Answer:
x = 4
Step-by-step explanation:
3x -5 = -2 + 9
-2 + 9 = 7 so now its 3x - 5 = 7
add 5 to the -5 so it cancels itself out. then add the 5 to 7 so it become 12. the you have 3x = 12
divide 12 ÷ 3 = 4
x = 4
You can convert 1000 to hex and see how many digits that requires:

So every integer below 1000 needs up to 3 digits.
Alternatively, we know that

, and that

requires

digits in its hex representation (e.g.

). Taking the logarithm, we get

, and adding 1 gives the number of digits needed to represent

. Similarly,
Answer:
Jude is not correct
Step-by-step explanation:
The volume of a square pyramid is given as:

where a = base edge and h = height
Hence, the volume of the square pyramid with base edge of 7 in and height of 7 in is:

V =
≅ 
The volume of a cylinder is given as:

where r = radius and h = height
Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

V =
≅ 
Since their volumes are not equal, Jude is not correct.
<u>Given</u>:
Given that the graph of a line with coordinates (-3,2) and (0,-2)
We need to determine the slope of the line parallel to the given line.
<u>Slope</u>:
The slope of the line can be determined using the formula,

Substituting the coordinates (-3,2) and (0,-2), we have;

Simplifying, we get;

Thus, the slope of the given line is 
<u>Slope of the parallel line:</u>
The parallel lines always have the same slope.
Thus, the slope of the parallel line is 
Hence, the slope of the parallel line is 
Therefore, Option c is the correct answer.