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Write a system of equations for the problem, and then solve the system. Two cars leave a city and head in the same direction. After 4 hours, the faster car is 24 miles ahead of the slower car. The slower car has traveled 164 miles. Find the speeds of the two cars.
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. and determine the domain and range of the variables
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the interest would have been the same. Find the principal and the rate.
How high does it go before returning to the ground?
Using set theory to solve for the probability. A survey of a group of military personnel revealed the following information
find the area of the parcel of land that is , the area under the curve y=x^3+1 over the interval 0 and 1 where x and y are in hundreds of feet. If the land in the parcel is appraised at RM12 per square feet, what is the total value of the parcel? ..
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
Let (S,d) be a metric space and define the function u(x,y) = d(x,y)/(1+d(x,y)) for all x,y
If a blueprint 1/4 inch equals 12 inches, what is the actual length in feet of a steel bar represented on the blue print by a line 3 3/8 inches long?
The strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from a circular cylindrical log of radius r.
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
A particle has position function r(t). If r'(t)=c x r(t), where c is a constant vector, describe the path of the particle.
Describe and give examples of the three methods for solving a system of equations.
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