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Assume ellipse has has foci (±c, 0) and sum of distances from any point P(x,y) on ellipse to foci is 2a. Illustrate that coordinates of P satisfy equation of the ellipse.
Find height of water in cylinder when volume of water in cylinder is 8.3 cubic centimeter. Illustrate calculation using both formulas.
Smaller 3 hp pump fills same tank in 12 hours. Pumps are utilized together to start filling this tank. After 4 hours, 8 hp pump breaks down. How long will it take smaller pump to fill tank?
The lab has 60cm^3 of a solution which is 40% HCl acid. How many cm^3 of the 15% solution of HCl acid must be mixed with 60cm^3 of 40% acid to get the solution of 25% HCl? How much of 25% solution i
The flash of lightning is seen, and resulting thunderclap is hear 3 seconds later. If speed of sound avenges 1,100 feet per second, how far away is storm?
Find Quantities whose values differ and Quantities whose values are constant. Contractor pours concrete at the rate of 2 cubic feet per minute.
Find if number of seconds since Kacie passed 100-meter point on track is proportional to distance Kacie ran past the 100-meter point.
If April uses four cups of water, how many tablespoons of lemonade mix will she require to assure that '2 cups: 3.5' ratio of water to lemonade is maintained? Describe.
Find if number of months of membership is proportional to total cost of membership since joining. Justify the response.
Savanna and Porter met to run on the local running track. Find formula which expresses number of laps run by Porter in terms of number of laps run by Savanna.
Determine if the number of pounds of ground beef sold n is proportional to the cost c of purchasing n pounds of ground beef. Explain. Determine a formula to express the cost c of purchasing n pounds
For each 1 cubic centimeter of water added to bottle, water level rises 0.2 centimeters. If bottle is 25 centimeters tall, how many cubic centimeters of water is required to fill bottle?
If the person throws the water balloon downward with the speed of 5 feet per second, height of water balloon is given by equation h=-16t(squared)-5t 100, where t is in seconds. Find when water ballo
Cutting a 1 foot by 1 foot square off of every corner and folding up edges will yield the open box. If desired volume is 12 cubic feet, find dimensions of original rectangular piece of cardboard?
The rectangle has the area of 31.5 square meters. If length is 2 meters more than twice width, determine the dimensions of rectangle.
The square's side is increased by 3 yards, which corresponds to the increase in area by 69 square yards. How many yards is side of initial square?
The rectangular package has the maximum combined length and perimeter of cross section: 20 inches Length= x Width= y and Hight= x
It sits and cools for ten minutes to 140 degrees F. Suppose the exponential model, when will coffee reach 100 degrees F?
The initial investment of 4000 dollars grows at the annual interest rate of 4 percent compounded continously. How long will it take to double investment.
The bacteria population doulbes every six days. The scientist started her count from 6432 bacteria. When will the count reach 10674? Determine half-life of the radioactive substance if 2.4g decays
The rectangular flower bed is to be twice as long as it is wide. If they are enclosed should be greater than 72m2, what can you conclude about width of flower bed? Illustrate work.
Area, A=f(s) square feet, of the square wooden deck is the function of side s feet. Stain which costs $27.50 will cover 180 square feet of wood. Write the formula for f (s).
Determine the function which models brightness of star as function of time (in days), t. (Suppose that at t = 0 brightness of star is 5.4 and that it is increasing.)
If suggested adult dosage for the drug is D (in mg), then to find out the suitable dosage c for the child of age a, pharmacists use equation c = 0.0417D(a + 1). Determine slope of the graph of c.
Does graph of f (x) = (X^2 + x)/x seem to be continuous on interval [-4, 4] when using the graphing calculator? Write the short paragraph about significance of examining function analytically as wel