Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
(C) "having a deep fondness for border collies and therefore overestimating them"
While acknowledging that "dogs may be noble, charming, loyal, and dependable," the author of Passage 1 speculates that they might not have "earned those extra intellect points." In contrast, the author's admiration for dogs may lead one to believe that the depiction of "pure intelligence shining in the face of a border collie" in lines 63–67 is exaggerated.
The answer is not (A). Passage 1's author would probably assume that Passage 2's author has a strong emotional bond with dogs. (B) is the wrong answer. The subjective assessment of canine intellect is shown in lines 63–67. They don't imply that the author of Passage 2 has in-depth understanding of the relevant studies.
The answer is not (D). Despite the fact that the author of Passage 2 appears to prefer personal experience over the findings of scientific investigations, lines 63–67 do not demonstrate any scorn for "traditional" research. The answer is not (E).
It would be harsh to assert that the author of Passage 2 has a limited understanding "of what constitutes intelligence" despite the fact that the two authors may hold different opinions on the degree to which dogs are able to reason.
Here's another question with an answer similar to this about dogs:
brainly.com/question/18951741
#SPJ4
Answer:
in 13.95 years the senior class will have 100 students.
Step-by-step explanation:
P(h) = p(0.92)^t (equation for exponential change)
P(h) - population of highschool (or senior class) = 100
p - staring amount = 320
t = time in years
100 = 320(0.92)^t
1/3.2 = .92^t (divide both sides by 320)
log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)
13.9497 = t
-9x(5 - 2x) Distribute/multiply 9x into (5 - 2x)
(-9x)5 - (-9x)2x
-45x - (-18x²) 2 negative signs cancel each other out and become +
-45x + 18x² Your answer is A ( the first option)
Answer:
Last choice. d.
Step-by-step explanation:
We are given the first term and the sixth term.
The first term is 
.
The sixth them is 
.
Let's solve for the common ratio, r.
Divide both sides by -9:
Take the fifth root of both sides:
So the common ratio is 4.
