When multiplying or dividing, make sure you know how many sigfigs are in your factors. The factor with thes least amount of sigfigs is the one you want to know. When you get your final answer, make sure you have the same amount of sigfigs that the factor had.
Example
34.07 has 4 sigfigs
6.4 has only two
34.07x6.4=218.048
But we only want two sigfigs so 218.048 becomes 220
Answer:
The statement is a tautology.
Step-by-step explanation:
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
We can see from the truth table that the last column contains only true values. Therefore, the statement is a tautology.
Logical equivalences are a type of relationship between two statements or sentences in propositional logic. To simplify an equivalency, start with one side of the equation and attempt to replace sections of it with equivalent expressions. Continue doing this until you have achieved the desired statement form.
by implication law
by implication law
by de Morgan’s law
by Double Negative
by de Morgan’s law
by commutative and associative laws
by distributive laws
by negation and identity laws
by communicative and associative laws
by negation and domination laws
Therefore, the statement is a tautology.
Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) | / √(2² + (-1)²)
d = | -4 + 0 - 4 | / √(4 + 1)
d = | -8 | / √5
d = 8 / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)
Answer:
27
Step-by-step explanation:
Using Bedmas we have to calculate the x^2 first
Since we know x=3, x^2 = 3^2 = 9
So then, the value would be 3 x 9 = 27
Hope You Found This Helpful :)