The equation for direct variation showing the relationship between x and y is y = 8x
What is a direct variation?
A sort of proportionality known as "direct variation" occurs when one quantity directly changes in response to a change in another quantity. This suggests that if one quantity increases, the other quantity will also increase proportionately. Similar to the last example, if one quantity declines, the other amount also declines. The link between direct variation and the graph will be linear, resulting in a straight line.
Given when x = 8/7, y = 1/7
The general equation for direct variation is
y = mx
m = x/y = ( 8/7 ) / ( 1/7) = 8
Therefore the equation for direct variation for the given question is
y = 8x
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a three column table is given. part A C D Part 14 28 63 whole 20 40 B what is the value of B in the table
According to the problem,The value of B is 8.
What is the value ?The value of depends on the subject matter and the purpose of the answer. In general, well-researched and thoughtful answers are invaluable, as they can provide insight, knowledge, and new perspectives. Plagiarism-free answers also demonstrate the writer's commitment to producing original content and respect for the original author's work.
Part A and C are each worth 1/3 of the whole, so A and C together are worth 2/3 of the whole. Since the value of Part A and Part C together is 14 + 28 = 42, the remaining value of the whole is 40 - 42 = -2. Since Part B is worth 1/3 of the whole, the value of B is 1/3 of -2, which is -2/3. Since fractions cannot be represented in the table, the value of B is rounded to the nearest whole number, which is 8.
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Rates
9
Jethro is planting flowers in his garden. He wants the ratio of tulips to roses to be 4 to 1. Jethro wants to plant a total of 45 flowers.
How many tulips should he plant?
OA. 34
OB. 36
OC. 11
OD.
9
Two times a number plus ten times a second number is twenty. Thirty times the second number plus three times the first number is 45.
The cost of a stereo cable has risen to $21 today. Yesterday's cost was $16 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
PLSSSSSSSSS HELPPPPPPPP!!!!!!!!!!!
Answer:
23.81%
Step-by-step explanation:
because 21-16 is 5 so 5/12 into a percentage is 23.81 percent.
if f(5) = 14, f ' is continuous, and 6 f '(x) dx 5 = 19, what is the value of f(6)? f(6) =
The function calculation can be used to determine the value of f(6): f(6) = f(5) + 6 f '(x) (x) dx 5 f(6) = 14 + 6 f '(x) (x) dx 5 f(6) = 14 + 19 f(6) = 33
The values of f(5) and 6 f '(x) dx 5 can be used to get the value of f(6). Since f' is a continuous function by definition, it may be used to determine the area under the curve between any two locations using its derivative. The area between x=5 and x=6 can therefore be calculated using the definite integral 6 f' (x) dx 5. Adding the f value, which is equal to f(5), gives us f. (6). The definite integral 6 f' (x) dx 5 is 19 in this instance, while the value of f(5) is 14. Therefore, f(6) = f(5) + 6 f '(x) dx 5 = 14 + 19 = 33 can be used to compute the value of f(6). This demonstrates that f(6) has a value of 33.
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Is this a function? Explain.
(-4, 8) , (-1, 2) , (2, -4), (5, -10)
Answer:
Yes, it is a function.
Step-by-step explanation:
Function is a mapping between two sets meaning we are creating a set of pairs where the first element of a pair comes from the first set and the second one from the second set. The first set is called function domain and the second one is called the set of function values.
There are two conditions that must be satisfied:
every element of the domain must be paired with an element from the set of valueseach element of the domain can be paired with only one element from the set of values.In our case the set: {-4, -1, 2, 5} would be our domain and the set: {8, 2, -4, 10} would be the set of values. We see that all elements of the domain have a pair and each of its element is paired with only one value (There are no pairs where for example -4 would be repeated as a first element).
given that set q {1,2,3,4,5}
write down four proper subsets of set q,each with three elements
Answer:
a = {1,2,3}
b = {3,4,5}
c = {1,3,5}
d = {2,4,3}
Step-by-step explanation:
Answer:
Step-by-step explanation:
jvlvhj;vh i need the points sorry
If y varies directly as x, and y=13 when x=12, find y when x=6
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} y=13\\ x=12 \end{cases} \\\\\\ 13=k(12)\implies \cfrac{13}{12}=k\hspace{5em}\boxed{y=\cfrac{13}{12}x} \\\\\\ \textit{when x = 6, what's "y"?}\qquad y=\cfrac{13}{12}(6)\implies y=\cfrac{13}{2}[/tex]
Triangle ABC is an isosceles triangle. Select a possible ratio for the lengths of the sides of triangle ABC if its perimeter is 42 inches and the length of each side is a whole number. A) 7:4:4 B) 5:4:4 C) 4:3:3 D) 3:2:2
Answer:
D
Step-by-step explanation:
isosceles triangle = 2 sides equal
multiply each by 6 you'll get D 18:12:12 sum of all three is 42
what verbal expressions are represented by the algebraic expression?
2x + 5
The verbal expression for the algebraic expression can be written as: "two times a number plus five" or "five more than two times a number."
What is an Algebraic Expression?An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations. It can be simplified or evaluated for a specific value of the variable to find its numerical value.
The algebraic expression "2x + 5" represents the verbal expression "two times a number plus five" or can be written as "five more than two times a number."
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Calculating a binomial probability PROBLEM: When rolling two fair six-sided dice, getting a pair of ls is called "snake eyes." The probability of getting "snake eyes" on any roll is 1/36. Suppose that a game player rolls the two dice 80 times. Let X = the number of rolls that result in "snake cyes." Find P(X = 2). Interpret this value in context If two dice are rolled 80 times, then there is a 27.089% chance that we get a pair of snake eyes. Question 3 (25 points) Calculating a binomial probability PROBLEM: See the preceding alternate example. Should the player be surprised if fewer than 2 of the rolls result in snake eyes? Calculate an appropriate probability to support your answer.
No, if less than two of the rolls produce snake eyes, the player shouldn't be startled. Out of 80 rolls, there is a 97.78% probability of receiving fewer than two snake eyes, making this scenario highly probable.
P(X < 2) = 1 - P(X = 2) = 1 - 0.27089 = 0.97711
No, if less than two of the rolls produce snake eyes, the player shouldn't be startled. There is a 1/36 chance of receiving "snake eyes" on any roll. Accordingly, the likelihood of receiving two snake eyes out of 80 rolls is only 0.27089, or roughly 27%. The likelihood of receiving fewer than two snake eyes, on the other hand, is 0.97711, or roughly 97.78%, out of 80 rolls. As a result, statistically speaking, it is more likely that less than 2 of the rolls will produce snake eyes. The player shouldn't be shocked if less than two of the dice produce snake eyes.
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Function gcan be thought of as a translated (shifted) version of f(x)=x^2f(x)=x
Write the equation for g(x).
After translations function of g becomes g(x)=x²-1.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given function is f(x)=x².
When the shape is moved up by k units, then replace y with y + k.
When the shape is moved towards the left by k units, then replace x with x - k.
From the graph, we can see graph of function g is shifted 1 unit up and 2 units left.
Now, g(x)= f(x)+1-2
g(x)=x²-1
Therefore, after translations function of g becomes g(x)=x²-1.
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A driveway has a grade of 20%. What’s the slope of this driveway?
Answer:
The slope of the driveway is 0.2 or 20%.
Step-by-step explanation:
Grade is a measure of the steepness of a slope, typically expressed as a percentage. To convert a grade percentage to a slope, you can use the following formula:
Slope = Grade / 100
So in this case, the grade of the driveway is 20%, and using the formula above, the slope of the driveway would be:
Slope = 20 / 100 = 0.2 or 20%
Keep in mind that grade is an expression of the steepness of a slope, and slope is an expression of the incline of a line. They are related, but they are not the same thing. Grade is a percentage, while slope is a ratio, and they are used in different contexts.
In mathematics, the grade of a surface represents its steepness or incline. A driveway with a grade of 20% means it inclines or descends 20 units vertically for every 100 units horizontally. Therefore, the slope of this driveway is 20/100 or 0.2.
Explanation:In the field of mathematics, particularly in geometry, the term grade is often used to express the steepness or incline of a surface, like a driveway. If a driveway has a grade of 20%, it means that for every 100 units you move horizontally, you'll ascend or descend 20 units vertically.
The slope of the driveway is represented by the same proportion: rise over run, or vertical change over horizontal change. Therefore, in this case, the slope of the driveway is 20/100 or 0.2 when expressed as a decimal.
So, a driveway with a 20% grade has a slope of 0.2.
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car a leaves santa barbara at noon traveling south toward los angeles at mph. at 1pm car b leaves los angeles traveling north toward santa barbara at mph. the distance between the cars at noon was miles. if car b does not get pulled over, how many minutes after car b leaves will they pass each other?
The 11.25 minutes required after car b leaves will they pass each other and A meets B at 01:11:15 PM.
Car A leaves Santa Barbara at noon traveling south toward Los Angeles at 70 mph.
At 1pm car B leaves Los Angeles traveling north toward Santa Barbara at 90 mph.
The distance between the cars at noon was 100 miles.
If car B does not get pulled over, how many minutes after car B leaves will they pass each other?
:
Let t = travel time of Car B
then
(t+1) = travel time of Car A
:
Write a distance equation:
Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took.
The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in meters (m) and time is in seconds (s), so the units will be in meters per second (m/s).
The formula speed = distance ÷ time can be rearranged, just like any other equation.
⇒90t + 70(t+1) = 100
⇒90t + 70t + 70 = 100
⇒160t = 100 - 70
⇒160t = 30
⇒t = 30/160
⇒t =0 .1875 hrs, 0.1875(60) = 11.25 minutes
⇒A meets B, at 01:11:15 PM
Therefore, the 11.25 minutes after car b leaves will they pass each other.
and A meets B at 01:11:15 PM.
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Car A leaves Santa Barbara at noon traveling south toward Los Angeles at 70 mph. At 1pm car B leaves Los Angeles traveling north toward Santa Barbara at 90 mph. The distance between the cars at noon was 100 miles. If car B does not get pulled over, how many minutes after car B leaves will they pass each other?
Write a multiplication equation with one variable and one fraction that has a solution 8
Answer:
Step-by-step explanation:
4x
How Do You Find a Scale Factor in Similar Figures?
To find the scale factor of similar figures ratio the equivalent sides of the original figure to the generated one.
What is a scale Factor ?The scale factor is the ratio obtained by dividing the equivalent side lengths of like figures. The ratios in the previous example were all reduced to 3/4, so we can conclude that the scale factor of the triangles LMN and QRS is 3/4. A scale factor can also be thought of as a multiplier.
When both the original dimensions and the new dimensions are known, the scale factor may be determined. The following is a basic formula to determine a figure's scale factor: Dimension of the new shape divided by Dimension of the previous shape is the scale factor.
The ratio that establishes the proportionality between the sides of like figures is known as the scale factor. The scale factor of the pairs of sides must match for them to be proportionate to one another. In other words, comparable figures have the same scale factor and congruent angles and sides.
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What is a formula for the nth term of the given sequence? 32 8 2
Formula for finding the nth term of an arithmetic sequence:
[tex]an=a+(n-1)d[/tex]
an(nth term) = a(first term) + (n(term you are looking for) - 1) * d(common difference)
1. (cards) assume we have a well-shuffled, standard deck of playing cards (a) how many poker hands (sets of 5 cards) consist of exactly 2 aces and 3 kings? (b) assume we deal the entire deck. what is the probability that the first king is dealt out on the 13th card ?
The number of poker hands consisting of 2 aces and 3 kings is 41,472.
The probability that the first king is dealt out on the 13th card is 1/52.
(a) There are 4 aces and 4 kings in a standard deck of playing cards, so there are C(4,2) = 6 ways to choose 2 aces out of 4, and C(4,3) = 4 ways to choose 3 kings out of 4. Then, there are C(48,3) = 17, 296 ways to choose the remaining 3 cards from the remaining 48 cards in the deck. The number of poker hands consisting of 2 aces and 3 kings is 6 * 4 * 17, 296 = 41,472.
(b) The probability that the first king is dealt out on the 13th card is 1/52, since there are 52 cards in a standard deck and the first king can be any of them. The probability that the first king is dealt out on the 13th card is independent of the order in which the other cards are dealt, so this is the final answer.
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A fair coin is tossed four times. A Is the evmt that at least one of the first three tosses was a head and B is the event that at least one of the last three tosses was a tail. Are A and B indepednent?
i said no because the outcome of the first three tosses affects the outcome of the last three tosses. if at least one of the first three tosses was a head, it increases the chance that at least one of the last three tosses will also be a tail. conversely, if at least one of the last three tosses was a tail, it increases the chance that at least one of the first three tosses was a head. so, the outcome of one event affects the outcome of the other event, thus, A and B are not independent events.
The solution is, A and C are not independent.
B and C are not independent either.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
By the multiplication rule, the sampling space has possible outcomes.
Let's compute P(A), P(B), P(C), P(A∩C), P(B∩C), P(A|C) and P(B|C).
As there are only two outcomes that does not have at least on tail in the first three tosses (H,H,H,H) and (H,H,H,T) then
P(A) = 14/16 = 7/8
Similarly, as there are only two outcomes that does not have at least on head in the last three tosses (H,T,T,T) and (T,T,T,T) then
P(A) = 14/16 = 7/8
A∩C and B∩C have 4 possible outcomes (T,H,T,T), (T,H,T,H), (H,H,T,T) and (H,H,T,H), so
P(A∩C) = P(B∩C) = 4/16 = ¼
P(A) given C and P(B) given C have the following probabilities:
P(A|C) = P(A∩C)/P(C) = 1
P(B|C) = P(B∩C)/P(C) = 1
Since P(A|C)≠P(A), A and C are not independent
Since P(B|C)≠P(B), B and C are not independent
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What is the quotient?
49 ÷ 3
This model describes the division calculation.
Enter a number in each box to correctly complete the model and
At a gla vae factory 2 out of the lat 20 vae produced were chipped. Conidering thi data, how many of the next 10 vae would you expect to be chipped
Based on the data you provided, the proportion of chipped vae in the last 20 produced was 2/20 = 0.1.
Therefore, we would expect the number of chipped vae in the next 10 to be approximately 0.1 * 10 = 1.
Estimating Chipped Vae CountThe estimate of the number of chipped vae in the next 10 was determined by multiplying the proportion of chipped vae in the last 20 produced (0.1) by the number of vae to be produced in the next 10.
0.1 * 10 = 1
This estimate assumes that the proportion of chipped vae in the next production batch is the same as the proportion in the last 20. This is known as a point estimate and it's based on the information we have available.
Keep in mind that this is just a rough estimate and actual results may vary. Other factors such as changes in production processes or quality control measures may affect the proportion of chipped vae in the next batch.
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SI units are used for scientific measurement.
Answer: SI units also known as the metric system are used for scientific measurements
~ h a d k a l a h ~
Can someone please answer this?
Answer:
149 [tex]ft^{2}[/tex]
Step-by-step explanation:
The total area is
20 x 9.25 = 185
The two triangles together would be
6 x 6 = 36 subtract this from 185
185 - 36 = 149
A picture of a parallelogram with width 38in. and side 44in. A perpendicular line with a height of 35in. is shown inside the parallelogram and forms a right triangle.
Find the area of the parallelogram. The figure is not drawn to scale.
The area of the parallelogram is 1710 square inches
How to find the area of the parallelogram.From the question, we have the following parameters that can be used in our computation:
Base = 38 inches
Side = 44 inches
Height = 35 inches
We can find the area of the parallelogram by multiplying the base (width) by the height
Using the above as a guide, we have the following:
Area = 38 * 45
Evaluate
Area = 1710
Hence, the area is 1710 square inches
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Answer:
Area of a parallelogram (base x height)
Given:-Base = 38 in.Height = 35 in.Area of the parallelogram = 38 x 35
Area of the parallelogram = 1,330 in.²
The sum of the least and greatest of 3 consecutive even numbers is 84. Find the numbers.
When the total of the least and greatest digits of three consecutive even numbers is 84, the correct responses are 26, 28, and 30.
what is arithmetic progression ?An arithmetic progression is defined as a constant difference between terms that follow one another in a series. For instance, the number sequence 5, 7, 9, 11, 13, and 15 is an example of an exponential function with a tolerance of two. A progression with a set tolerance either between two consecutive numbers is referred to as a "arithmetic progression" (A.P.). Two types of mathematical progression are possible: series in mathematics with a finite length A finite geometric evolution is a line with a finite number of terms. The early, tardy, tolerance, the number of terms may all be calculated using the terms in the series.
given
Suppose three consecutive numbers are
X, X+2, X+4.
Considering the query,
X+X+2+X+4= 84,
3X+6=84
3X=84–6
3X=78
X=26.
When the total of the least and greatest digits of three consecutive even numbers is 84, the correct responses are 26, 28, and 30.
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blitzen, the reindeer, walks seven times faster thank nikolas. nikolas walked 15 hours and rode blitzen for 3 hours to travel 144 miles. how fast does nikolas walk and how fast does blitzen walk.
ps. i need more than just the answer, gotta show my work
The respective speeds of Blitzen and Nikolas are 28 miles per hour and 4 miles per hour.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Blitzen walks 7 times faster than nikolas and nikolas walked 15 hours and rode blitzen for 3 hours to travel 144 miles.
Let the speed of nikolas be x then we have
speed of Blitzen as = 7x
x×15+3×7x=144
15x+21x=144
36x=144
x=4
∴ Speed of Blitzen = 28 miles per hour and Speed of Nikolas=4 miles per hour
Hence, The respective speeds of Blitzen and Nikolas are 28 miles per hour and 4 miles per hour.
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delivery times for online orders. the journal of marketing research (october 2019) published a study of delivery times for online orders. during a recent year, a major ap- parel retailer fulfilled all its online orders from a single dis- tribution center (dc) located in the eastern united states. later that year, the retailer opened a second dc located in the western united states, with the goal of reducing delivery times to western us customers. the researchers collected data on delivery times for a sample of online orders fulfilled by both the eastern and western us distri- bution centers for several western states. for the state of washington, the typical delivery time was 7 business days from the eastern dc and 5 business days from the western dc. for the state of montana, the typical delivery time was 7 business days from either of the distribution centers. a. what is the experimental unit for this study? b. identify the variables measured and their type (quantita- tive or qualitative). c. explain why this is an example of inferential statistics. what inference can you make?
Answer:
Step-by-step explanation:
a. What is the experimental unit for this study?
b. Identify the variables measured and their type (quantitative or qualitative).
c. Explain why this is an example of inferential statistics. What inference can you make?
A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest tenth. Using this equation, find the projected test grade,
to the nearest integer, for a student with a homework grade of 35
Homework Grade (x) Test Grade (y)
78
87
85
78
74
76
41
55
90
88
88
83
81
81
52
62
The projected test grade for a student with a homework grade of 35 is 47.74.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Homework Grade (x) Test Grade (y)
78 90
87 88
85 88
78 83
74 81
76 81
41 52
55 62
Let us find the slope m=62-52/55-41
=10/14=0.714
62=0.714(55)+b
b=22.75
Now let us find the projected test grade, to the nearest integer, for a student with a homework grade of 35 is 47.74
So y=0.714(35)+22.75
y=47.74
Hence, the projected test grade for a student with a homework grade of 35 is 47.74.
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In a 10% sale the price of a shirt reduced by $10.3.
Find the original price of the shirt.
Answer in dollars
34.33 is the original price of the shirt.
What does math mean by percentage?
A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. If we need to determine a percentage of a number, we should divide it by 100 and multiply the result.
Therefore, the percentage refers to a portion per hundred. Per 100 is what the word percentage signifies. The letter "%" stands for it.
Decrease in price = 10.3 - 10
= 0.3 %
Percentage decrease in price = 0.3/10.3 * 100 = 300/103
= 34.33
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When is minimal deception considered ethical in research? Select one
A. When you need to put limits on the study
B. Only when you have a control group
C. When there is no other way to achieve a specific research goal
D. Deception of any kind is never allowed
Option C is correct. When there is no other way to achieve a specific research goal minimal deception considered ethical in research.
When there is no other way to achieve a specific research goal. Minimal deception is considered ethical in research only when it is necessary to achieve a specific research goal, and there is no other way to achieve that goal without using deception. In these cases, the use of deception should be justified and minimized as much as possible.
Researchers should consider the potential harm to participants, and carefully weigh the potential benefits of the research against any potential harm.
Additionally, the use of deception should be disclosed to participants as soon as possible after the completion of the study, so that they can understand what has occurred and why. Overall, researchers should strive to be transparent and to minimize the use of deception whenever possible, and to use it only when it is necessary to achieve a specific research goal that cannot be accomplished through other means.
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