Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
Answer:
B: 65°
Step-by-step explanation:
Step 1:
AB ║ ED Given
Step 2:
∠E = 65° Given
Step 3:
∠ABC = 65° Alt. Int. ∠'s ( Alternate Interior ∠'s)
Answer:
B: 65°
Hope This Helps :)
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount deposited.
P represents the principal or amount deposited.
R represents interest rate
T represents the duration in years.
From the information given,
P = 2500
R = 1.5%
T = 30 years
I = (2500 × 1.5 × 30)/100 = $1125
the account balance be after 30 years is
1125 + 2500 = $3625
Answer:
A,C
Step-by-step explanation:
sin 2x=sin (x+x)=sinx cos x+cos x sin x=2 sin x cos x
or =2 cos x sin x
[sinx cox=cos x sin x ]
Ratios that are equivalent to each other are considered equivalent ratios. For example, 2:6 is equal to 6:18
