Caitlin drove from Greensville to Bluesburg at a speed of 50 mi/h. On the way back, she drove at 75 mi/h. The total trip took 7 1/2 h of driving time. Find the distance between these two cities.
What will be an ideal response?
225mi
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Evaluate or simplify the given expression.cos(2 sin-1 x)
A. 2x2 + 1 B. 1 - 2x2 C. 1 D. 1 - x2
Solve.Elissa sells two breeds of dogs, Alaskan Malamutes and Great Pyrenees. She has 114 feet of fencing to enclose two adjacent rectangular dog kennels, one for each breed. An existing fence is to form one side of the kennels, as in the drawing below. Let x represent the measurement indicated. Express the total area of the two kennels as a function of x. Graph the function and from the graph determine the value of x, rounded to the hundredths place, that will yield the maximum area.
A. 19.17 feet B. 19.33 feet C. 19.00 feet D. 28.50 feet
Solve the problem using matrices.A company manufactures three types of wooden chairs: the Kitui, the Goa, and the Santa Fe. To make a Kitui chair requires 1 hour of cutting time, 1.5 hours of assembly time, and 1 hour of finishing time. A Goa chair requires 1.5 hours of cutting time, 2.5 hours of assembly time and 2 hours of finishing time. A Santa Fe chair requires 1.5 hours of cutting time, 3 hours of assembly time, and 3 hours of finishing time. If 41 hours of cutting time, 70 hours of assembly time, and 58 hours of finishing time were used one week, how many of each type of chair were produced?
What will be an ideal response?
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.
A. - 2
B. 10
C. 5
D. 4