Answer:
5x^7 + 4x^4 - 2x^2 + 5x - 19
Step-by-step explanation:
Start by copying 5x -10 +3x^4 - 2x^2 here. Next, add x^4 to +3x^4, -9 to -10, and 5x^7:
5x - 10 +3x^4 - 2x^2
- 9 +x^4 + 5x^7
-----------------------------------------
5x - 19 + 4x^4 - 2x^2 + 5x^7
Now rearrange these terms in descending order by powers of x:
5x^7 + 4x^4 - 2x^2 + 5x - 19 (answer)
Answer:
c. 108.4
Step-by-step explanation:
cos theta = (u dot v)/ (||u|| ||v||)
where dot stands for dot product and || || is the magnitude
u = (1,5) v= (7,-4)
u dot v = (1*7 + 5*-4) = 7-20 = -13
||u|| = sqrt( 1^2 +5^2) = sqrt(1+25) = sqrt(26)
||v|| = sqrt(7^2 + (-4)^2) = sqrt(49+16) = sqrt(65)
cos theta = -13/ sqrt(26) sqrt(65)
cos theta = -13 /sqrt(1690)
theta = arccos (-13/sqrt(1690))
theta = 108.43
Answer:
A
Step-by-step explanation:
Answer:
67 1/2 is a mixed number
Step-by-step explanation:
The volume of a prism, is the area of the cross section X the length:
In this case it is base × height × length:
6 × 4.5 × 2.5 = 67.5cm^3
= 67 1 / 2 as a mixed number
Answer:
Step-by-step explanation:
Ill try to break this down, simply:
When we talk about percentages we are talking about how much part of something we have and the percent sign is a just a symbol representing that.
Lets say we have 2 out of 10 apples and we need to convert this to a percentage
First think about how many apples we have in total... and that would be 10, and then how many apples we currently have being 2:
So if we put the part that we have over the whole thing we get:

So now lets turn this into a decimal, when its something over 10 its really easy, all we have to do is move the decimal back one place!
So we have 2 and if we move the decimal back one place we get .2 or 0.2
Now we have our decimal, to convert this into a percentage all we have to do is multiply our decimal by 100
So:
0.2 x 100 = 20%
All you do when you multiply by 100 is move the decimal back over 2 places one place for each zero so:
0.2 --> 2. --> 20.
Which gives us again 20%