Answer:
b.) 2
Explanation:
Parallel slopes have same slope.
Perpendicular slopes have negatively inverse slope.

Comparing it with slope intercept form, "y = mx + b" where m is slope.
Here parallel slope: -1/2
Perpendicular slope: -(-1/2)⁻¹ = 2
Answer:
Step-by-step explanation:
The range of f(x) = cos(x) is [-1, 1].
That of f(x) = A cos(x) is [-A, A], and
That of f(x) = A cos(x) + 2 is [ b-A, b+A ].
The function g(x) = A sin(x)+b has the same range.
Answer:
So even though it'll be a little strange, you do just take the miles and divide by the hours. Since 1 1/3 is the same as 4/3 then the rate = (4/3)/(1/4).
That's the same as 4/3 * 4 = 16/3 miles per hour. Or 5 1/3 miles per hour.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Part 1: Solve for the total amount of marbles
To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.
8 + 14 + 12 = 34 marbles
Part 2: Determine the probabilities
Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.

The probability of these events occurring simultaneously is 15%.