Answer: The log simplifies to
-2-------------------------------------------
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Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is
where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.
Because 36 = 6^2, this means that 1/36 = 6^(-2)
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So,
Use log rule 1 (see above)
Use log rule 2 (see above)
This means that the given expression simplifies to
-2You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get
-2 as the answer
<MSR = 180-136 (virtue of complementary angles) = 44°
Answer:
96
Step-by-step explanation:
144 x 2 = 288
288/3 = 96
Answer: 82.5 - x = R sorry if I am wrong
Step-by-step explanation:
1. We know all the angles in a triangle add up to 180 degrees.
<em>180 = x + x + 15 + R</em>
2. Combine like terms
<em>180 = 2x + 15 + R</em>
3. Subtract 15 from both sides
<em>165 = 2x + R</em>
4. Divide both sides by 2
<em>82.5 = x + R</em>
5. Subtract x from both sides
<em>82.5 - x = R</em>
There is not enough information to calculate this.
<span>Knowing the weight ratio of the fox to coyote as 3:8 in no way allows you to know the respective ratio of the wolf. To know the weight of the wolf would require knowing its ratio value, then the weights of all 3 is an easy calculation. </span>
<span>Example - 3:8:15 (f:c:w) is a plausible ratio based upon real-world weight averages for certain species/subspecies of the three. </span>
<span>- knowing the values of the 3 terms as 3:8:15 gives a total of 3+8+15 = 26 ratio values </span>
<span>- you then simply divide the total weight by this ratio value total; 120/26 = 4.62 </span>
<span>- so each ratio value is 4.62 units of weight*** </span>
<span>- now, simply calculate the weight of each canid by multiplying its ratio value by the unit of weight... </span>
<span>fox; 3 x 4.62 = 13.86 </span>
<span>coyote; 8 x 4.62 = 36.96 </span>
<span>wolf; 15 x 4.62 = 69.3 </span>
<span>Validate the ratios by adding the weights together (we should get 120) 13.86 + 36.96 + 69.3 = 120.12 </span>
<span>The total is slightly out because that 4.62 figure was a rounding up. </span>
<span>Now, the thing is, there is nothing given that allows us to know exactly what ratio value the wolf should be, I chose 15 myself because that is a real-world plausible value when compared to 3:8 for the other 2. Changing it to 16, say, means that there are now 27 ratio values total giving a ratio value of 120/27 = 4.44 obviously changing the weights of all 3.</span>
