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Determine the equation for line in point-slope form and point-intercept form, passing through (-2,2) and parallel to line whose equation is 2x - 3y - 7 = 0.
There is the plane going 550 mph. You look outside and angle of elevation is 16 degrees. Minute later, it is 57 degrees. Determine altitude of the plane.
Alice and Bob each take 3 questions, where as other 2 students take 2 apiece. Find probability that none of the 3 questions Alice answers are consecutive?
Determine value of derivative of f(x) at x=-1. Write the expression for f-1(x), where f-1(x) denotes inverse function of f(x).
Determine x-coordinate of each relative maximum point and every relative minimum point of f(x). Jusitfy the answer.
Every student goes home and randomly finishes 8 of the 10 questions, and then they meet back together and copy each others work, find probability that all 10 questions will have been replied?
Determine volume of the human body which is 5ft 4 inches who weighs 120lbs? Using answer in 1st question how big of the hole would you have to dig to bury 1.5 million people?
The sloped cathedral ceiling is between walls which are 7.50 ft high and 12.0 ft high. If walls are 15.0 ft apart. At what angle ceiling rises?
Determine velocity of arrow after 1 second. Determine velocity of arrow when t=a. At what time t will arrow hit moon?
One is flying at 413 miles at the bearing of N 2.31 degrees W, and other is flying at 587 miles an hour at the bearing of N 64.9 degrees E. Find distance between planes after flying for 3.2 hours.
Assume the 1320-kg sports car has the 280 hp engine that is 40% efficient. i.e., 40% of 280 hp can be converted into car's motion. Determine car's maxium speed after acceleration from rest for 4.0
If angle of elevation to bottom of face is 25 degrees and angle of elevation to top is 28 degrees, find height of stone face.
Determine measure of least positive angle which is coterminal with angle given. Then determine measure of negative angle which is nearest to and is coterminal with angle given.
Victoria Falls in Afica drops approximately 100 m, and in rainy season as much 550 million m cubed of water per minuter rush over falls. Find total power in waterfall?
Determine trignometry values for sin, cos and tan of trigonometric function of angle. (in standard position) who terminal side passes through point (8,15)
At the given time, bearing is S 80 degrees E to the lighthouse at shoreline. If 50 minutes later bearing to lighthouse has changed to S 47 degrees E, determine distance, d, from boat to shoreline.
The displacement from equilibrium of the oscillating weight suspended by the spring is provided by y(t)=1/4 cos38t where y is displacement in feet and t is time in seconds. Determine displacement w
Determine probability that the randomly selected person likes exactly 2 sports. Determine probability that randomly selected person likes no sports.
The football team has four guards, five tackles, four ends and two centers on its roster. In how many ways the line can having of two guards, two tackles, two ends and one center be formed?
6 couples are having dinner. i) In how many ways twelve people can line up at the buffet table? ii) In how many of arrangements of (a) are people arranged alternately by sex?
Area of garden mary's backyard vegetable garden estimates 20 ft by 30ft, so its area is 20*30=600ft2. She makes decision to make it longer, so area increase to A=20(30=x).
How much ten degree Celsius water do you require to add to decrease coffee's temperature to the more bearable 49 degrees Celsius?
Assume that the certain instant volume is 375cm and pressure is 75 kPa and is reducing at the rate of 11 kPa/min. At what rate is volume increasing at the instant?
The blood vessel of inner radius 1.35 mm carries blood at the average speed of 2.66 cm/s. Determine pressure drop along the 1.00 cm length of blood vessel.
The steel cable lifts the 350kg concrete block vertically. Maximum safe cable tension is 4200N. Determine maximum upward accerleration of the block?