Mathematics Algebra Level: Misc Level

Let f(x)=ex for -2<x< 3. Use a Riemann sum with n=5 subintervals and sample points the midpoints of the intervals to estimate the area A between the graph of f and the x-axis.The answer that best describes the estimate is

a.A=19.950

b.A=11.611

c.A=19.143

d.A=31.561

e.None of the other choices is the required Riemann sum

Mathematics Algebra Level: Misc Level

Jacob can do 4 jobs in 5 hours;when kristine helps, together they manage to do 56 jobs in 20 hours.How long would it take Kristine to do one job?

Mathematics Algebra Level: Misc Level

Tickets to an opera at the Masonic Auditorium cost $14 for main floor seats and $10 for the balcony seats.If $8600 must be collected to meet expenses, what is an equation for the possible combinations of ticket sales to cover costs?

Mathematics Algebra Level: Misc Level

Determine the linear function f(t) with slope=-1 and f(2)=1.

Mathematics Algebra Level: Misc Level

Suppose q and p are linearly related such that p=30 when q=5, and p=50 when q=7. Find p=when q=15.

A)130 B)100 C)140 D)110 E)120

Mathematics Algebra Level: Misc Level

A cubic shipping container had a volume of v^{3} cubic meters. The height of the container was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now v^{3}+ 2v^{2}-3v.Find out the following;

a. By how many meters the height was decreased?

b. By how many meters the width was increased?

Mathematics Algebra Level: Misc Level

Pat travels 70 miles on her milk route and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob,and her route takes 1/2 hour longer than Bob,s Find the speed at which each of them is traveling.

Mathematics Algebra Level: Misc Level

Solve the inequality x^{2}+12x>0. State the solution set for the inequality.

Mathematics Algebra Level: Misc Level

Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert(2x+6) paces from Castle Rock.Vanessa has the other half of the map. Her half indicates that to find the treasure,one must go to the Castle Rock,walk,x, paces to the North, and then walk (2x+4) paces to the East.If they share their information, then they can find ,x, and save a lot of digging.What is ,x,?

Mathematics Algebra Level: Misc Level

Debbie plans on investing enough money so that she will have $2000 at the end of two years. How much money will she have to invest now if her money will grow according to the follwing formula; 2000=P (1.025)4?

Mathematics Algebra Level: Misc Level

Solve for y;

2y^{-2}- 3y^{-1}-2=0.

Mathematics Algebra Level: Misc Level

Solve the following equation for value of,m,

5/(2m+6) - 1/(m+1) = 1/(m+3)

Mathematics Algebra Level: Misc Level

Solve the following equation for,x, and check for extraneous solutions;

(4-x)^{½} - (x+6 )^{½ }= 2

Mathematics Algebra Level: Misc Level

Ifthe width of a rectangle is 1 inch less than its length and the diagonal is 1 inch longer than its length, find the length and the width.

Mathematics Algebra Level: Misc Level

Find the dimensions of a rectangle whose length is 40 inches more than its width and whose perimeter is 300 inches.