16.) 38.25= 4.25h
divide by 4.25 on both sides
h=9
17.)214= 1/3x
divide by 1/3 on both sides
x= 642
18.)70= 2x
divide by 2 on both sides
x=35
19.)18.69= 5.25+1.68x
subtract 5.25 on both sides
13.44=1.68x
divide by 1.68 on both sides
x=8
Answer:
False
Step-by-step explanation:
<u>According to the complex conjugate root theorem:</u>
if a complex number is a root of a polynomial, its conjugate is also the root of the polynomial
We are given all the roots of the polynomial and there is only one complex root
Since according to the complex conjugate root theorem, there can be either none or at least 2 complex roots of a polynomial
We can say that this set of roots of a polynomial is incorrect
d = days rented for
m = miles driven for
so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days
1st day, 3 miles......................35(1) + 0.45(3)
2nd day, 2 miles..................35(2) + 0.45(2)
3rd day, say 5 miles............35(3) + 0.45(5)
dth day, and m miles..........35d + 0.45m
so the cost function could be written as C = 35d+0.45m.
now, we know for 2 days, d = 2, it cost 166.75 bucks, so

Answer:
Option D.

Step-by-step explanation:
The area of the circular bases is:

Where
is the radius of the circle
Then


The area of the rectangle is:

Where

b is the width of the rectangle and
is the length
Then the area of the rectangle is:


Finally the total area is:


Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.
Therefore, she have total 7 courses.
So, we calculate the number of combinations to choose 4 out of 7 courses.
We get:

So the number of total combinations is 35.