Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
_____
Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
Answer:
The single decimal multiplier is 1.26.
Step-by-step explanation:
Multipliers:
For a decrease of a%, we multiply by: 
For a increase of a%, we multiply by: 
For consecutive changes, we multiply the multipliers.
Increase of 5%
Multiply by 
Increase of 20%
Multiply by 
Consecutive:
1.05*1.2 = 1.26
The single decimal multiplier is 1.26.
I believe the 2 is the largest
The answer would be d.
You can solve this by changing it up a little, such as changing it to f • x = 12
you can then divide by 8, because x = 8.
You're then left with f = 12/8 or 3/2
multiply by x again on both sides, and voila, f(x)=3/2x
Answer:
The time required to finish the work by both candy and Tim working together = 36.83 minute
Step-by-step explanation:
Time taken by the candy to finish the work
= 85 min
Time taken by the Tim to finish the work
= 65 min
Thus the time taken by both to finish the work = 
Put the values of
and
we get ,
= 
= 
= 36.83 minute
Thus the time required to finish the work by both candy and Tim working together = 36.83 minute