The formula T=2πsqrt(L/32 can be used to find the period T, in seconds, of a pendulum of length L, in feet. What is the length of a pendulum that has a period of 3.8 seconds

Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

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Q: Solve for x, rounding to the nearest hundredth. 4e" = 1

A: Given,          4ex=1

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

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

Q: If k = 0.202, how long will it take a battery to reach a 20% charge? Assume that the battery was…

A: Given:               k=2.02

Q: Use the change-of-base formula to find the approximate value. 25x - 3(5x) = 0

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Q: Solve the equation 72x – 7* = 18 . Round-off answers to three decimal places.

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Q: How far would a car go in 4h at an average speed of 55mi/h?

A: The average speed of a car is 55mi/h.

Q: The formula A = 25.1e0.0187 models the population of Texas, A, in millions, t years after 2010. a.…

A: Given A=25.1 e0.0187 t where t are years after 2010

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

A: Simplification

Q: A study found that a student’s GPA, g, is related to the number of hours worked each week, h, by the…

A: g=-0.0006h2+0.015h+3.04 Put g=2.97 in g=-0.0006h2+0.015h+3.04, we get…

Q: At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order…

A: We have given the temperature of body was 84.2°F at 9:00 a.m. and 81.6°F at 11:00 a.m.

Q: A construction worker dropped a hammer while working on a skyscraper, 1496 feet above the ground.…

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Q: Solve for x: 92x – 7 = 410x – 10 x = You may enter the exact value or round to 4 decimal places.

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Q: The formula A = 25.1e0.0187t models the population of Texas, A, in millions, t years after 2010. a.…

A: given: A=25.1e0.0187t models the population of Texas,A, in millions, t years after 2010.

Q: The population P of a fish farm in t years is modeled by the equation  P(t) = 1500/1+9e-0.9t. To the…

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Q: If there are initially 3000 bacteria in a​ culture, and the number of bacteria doubles each​ hour,…

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Q: The formula y=2.7√x+9y models the percent of U.S. adults who are considered obese by federal…

A: An equation of the form ax+by=c, where, a, b and c are constants, gives a relation between two…

Q: The value of a car, in dollars, is depreciating according to the formula V = 35,000(2.79)-0.06t…

A: Four and one-half year is equal to 4.5 years . Hence, t=4.5 in this case .

Q: Elena has a saving account with $1,250. If she does not deposit or withdraw any money from the…

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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: Find the indicated value. 1. Solve for x. 55 (3x + 23) 75

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Q: The formula A = 261e0.024t models the population of a particular city, in thousands, t years after…

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Q: Solve for x. Round to the nearest ten-thousandth. 6X = 10 X =

A: Consider the given equation as, 6x=10 Apply log to both the sides of the equation as,…

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Considering the years as x-axis and and cars worth as y-axis. Let 2002 be 0. Therefore,the given…

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: A ball is dropped from a cliff that is 208 feet high. The distance S (in feet) that it falls in t…

A: A ball is dropped from a cliff that is 208 feet high. And the distance function is, Now the…

Q: The formula T = 2π√(L/32) is used for pendulum motion, where T represents the period of the pendulum…

A: T=2π L32

Q: A firework rocket is shot upward at a rate of 609 ft/sec. Use the formula h =-16t^ 2 +v 1 t to…

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Q: Solve formula for the specified variable. vt + gt2 = s for g

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Q: A boat can travel at a speed of 12k/h in still water. If it takes three hours to go 15km upstream…

A: A boat can travel at a speed of 12km/h in still water and it takes 3 hours to go 15km upstream and…

Q: From her bedroom window, a girl drops a water balloon to the ground 6.0 m below. If the balloon is…

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Q: Solve the formula for the specified value. P, = L+ -; f f =

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Q: Solve for L fo=

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

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Q: it takes a girl 45 minutes to deliver the papers on her route. if her brother helps, it takes only…

A: Given,A girl takes 45 minutes to deliver the papers on her route.Hence, her work rate is 1/45 per…

Q: Set up an equation and solve for x. 8 12 Q Zoom Enter Answer Here

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Q: Exponential Shift 3. (D – 4)³y = 16x²e**

A: Given differential equation is, D-43y=16x2e4x....1 Dividing the given equation by e4x to convert…

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

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Q: Use your formula to determine the 10 term.

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Q: Your deposit of $3000 is now worth $3500. If your money was invested at 6% interest, to the closest…

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Q: The period p of a pendulum, or the time it takes for the pendulum to make one complete swing, varies…

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Q: Solve the equation accurate to three decimal places. 54x 19

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

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Q: The population of South Carolina can be approximated using the formula y = 1.264e0.011lx, where x is…

A: This question related to exponent function.

Q: 7. (2x+5) 610 N m<L m<m

A: We have to find the angle

Q: If an object is shot upward with an initial velocity, vo, in feet per second (ft/s), the velocity,…

A: Given that if an object is shot upward with an initial velocity, v0, in feet per second (ft/s), the…

Q: A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as P =…

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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.