The rule is simple when dividing Polynomials. When It comes to exponential you just deduct/ subtract it. When it comes to numbers you divide it.
This is the illustration
<u>-12x^8y^8</u><u>
</u>3x^4y^2 divide -12 by 3 and subtract their exponents, 8 - 4. So it will be
-4x^4
The same rule applies to the next which is y. Since it has no number attached to it. It is considered as 1. So you will only deduct their exponential form which is 8 - 2.
so the final answer would be -4x^4y^6
Answer:
$64,208.33
Step-by-step explanation:
100% - 33% = 67%
Since she pays 33% in taxes, she will only get 67% of the $23 million.
1 year = 12 months
20 years = 20 × 12 months = 240 months
There are 240 months in 20 years.
monthly amount = 67% of $23 million / 240
monthly amount = 0.67 × $23,000,000 / 240
monthly amount = $64,208.33
Answer:
Volume = 80 cm³
Ratio = 24:5
Volume of each skittle = 0.411 cm³/skittle
Step-by-step explanation:
Given:
Sides of the boxes = 4 cm , 4 cm and 5 cm
Total Skittles hold = 192 skittles
To Find:
Volume = ?
Ratio of skittles to volume = ?
Volume of each skittle = ?
Solution:
Volume of a box is given by the formula
Volume = Length * width * Height
Putting in the values
Volume = 4 * 4 * 5
= 80 cm³
Now to find Ratio of skittles to Volume of box which is
Skittles : Volume = 192 : 80
As 192 and 80 both are divisible by 8 so dividing them by 8
=
= 24:5
Which is the required ratio
Now we have to find volume of each skittle so it could be found out by dividing total volume with total skittles
So
Volume of each skittle
Putting in the values gives
it becomes
= 0.411 cm³/skittle
Answer: Option D. will be the answer.
Explanation: The bowling scores for six persons have been given as 27, 142, 145, 146, 154, 162.
The most appropriate measure of the center of these scores will be the median.
Here median will be mean of 146 and 146 because number of persons are 6 which is an even number.
So there are two center scores those are 145 and 146 and median =
Option D. will be the answer.
ANSWER
EXPLANATION
We want to find the exact value of cos(150°).
150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.
The cosine ratio is negative in the second quadrant.
Using the unit circle,