Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1
next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive
Step-by-step explanation:
Rate of growth equals 420/100 = 4.2 times per hour
So after t=three hours,
size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,
round to nearest unit 7409 bacteria after three hours (after initial size of 100).
Answer:
I think k = 2 and m = 19
and I also think in order to mention the steps there must be another clue or equation
9 squared is 81
81=9^2
Or, (3^2)^2. Double square!
Answer:
The required expression is: 
Option C is correct option.
Step-by-step explanation:
We need to find the equation that fits the description.
a) the expression is the quotient of two quantities
The quotient is expressed as 
where a is numerator and b is denominator
b) The numerator of the expression is product of 5 and the sum of x and y
Sum of x and y = x+y
Product of 5 and Sum of x and y = 5(x+y)
So, Numerator of the expression is 5(x+y)
c) The denominator is the product of negative 8 and x
Product of negative 8 and x = -8x
So, denominator of the expression is -8x
Now, The required expression is: 
Option C is correct option.