Answer:
r is 19
Step-by-step explanation:
-4 - 20 = -24
-24 - r = -5
r = 19
Answer:
r=1/20
Step-by-step explanation:
-5=-4-20r (+4 both sides)
-1=-20r (times -1 both sides)
1=20r (divide by 20)
1/20=r
On december 1, after making a concerted effort, management determines that it will be unable to collect $1,200 owed to it by one of its customers. This company uses the allowance method to account for uncollectible accounts.
The answer is that since the company uses the allowance method for uncollectible accounts, it needs to record an allowance for doubtful accounts at the end of each accounting period. This allowance is an estimated amount that represents the portion of accounts receivable that is expected to be uncollectible.
In this specific situation, the company has determined that it will not be able to collect $1,200 owed by one of its customers. Therefore, it needs to adjust the allowance for doubtful accounts to reflect this uncollectible amount. This adjustment will decrease the accounts receivable balance and the net income for the period.
The allowance method is a way of accounting for uncollectible accounts that estimates the amount of accounts receivable that is likely to be uncollectible. This method is used because it is not possible to know exactly which accounts will not be collected. The estimated amount is based on historical experience and other relevant factors, such as economic conditions and the creditworthiness of customers.
When a company determines that a specific account is uncollectible, it needs to adjust the allowance for doubtful accounts to reflect this. This adjustment reduces the accounts receivable balance and the net income for the period. The adjustment is made by debiting the allowance for doubtful accounts and crediting the accounts receivable.
In this situation, the company has determined that it will not be able to collect $1,200 owed by one of its customers. Therefore, it needs to adjust the allowance for doubtful accounts to reflect this uncollectible amount. This adjustment will decrease the accounts receivable balance and the net income for the period. The adjustment is made by debiting the allowance for doubtful accounts and crediting the accounts receivable.
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2. Use Branch and Bound to solve Max z = 3x₁ + x₂ s. t 5x₁ + x₂ ≤ 12 2x₁ + x₂ ≤ 8 X₁ ≥ 0, X₂ ≥ 0, x₁, x₂ integer
Branch and Bound method is an algorithmic technique used in the optimization problem, particularly in the mixed-integer programming problem. The primary purpose of this method is to cut the branches that do not provide any optimal solution to the problem.
The process involves two essential steps which are branching and bounding. Branching refers to dividing the initial problem into smaller subproblems that are easily solvable and then obtaining the upper and lower bound on the solutions of the subproblem. On the other hand, bounding is all about the process of checking the bounds so that the algorithm may run smoothly.
Given:
Max z = 3x₁ + x₂ s.t5x₁ + x₂ ≤ 122x₁ + x₂ ≤ 8X₁ ≥ 0, X₂ ≥ 0, x₁, x₂
integer We begin by drawing the feasible region in a graph. This involves identifying the points that satisfy all the given constraints. Below is the graph of the feasible region:Graph of feasible region From the graph, it's evident that the feasible region is a polygon with vertices (0, 0), (0, 12), (4, 4), and (8, 0).We then proceed with the Branch and Bound algorithm to solve the problem.Step 1: Formulate the initial problem and solve for its solution.Let the initial solution be x₁ = 0 and x₂ = 0. From the constraints, we obtain the equations:5x₁ + x₂ = 0; 2x₁ + x₂ = 0.Substituting the values of x₁ and x₂, we get the solution z = 0. Thus, z = 0 is the optimal solution to the problem.Step 2: Divide the problem into smaller subproblems.In this case, we divide the problem into two subproblems. In the first subproblem, we assume that x₁ = 0, while in the second subproblem, we set x₁ = 1.Step 3: Solve the subproblems and obtain their upper and lower bounds.Subproblem 1: If x₁ = 0, the problem becomes:max z = x₂s.t.x₂ ≤ 12; x₂ ≤ 8; x₂ ≥ 0The solution to this problem is z = 0. The upper bound for this subproblem is 0 (the optimal solution from the initial problem), while the lower bound is 0.Subproblem 2: If x₁ = 1, the problem becomes:max z = 3 + x₂s.t.5 + x₂ ≤ 12;2 + x₂ ≤ 8;x₂ ≥ 0The solution to this problem is z = 4. The upper bound for this subproblem is 4, while the lower bound is 3.Step 4: Select the subproblem with the highest lower bound.In this case, the subproblem with the highest lower bound is subproblem 2 with a lower bound of 3.Step 5: Repeat steps 2-4 until the optimal solution is obtained.In the next iteration, we divide subproblem 2 into two subproblems, one where x₂ = 0 and the other where x₂ = 1. We solve both subproblems to obtain their upper and lower bounds as follows:Subproblem 2.1: If x₁ = 1 and x₂ = 0, the problem becomes:max z = 3s.t.5 ≤ 12;2 ≤ 8;The solution to this problem is z = 3. The upper bound for this subproblem is 4, while the lower bound is 3.Subproblem 2.2: If x₁ = 1 and x₂ = 1, the problem becomes:max z = 4s.t.6 ≤ 12;3 ≤ 8;The solution to this problem is z = 4. The upper bound for this subproblem is 4, while the lower bound is 4.The subproblem with the highest lower bound is subproblem 2.1. We repeat the process until we obtain the optimal solution. After several iterations, we obtain the optimal solution z = 4 when x₁ = 2 and x₂ = 2. Thus, the optimal solution to the problem is x₁ = 2 and x₂ = 2 with a maximum value of z = 4.
In conclusion, the Branch and Bound method is a powerful algorithmic technique that is used to solve optimization problems, particularly mixed-integer programming problems. The method involves dividing the initial problem into smaller subproblems that are easily solvable and then obtaining the upper and lower bounds on the solutions of the subproblem. By applying the Branch and Bound algorithm to the problem Max z = 3x₁ + x₂ s.t. 5x₁ + x₂ ≤ 12; 2x₁ + x₂ ≤ 8; x₁ ≥ 0, x₂ ≥ 0, x₁, x₂ integer, we obtain the optimal solution x₁ = 2 and x₂ = 2 with a maximum value of z = 4.
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Solve for x
A.3/4
B.52/7
C.17
D. 52/3
Answer:
at the picture or the a b c d ?
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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write the equation of a parabola with focus and directrix
The equation of a parabola with a given focus and directrix is:
x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0
In this equation, (a, b) represents the coordinates of the focus, and c represents the y-coordinate of the directrix. This equation describes a parabola where all points on the parabola are equidistant from the focus and the directrix.
To write the equation of a parabola with a given focus and directrix, we can use the geometric definition of a parabola. A parabola is the set of all points that are equidistant from the focus and the directrix.
Let's assume the focus is denoted as F(a, b) and the directrix is a horizontal line given by y = c. The vertex of the parabola is at the midpoint between the focus and the directrix, which is V(a, (b + c) / 2).
The distance from any point (x, y) on the parabola to the focus F(a, b) is given by the distance formula:
sqrt((x - a)^2 + (y - b)^2)
The distance from the point (x, y) on the parabola to the directrix y = c is given by |y - c|.
According to the definition of a parabola, these two distances are equal. Thus, we can set up the equation:
sqrt((x - a)^2 + (y - b)^2) = |y - c|
Squaring both sides of the equation eliminates the square root:
(x - a)^2 + (y - b)^2 = (y - c)^2
Expanding and rearranging the terms:
x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2cy + c^2
Simplifying and canceling out the y^2 terms:
x^2 - 2ax + a^2 + b^2 - 2by = c^2 - 2cy
Rearranging the terms to obtain the standard form of the equation:
x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0
Thus, the equation of the parabola with focus F(a, b) and directrix y = c is given by:
x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0
Complete Question - Write the equation of a parabola with focus F(a, b) and directrix given by y = c.
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Pls help me with this work
Answer:
Step-by-step explanation:
To the 4th power means that all the items in the parenthesis is mulitplied 4 times
(9m)⁴
=9*9*9*9*m*m*m*m*m or
= (9m)(9m)(9m)(9m)
Find the hourly rate of pay for each of the following jobs: a) Tamara owns a salon and earns R1050 for 6 hours and 15 minutes of work.
Answer:
₹168 per hour
Step-by-step explanation:
The hourly rate at which Tamara is paid can be found by dividing her ₹1050 pay by the 6:15 hours that she worked.
HoursWe know there are 60 minutes in an hour, so the fraction of an hour represented by 15 minutes is ...
(15 min)/(60 min/h) = (15/60) h = 1/4 h = 0.25 h
Added to the 6 whole hours Tamara worked, her pay is for 6.25 hours.
Hourly rateThe pay per hour is found by dividing pay by hours.
₹1050/(6.25 h) = ₹168/h
Tamara's hourly rate of pay is ₹168 per hour.
regarded as likely, probable, or certain.
Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.
What is Probable?‘Probable’ is high up on the scale of probability. If something is probable, then there is a high chance that something will happen. We can imagine that ‘probable’ is around 80% and up on the scale of probability.
If something is possible, it doesn’t mean it’s probable. However, if something is probable then it’s possible too. And if this confuses you then you’re probably in the right place.
Probable and certain are both on a scale of probability. Probability is the level of possibility or chance that something will happen or will be true in the present or future.
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can someone help me with this question please.
Answer:
b
Step-by-step explanation:
*View attached graph*
Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree
PLEASE HELP ME
Answer:
<S= 88degrees
<Q = <R = 46degrees
Step-by-step explanation:
Since the base angles of the isosceles triangle are equal hence;
<Q = <R
5x - 14 = 4x -2
5x - 4x = -2 +1 4
x = -2 + 14
x = 12
Since <Q = 5x - 14
<Q = 5(12) - 14
<Q = 60 - 14
<Q = 46degrees
Also <Q = <R = 46degrees
Similarly; <S + <Q + <R =180
<S +46 + 46 = 180
<+92 = 180
<S = 180 - 92
<S= 88degrees
How does countercurrent flow work?
The two-phase flow regime known as countercurrent flow occurs when the working fluids flow in opposing directions. Drag is one of the crucial interactions between these fluids, acting in opposition to the relative motion of one fluid to the other fluid. The situation in which one of the fluids exerts a significant drag on the other fluid and distorts its flow is known as a countercurrent flow limitation (CCFL). The flow of other fluids may get obstructed by CCFL if the drag being exerted is significant enough.
In nuclear power plants, CCFL can happen in the reactor vessel during blowdown when ECCS liquid is attempting to fill the downcomer and in the hot leg entry of the steam-generator inlet plenum during reflux-condensation. At a tie plate, where the flow of steam distorts the fallback of liquid during reflood, CCFL can also happen. In order to apply the CCFL model, TRACE relies on a relationship between the gas flux, liquid delivery, abscissa intercept, and slope. Users must provide correlation constants, which can be created from experimental data.
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In a study on public parking, the director of transportation counted the number of cars in each of city's parking lots. Number of cars Number of parking lots 102 4 112 2 118 1 166 3 X is the number of cars that a randomly chosen parking lot had. What is the expected value of X? Write your answer as a decimal.
x y x*f
102 4 408
112 2 224
118 1 118
166 3 498
sum 1248
total number of frequencies = 4 + 2 + 1 + 3 = 10
Expected value = 1248/10 = 124.8
Result = 124.8
what is the value of x in the equation 0.7x - 1.4 = -3.5
Answer: x=-3
Step-by-step explanation:
Answer:
I believe x=3
Step-by-step explanation:
0.7x- 1.4 = -3.5
+1.4. +1.4
0.7x = 2.1
divide both sides by 0.7 x= 3
Work out 2x squared when x = 5
\(\huge\text{Hey there!}\)
\(\mathsf{2x^2}\\\\\mathsf{= 2(5)^2}\\\\\mathsf{= 2(5\times5)}\\\\\mathsf{= 2(25)}\\\\\mathsf{= 50}\\\\\\\huge\text{Thus, your answer is: \boxed{\mathsf{50}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
The object below is made of seven rectangular prisms, each with dimensions of 4 centimeters (cm) by 2 centimeters by 6 centimeters. What is the volume, in cubic centimeters, of the composite solid?
432 cm.3
16,464 cm.3
336 cm.3
48 cm.3
Answer:
it is A 432 cm.3
Step-by-step explanation:
ice cream cost $0.85 per ounce. Which equation best represents y, the total cost of x ounces of ice cream.
Answer:
I'm not sure about my answer but I think it is y=0.85x
Step-by-step explanation:
0.85 is the rate and the rate = the cost of ounces of ice cream which is why 0.85 has an x to it
Between which two integers is
\( \sqrt{60} \)
Calculate the time it would take $7000 dollar investment to earn $1400 of simple interest at a rate of 4% per annum.
Answer: 5 years
Step-by-step explanation:
Hi, to answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t = years
Replacing with the values given
1400 = 7000x (4/100) x t
Solving for t:
1400 =7000 x 0.04 x t
1400 =280 t
1400/280 =t
t = 5 years
Feel free to ask for more if needed or if you did not understand something.
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year
How to calculate the rate of changeFrom the question, we have the following parameters that can be used in our computation:
s(t) = 0.12t² − t + 5.7
In 2000, we have the value of t to be
t = 2000 - 1990
Evaluate
t = 10
So, we have
s(10) = 0.12 * 10² − 10 + 5.7
Evaluate
s(10) = 7.7
Hence, the rate in 2000 is 7.7 billion dollars per year
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Question
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
Calculate the rate of change in 2000
14 Solve for the value of x.
3
(2x - 10)
(4x + 16)
Solve-3(z-6) ≥ 2z-2 for z
Answer: Z<4
Step-by-step explanation:
Rearrange the equation
-3(z-6) - (2z-2)>0
-3z+18-2z+2>0
-5z +20>0
-5(z-4)>0
divide both side by -5
z-4<0
z<4
in how many ways can three couples be seated so that each couple sits stogether (namely next to each other),
There are 48 ways to seat three couples be seated so that each couple sits together. To determine the number of ways three couples can be seated so that each couple sits together.
You can use the following approach:
1. Treat each couple as a single unit. There are three units (couples) to arrange, so there are 3! (3 factorial) ways to arrange them, which is 3 * 2 * 1 = 6 ways.
2. Within each couple, there are 2! (2 factorial) ways to arrange the individuals, which is 2 * 1 = 2 ways.
3. Combine the arrangements of couples and individuals: 6 ways (couples) * 2 ways (individuals within a couple) * 2 ways (individuals within a couple) * 2 ways (individuals within a couple) = 6 * 2^3 = 6 * 8 = 48 ways.
So, there are 48 ways in which three couples can be seated so that each couple sits together.
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Find the curcumince of the circle. use 3.14 or 22/7.
Answer:
the circumference of this circle is approximately 25.12 cm with π as 3.14.
Step-by-step explanation:
circumference of a circle is technically a perimeter of a circle.
we find the circumference of a circle by using the following formula :
c = 2πr or c = πd
r represents the radius d represents the diameter
since 4 yds here is a radius, we use the left formula i placed above. then, we substitute the numbers in. pi represents 3.14 as said in your question. even if you use 22/7, you will still get around the same result.
c = 2πr
c = 2(3.14)4
c = 6.28(4)
c = 25.12 yds
therefore, the circumference of this circle is approximately 25.12 yds.
If f(t) = 2t3 find each value.
f(4)
3[f(t)]
The value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.
What is polynomia?To calculate the polynomial expression below, we use the technique below.
From the question,
Given:
f(t) = 2t³.............. Equation 1To find f(4) we substitute 4 as the value of x in equation 1
f(4) = 2(4³)f(4) = 512.To find 3[f(t)] we multiply equation 1 by 3
3[f(4)] = 3(2t³) = 6t³Hence, the value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.
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A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price?
Answer:
Your answer is 16.05
Step-by-step explanation:
15.75 + 0.3 = 16.05
16.05 - 0.3 = 15.75
Find the volume of this sphere please.
As soon as possible…
Answer:
32cm^3
Step-by-step explanation:
(4/3)*3*(2)^3=32
Urgently The image of the point (-5, 4) under a translation is (-3, -1). Find the coordinates of the image of the point (-2, 9) under the same translation.
Answer:
the answer is (0,4)
Step-by-step explanation:
hope it helps
Choose all of the transformations that correctly maps figure A onto figure B
Answer: It seems you may have to post a picture/ link because I cannot see it.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
cause take this class
the measure of the total audience size for a given platform is determined by which metric?
Audience reach is a metric that is used to measure of the total audience size for a specific provide platform.
Audience reach answers the question of how many people have had the opportunity to consume (i.e. read, watch, and/or hear) news coverage of whatever you're watching. This metric is based on known circulation, viewership, audience size and followers of media outlets or social media users who publish the content in question. For the audience size of the publication/social media user providing the content is identified and then this number is added to the audience size of all other outlets publishing the content to give the total audience reach.
The first relates to viewership data for traditional online news content. Some in the measurement industry use the value of unique website visitors per month for audience reach calculations, while others use daily website traffic data. The second thing to keep in mind is that some PR or media measurement firms may use multipliers when calculating audience reach to account for dozens of people read that one copy.Hence, required answer is audiance reach.
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5/8 divided by 3/4
I'm having a bit of trouble with homework
Answer:
5/6
Step-by-step explanation:
in decimals it would be 0.83333333333
Answer:
5/6
Step-by-step explanation:
All you have to do is do KCF (Keep, Change, Flip) Keep the first fraction, change the division sign, and flip the second fraction and multiply straight across. Simplify if needed. (Hope this helps)