If
is true, then
is false, which in turn means
is true.
If
is false, then
is true, and so
is false.
So, because
in both cases, the statement is a tautology (always true).
If you were to put this in a table, you would have one column each for
. In the first column (
) you can think of
as an independent variable that can only take two values, true and false. In the next column (
), you would negate the value in the previous column. And so on.
It should roughly look like this:
p ... ~p ... ~(~p)
T ... F ... T
F ... T ... F
Answer:
94 square ft
Explanation:
as given in the question, the formula for surface area is 2lw + 2lh + 2wh, which means (2 × length × width) + (2 × length × height) + (2 × width × height). since these values are given, we just have to place them into the equation as such:
(2 × 5 × 4) + (2 × 5 × 3) + (2 × 4 × 3)
= 40 + 30 + 24
= <u>94</u>
so, the surface area is 94 square ft.
If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.
If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.
If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.
So 3x = 4 (mod 5) when x = 3.
<h3>The final answer is C) 3</h3>
We don't need to check D since x = 3 is a solution and it's smaller than x = 4.
If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.
Answer:
y = -3x + 6
Step-by-step explanation:
To make this in slope intercept form, you need to use one step called inverse operation, all that is, is subtracting the 3x from both sides, which will eliminate the 3x on the left and add a negative 3x on the right
