For Exercises 21-28, y varies jointly as x and z. Write the appropriate joint-variation equation, and find y for the given values of x and z. 21. y=-108 when x=-4 and z 3; x 6 and z=-2

Q: How do you interpret a coefficient of determination, r, equal to 0.80? Answer: r = 0.80 can be…

A: Given,     The objective is to interpret the coefficient of determination.

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Q: y varies directly with x and y = 20.4 when x = 6, find the value of y when x = -5.

A: Given that y varies directly with x and y=20.4 when x=6.Our Aim is to find the value of y when x=-5.

Q: The table below shows the amount, y, remaining on a bus pass after x rides. Number of rides, x 048…

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Q: The variable z varies jointly as the second power of x and the third power of y. When x=2 and…

A: Given,            The variable z varies jointly as the second power of x and the third power of y.…

Q: 20.Which of the following is the value of y as y varies directly as x and k=2 and x = 10?

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Q: 25. Write a variation model using k as the constant of variation: Energy E varies directly as the…

A: Given that energy E varies directly as the square of the velocity v of the wind, that is, E∝v2E=kv2…

Q: 2.The equation of C3 can be expressed as z=p+qi+ce^iθ, where θ varies from mπ to nπ. What is the…

A: Given: A semicircular path from 0,0 to 2,2 denoted by C3. The equation of C3 can be expressed as…

Q: A crane is lifting a concrete slab from a platform at a constant rate and delivering it to the top…

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Q: can you solve this? y varies directly as x. if y =10 when x = 4. What is the constant of…

A: Solution of the problem as follows

Q: The table below shows the amount, y, remaining on a bus pass after x rides.   Number of rides, x 0…

A: here  y ;  amount remaining on a bus pass after x rides.  x ;  number of rides  x 0 4 12 16 y…

Q: The scatterplot shows the relationship between Marvin's age and the time it took him to run a mile.…

A: To determine the correct option.

Q: The model y = 1.8x – 76.9 represents the relationship between the temperature (°F) and the number of…

A: The given equation is  y= 1.8x-76.9  We have to find the value of x when y= 95

Q: 12. Write the equation that represents the relationship between x and y. -4 -1 13 16 16 13 -1 -4

A: Given: x -4 -1 13 16 y 16 13 -1 -4

Q: 4.) A frain was traveling at a constant speed. The table below shows the distance, in miles, the…

A: Given a train was travelling at a constant speed. In 1 hour train travelled 95 miles, in 2 hours…

Q: For Exercises 29-34, z varies jointly as x and y and inversely a the appropriate combined-variation…

A: Given, if z varies jointly as x and y and inversely as w,

Q: Find a direct variation model that relates y and x. x = 3, y = 6?

A: Please refer the attached image for complete solution.

Q: Suppose the price p of bolts is related to the quantity q that is demanded by: p= 690 -6g 2 where g…

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Q: 2. A ball is thrown into the air with an initial velocity of 64 feet per second. The following…

A: Given,  The equation of  heighth of the ball with time t  h = 64t -16t2  and the graph between the h…

Q: 19.Which of the following is the equation representing the direct variation of the statement " The…

A: solution:-the cost c varies directly as the number Nc∝Nc=kNwhere k is proportionality constant

Q: 3.) The distance that a car can travel varies directly with the number of liters of gasoline in the…

A: There are 5 sub questions are given. We are asked to find the solution of 3rd and 4th. The solution…

Q: A researcher calculates the coefficient of determination r2 = 0.41. Which is the BEST statement…

A: Coefficient of determination r2, tells us how much variation in dependent variable is explained by…

Q: Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate…

A: The equation the person uses to calculate her fare is 1.80x+2.50 where x represents the number of…

Q: Michelle is studying the relationship between the hours worked (per week) and time spent reading…

A: It is given that the predicted number of minutes spent reading for a person who works 27 hours is…

Q: Suppose y varies directly as x and inversely as z. If y = 20 when x = 40 and z = 4, what is the…

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Q: Find the mathematical model that represents the statement.Determine the constant of proportionality.…

A: To convert a variation statement to a variation equation keep following in mind. If a variable C…

Q: 2. If y varies directly as x and y = 15 when x = 3, find the variation constant and the equation of…

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Q: y varies directly as x and y 32 when x is 4. Find the constant of variation n 128 b. 28 c.36 d. 8

A: Given that y varies directly with xLet the relation be y=kx where k is a constantGiven that y=32 and…

Q: Find a direct variation model that relates y and x. х%3 -32, у %3 4

A: Given that X=-32 and Y= 4. Find a direct variation modal that relates Y and X. Two quantity x and y…

Q: Elena and Jada were racing 100 meters on their bikes. Both racers started at the same time and rode…

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Q: An equation, shown below, represents the rates of three quantities 2 4, 3 z x'y IrX-, y-š. find the…

A: Given: 2z=4x+3yx=45y=65 To Find: z=?

Q: Which relationship has a negative rate of change? y y 10 18 -8 3 12 3 4. 11 18.6 4. 6. -3 -15 -21 12…

A: Rate of change = (y2 -y1)/(x2 - x2)

Q: There's a roughly linear relationship between the length of someone's femur (the long leg-bone in…

A: We have to emphasise the significance of 2.5 in the above equation.

Q: Which table contains only values that satisfy the equation y = 4x + 1? 6. 4 27 35 8. 43 A. 6. 17 25…

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Q: Consider the table of values. If y varies directly with x, the constant of variation is The equation…

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Q: What is the interpretation of r2 = 0.94? 94% of the data fits in the model 94% of the variation in…

A: R-square: R-square it is represents the variance for a dependent variable that is explained by an…

Q: At 12:00 P.M. the volume of water in a tank started changing steadily over time. The volume V…

A: We have from the equation that, The change of the volume is given by the equation  V = 7900 - 3.95t…

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Q: 4. In a direct variation relationship, find the constant of variation if y = 40 and x = 5. %3D O k =…

A: Given: y=40 & x=5 To determine: Constant of variation

Q: regression analysis between cost to build a clinic (in dollars) and clinic size (in square foot)…

A: Given that ; y=75+6x X represent clinic size  Y represent cost of a clinic build.  Bu using the…

Q: If a varies jointly with b squared and c, what is the constant of variation when a=32, b3D2 and c36?…

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Q: . Estimate the year when the value of the home will be $839,000. * The value of a home y (in…

A: y=251(1.09)t  given value is 839000 , since y is in thousandsy=839substituting in above…

Q: 5. The amount of money Aszir makes at his job is directly proportional to the number of hours Aszir…

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Q: Identify the constant of variation and equation for the direct variation. X -4 -13 12 39 -15 48 Ok =…

A: The table for x and y is given by

Q: In regression analysis, the coefficient of determination R2 measures the amount of variation in y…

A: Solution R2  is the coefficient of determination.

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Q: 7. When we model the temperature of a cooling liquid using the equation T = a(b)" +c, we have lear…

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Q: Let ‘R ’ stand for radiation exposure, ‘t ’ stand for length of time of exposure, ‘r ’ stand for…

A: For writing a Joint Variation Equation : Write the correct equation. Joint variation problems are…

Q: Write an equation that represents the relationship between the given variables. Usek as the…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.