7. Is the relationship between the variables in the table a direct variation, an inverse variation,
both, or neither? If it is a direct or inverse variation, write a function to model it.
Answers
Answer: Inverse: y = 60/x
Step-by-step explanation:
Inverse, since y goes down as x goes up.
y=60/x is the only inverse function available, so do a quick calculation to see if (60/x) always equals the y value in the table:
x y y=60/x
2 30 30
5 12 12
12 5 5
20 3 3
y=60/x gives the correct values of y for each x.
Related Questions
Data were collected on the distance a hockey puck will travel when hit by a hockey stick at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in
yards. The regression line is given by 9 = 3.12 +61.02s.
Identify the slope and y-intercept of the regression line
Answers
The slope of the regression line is b=61.02 and y-intercept is a=3.12
What is meant by regression?Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the
Given,
The regression line is y=3.12+61.02 s
Here the slope is b=61.02
The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.
And the y-intercept is a=3.12
It is the distance estimated by this model if the speed is zero miles per hour.
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Solve for j. please help meee
Answers
Answer:
112 degrees
Step-by-step explanation:
Angle J and the other angle combines to form a straight angle. In other words, they must total 180 degrees. Thus:
\(68+j=180\)
Subtract 68 from both sides:
\(j=112\textdegree\)
And we're done!
Answer:
I believe the answer is 112 degrees
Step-by-step explanation:
If you know, a straight line hs 180 degrees. Well, then having this knowledge, make a simple equation x+68=180.
Then Solve the equation
x+68=180
-68 -68
x=112
Hope it helps!
a computer store manager buys several computers of the same model for $12,780. the store can regain this investment by selling all but 6 of the computers at a profit of $355 per computer. to do this, how many computers must be sold, and at what price
Answers
The manager must sell 30 computers at a selling price of approximately $710 per computer.
To determine how many computers need to be sold and at what price, let's break down the given information:
The store manager buys several computers of the same model for $12,780.
The store can regain this investment by selling all but 6 of the computers.
The profit per computer is $355.
First, let's calculate the total cost of the computers by subtracting the profit from the initial investment:
Total Cost = Initial Investment - Profit
Total Cost = $12,780 - ($355 × 6)
Total Cost = $12,780 - $2,130
Total Cost = $10,650
Now, let's calculate the number of computers that need to be sold to recover the investment:
Number of Computers to be Sold = Total Cost / Profit per Computer
Number of Computers to be Sold = $10,650 / $355
Number of Computers to be Sold ≈ 30
Therefore, the store manager needs to sell 30 computers to recover the investment.
Next, let's determine the selling price for each computer:
Selling Price per Computer = Cost per Computer + Profit per Computer
Selling Price per Computer = $10,650 / (30 - 6) + $355
Selling Price per Computer ≈ $355 + $355
Selling Price per Computer ≈ $710
Hence, to recover the investment, the manager must sell 30 computers at a selling price of approximately $710 per computer.
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Someone please help me out !!!!!!!
Answers
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\((9x + 17) + (3x + 7) = 180\)
\(12x + 24 = 180\)
Subtract sides 24
\(12x + 24 - 24 = 180 - 24\)
\(12x = 156\)
Divide sides by 12
\( \frac{12}{12} x = \frac{156}{12} \\ \)
\(x = 13\)
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Which property is shown in the problem below?
-8(x-3y-9)= -8x +24y+72
Answers
Answer:
Distributive Property
Step-by-step explanation:
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
Answers
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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In words, Explain how to factor a polynomial by grouping.
Answers
1) To factor a polynomial by grouping, let's take 2 examples and do it step by step
2) Consider this quadratic equation, let's factor x² + 7x +12 by grouping
x² +7x +12 =0 Which two numbers whose sum is 7 and whose product is 12
S =___ + ___ = 7 4 + 3
P = ___x ___ = 12 4x 3
Then we can rewrite 7x as 4x +3x
x² +4x +3x +12 = 0 Let's group these terms into two parentheses:
(x² +4x) +(3x +12)
Now let's write them as factors, the GCD outside the parentheses x, 4x and 3, 12
x(x +4) +3(x +4)
Since we have a repetition of the factor (x +4) we can write it as a product
(x+4) (x+3) = x² +7x +12
Another example:
x³ -2x² +5x -10 Group them into two parentheses
(x³-2x²) +(5x -10) Factor out the GCD x³, 2x² =x² and 5, 10 =5
x²(x-2) +5(x-2) Now let's write them as a factor, (x -2x) is common to both
(x²+5) (x -2)
(x²+5) (x -2) = x³ -2x² +5x -10
3) So, in words.
1. Rewrite the polynomial into two parentheses grouping the terms
2. Factor out the GCD of the terms, leaving it outside the parentheses
3. Rewrite it as a product writing the outside factors into parentheses and the common term.
Percy shuffles a standard $52$-card deck and starts turning over cards one at a time, stopping as soon as the first spade is revealed. What is the expected number of cards that Percy turns over before stopping (including the spade)
Answers
The expected number of cards Percy turns over before stopping = 3.78≈3
What is probability ?Probability refers to the chance of occurrence of an event E.
Let E be an event and P(E) be the probability of E occurring.
Then, P(E) = \(\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}\)
Now, given a 52-card deck; cards are turned over till a spade comes up.
Then, the number of cards turned over is the sum of all card over 'kth' card, having probability \(P_{k}\), where, the card 'k' comes up if no previous card was a spade.
=> \(P_{k}=\frac{\binom{39}{k}}{\binom{52}{k}} = \frac{39!(52-k)!}{52!(39-k)!}\)
\(\sum^{39}_{k=0} (P_{k})=\frac{39!}{52!} \sum^{39}_{k=0}(\frac{(52-k)!}{(39-k)!}=\frac{53}{14} = \frac{52+1}{13+1}=3.78\)
Hence, after 3.78≈3 cards, Percy will stop turning the cards.
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airplanes are detected by a radar as a poisson process with rate of 5 per hour. (a) what is the probability of detecting 12 airplanes in the next three hours?
Answers
The formula is \(P(X = k) = (e^(-λ) * λ^k) / k!\), where X is the random variable representing the number of airplanes, λ is the rate parameter (5 per hour in this case), and k is the number of airplanes we want to detect.
To find the probability of detecting 12 airplanes in the next three hours, we can use the Poisson distribution formula.
In this case, we want to find the probability of detecting 12 airplanes in the next three hours. Since the rate is given as 5 per hour, the rate for three hours will be 5 * 3 = 15.
Now, we can plug in these values into the formula:
\(P(X = 12) = (e^(-15) * 15^12) / 12!\)
Using a calculator, we can evaluate this expression:
\(P(X = 12) ≈ 0.072\), the probability of detecting 12 airplanes in the next three hours is approximately 0.072, or 7.2%.
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The bill for lunch was $7
Answers
Answer:
how much money did they have ?
Step-by-step explanation:
Answer:
dang thats alot .............
Find the value of x. Show your work on a piece of paper."
1)
3
12
х
20
Answers
At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
When we are computing a simple linear regression line, there are certain conditions that must be met for this model to be valid. One of these conditions is the equal spread condition. Which of these answers best explains how we check to make sure that this condition is met? a. Make sure there is similar spread around the sample mean of x. b. Make sure there is similar spread around the line at each value of x.
c. Make sure that there is similar spread around the sample mean of y. d. Make sure all outliers are only below the line.
Answers
The answers that best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.
How we check to make sure that this condition is met?The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.
To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.
Therefore the correct option is C.
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John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
Answers
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. true or false
Answers
The statement "When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication" is true because eliminating a loop-carried dependency that adds a constant simplifies the equation, but to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only
When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency adds a constant to the result of the previous iteration, which means that the current iteration's result is a function of both the current iteration's variables and the previous iteration's result.
By eliminating this dependency, we remove the need to use the previous iteration's result, which simplifies the equation. However, to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only, which often involves a multiplication. This is because multiplication is a fundamental mathematical operation that allows us to combine variables in a way that preserves their individual values.
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True. When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency is typically expressed as an addition, and removing it would result in a product of the loop index and the constant.
when eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the process often involves applying mathematical transformations that result in multiplications to simplify the loop and eliminate dependencies.
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PLZ SOMEONE HELP WITH THESE!!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
Answers
#4= -8
#5= 781
#6= 1.34×10(3) (Exponent)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,−1) and (8,7)
Answers
Answer: 11.31
Step-by-step explanation:
what is 921-588? im in fifth grade but its too hard for me
Answers
Answer:
333 use a calculator LOL
Select the equation that is the inverse of the given function.
f (x) =( x minus 3 Over 5)
Answers
Answer:
x+3/5
Step-by-step explanation:
f(x)=x-3/5
y=f(x) let
y=x-3/5
put x at y and y at x
then,
x=y-3/5
y=x+3/5
f(x) inverse is x+3/5
-2(-5 - 2) + (2)/(3)
Answers
Answer:
14 2/3 or 14.6 repeting
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Option A is correct:
x + 4 < 12
Step-by-step explanation:
The sum of x and 4 means addition:
x + 4
less than 12 means <:
x + 4 <12
Have a nice day!
Answer: A.) x + 4 < 12
Step-by-step explanation: With the process of elimination, there would only be two possible answers: (A. x + 4 < 12 and C. 4x < 12) because in the problem, it says less than. Since, x and 4 cannot mean 4x since that means multiplication, the only available answer would be A. x + 4 < 12).
the equation of a straight line is given as 3x+y=7. the slope of this line is
Answers
Answer:
The slope is -3 and the y intercept is 7
Step-by-step explanation:
3x+y = 7
We can write the equation in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -3x+7
The slope is -3 and the y intercept is 7
There are 65 children in the sixth grade. If the boys and girls are in the ratio of 8:5, what equation should be used to find the common factor of boys to girls?
Select the correct response:
1.) 8x + 5y + 65 = 100
2.) 8x + 5y = 65
3.) 8x + 5x + 65 = 100
4.) 8x + 5x = 65
Answers
Answer:
The answer is 2.) 8x + 5y = 65
Step-by-step explanation:
a- What are the different logs used to obtain porosity? Explain the principles of measurement, quantity measured and its relation to porosity. Illustrate with equations and/or sketches.
Answers
Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.
The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.
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Use the Euclidean algorithm to find ged(707, 413), and find integers s, t such that 707s + 413t = gcd (707,413). (b) Are there integers x, y such that 707x +413y = 9? If there are, give an example. If there are no such r, y, then prove it.
Answers
a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1
Thus, gcd (707,413) = 1.
We can find the coefficients s and t that solve the equation 707s + 413t
= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71
= - 12 · 56 + 6 · 119 - 71
= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71
= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71
= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71
Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.
b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.
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algebraic expression
Answers
Answer:
Whats the question?
Step-by-step explanation:
Sorry btw I need the points
If the transitive closure R* of the zero-one matrix MR is MR. = MR v MR² v MR3
Find the zero-one matrix of the transitive closure of the relation R where
1 0 0
MR = 0 1 1
1 0 1
Answers
The transitive closure of the given relation R is represented by the zero-one matrix:
1 1 1
1 1 1
1 1 1
Is there a matrix that represents the transitive closure of relation R?The transitive closure of a relation is the smallest transitive relation that contains the original relation. In this case, the given relation R can be represented as a zero-one matrix:
1 0 0
0 1 1
1 0 1
To find the transitive closure, we need to compute the matrix MR* by taking the union of MR, MR², and MR³, where MR² represents the composition of MR with itself, and MR³ represents the composition of MR² with MR.
The matrix MR² is obtained by multiplying the matrix MR with itself:
1 0 0 1 0 0 1 0 0
0 1 1 x 0 1 1 = 1 1 1
1 0 1 1 0 1 1 0 1
The matrix MR³ is obtained by multiplying the matrix MR² with the original matrix MR:
1 0 0 1 0 0 1 0 0 1 0 0
1 1 1 x 0 1 1 = 1 1 1 + 1 1 1 = 1 1 1
1 0 1 1 0 1 1 0 1 1 0 1
Taking the union of MR, MR², and MR³, we get the transitive closure matrix MR*:
1 0 0 1 0 0 1 0 0 1 0 0
0 1 1 v 1 1 1 v 1 1 1 = 1 1 1
1 0 1 1 0 1 1 0 1 1 0 1
Therefore, the zero-one matrix representing the transitive closure of relation R is
1 0 0
1 1 1
1 0 1
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52÷25
What is the answer :)
Answers
Answer:
2.08 this is answer
convert from standard form to slope intercept form
Answers
Answer:
its always C trush me on this one
Step-by-step explanation:
Answer:
Its y=-x-3
Step-by-step explanation:
x+y=-3
You would subtract the x to make it a y equals statement
y=-x-3
the -3 stays the same all thats different is the x which you will subtract over since its added to the y.
the quarter mile grounding rule for rural electric utilities for direct-buried jacketed distribution cables says that they must have at least ? grounds per mile, minimum.
Answers
The quarter mile grounding rule for rural electric utilities for direct-buried jacketed distribution cables says that they must have at least 4 grounds per mile.
A utility cooperative is a specific kind of cooperative that is responsible for providing its members with a public utility, such as power, water, or telecommunications. Profits are either distributed to members as "patronage" or "capital credits," which are dividends paid on a member's investment in the cooperative, or they are reinvested for infrastructure.
Every consumer is a shareholder and a member of the company. This means that, in contrast to investor-owned utilities where the amount of individual authority is determined by the number of shares held, all members have the same level of personal authority. Many utility cooperatives operate their business in accordance with a set of ideals based on the Rochdale Principles, just like cooperatives active in other industries.
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