road perpendicular to a highway leads to a farmhouse located 10 mile away. An automobile traveling on the highway passes through is intersection at a speed of 70mph. ow fast is the distance between the automobile and the farmhouse increasing when the automobile is 7 miles past the intersection of the ghway and the road? e distance between the automobile and the farmhouse is increasing at a rate of miles per hour.

Q: It take you 12 min to travel 5.0 mi to school along a straight road. You leave home 20 min before…

A: We have the formula Speed = DistanceTime Now, normally it takes 12 min to travel 5 miles.  Now, 60…

Q: A whitetail deer can sprint at speeds up to 30 mph American bison can run it speeds up to 3520 ft./m…

A: Given: A whitetail deer can sprint at speeds up to 30 mph and American bison can run at speeds up to…

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

A:

Q: studies have shown that heating the scrotum by just 1 degree C can reduce sperm count and sperm…

A: Given DataMean = 2.31Standard Deviation = 0.96No of males(n) = 29a)95% confidence interval for the…

Q: After how many seconds does the angry bird hit the ground? The bird will hit the ground seconds…

A: Guven,                  h(t) = -0.15t^2 +1.5t+18 Since at ground the height of the bird becomes o.…

Q: To prove: the sum of two odd integers is even.

A: WE HAVE TO PROVE: SUM OF TWO ODD INTEGER IS EVEN. Let x and y are two odd integer  Therefore  x=2m+1…

Q: Difference in Time of Sunrise Naples, Florida, is about 90 miles due west of Ft. Lauderdale. How…

A: We have to find the difference in the time at which the sun appears rising to a person in Ft.…

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: A funambulist (a circus performer who walks across tightropes high above an audience) walks across a…

A:

Q: You must first plan out your means of travel to Pirate’s Island.  You will be travelling by boat…

A:

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: The current in a river moves at a speed of 2kph. A boat travels 30km upstream and 30km downstream in…

A: Let the speed of the boad in still water be x xm/hr Therefore, given the speed of the river is 2…

Q: a carousel spins at a rate 2 miles in 7 minutes how far would a passenger on carousel travel in 25…

A: a carousel spins at a rate 2 miles in 7 minutes how far would a passenger on carousel travel in 25…

Q: You run along a path at a constant speed of 4.7 mph. How far do you travel in 1.7 hrs? In 3.8 hours?

A: The given speed is 4.7 mph. Evaluate the distance travelled in 1.7 hours as follows. Therefore, the…

Q: Jse the special factoring methods to factor the following binomial. If it cannot be factored,…

A: we need to factor the given polynomial

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.