Answer:
x = 2
Step-by-step explanation:
6 ÷ 2 = 3
8 ÷ 2 = 4
4 ÷ 2 = 2
Answer:
762 days
Step-by-step explanation:
Given

Let the rate be R.
So the rate change with time is represented as:

So:

To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3
i.e.
becomes


Integrate
![R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0]](https://tex.z-dn.net/?f=R%20%3D%20200t%20%2B%20%5Cfrac%7B10t%5E2%7D%7B2%7D%20%2B%20%5Cfrac%7B13t%5E3%7D%7B3%7D%20%5B3%2C0%5D)
Solve for R by substituting 0 and 3 for t





<em>The population of insect between the required interval is 762</em>
Answer:
3. the numbers between -5 and 5
Step-by-step explanation:
Let set A=
and set
.
The solution set of A and B is the solution set of A∩B
The solution set of A is all the real number x which is greater than -5.
The solution set of B is all the real number x which is less than 5.
Therefore, the solution set of A∩B is all the real numbers between -5 and 5.
Hence, option (3) is correct.
Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.
The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.
Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.
Tan(angle) = opposite / adjacent
If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>
This means that <em>your answer = 19 * tan(42) = 17.11</em> meters