Once you remember the definition of a log, the answer to this question will literally fall out of your pencil.
First, ' Ln ' means 'natural log' ... logs to the base of ' e '.
Definition of the natural log of a number:
In order to get the number, what power do I have to raise ' e ' to ?
OK. What power do you have to raise ' e ' to in order to get 1/e² ?
Isn't 1/e² the same thing as e⁻² ?
So, in order to get 1/e² , you have to raise ' e ' to the -2 power .
In math-speak: Ln(1/e²) = <em><u>-2</u></em> .
Answer:
1
Step-by-step explanation:
1. Convert the mixed number to an improper fraction to match the rest of the problem (this just makes it easier for now, the answer will still be a mixed number)
-1
becomes 
2. Re-write the new equation. When there is a "+" in front of a set of parentheses the expression doesn't change aside from removing the plus signs.
The new equation becomes
3. Calculate. Just work out the new expression.
The answer is 
4. Convert to a simplified mixed decimal.
27 goes into 20 once with seven left over, making the answer 1
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
Answer:
18.5 or 18 1/2
Step-by-step explanation:
9 plus 9 is 18. 1/8 plus 3/8 is 4/8 or 1/2. so 18 1/2
