Answer:

Step-by-step explanation:
We are given the following equation:

We have to convert it into polar form.
We put

Putting values, we get:

is the required polar form.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Here we have two expressions:
4*(2 + p)
14 + p
We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.
First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.
4*(2 + 2) = 4*4 = 16
14 + 2 = 16
In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.
Now let's do it with p = 8
4*(2 + 8) = 4*10 = 40
14 + 8 = 22
Now we can see that the results are different, then we can conclude that the expressions are not equivalent.
Of the 5 routes Tanya can choose from, 2 routes will take 30 minutes. This means that the probability is:
2/5 = 0.4
The answer is 40%.
Answer:
The graph of g(x) is shifted 4 units down.
The answer is in the attached image