24. If Total Cost = 5Q² – 20Q + 8 what is the cost of one more unit when current level of output = 10? А. 308 В. 95 C. 80 D. 60 Select one: O A.. О В.. О С. O D..

10.If the H.P. required to propel a steamer varies as the cube ofvelocity and square of the length. Prove that a 3% increase in velocity and 4% increase in length will require an increase of about 17% in H.P

1. If a rock is thrown vertically upward from the surface of an unidentified planet. Its height s after t seconds is given by s= 15t- 1.86r^2 a. When is the rock moving downward? b. When will the rock reach the ground?

2. Coasting battleship Suppose that an Iowa class battleship has mass around 51,000 metric tons (51,000,000 kg) and a k value in Equation (1) of about 59,000 kg/sec. Assume that the ship loses power when it is moving at a speed of 9 m/sec. a. About how far will the ship coast before it is dead in the water? b. About how long will it take the ship's speed to drop to 1 m/sec?

Mr. Melecio boarded a bus bound for Argao at exactly 8:00 A.M. At 9:30 his brother Bert followed him driving a car at an average rate of 75 kph. Assuming that bus has an average speed of 50 kph, at what time would his brother's car overtakes the bus? А. 1:00 РМ В. 1:30 РМ C. 12:30 PM D. 12:00 PM

11. Solve log, a + logs(a - 8) 2. A. 9 В. 5 С. -1, 9 D. 8

1. A kite connoisseur flies a kite attached by a string. The person is able to maintain the kite’s height at 123 ft above the ground while the wind blows the kite 5 ft/sec away from him. How fast must the kite connoisseur let out string to continue to maintain height when there is already 414 ft of string out?

21. Suppose the number of users for a new social media app increases according to y = Yoe0.1t where y is measured in millions and t is measured in weeks. How long will it take for the number of users to triple? (a) In(30) weeks (b) 10 In(3) weeks (c) 10 In(3yo) weeks (d) 0.1 In(3) weeks (e) 3 In(1.1) weeks

2 A hydro-electric power station is supplied from a reservoir having an area of 48 km² and a head of 43 m. If the over-all efficiency of the plant be 79 %, find the rate at which the water will fall in mm per hour when the station is generating 21,000 kW.

A. Is y^3=16x proportional? B. Is y-3=x proportional? C. Y-30x=0 proportional? D. C.c/y=9 proportional ?