Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.

3+5i

Step-by-step explanation:

-2i+(9-3i)-(6-10i)

expand parenthesis

-2i+9-3i-6+10i

imagine that the i takes place of an x, so you can just add like terms

3+5i

Hope that helps :)

Step-by-step explanation:

b/c you can treat the real and imaginary parts separate, you can just add up real and imaginary like terms of expressions

9-6=3

-2i-3i+10i =5i

3+5i  :)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12