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
A composite figure is shown.
10 ft
A
6 ft
10 ft
12 ft B
C
12 ft
4 ft
4 ft
Determine whether each statement about the composite figure is correct. True or false
Answers
the answer is 6the answer is 600 words
g + cx = yx, for x . . . . . . . . . . . .
Answers
Answer:
x = - \(\frac{g}{c-y}\)
Step-by-step explanation:
Given
g + cx = yx ( subtract yx from both sides )
g + cx - yx = 0 ( subtract g from both sides )
cx - yx = - g ( factor out x from each term on the left side )
x(c - y) = - g ( divide both sides by c - y )
x = - \(\frac{g}{c-y}\)
Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
32 quarts
52 quarts
O 36 quarts
12 quarts
Answers
Answer:
A.) 32 quarts
Step-by-step explanation:
If there are 4 quarts in a gallon, and Sally has 8 gallons of punch total, 4*8=32 quarts.
Answer:
32 quarts
Step-by-step explanation:
1 gallon = 4 quarts
5+1+2=8
8 × 4 = 32
Rhombus CDEF is shown below. If the slope
of FC is 5/2, what must be the slope of CD in order for CDEF to be a square?
Answers
Answer:
15
Step-by-step explanation:
trust
The slope of side CD in rhombus CDEF is -2/5. Therefore, option B is the correct answer.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.
Given that, the rhombus is CDEF and the slope of FC is 5/2.
Here, sides FC and CD are perpendicular.
The slope of a line perpendicular to given line is m₁=-1/m₂
Slope of CD is -2/5.
Therefore, option B is the correct answer.
Learn more about the rhombus here:
https://brainly.com/question/27870968.
#SPJ2
What’s the answer anything helps
Answers
Answer: 135
Step-by-step explanation:
Since the expression gives you that n = 5, you'll plug 5 into every "n" within the original equation.
6n^2 -15 = 6(5)^2-15
You'll then square 5
= 6(5*5)-15
= 6(25)-15
= 150-15
= 135
find the side of a cube whose surface area is 216 sq. m
Answers
Answer:
6 m
Step-by-step explanation:
Side = x
Surface area = \(6x^2\)
\(6x^2 = 216\)
\(x^2 =36\)
x = 6
The answer is 6m
Hope this helps :)
Have a nice day!
The side length of the cube is calculated as 6m
Data;
Surface Area = 216 sq. medge length = xSurface Area of a CubeThe surface area of a cube is given as
\(A = 6x^2\)
This indicates all the six sides in the cube.
Let's substitute the values and solve for x
\(A = 6x^2\\216 = 6x^2\\\frac{216}{6} =\frac{6x^2}{6} \\x^2 = 36\\x= \sqrt{36} \\x = 6\)
The side length of the cube is calculated as 6m
Learn more on surface area of a cube here;
https://brainly.com/question/9573057
identify the open intervals on which the graph of the function is concave upward or concave downward.
Answers
The concavity of the function in this problem is classified as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).When a function is concave up and when it is concave down?A function is said to be concave up when ts graph behaves like a portion of a parabola that opens upward.A function is said to be concave down when ts graph behaves like a portion of a parabola that opens upward.Hence the intervals are given as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).More can be learned about the concavity of a function at https://brainly.com/question/31402878
#SPJ1
in a class of 60 pupils all take mathematics or english or both x take mathematics and 4x take english if 10 pupils take both mathematics and english what is the value of x
Answers
Answer:
x=10
Step-by-step explanation:
According to the question
The equation is
x+4x+10=60
x+4x=50
5x=50
x=10
Help I hope you can see both
Answers
Answer:
15 degrees for the first one
90 degrees for the second one
Step-by-step explanation:
factorize by splitting the middle term 6x-11x+4
Answers
Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
Convert 3 over 7 into a percent.
Answers
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 3/7 as a percent, we need to find a fraction
equivalent to 3/7 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have \(\frac{3}{7} = \frac{n}{100}\).
Now, we can use cross-products to find the missing value.
So we have (3)(100) which is 300 is equal to (7)(n) or 7n.
So we have the equation 300 = 7n.
Next, dividing both sides of the equation by 7, we have 42.8571 = n.
So 3/7 is equal to 42.8571/100 or 42.8571%.
9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
Answers
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
For more such information on: rates
https://brainly.com/question/25720319
#SPJ8
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answers
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
this is my warmup can you please help me out with it
Answers
Answer:,
the answer is (4,2)
Step-by-step explanation:
is you look at the 2 equations and plug in the points where the lines intercets you would get the answer soo examples
4+2=6
the first one checks out
the second one
4+(2*2)=8
so the parinthises go first 2 times 2 = 4 plus 4 = 8
express each set using the roster method.
a. the set of the natural odd numbers greater than 2, but less than 11
b.
{x|x (N and 4
Answers
In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10."
How to solve the question?
a. The set of natural odd numbers greater than 2, but less than 11 can be expressed using the roster method as {3, 5, 7, 9}. The set includes all the odd natural numbers between 2 and 11, excluding the endpoints, since 2 is not odd, and 11 is not less than 11.
b. The set {x|x (N and 4<x<10)} can be expressed using the roster method as {5, 6, 7, 8, 9}. The set includes all the natural numbers greater than 4 and less than 10, since x is a natural number (N) and satisfies the condition 4 < x < 10.
In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10." The vertical bar separates the description of the elements of the set (the condition) from the set itself.
The roster method and set-builder notation are both ways of describing sets, but the roster method lists all the elements of a set, while the set-builder notation describes the properties or conditions that define the set. Both methods are useful in different situations and depend on the specific context and the purpose of the set description.
To know more about numbers visit :-
https://brainly.com/question/25734188
#SPJ1
Your complete question is :-
express each set using the roster method.
a. the set of the natural odd numbers greater than 2, but less than 11
b.{x|x (N and 4
x = -9 and y = 2 plz help me plz
Answers
Answer: 9 and -2
Step-by-step explanation: because of the way it's writen.
There are 5 burgers in burger world. A cowboy at 2, a lawyer ate 3, and a chef ate 9. How many burgers left?
Answers
Answer:
Step-by-step explanation:
Answer:
Mathematically -9, but the chef likely made new burgers so the answer is undetermined as the chef could have made any amount of burgers when he made his 9.
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
Jason spent $15.75 on art supplies.
This is $3.90 more than Andreas spent on art supplies.
Which equations represent this situation, including the amount that Andreas spent on art supplies?
1. a +3.90 15.75
a=19.65
2. 3.90 + a 15.75
a = 11.85
3. 3.90 + a = 15.75
a = 11.85
4. a 3.90 15.75
a = 19.65
Answers
Answer:
11.85 (3)
Step-by-step explanation:
The correct equation that represents this situation is:
3.90 + a = 15.75
where "a" represents the amount that Andreas spent on art supplies.
To solve for "a", we can subtract 3.90 from both sides:
a = 15.75 - 3.90
a = 11.85
Therefore, Andreas spent $11.85 on art supplies.
if jason spent 15.75, and we subtract 3.90 we get 11.85, so now working backwards if we add 3.90 and 11.85, we will get 15.75
you're valuing horn of plenty mining, inc.'s, stock in order to compare its value to its market price. you believe that the company will pay total dividends of $1.45 in 2015 and $1.56 in 2016. you also believe the company's stock price will be $35.80 at the end of 2016. if the appropriate discount rate is 12 percent, what's the value of horn of plenty mining's stock? a. $39.22 b. $38.31 c. $36.87 d. $37.43
Answers
Step 1: Calculate the present value of each dividend payment.
PV(2015) = $1.45 / (1 + 0.12)^1 = $1.29
PV(2016) = $1.56 / (1 + 0.12)^2 = $1.22
Step 2: Calculate the present value of the expected stock price at the end of 2016.
PV(2016 stock price) = $35.80 / (1 + 0.12)^2 = $28.33
Step 3: Add up the present values of the dividend payments and stock price to get the total stock value.
Stock value = PV(2015) + PV(2016) + PV(2016 stock price) = $1.29 + $1.22 + $28.33 = $30.84
Therefore, the value of Horn of Plenty Mining's stock is $30.84, which means that the correct option is e) None of the above.
What is the area of polygon LMN?
A. 50
B. 60
C. 65
D. 70
E.80
Answers
Answer:
c:65
Step-by-step explanation:
The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is \(\frac{1}{2}\)L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.
Better be 65 I think not sure
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answers
Answer: 1,176
Step-by-step explanation:
Which situation is modeled by the equation below? 25 + (-25) = 0
A. getting paid $35 for walking dogs, then spending $10 on games
B. getting paid $25 for walking dogs, then spending $25 on games
C. getting paid $20 for walking dogs, then spending $5 on games
D. getting paid $15 for walking dogs, then spending $10 on games
Answers
Step-by-step explanation:
Let's solve all of them,
A. getting paid $35 for walking dogs, then spending $10 on games
=$35-$10
=$25
B. getting paid $25 for walking dogs, then spending $25 on games
=$25-$25
=$0
C. getting paid $20 for walking dogs, then spending $5 on games
=$20-$5
=$15
D. getting paid $15 for walking dogs, then spending $10 on games
=$15-$10
=$5
Here,
Option B. matches with the above situation.
So,
Option B. is the correct answer.
Find the diameter of the circle who's radius is 9.1
Answers
Answer: d=18.2
Step-by-step explanation: d=2r=2·9.1=18.2
1. Which number does NOT represent a whole number
A. 25
B. 13
C. 150 over 3
D. 3.5
2. Which of the following is a rational number but is NOT an integer
A. 8
B. 24
C. 40 over 4
D. 6.2
Answers
The width of a rectangle is 9 inches less than the length. The perimeter is 38 inches. Find the length and the width.
Length __,
Width ___
Answers
Answer:
Length: 10
Width: 9
Explanation:
Perimeter Formula:
2(length + width)
So 2(length + width)=38
length + width=19
length + 9=19
length=10
There are 13 pieces of chicken at the dinner table. After dinner, only 3 pieces are left. How many pieces were eaten at dinner?
16
8
7
10
Answers
Answer:
10
Step-by-step explanation:
13 pieses - 3 pieces = 10 pieces that are eaten
Answer:
10
Step-by-step explanation:
What are the solutions of the quadratic equation (x + 3)2 = 49?
O x=-2 and x = -16
O x = 2 and x = -10
O x= 4 and x = -10
O x = 40 and x = -58
Answers
Answer:
4 and -10
Step-by-step explanation:
Take the square root:
x +3 = ±√49 = ±7
Subtract 3:
x = -3 ± 7
For the minus sign, we have ...
x = -3 -7 = -10
For the plus sign, we have ...
x = -3 +7 = 4
The solutions are x = 4 and x = -10.
The solutions of the quadratic equation x = 4 and x = –10
Step-by-step explanation:
A tiled floor measures 1 ⅔ by 2 ⅔ feet. What is the area of the floor?
Answers
let's firstly convert the mixed fractions to improper fractions and then multiply.
\(\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}\)
Mayor distributed 300 sacks of rice. A sack of rice weighs 50 kg. how many grams of rice did the mayor distribute?
Answers
Answer:
15,000,000 grams
Step-by-step explanation:
300 * 50 = 15,000kg
kg to grams is *1000
15,000 * 1000 = 15,000,000
Answer:
15,000,000.
Step-by-step explanation: