Writing each complex number in exponential form makes this very easy. Recall Euler's formula:
Then
(since 45º = π/4 rad)
(since 165º = 11π/12 rad)
The product is
and in Cartesian form this is
Answer: 10 minivans .
Step-by-step explanation:
Given: There are 35 fourth graders and 40fifth graders in the Robotics Club.
Total people = 35+40 = 75
Since each minivan can only hold 8 people.
Number of minivan required = (Total people) ÷ 8
= 75 ÷ 8
= 9.375≈ 10
Hence, the school needs to rent approx. 10 minivans .
Answer:
Increase (A)
Step-by-step explanation:
If the common ratio is greater than 1, that means the y-value increases as the x-value increases.
If the common ratio is 1, that means the y-value stays the same as the x-value increases.
If the common ratio is between 0 and 1, that means the y-value decreases and approaches 0 ad the x-value increases.
Because the common ratio is greater than 1, the answer is A, increases
A number raised to an exponent is the number multiplied by itself the number of times the exponent is.
The exponent is 3, so this means 0.25 is multiplied by itself 3 times.
0.25^3 = 0.25 x 0.25 x 0.25
Answer:(5-7)²
Step-by-step explanation: as h(x)=x-7 and g(x)=x²
so, goh(x)=g(h(x))
=g(x-7)
=(x-7)²
hence, goh(5)=(5-7)²