Write a multithreaded sorting program that works as follows: a list of integers is divided into two smaller lists of equal size. two separate threads (which we will term sorting threads) sort each sublist using a sorting algorithm of your choice.
Answers
A multithreaded sorting program can be designed by dividing a list of integers into two smaller lists of equal size. Two separate threads, called sorting threads, can then be used to sort each sublist using a sorting algorithm of your choice.
To implement this algorithm, you first need to create two threads and pass them the two sublists to be sorted. You can use a popular sorting algorithm such as Quicksort or Mergesort to sort these sublists. Once each thread has completed its sorting task, the sorted sublists can be merged back into a single sorted list.
To ensure that the threads work in parallel, you can use synchronization mechanisms such as mutexes and semaphores. These synchronization tools will ensure that the two threads do not interfere with each other's tasks and that the sorting is done concurrently.
In conclusion, a multithreaded sorting program that sorts a list of integers can be designed using two sorting threads. By dividing the list into two sublists and sorting them using a popular algorithm, the program can sort a large number of integers in a shorter amount of time. It is important to use synchronization mechanisms to ensure that the threads work concurrently and do not interfere with each other's tasks.
To know more about Integers visit:
https://brainly.com/question/10930045
#SPJ11
Related Questions
describe what is measured by the estimated standard error in the bottom of the independent-measure t statistic.
Answers
The ESE (estimated standard error) in the bottom of the independent-measure t statistic measures the variability in the sample data used to calculate the t statistic and provides information on the precision of the t statistic.
The t statistic is used to compare the difference between two means from independent groups to determine if the difference is significant or not.
The ESE reflects the degree of uncertainty in the difference between the two sample means and is calculated as the standard deviation of the sampling distribution of the difference between the two sample means. The ESE is an estimate of the standard deviation of the population difference and is used to calculate the t statistic.
The ESE is an important measure because it provides information on the precision of the t statistic, which is used to make inferences about the population difference. If the ESE is large, it means that the sample difference is less precise and the t statistic is less significant. If the ESE is small, it means that the sample difference is more precise and the t statistic is more significant.
To know more about estimated standard error click here:
https://brainly.com/question/15063024#
#SPJ11
DOES ANYONE KNOW THE ANSWERS PLEASEEE (ILL GIVE BRAINLIST)!!!!
Answers
Math 20-1
A canopy tour company designs zip line rides through forest and jungle environments. One particular zip line takes the passenger through a waterfall, the maximum height of which is 167 ft! The dimensions of both the zip line and the waterfall are shown in the image.
Height (ft)
-167 ft
-130 ft-
zip line
-75 ft
water fall
-100 ft
Horizontal Distance (ft)
a. Model this scenario with a system of equations.
Answers
The system equations are y= -1.3x+130 and y =\(\frac{-167}{5625}x^2+167\).
What is equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
Here let us set the origin as (0,0) in lower left.
Then slope m = -130/100 = -1.3
Y-intercept b= 130 ft.
Then equation is y=mx+b
=> y= -1.3x+130
Now for the parabola , it appears that the vertex is at 167 ft.
V=(0,167)
Now using vertex form of equation then,
=> y = a\((x-p)^2+q\)
=> y = a\(x^2\)+167
Now y=0 when x=75 then,
=> 0 = a\(75^2\)+167
=> -167=5625a
=> a = -167/5625
Then the equation is y =\(\frac{-167}{5625}x^2+167\).
To learn more about equation refer the below link
https://brainly.com/question/25262302
#SPJ1
A company promises to release a new smartphone model every month. Each model’s battery life will be 6% longer than the previous model’s. If the current models battery life is 731.0 minutes what will the latest models Battery life be in 9 months from now
Answers
The number of months that it will take the latest model's battery life to reach 731.0 minutes would be 8 months
Each month, there is an increase by a factor of 0.06 of the past months model.
By geometric sequence formula of aₙ = ar^(n - 1),
where; a is first term
r is common ratio, aₙ is nth term
we have;
1,008.9 = 731.0 * 1.06^(n - 1)
1008.9/731.0 = 1.06^(n - 1)
In 1.504 = (n - 1) In 1.06
0.408 = (n - 1) * 0.058
n - 1 = 0.408/0.058
n = 7.03 + 1
n ≈ 8 months
Read more about geometric sequence at; brainly.com/question/24643676
#SPJ1
what is the value of angle e ?
Answers
Answer:
4 units pls mark me brainliest i really need it thanks
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
92% of people in village have a TV. There are 265,000 people in that village. How many people do not have tv
Answers
Answer:
21,200 people do not have a TV
Step-by-step explanation:
92% of people have a TV
% of People who doesn't have a TV=100-92
=8%
There are 265,0000 people in the village
People who do not have TV=8% of 265,000
=8/100×265,000
=0.08×265,000
=21,200
Please help I’ve been on for 1/2 hours
Answers
1/2a-4 * = times
1/2*(a-8)
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Answers
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
Learn more about Physician Fee Schedule (PFS) at
brainly.com/question/32491543
#SPJ4
Tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. At the last game, $521 was collected when 139 people attended the game. Which value could replace x in the table so that a single-variable equation can be written and solved to determine the number of child’s tickets, c, sold?
Answers
Answer: x = 139-c is used to replace and there are 87 child's ticket.
Step-by-step explanation:
Let the number of child's ticket be 'c'.
Total number of people attended the game = 169
Let the number of adult's ticket be 'x'.
Cost of each child's ticket = $3.
Cost of each adult ticket = $5.
Total amount collected = $521
So, According to question, it must be look like this :
3c+5x=$521
Here, we need to replace x , so that a single variable equation can be written and solved to determine the number of child's tickets sold.
x+c=139
x=139-c
So, our single variable equation becomes
3c+5(139-c)=$521
3c+695-5c=521
-2c=521-695
-2c=-174
Hence, x = 139-c is used to replace and there are 87 child's ticket.
This is the correct answer to this question.
C. 139 – c
suppose that . for example, . for how many distinct integers does have exactly three distinct elements?
Answers
The *n will have exactly three distinct elements for 5 distinct integers .
In the question ,
it is given that ,
the set *n is = {n - 2, n + 2, 2n, n/2} ,
we have to find that for how many distinct integers does *n will have exactly three distinct elements .
we know that *n will have exactly three distinct elements if exactly 2 of the elements of {n - 2, n + 2, 2n, n/2} are same .
Solving the two equations one by one ,
we get ,
If n-2 = n+2 ;
n - n = 2 + 2
0 = 4 , So , No Solution .
if n - 2 = 2*n
2n - n = -2
So ,n = -2
if n - 2 = n/2 ,
2(n - 2) = n
2n - 4 = n
2n - n = 4
So , n = 4
If n+2 = 2n ,
2n - n = 2 , So , n = 2 .
if n + 2 = n/2 ,
then n = -4 .
If 2n = n/2 ,
then n = 0,
So , the integers are -4 , -2 , 0 , 2 , 4 .
Therefore , there will be 5 distinct integers .
The given question is incomplete , the complete question is
Suppose that *n = {n - 2, n + 2, 2n, n/2}. For example, *6 = {3,4,8,12}. for how many distinct integers does *n have exactly three distinct elements ?
Learn more about Integers here
https://brainly.com/question/539358
#SPJ4
How much warmer is 52 than 40
Answers
Answer:
see explanation
Step-by-step explanation:
8
If you take the square root of 52 and then divide by two you get about 3.6. You take i and multiply it by that and you get 4. Then divide 40 by 2 to get 20. Then you subtract the inverse of the mulltiagion thereom to get 4.
4+4=8
Object A has a mass of 12 g and a volume of 8 cm3. Object B has a mass of 20 g and a volume of 8 cm3. Which object has a greater density and by how much?
Object A, by 1 gram per cubic centimeter
Object A, by 8 grams per cubic centimeter
Object B, by 1 gram per cubic centimeter
Object B, by 8 grams per cubic centimeter
Answers
Answer:
Obj B, by 1 g/cm^3
Step-by-step explanation:
Obj A = 12g / 8cm^3 = 3g / 2cm^3 = 1.5 g/cm^3
Obj B = 20g / 8cm^3 = 5g / 2cm^3 = 2.5 g/cm^3
2.5 - 1.5 = 1 g/cm^3
Answer:
C. Object B, by 1 gram per cubic centimeter.
Step-by-step explanation:
Density = \(\frac{Mass}{Volume}\)
Volume x Density = \(\frac{Mass}{Volume}\) x Volume (cross both of volumes out)
Volume x Density = Mass
So, what you would do is divide the Mass and Volume, and the density would be the outcome.
Since we see it has a mass of 12g and a volume of \(8 cm^{3}\)
We would then do \(\frac{12 g}{8cm^{3}}\), this gives us 1.5, and \(\frac{20g}{8cm^{3}}\) gives us 2.5, so that would give us the answer C.
Learning Objective(s) 2.13: Determine the component form of a vector: . 2.14: Determine the magnitude (length=Ivector| √X comp+Y comp) and direction of a vector in Standard Position 6 arctan. Y com
Answers
A vector is a quantity that has both magnitude and direction. Magnitude refers to the length of the vector, and direction refers to the direction in which the vector is pointing.
The magnitude and direction of a vector can be used to represent a wide variety of physical quantities, including velocity, force, and acceleration. Component Form of a Vector:If we have a vector, v, with initial point A (x1, y1) and terminal point B (x2, y2), then the component form of v is given by:v = [x2 - x1, y2 - y1]We can then express the result as an ordered pair.
The magnitude (length) of a vector:The magnitude (or length) of a vector can be calculated using the formula:|v| = √(x² + y²)Where x and y are the x and y components of the vector respectively.Direction of a vector:The direction of a vector can be expressed in two ways, by an angle (θ) or by the angle of elevation
To know more about vector visit:
https://brainly.com/question/23269286
#SPJ11
simplify negative 15 for, 10 points
Answers
Answer:
The simplified fraction form of -15 is -15/15
Is there a relationship between Column X and Column Y? Perform correlation analysis and summarize your findings.
X Y
10 37
6 10
39 18
24 12
35 11
12 34
33 26
32 9
23 42
10 24
16 40
16 1
35 39
28 24
5 42
22 7
12 17
44 17
15 27
40 47
46 35
35 14
28 38
9 18
9 17
8 22
35 12
15 30
34 18
16 43
19 24
17 45
21 24
Answers
The correlation analysis indicates a moderate positive relationship between Column X and Column Y.
To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.
Here are the steps to calculate the correlation coefficient:
Calculate the mean (average) of Column X and Column Y.
Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375
Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125
Calculate the deviation of each value from the mean for both Column X and Column Y.
Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)
Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)
Calculate the product of the deviations for each pair of values.
Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)
Calculate the sum of the product of deviations.
Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)
Calculate the standard deviation of Column X and Column Y.
StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]
StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]
Calculate the correlation coefficient (r).
r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]
By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.
For more questions like Correlation click the link below:
https://brainly.com/question/30116167
#SPJ11
please gave an an easy explanation but make it make clear & no big words thank u.
Answers
we have the expression
\(\frac{10m^{(10)}n^5}{5m^9n^5}=\frac{10}{5}\cdot\frac{m^{(10)}}{m^9}\cdot\frac{n^5}{n^5}\)we have that
Using the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer.
so
\(\frac{10}{5}\cdot\frac{m^{(10)}}{m^9}\cdot\frac{n^5}{n^5}=\frac{10}{5}\cdot m^{(10-9)}\cdot n^{5-5}=2^{}\cdot m^1\cdot n^0=2m\)the answer is 2mwrite the equation
i’ll give a BRAINIST & 20 POINTS:)
Answers
Answer:
y=5/2x-16
Step-by-step explanation:
First, we want to find the slope of the original line.
m= -4+8/-1-9
m= 4/-10
m= -2/5
Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is
m=5/2
Now, we want to find the midpoint of the line.
9-1/2
8/2=4
-8-4/2
-12/2= -6
So, the midpoint is (4,-6)
Using the information we have, we now can find b.
-6=5/2(4)+b
-6=10+b
-16=b
That gives us our equation
y=5/2x-16
Jacob mixes the letters J, K, L, J, K, M, N, and P thoroughly. Without looking, Terry draws one letter. Expressed as a fraction, decimal, and percentage, what is the probabnity that K will not be the letter Terry selects?
Answers
The probability that K will not be the letter Terry selects is 0.875.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jacob mixes the letters J, K, L, J, K, M, N, and P thoroughly.
Here, total number of outcomes = 8
Number of outcomes = 7
Probability of event = 7/8
In decimal
7/8= 0.875
In percentage = 0.875×100
= 87.5%
Therefore, the probability that K will not be the letter Terry selects is 0.875.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ1
Find the volume of a right circular cone that has a height of 5.9 in and a base with a
diameter of 11.2 in. Round your answer to the nearest tenth of a cubic inch.
Answers
The volume of the cone is V = 193.8 inches³
Given data ,
Let the volume of the cone be represented as V
Now , the height of cone h = 5.9 inches
And , diameter of cone = 11.2 inches
So , radius of cone r = 5.6 inches
where , Volume of Cone = ( 1/3 ) πr²h
V = ( 1/3 ) ( 3.14 ) ( 5.6 )² ( 5.9 )
V = 193.8 inches³
Hence , the volume is V = 193.8 inches³
To learn more about cone click :
https://brainly.com/question/1984638
#SPJ1
Which of the questions below are statistical questions? Select
all that apply.
A) How many students go to each school in your area?
B) How many inches tall is your teacher?
C) What was the temperature at 8:00 am each of the past 7
days?
D) What is your favorite food?
Answers
Answer: a and c are statistical
Step-by-step explanation:
A candle is in the shape of a frustum.
Calculate the volume of the candle to the nearest tenth of a cubic centimetre.
Answers
Height = 8 cm
You will need this formula (see attached):
Volume = [PI * 8 * (2² + 2*4 + 4²)] / 3
Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3
Volume = 234.57 cubic centimeters
What is frustum?In geometry, a frustum is the portion of a solid that lies between two parallel planes cutting this solid. In the case of a pyramid, the base faces are polygonal, the side faces are trapezoidal.Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base. Both pieces have different volumes and areas.To visualize a frustum properly, consider an ice-cream cone which is completely filled with ice-creamTo learn more about frustum refer to:
https://brainly.com/question/5428945
#SPJ1
5000 containers are stacked 20 wide and 50 long on a ship. How many containers high are they? Pls answer and give explanation, thx
Answers
Answer:
5 containers high
Step-by-step explanation:
Given that :
Given :
Width = 20 containers
Length = 50 containers
Total containers = 5000
Hence,
Total containers = width * length * height
5000 = 20 * 50 * height
5000 = 1000 * height
Height = 5000 / 1000
Height = 5 containers
please please help im gonna fail
Answers
. ...........................................
.........
.
Answer:
lol bro I'm failing too. Maybe it's a
please Just give me the right answers thank you
Identify the choice that best completes the statement or answers the question. [6 - K/U] 1. If x³ - 4x² + 5x-6 is divided by x-1, then the restriction on x is a. x -4 c. x* 1 b. x-1 d. no restrictio
Answers
The restriction on x when x³ - 4x² + 5x - 6 is divided by x - 1 is x = 1.
How to find the value of x that satisfies the restriction when x³ - 4x² + 5x - 6 is divided by x - 1?When we divide x³ - 4x² + 5x - 6 by x - 1, we perform polynomial long division or synthetic division to find the quotient and remainder.
In this case, the remainder is zero, indicating that (x - 1) is a factor of the polynomial.
To find the restriction on x, we set the divisor, x - 1, equal to zero and solve for x.
Therefore, x - 1 = 0, which gives us x = 1.
Hence, the value of x that satisfies the restriction when x³ - 4x² + 5x - 6 is divided by x - 1 is x = 1.
Learn more about polynomial long division
brainly.com/question/32236265
#SPJ11
how long in seconds does it take for an object to hit the sidewalk if dropped from a 400 foot tall building
please help my grade is bad in math
Answers
Answer:
Using the free fall calculator from omnicalculator.com, we can determine the time it takes for an object to hit the sidewalk when dropped from a 400-foot tall building. Assuming the object is dropped from rest (v₀ = 0), we use the formula s = (1/2)gt², where s is the distance fallen, g is the acceleration due to gravity (9.80665 m/s²), and t is the time of fall.
First, we convert 400 feet to meters, approximately 121.92 meters. Then, we plug in the values into the formula and solve for t:
121.92 = (1/2) * 9.80665 * t²
Simplifying the equation, we get:
t² = 121.92 / 4.903325
t² = 24.8
t ≈ 4.98 seconds Thus, an object dropped from a 400-foot tall building takes approximately 4.98 seconds to hit the sidewalk.
Bacteria in a petri dish doubles every 10 minutes. (Express in exponential function)
a) If there are 10 bacteria initially, how many are there after 120 minutes?
b) If there are 10 bacteria initially, when would there be a million bacteria?
Answers
Answer:
a)1280 bacteria
Step-by-step explanation:
We find the function in t hours first
Bacteria in a petri dish doubles every 10 minutes. (Express in exponential function)
a) If there are 10 bacteria initially, how many are there after 120 minutes?
b) If there are 10 bacteria initially, when would there be a million bacteria?
The formula to use is given as
y = Ab^t
Where
y = Total Population of bacteria
B= initial population of the bacteria
r =
t = time in hours
The bacteria doubles in the petri dish every 10 minutes, we have 10 bacteria
10 minutes in hours = 10/60= 1/6 hours
10 × 2 = 10b^10/60
20 = 10b ^1/6
2 = b^1/6
Multiply both sides by Power of 6
2^6 = b
b = 64
Hence, y = 10×(64)^t
a) If there are 10 bacteria initially, how many are there after 120 minutes?
120 minutes in hours = 2
y = 10(64)²
y = 1280
There would be 1280 bacteria after 120 minutes
b) If there are 10 bacteria initially, when would there be a million bacteria?
y= 1,000,000
A = 10 bacteria
b = 64
t = ???
1000000 = 10 × (64)^t
Divide both sides by 10
100000 = (64)^t
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD.
Answers
Okay, according with the identities of parallelograms we have: AE=CE and BE=DE.
Replacing we obtain:
AE=CE
2x=x+2
2x-x=2
x=2
BE=DE
y+10=4y−8
10+8=4y-y
18=3y
y=18/3
y=6
And considering that BD=BE+DE, we got:
BD=(y+10)+(4y-8)=(6+10)+(4*6-8)=(16)+(24-8)=16+16=32
So, finally we obtain that the length of BD is 32 units.
ill give brainliest to first right answer!
If p and q vary inversely and p is 29 when q is 24, determine q when pis equal to 2.
Answers
Answer:
726
Step-by-step explanation:
Here p = k / q², and 24 = k / 121, or k = 2904
Then p = 2904 / q²
If q = 2, p = 2904 /4 = 726
Consisor the cost function C(x)=8x2+20x+25 (thoutand dollan). a) What is the marginal cost at production level x=6 ? b) Use the marginal cost at x+6 to estimate the cost of producing 650 units. c) Let R(x)=−x2+61x+45 denote the revenue in thousands of dolars ponerated from the production of x unts. What is the break-even point? (Recall that the break-even point is when the revenue is equal to the cost.) d) Compuife and compare the marginal revenue and marginal cost at the break-even point. Should the company increaso production beyond the break-even point? a) The marginal cost at production level x=6 is $ b) The cost of producing 6.50 unis is 3
Answers
a) The marginal cost at production level x=6 is $304.b) To estimate the cost of producing 650 units, we need to use the marginal cost at x+6. We can find the marginal cost at x=6 first, which we have already computed in part (a) as $304. To find the marginal cost at x+6, we need to substitute x+6 in place of x in the given cost function, C(x)=8x2+20x+25. Thus, we get:C(x + 6) = 8(x + 6)² + 20(x + 6) + 25= 8(x² + 12x + 36) + 20x + 120 + 25= 8x² + 116x + 313.
The marginal cost at x+6 is given by the first derivative of the cost function at x+6. Thus, we differentiate C(x+6) with respect to x and get:MC = C'(x + 6) = 16x + 116Thus, the marginal cost at x+6 is:MC = 16(650) + 116 = 10436Thousand dollars.c) The break-even point is the production level at which the revenue is equal to the cost.
Mathematically, it is the solution of the equation R(x) = C(x), where R(x) denotes the revenue function and C(x) denotes the cost function. Substituting the given functions, we get:-x² + 61x + 45 = 8x² + 20x + 25Simplifying and rearranging, we get:9x² + 41x + 20 = 0We can solve this quadratic equation using the quadratic formula. The roots of the equation are:x1 = -5x2 = -4/9Thus, the break-even point is when x = -4/9 or x = -5.
However, we cannot produce a negative number of units. Therefore, the break-even point is when x = -4/9, which is not a feasible solution. Hence, there is no break-even point.d) The marginal revenue is the first derivative of the revenue function, R(x). We can differentiate the given revenue function and get: MR = R'(x) = 61 - 2xThe marginal cost is the first derivative of the cost function, C(x).
We have already computed the marginal cost at the break-even point, which is $304.Comparing the two, we get: When x = -4/9:MR = 61 - 2(-4/9) = 571/9MC = 304Since the marginal revenue is greater than the marginal cost, the company should increase production beyond the break-even point to maximize its profits.
Learn more about cost of producing at https://brainly.com/question/29752657
#SPJ11
PQR and XYZ are similar right angled triangles.
A) work out the length of XY
Note:your finial line should say "XY=...."
(2 marks)
Rectangles ABCD and DEFG are congruent.
AB= 7cm
AD=3AB
B) work out the length of CE.
Note your final line should say "CE=..."
(2 marks).
Answers
Answer:
XY=4
CE=14
Step-by-step explanation:
A)since the 2 traingles are similar, there is a ratio between the 2 of them. we can find that by dividing the side :10/25 =0.4. so XYZ is 0.4 of PQR. to check that we can try to multiply pr by 0.4 to see if it gets XZ. 25 • 0.4 =10.To get XY we will do the same thing: PQ • 0.4 = 10 • 0.4 = 4
B)AB= 7
CD= AB =7
AD = 3 AB
AD = 3•7
AD= 21
Since ABCD is congruent to DEFG
AD =ED = 21
CE = ED-CD = 21-7=14
Answer:
1. 4cm
2. 14cm
Step-by-step explanation:
SimilarityTwo shapes are similar if and only if the ratio of their corresponding sides are equal. That is, the ratio of their bases is equal to the ratio of their heights is equal to the ratio of their hypotenuses.
CongruenceIf two shapes are said to be congruent, that means they are exacrly the same:same shape and same size
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
If ΔPQR and ΔXYZ are similar,
\( \frac{PQ}{XY}=\frac{QR}{YZ}=\frac{PR}{XZ} \)
\( \frac{25}{10}=\frac{10}{XY} \)
\( 25XY = 10(10) = 100 \)
\( XY = \frac{100}{25} = 4 \)
\( \:\)
If ABCD and DEFG are congruent,
AB=EF=CD=DG and BC=ED=AD=FG.
We have AB=CD=7 and AD=DE=21.
CE=DE-CD=21-7=14cm