answer:The constant term of h(x) is the product of the constant terms of f(x) and g(x). Since the constant term of f(x) is -4 and the constant term of h(x) is 3, the constant term of g(x) must be 3/(-4)=-3/4. Therefore, g(0) = boxed{-frac{3}{4}}. The answer is: -frac{3}{4}

answer:The volume of a cylinder is given by the formula pi r^2 h, where r is the radius and h is the height. Since the cylinder has a volume of 54pi cubic centimeters, we have pi r^2 h = 54pi. Dividing both sides of the equation by pi, we get r^2 h = 54. The volume of a cone is given by the formula frac{1}{3} pi r^2 h, where r is the radius and h is the height. Since the cone has the same radius and height as the cylinder, we have frac{1}{3} pi r^2 h = frac{1}{3} pi (r^2 h) = frac{1}{3} pi (54) = boxed{18pi}. The answer is: 18pi

answer:The value of each Best Buy gift card is 500, so the value of x Best Buy gift cards is 500x dollars. The value of each Walmart gift card is 200, so the value of 9 Walmart gift cards is 9 * 200 = 1800. After sending the codes for 1 Best Buy gift card and 2 Walmart gift cards, Jack can still return x - 1 Best Buy gift cards and 9 - 2 = 7 Walmart gift cards. The value of the remaining Best Buy gift cards is (x - 1) * 500 = 500x - 500. The value of the remaining Walmart gift cards is 7 * 200 = 1400. The total value of the gift cards that Jack can still return is (500x - 500) + 1400 = 500x + 900. We are given that the total value is 3900, so we can write: 500x + 900 = 3900. Subtracting 900 from both sides, we get: 500x = 3000. Dividing both sides by 500, we get: x = 6. The value of x is 6. 6 The answer is: 6

answer:To solve this problem, we need to determine the value of x, which represents the number of balls of wool used for each sweater. Let's break down the information given: Number of scarves made by Aaron: 10 Number of sweaters made by Aaron: 5 Number of sweaters made by Enid: 8 Number of balls of wool used for each scarf: 3 Number of balls of wool used for each sweater: x Total number of balls of wool used: 82 We can set up the equation as follows: (Number of scarves made by Aaron * Number of balls of wool used for each scarf) + (Number of sweaters made by Aaron * Number of balls of wool used for each sweater) + (Number of sweaters made by Enid * Number of balls of wool used for each sweater) = Total number of balls of wool used (10 * 3) + (5 * x) + (8 * x) = 82 Let's simplify and solve for x: 30 + 5x + 8x = 82 13x + 30 = 82 To isolate x, we subtract 30 from both sides of the equation: 13x + 30 - 30 = 82 - 30 13x = 52 To solve for x, we divide both sides of the equation by 13: x = 52 / 13 x = 4 The value of x is 4. 4 The answer is: 4