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Determine the given log without using log function on the calculator. Suppose that log(10) 2=0.301 and log(10) 3=0.477. 1. log(10) 6 2. log(10) 81 3. log(10) Square root 3 4. log(10) 2/3 illustrate
Goal=$1000 from investments. Determine smallest amount you can invest in 4 and 1/2% fund and still meet the objective?
Draw the diagram which represents problem. width= height=h. write h in terms of w and write the equation for perimeter in terms of w. Determine dimensions of picture frame.
The three students were asked to calculate the identity of the metal in a particular sulfate salt. They dissolved sample of salt of 0.1472 g in the water and treated it with excess barium chloride,
NiO (Nickel oxide) crystallizes in the NaCl type of crystal structure. The length of the unit cell of NiO is 4.18 Å. Determine the density of NiO.
Determine the composition of the brass by mass? Explain how could this result be checked without changing above practice?
The most prominent line of aluminum in the line spectrum is found at 396.15nm. Determine the frequency of this line? Describe is the energy of one photon? Calculate the energy per mol?
40ft ladder makes the angle of 72 degrees as it leans against the high wall. How far from the foot of wall is ladder and how high up the wall ladder reaches.
Analyze the ratio of the dynamic viscosity of water to air at a temperature of 60 degrees. Evaluate this value with corresponding ratio of kinematic viscosities. Suppose the air is at STP.
Circular arc a radius of 90 meters. Measure in decimal degrees of angle subtended the center of arc length of the arc is 30 meters. Determine the area of the enclosed sector.
Assume function P(t) provides estimated population of the town t years after 2010. Function N(c) gives size of population that c police officers can patrol.
Determine trigonometric functions of theta if terminal side of theta passes through given point. (0, 9, 4) Sin theta = cos theta = tan theta.
The projection of annual growth rate p (in %) of the number of users of internet is provided by equation below, where t is number of years after 2005.
An electric intensity I( in W/m^2) from two antennas is the function of theta provided by I =0.024 cos^2(py sin theta). Determine I for theta = 50.0 degree.
Write down the difference between horizontal stretch/compression/shrink? How do we know, based on the equation, whether it is horizontal or vertical stretch?
Water is flowing at the rate of 5m^3/ s into the conical tank. a) Determine volume v of water as function of water level h b) Determine h as the function of time t during which water has been flowi
Illustrate that t hours after 2:00 PM distance between bikes is? At what time is distance between bikes least? Compute distance between bikes, when they are closest?
The light 3m above causes boy 1.8m tall to cast the shadow s meters long measured along. Write s as the function of d, boy's distance in meters from light.
The 30-foot ladder is leaning up against the roof which is 20 feet above ground. How far from building is foot of ladder? Determine angle between ladder and the grounnd?
Determine holes, Vertical asympotote, Horizontal Asymptote, x and y intercepts, slant, domain and range (1) f(x)=(2x-5)/(x+3) (2) f(x)= (4-x)/(5-2x) (3) f(x)= (X^2-2x-8)/(x+2) (4) f(x)= (2)/(x^2-4x-
The box with open top is to be constructed from the rectangular piece of cardboard with dimensions 12 in. by 20 in. Write volume V of box as a function of x. v(x)
The underwater (but near the surface) explosion is detected by sonar on the ship 20 s before it is heard on deck. If sound travels at 6000ft/s in water and 1400 ft/s in air, how far is ship from ex
The open top box with the square base is to be constructed from 120 square centimeters of material. Find dimensions that will produce the box with characteristics?
Assume you have the function y=g(x) with domain {x|-2 <or= X <or= 7} and range {y|-6 <or= y <or= 4}. Determine the domain of y= g(-x+3). Determine the range of y=g(-x+3).
Graph of the function is y=f(x) with coordinates (-3,-2), (-1,2), (1,-2) (2,0) (5,2) find new coordinates with the transformation of y=-f(2x-6), also define all of the transformations applied in wo