Let
denote the length of the pond and <span> signify its width. It's recognized that the pond's volume equals the area of its base multiplied by its depth. In this case, the base area can be computed as volume divided by depth, equating to 72000 in³ divided by 24 in, resulting in an area of 3000 in². Given that the area is expressed as x multiplied by y, we come to equation 1, 3000 = x * y. If we have x = 2y, we substitute this into equation 1, leading to 3000 = (2y) * y, simplifying to 2y² = 3000 and consequently y² = 1500, giving y = 38.7 in. Thus, x = 2y yields x = 2 * 38.7 = 77.4 in. The conclusion is that the pond's length is 77.4 in while its width is 38.7 in.
</span>
By solving the equation -x+8+3x=x-6, we rearrange it to 2x+8=x-6. This leads to the simplification 2x-x=-6-8, yielding x=-14. The correct answer is letter B.
Answer:
Lily must file her income taxes
Step-by-step explanation:
Response:
The conclusion drawn by the scientist is flawed because it relies on a subjective assessment ("significantly greater than").
What is meant by “significantly greater”?
A more objective and precise method would involve establishing a significance level, for example, 0.05 or 0.01, to compute the sample means and standard deviations, and then conducting appropriate hypothesis testing to determine whether the mean differences are indeed significant.
Step-by-step explanation:
-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I combine these equations term by term
8x - 3y = 2
-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I combine equations
-x -y = 56
8x - 3y = 2
-x -y = 56
This represents the system after reduction (now with only two variables, x and y)
