What's the answer to this problem?  Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.  T varies inversely as f.

Q: The quantity a varies directly with d and inversely with b and c when d=12, b=5 and c=8, a = -3.…

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Q: The pressure, P, (in kilopascals), volume, V, (in cm³), Related rates question: and temperature, T,…

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Q: Solve each of the following problems. If y is inversely proportional to x, and y = 1/9 when x = 12,…

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Q: If Amber is paid $9 per hour for typing, the table shows how much she earns. 3. 2 59 $18 $27 S36 S45…

A: Since it is given that  for every hour Amer earn 9 dollar then we have a function that relate  y=9x…

Q: The weight, M, of an astronaut on the moon is directly proportional to the weight, E, on Earth. An…

A: Weight on moon will be 12 Kg.

Q: Solve each of the following problems. The volume (V) of a gas varies directly as the temperature (T…

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Q: Solve each of the following problems. If y is inversely proportional to x, and y = 1/35 when x = 14,…

A: Since, it is given that y is inversely proportional to x.Then, y∝1x⇒y=ax-(i), where a is…

Q: Y varies directly with z and the constant of variation is -5. What is the value of y when z = 2?…

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Q: The distance traveled by a bus varies directly with the weather. The bus traveled 240 km in 3 hours.…

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Q: varies directly as g and inversely as r?. s jointly proportional to the square of x and the cube of…

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Q: 52. If w is inversely proportional to the square of v and w - 36 when v as a function of v - 5,…

A: Given that w is inversly proportional to square of v.That is,

Q: Q1. In a study of Bacterial Growth, it is assumed that, a culture initially has Po number of 5…

A: The formula for exponential growth or decay is given by the expression: At = A0ekt Here, A(t) is…

Q: Given that y is inversely proportional to x and the fact that y = 23 when x = 15, determine the…

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Q: If g is proportional to h and the constant of variation is 22, what is the value of g when h=11?

A: Given: g is proportional to h. Constant of variation is 22. The objective is to find the value of…

Q: The water temperature in the ocean varies inversely with the depth of the water. The deeper a person…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A is directly proportional to x and inversely proportional to y. If A=20 when x=6 and y=9, what is…

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Q: Find the mathematical model for the following statement. Remember to use k as the constant of…

A: topic - algebraic expressions

Q: Under certain conditions, tsunami waves encountering land will develop into bores. A bore is a surge…

A: (a) Given that, the velocity of the tip of the bore is V=kh0.5. Let h be the initial height and V be…

Q: When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received…

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: Assume that r varies directly as P. what is the constant of proportionality if R equals three when P…

A: Given r varies directly as p . we find the constantof proportionality if r ⊂ 3 and p=15

Q: Find the mathematical model for the following statement. Remember to use k as the constant of…

A: To write the mathematical model of the given condition

Q: 15. The speed r of a moving object is inversely proportional to the time travelled is written as…

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Q: b

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Q: b.) What is the constant of proportionality? c.) Write and equation that relates the amount of snow…

A: b) 4 inches of snow in 2 hours. 2 hours→4 inches of sbow1 hour→2 inches of snow⇒2 is the constant of…

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

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Q: The volume of a box (V) varies directly with its length (). If the box has a volume of 360 cubic…

A: Volume ×length   v×l

Q: The number of hours is ,N, required to dig a certain hole is inversely proportional to the number of…

A: according to question relation between the number of hours(N) and the number of people (x) N1/N2=…

Q: Suppose that y varies inversely as the square of x, and that y=2 when x=5 . What is y when x=17

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Q: The time traveled, t is the inversely proportional to the rate, r, traveled, and the constant of…

A: Given that the time taken to travel is inversely proportional the rate. Let t denotes the time taken…

Q: Suppose y is inversely proportional to x. Explain what happens to y if: a x is doubled b x is…

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Q: On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation…

A: Given that  F=V/(22+0.03V^2) To fidn the speed will maximize the flow rate

Q: The population of bacteria is directly proportional to the temperature. There are about 10 million…

A: The population of bacteria is directly proportional to the temperature it means number of bacteria…

Q: X and Y are inversely proportional with each other. Given that X = 15000 when Y = 162500. Find X…

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Q: Solve each of the following problems. If y is directly proportional to x, and y = 36 when x = 48,…

A: y∝xy=kxWhen value ofx=48 and y=3636=k(48)k=3648=34

Q: The number of views on a social media video, v, is jointly related to the number of followers, f,…

A: To rearrange the equation to isolate f ,  Given : V = kfd

Q: Under certain conditions, tsunami waves encountering land will develop into bores. A bore is a surge…

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Q: 1. The weight P in pounds that a beam can safely carry is inversely proportional to the distance D…

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Q: Can you solve the problem?  y varies directly as the cube of x and inversely as the fourth power…

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Q: b. f(x) = e*; find gʻ(e³)

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Q: The time t required to drive a fixed distance varies inversely as the speed r. It takes 7hr at a…

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Q: Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32…

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Q: 2 The value of y is inversely proportional to z. If y is 3 when x is 15, find the value of x when y…

A: Given  y is inversely proportional to x And y = 3 when x = 15 To find value of x  when y= 5

Q: (a) If M is inversely proportional to 7√t and M = 161 when t = 16, find an equation to represent…

A: M is inversely proportional to 7√t

Q: There is a proportional relationship between th the amount of juice (in ounces) he makes, y. x…

A: According to the given information it is required to find the constant of proportionality from the…

Q: N is inversely proportional to the square of x when x=2, N=50. What is N when x=5?

A: The term y is inversely proportional to x means that when the value of x increases the value of y…

Q: Tom works for a constant hourly wage of w dollars. Which choice shows the correct relationship…

A: Tom's total earning of the week = e total no of work hours = h wage per hour = w

Q: The population of a small island is growing at a rate that is proportional to its size. In 2016, the…

A: Given :                   P0 = 1400P1 = 1600

Q: 8. 7. 6. 4. 3. sn

A: 8  First co-ordinate of graph is a,b=0,0 Second co-ordinate of graph is c,d=2,1 The expression for…

Q: If y varies directly with the square root of x and inversely with z, what is the constant of…

A: Given that, y varies directly with the square root of x and inversely with z. y α xz y=kxz…

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.