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Determine function which models number of bacteria n(t) after t hours. Determine number of bacteria after three hours and after how many hours will number of bacteria double.
A big punch bowl holds 3.95 kg of lemonade (which is simply water) at 20 degrees C. An ice cube of .00450 kg at 0 degrees C is placed in the lemonade. Determine the final temperature of the system a
A lead ball of 223 g at a temperature of 83.2 degree’s C is positioned in a light calorimeter having 178 g of water at 24.5 degrees C. Determine the equilibrium temperature of the system?
The lenses in the glasses encompass a focal length of -547cm and are worn 2cm from the eyes. By the glasses the person can view an object clearly which is very far away. Determine how far from the e
The 20 foot ladder is leaning against the building. If base is 6 ft away from base of building, compute angle of elevation of ladder and how high does ladder reaches on building.
At one time it is rotating at around 10 rev/s. After completing 60 more complete revolutions its angular speed is around 15 rev/s. i) Compute the angular acceleration
The electric motor, rotating a workshop grinding wheel at a rate of around100 rev/min is switched off. Suppose constant negative acceleration of magnitude 2 Rad/sec^2. i) Determine how long will it
At the top of the pole vault, an athlete in reality can do work pushing on the pole before releasing it. Assume that the pushing force which the pole exerts back on the athlete is given by = (160) -
The polynomial has zeros with multiplicities x=1 (multiplicity 2), x=3 (multiplicity 1) and x=-1 (multiplicity 2) and f(-3) = 10. Determine factored form of polynomial and draw it.
When the speed of the cockroach with respect to the lazy Susan is around 0.01 m/s, determine the speed of the cockroach with respect to the room?
Determine the composition and its domain f(g(h(x))) if f(x) = 3x-1, g(x) = 2/x, h(x) = x-1/x. Write resulting function as the single simplified fraction.
A lightweight electric car is powered through two 14V batteries. At a speed of 89 km/h, the average frictional force is around 1178 N. What should be the power of the electric motor if the car is to
(i) When the player comes to rest at third base, determine how much work was done on the player by friction? (Ensure you obtain the sign of work correct.)
Determine the focal length of the eyepiece lens which will give an on the whole magnification of 125?
A block of unknown mass is joined to a spring of spring constant 5.7 N/m and undergoes simple harmonic motion having an amplitude of 15.9 cm. If the mass is halfway between its equilibrium position
A professional diver of 70.0 kg performs a dive from a platform 10 m above the water surface. Determine the average impact force she experiences in her collision with the water when the collision la
A circuit comprises of a 215 Ohm resistor and an inductor of 0.200 H. These two elements are joined in series across a generator which consists of a frequency of 110 Hz and a voltage of 225 V. (i)
Primarily the blocks are at rest on the frictionless surface and they are held altogether so that the spring between them is compressed through an amount D from its equilibrium length. The blocks a
A block of 3.0 kg slides all along a frictionless table-top at 8.0 m/s toward a second block (at rest) of mass 4.5 kg. The coil spring, that obeys Hooke's law and consists of a spring constant k = 7
When a float displaces water of 100 kg and is thrust into a swimming pool at a 45 degree angle, through a rod which does not move up or down, just laterally at a 45 degree angle, evaluate how hard i
Determine polar equation for ellipse with the focus at the pole and given polar coordinates as endpoints of its major axis. (3, pi/2) and (0.75, -pi/2).
The elevator weighing 9.800 x103 N is supported through a steel cable. Find out the tension (in SI unit) in the cable if the elevator is accelerated upward at 1.00 m/s2. (Let, g = 9.80 m/s2)
The central bright fringe in a single slit diffraction pattern from the light having wavelength 513 nm is 2.2 cm broad on a screen which is 1.05 m from the slit. (i) Determine how wide is the slit?
The light of 650 nm is incident on two slits. A maximum is seen at the angle of 1.13° and a minimum of 1.69°. Determine the order m of the maximum?