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Graph of y= cos (x) is vertically stretched by the factor of 11, shifted the distance of 2 units to left, and translated 1 units downward. Determine the formula for function whose graph is resulting
Determine the equation of the sine wave which is obtained by shifting graph of y=sin(x) to right 9 units and downward 8 units and is vertically stretched by the factor of 2 when compared to y=sin(x
Determine (modeled) probability of each event, suppose that coins (or dice) are apparent and fair, and that what is seen are faces uppermost.
Determine the point of intersection between line you have graphed and line g(x)=1+cx, answer will be point in xy plane whose coordinates involve unknown c.
Utilize Law of Sines to solve for possible triangles which satisfy provided conditions. If the answer doesn't exist, enter DNE.
The ranch-style house needs $40,000 of capital and gives the $7000 profit. If he has $3.8 million of capital on hand, how many houses of each kind must he build for maximum profit?
Solve the following equation. Write the answers as the comma-separated list. Consider k be any integer. If there is no solution, write NO SOLUTION. 6 tanx + sec2 x = 8.
Find the foci of the byperbola {(x-5)2/10}- {(y-1)2/15}=1 (Illustrate the work). Determine the standard form equation of the parabola with directix x = -5 and focus (5,0)?
Determine the reference angle for angle given. Compute the area of the triangle with measurements given below. Round the answer to nearest square unit.
Write down equation in the equivalent exponential form. log6216=x. Write down first four terms of sequence whose general term is provided. (Illustrate the work). an = 2(4n-3)
Flying with wind, same plane travels 5800km in 5 hours. Determine the rate of plane in still air and find the rate of the wind?
Determine amplitude, phase shift, period, and vertical shift. Compute maximum and minimum monthly average temperature and months when they happen.
Light house is 2 units high, and sits at edge of the cliff above ocean. The displacement vector between boat and base of light house is?
Either illustrate the following equation is true , or determine the value of x for which equation is false. Determine exact value of cos 525.
Once a week, Mrs. Baker makes sugar cookies. First week she makes recipe, she utilizes full 2 cups of sugar called for in recipe. How much sugar does she use in fifth week of baking?
A lake is formed with the newly constructed dam. It is stocked with1,000 fish. How many years to nearest year will this take?
Determine rule of concentration function c(x) which expresses percentage of alcohol in resulting mixture as the function of number x of gallons of pure alcohol which are added.
The box with the square base and the volume of 1000 cubic inches is to be constructed. For what value of x will cost of box be $75?
Write an equation of the parabola in standard form. Determine all the properties of parabola and then graph it. Write an equation of the hyperbola in standard form. Determine all the properties of hyp
How much money should you deposit into the savings account at the end of every year at 6% interest compounded annually to earn $5725.43 interest during 10-year period?
The axis of symmetry of every parabola is parrallel to the coordinate axis. What equation of parabola whose axis of symmetry is parrallel to y axis?
Wheel sprocket is 3 inches in diameter and pedal sprocket is 4 inches in diameter. How fast in miles per hour is she going if she pedals at the rate of 100 revolutions per minute?
How much grazing area does Bessy posses? Barn is in shape of the P the top is 30ft, right side is 40ft in total, and is missing a 20 by 20 square at bottom right. Point A is in middle of 20ft side t
Draw the graph of g(x)=1/2(3^((-1/2)x-4) utilizing the parent function f(x)=3^x. Illustrate clearly what occurs to point x=1 of parent function in final g(x) graph.
Find vector v in component form that represents force of spear Hercules has thrown. (b) Hydra can't withstand the horizontal blow which is more than 1500 Newtons of force.