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The volume of a rectangular prism is given by the formula V=lwh (lengthxwidthxheight). What are the length, width, and height of the prism if the volume is 3x^3+9x^2+6x? Answer will not have exact numeric dimensions but rather three algebraic terms that represent them. Must show how the problem was solved by using correct mathematical symbols and thoroughly explaining with words in each step.
A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot
Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6 inches at the top and a height of 10 inches.
How much red paint needs to be added to 6L of white paint to create the same shade of pink ( Explain you're work and solve.)
Suppose that 450 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral w..
two car models are tested for a difference in average gas mileage. ten cars of model a averaged 32.1 miles per gallon
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
The solution to minimization, The ABC small-scale industry has production facilities for two different products. Each of the products requires three different operations
the score of students taking the act college enterance examination are normally distributed with mean 20.1 and
If G = and H is a subgroup of G, show that H is the normal subgroup of G if and only if x^-1Hx contained in H for all x belonging to X. ALSO show that is normal in G if and only if gXg^-1 contained in for all g belonging to G.
How many of the students surveyed took math, English or physics? How many students took none of the three subjects?
If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share and another 75 shares at $130 per share. What is the mean cost per share?
Vectors : Identities and Dot Products, How could you use the properties of the dot product to prove the following identities
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