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.
Ok so you divide them and then make sure that 1 is the denominator and the numerator can be anything else
This is a proportion problem that involves cross-multiplication
Set your problem up like so:
=
Now cross multiply
2,000 x 3 = 6,000
now you're left with 5x = 6,000
Now divide by 5 on both sides
Answer is 1,200
Answer:
87,000 ; 10.6%
Step-by-step explanation:
Given the function :
P(t)=87,000e^0.106t
P(t) is an exponential function ; comparing the given function to the general form of an exponential function :
y = Ae^rt
Where,
A = initial amount ; r = growth rate ; t = time
The Given function models t years after 2010, that is the 2010 population is the initial population of the city.
Comparing the general exponential equation with the function given:
A = 87,000 = population of city in 2010
The growth rate :
rt from the general equation compares to 0.106t in the given function.
rt = 0.106t
r = 0.106
Hence, the rate of change = 0.106 * 100% = 10.6%
Answer:
is no
Step-by-step explanation:
