Domik weights 30 pounds more than his sister
Together they weigh 330 pounds
Let "x" represent the weight of Dominik's sister, then his weight can be expressed as "x+30"
And their total weight can be calculated as:

From this expression you can calculate the value of x:

x=150 pounds
x+30=150+30=180 pounds
Dominik weights 180pounds and his sister 150 pounds
Answer: z = 6i / (4+3i)
Step-by-step explanation: Rectangular form:
z = 0.72+0.96i
Angle notation (phasor):
z = 1.2 ∠ 53°7'48″
Polar form:
z = 1.2 × (cos 53°7'48″ + i sin 53°7'48″)
Exponential form:
z = 1.2 × ei 0.2951672
Polar coordinates:
r = |z| = 1.2 magnitude (modulus, absolute value)
θ = arg z = 53.1301° = 53°7'48″ = 0.2951672π angle (argument or phase)
Cartesian coordinates:
Cartesian form of imaginary number: z = 0.72+0.96i
Real part: x = Re z = 0.72
Imaginary part: y = Im z = 0.96
Hope this helps!
I am joyous to assist you anytime.
~Jarvis
The rational function represented in the given graph is; f(x) = 1/(x - 4)
<h3>How to Interpret Graph of Asymptotes Functions?</h3>
From the given graph , the vertical asymptote is at x = 4
Let's find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator = 0
A) x + 4 = 0
x = -4
This is not correct
B) 4x = 0
x = 0
Not correct
C) Denominator does not have a variable and so is also incorrect
D) x - 4 = 0
x = 4
Thus, this is correct
Read more about Asymptotes Function at; brainly.com/question/16995471
#SPJ1
<span>7N - 2N + 3P + 2P
Combine like terms:
7N-2N=5N
3P+2P=5P
Put them together to get :
5N+5P
Final answer:
A</span>
The place value of the second 9 in 399 is thousands. 399,713 rounded to the nearest thousand is 400,000