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> .
4rt33 or 4 times the square root of 33
4 = the square root of sixteen, so the square root of 16 times the square root of 33 = the square root of 628
Answer:
decrease of 64.3%
Step-by-step explanation:
Percentage change can be calculated from ...
pct change = ((new value)/(original value) -1) × 100%
= (50/140 -1) × 100%
= (-9/14)×100% = -64 2/7% ≈ -64.3%
The price of crude fell about 64.3% in that period.
Answer:
dont even stress i gotchu
It's 50*, 46* and 84*.
Ratio of the second problem is 1:1 they both have a slope of 1 (which is probably why all three points are on the same line)
Step-by-step explanation:
Since we know that the straight/flat angle would equal 180* we will set the total of all those angles to 180*
We will add them up to find x. Once we find x we can find the value of each angle.
6x-10 + 4x + 6 + 7x + 14 = 180
We will combine like terms and solve for x.
17x+10 = 180
17x = 170
x = 10.
Since we have x = 10, we will plug it into x of each angle to get the value of each angle.
6(10) -10 = 60-10 which equals 50*
4(10) + 6 = 40+6 which equals 46*
7(10) + 14 = 70 + 14 which equals 84*.
Answer:
Step-by-step explanation:
First you need to convert it to a linear expression.
3x - y = 4
+3x +3x
-1y = 3x + 4
--- ----- -----
-1 -1 -1
y = -3x -4
6x - 2y = 7
-6x -6x
-2y = -6x + 7
---- ----- -----
-2 -2 -2
y = 3x - 3.5
-3x - 4 = 3x - 3.5
+3x +3x
-4 = 6x - 3.5
+3.5 +3.5
-0.5 = 6x
----- -----
6 6
-0.5
------ = x
6
