Answer:
Step-by-step explanation:
let x be the number
6+1/5x=12
1/5x=12-6
1/5x=6
x=5*6
x=30
check: 6+(1/5*30)=6+6=12
Answer:
B. 8x^2-6x-7
Step-by-step explanation:
All you have to do is combine the like terms.
Like terms are the terms that have the same variable and same exponent.
The like terms in this equation are 6x^2 and 2x^2, 11x and -17x, and -3 and -4.
When you add 6x^2 and 2x^2, you get 8x^2
When you add 11x and -17x, you get -6x
When you add -3 and -4, you get -7.
Putting these all in order, your answer is
8x^2 - 6x - 7
Answer:
<QRP = 48.2°
Step-by-step explanation:
Given:
PR = 18 cm
QR = 12 cm
Required:
<QRP = angle R
Solution:
Reference angle = <R (<QRP)
Adjacent side length = 12 cm
Hypotenuse = 18 cm
Thus:
Cos (R) = 12/18
cos (R) = 0.6667
<QRP = 48.2° (nearest tenth)
Answer: 233 min
Step-by-step explanation:
This problem can be solved by the following equation:
(1)
Where:
is the quantity left after time 
is the initial quantity
is the time elapsed
is the constant of decay for the material
So, firstly we need to find the value of from (1) in order to move to the next part of the problem:
(2)
Applying natural logarithm on both sides of the equation:
(3)
(4)
(5)
(6)
(7) Now that we have the value of we can solve the other part of this problem: Find the time for 
.
In this case we need to isolate from (1):
(8)
(9)
Finally:
Answer:
S / (2 * pi * h) = r
Step-by-step explanation:
S = 2*pi * r * h
solve for r
Divide each side by 2* pi * h to isolate r
S / (2 * pi * h) = 2*pi * r * h/( 2 * pi * h)
S / (2 * pi * h) = r
