Minimize C(xy) = 6x + 8y subject to 40r + 10y ≤ 2400, 10x + 15y = 2100, and 5x + 15y = 1500.
The given optimization problem aims to minimize the objective function C(xy) = 6x + 8y while satisfying the following constraints: 40r + 10y ≤ 2400, 10x + 15y = 2100, and 5x + 15y = 1500.
However, the constraints in the provided information are incomplete, making it difficult to determine a precise solution. To solve this problem, additional constraints or specific values for the variables are required.
Moreover, it seems that the statement "*20, y 20" is incomplete or contains a typo. If you can provide more information or clarify the constraints, I will be able to assist you further in solving the optimization problem.
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This make no sense are u having a stroke?
select the statement that is false. the interquartile range is always equal to or smaller than the range. the range is never greater than the greatest value of a data set. the mean is never greater than the greatest value of a data set. the range is the difference between the largest and smallest values of a data set.
The false statement is the range is never greater than the greatest value of a data set.
What is range ?The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output. Set of even natural numbers is the range. The components of the co-domain that are mapped are known as the pictures, while the elements of the domain are known as pre-images. The set of all pictures of the domain's elements, or the set of all the function's outputs, serves as the function's range in this instance.
The second and third quartiles, or the center half of your data set, are contained in the interquartile range (IQR). The interquartile range provides the range of the middle half of a data set, whereas the range provides the spread of the entire data set.
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13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
original price of a box of chocolates is $30. What is the sale price? (price after the discount)
A $3.00
C $27.00
B $5.00
D $33.00
Please help!! This test is super hard
Answer:
$27.00
Step-by-step explanation:
First, 10% of 30 = 3.
Second, 30 - 3 = 27
Hope this helps!
jamie buys 10 pens and sells them for R5 each .if the 10 pens cost him R52 .
calculate his profit or less per pen
Answer:
RS.20
Step-by-step explanation:
1 pen costs R5.20 and is sold for RS5 so profit is RS.20 per pen
HELP NEED AN ANSWER DUE TODAY!!
Solve for z.
−1.2z−8.2>−9.7
Drag and drop a number or symbol into each box to correctly complete the solution.
z < 1.25
I used mathaway it's correct
Delia works from 8:00 A.M. to 4:30 P.M. and has one hour each day forlunch. How much does she earn each week if she gets paid $4.80 per hour?a. $216b. $36c. $180d. $168
Assuming Delia works 5 days a week:
Since she works from 8:00 to 16:30, she works 8.5 hours a day. However, she takes one hour off for lunch, so in reality she works 7.5 hours a day.
Since we're assuming she works 5 days a week, she works
\(7.5\cdot5=37.5\)hours a week. If her hourly wage is $4.80, then she earns
\(37.5\cdot4.80=180\)so she earns $180 per week. Option c. is the correct answer.
agent bourne transferred classified files from the cia mainframe into his flash drive. the drive has 72 megabytes on it before the transfer, and the transfer happened at a constant rate. after 136 seconds there were 1,160 megabytes on the drive. the drive had a maximum capacity of 3,000 megabytes.
Answer: The speed was 4.1 MB/sec.
We first find the amount that was transferred within the first 125 seconds:
549-36.5=512.5
Now we divide this by 125, the number of seconds:
512.5/125 = 4.1
The speed of the transfer is 4.1 megabytes per second.
It took 235 seconds for the drive to be completely filled.
Step-by-step explanation:
It is assumed that approximately​ 15% of adults in the u.s. are​ left-handed. consider the probability that among 100 adults selected in the​ u.s., there are at least 30 who are​ left-handed. given that the adults surveyed were selected without​ replacement, can the probability be found by using the binomial probability formula with x counting the number who are​ left-handed? why or why​ not?
a. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.
b. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent.
c. No, because the 100 adults were selected without replacement, the selections are dependent.
d. No, because the probability of being right-handed is greater, x must count the number of right-handed adults.
No, the probability be found by using the binomial probability formula with x counting the number who are left-handed. The correct option is (c) No, because the 100 adults were selected without replacement, the selections are dependent.
The binomial distribution assumes that the trials are independent, meaning that the outcome of one trial does not affect the outcome of any other trial. However, in this case, the 100 adults were selected without replacement, which means that the outcome of one selection affects the probability of the next selection. Therefore, the trials are dependent, and the binomial probability formula cannot be used.
Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults in a sample of 100 adults selected without replacement from the U.S. population. The hypergeometric distribution takes into account the fact that the selections are dependent and is appropriate for this type of problem.
Therefore, the correct option is (c) No, because the 100 adults were selected without replacement, the selections are dependent.
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will give brainliest to whoever answers with steps by step conclusion
Step-by-step explanation:
perimeter of the quadrilateral is 39
area is 64
for ease for I got approximate numbers.
find x in the following equation:
2/3 x-8=24
To solve this equation, we need to get x by itself on one side of the equation. To do this, we can start by adding 8 to both sides of the equation to get:
2/3 x - 8 + 8 = 24 + 8
This simplifies to:
2/3 x = 32
Then, we can divide both sides of the equation by 2/3 to get:
(2/3) / (2/3) * x = 32 / (2/3)
This simplifies to:
x = 48
So the solution to this equation is x = 48.
What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint B. intersection of the lines drawn to bisect each vertex of the triangle C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
Answer:
intersection of the lines drawn to bisect each vertex of the triangle
Step-by-step explanation:
trust
Geometry
Please help me with my homework! Thank you!
Answer:
DH, CG, BF
Explanation:
Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.
Hope this helps.
this is long so if you can't answer it all in one i can repost the question Some students at MDVS are planning on planting a garden this spring. They want to plant squash, pumpkins, corn, beans, and potatoes. They plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:
a) Write an expression that represents the length of the North side of the field.
b) Simplify the polynomial expression that represents the North side of the field.
c) Write a polynomial expression that represents the perimeter of the beans field.
d) Simplify the polynomial expression that represents the perimeter of the beans field. State one reason why the perimeter would be useful to the Garden Club.
e) Write a polynomial expression that represents the area of the potato field.
f) Simplify the polynomial expression that represents the area of the potato field in descending order. State one reason why the calculated area would be useful to the Garden Club.
g) Write and simplify the polynomial expression that represents the area of the bean field if = 3. What unit would the area of the bean field have?
h) The Club would like their bean plants to grow to a height of ( + 2). Write a polynomial expression to find the volume of the bean plants if they reach a height of ( + 2).
i) Simplify the polynomial expression that represents the volume of the bean plants if they reach a height of ( + 2) feet in descending order.
j) The club realized they forgot to include a zucchini field into the field layout. They plan to use half the length and half the width of the squash field to plant zucchini. Write a polynomial expression that represents the area of the new zucchini field.
k) Simplify the polynomial expression that represents the area of the newly added zucchini field.
l) (don't do this one if you want to Write and simplify polynomial expressions that represent the perimeter and area of the cornfield. (Extra-credit)
Answer:
Step-by-step explanation:
the answer to that one is to math is how long you want to have you crops and two is how much money you will have in your pocket so that you can have another crops to take care of and also have a helper to help you grow crops for that issue
Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
Answer:
1,500
Step-by-step explanation:
Pls help need asap in 10 mins stressing out ://
Answer: The correct option is
(D) {3, 10, 17, 24, …}.
Reasoning:
We are given to select the sequence that represents the following function with a domain of natural numbers :
The set of natural numbers is {1, 2, 3, 4, . . .}
to find the sequence, we need to substitute x = 1, 2, 3, 4, . . . in equation (i).
From equation (i), we get
Therefore, the sequence that represents the given function is {3, 10, 17, 24, …}.
Thus, option (D) is CORRECT.
Question: 2. The Assignment Of Cost Of The Leather Used To Make 100 Bicycles Seats To A Custom Order To Be Shipped To A Bike Retailer is A. 2. The assignent of eost of the leather used to mave 100 bic
The cost of the leather used to make 100 bicycle seats is assigned to a custom order to be shipped to a bike retailer. This indicates that the custom order was for 100 bicycle seats and that they will be sold to a bike retailer. When it comes to the assignment of cost, the cost of the leather is an indirect cost.
The cost of the leather used to make 100 bicycle seats is assigned to a custom order to be shipped to a bike retailer. This indicates that the custom order was for 100 bicycle seats and that they will be sold to a bike retailer. When it comes to the assignment of cost, the cost of the leather is an indirect cost. Since it cannot be directly traced to the product, it must be allocated to the cost of production based on the percentage of production cost.
When 100 bicycle seats are being produced, and the cost of the leather used in their production is $400, then the cost per bicycle seat is $4. This is calculated by dividing the total cost of the leather ($400) by the number of bicycle seats (100). If the custom order is for 100 bicycle seats, the cost of the leather used to produce the seats will be $400.
The bike retailer, who will purchase the custom order, will be charged a retail price that is higher than the production cost.
The amount of the retail price will be higher than $4 per seat, and it will be based on several factors such as profit margin, overhead, and other expenses associated with the production and sale of the bicycle seats.
In conclusion, the cost of the leather used to make 100 bicycle seats will be assigned to a custom order to be shipped to a bike retailer. The cost of production is an indirect cost, and it will be allocated based on the percentage of production cost. The bike retailer will be charged a higher retail price that takes into account the production cost, profit margin, overhead, and other expenses.
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Two shops are selling the same DVD. In Tesco the DVD cost £11.49. In Asda the DVD
costs £13.99. Asda have an offer- "20% off all DVDs". Which shop should you buy the DVD
from?
Kena calculates that she spends 15% of a school day in science class. If she spends 75 minutes in science class, how many minutes does Kena spend in school?
Answer:
Step-by-step explanation:
Please Help Me I'm going to cry If don't get this right ASAP!!!! 100 points Whoever answers gets Brainllest.
The polynomial f(x) = x³-x²+px+q, where p and q are constants, has remainder 8 when divided by (x-1). If (x+1) is factor of f(x), find the values of p and q
Answer:p=-1 and q=1
Step-by-step explanation:
Answer:
p=3, q=5
Step-by-step explanation:
f(x) = x³-x²+px+q
factor: x+1 = 0 x = -1
(-1)³ - (-1)² + p*(-1) + q = 0
-2 - p + q = 0
p = q-2
(x-1) is factor of f(x) - 8, root x = 1 : f(x) = x³-x²+(q-2)x+q-8
(1)³ - (1)² + (q-2)(1) + q - 8 = 0
q - 2 + q - 8 = 0
2q = 10 q = 5
p = q-2 = 3
check: x³-x²+3x+5 = (x+1)(x²-2x+5)
x³-x²+3x+5 = (x²+3)(x-1) + 8
Tom has two pieces of rope. He wants to make a clothesline while he is camping. One rope is 2 feet long and the other is 4 feet long. The two closest trees to his camp are five feet apart. Will tom have enough rope to create a clothesline that will allow him to dry his clothes between these trees?PLEASE EXPLAIN
Answer:
Step-by-step explanation:
Yes, because if one is 2 feet long and the other one is 4 feet long add them together and you will get 6 feet. So you will have a little bit left over.
Which alternative correctly shows the general form of Sarah's budget line? Note: BR = Bus Ride and BC = Breakfast Combo. 60>20BR+30BC 30≤2BR+3BC 30≥2BR+3BC 30≥3BR+2BC
The correct general form of Sarah's budget line is 60 > 20BR + 30BC. This equation represents the maximum combination of bus rides and breakfast combos that Sarah can afford within her budget limit of $60.
A budget line represents the different combinations of goods or services that a consumer can afford given their budget constraint. It shows the maximum quantity of one good that can be obtained for a given quantity of another good, given the prices of the goods and the consumer's budget.
In this case, Sarah's budget line is given by the equation 60 > 20BR + 30BC. This equation represents the constraint that Sarah's total expenditure on bus rides (BR) and breakfast combos (BC) should not exceed $60. The coefficients 20 and 30 represent the prices of bus rides and breakfast combos, respectively. The inequality symbol ">" indicates that Sarah's expenditure must be strictly less than $60 to stay within her budget constraint.
Therefore, the correct alternative showing the general form of Sarah's budget line is 60 > 20BR + 30BC. This equation represents the maximum combination of bus rides and breakfast combos that Sarah can afford within her budget limit of $60.
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How much time a sum of rs 9400 will take to become 10951.8f the sum is invested 3 2/ 3 p.a?
It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.
Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8
To find: The time required to become Rs. 10951.8
Step 1: Calculation of Interest:
Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8
Step 2: Calculation of Time:
Time = (100 * Earned interest) / (Principal * Rate * 12/100)
Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,
Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)
= 100 * 1551.8 / 9400 * 11/3 * 12/100
= 15518 / 3636
= 15518/3636*100/100
= 426.906 or 426.91
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What is the range? 5,10,5,4,5,10,3,10
Help me pls
Answer: the answer is 7
Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7
Answer:
7.
Step-by-step explanation:
In order to find the range, you need to:
1. Arrange the set of numbers in order from smallest to largest.
2. Identify the smallest and largest numbers in the set.
3. Subtract the smallest number from the largest.
Therefore, your answer is 7.
Happy to help. :)
identify the graph that represents the given system of inequalities. also, identify two ordered pairs that are solutions to the system. y ≤ x 5 y ≤ 2x 3
Ordered pair (0, 6) and (2, 7) satisfy both inequalities in the system and are solutions to the system.
To identify the graph that represents the given system of inequalities y > x + 5 and y ≥ 2x + 3, we need to graph the individual inequalities and find the region where they overlap.
When we plot the graph of inequality separately:
y > x + 5:Draw a dashed line y = x + 5 (not including the line).Shade the region above the line.2. y ≥ 2x + 3:
Draw a solid line y = 2x + 3 (including the line).Shade the region above the line.The overlapping shaded region represents the solution to the system of inequalities.
To find two ordered pairs that are solutions to the system, we can choose any points within the overlapping region. Let's select two points:
Ordered pair 1: (0, 6)
Ordered pair 2: (2, 7)
These two points satisfy both inequalities in the system and are solutions to the system.
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The correct question is given below -
Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.
y > x + 5
y ≥ 2x + 3
The path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary. If all the experiments that followed met or exceeded this path, which quadratic inequality in standard form contains the points in the later experiments?
The equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The path of the launched projectile will a parabola.
We have the vertex of the parabola (5, 120)
The standard equation in terms of vertex (h, k)
\(\rm y = a(x-h)^2+k\)
Plug the points:
\(\rm y = a(x-5)^2+120\)
To find the value of “a” plug point (25, 80)
\(\rm 80 = a(25-5)^2+120\)
a = -1/10
Plug this into the equation;
The path of the equation:
\(\rm y = \dfrac{-1}{10}(x-5)^2+120\)
Thus, the equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.
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A relationship is proportional when the ratio of y over x is
y/x is equivalent to a constant and is equal to [m].
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
We have a relationship that is proportional when the ratio of [y] over [x].
The equation of a straight line -
y = mx + c
can be used to represent proportional relationship when [c] = 0. Now -]
y = mx
m = y/x
Now, y/x is equivalent to a constant and is equal to [m].
Therefore, y/x is equivalent to a constant and is equal to [m].
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Use the information to answer the following question.
Carolyn was asked to solve the following system of equations.
Her work is shown.
Step 1: 3x – 2y = 7
Step 2: 3x – 2(x + 2) = 7
Step 3: 3x – 2x + 4 = 7
Step 4: x + 4 = 7
Step 5: x = 3
Step 6: y = x + 2
Step 7: y = 3 + 2
Step 8: y = 5
Solution: (3, 5)
Did Carolyn make an error in her work?
Yes, Carolyn did not correctly combine like terms in Step 2.
Yes, Carolyn should have substituted the x-value into the first equation in Step 6.
No, Carolyn solved the system of equations correctly.
Yes, Carolyn did not correctly distribute the negative in Step 3.
Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.
3x – 2y = 7
3x – 2(x + 2) = 7
3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).
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Which function represents the relatonship shown on the graph?
A y= 300x
B y= 75x
C y= x + 75
D y= 1/75x
Answer:
B y=75x
Step-by-step explanation:
Using rise over run, we see that the slope of this graph is \(\frac{300}{4}\) which is 75. So plugging it into y=mx+b we'll get y = 75x
according to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,080. assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $480. (round your z-score computation to 2 decimal places and final answers to 2 decimal places.)
81.06% of people in the 25-34 age group spend less than $2,500 on reading and entertainment per year.
To find the z-score for a person who spends $2,500 on reading and entertainment in the 25-34 age group, we can use the formula:
\(z = \frac{(x - μ) }{σ} \)
Where: x = $2,500 μ = $2,080 σ = $480 Substituting these values, we get:
\(z = \frac{ (2500 - 2080)}{ 48} \\ z = 0.88\)
This means that a person who spends 2,500 on reading and entertainment is 0.88 standard deviations above the mean. To find the proportion of people who spend less than 2,500 on reading and entertainment, we can use a standard normal table or calculator to find the area to the left of z = 0.88. The area is 0.8106. Therefore, approximately 81.06% of people in the 25-34 age group spend less than $2,500 on reading and entertainment per year.
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