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An airplane takes off at a 14° angle and travels at the rate of 350 ft/sec. Approximately how long does it take the airplane to reach an altitude of 15,000 feet? (Give the answer to two decimal places.)
Conditions for Linear transformation. This chapter starts as follows rotations about the origin and all reflections in lines through the origin can be expressed as functions with rules of the form
Is empty set a symmetric relation? Prove or disprove.
Inside a semicircular tunnel of diameter 24 feet, a vertical support beam is placed 5 feet from the side of the tunnel. How tall is the beam?
If Tom Bombadil's house is 24 miles east of Hobbiton and 32 miles south, what is the straight line distance.
A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
Discuss the case when b = 6. Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
Determine the inverse Z-transform for the followings.
The temperature of a plate at the point (x,y) is given by T(x,y) = 300+ 3x^2 -2y^2. A heat hating ant is located at the point (3,2).
Plot the value of each strategy over time for a single interaction of the simulation. What is the total value of each strategy after six years? Do either of the strategies reach the target?
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