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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?
The woman borrowed $10,000 at 12% interest compounded annually. If loan was paid off in 1 lump sum at the end of six years, how much she paid?
The rectangular board is 2 by 18 units. Foci of the ellipse are located to produce largest area. The string is connected to foci and pulled taut by the pencil to draw ellipse. Determine length of th
Assume that P dollars is invested at the annual interest rate r (r a decimal) with interest compounded k times the year. Describe why value of investment at the end of year is P(1+(r/k))^k.
She then changes the bearing to north 45 west and walks the additional 1.5 miles. How far and at what bearing is ms. moore from watering hole?
The box has 3 oranges and 3 apples. Another box has 4 oranges and 6 apples. The piece of fruit is drawn from one of boxes at random. If it is orange, find the probability that it is from first box?
The baseball diamond is the square with sides 90 ft. The batter hits ball and runs toward first base with speed of 24ft/s. At what rate is distance from second base reducing when he is halfway to 1
There are seven blue chips and nine green chips in the box. If sally takes the chip out of box and then Alex takes a chip, find probability that both choose blue chips?
How many seven letter patterns can be formed from letters in word lessons? In how many ways can four children be seated on the four animal merry go round if Andy is seated on giraffe?
Two cars start moving from same point. One travels south at 28mi/h and other travels west at 70mi/h. At what rate is distance between cars increasing five hours later?
Volume v(t) of air (in cubic inches) in the adult's lungs t seconds after exhaling is approximately. Determine maximum and minimum amount of air in lungs.
The company's profit can be computed using given formula. How many units must be sold to maximize profit? Find largest number of units which can be sold without the loss?
Though, garden has to be divided in middle by fences. Determine length and width of garden which make sure largest possible area.
Determine the linear equation which provides percentage of people 25 and over who have Bachelor's degree in terms of time t, where t is number of years since 2000.
How many permutations comprise both all consonants appearing consecutively and vowels appearing consecutively?