
the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.
now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".
for example, how did we get 165 for the 4th term.... well (55*9)/3
how did we get 462 for the 6th term? well (330*7)/5.
and then you can just expand it from there.
Answer:
By doubling each day
Step-by-step explanation:
Jay is increasing daily a fixed amount of pennies to his collection. That's an arithmetic series, because to obtain the next term you have to do an addition.
To get a geometric series or progression you have to find the next term through multiplication.
So, if he wants to convert his series into a geometric series, he'd have to double his contribution to his collection each day (as an example).
Answer:
B. Sine.
Step-by-step explanation:
We need to find the value of x which is opposite to the given angle (50 degree). Also we are given the length of the hypotenuse.
Sine = opposite / hypotenuse so we would use the sine.
Its worth committing this mnemonic to memory, which helps to find the required trig ratio:
SOH-CAH-TOA.
SineOpposite/Hypotenuse- CosineAdjacent/Hypotenuse-TangentOpposite/Adjacent.
Answer:
29. See table below
30. See attached graph
31. The slope is m= 0.10
The slope represent the cost for every additional call minute.
Step-by-step explanation:
The cost is $0.5 first minute and $0.10 for any additional minutes
If c is the total cost of a call that last t minutes then;
c= 0.10t + 0.5-----where t is the time the call lasted
29. Use the equation above to create the table as;
t {x} c{y}
1 0.6
2 0.7
3 0.8
4 0.9
5 1.0
6 1.1
The graph of this plot is as attached , where the coordinates are
{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}
The slope can be found using the formula;
m=Δy/Δx
m= 1.1 - 0.6 / 6-1
m= 0.5 / 5 = 0.10
The slope represent the cost for every additional call minute.
A random variable is UNIFORMLY DISTRIBUTED whenever the probability is proportional to the interval's length.