Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.
Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:
20 ............2.5
-------- = ---------
...x ............. 2
where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
20×2 = 2.5 × x
Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
We would then have:
20×2
------- = x
2.5
Which then simplifies to:
x = 16
Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)
To solve<span> a logarithmic equation, rewrite the equation in exponential form and </span>solve<span>for the variable</span>
Considering the function for the remaining amount of cesium in the atmosphere, F(x) = 1000×0.5^(x/30), we have;
First part:
- The area will be safe again in about 100 years time.
Second part;
- The y-intercept is at the start of the measurement
Third part;
- The function is a decay function
<h3>Which method can be used to evaluate the given function?</h3>
First part;
The given function for the remaining amount of cesium is presented as follows;
When 100 kg. of cesium is remaining, we have;
Which gives;
- Therefore, the area will be safe again in approximately 100 years.
Second part;
The y-intercept is given by the point where <em>x </em>= 0
At the y-intercept, we therefore have;
At the y-intercept, the amount of cesium remaining, F(x) is 1,000, which is the initial amount of cesium.
- The y-intercept is therefore, at the start of the measurement, where 1000 kg. is present in the atmosphere.
Third part;
The amount of cesium remaining F (x) decreases as the time, <em>x</em>, increases, the function is therefore a decay function.
Learn more about exponential functions here;
brainly.com/question/2456547
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Answer:
- <u>The value of N is 8</u>
<u></u>
- <u>The value of the angles is 48º</u>
Explanation:
The two indicated angles are supplementary because they could be drawn as two interior angles on the same side of two parallel sides cut by a transversal.
Thus, those measure of those two angles add up 180º, which lets you to write an equation and solve for N:
And the value of the angles is:
- 8N - 16 = 8(8) - 16 = 48, or