What is 0.18 as a fraction
2 answers:
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Answer:
Step-by-step explanation:
<u>Errors in Algebraic Operations </u>
It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them
- When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
- When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
- Not to confuse product of fractions with the sum of fractions. Rules are quite different
The first expression is
Let's arrange into format:
We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is
Now for the second expression
Let's arrange into format
It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been
We do this by dividing 360°<span> by the number of sides, which is 8. (b) Calculate the size of each interior angle in the regular octagon. We do this by subtracting the size of each exterior angle, which is 45°, from </span>180°<span>. A regular polygon has equal exterior angles of 72°</span>
Answer:
0.540
Step-by-step explanation:
Hi there,
To get started in order to solve this, please recall the property of logarithms.
This question is a bit tricky, but doable. Best way to solve this is first compare the two functions:
Now, let's see what the function gives at 13 and 1:
Something to recognize is that 1 to the power of <em>anything</em> is just 1, so f(1) is reduced to:
We are making progress!
Next, we can set both f(13) forms equivalent to each other, watch this:
but we know what f(1) is equal to, and let's substitute our knowns:
the c constant on both left and right side cancel out:
Now, take the logarithm form of both side of the equation. I used natural log, but you can also use common logs:
⇒
this was performed using <em>the power log rule. </em>
Isolate k:
using a calculator.
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