Answer:
27 calls
Step-by-step explanation:
Let T(x) represent total sales.
Then T(x) = $150 + ($2/call)x, where x is the number of calls made.
If T(x) = $204, we can solve for x, the number of calls made:
$204 = $150 + ($2/call)x, or
$ 54
----------- = 27 calls
$2/call
A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:
n!/((n-r)!r!)
In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.
5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5
5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10
5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10
5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5
Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.
Now we add together the combinations
1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.
The answer is 32.
-------------------------------
Note: There is also an equation for permutations which is:
n!/(n-r)!
Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.
We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.
I hope this helps! If you have any questions, let me know :)
The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is 
The given parameters are:


<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:



So, the vertex of the parabola is:

Express properly as:

A point on the graph would be:

The equation of a parabola is calculated using:

Substitute
in 

Substitute
in 


Collect like terms

Solve for a


Simplify

Substitute
in 

Hence, the equation of the parabola that describes the path of her jump is 
See attachment for the graph
Read more about equations of parabola at:
brainly.com/question/4074088
Answer:1564cm cube
Step-by-step explanation: v=
r2h
v=22/7*6*6*14=1564.containter b volume of water is the total volume in container a so you just have to find container a volume
Answer:
It equals 74.88
Step-by-step explanation:
U jus multiply them