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James bought 5 apples and 10 oranges for $4. Donald bought 3 apples and 9 oranges for $3. The shop keeper strictly told that there will not be any discounts. What is the cost of an apple and an orange?
Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
how much energy is needed to increase the temperature of 755 g of iron from 283 k to 403 k.
Based on research you will conduct, you will submit a written report describing what you have learned about an artist or musician who used mathematics as part of his/her work. The report is due on the last day of the module (Sunday at 11:59pm)..
Motion of an Object The position of an object moving along a straight line is given by s=t √(2t2+1) (0 ≤ t ≤ 5). where s is measured in feet and t in seconds. Find the velocity and acceleration of the object after 2 sec.
A new bridge is being constructed. The space between the support needs to be 1050 feet; the height at the center of the arch needs to be 350 feet. An empty tanker needs a 280 foot clearance to pass beneath it.
The interest formula shows how interest, rate, and time are related. It gives you a way of finding one of these values if the other three values are known. Even though you try to be careful in your calculations, there will always be that occasion ..
A firm wishes to bid on a contract that is expected to yield the following after-tax net cash flows at the end of the year.YEARNET CASH FLOW
Use the substitutions x1=x and x2=x' to rewrite the following second order differential equation as a first order system of differential equation in the variables x1, x2 and t
Probability Problem explained in this solution. Supose a pill exists with the property that one out of every 100 such pills contains a lethal amount of a substance, and that the other 99 are harmless. Caluclate how many people would be expected to..
a trough is 10ft long and its ends have the shape of isoceles triangles that are 3ft across at the top and have a
A trapezoid with bases 4 m and 8 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
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