The formula T = 2π√(L/32) is used for pendulum motion, where T represents the period of the pendulum in seconds, and L represents the length of the pendulum in feet. Find the length of a pendulum, to the nearest tenth of a foot, if the period is 2.4 seconds.

Q: The intensity of light I through a lake at a depth of x meters is given by the following formula. dl…

A: topic- differential equations

Q: The power output P (in watts) of a satellite is given by the formula P(t)= 100e-t/350 , where t is…

A: Given: The power output P (in watts) of a satellite is given by the formula P(t)= 100e-t/350 where t…

Q: The current I (in amps), the power P (in watts), and the resistance R (in ohms) are related by the…

A: We are given a relationship between Current I (in amps), Power P (in watt) and resistance R (in…

Q: Solve the equation to four decimal places. ex = 2.873

A: Here we have to find the values of x.

Q: Recall the formula for calculating the magnitude of an earthquake, M=2/3log(S/S0).  . One earthquake…

A: Magnitude of an earthquake , M=23log SSuMagnitude of first earthquake=3.923log SSo=3.9 -1

Q: Solve the formula for the indicated variable.P= I to the second power R (for R)

A: We have given,

Q: Find the value of x. 15 14 (Round to the nearest degree as needed.) A.

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Q: Find the solution of the equation correct to four decimal places. e1+ 4x = 160

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Q: Solve for x accurate to three decimal places. eln 3x = 24

A: Given: The function is

Q: x" + 10x' + 41x = 0, Solve the above IVP and put x(0.5) calculated to the nearest thousandth (3…

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Q: Solve the given formula for the specified variable. f = 5gh for h

A: To solve the given formula for 'h' Given  f=5gh

Q: The intensity of light I through a lake at a depth of x meters is given by the following formula. dl…

A:

Q: Solve the following equation for the unknown. Rounded to 2 decimal places: 9.1x2-94=0

A: Simplification

Q: Solve the following equation. Give the exact value with a and a decimal approximation from your…

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Q: The power output P (in watts) of a satellite is given by the formula P(t)= 50e-t/250 , where t is…

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Q: The median height of boys less than 5 years old can be estimated using the formula H= 2.9/x + 20.1,…

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Q: Use a calculator to find the solution of teh equation, rounded to six decimal places. 52x+1 = 34x-1

A: Consider a polynomial ab. It can be simplified using the logarithms. The logarithms has the…

Q: Solve for x. Round to the nearest tenth, if necessary. K 630 1 I

A: given,

Q: The population reaches 1.1 times its previous size in 2 years. This is represented by the formula:…

A: Given that the initial number of patrons= 570 This means P=initial value=570 So the formula becomes…

Q: Use a calculator to find the solution of teh equation, rounded to six decimal places. e-15k = 10,000

A: Explanation: Given that,  e-15k=10000   Formula Used: logbb=1 logac=cloga

Q: The height, h in metres of a Oak tree can be estimated from the formula h = 35d 3, where d in metres…

A: Given :h=35d23where d=3.1 m

Q: Solve the equations analytically and check graphically. 2100 = 10% (Round to the nearest thousandth…

A:

Q: The value of a car, in dollars, is depreciating according to the formula v = 35,000(3.21)-.06x where…

A: Given, v=35,0003.21-0.6x Here we have, t=3+12=72=3.5 years

Q: The number of milligrams of a radioactive substance present after t years is given by the following…

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Q: The percentage P of doctors who prescribe a certain new medicine is P(t) = 100(1 – e-0.71) %3D How…

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Q: Solve for x. Round to the nearest tenth of a degree, if necessary. 3.9 8.5 Q

A: The given triangle has SR=3.9, SQ=8.5 and ∠S=x°

Q: Use a calculator to find the solution of teh equation, rounded to six decimal places. 23x-5 = 7

A: To solve the equation: 23x-5=7 Solution: Taking logarithm on both sides of equation.…

Q: QUESTION 7 Solve for x: 42x-1 = 20. Round your answer to the nearest hundredths. %3D

A:

Q: When an object is dropped from a height of h feet, the time it will take to hit the ground can be…

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Q: Solve for x in the following equation: x + 4x + 7x +10x + ... + 64 x= 1430 A) 2 В 3 4 D) 1

A: option A is true.

Q: Ignoring wind resistance, the distance d(t) in feet that a parachutist falls in t seconds can be…

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Q: Solve  formula for the specified variable. T = D + pm for p

A: The given equation is T=D+pm

Q: Solve for g. E=8gh olo

A:

Q: The total amount of money in an account with P dollars invested in it is given by the formula A = P+…

A: use the formula for findng the amount.

Q: Solve d= rt for t, when d=165mi and r =55mph. What is t in hours.

A: To Solve d= rt for t, when d=165mi and r =55mph.

Q: Residents of the town of Windy Grove who are connected to the water supply are billed a fix amount…

A: Cost of using 1000 cubic feet water plus a fix amount = 35 $Cost of using 1600 cubix feet water plus…

Q: Maeve and Otis live 14 miles from each other. They decide to meet together somewhere in between…

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Q: A ball is projected from the ground into the air with an initial velocity of 80 ft/sec. How many…

A: The height of the ball is given by the equation:h=80t-16t2We need to find the time to be taken for…

Q: Solve for the specified variable,  L=E (Ar + n), for A

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Q: 7.806E +24.370 6.853E - 0.1064 11.876 0.8215

A:

Q: The formula occurs in the indicated application. Solve for the specified variable.

A: F=gmMd2

Q: Use the formula for the area of a circle to calculate  ∫-4-11 square root of 49-(x+4)2 dx. If…

A: We have to find definite integral in terms of area .

Q: Solve the  formula for the indicated variable. Chemistry PV = nRT for T

A: To solve: The equation PV=nRT for T. Calculation: Divide nR to both side of equation PV=nRT.…

Q: Suppose the Ferris wheel has been turning for t seconds, with 0 < t< 10. Represent the platform's…

A: The solution of above question is solved below.

Q: Set up an equation and solve for x. 3x + 1 8 Q Zoom Enter Answer Here 4x +1

A:

Q: If a ball is thrown into the air with a velocity of 58 f'/sec , its height (in feet) af ter t…

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Q: The formula S= 16t^2 is used to approximate the distance S, in feet, that an object falls freely…

A: To touch the ground the object must cover 1189 feet  So, S= 1189

Q: The number of grams of a certain Radioactive substance present at time t is given by the formula…

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Q: Solve the formula for the specified variable. A =P+ Prt for r A 1 r= pt t

A: Given that, A=P+Prt We have to solve it for 'r' As we know that, Solving for 'r' means we have to…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.