Answer:
<h2>It is 48 cm^3</h2>
Step-by-step explanation:
I hope that is useful for you :)
A. Plants release oxygen to the air for us to breathe.
<span>Let </span>N<span><span>= 10^</span><span>44 </span><span>and </span>n</span><span><span>= 10^</span>22</span>.
Each molecule that we breathed
in has probability (N-n)<span><span>/N </span><span>of not being from Caesar’s last breath. Also, the molecules
breathed in are independent if it is assumed that
sampling with replacement is performed. So the probability of at least one molecule being shared with Caesar’s last breath is:</span></span>
<span> 1</span><span><span>-[</span>(</span>N-n<span><span>)^</span><span>n/</span><span>N^</span><span>n] </span>= </span>
= 1-[(10^44-10^22)^(10^22) /
10^44^(10^22)]
Simplifying will result in:
= 1- (1/e)
<span>This is about a 63% chance!</span>
C (1,8) and (4,5). To interpret a system of equations when shown a graph, look for the points at which the two function intersect or meet. in this case they meet at both points (1,8) and (4,5)
Answer:
ABOVE the x-axis
Step-by-step explanation:
Please use "^" to denote exponentiation: y = x^2 + 2x + 3
To find the vertex, we must complete the square of y = x^2 + 2x + 3, so that we have an equivalent equation in the form f(x) = (x - h)^2 + k.
Starting with y = x^2 + 2x + 3,
we identify the coefficient of x (which is 2), take half of that (which gives
us 1), add 1 and then subtract 1, between "2x" and "3":
y = x^2 + 2x + 1 - 1 + 3
Now rewrite x^2 + 2x + 1 as (x + 1)^2:
y = (x + 1)^2 - 1 + 3, or y = (x + 1)^2 + 2. Comparing this to f(x) = (x - h)^2 + k, we see that h = 1 and k = 2. This tells us that the vertex of this parabola is at (h, k): (1, 2), which is ABOVE the x-axis.