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Clothing business finds there is the linear relationship between number of shirts, n , it can sell and price, p, it can cost per shirt. Write the linear equation in form p = mn + b which provides pri
Consider g and h be two functions stated by g(x)=(-6+x)(-1+x) h(x)=1+4x for any real number x. Determine g/h(-3) and then compute all values which are not in domain of g/h.
Determine continuous rate of growth of koala population between 1996 and 2005. Compute the formula for population as the function of years since 1996, and find population in year 2025.
Let the line y= -9x+9. What is the equation of line which is parallel to this line and passes through point (6,5) .
The number of bacteria in the definite population rises according to the continuous exponential growth model, with the growth rate parameter of 3.25% per hour. Find number of hours does it take for
Pool is shaped like the cylinder with the diameter of 8 m and depth of 1.5 m. If water is pumped out of pool at the rate of 15 m^3 per hour, find how many hours does it take to empty pool?
The fishery stocks the pond with 1400 young trout. Number of trout t years later is P(t)=1400e^-0.5t. Find number of trout which are left after six months? after one year
Determine the intensities I of given earthquakes measuring R on Richter scale (let I0 = 1). Samoa Islands in 2009, R = 8.1.
Use graph to find out values of p at which horizontal asymptotes occur. Find the asymptote that is most suitable in context of problem and interpret its meaning.
How far from top of tower should a 550-m high helicopter be in order that angle subtended at helicopter by part of tower above deck equals an angle subtended by part of tower below deck?
The paddle boat can move at the speed of 12 km/h in still water. Boat is paddled 22 km downstream in the river in same time it takes to go 11 km upstream. Determine the speed of river?
Determine values of trigonometric functions of an angle (in standard position) whose terminal side passes through given point. Coordinates are approximate.
The radio transmission tower is 175 feet high. How long must the guy wire be if it is to be attached to tower 15 feet from top and is to make the angle of 23 degree with ground?
The height of y (in feet) of a ball thrown by the child is. How high is ball when it leaves child's hand? compute y when x=0. How far from child does ball strike ground?
Determine roots in the increasing order. f(x)=(x-3)(x-4)(x-8). To left of first root, is the graph of the f(x) above or below x-axis?
Write system in a matrix equation form Ax = b Compute inverse of coefficient matrix A. Use A-1 to determine the solution to the linear system.
The rectangle has its two lower corners on x-axis and its two upper corners on curve y = 12 - x2. For all such rectangles, find dimensions of one with largest area?
On the 5-mi stretch of highway, road decreases in elevation at the angle of 5 degrees. Find how much lower is the car after traveling on the pat of highway?
Decide whether or not functions are inverses of each other:f(x) = 6x + 3; g(x) = x/6 - 3. Find out whether given function is exponential or not. If it is exponential, identify value of base a.
At the start of 2009, CPI was 211. Write the formula for CPI as the function of t, years after 2009 assuming that CPI increases by 2.5% every year.
The number of passengers utilizing the railway fell from 191652 to 178157 during the 5-year period. Determine annual percentage decrease over this period.
Find how much money would be in the account if you begin with $500 and keep money in an account for 4 years? Account compounds weekly at the rate of 2.3%.
Determine when the person was murdered.(Assume that the victim was healthy at the time of death. That is, assume that the temperature of the body at the time of death was 98.6F)
A wire of length 10 meters is cut into two parts. One piece is bent into a circle and the other piece is bent into an equilateral triangle. Find the maximum value of the function. Your job is to just
Write a linear equation that describes the book value of the machine each year. Hint: From the above information find the slope and the y-intercept. (b)What is the book value of the machine at the e