Use the like bases property to solve the equation: 16^x = 1/4 x=
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Answer: (a) The slope of the line is 5 and the y-intercept is (0,10). (b) The rate of change is 5 and the initial amount is 10.
Explanation:
The given equation is,
.... (1)
(a)
The slope intercept form of the a line is,
.... (2)
Where, m is slope and (0,b) is y-intercept.
On comparing (1) and (2) we get,
Therefore, the slope is 5 and the y-intercept is (0,10).
(b)
The rate of change is also known as slope therefore the rate of change is 5.
To find the initial amount put x=0 in the given equation.
Therefore, the initial value is 10.
The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.
The initial amount shows the number of baskets of berries the workers picked before the workers starts harvesting.
(c)The graph is shown below.
Since x represents the time in hours, therefore x is always greater that or equal to 0.
Answer:
Step-by-step explanation:
sin2x = 2sinx*cosx
= * cosx
= * cosx
= 2
=
= 24/25
Answer: Probability that the entire batch will be accepted is 0.658.
Yes, this suggests entire batch of good CDs as it is the only condition to get accepted.
Step-by-step explanation:
Since we have given that
Number of CDs = 507
Number of defective = 65
Since the entire batch will be accepted.
So, the probability of success is p =
and the probability of failure is q =
Number of CDs selected = 3
So, Probability that the entire batch will be accepted is given by
Hence, Probability that the entire batch will be accepted is 0.658.
Yes, this suggests entire batch of good CDs as it is the only condition to get accepted.