40 30 20 10 -10 10 20 30 David is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. David runs along the shore for a while and then jumps into the water and swims from there directly to the child. David can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should David run before jumping into the water in order to save the child? Round your answer to three decimal places.

Q: Pritz and Jervy leave Coffee World at the same time and head for their respective homes. Pritz uses…

A: We will draw the figure and then find relation between x,y,r . Then use derivative to find relation…

Q: A turboprop plane flying with the wind flew 700 mi in 5 h. Flying against the wind, the plane…

A:

Q: 2.) An adult elephant weighs about 1000 pounds, while a baby elephant weighs about 200 pounds. How…

A: We have given that  Adult elephant weight=1000 pounds  Baby elephant weight=200 pounds  Fund the…

Q: 8 = 56 7 = 42 6 = 30 5 = 20 %3D %3D %3D 3= ?

A:

Q: Suppose a map of Texas has a scale of 0.5 inches: 100 miles. The ruler distance from Odessa to…

A: Given : On map scale is 0.5 inches = 100 miles The distance between Odessa to Greenville on the map…

Q: The sum of A. 0.432 2m (m²+32)1.5 B. 0.342 C. 0.423 D. 0.32

A: Let's find sum.

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: 25. Distance For a given speed, the distance traveled varies directly with the time. Kate's school…

A: Solve the above questions.

Q: 8 An aircraft, used for fire spotting, flies from its base to locate a fire at an unknown distance,…

A: Aptitude problem solved here.

Q: Find a direct variation model that relates y and x. x = 2, y = 24

A: If x and y are related by an equation of the form y=kxn  the relationship is direct variation and y…

Q: If your speedometer reading is 75 mph, but your tires are larger than factory-installed tires, how…

A: In this question we have to prove how fast SUV is moving.

Q: The quantity a varies jointly with b, c, and d When b = 6, c = -2, and d = 7, a = 84. Find a when b…

A: to find:- value of 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.