Answer:
19
Step-by-step explanation:
Plug in
In this question, you're simplifying the inequality by solving for x.
Solve for x:
12 > -3x + 6
<em>flip the equation:</em>
-3x + 6 < 12
<em>subtract 6 from both sides</em>
-3x < 6
<em>divide both sides by -3, while also flipping the inequality</em>
x > -2
Answer:
x > -2
a. Parameterize 
by
with 
.
b/c. The line integral of 
over is
d. Notice that we can write the line integral as
By Green's theorem, the line integral is equivalent to
where 
is the triangle bounded by , and this integral is simply twice the area of . is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
Answer: the ANSWER IS 11 sqt
Step-by-step explanation:
Factor 1331 into its prime factors
1331 = 113
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
121 = 112
Factors which will remain inside the root are :
11 = 11
To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
11 = 11
The simplified SQRT looks like this:
11 • sqrt (11)
Simplified Root :
11 • sqrt(11)
Prob(first ball being blue) = 6 / (6 + 3 + 3) = 6/12 = 1/2
Prob ( picking a yellow ball) = 3 /12 = 1/4
As the 2 events are independent the probabilities are multiplied
So the answer is 1/2 * 1/4 = 1/8
