Permutations are written as nPx where n is the number of total choices possible and x is the number of choices that will be used. This is calculated as nPx = n! / (n-x)!.
Permutations represent the number of ways we can choose x objects from n possibilities where the order of selection matters.
Answer:
0.18
Step-by-step explanation:
Answer:
5.5 days (nearest tenth)
Step-by-step explanation:
<u>Given formula:</u>
= initial mass (at time t=0)- N = mass (at time t)
- k = a positive constant
- t = time (in days)
Given values:
- = 11 g
- k = 0.125
Half-life: The <u>time</u> required for a quantity to reduce to <u>half of its initial value</u>.
To find the time it takes (in days) for the substance to reduce to half of its initial value, substitute the given values into the formula and set N to half of the initial mass, then solve for t:
Therefore, the substance's half-life is 5.5 days (nearest tenth).
Learn more about solving exponential equations here:
brainly.com/question/28016999
The coordinates of the midpoint of the line segment is the average of the coordinates of both end points. For this example above, let (x, y) be the coordinates of point Q.
(abscissa) -6 = (-1 + x) / 2 ; x = -11
(ordinate) -3 = (-4 + y) / 2 ; y = -2
Therefore, the coordinates of point Q is (-11, -2). The answer is letter A.
Answer:
+ 2y \le 3.\]Plot the region $\mathcal{R},$ and identify the vertices of polygon $\mathcal{R}.$ (b) Find the maximum value of $x + y$ among all points $(x,y)$ in $\mathcal
