Identify the quadrant for the angle ? satisfying the following conditions.sin ? > 0 and cos ? > 0

A. Quadrant IV
B. Quadrant III
C. Quadrant II
D. Quadrant I


Answer: D

Mathematics

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Provide an appropriate response.Use the 1960s peak annual growth rate of 4.1% and population of 2 million to predict the current growth rate with a logistic model. Assume a current country population of 8 million. Assume the carrying capacity is 24 million.

A. 2.98% B. 4.47% C. 4.10% D. 7.45%

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Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.1 ? 6 + 2 ? 6 + 3 ? 6 + . . . + 6n = 

What will be an ideal response?

Mathematics

Use a graph to determine the number of solutions the system has.6x - 9y = 9-8x + 12y = 12

A. Infinitely many solutions B. No solution C. One solution

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Write a system of equations for the problem, and then solve the system.The owner of Nuts2U Snack Shack mixes cashews worth $6.25 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?

A. Cashews: 0.07 lb; peanuts: 0.43 lb B. Cashews: 0.29 lb; peanuts: 0.21 lb C. Cashews: 0.10 lb; peanuts: 0.40 lb D. Cashews: 0.21 lb; peanuts: 0.29 lb

Mathematics