Answer:
Step-by-step explanation:
We have to simplify the trigonometric expression 
Let us multiply the numerator and denominator by 
In the denominator apply the formula for difference of squares
Thus, the denominator will become
Thus, the expression is
Using the relation 
We can rewrite this expression as
Finally, the simplified expression is
Answer:
D
Step-by-step explanation:
Add real numbers and add imaginary numbers
(-7 + 3i)+(2 - 6i) = -7 + 2 + 3i - 6i
= - 5 - 3i
Well, you would have to multiply 8 by whatever factorial of 3, in this case 4 for the number of weeks
The equation is 8 x 3^4 which equals 648
My only thing is that they only triple in SIZE, and not multiply (as in make more of themselves) so technically speaking, there would still be 8 bacteria, just much bigger
Answer:
y=-3x-12
Step-by-step explanation:
Plug into equation y=mx+b
3=(-3)-5+b
Simplify
3=15+b
Subtract 15 from both sides
-12=b
Add slope and y-intercept into base equation
y=-3x-12
Answer:
3.2 km * 1 / 1.609 mi / km * 5280 ft / mi = 10,501 ft
Check: 3280.84 ft / km * 3.2 km = 10,499 ft
