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Henry and Irene working together can wash all windows of the house in 3 h 20 min. Working alone, it takes Henry 1 1/2 h more than Irene to do job. How long it takes every person working alone to was
The certain kind of optical switch in the fiber-optic system permits the light signal in one of two fibers. How many possible paths could the light follow if it passes through such switches?
The merchant blends tea which sells for $5.50 a pound with tea which sells for $2.30 a pound to make 110 lb of a mixture which sells for $3.90 a pound.
Mary comprises $4.00 in nickels, dimes, and quarters. If she contains twice as many dimes as quarters and forty-seven more nickels than dimes, how many coins of every kind does she have?
Write the statement as the equation. Use given information to determine constant of proportionality, k. H is jointly proportional to squares of l and w. If l = 3 and w = 1/2 then H = 81.
The gear tooth on outer rim of the spinning wheel breaks off and flies at the speed of 88 ft per second. If radius of spinning wheel is 4 inches, compute the speed of turning wheel to nearest RPM.
Determine coordinates of horizontal intercept(s) c). when will function be greater than 0? Illustrate work and why function will be greater then 0.
If two resistance connected in parallel have combined resistance of 2.0 ohms and same two resistance have combined resistance of 9 ohms when connected in series, determine the resistance? Two resist
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.
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.
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.