When a provider documents a code in the range of Z30 to Z39 in a patient's records, it typically refers to a category of codes related to "Encounter for Contraceptive Management" in the International Classification of Diseases, Tenth Revision (ICD-10).
The codes in this range, from Z30 to Z39, are used to classify encounters related to contraceptive management, including family planning, contraception counseling, initiation or management of contraceptive methods, and follow-up visits.
These codes are used to indicate that the purpose of the encounter was specifically related to contraception or family planning services.
This information is relevant for various purposes, such as medical coding, billing, and ensuring accurate documentation of the patient's visit.
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--The given question is incomplete, the complete question is given below " A provider has documented code in the range of Z30 to Z39 in submission. in a patient's records. Which is the medical assistant representing?"--
Factorise this expression as fully as possible
2xy^2 + 8y
Step-by-step explanation:
\(2xy^2 + 8y\)
2y is the common factor so:
\(2y(xy + 4)\)
Melody works at The Accokeek Ice Cream Hut. She earns $14 per hour. This week,
her boss had to cut her schedule, so she only worked 80% of the number of hours
she normally works. However, to compensate her, she was given a bonus of $30.
At the end of the week, Melody had earned $198.
The number of hours Melody worked this week was 15.
The hourly earnings of Melody at the Accokeek Ice Cream Hut are $14.Let the number of working hours in a week be "x".The number of hours Melody actually worked this week is 80 percent of "x".The number of hours Melody actually worked this week is 0.8x.The amount of compensation Melody received is $30.The total amount Melody earned at the end of the week was $198.The amount Melody should get at the end of the week is the sum of the compensation amount and the earnings for the number of hours she worked.198 = 30 + 14*0.8x168 = 11.2xx = 15Thus, Melody worked for 15 hours.To learn more about percent, visit :
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PLEASE ANSWER
Micaela is searching for the best spot to plant her tomato plants. The east side of her house gets 6 hours and 45 minutes of sunlight each day. The west side receives 7 hours and 15 minutes of sunlight on a daily basis. How much less sunlight does the east side receive?
Keep in mind that there are 60 minutes in 1 hour.
Answer:
420 + 15 = 435
360 + 45 = 405
435 - 405 = 30.
30 minutes less sunlight
Step-by-step explanation:
Answer:
The east side gets 30 minutes less sunlight.
Step-by-step explanation:
To find the answer we have to subtract 6 hours 45 minutes from 7 hours 15 minutes. As we see that 15 is less than 45, we turn 7 hours 15 minutes to 6 hours 75 minutes, and now we can subtract. 6 hours 75 minutes - 6 hours 45 minutes = 30 minutes. Now, we see that the answer is 30 minutes less sunlight.
you can rent time on computers at the local copy center for a $10 setup charge and an additional $2 for every 5 minutes. how much time can you rent for $25?
You can rent time on computers at the local copy center for 35 minutes with $25.
To find out how much time you can rent for $25 at the local copy center, follow these steps:
1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.
So, you can rent time on computers at the local copy center for 35 minutes with $25.
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what is 1/2h + 2h + 3/2h - 1 simplified?
Answer:
4h-1
Step-by-step explanation:
subtracted it with a scientific calculator and that was the answer
PLZZZZ HELPPPPP
In your own words, define: point, line, ray, segment, plane.
Answer:
point - a specific spot on the graph
line - a ray with both sides never ending
ray - a line with one side ending
segment - a specific piece of the line
plane - a never ending surface
Step-by-step explanation:
i took geometry last yearish
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.
Answer : 52 boys : 26 girls
Step - by - step explanation :
Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .
26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls
52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D
The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?
Answer:
V /(lw) = h
Step-by-step explanation:
V = lwh
Divide each side by lw
V/ ( lw) = lwh/(lw)
V /(lw) = h
V /(lw) = h
V = lwh
Divide each side by lw
V/ ( lw) = lwh/(lw)
V /(lw) = h
= 2 - 4
Drawing Tools
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3 peate
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10-
8-
6-
4
-10
-8
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it
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a
Answer:
Please find attached the required inverse of a function chart
Step-by-step explanation:
The inverse of a function is found by reversing the operations of the function
The inverse of the function f(x) = 2·x - 4 is found as follows;
x = 2·x - 4
x + 4 = 2·x
x = (x + 4)/2 = x/2 + 2
Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2
The inverse function is plotted by generating data points as follows;
\({}\)x \({}\) f(x)
0 2
1 2.5
2 3
3 3.5
4 4
5 4.5
6 5
7 5.5
8 6
9 6.5
10 7
11 \({}\) 7.5
12\({}\) 8
13 8.5
14 9
15 9.5
16 10
What is the effect on total liabilities when a company buys a building in exchange for a 20-year note payable?
When a company purchases a building in exchange for a 20-year note payable, the effect on total liabilities is an increase by the value of the note payable.
When a company acquires a building through a 20-year note payable, it means that the company agrees to make regular payments over the course of 20 years to the seller or a lending institution. This transaction has a direct impact on the company's balance sheet, specifically on the liabilities side. The note payable represents a long-term liability for the company, as it is a debt that needs to be repaid over an extended period.
Upon the purchase of the building, the company records an increase in the building asset account to reflect the acquisition. Simultaneously, the company recognizes a corresponding increase in the note payable account on the liabilities side. This increase in the note payable represents the amount owed by the company for the building purchase. As a result, the total liabilities of the company rise by the value of the note payable.
It is important to note that the company will also incur interest expenses over the 20-year period, which will further impact its financial statements. The interest expense associated with the note payable will be recorded periodically, typically on a monthly or annual basis, depending on the terms of the agreement. This interest expense will be recognized in the income statement and will result in additional costs for the company over the life of the loan. However, the initial effect on total liabilities is primarily the increase in the note payable, representing the outstanding balance owed on the building purchase.
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what is the coefficient of variation of the following discrete probability distribution? round your answer to one decimal place. write your answer as a percentage, not a decimal (so 43.2 rather tha 0.432).
The discrete probability distribution you are referring to in order to calculate the coefficient of variation. The coefficient of variation is a statistical measure that describes the amount of variation or dispersion relative to the mean of a probability distribution.
Assuming you provide me with the necessary information, I can calculate the coefficient of variation by dividing the standard deviation by the mean, and then multiplying the result by 100 to express it as a percentage. A higher coefficient of variation indicates that the data has more variability relative to the mean, while a lower coefficient of variation indicates that the data has less variability relative to the mean.
The coefficient of variation is most useful when comparing the variability of two or more distributions with different means. If two distributions have similar means, then comparing their standard deviations alone may be more informative. Additionally, the coefficient of variation may not be appropriate for all types of data, such as data that contains negative values or data that has a highly skewed distribution.
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−7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven Step 1: He should have added 25 to each side. Step 1: He should have divided both sides by −7. Step 3: He should have divided both sides by −7. Step 3: He should have multiplied both sides by −7.
Answer:
Step 3: He should have divided both sides by −7
Step-by-step explanation:
Incorrect calculation
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
-7*x/7 = 23/7
-7x/7 = 23/7
Step 4: x = twenty-three over seven
Correct calculation
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
-7*x/-7 = 23/-7
-7x/-7 = 23/-7
Step 4: x = twenty-three over negative seven
x = -23/7
A pyramid has a square base with Side s. The height of the pyramid is 2/3 that if it’s side. What is the expression of the volume of the pyramid
The expression for the volume of the pyramid is V = 2/9s^3
Volume of a pyramid
To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V=(1/3)×B×H, where B is the area of the base of the pyramid, and H is its height.
The volume of a pyramid is:
V=1/3(B)(H)
Where
B:Base = s^2
H:Height = 2/3s
Then:
V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3
Hence, the expression for the volume of the pyramid is V = 2/9s^3
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HELP ASAP DUE SOON! GIVING BRAINLIESTT!
Answer:
1. 40
2. 35.71
Step-by-step explanation:
using
pythagoras theorem
Represent this statement as an equation: Seven more than the quotient of a number and -2 is 6.
Answer:
7 + (X ÷ -2) = 6
Step-by-step explanation:
"more than" means to add.
"quotient" means to divide.
"is" means equal to.
ASAP I really need help doing a two column proof for this please.
The two column proof is written as follows
Statement Reason
MA = XR given (opposite sides of rectangle)
MK = AR given (opposite sides of rectangle)
arc MA = arc RK Equal chords have equal arcs
arc MK = arc AK Equal chords have equal arcs
Equal chords have equal arcsAn arc is a portion of the circumference of a circle, and a chord is a line segment that connects two points on the circumference.
If two chords in a circle are equal in length, then they will cut off equal arcs on the circumference. This is because the arcs that the chords cut off are subtended by the same central angle.
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Which expression can be used to find measure angle R
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
\(r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )\)
0. the population mean annual salary for acme corporation is $63,500. what is the probability that the mean salary of a person selected at random will have a salary that is less than $61,000? assume ????
To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.
First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:
Z = (X - μ) / (σ / √n)
Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)
Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.
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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.
To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.
Let's assume the sample standard deviation is $5,000.
First, we calculate the z-score:
\(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5
Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.
Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.
In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
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WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
Pls hurry!!!!!!! What value(s) of x will make x^2 = 100 true?
Answer:
\(\large\boxed{\fcolorbox{x=10 }{}{}}\) OR \(\large\boxed{\fcolorbox{x=-10 }{}{}}\)
Let's solve the equation step-by-step:
First, you must find the square root:
x = ± \(\sqrt{100}\)
We know that 10 × 10 = 100 and -10 x -10 is 100
that means that the square root is either 10 or -10
And we also know that \(10^2\) \(-10^2\) are both 100
meaning that x = \(10^2\) OR \(-10^2\)
6. Which equation illustrates the Multiplicative Inverse Property? Then list the property for all
he other answers right next to them.
F. 0•16 = 0
G. 1 (48) = 48
H. 3•1/3 = 1
J. 9(1+0) = 9(1)
\(\\ \bull\longmapsto 3.\dfrac{1}{3}\)
\(\\ \bull\longmapsto 3\times \dfrac{1}{3}\)
\(\\ \bull\longmapsto \dfrac{3}{3}\)
\(\\ \bull\longmapsto 1\)
Which describes us our multiplicative identity .
Which says
if x is a number then x×1/x=1
Leila wants to rent a boat and spend at most $93. The boat costs $8 per hour, and Leila has a discount coupon for $3 off. What are the possible numbers of
hours Leila could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
0 ≤ t ≤ 18
Step-by-step explanation:
The cost of renting the boat without any discount is $8 per hour. However, Leila has a discount coupon for $3 off, so the effective cost per hour would be $8 - $3 = $5.
Let's assume Leila rents the boat for t hours. The total cost of renting the boat for t hours would be $5 multiplied by t, which is 5t.
According to the problem, Leila wants to spend at most $93. Therefore, we can set up the following inequality:
5t ≤ 93
This inequality represents the condition that the total cost of renting the boat (5t) should be less than or equal to $93.
Simplifying the inequality:
5t ≤ 93
Dividing both sides by 5 (since the coefficient of t is 5):
t ≤ 93/5
t ≤ 18.6
Since we cannot rent the boat for a fraction of an hour, we can round down the decimal value to the nearest whole number:
t ≤ 18
0 ≤ t ≤ 18
Answer: 0≤t≤12
Step-by-step explanation:
(I’m not sure if it’s 5 dollars off per hour, or total, but here’s what I did!)
If Leila has a $3 coupon, than she can spend +$3 because when you get a coupon, you can spend more, so 93+3 is equal to 96, now we just divide by 8 (because a boat costs $8 per hour) and we get 96/8=12.
Then, in inequality form it’s t≤12, because she can rent the boat for at most 12 hours, you could also do 0≤t≤12, because you can’t rent it for a negative amount of time, but either works.
1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
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will the graph of a straight line always be a function? give evidence.
No, the graph of a straight line need not always be a function.
The equation of a straight line is,
y = -mx + c
y = the y coordinate
x = the x coordinate
c = y-intercept of the line
m = slope of the line = tan(Ф)
Since the values of y are dependent on the values of x, the graph is a function. But for a line parallel to x-axis, the equation is,
y=a and x=0
That is, for any value of y, the value of x is 0
and for a line parallel to the y-axis, the equation is,
x=a and y=0
That is, for any value of x, the value of y is 0
The values of x and y don't depend on each other. Hence, the graphs of straight lines need not always be a function.
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The factory makes 400 cars per day if the workday is eight hours long what is the hourly rate at which cars
Answer:
50
Step-by-step explanation:
Answer: The answer it’s 50. You need to divided the amount of cars and the hours. Therefore you’ll need to divide 400 and 8 which will then give you 50.
what is the volume of the solid generated when the region in the first quadrant bounded by the graph of y
The volume of the solid generated when the region in the first quadrant is: V ≈ 183.78
Volume of Solid Revolution:The disc method, the shell method, and Pappus' centroid theorem can all be used to calculate volume. In many academic disciplines, such as engineering, medical imaging, and geometry, revolution volumes are used. Integration can be used to determine the area of a region bounded by a known curve.
Because we are only revolving the region in the first quadrant, the x values range from x = 0 to x = 3.
Because of the rotation is about the vertical line x = -1, the radius of the cylindrical shell at x is r = x + 1.
The height of the cylindrical shell at x is h = \(x^{2}\)
We can now create our integral equation to find the volume:
\(V =2\pi\int\limits^a_b {rh} \, dx =2\pi\int\limits^3_0 {(1+x)x^2} \, dx \\\\V =2\pi\int\limits^3_0 {(x^{2} +x^3)} \, dx\)
We can now integrate and evaluate to find the volume of the solid.
\(V=2\pi(\frac{x^3}{3}+\frac{x^4}{4} )|^3_0\\\\V = 2\pi(\frac{27}{3}+\frac{81}{4} )\\\\V=\frac{117\pi}{2}\)
V ≈ 183.78
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The given question is incomplete, complete question is:
Find the volume of the solid generated by revolving the region in the first quadrant bounded above by the curve y =\(x^{2}\), below by the x-axis, and on the right by the line x = 3, about the line x = −1
the scientific method . group of answer choices now has been replaced by a widely accepted shortcut that is less time-consuming and less expensive involves testing observations to derive a working hypothesis results in the proving of a theory cannot prove a hypothesis to be true results in conclusions based on speculation
The scientific method is a systematic approach used by scientists to investigate and understand the natural world. It involves a series of steps that help scientists gather evidence, test hypotheses, and draw conclusions.
However, there is no shortcut that has replaced the scientific method. The scientific method remains the widely accepted approach for conducting scientific investigations. One of the key steps in the scientific method is making observations. Observations are used to identify a problem or phenomenon that requires further investigation. Based on these observations, scientists formulate a hypothesis, which is a tentative explanation for the observed phenomenon. The next step is testing the hypothesis. This involves conducting experiments or making further observations to gather evidence. Through these tests, scientists aim to either support or reject their hypothesis. After testing the hypothesis, scientists analyze the results and draw conclusions based on the evidence obtained. These conclusions are based on scientific reasoning and are not merely speculative.
In conclusion, the scientific method is a rigorous and logical approach to conducting scientific investigations. It involves making observations, formulating hypotheses, testing them, and drawing conclusions based on evidence. There is no widely accepted shortcut that replaces the scientific method. It is essential to follow the scientific method to ensure accurate and reliable results.
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The concept that a message gives different meanings to different objects is called _____.
a. ​encapsulation
b. ​polymorphism
c. ​linear addressing
d. ​dynamic addressing
The concept that a message gives different meanings to different objects is called option (b) polymorphism.
Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.
This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.
Therefore, the correct option is (b) polymorphism
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An Assembly Line Has 10 Stations With Times Of 1, 2, 3, 4, …, 10, Respectively. What Is The Bottleneck Time? Please Show All Work!!!!
An assembly line has 10 stations with times of 1, 2, 3, 4, …, 10, respectively. What is the bottleneck time?
Please show all work!!!!
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
What is the bottleneck?In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.
Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55
Given,
Assembly line has 10 stations
Throughput time is 55
The formula for bottleneck time is:
Bottle neck time = Total stations/Throughput time ×100
= 10/55 ×100
= 18.18%
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?
a. 18.18% of the throughput time
b. 100% of the throughput time
c. 550% of the throughput time
d. 50% of the throughput time
e. 1.82% of the throughput time
Click or touch the graph to plot the points.
y
8
9
4
2
Intro
2
4
D
6
8
x
Reset
Use the interactive graph to plot each set of points.
Which sets represent proportional relationships? Check
all that apply.
(1,4), (3, 8), (5,9)
(3, 2), (6, 4), (9, 6)
□ (2, 2), (4, 4), (6, 6)
(1,3), (2, 7), (3, 8)
(0, 0), (1, 2), (2, 4), (4,8)
Done
By using slope of a line, it can be calculated that-
Second, third and fifth options are correct.
What is slope of a line?
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan\theta\)
For the first option
The points are (1,4), (3, 8), (5,9)
Slope of line joining (1, 4) and (3, 8) = \(\frac{8-4}{3-1} = 2\)
Slope of line joining (3, 8) and (5, 9) = \(\frac{9-8}{5-3} = \frac{1}{2}\)
So the above points are not proportional
The first image shows the point plotted
For the second option
The points are (3, 2), (6, 4), (9, 6)
Slope of line joining (3, 2) and (6, 4) = \(\frac{4-2}{6-3} = \frac{2}{3}\)
Slope of line joining (6, 4) and (9, 6) = \(\frac{6-4}{9-6} = \frac{2}{3}\)
So the slopes are same
So the above points are proportional
The second image shows the point plotted
For the third option
The points are (2, 2), (4, 4), (6, 6)
Slope of line joining (2, 2) and (4, 4) = \(\frac{4-2}{4-2} = 1\)
Slope of line joining (4, 4) and (6, 6) = \(\frac{6-4}{6-4} = 1\)
So the slopes are same
So the above points are proportional
The third image shows the point plotted
For the fourth option
The points are (1, 3), (2, 7), (3, 8)
Slope of line joining (1, 3) and (2, 7) = \(\frac{7-3}{2-1} = 4\)
Slope of line joining (2, 7) and (3, 8) = \(\frac{8-7}{3-2} = 1\)
So the slopes are not same
So the above points are not proportional
The fourth image shows the point plotted
For the fifth option
The points are (0, 0), (1, 2), (2, 4), (4, 8)
Slope of line joining (0, 0) and (1, 2) = \(\frac{2-0}{1-0} = 2\)
Slope of line joining (1, 2) and (2, 4) = \(\frac{4-2}{2-1} = 2\)
Slope of line joining (2, 4) and (4, 8) = \(\frac{8-4}{4-2} = 2\)
So the slopes are same
So the above points are proportional
The fifth image shows the point plotted
To learn more about slope of a line, refer to the link-
https://brainly.com/question/3493733
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