The table of values for the equation y = 3/x can be completed as follows:
x | y
1 | 3/1 = 3
2 | 3/2 = 1.5
3 | 3/3 = 1
4 | 3/4 = 0.75
5 | 3/5 = 0.6
To complete the table of values for the equation y = 3/x, we substitute different values of x into the equation and calculate the corresponding values of y.
When x = 1:
Substitute x = 1 into the equation: y = 3/1 = 3
So, when x = 1, y = 3.
When x = 2:
Substitute x = 2 into the equation: y = 3/2 = 1.5
So, when x = 2, y = 1.5.
When x = 3:
Substitute x = 3 into the equation: y = 3/3 = 1
So, when x = 3, y = 1.
When x = 4:
Substitute x = 4 into the equation: y = 3/4 = 0.75
So, when x = 4, y = 0.75.
When x = 5:
Substitute x = 5 into the equation: y = 3/5 = 0.6
So, when x = 5, y = 0.6.
By substituting different values of x into the equation y = 3/x, we can complete the table of values as shown above.
Hence, the completed table of values for y = 3/x is:
x | y
1 | 3
2 | 1.5
3 | 1
4 | 0.75
5 | 0.6
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Please help me find the function that explains how to get the output from the input
Answer:
The equation for those inputs and outputs is:
0.25 *input - 151.75 = Output
Step-by-step explanation:
For this, first search for the Slope of the funtion
THe slope can be found by calculating this :
(y2-y1)/(x2-x1) or in this case (output2 - output1)/ (input2 - input1)
IT continues as follows:
( -48.5 - 24) / (-413 - (-703) ) =
= (-72.5) / (290)
= -0.25
The slope is -0.25. If the function is a line then the equation is
-0.25*input + B = output
with any of the choices we can determine B.
-0.25 * (-703) + B = 24
175.75 + B = 24
175.75 +B - 175.75 = 24 - 175.75
B = - 151.75
The equation for those inputs and outputs is:
0.25 *input - 151.75 = Output
PLS ANSWER IT PLS PLS
Answer:
The one above the orange answer in the picture
Step-by-step explanation:
85% of 20 is 17 every thing else is not 85%
The correct answer would be the one on top left
100 Points! Algebra question. Photo attached. Only looking for an answer to B. Thank you!
(a) The amplitude of the function is 2.
(b) The amplitude of the function is 3.
What is amplitude?Amplitude is interval between the resting position and the maximum migration of the wave.
Formula for amplitude of the function is:
y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.
Given:
(a) y = 2 cos [3(Ф + 45)]
Formula for amplitude is:
y = A cos (ωt + Ф)
(b) y = 3 sin [2(Ф - 90)]
Formula for amplitude is
y = A sin (ωt + Ф)
After compare amplitude with equation than we get amplitudes are 2 and 3.
Therefore, the amplitude of the following function are 2 and 3 respectively.
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Find the rate of change
Answer:
The rate of change of function is: 2
Step-by-step explanation:
Using the given table we have to exclude two pairs of input and output.
The rate of change or slope of function is given as:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
We take first two pairs of input/output from the table
(x1,y1) = (1,11)
(x2,y2) = (2,13)
Putting the values
\(m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2\)
Hence,
The rate of change of function is: 2
lowest common factor of 72 and 108
Answer:
The lowest common factor of 72 and 108 is 216
help me asap 30 points on the line here must be the real awnser!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. 18/48 and 21/56
Step-by-step explanation:
You want to identify pairs of ratios that are proportional.
ProportionalRatios are proportional when they have the same value. We can check whether the values are the same by reducing each ratio to lowest terms.
The attached calculator display shows the proportional ratios are ...
18/48 and 21/56 . . . . choice C
__
Additional comment
Both of these reduce to 3/8. You can remove a factor of 6 from the numbers of the first ratio, and a factor of 7 from the numbers of the second ratio to reduce both of them to 3/8.
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Answer: C. 18/48 and 21/56
Step-by-step explanation: Hope it helps
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
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A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget
Answer:
1.75x ≤ 25
Step-by-step explanation:
Which sequences are geometric? Select three options.
Answer:
there are no sequences pls edit or repost so i can help : )
The first term of a sequence is 5.
The term-to-term rule is 'add 8'. What is the 10th term of the sequence?
Answer:
\(\fbox {77}\)
Step-by-step explanation:
Given
⇒ a = 5
⇒ d = + 8
Solving :
⇒ a₁₀ = a + 9d
⇒ a₁₀ = 5 + 9(8)
⇒ a₁₀ = 5 + 72
⇒ a₁₀ = 77
The dot plot shows the number of televisions owned by the families in a neighborhood
The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.
The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.
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This year for Spring break you are taking a solo trip to an exotic destination. You are deciding between two destinations: Bali, Indonesia, and Paris, France. You want to choose the destination that will give you the best value for your money.The table below shows the cost to travel to each destination Flight Hotel (pernight)Bali $967 $58Paris $534 $2551. Create an equation for each destination to represent cost, C to travel to that location based on n Number of nights.2. Explain which destination you choose and why. You must use mathematics in your explanation receive full credit.
Answer:
Part 1.
Bali: C = 967 + 58n
Paris: C = 534 + 255n
Part 2.
You should choose Bali because the cost is lower when you spend more than 2 nights.
Explanation:
The cost to travel to each destination is equal to the cost of the flight added to the cost of the n nights in the hotel. So, for each destination, we get:
Bali:
C = 967 + 58n
Paris:
C = 534 + 255n
Now, to decide which destination you choose, you need to know the number of nights. So, we can compare both equations as follows
967 + 58n < 534 + 255n
Solving for n, we find the number of nights that make the cost to go to Bali lower, so
967 + 58n - 58n < 534 + 255n - 58n
967 < 534 + 197n
967 - 534 < 534 + 197n - 534
433 < 197n
433/197 < 197n/197
2.198 < n
n > 2.198
Therefore, when n is greater than 2 nights, the cost to go to Bali is lower than the cost to go to Paris.
So, you should choose Bali because the cost is lower when you spend more than 2 nights.
Find a and b if the points p(6,0) and q(3,2) lie on the graph of ax + by =12
Answer:
\(a= 2\)
\(b = 3\)
Step-by-step explanation:
Given
\(p(x,y) = (6,0)\)
\(q(x,y) = (3,2)\)
\(ax + by = 12\)
Required
Find a and b
In \(p(x,y) = (6,0)\), \(x = 6\) and \(y = 0.\)
This gives:
\(a*6 + b*0 = 12\)
\(6a = 12\)
Divide by 6
\(a= 2\)
In \(q(x,y) = (3,2)\). \(x = 3\) and \(y = 2.\)
This gives:
\(a*3 + b*2 = 12\)
\(3a + 2b = 12\)
Substitute 2 for a
\(3*2 + 2b = 12\)
\(6 + 2b = 12\)
Collect Like Terms
\(2b = 12 - 6\)
\(2b = 6\)
Divide by 2
\(b = 3\)
10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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Plzzz help!!! 17 pts and brainliest!!!!!!!!!
Answer:
AAS
Step-by-step explanation:
Divide $3600 among Nancy Beverly and Todd in the ratio 2:3:4?
Answer:
nancy: $800, beverly: $1200, todd: $1600
Step-by-step explanation:
finding the portion of one part of the ratio:
3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)
Nancy: 2 x 400 = $800
Beverly: 3 x 400 = $1200
Todd: 4 x 400 = $1600
checking the answer:
1600 + 1200 + 800 = 3600
Pls answer this I’m just gonna keep typing because I need to get to 20 pls help
Answer:
its the second one hope this helps
Step-by-step explanation:
HELP ASAP
The figure shows two parallel lines AB and DE cut by the transversals AE and BD.
Which best explains the relationship between triangle ABC and triangle EDC?
Answer
its the first one
Step-by-step explanation:
Ms. Smolkey went on a shopping spree and spent $524. Now she has no more than $100 in her bank account (and she weeps). Write an inequality to represent the amount of money in Ms.Smoleys bank account
account before the shopping spree.
Please, Will give 96 pts
Answer:
Let x represent the amount of money Ms. Smolkey had before the shopping spree.
x - 524 < 100
x < 100 + 524
x < 624
Step-by-step explanation:
I'm not 100% sure if this is what you are looking for but I hope it helps!
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If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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A train can travel at a rate of 85 miles per hour. At this rate, how many hours will it take the train to go 102 miles
Answer:
\(Time = 1.2\ hours\)
Step-by-step explanation:
Given
\(Speed= 85\ miles/hour\)
Required
Determine the time for 102 miles
In this case, we make use of Speed formula as follows:
\(Speed = \frac{Distance}{Time}\)
This gives:
\(85 = \frac{102}{Time}\)
Solve for Time
\(Time = \frac{102}{85}\)
\(Time = 1.2\ hours\)
Hence, the time needed is 1.2 hours
Exhibit 2-1 Production possibilities curve data Consumption Goods Capital Goods
10 0
9 1
7 2
4 3 0 4
In Exhibit 2-1, according to the information, the opportunity cost of producing 3 units of capital is: A) 3 units of consumption goods B) 4 units of consumption goods C) 6 units of consumption goods D) 7 units of consumption goods.
The answer is C) 6 units of consumption goods.
What is Cost of producing?
The overall cost incurred by a business to manufacture a product or provide services is referred to as the cost of production. Supplies and raw materials consumed during production, as well as labor costs, are often included in production costs.
The opportunity cost of producing 3 units of capital is 6 units of consumption goods, as we can see from the data in the production possibilities curve.
Moving from producing 4 units of capital to producing 3 units of capital involves giving up 3 units of consumption goods (from 7 to 4), and moving from producing 3 units of capital to producing 2 units of capital involves giving up another 3 units of consumption goods (from 4 to 1).
Therefore, the opportunity cost of producing 3 units of capital is 6 units of consumption goods.
So, the answer is C) 6 units of consumption goods.
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The county fair charges $10 admission and $2 per ride. What is the cost for one admission and r rides
Considering the definition of an equation, the cost for one admission and r rides is Cost= 10 + 2×r
Definition of equationAn equation in mathematics is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a raised equation, means to determine by means of certain procedures the value that satisfies it.
Cost in this caseBeing "r" the number of rides, and knowing that:
The county fair charges $10 admission.The county fair charges $2 per ride.the equation in this case is:
Cost= 10 + 2×r
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A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.)
1. How many ounces of almonds would be in a one-pound bag of this trail mix?
2. Explain or show your reasoning. (OPTIONAL)
Answer:
Step-by-step explanation:
when you combine the amount of almonds and raisins, you get 12 ounces. so out of those 12 ounces, 7 is going to be almonds. aka \(\frac{7}{12}\). now you just have to multiply that by 16 (since there are 16 ounces in a pound) and you'll get roughly 9.333
what five parts make up a data table
Answer:
Step-by-step explanation:
Check boxes.
Sorting (on columns)
Icons that communicate alerts.
Pagination.
Headers Row.
Karen and Aisha share £18 in
the ratio 11 : 4. Work out how
much money Aisha gets.
Answer:
£4.80
Step-by-step explanation:
11 + 4 = 15
18 ÷ 15 = 1.2
1.2 × 4 = 4.8
can u pls help with this i forgot how to do it
Answer: A (5⁻²)² and D 5²*5⁻⁶.
Step-by-step explanation:
\(\displaystyle\\\frac{1}{5}*\frac{1}{5} *\frac{1}{5} *\frac{1}{5}=\\\\\frac{1*1*1*1}{5*5*5*5} = \\\\\frac{1^4}{5^4}=\\\\\frac{1}{5^4}=\\\\5^{-4}=\\\\5^{-2*2}=\\\\(5^{-2})^2.\)
\(5^{-4}=\\\\5^{2-6}=\\\\5^2*5^{-6}.\)
A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:
6 5
Step-by-step explanation:
4 5 6 7
What is the answer with steps?
Answer:
3
Step-by-step explanation:
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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