Write a formula representing the kinetic energy, K, is proportional to the square of velocity,

Q: The speed, v, of a skydiver in free fall is directly proportional to the time, t, in seconds of…

A: Given, the speed v of a skydiver in free fall is directly proportional to the time t in seconds of…

Q: Write an equation that expresses the statement. P is directly proportional to w.

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Q: Write an equation that expresses the statement. υ is inversely proportional to z.

A: Our Aim is to write and equation that expresses the statement u isinversely proportional to z.

Q: Write an equation that relates the quantities. P varies directly with the square of v. The constant…

A: Given problem:- Write an equation that relates the quantities.   P varies directly with the square…

Q: 2. Elena has some bottles of water that each hold 17 fluid ounces. a. Write an equation that relates…

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Q: a) In terms of x, what is the equation of the volume of the box?

A: Given figure, Given length of the figure =40 inch  width of the figure =20 inch

Q: Write a general formula to describe the variation. F varies inversely with d: F= 24 when d= 3

A: * To write a general formula to describe the    varriation. F varries invensly with d2 .…

Q: Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a…

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Q: Write an equation that expresses the statement. z  is proportional to the square root of y.

A: Given  z  is proportional to the square root of y

Q: Write an equation that expresses the statement. y is proportional to s and inversely proportional to…

A: y is proportional to s and inversely proportional to t.

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

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Q: Write an equation relating m, the number of milligram of the drug in the patient's body, and h, the…

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Q: Write a general formula to describe each variation. z varies directly with the sum of the squares of…

A: Given, z varies directly with the sum of the squares of x and y; z = 5 when x = 3 and y = 4…

Q: The volume of a cube decreases at a rate of 0.2 ft° / min. What is the rate of change of the side…

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Q: Ronald can read at a constant rate of p pages per minute. Which equation represents the relationship…

A: Ronal can read at a constant rate of p pages per minute.

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: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patlent…

A: A certain medicine is given in an amount proportional to a patient's body weight.Suppose a patient…

Q: A recipe says to use 2 teaspoons of vanilla to make 36 muffins. What is the constant of…

A: Given, y: no of muffins made. x: no of teaspoons of vanilla used. the constant of proportionality k…

Q: A(0, 270) 250 200 150 100 (1.5, 80) 50 0.5 1 1.5 2 2.5 h (hours since injection) m (mg of drug in…

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Q: . The formula v = /2gs represents the velocity (v) of an object that has fallen a distance of 5…

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Q: The weight, in pounds, of a type of small tree is directly proportional to the cube of its height…

A: We denote weight by 'w' and height by 'h'  As weight directly proportional to height  Thus w = kh…

Q: John started running at a speed of 10 kph.Three minutes later, Peter started running in the same…

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Q: Kelly's office recycled a total of 162 kilograms of paper over 9 weeks. After 12 weeks, how many…

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Q: Which one displays a proportional relationship?

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Q: A force, f, varies inversely with the square of the distance, d, from an object.

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Q: A. What is the markup rate in decimal form? uses a markup rate of 250%. equation y = kx. Write an…

A: According to our our guideline we are supposed to answer only the first 3 sub-part of the given…

Q: Write an equation that expresses the statement. A is jointly proportional to the square roots of x…

A: To write an equation that expresses the statement. A is jointly proportional to square roots of  x…

Q: The amount of water used to take a shower is directly proportional to the amount of time that the…

A:

Q: Write the equation that matches the following scenario: The stopping distance, d, in feet of a car…

A: If 'a' is directly proportional to 'b' it means that a∝b ⇒ a=kb ;where 'k' is the proportional…

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

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Q: The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed…

A: To find the speed of boat .

Q: The edges of a cube increase at a rate of 6 cm/s. How fast is the volume changing when the length of…

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Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: First, you drive 60 miles in 1 hour. Second, you drive 60 miles at 30 miles per hours that is the…

Q: Write a general formula to describe each variation. T varies jointly with the cube root of x and the…

A: Given: Write a general formula to describe each variation.T varies jointly with the cube root of x…

Q: The weight, in pounds, of a type of small tree is directly proportional to the cube of its height…

A: Soln Given(w) weight of tree is dired proportionalto cube of it,s height hw ∝ h3w = k h3…

Q: The volume of a cube decreases at a rate of 0.3 ft/min. What is the rate of change of the side…

A: Given: Volume of cube decreases at a 0.3ft3/min that is dVdt=0.3ft3/min side length is 7ft that is…

Q: Consider a ball thrown upward at 104 feet per second from a ledge 60 feet from the ground. If…

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Q: The volume of a cube decreases at a rate of 0.3 ft° / min. What is the rate of change of the side…

A: We can solve the given problem by using the concept given  below. If f(x) is the given function…

Q: The cost, $c, of laying floor tiles is directly proportional to the square of the area, a m2, to be…

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Q: Solve the problem. If A varies directly as the square of e, and A = 96 when e = 4, find A when e…

A: Given: A varies directly as the square of e

Q: TO Write an equation thất represents the distance (d) in meters that you could walk in t seconds if…

A: Follow the procedure given below.

Q: write a general formula to describe the variation  f varies inversely with d2, F=54 and d=9

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Q: Write an equation that expresses the statement. w is proportional to the product of  m and n.

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Q: Write a general formula to describe each variation. A varies directly with x2; A = 4π when x = 2

A: Here, we have to describe the general formula variation.  It is given that,  A varies directly with…

Q: Write the equation that matches the following scenario: The stopping distance, d, in feet of a car…

A: Given that.  The stopping distance d, in feet of a car is directly proportional to the square of its…

Q: Write an equation that expresses the statement. S is proportionalt to the product of the squares of…

A: To express the following statement in an equation S is proportional to the product of the squares of…

Q: LETTER D SOLVE USING VARIATION OF PARAMETER

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: Solution ) u = 40ft/ sec , s = 200ft We know from newton law  v = u + gt  When we throw and stone…

Q: Write an equation that expresses the statement. V is proportionalt to the product of l, w and h.

A: To write an equation that expresses the statement: V is proportional to the product of l, w and h.…

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.