Answer:
y = 12
Step-by-step explanation:
set up equation for 'y varies inversely with x': y = k/x
where 'k' is the constant of variation
8 = k/6
therefore, k = 48
value of y when x = 4: y = 48/4; therefore, y = 12
Answer:
Graph = Cardioid
Axis of symmetry = y-axis
Critical points= 
Step-by-step explanation:
General equation for this type of cardioid is:
a ± b sinθ
Condition for a cardioid = 
Axis of symmerty according to the graph of 2 + 2 sinθ is along y-axis.
Critical points:
r = 2 + 2 sinθ ⇒ r = 2(1 + sinθ) ⇒ r' = 2 cosθ
∵derivative of 1 + sinθ = cosθ
For finding critical point the derivative is equal to zero,
2 cosθ = 0 ⇒ cosθ = 0
the value of cosθ is equal to zero at intervals: 
So, critical points = 
There are 4 suits in a deck of cards: hearts, diamonds, spades, and clubs.
Therefore there are 13 cards of each suit (52/4).
The possibility of choosing a spade in a deck of 52 cards is 13/52 = 25%
Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that
and
.
Thus:


Let's do the first part first: (Recall how to divide fractions)

For the second term:

So, all together: (same denominator; combine terms)

Note the numerator; it can be derived from the Pythagorean Identity:

Thus, we can substitute the numerator:

Everything simplifies to 1.
The answer is A because you have to subtract the pink ribbon by the red ribbon.