A Ferris wheel is 18 meters in diameter and boarded from a plataforma that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform.The wheel completes 1 full revolution in 6 minutes. The function h(t) gives a persons height in meters above the ground t minutes after the wheel begins to turn. Find a formula for the height h(t) as a function of time

Q: At the surface of the ocean, the water pressure is the same  as the air pressure above the water, 15…

A: Let the distance be measured from the surface of ocean. The distance be represented by variable h…

Q: 1. The population in thousands of people of a small town can be modeled by the function P(t) = x 2 -…

A:

Q: A lake near to Arctic is covered by a 4 meters thick sheet of ice during the cold winter months.…

A: Solution :-

Q: A nursery sells a certain shrub for $32 after 6 years of growth and shaping. The growth rate during…

A: The growth rate during the six years is modeled by h'(t)=1.5t+5 , where t is time in years and the…

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: An arrow is shot from 6 ft above the top of a hill with a vertical upward velocity of 104 ft/s. If…

A: Given query is to find height of the hill and the velocity equation.

Q: The function ​f(x)=1300x-100x2 represents the rate of flow of money in dollars per year. Assume a…

A:

Q: The water depth in a harbor is 18.5 m at high tide and 9.5 m at low tide and one tidal cycle is…

A:

Q: On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C…

A: The general form of the linear equation is, y=a+bx Where 'y' is the dependent variable, 'a' is the…

Q: In 1977 a math professor bought her condominium in Cambridge, Massachusetts, for $70,000. The value…

A: Let number of years after 1977 be t.In 1977 the initial amount of condominium is $70,000.The amount…

Q: 5. In the vicinity of a bonfire the temperature T (in °C)at a distance of x meters from the center…

A:

Q: A ball is thrown upward from a height of 1152 feet above the​ ground, with an initial velocity of 96…

A:

Q: The amount of a pollutant (measured as parts per million) in a local lake can be modeled by the…

A: ∗Given:-       Amount  of   pollutant,       At=14×2.71-0.016 t ‐‐‐i∗ To  find:-        Time  taken…

Q: A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the…

A:

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A: Given; The energy expenditure for animals swimming at the surface of water is y=f(x)=0.01 x0.88…

Q: The function f(x) = 1200 represents the rate of flow of money in dollars per year. Assume a 5-year…

A:

Q: During a flu epidemic in a city of 1,000,000, a flu vaccine sells in proportion to both the number…

A: Given: During a flu in a city of 1,000,000 a flu vaccine sells in proportion to both the numberof…

Q: A rocket sled having an initial speed of 139 mi/h is slowed by a channel of water. Assume that…

A:

Q: A rancher wants to use a fence as an enclosure for a rectangular cattle pen with area 1024 square…

A: Area= ( length ) * ( width ) 1024=l*w

Q: The population P of a small town grows according to the function P1t2= 100 e t>50, where t is the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: A ball is thrown upward from a height of 256 feet above the​ ground, with an initial velocity of 96…

A:

Q: An arrow is shot from 5 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If…

A:

Q: Nuclear energy derived from radioactive iso- topes can be used to supply power to space vehicles.…

A: Consider the given function. y=40e-0.004t Put t=180 in the above function.…

Q: An object is fired straight up from the earth’s surface at 200 feet per second. Its height s off the…

A:

Q: An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 114 ft/s. If…

A: We need to find how tall the hill is.

Q: A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 16 minutes. Assume that a…

A: topic -trigonometric functions

Q: A foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of…

A: The derivative of the object’s position gives the instantaneous velocity. The instantaneous velocity…

Q: Dougtown had a population of 4000 in 2010 and a population of 4400 in 2015. Find a formula for the…

A: Given data is :  Number of years since 2010  Population in 2010 is P0=4000 when t=0 Population in…

Q: An arrow is shot from 6 ft above the top of a hill with a vertical upward velocity of 116 ft/s. If…

A: Solution:- Let suppose the height of hill =h so, displacement from initial position =-h-6…

Q: A tank with a capacity of 1500 liters initially contains a brine solution consisting of 5kg of salt…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t

Q: A drug was administered and the function is:  N(t) = 200(0.85)^(x-1), which represents the amount…

A:

Q: An arrow is shot from 5 ft above the top of a hill with a vertical upward velocity of 104 ft/s. If…

A:

Q: Suppose you are going hiking and over the course of your trip, your velocity at time t hours is…

A: The time t is from 0 to 4 Because initial time = 0 hour after 4 hours, t=4

Q: The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original…

A: Note: According to the guidelines only three parts will be answered at one time please upload other…

Q: An arrow is shot from 4 ft above the top of a hill with a vertical upward velocity of 114 f/s. If it…

A: We need to find height of hill.

Q: Pure water is running into a certain brine solution, and the same amount of solution is running out.…

A: Given- Pure water is running into a certain brine solution, and the same amount of solution is…

Q: During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s…

A:

Q: The average height of water in a harbour is 5 m. At low tide, the water height is 3 m. The tide…

A:

Q: An object with initial temperature 170 degree F is submerged in large tank of water whose…

A:

Q: The initial size of a culture of bacteria was 200. After 30 minutes, the count is 450. a) Find the…

A: We will solve this using both models given

Q: When you are 18 years old you have a hair that is 15 centimeters long, and your hair grows about 12…

A: Idea: Use slope point form to find the linear relationship between H and t.

Q: The half-life of caffeine in a person's bloodstream is 6 hours. Let c(t) represent the amount of…

A: Use the half – life decay equation to find the value for the constant K for the given half-life of 6…

Q: An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 116 ft/s. If…

A:

Q: The formula for the growth rate of a population in the presence of a quantity x of food was given as…

A:

Q: A geologist is using stratigraphy to analyze the history of a canyon wall overlooking a river, in a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the…

A: I am attaching image so that you understand each and every step.

Q: A ferris wheel is 40 meters in diameter and boarded from a platform that is 1 meters above the…

A: Given that the wheel boarded from a platform, its minimum height = 1 meter Diameter =40 meters So,…

Q: The function f(x) = 0.07x + 400 represents the rate of flow of money in dollars per year. Assume a…

A:

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

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.