Answer:
3
+9x-30
Step-by-step explanation:
Multiply the three into each number
3+9x-30
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193
The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°
So the vector is √193 @ 120.26°
Answer:
The population reaches 7 million people in the year 2032.
Step-by-step explanation:
We have that
Using this model, find the year when the population reaches 7 million people.
This is x years after 2000, in which x is found when f(x) = 7. So
We have to following logarithm rule
So we apply log to both sides of the equality
2000 + 32.66 = 2032
The population reaches 7 million people in the year 2032.
Answer:
2.60 hours
Step-by-step explanation:
A hose fills a hot tub at a rate of ,
2.09 gallons ⇒ 1 minute
Now we have to find the time which takes to fill a 327 gallon hot tub.
For that, let the unknown time be x.
So,
2.09 gallons ⇒ 1 minute
327 gallon ⇒ x
Use cross multiplication to find the value of x.
2.09 x = 327 × 1
2.09x = 327
x = 327 ÷ 2.09
x = 156.45 min
Therefore, it takes 156.45 minutes.
But the question is asked for hours.
So,
Let us solve now.
156.45 ÷ 60 = 2.60 hours
Let me know if you have any other questions :-)
<h2>Answer: </h2>
15% of $49.64
=> 15/100 × 49.64
=> $7.446.
<u>After rounding to the nearest ten</u>,
=> <u>$7.5</u>
