The position of the particle moving in space at time t ≥ 0 is r (t) = (2 + 2 cos (t)) i - 2 sin (t) j + (3 - t π) k. Find the first time moment t0 such that the velocity vector v (t0) is orthogonal to the vector i - j.

Is the length of a classroom greater or less than one Kilometer

A Tree Grows 1 3/4 feet per year how long will it take the tree to grow from height of 21 1/4 feet to a height of 37 ft

A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03.

A tailor is adding lace edging to 9 gowns. She needs 50 feet of lace for each gown. At the fabric store, lace is sold by the yard. How many yards of lace does the tailor need to buy in order to make all 9 gowns? (1 yard = 3 feet) A.

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Eighteen and seventy-five hundredths in standard notation

Which road makes with the horizontal

Jerry is filling a water tank which initially consists of 75 gallons of water. As the water is being pumped in, the water in the tank increases by 2.5 gallons every minute.

Tickets to the senior class play cost $7. Production expenses for costumes and sets are $350. The profit (p) will depend on the number of tickets sold (n).

If you can buy 1/2 of a gallon of milk for $3 how many gallons can you buy for $5 write your answer as a fraction of a gallon