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There is the warning buoy situated 6 miles directly north of port. Find bearing of buoy as seen from ship after 10.5 hours?
Yacht averages the speed of 20 knots over 428 nautical mile trip. How long it takes yacht to make trip? How far east and how far south is yacht after 12 hours?
How many different 5-tone melodies can you create using 5 different tones? How many different 2-tone accords can be played if the choice of tones?
Measurements in Sargasso Sea in West Indies have indicated that half surface light reached the depth of 73.6 feet. Determine k, and find depth at which 1% of surface light remains.
Formula for converting Celsius temperature (x) to Kelvin temperature is k(x)=x+273.16. Formula for converting Fahrenheit temperature (x) to Celsius temperature is c(x)= (5/9)(x-32).
Blue light penetrates deepest into ocean. Blue light in clearest ocean has the attenuation coefficient of k=-0.035m-1. What percent or fraction of blue light at sea surface penetrates to depth of 60m?
The age of earth is about 4600 million years. If half-life of 40K is 1.25*109yrs, what fraction of original 40K is present at formation of earth exists today?
Determine arc length corresponding to given angle (in degrees) on the circle of radius 2.5. The angle of 23 degrees has the arc length of how many units.
Determine the probability that balls have different colours? What combination of colours is most probable? Find probability of the combination?
Working together women can paint the house in two-thirds time it takes Kasey working alone. Betsy takes six hours to paint the house along. How long it takes Kasey to paint the house working alone?
Yosemite falls in california comprise of 3 sections. Upper yosemite fall, middle cascade, and lower yosemite fall. How high is total series of 3 falls? Find how high is upper yosemite fall?
The car leaves city travelling at 54mph. Half hour later second car leaves from same place and travels at given speed 63 mph along same road. How long it takes for second car to catch up to first?
Distance x from equilibrium position can be described by the cosine function. Determine equation for bob's horizontal location?
Height of projectile is given by h(x) = -32x2 / (100)2 + x. Where x is horizontal distance of projectile from firing point. How far from firing point will projectile strike ground?
Alice was named manager of month at the wire company due to the study on hiring. Illustrate algebraically that number of extra sales persons required to maximize sales is 10.
The rectangular theatre seats 1620 people. If every row had six more seats in it, number if rows would be decreased by nine. Compute number of seats in every row?
She sails NORTH for 1 hour, then turns and sails EAST for 30 km. She sails at the constant speed of 6 km/hr. Determine how much time was she within 8 km of buoy?
The deadly bacteria strain comprises of 10000 cells and then grows by 200 cells a day. Another strain of bacteria comprises of 10 cells but then grows by 50% a day. When will two strains be equal?
An hour later temperature of the potato is 160°C. Under (unreasonable) supposition that potato's temperature is always uniform, how long it took potato to reach 50°C.
In resulting photograph, spokes of bicycle were blurred through the angle of about 5°. How fast was bicycle travelling?
The top of the 100 foot vertical tower is to be anchored by cables which make the angle of 60 degrees with ground. How long much each cable be? How far from base of tower must anchors be placed?
Determine missing sides and angles in right triangle. All angles must be in degrees (not radians), and all trig functions entered will be estimated in degrees (not radians).
If capacity of radiator is 3.6L, how much coolant must be drained and replaced with water to decrease antifreeze concentration to suggested level?
Determine equation for line tangent to function at indicated point. Confirm by drawing the graph of function showing tangent line: f(x)= x^2-4 (-4,12) .
Suppose that number of bacteria follows the exponenital growth model of P(t)= P0 e^kt. How many minutes after start of experiment will population reach 15000?