Answer:
7/9
Step-by-step explanation:
the line above the 7 just means that it is repeating. so instead of writing 0.777777777, you just pu t the line on top
This answer uses NMF, which can be found out about in my profile:
We know that the length has to equal the width and height. This means that the amount of cubes used in total has to be the cube (power of 3) of the side length.
The answer is
floor#({3}√{x}) = {3}√{x}
where x is your possible answers and the statement is true.
If we do x = 81, then we can do
{3}√{81} ≈ 4.33
floor#(4.33) ≠ 4.33
therefore the answer is not 81
x = 243:
{3}√{243} ≈ 6.24
floor#(6.24) ≠ 6.24
x = 486:
{3}√{486} ≈7.86
floor#(7.86) ≠ 7.86
x = 729:
{3}√{729} = 9
floor#(9) = 9
Because they are equal, the number of cubes used is 729.
<span>First of all, a solution to a system can be thought of in two ways: Graphically, the solution is where the lines produced by the two equations intersect. If you graphed y = -x +3 and also graphed y = 2x + 1, the solution is where the graphs 'cross' or intersect. Numerically, the solution to the system is where a particular x-value produces the same y-value in each equation. The solution would be found numerically when we plugged in a particular value for x into both equations and the y-value is the same for both equations.
For part 5a.) We know the solution is between the highlighted rows of x = 0.5 and x = 1 because the line y = -x +3 decreases while the line y = 2x+1 increases. It is easiest to think of it graphically. We know that y = -x +3 and y = 2x+1 are both lines, so we can easily sketch the graphs of each using the table. The line y = -x+3 would go through the point (0.5, 2.5) and then continue downward to the point (1,2). Meanwhile the line y = 2x + 1 would go through the point (0.5,2) and continue upward to the point (1,3). Thus in-between the x-values 0.5 and 1, one of the lines is going downward from 2.5 to 2, while the other is going upward from 2 to 3. Somewhere in this range the two lines must have an intersection point, which we know is the solution to the system.
For part 5b.) we can complete the table by plugging in the given x-value into each of the equations. The table should look as follows:
x y = -x+3 y=2x+1
0.5 2.5 2
0.6 2.4 2.2
0.7 2.3 2.4
0.8 2.2 2.6
0.9 2.1 2.8
1 2 3</span>
The answer would be -4 3/20. If you divide 83 by 20 you will get 4 R3 resulting in the mixed number -4 3/20
If you convert it to a scientific notation it should be written out
7.962*10^-1.
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.
I hope this helps.