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The observer, standing on level ground, 115 feet from bottom of the tower, looks at top of tower and notices that his angle of elevation is 0.5 radians. Find height, h, of tower, rounding the answe
Rectangular coordinates of the point are provided. Determine polar coordinates (r,theta) of the point with theta expressed in radians. Let r>0 and -2pie<theta<2pie. (1,-1)
Certain car traveling at 50 mi/h can stop in 215 ft. Determine maximum speed it can be traveling if it requires to stop in 160 ft?
Cost of manufacturing soccer balls is provided by C = 24,000 + 7x, where x is number of soccer balls produced. Determine the slope of equation and what does it represents in context of problem?
Temperature may be provided in degrees Celsius or in degrees Fahrenheit. Freezing point of water is 32°F or 0°C. Boiling point of water is 212°F or 100°C. Determine temperature in Fa
Find slope and y-intercept of Jeremy's function and describe what they mean in context of problem. If Jeremy spends three hours studying for exam, what grade does he expect to earn? Illustrate work.
Cost of hosting the dinner in the particular restaurant is provided by y = 18.5x + 250, where x is number of people at dinner and y is dollars. Determine the slope of this function?
Determine the formula for Poiseuille's Law, provided that rate of flow is proportional to fourth power of radius. Use k for proportionality constant.
The box of fixed volume, V, has the square base with side length, s. Write the formula for height, h, of box as the function of s. V will also be in the answer and this is the upper case V.
A bacteria culture begins with 900 bacteria and doubles in size every half hour. How many bacteria are present after four hours?
Coin box has 3 times as many nickles and 4 times as many quarters as it does dimes. If box has the total of $96.25, how many coins of each type does it have?
The goldsmith has 120 grams of the gold alloy (the mixure of gold and one more other metals) having 75% pure gold. How much pure gold should be added to the alloy which is 80% pure gold?
It turned dark before she was prepared to return home, so friend drove her home at the rate of 80 kilometers per hour. Aya's total traveling time was 3 hours, how far away did her friend live?
Lucas is 1/3 of the mile from home, bicycling at 20 miles per hour, when his brother leaves home on bike to catch up. How fast should Luca's brother go to catch Lucas mile from home?
Kevin won 735,000 on the TV game show. He made decision to keep the certain amount for himself, provide one-half the amount. How much each person got?
If Quck Mart sold the total of 1113 lottery tickets during July and August, determine number of tickets were sold every month?
The gambler heard from odds-maker that team has the 50% probability of winning Saturday's game. Find probability that back up quarterback is playing?
A very small tumor of initial size M is observed every 10 days, and over each ten-day period, it has grown 70% larger. Write the formula representing size of tumor after t days (t = 0, 10, 20, . . .)
Small business purchases the computer for $3900. After four years value of computer is expected to be $200. Determine depreciated value of computer three years from date of purchase.
Write the formula for number of vehicles (in millions) as the function of t, number of years since 2000. Write the formula for number of people (in millions) as the function of t, number of years sinc
The doorway has shape of the parabolic arch and is 9 feet high at center and 6 feet wide at base. If the rectangular box 8 feet high should fit through doorway, determine the maximum width box can
The hemisphere is on top of the cylinder. Explain total volume as the function of radius r. Height of side is 10 meters. Determine radius if total voulume is 27 pi m3.
At given time t=0 A car is 30 miles south of B car and traveling north at 60 mph. B Car is traveling west at 40 mph. Explain distance D in miles and at function of time in hours.
Verify the results utilizing the graphing utility. If essential, write f in form f(x) =a(x-h)^2 + k. Functions are f(x)+ x^2 +4x+2, f(x)=-x^2-6x, and f(x)=-2x^2 + 2x -3
Use simplified expression from part a to reply these questions. With the 30% reduction followed by the 30% reduction, is television selling at 40% of its original price? If not, at what percentage o