In this interactive, you are given the dimensions of a rectangular prism and the smaller cubes being used to fill the prism. Fill in the blanks by determining the number of cubes, smaller cubes, and volume of the cubes and prism. Only input numbers, and use “/” for a fraction, such as 1/5. A right rectangular prism has the dimensions 3 1 4 units, 2 units, and 4 1 2 units. It is going to be packed with cubes with dimensions of 1 4 units on all sides. The number of cubes required to fill the prism is . The volume of the prism is unit cubes plus smaller cubes with a volume of cubic units. Using the volume formula, the volume of the prism is unit cubes and of a unit cube.

Which expression is equivalent to 4 square root 6 divided by 3 root 2

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?