Solve each of the following problems. If y is inversely proportional to the square root of x, and if y = 0.08 when x = 225, find y when x = 625.

Q: Solve for the value of y as described in the following problem. y varies directly as the square of x…

A: topic- ratio and proportion

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: As h approaches 0, what value is approached by 1/2 + h - 1/2 h?

A: As h approaches 0, we have to find the limit of: 12+h-12h

Q: Solve each of the following problems. The volume of a gas at a constant temperature varies inversely…

A: Let V be the volume of the gas and P be the pressure of a gas at constant temperature. It is given…

Q: Solve each of the following problems. If y is directly proportional to x and inversely proportional…

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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: 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: Solve the following problems completely. 1. Abody temperature of 60° F is placed in an oven whose…

A: We need to find time.

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. The electrical resistance of a wire varies directly as its…

A: Let the resistance, length and diameter be R, l and d respectively. R varies directly with l this…

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: If N is the average number of species found on an island and A is the area of the island,…

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Q: Solve each of the following problems. The period (the time required for one complete oscillation) of…

A: Given: The period of a simple pendulum varies directly as the square root of its length. A pendulum…

Q: Suppose that y is inversely proportional to the 4th power of x, and that y=18 when x=7. What is y…

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Q: Solve the following problems. 2. At 1:00P.M, a thermometer reading is 70°F is taken outside where…

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Q: If y is inversely proportional to the square root of x and y is 2 when x is 9, what is when x is 4?

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Q: Solve the following problems. Show your complete solution. 1. If a car covers 15x² + 7x – 2) km in…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only 1 question .

Q: Solve for x accurate to three decimal places. 100e−2x = 35

A: We have to solve equation 100e-2x=35 Simplifying given equation, e-2x=35100e-2x=720 Taking logarithm…

Q: For a certain culture the equation Q(t) = Q0 e0.1t, where Q0 is an initial number of bacteria and t…

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Q: Solve each of the following problems. If y is directly proportional to x, and y = 42 when x = 28,…

A: Given- If y is directly proportional to x, and y=42, when x=28. To Find- The value of y when x=38.

Q: equation

A: Given: x=8 for y=14. To find: y when x=-4

Q: 2. The intensity at which an object is illuminated varies inversely as the square of its distance…

A: Let the intensity of the light be N and the distance from the light source be d.  Then we have that…

Q: The intensity of illumination falling on a surface from a given source of light is inversely…

A: We have given intencity of illumiantion I falling on a surface from a given source of light is…

Q: Given that h is inversely proportional to x and the fact that h = 15 when x = 21, determine the…

A: Given h is inversely proportional to x. So, h∝1x. i.e. h=k1x Where k is constant.

Q: Answer the following problem. Show your complete solution. 3. The amount of gasoline used by a car…

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Q: If the rate of change of Q is inversely proportional to Q (where Q > 0), and if Q(0) = 250 and Q(2)…

A: Given rate of change of Q is inversely proportional to Q. We need to find the proportionality…

Q: Solve each of the following problems. The volume of a cylinder varies jointly as its altitude and…

A: For getting a variation equation following things should be kept in mind. For a variable C to vary…

Q: If y is inversely proportional to the square of x, and y = 4 when x = 3, find y when x = 6.

A: Given, If y is inversely proportional to the square of x, and y = 4 when x = 3

Q: Suppose that y varies inversely as the square of x, and that y=7 when x=10 What is y when x=19?…

A: y varies inversely as the square of x, and that y=7 when x=10 We need to calculate  What is y when…

Q: Solve each of the following problems. The simple interest earned by a certain amount of money varies…

A: Let I be the simple interest earned, r be the rate of interest and t (in years) be the time. The…

Q: The mass of a spherical solid is inversely proportional as its density and the cube of its…

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Q: Suppose that the current I (amperes) in an electrical circuit is related to the voltage V (volts)…

A: Initially V=24 volt and R= 100 ohm So, I=V/R= 24/100 = 0.24 amperes  Later V=23 volts and r= 80 ohm…

Q: Find a when d is 9.

A: Given: The variable 'a' varies directly with the square of 'b' The variable 'b' varies inversely…

Q: For a substance C, the time rate of conversion is proportional to the square of the amount of…

A: Given: For substance C, the time rate of conversion is proportional to the square of the amount of…

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: Solve each of the following problems. The time required for a car to travel a certain distance…

A: Suppose that the time required for a car to travel a certain distance is t and the rate at which it…

Q: Answer the following as detailed as possible. 1. If the growth rate of a culture of bacteria is…

A: Let P is initial population of Bacterial, A is present population of bacteria in time t, We know…

Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: The illumination of an object by a light source is directly proportional to the strength of the…

Q: Solve each of the following problems. The period (the time required for one complete oscillation) of…

A: For a given variation problem, the variation equation can be written keeping following things in…

Q: he value of A is inversely proportional to the sum of B and C, and A is 4, B is 8 and c is 2, what…

A: Simply fallow the algebraic rule of numbers

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: If Y varies inversely as the square root of X, what happens to Y if X is decreased in the ratio…

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Q: Solve each of the following problems. The distance that a freely falling body falls varies directly…

A: Let -Distance = dTime = tAccording to question - Distance varies directly as the square of the…

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: It is a fundamental law of Physics that the force the Earth exerts on an object varies inversely as…

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Q: If y varies inversely as the square root of x and y=1 and x=25, find y when x=16 Attach Cile

A: Given, y ∝ 1x So , y = kx  ;       (where k is the constant of proportionality)      when  y  =1…

Q: What is the value of d if "d varies inversely with the square of= when k-2, and z-10"?

A: Given that: d varies inversely with the square of z.When k=2, z=10

Q: Suppose  c  is inversely proportional to the square of  d. If  c=8  when  d=2⁢, find the constant of…

A: Given, c is inversely proportional to the square of d.

Q: The time, t, it takes a runner to cover a specified distance is inversely proportional to 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.