The product must be greater than 6,
because. 1-3/4 is greater than ' 1 '.
The product is "take 6 more than 1 time".
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Yes, there is enough space . If the guinea pigs need 12 feet, and 5*3= 15 feet then they have enough.
( idk if means 12 feet of living space for each or all 3 , but here i hope it helps :) )
5in : 200mi
7in : xmi
One inch represents 40 miles.
7 * 40 miles = 280 miles.
The two cities are 280 miles apart.
Answer:
The transaction will be recorded by the company as :
DR : Non-collectibles $5670
CR : Accounts receivable $5670
Step-by-step explanation:
Amount of money estimated = $5670
The amount which is non-collectible is recorded as a DEBIT transaction by the company because the amount in the non-collectible account can't be received by the company.
But, the amount in the receivables is the amount which is available for receiving and can be received by the company. So, receivable transaction is marked as CREDIT by the company.
Thus, the transaction will be recorded by the company as :
DR : Non-collectibles $5670
CR : Accounts receivable $5670