Answer:
Step-by-step explanation:
To find:
The value of = ?
Solution:
Kindly consider the equilateral as attached in the answer area.
Let the side of triangle = units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC =
Using Pythagorean Theorem in :
Side AD =
Using Trigonometric ratio:
Putting the values of AD and BD:
Answer:
Step-by-step explanation:
I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as
which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:
which gives us, in the end,
y = 9460
Answer: 1) D 2) B
<u>Step-by-step explanation:</u>
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form where both a and b are integers.
Since is irrational and not an integer, then the expressions containing an irrational term <em>after simplified</em> cannot result in an integer.
Therefore, options <em>(i)</em> and <em>(iv)</em> are not rational expressions.
Option <em>(iii)</em> contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.