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Number of mosquitoes M(x) in millions in the certain area depends on june rainfall x, in includes: M(x)=16x-x squared. What rainfall makes maximum number of mosquitoes?
If focal length of the lens is 3cm and image distance is 5cm from lens, find distance from object to lens? Using formula.
Company pays for 40,000$ for every employee's salary, benefits, and related costs. How many employees are required to earn the profit of 214,000$?
It estimated centimeters 20 centimeters tall and 90 centimeters wide. Determine the equations of parabola with its vertex at origin.
A hiker travels at 3.6 mph at the heading of N 52 degrees E from the ranger station. After 6.5 hours, how far north and how far east is hiker from ranger station?
Circular blade of the saw has the diameter of 7.5 inches and rotates at 2400 revolutions per minute. Determine angular speed in radians per second
The high diver jumps off the springboard. For h (in meters) and t (in seconds) after diver leaves springboard, her height above water is provided by h=f(t)= -4t^2 8t 10.
From the rectangular piece of cardboard having dimensions 30 multiplied by 40, the open box is to be made by cutting out identical squares of area x2 from every corner and turning up sides.
From the distance of 43 feet from base of the building angle of elevation to top of building is 63°. Find height of building to nearest foot.
The pendulum of length 14.0 inches swings 4°21' to each side of vertical position. To nearest hundredth of the inch, find length of arc through which end of pendulum swings?
The population of the small country increases according to function B = 1,600,000e^0.03t, where t is measured in years. How many people will country have after one year?
In both formulas x is year, where x=0 corresponds to september 1998. Suppose these trends continue, evaluate year when population of west goma will equal population of east goma.
Spring has the stiffness constant k = 9450 lb/ft and should be able to stop the 4000-lb car traveling at 25 mph. Determine least compression required of spring?
In family with four children, find probability that i) all children are boys, ii) all children are same sex, and iii) there is at least one boy?
Determine probablitity that the sale will be made with i) all six contacts ii) none of contacts c)at least 1 vehicle is available at the given time?
The force of 100lbs is being applied parallel to the frictionless inclined plane to hold the 600lbs weight on plane. Determine angle of inclination of plane.
Determine the piecewise-defined function P which specifies price of item after t years have passed. Let P(t) = price of item in dollars after t years have passed.
Provided the function f(x) =x^3 + x. Calculate average rate of change from x =1 to x= 2 and simplify the result.
If maximum length ladder extends is 82 feet and angle of inclination is 45 degrees, how high up building does ladder reach? Suppose ladder is mounted top a 10 foot high truck.
Sketch graph of above equation in coordinate plane below using suitable Xmin/Xmax and Ymin/Ymax. Clearly label both x and y intercepts.
Let the parabola provided by the equation f(x)=x^2+12x-11. Determine the given for this parabola. Determine two values of that make. Write values as the list.
Let s(t)=8t^2+2t+100 be the position, in miles, of the car driving on the straight road at time t, in hours. Determine car's position when car is going 34 mph.
Adult tickets cost $9, and children were admitted for $7. If box office receipts totaled $5120, how many children attended premiere?
Provided h(x) = x3+bx2+x+1 where be is the nonzero real number. How does value of b affect graph of function?
Provided the following function, determine (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range,(f) intervals where function is increasing.