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Number of grams of the element present at time T is provided by function Q(T)=Q0e^-0.00032T where Q0 is number of initial grams present. Determine the half life? Illustrate all steps.
Determine amplitude, period frequency, and find starting points and ending points for primary cycle. If possible, graph primary cycle with this information.
The force of F = 45 pounds exerted at the angle of A = 15° above the horizontal is needed to slide the table across the floor. Table is dragged d = 23 feet. Find the work done in sliding table.
Should you believe a statistical study?, Assignment 1: Should You Believe a Statistical Study? We are bombarded by statistical information from a wide variety of sources. Much of the statistical re
Number of dimes is 3 time number of nickels and quarters together. If box has 29 dollars and 35 cents, determine number of nickels, dimes, and quarters that it has.
Suppose that area covered by radioactive substance is linear function of time t and is always circular in shape, state radius r (in km) of contamination as a function of t (in days).
The college store paid $1572 for the order of 46 calculators. Store paid $11 for each scientific calculator. Others, all graphing calculators, cost store $52 each. How many of each kind of calculat
Relationship between temperature reading F on Fahrenheit scale and temperature reading C on Celsius scale is provided by C = 5/9 (F-32).
The object moving vertically is at given heights at specified times. Determine the position equation. s = 1/2at^2 + v0t + s0 for object.
Average speed of the airplane is 10 times faster than the car. It takes airplane 18 hours less than car to travel 1000km. Determine the average speed of car?
Frog population in the small pond grows exponentially. Present population is 70 frogs, and relative growth rate is 16% per year. Determine the function which models population after t years.
Woman invests $5900 in the account which pays 6% interest per year, compounded continuously. Determine the amount after three years?
Use descartes' rule of signs to determine possible number of positive and negative real zeros. For polynomial do the in order.
Use descartes' rule of signs to estimate possible number of positive and negative real zeros. Use rational zeros theorem to determine all the possible rational zeros of the function.
The simple pendulum will swing back and forth in regular time intervals. Use data to estimate k and find best value n. Let (L-kT^n)=0.
Years 1999 to 2005 were particularly costly for insurance companies, with 7 of 10 most costly catastrophes in US history to date. According to model, during which year catastrophic loss claims at the
If the reaction rate V is provided by V(x)=kx(a-x), 0<=x<=a where k is the positive constant, a is initial amount of compound, and x is variable amount of compound, for what value of x is rea
Determine values of trigonometric functions of angle whose terminal side passes through given point. Coordinates are approximate.
Studies have illustrated that concentration (in mg/cm(3) of blood) of aspirin in typical person is related to time t (in h) after aspirin reaches maximum concentration by equation ln c=19-0.78t.
The certain kind of optical switch in the fiber-optic system permits the light signal to continue in one of two fibers. How many possible paths could a light signal follow if it passes through 500
Following formula from probability used to find probability that the car will arrive within t minutes of 12:00pm. f(t)=1-e^-0.13t. Find probability that the car will arrive within forty minutes of 12:
If the single pane of glass obliterates 1% of light passing through it, then percent p of the light which passes through n successive panes is proided approximately by given function. p(n)=100(0.99)
Utilize remainder theorem to determine remainder when f(x) is divided by x-1. then use factor theorem to find whether x-1 is a factor of f(x). f(x)=4x^4-8x^3+2x+2.
If opposite=3 and the angle =30deg, and the other angle at opposite is 90 degree, compute hypotenus and adjacent. If hypotenus=5 and adjacent=4 determine opposite and angle. At this point angel at opp
Rotate the coordinate axes through 45 degrees illustrating that equation xy=8 is a hyperbola, and define equation for x and y in standard form with exact values being utilized when computing.