Answer:
a) The unit rate of change of d with respect to t is equal to 1.6
b) the graph of the line in the attached figure.
Answer:
There are 150 blue marbles in Alex's bag.
Step-by-step explanation:
Let
,
,
be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:
Initial ratio
(1)
(2)
Final ratio
(3)
After some algebraic handling we get the following system of linear equations:
(1)
(2)


(3)
The solution of the system of linear equations is:
,
, 
There are 150 blue marbles in Alex's bag.
Answer:
[-8]
Step-by-step explanation:
Answer:
tan and cot are trigonometric functions
Answer:
- modulus: 3√2
- argument: -3π/4 (or 5π/4)
Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
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<h3>rectangular form</h3>
The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:

<h3>polar form</h3>
The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
__
modulus∠argument = (3√2)∠(-3π/4)