Find the requested area or volume.Area of a triangle: Base width = 2
feet, 
A. 3
sq feet
B. 6
sq feet
C. 21
sq feet
D. 
sq feet
Answer: A
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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = cos2(10x)
A. 
+
B. 
+
C. 
+
D. 
+
Solve the equation using the quadratic formula.(3x - 2)(x + 1) = 0
A. 
, -1
B. 
, 1
C. 
, 0
D. 
, -1
Solve the problem.Big Round Cheese Company has on hand 45 pounds of Cheddar and 49 pounds of Brie each day. It prepares two Christmas packages-the "Holiday" box, which has 5 pounds of Cheddar and 2 pounds of Brie, and the "Noel" box, which contains 2 pounds of Cheddar and 7 pounds of Brie. Profit on each Holiday assortment is $6, profit on each Noel assortment is $8. The initial and final tableaux are as follows:?
?
(initial)(final)Here, x = the number of Holiday boxes per
day and y = the number of Noel boxes per day.(a) Give the optimal production schedule and the resulting profit.(b) How much excess Cheddar and excess Brie remain each day if this plan is followed? What will be an ideal response?
Solve the problem.Keyana takes a job with a starting salary of $25,000 for the first year with an annual increase of 5% beginning in the second year. What is Keyana's salary, to the nearest dollar, in the eighth year?
A. $36,174 B. $33,746 C. $37,377 D. $35,178