Answer:
- 5 integers: {4, 6, 8, 12, 24}
Step-by-step explanation:
<u>From the given info we have:</u>
- 99 - 3 = 96 is divisible by the number, the number is greater than 3 since the remainder was 3.
- 70 + 2 = 72 is divisible by same number.
<u>Using the above info, find all factors of the two numbers, greater than 3:</u>
- 96 = 4*24 = 6*16 = 8*12 = 12*8 = 16*6 = 24*4 = 32*3 = 48*2
- 72 = 4*18 = 6*12 = 8*9 = 12*6 = 18*4 = 24*3 = 36*2
<u>The common divisors are:</u>
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>
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
To start you would count 140 miles and 90 miles and add that together because they are at least that far apart because they are in different directions with the measurement starting at the airport. So you have 230 miles. Then you would know that plan A is 3 miles up and plane B is only 2 miles up, so there's one more mile between them. So you can add that and say 231 miles.
Answer:
Parallel to two previous parallel lines which creates m < e that equals 41 and m < ff that equals 35
Step-by-step explanation:
Alternate interior angles
