If the population of the animals decreases by 10% every year. This means that the population for the next year is 90% of that in the previous. The multiplier for the rate of exponential decay is therefore 0.90. The answer is letter B.
Answer:
-1/3 or -2/6
Step-by-step explanation:
First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.
(hope this helps!)
The values of cosine Ф and cotangent Ф are
and -1
Step-by-step explanation:
When a terminal side of an angle intersect the unit circle at
point (x , y), then:
- The x-coordinate is equal to cosine the angle between the positive part of x-axis and the terminal side
- The y-coordinate is equal to sine the angle between the positive part of x-axis and the terminal side
- If x and y coordinates are positive, then the angle lies in the 1st quadrant
- If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
- If x and y coordinates are negative, then the angle lies in the 3rd quadrant
- If x-coordinate is positive and y-coordinate is negative, then the angle lies in the 4th quadrant
∵ The terminal ray of angle Ф intersects the unit circle at point 
- According to the 1st and 2nd notes above
∴ cosФ = x-coordinate of the point
∴ sinФ = y-coordinate of the point
∵ The x-coordinate of the point is negative
∵ They-coordinate of the point is positive
- According the the 4th note above
∴ Angle Ф lies in the 2nd quadrant
∵ x-coordinate = 
∴ cosФ = 
∵ y-coordinate = 
∴ sinФ = 
- cotФ is the reciprocal of tanФ
∵ tanФ = sinФ ÷ cosФ
∴ cotФ = cosФ ÷ sinФ
∴ cotФ =
÷ 
∴ cotФ = -1
The values of cosine Ф and cotangent Ф are
and -1
Learn more:
You can learn more about the trigonometry function in brainly.com/question/4924817
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Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.



x = 
x = 9
Similarly, 
y = 
y = 6
Answer:
z1 + z2 = 3
Step-by-step explanation:
Since we are given z1 = 2 + √(3)i and z2 = 1 – √(3)i. The sum of z1 + z2 would be:
(2 + √(3)i) + (1 – √(3)i) = 2 + √(3)i + 1 – √(3)i = 2 + 1 + √(3)i – √(3)i = 3
Hence, z1 + z2 = 3.