To transform the function
to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have
To transform the function
to have the midline
we need to subtract
by 4, so we have
,
To transform the function
to have period of
, we need to divide the original period
by 4, so we have
. Note that it is the
gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given
which is the last option
Tony’s backpack can carry weight up to 22 but not more that that
If the variable n represents the total weight carried by tony
Then ; n less than or equal to (n=1+3+3b
=4+3b
Where b represents book
4+3b is less or equal to 22
3b is less or equal to 18
b is less or equal to 6
Therefore Tony’s backpack cannot carry more than 6 books
20
the input value in the x column is multiplied by 5 to get the output value in the y column
Answer:
130°
Step-by-step explanation:
180-50=130°
Answer : The substances half life in days is, 5.6 days.
Step-by-step explanation :
Half life : It is defined as the amount of time taken by a radioactive material to decay to half of its original value.
All radioactive decays follow first order kinetics.
The relation between the half-life and rate constant is:
where,
k = rate constant = 0.1235 per days
= half-life
Now put all the given values in the above formula, we get:
Thus, the substances half life in days is, 5.6 days.
