Answered: 26. Solve for the constant of variation…

26. Solve for the constant of variation k: The variable w varies jointly as y and the square root of x, and inversely as z. The value of w is 7.2 when x is 4, y is 6, and z is 7.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.5: Multiplication With The Addition-or-subtraction Method

Problem 9MRE

See similar textbooks

Related questions

Q: If x varies directly as y, and x=12 when y=8, then which of the following represents x when y = 12?

A: Given: x varies directly as y

Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x and…

A: Given that, y varies directly as x and inversely as the square of z so, Where k=constant

Q: (a-)" is equal to (B) a mn (C) a -m-n (A) (D) -d

Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

Q: From the table below, find Bo , B, & show the best equation of the linear n estimate amount (Y) if…

A: Excel Procedure: Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y under…

Q: . If S varies inversely as the square root of T andS = 4 when T = 4, what is S when T = 16?

A: Given that, S varies inversely as the square root of T. S α 1TS=kT k is proportanility constant…

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: If a is directly proportional to b and if a = 30 when b = 21, what is the value of a when b = 10…

A: Question number 30,Given, a is directly proportional to b and a=30 whne b=21. Also when…

Q: What is the value of d if "d varies jointly with x and z, when k-5, -2, and z-10"?

Q: find the constant of variation k for the stated condition. A varies directly as the square of r,…

A: A varies directly as the square of r, Hence, A = kr2

Q: b) Suppose the price of x1 increases to $2. What is the compensating variation? In other words, how…

A: Answer:-----. Date:----28/09/2021

Q: 20. Ify varies directly as x, and if y = 52 when x = 4, find y when x = 9. 21. If y varies jointly…

Q: The distance, s, that a body falls from rest varies directly as the square of the time, t, of the…

A: Given: (k is a constant used to remove the proportionality sign) When s=64 feet and t= 2s value of…

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: The revenue R (in dollars) when the unit price is p dollars is given by R(p)=-4p2+4000p (a) To…

Q: Suppose a varies directly as 2b. (a) Express a in terms of k and b. (where k is the variation…

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

Q: Suppose M : for a e [0.5, oo) then the value of M is = max } Answer:

A: We will use the maximum values of the elementary functions to find the maximum values of the given…

Q: If s varies directly as the square of t, and s = 10, what is the constant of variation?

A: To determine the constant of variation from the given data

Q: 3. If m varies inversely as g, and m 16 when g = 9, find the value of m when g = 20.

A: Given situsation we use the formula m = k / g In first case we have, m = 16 and g = 9 then 16 = k…

Q: Given that x and yvary inversely and that y is 12 when x is 6, what is the constant of variation, k?…

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as m and the…

A: Write an equation that models the given statement.

Q: A culture of bacteria quadruples after 8 hours. (a) What proportion of the original number of…

Q: 3. Find the value of y for a given value of x, ify varies directly with If y= 2.52 when x 8.4, what…

A: Here, given that y varies directly with x. That is: y is proportional to x. To convert this into the…

Q: Suppose that y varies directly as the square root of x, and that y=38 when x=81. What is y when…

Q: The distance, d, that a rock falls when dropped fro a cliff varies directly as the square of time,…

Q: If y is directly proportional to x, and y = 56 when x = 6, what is the value of x when y = 84?

Q: m/l m/2 6. 8.

A: Here we find which angle is greater than other angle.

Q: find the constant of variation k p is inversely proportional to q. when q is 8, p is 20

A: Given that p is inversely proportional to q. That is, p = (k/q).Given that, the value of p is 20 and…

Q: Use the given values of k and n to complete the table for the direct variation model y = kx". k = 8,…

A: Table values

Q: 7. If y varies inversely as the square root of x, what is the constant of proportionality if y = 16…

Q: Find the constant of variation k and the undetermined value in the table if y is directly…

A: a) Given that, y is directly proportional to x. That is, y∝xy=kx where k is the constant of…

Q: What is the correct translation of the statement "m varies directly to a" if k is the constant…

A: a is directly proportional to b means a∝b a is inversely proportional to b means a∝1b If k be the…

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

Q: Find the value of x and mÕE, 3x (5x-34)° ore

A: Given : ∠OLE=3x∠OVE=5x-34 To find : m(OE⏜) and value of x. Note : In a circle any two inscribed…

Q: 43 25. If x varies inversely as y and x = 6 when y = 3, what is y when x is 9? %3D a. 6 b. 2 с. 4 d.…

Q: 9. If ATLY ~ ACHK, find the value of x. .C 10 25 H K x+5 L 4x-1 Y

A: From the given figure, Triangle “TLY” and triangle “CHK” are similar,

Q: 0.5 0.3 0.4

A: Q2 We have to find the value of h

Q: 22. The distance D that a spring is stretched by a hanging object varies directly as the weight W of…

A: Answer :- The distance D that a spring is stretched by a hanging object varies directly as the…

Q: Q9. The value of the 'coefficient of determination' (2²) ranges from a) 0 to 1 b) -1 to 0 c) -1 to…

A: Given that The value of the "coefficient of determination" (r2) ranges from Coefficient of…

Q: The value in dollars, v(x), of a certain car after x years is represented by the equation…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 33. Ify varies inversely as x and y =8 when x = 2, which is the correct way to solve for the…

A: In this question we have to find form of constant variation.

Q: d) Solve the following I. If g(x) = Vx – 4 and h(x) = x³ + 4, find (hog)(x)

Q: Šolve the variation problem. y varies directly as x.y = 45 when x = 5. Find y when x = 13. 13 O 225…

A: Solve

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as a and b and…

A: Since y varies directly as a and b and inversely as the square root of c, the equation is…

Q: variable a is jointly proportional to b and the square of c. If a=284 when b=5 and c=6, what is the…

Q: 3. If d=rt, where d is distance, r is rate, and t is time, how long, in hours, will it take Derron…

A: 1. Given distance (d)=180 miles Given Average rate r=45 miles per hour. Substitute d=180 and r=45…

Q: LI 5. What is the constant of variation for the table of values? x y -4-7 0 1 2 5 4 9

Q: A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius…

Q: Given that x and yvary inversely and that y is 24 when x is 8, what is the constant of variation, k?…

Question

26. Solve for the constant of variation k: The variable w varies
jointly as y and the square root of x, and inversely as z. The
value of w is 7.2 when x is 4, y is 6, and z is 7.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.
A quantity y varies inversely with the square of x. If y=8whenx=3 , find y when x is 4.
Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. A 312 inch diameter high-speed steel cutter, running at 55 rpm, is used to rough mill a steel casting. What is the Cutting speed?