Answer:
6π inches/min
Step-by-step explanation:
he tip of the second hand makes a complete circle in
60 sec, or 1min
The length of this circle is the circumference, C
C=2πr
Given: r=8 in
C= 2π×8 =16π
C= 16π
The linear velocity is 6π/1 = 6π inches/min
Okay, let's represent the price of a bed sheet with 'b' and a towel with 't':
54b + 50t = 923
38b + 61t = 791.50
Now, if we subtract both sides by 54b (on the first equation), we get this:
50t = 923 - 54b
Divide both sides by 50:
t = 18.46 - 1.08b
Now that we know this, we can move on to the 2nd equation:
38b + 61t = 791.50
Input the variable 't':
38b + 61(18.46 - 1.08b) = 791.5
38b + 1126.06 - 65.88b = 791.5
38b - 65.88b = 791.5 - 1126.06
Simplify:
-27.88b = -334.56
Because both sides are negative, we can turn it into a positive:
27.88b = 334.56
b = 334.56/27.88
b = 12
Now that we know that b = 12, we can easily input it into any equation:
648 + 50t = 923
50t = 275
t = 5.5
One bed sheet costs $12 and one towel costs $5.50
Option C is the answer.
Answer:
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.
Explanation:
1) Given equation:
3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2
2) So, the denominators are x + 2, x - 1, and x² - 3x + 2
3) The LCD is the product of the common and non common factors raised to the greatest power.
4) x + 2, and x - 1 are already prime factors
5) Factor x² - 3x + 2
x² - 3x + 2 = (x - 2)(x - 1)
6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)
7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.
F is 5 because -1 and 1 are not web that makes 8 odd so f is 5
Answer:
81.20
Step-by-step explanation:
I took the test and got it right
