Answer:
24
Step-by-step explanation:
Order of Operations: BPEMDAS
B - Brackets
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Step 1: Write expression
6 · [20 ÷ (15 - 10)]
Step 2: Bracket Parenthesis
6 · [20 ÷ 5]
Step 3: Brackets
6 · 4
Step 4: Multiply
24
Answer: 
Step-by-step explanation:
Here, the given expression,

Where x is the number of years.
We can write,
( Because
)
⇒
Since, In the expression
, x is isolated in exponent and it is also equivalent to the given expression.
Therefore, it is our required answer.
Answer: The negations are:
1. The train is not late and my watch is not fast.
2. Dogs don't bark or cats don't meow.
Step-by-step explanation:
Hi!
De Morgan's laws for two propositions P and Q are:
1. ¬(P ∨ Q) = (¬P) ∧ (¬Q)
2. ¬(P ∧ Q) = (¬P) ∨ (¬Q)
where the symbols are,
¬ = not
∨ = or
∧ = and
1. In this case the proposition is P ∨ Q, with
P = "the train is late"
Q = "my watch is fast"
Then by law 1: ¬(P ∨ Q) = "The train is not late and my watch is not fast"
2. In this case the proposition is P ∧ Q, with
P = "dogs bark"
Q = "cats meow"
Then by law 2: ¬(P ∧ Q) = "Dogs don't bark or cats don't meow"
Answer:
Option (B)
Step-by-step explanation:
From the picture attached,
To find the measure of segment GE,
Measure of HE = HG + GE and HE = HF + FE
HF + FE = HG + GE
By substituting the values of the given segments in the equation,
(3x - 129) + 4 = (13x - 993) + (3x - 185)
(13x - 993) + (3x - 185) - (3x - 129) = 4
Therefore, Option (B) will be the correct answer.