Express as a single fraction in its simplest form as a single fraction in its simplest form
<span>3/(x+1) – 1/(x-2) </span>
<span>the answer is 2x-7/(x+1)(x-2) </span>
Earthquake measuring 4.5 is 10 times more powerful than earthquake measuring 3.5 on Richter scale.
Step-by-step explanation:
Earthquake refers to the violent shaking of the Earth crust in response to its extremely dynamic interior. Sometimes the rocks are loaded or stressed beyond its elastic limit, following which it rebounds thus emitting a wave(seismic), which is received by us as seismic waves.
The energy released during an earthquake is measured in Richter scales (named after Charles Richter). While 1 is the lower limit, there is no such upper limit. However, earthquakes above 7 are considered fragile for human existence. It is a logarithmic scale meaning successive numbers of the scale by a factor of 10.
Thus, an earthquake measuring 4.5 would be around 10 times more powerful than an earthquake measuring 3.5 following logarithmic scale.
The measure of the angle is half the measure of the opposite arc.
.. ? = 78°/2 = 39°
Using the table, we will see that the function is:
t(l) = 3*l
<h3>
How to write the function?</h3>
Here we only have a table to work with, so we need to use that.
In the table, we can see the pairs:
- t(1) = 3
- t(2) = 6
- t(3) = 9
- t(4) = 12
So, in each new level, we just add 3 more toothpicks. Even more, we can see that the number of toothpicks is 3 times the value of l (the level) for all the cases in the table. So this is a linear function.
From that we can conclude that the function will be:
t(l) = 3*l
If you want to learn more about linear functions, you can read:
brainly.com/question/4025726
Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609