Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what 
is.
To find it, you would take the reciprocal of the x amount. So becomes 
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So 
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase to 
, you would have to multiply a with two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease to 
, you would have to divide by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: 
means that you are dividing 1 by a 3 times.
Hope this helps.
Answer:
a) 
b) 
Step-by-step explanation:
Polar coordinates are represented as: 
, where 'r' is the length (or magnitude) of the line, and '
' is the angle measured from the positive x-axis.
in our case:
to covert the polar to cartesian:
we can plug in our values:
the Cartesian coordinates are:
(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'
the angle can be found by:
to convert radians to degrees:
writing in polar coordinates:
The answer is: 117m²
The explanation is shown below:
1. You have the following information given in the problem:
- The triangle has an area of 13 m².
- The dimensions of the triangle are increased by a scale factor of 3.
2. Therefore, to solve the exercise you must multiply the area by 
, as following:
We can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
From the graph, we see the line crosses the y-axis at y = 15. That means the y-intercept is 15, and we have so far y = mx + 15.
Now we need the slope. On the graph we see that for every 3 units up in y, there is 1 unit to the right in x. The slope is 3/1 = 3. m = 3. Now we add the slope to the equation.
y = 3x + 15
Answer: y = 3x + 15
<span>Firstly, you'll need to convert the grams into number of mols. Since no. of mol = mass/molecular weight3.55/39.1 = 0.09079 mol because 1 mol of potassium ...</span><span>
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