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NemiM [27]
3 years ago
7

Simplified form of (3-5i)^2​

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

-16 - 30i

Step-by-step explanation:

(3-5i)^2​ = (3-5i) * ​(3-5i)

Applying the "FOIL" method of expanding this expression through multiplication, we get:

9 - 15i - 15i - 25    (since i^2 = -1)

Simplifying this result, we get -16 - 30i

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Answer:

24

Step-by-step explanation:

1128 - 72 = 1056

1056 ÷ 43 is 24 with a remainder of 24. Ignore the remainder and you get an answer of 24

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Answer:

2

Step-by-step explanation:

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kotykmax [81]

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7 0
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The population of big cats in Africa is increasing at a rate of 5% per year. At the
sesenic [268]

Answer:

a) 10,500 big cats

b) 13,401 big cats

c) 33 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form; 5/100= 0.05)

t= years  

A = population after t years  

Replacing with the values given:  

a) At 2005, 1 year passed since 2004 (t=1)

A = 10,000 (1+ 0.05)^1

A = 10,500 big cats

b)

At 2010, 6 years passed since 2004 (2010-2004= 6)

A = 10,000 (1+ 0.05)^6

A = 13,401 big cats

c)

50,000 < 10,000 (1+ 0.05)^t

Solving for t:

50,000/10,000 < 1.05^t

5 < 1.05^t

log 5 < log 1.05^t

log 5 < t ( log 1.05)

log 5 / log 1.05 < t

32.9 years < t

33 years  = t

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
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