he equation H=75sin(0.068t−1.56)+76H=75sin(0.068t-1.56)+76 represents the turning of a Ferris wheel.  The t represents the time (in seconds) and H is the height (in meters).  From the equation answer the following questions What is the radius of the Ferris wheel? How high is the bottom of the Ferris wheel from the ground?

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A:

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Q: An airplane flies the 3000-mi distance from Los Angeles to New York, with a tailwind, in 5 hr. The…

A: The solution of the problem is given in the next step.

Q: Aaden is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 37.65 meters.…

A: We have to use properties of unitary method to solve the problem

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P= 14.7e where x is…

A: Given that atmospheric pressure P in pounds per square inch is represented by P=14.7e-0.21x where x…

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A:

Q: Solve  formula for the specified variable.C = 2π r for r

A:

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e−0.21x, where…

A: The given function of pressure is  P = 14.7e-0.21x

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

A:

Q: Solve for x. 2 2x + 56 I + 8 I + 3 r2 + 11r + 24 ||

A: Given :           xx+8+2x+3=2x+56x2+11x+24

Q: The equation y = -0.3x + 13 represents the height, y, in inches of a candle x hours after burning.…

A:

Q: Solve for the value of x. *Show your work on paper to make sure you do not m 8x 60

A:

Q: Solve for the specified variable.

A: We have to solve the equation for r: A=2πrr+h Rewriting the equation,…

Q: Solve for r: 2" = 47 You may enter the exact value or round to 4 decimal places.

A:

Q: An object is thrown upward at a speed of 170 feet per second by a machine from a height of 19 feet…

A: Please see the explanation below

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: A falling object travels a distance given by the formula d = 4t + 16t2, where t is measured in…

A: Given distance= d= 72 ft We have to find time=t for that d=72

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: Nicole is 1.55 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 30.05…

A: Let distance from the tip of the shadow of the tree to where Nicole standsbe denoted by…

Q: A ball is thrown vertically upward from the top of a building 50 feet tall with an initial velocity…

A: Consider the given equation. −16t2+80t+50=114 Simplify the equation.…

Q: A falling object travels a distance given by the formula  d = 4t + 16t2,  where t is measured in…

A: Solve the following

Q: 3. Solve the equation cosh 2x + cosh x = 5 , giving x to three dec. places.

A: We have to find value of x for given Equation.

Q: An object is thrown upward at a speed of 99 feet per second by a machine from a height of 7 feet off…

A: The height of the object after t sec is given by the function Initial speed of an object  =99…

Q: Solve for æ. Round to the nearest tenth of a degree, necessary. if I 9.1 4.6 H.

A: Given:  To Find: To solve for x.

Q: The height of an object tossed upward with the initial velocity of 120 ft./s is given the formula H=…

A: To determine: The time required for the object to return to its point of departure, where the height…

Q: Below are the steps Gus uses to solve a radical equation. In which step does Gus make an error?…

A: The equation is given as 4x+5=x2-1 Squaring the both sides 4x+52=x2-124x+52=x2-1

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

A:

Q: a falling object travels a distance given by the formula d=2t+16t^2, where t is measured in seconds…

A: The formula for a falling object travels is given by d=2t+16t2where t is measured in second and d in…

Q: The height (h), in feet, of a balloon is calculated by using the equation h = 3t +2 wheret is time,…

A:

Q: Solve for X (length of BC) when the length of AB is and the length of AC is 3.7 inches 28.2 inches A…

A:

Q: A ball is thrown vertically upward from the top of a building 50 feet tall with an initial velocity…

A:

Q: Solve for the missing variable in the formula.  d=rt (distance formula); d= 84, t= 28 r= ?

A:

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

A:

Q: 27* = 9r+x

A: Given : 27x=9x2+x

Q: The height h, in feet, of a ball t seconds after being thrown from a height of 6 ft is given by the…

A: The height of a ball is given by ht=-16t2+32t+6. In order to find the time at which the ball reached…

Q: Solve for æ. Round to the nearest tenth of a degree, if necessary. 3-9 R 8.5

A: This question is related to trignometry, We will solve it using given information.

Q: Solve the following equation for l. A = 2πr + πrl. Explain each step.

A: A = 2πr + πrl. We transfer 2πr to the left.  Hence πrl = A - 2πr

Q: Solve equation  for the specified variable. T= C (2 + AB) ; for B

A: Given,

Q: Solve for x. Equation is as follows. x=(5x+36)½

A: Introduction :

Q: 4 The height, h, of an ball that is thrown st upward from an initial position 3 feet off ground with…

A: It is given that, the height h of a ball that is thrown straight upward from an initial position 3…

Q: A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on…

A:

Q: Jamar is building a doghouse with the front of the roof shaped like an isosceles triangle. Angles in…

A: Isosceles triangle: The base angles are equal i.e,    The sides opposite to the base angle are…

Q: Solve for æ. Round to the nearest tenth of a degree, if necessary. 3-9 R x° 8.5

A: solving the question by trigonometric functions cos x = base/hypotenuse

Q: The height of a telephone line is given by the equation h + 60, where h is the height of 6. %3D the…

A: Given that:      Equation of telephone line:             h=x26+60Height of cable at Pole = 220 ft

Q: A variable voltage is given by the formula v=t^2 -14 +48, where t is measured in seconds. At what…

A:

Q: Two​ hikers, Sonia and​ Tony, leave the same point at the same time. Sonia walks due east at the…

A: Given, Speed of Sonia = 4 miles/hr Speed of Tony = 3.2 miles/hr O = Starting Point Let, Sp =…

Q: Solve the given equation for x. 32x - 2 = 37 'ou may enter the exact value or round to 4 decimal…

A: Topic:- algebra

Q: The perimeter of a rectangle is determined by the equation P = 2L + 2W, where P is the perimeter, L…

A:

Q: Put the steps for solving the formula for the number of periods, mt, PMT(1+r/m)t-1) (r/m) FV =

A: The formula FV=PMT1+rnmt-1rm. We have to solve this formula for mt.

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.