find the constant of variation k for the stated condition.  A varies directly as the square of r, and A= 616 when r= 14   k=_______

Q: Use a variation model to solve for the unknown value. The body mass index (BMI) of an individual…

A: If a varies directly  as b, then it can be written that a∝b. If a varies inversely as b, then it can…

Q: An accepted relationship between stopping distance, d in feet, and the speed of a car, v in mph, is…

A: For this problem we have to use given equation.

Q: Substitute the value of k into the equation. k P = V Use the equation from step 1. 96 P = V Replace…

A: P=K/V

Q: Write a variation equation for the following statement (use k for the constant of proportionality):…

A: Explanation of the answer is as follows

Q: An object's velocity after t seconds is v(t) = 36 – 2t feet per second. (a) How many seconds does it…

A:

Q: The speed S (m/min) of an object is defined by S = 6t2 + 2t + 3 after t %3D minutes. For the first…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The period of a pendulum is given by the equation shown below, where L is the length of the pendulum…

A: Let's find.

Q: Express the statement as an equation. Use the given information to find the constant of…

A:

Q: An object's velocity after t seconds is u(t) = 26 – 2t feet per second. {a) How many seconds does it…

A:

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

A: We have to find y when a=5, b=5, c=4.

Q: An object's velocity after t seconds is v(t) = 38 – 2t feet per second. (a) How many seconds does it…

A:

Q: Substitute the value of k into the equation. s = kt? Use the equation from step 1. s = 16t2 Replace…

A: Given: s=kt2

Q: Use the given values to find k. We are told that 250 cubic centimeters of snow will melt to 28 cubic…

A: W=kSW=28 and S=250we have to find k

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A: Here, the given function is: y=sx3g2

Q: Police investigating traffic accidents use the fact that the speed, in miles per hour, of a car…

A:

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A:

Q: An accepted relationship between stopping distance, d in feet, and the speed of a car, v in mph, is…

A: For this problem, we can find d and v at any instant by using given equation.

Q: :: :: 614 The time t (in hours) it takes a group of workers to build a cabin varies inversely with…

A:

Q: An object's velocity after t seconds is v(t) = 40 – 2t feet per second. (a) How many seconds does it…

A: To find the distance traveled by the object over a certain amount of time, we need an equation for…

Q: The period of a pendulum is given by the equation shown below, where L is the length of the pendulum…

A:

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A: Let's find.

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

A:

Q: y 4 6.4 7 11.2 10 16 13 20.8 Determine whether y varies directly with x. If so, find the constant of…

A: Given: y varies directly with x      x     y      4    6.4      7    11.2      10     16…

Q: An accepted relationship between stopping distance, d in feet, and the speed of a car, v in mph, is…

A: We can found speed and no. Of feets at any instant by using given equation

Q: Express the statement as an equation. Use the given information to find the constant of…

A: Express the statement as an equation. Use the given information to find the constant of…

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: It is given that, x is directly proportional to square of y and inversely proportional to cube root…

Q: If an arrow is shot upward on the moon with a velocity of 58 m/s, its height (in meters) after t…

A: Given- An arrow is shot upward on the moon with a velocity of 58 m/s, the height attained by it in t…

Q: t If the velocity of a moving object is v(t) =——- 2/2 in meters per second, then what is its…

A: We know that velocity vt = dsdt, here s is the velocity.

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

A: Given that: y varies jointly as a and b and inversely as the square root of c.y=16 when a=4, b=4 and…

Q: An object's velocity after t seconds is v(t) = 32 – 2t feet per second. - (a) How many seconds does…

A:

Q: Use Newton's (or the Newton-Raphson) method and find p3 with po = 0 for f(x) = r3 – x? – a – 1 55 72…

A:

Q: far will it skid on wet tar?

A: Given: Police use the formula s=30fd to estimate the speed at which a car is travelling if skids d…

Q: te an equation that expresses the statement. (Use k as the constant of proportionality.) R is…

A:

Q: Find the variation constant described in each situation. If needed, round to two decimal places. j…

A:

Q: 15. Solve the equation below and find the variation constant, k 118 and z = 11, if y varies jointly…

A: We have to find the value of x and k.

Q: 7. The speed s (in miles per hour) of a car can be given by s=30fd where fi friction and dis the…

A: According to question given f=coefficient of friciton =0.30d=stopping distances=speed of a car=20…

Q: A woodchuck is spreading woodchips over his flowerbed.the area the woodchuck will cover is inversely…

A:

Q: E. The intensity I of light varies inversely as the square of the distance d from the light source.…

A: Given query is to find the change in intensi with distance.

Q: ? varies directly as ? and inversely as the square of ?. If ? = 30 when ? = 40 and ? = 2, a) Find…

A:

Q: Express the statement as an equation. Use the given information to find the constant of…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Write a variation equation for the following statement (use k for the constant of proportionality):…

A: variation equation of the given statements are--

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

A:

Q: Sky Diving The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 - e-0.2).…

A: Given velocity equation is: vt=801-e-0.2t We have to find the time when the velocity becomes 70…

Q: Jse the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

A:

Q: 8. The Intesity of Light I from a a light bulb varies inversely as the square of the distance d from…

A:

Q: Find the constant variation for each combined variation. Then find the value of the unknown…

A: Note: In the given expression there is no n variable which means it's a typing error and b…

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A: We have to find the value of constant variation. Then we can proceed further.

Q: A tank is discharging water through an orifice at a depth x (m) below the surface of water whose…

A: Introduction: Simpson's 1/3 rule is a tool to approximate the integration numerically. One of the…

Q: H varies directly as L. If H=12 when L is 60, determine H when L=20. a) Write the variation…

A: Given H varies directly as L

Q: 1. Write the equation of the following statements using k as a constant variation. a) The height (h)…

A:

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.