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.

0.00671 convert to scientific notation

0.5 of what number is 22?

a car travels at a speed of 80 km/h for 2½ hours from town P to town Q. Then the car increases its speed by 25% and maintains that speed for a further 150 km from town Q to town R. Calculate the average speed for the whole journey.

Thursday is ladies night at the slurp and burp bar and grill. all adult beverages are $ 1.25 for women and $ 2.50 for men. a total of 416 adult beverages were sold last thursday night. if the slurp and burp sold a total of $ 997.

What is 5 wholes plus 8/6 or 1 2/6

Which information is sufficient to show that a parallelogram is a rectangle? A. The diagonals bisect each other. B. The diagonals are congruent. C. The diagonals are congruent and perpendicular. D.

Solve for x. - 6>-30-4x

a truck traveled 8 hours at an average speed of 55 mph. how far did the truck travel? (distance = rate x time)

Darla drives at a constant speed of 45 miles per hour. a. If she drives for y miles and it takes her x hours, write the two-variable equation to represent the number of miles Darla can drive in x hours b.

Substitute x=5 and y = 7 for the algebraic expression 24x-3) + 6 (3y-5) and evaluate the expression