At noon of a certain day, the ship A is 68 miles due north of the ship B. If the ship A sails east at speed of $15$ miles per hour and B sails north at speed of 12 miles per hour determine how rapidly the distance between them is changing 4 hours later?

Q: I need help to find which train is faster

A: Speed of train A= distance/time                              =500/8   Speed of train A  = 62.5…

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: Question 82 > A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find…

A: See the solution , you will understand easily.

Q: Suppose you spent $38.25 for 3 shirts that each cost the same amount. If the cost of the shirts…

A: Answer is mentioned below

Q: The population of a city increased from 21,600 to 32,000 between 2007 and 2015. Find the change of…

A:

Q: A Ferris wheel is elevated 2 m above the ground at its lowest point. Its highest point is 32 m above…

A: Given problem:- A Ferris wheel is elevated 2 m above the ground at its lowest point. Its highest…

Q: A new piece of farm equipment was purchased for an amount of B dollars. The value of this equipment…

A:

Q: A train traveling 1 kilometer in 1 minute and 20 seconds if the train continues at this rate,How far…

A: Speed of train

Q: in one part of the world, the sea lion population decrease approximately linearly from about 55…

A:

Q: if the input is hours and the output miles in a linear equation, the units of the rate of change…

A:

Q: A missile flies 40 miles in 20 minutes. Calculate the missile’s rate of change

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Q: At low​ altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: A skydiver jumps out of a​ low-flying plane.  The  plane is 2200 feet above the ground and the jump…

Q: The number of songs in your iPad has increased from 200 to 400 in 3 months.  If the number of songs…

A: Suppose that the number of songs is y and the time taken in the increment of songs is x then the…

Q: The captain of a fishing boat needs to travel 25 miles on his boat. If the captain goes the same…

A:

Q: The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​…

A:

Q: A ship leaves a port going directly west at 45 mph. At the same time the first ship leaves port, a…

A: Formulae used: ddxx=12xddxxn=nxn-1

Q: In 1993, the moose population in a park was measured to be 3800. By 1999, the population was…

A: Given that In 1993 the moose population in a park=3800 In 1999 the moose population in a park=5600…

Q: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

A:

Q: The diameter of each tire on a vehicle is 32 inches. If the tires are moving at a rate of 800…

A:

Q: Indicate which quantity in the pair is larger without using a calculat a. b. 5/2,7 C. 3/3, v44 d.

A: We know that if a and b are positive numbers ,a>b ⇒a>b (a) 1/10 can be written as  110=1100…

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.