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Determine the remaining roots of f(x) given that r is the root . Then rewrite f(x) in the factored form and sketch its graph. f(x) = 3x^4 + 10x^3 + 3x^2 - 12x - 4; r = -2 is double root.
Determine the standard equation (y = a(x - h)2 + k) of the parabola which has the vertical axis and satisfies given conditions.
Determine g(x). Simplify the answer. Determine rational values of a such that (x-a) will divide into x^3 - 4x^2 + x +6 with the remainder of zero.
In year 2002, Lisa was 60 cm tall. Suppose that Lisa and Tim are presently growing according to linear models. When will Tim be twice as tall as Lisa?
If you are flying at the constant speed of 800 km/hr, how long after you depart JBLM will you be closest to Mt. Rainier?
Assume earthquake A measured 3.2 on Richter scale. Find Richter scale measure of earthquake B if it was 1900 times more powerful than earthquake A?
Dimensions of the window function ax = x(x+1) explains the area A of opening of rectangular window. Determine dimensions of window if area if opening is to be 36 square centimeters by solving A (x0 =
A ship goes first 5 mi to N 10 W, then 3 mi to S 80 E, then 6 mi to S 20 W, determine distance from origin. Illustrate steps and draw pictures and describe each step.
The value of V of the bank account in which $350 is invested at 7.00% interest, compounded annually is provided by equation below where t is time in years. Determine the value of account after 2 yea
Write the equivalent log equation. 1. 25^(1/2)=5 2. 10^3=1000 3.(0.25)^2=0.0625 4. 2^-2=1/4 Write the equivalent exponential equation. 1. log(2) 32=5 2. log0.001=-3 3. 0=log(5) 1 4. 2=log(4) 16.
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?