Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
Answer:
1109
Step-by-step explanation:
an = d (n - 1) + c
an = what you're looking for
n = term position
d = the common difference, in your case, 16
c = first term of the sequence, or -27
a₇₂ = 16(72 - 1) + -27 = 1109
Answer:
Y = 2/3x-8/3
Step-by-step explanation:
y − 4 = 2/3 ( x − 3)
y − 4 = 2/3x -2
y = 2/3x +2
~~~~~~~~~~~~~~~~~
-2 = 2/3(1) + b
b = -2 2/3 = -8/3
Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume (
) is calculated by:
Where 
is the radius of the tumor.
The percentage decrease in the volume of the tumor (
) is expressed by:
Where:
- Absolute decrease in the volume of the tumor.
- Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
The percentage decrease is finally simplified:
![\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7BR_%7Bf%7D%7D%7BR_%7Bo%7D%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
Given that 
and 
, the percentage decrease in the volume of tumor is:
![\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7B0.77%5Ccdot%20R%7D%7BR%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
The volume of the tumor experimented a decrease of 54.34 percent.
