Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
$0.15x>$5.00
x>33.3333
So if she sends or receives more than 33 text messages, she will be paying more than $5.00.
Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
It is told that, 330 students that are surveyed, are 9th graders.
Hence, 0.55 represents 330 students, that is 1 represents 
= 600 students.
The number of 9th grade students whose favorite elective is music is represented by 0.18.
1 ≡ 600
0.18 ≡
= 108.
The percentage of students whose favorite elective is home economics and are also in 10th grade is 
= 6%.
Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.
Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:
(<span>3 – 5i)(–2 + 4i) = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i
Among the choices, the correct answer is B.
Answer:
a) will definitely be an odd number
Step-by-step explanation:
4^n is always even (when you multiply even and even number, the product is always even)
when you add one to even number, the sum is always odd
so 4^n +1 is odd.
