answer:We first multiply the complex number (2+i) by i, where i is the imaginary unit: (2+i)i = 2i + i^2. Since i^2 = -1, we can simplify the expression: 2i + i^2 = 2i - 1. The general form of a complex number is a + bi, where a is the real part and b is the imaginary part. Thus, in our expression, 2i - 1, the real part is -1 and the imaginary part is 2. Therefore, the imaginary part of the complex number (2+i)i is boxed{2}.

answer:Gavin has 23 shirts in total. If 6 of them are blue, then the number of green shirts he has is: 23 (total shirts) - 6 (blue shirts) = 17 (green shirts) Gavin has boxed{17} green shirts.

answer:Firstly, rearrange the equation: [ x^2 + 6x = 0 ] Next, factorize the equation: [ x(x + 6) = 0 ] Now, set each factor equal to zero and solve for x: 1. x = 0 2. x + 6 = 0 Rightarrow x = -6 Check which solutions are nonnegative. Here, x = 0 is nonnegative, but x = -6 is negative. Thus, we only consider x = 0. Therefore, there is boxed{1} nonnegative solution to the equation x^2 = -6x.

answer:First, let's find out how many boxes the company has stored. We know that the company pays 480 per month for storage, and the cost per box is 0.8 per month. So, we can calculate the number of boxes by dividing the total monthly cost by the cost per box: Number of boxes = Total monthly cost / Cost per box Number of boxes = 480 / 0.8 per box Number of boxes = 600 boxes Now, we know that the total volume occupied by these boxes is 1.08 million cubic inches. To find the volume of one box, we divide the total volume by the number of boxes: Volume of one box = Total volume / Number of boxes Volume of one box = 1,080,000 cubic inches / 600 boxes Volume of one box = 1800 cubic inches Assuming that the boxes are perfect cubes (which is a common shape for storage boxes), the volume of a cube is given by the formula: Volume = Length^3 Where Length is the length of one side of the cube. We can solve for Length by taking the cube root of the volume: Length = Cube root of Volume Length = Cube root of 1800 cubic inches Calculating the cube root of 1800 gives us the length of one side of the box: Length ≈ 12.2 inches Therefore, the length of the boxes is approximately boxed{12.2} inches.