The most generic sine function you can write is
Of all these constant, affects the amplitude,
affects the wave length,
and
cause horizontal/vertical translation.
In your case,
And we are interested in the amplitude, so we focus on
The amplitude of the standard sine function is 1, so when you multiply by , the new amplitude is
itself. In our case
, so the amplitude is 4.
Given:
4/5 of a pie left after their family picnic.
Each slice of pie was 1/15 of the total pie.
To find:
The number of remaining slices of pie.
Solution:
Let x be the number of remaining slices of pie.
Part of total pie in one slice =
Remaining part of total pie in x slices =
According to the question, 4/5 of a pie left after their family picnic.
Using cross multiplication, we get
Divide both sides by 5.
Therefore, the remaining number of slices of pie is 12.
It is given in the question that
Abbie decides to start doing crunches as part of her daily workout. She decides to do 10 crunches the first day and then increase the number 2 each day after that.
So the sequence of number of crunches are
Here the first term, a , ia 10 and the constant difference,d, is 2.
To find the nth term, we use the formula of nth term of arithmetic series, which is
Substituting the values of a and d, we will get
Therefore , correct option is d .