answer:We know that tan 60^circ = frac{sin 60^circ}{cos 60^circ}. By drawing a 30^circ-60^circ-90^circ triangle, we can see that sin 60^circ = frac{sqrt{3}}{2} and cos 60^circ = frac{1}{2}. Therefore, tan 60^circ = frac{frac{sqrt{3}}{2}}{frac{1}{2}} = boxed{sqrt{3}}. The answer is: sqrt{3}

answer:If James spends 3 hours vacuuming, he spends 3 x 3 = 9 hours on the rest of his chores. Therefore, the total amount of time he spends on his chores is 3 + 9 = 12 hours. 12 The answer is: 12

answer:The number of students must be a multiple of 6, 7, and 8, which means it must be a multiple of the least common multiple of these three numbers. The least common multiple of 6, 7, and 8 is 168. Therefore, the smallest number of students in the school band is boxed{168}.The answer is: 168

answer:First, we find g(-3) by plugging -3 into the function g(x): g(-3) = 3(-3) + 4 = -9 + 4 = -5. Next, we find f(g(-3)) by plugging -5 into the function f(x): f(g(-3)) = f(-5) = (-5)^2 = 25. So, f(g(-3)) = boxed{25}.The answer is: 25