step-by-step explanation:
Exponential functions are one-to-one functions, which means that cannot have a U shape. Also, they are not a straight line, since they grow of decrease exponentially (based on a fixed numerical base with the variable as the exponent) They can represent exponential growth showing a curve with increasing values as we move from left to right, or can represent exponential decay showing a curve with decreasing values as we move from left to right.
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right? f(x) = –|x| + 1 f(x) = –|x – 1| f(x) = |–x| + 1 f(x) = |–x – 1|
Answers
Answer:
Hello There. ♡ The correct answer is: f(x) = -|x-1|
The parent function is f(x) = |x|
Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become:
f(x) = -|x|
-f(x)' = |x|
f(x)' = -|x|
After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become:
f(x) = -|x|
f(x) = -|(x'-1)|
f(x) = -|x'-1|
Hope It Helps! :)
ItsNobody~ ♡
Answer:
its b on edge 2020
Step-by-step explanation:
Tagall
er travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
Answers
Answer:
304 miles
Step-by-step explanation:
Distance = rate times time
changing 4 hours 45 minutes to decimal form
4 45/60 = 4.75
D = 64 mph * 4.75
=304 miles
which of the following is the correct factorization of the trinomial below?
-7x^2 + 5x + 12
a. 7(x+1) (-x + 12)
b. -1 (7x - 12) (x+1)
c. (-7x + 12) (x - 1)
d. -7 (x - 6) (x+1)
Answers
Answer:
The answer is option B.
Hope this helps you
Answer:
The answer is B
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The product of 6 and a number.
The product of 6 and a number.
Answers
help help help pls pls
Answers
Answer:
C. 2y = -12
Step-by-step explanation:
Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12
Answer:
Step-by-step explanation:hi
Find the cardinal number for the given set
A = {6, 11, 16,...,76)
The cardinal number is
Answers
Answer:
15
Step-by-step explanation:
A={6,11,16,...,76}
a=6,d=11-6=5
[tex]a_{n}=a_{1}+(n-1)d\\76=6+(n-1)5\\76-6=(n-1)5\\n-1=70/5=14\\n=14+1=15[/tex]
so the cardinal number is 15
What is the value of x the triangle? PLS HELP
Answers
-- This is a right triangle. So you KNOW that
(one leg)² + (other leg)² = (hypotenuse)²
-- Also, since the acute angles are equal, the legs must be equal ... both x .
-- Plugging into the formula:
x² + x² = (4)²
2x² = (4)²
2x² = 16
x² = 8
√x² = √8
x = √8
x = √(4 · 2)
x = √4 · √2
x = 2 · √2
(That's choice D)
PLEASE ANSWER U NEED HELP!! determine which numbers The equations need to be multiplied by to form opposite terms of the y variable. 3x - 1/4y equals 15 2/3x - 1/6y equals 6 which number should be the first equation be multiplied by? which number should the second equation be multiplied by?
Answers
Answer:
4 -6
Step-by-step explanation:
have a great day!
Multiply the first equation by 2/3 and the second equation by -1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
3x - (1/4)y = 15
(2/3)x - (1/6)y = 6
Multiply the equation 1 by 2/3, then we have
(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15
x - (1/6)y = 10
Multiply the equation 2 by -1, then we have
(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6
- (2/3) x + (1/6)y = - 6
Multiply the first equation by 2/3 and the second equation by -1.
More about the solution of the equation link is given below.
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