Answer:
7/12=0.583333333333
Step-by-step explanation:
Answer:
Option: B is the correct answer.
B) Decay, y- intercept = 3.4, rate is 34%
Step-by-step explanation:
We are given an exponential equation as follows:
We know that any exponential function of the type:
is growth function if: b>1
and is a decay function if 0< b< 1
Hence, here we have: b=0.66<1
Hence, the function is a decay function.
Also, we know that the y-intercept of a function is the point where x=0
Hence, we take x=0
we have: 
Hence, the y-intercept is: 3.4
Also, the rate of a function is denoted by 'r'
where b=1-r
⇒ 0.66=1-r
⇒ r=1-0.66
⇒ r=0.34
Hence, the rate is: 34%
option: B is the correct answer.
Answer: 648
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Explanation:
We have this set of digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
From that set, we can only pick three items. We cannot select the same digit twice.
Consider a blank three digit number such that it is composed of slot A, slot B, slot C.
Since the number must be larger than 100, this means that we cannot select 0 as the first digit. We go from a pool of 10 digits to 10-1 = 9 digits for our first selection.
In other words, we have this subset to select from
{1, 2, 3, 4, 5, 6, 7, 8, 9}
So we have 9 choices for slot A.
For slot B, we also have 9 choices since 0 is now included. For instance, if we selected the digit '4' then we have this subset of choices left over: {0, 1, 2, 3, 5, 6, 7, 8, 9} which is exactly 9 items.
For slot C, we have 9-1 = 8 items left to choose from. For example: If we choose '4' for slot A, and '2' for slot B, then we have this subset to choose from: {0, 1, 3, 5, 6, 7, 8, 9} exactly 8 items
In summary so far, we have...
9 choices for slot A
9 choices for slot B
8 choices for slot C
Giving a total of 9*9*8=81*8=648 different three digit numbers. You'll notice that I'm using the counting principle which allows for the multiplication to happen. Think of a probability tree.
Answer:
Step-by-step explanation:
Since you're finding the angle, you use the inverse of sin, cos, and tan.
