Solve the problem.30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.
A. 1st bag = 6 marbles; 2nd bag = 18 marbles; 3rd bag = 12 marbles
B. 1st bag = 5 marbles; 2nd bag = 15 marbles; 3rd bag = 10 marbles
C. 1st bag = 6 marbles; 2nd bag = 14 marbles; 3rd bag = 10 marbles
D. 1st bag = 5 marbles; 2nd bag = 10 marbles; 3rd bag = 15 marbles
Answer: B
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Solve the problem.A projectile is fired from a cliff 100 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 100 feet per second. The height h of the projectile above the water is given by where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 334.38 ft B. 156.25 ft C. 78.13 ft D. 178.13 ft
Solve the problem.A generator produces an alternating current according to the equation , where t is time in seconds and I is the current in amperes. What is the smallest time t such that I = 36?
A. sec
B. sec
C. sec
D. sec
Divide.
A. 45 B. 5.5 C. 55 D. 4.5
A pendulum of length 16 feet hangs from the ceiling. Let represent the gravitational acceleration. The correct linearized differential equation for the angle,
, that the swinging pendulum makes with the vertical is
Select the correct answer.
?
A.
B.
C.
D.
E.