A petri dish is simply a circle; thus, we use the formula of the area of the circle which is <span>πr^2.
Given r = 40 mm
A = </span>π(40)^2 = <span>5026.55 sq. mm
</span>
Population density = bacteria count / area
PD = 2,100 / <span>5026.55
PD = </span><span>0.417782 bacteria / mm sq.
Therefore, the answer is approximately 0.418 </span><span>bacteria per square millimeter.</span>
Answer: 2 2/5
Step-by-step explanation:
You can do 6 * 2/5 = 2 2/5
OR
You can do 2 + 2 + 2/5
6/5 = 1 1/5 * 2 = 2 2/5
Let P = the combined perimeter for the rectangle and square.
P = rectangle + triangle
P = 2(2x) + 2(x - 3) + x + x - 2 + x + 4
P = 4x + 2x - 6 + 3x - 2 + 4
P = 9x - 8 + 4
P = 9x - 4
Answer: Option b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option b.
3ab * 2ac = 6a^2bc
3ab * 3bc = 9ab^2c
= 6a^2bc + 9ab^2c
So the answer is D