Answer:
talking tom?
Step-by-step explanation:
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
Answer:
![\large \boxed{\text{0.0462 min}^{-1}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7B0.0462%20min%7D%5E%7B-1%7D%7D)
Step-by-step explanation:
One formula for the reproduction of bacteria is
![\dfrac{N}{N_{0}} = e^{kt}](https://tex.z-dn.net/?f=%5Cdfrac%7BN%7D%7BN_%7B0%7D%7D%20%3D%20e%5E%7Bkt%7D)
Data:
N = 2
N₀ = 1
t = 15 min
Calculation:
![\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Cdfrac%7BN%7D%7BN_%7B0%7D%7D%26%20%3D%26%20e%5E%7Bkt%7D%5C%5C%5C%5C%5Cdfrac%7B2%7D%7B1%7D%26%20%3D%20%26%20e%5E%7Bk%5Ctimes15%20%5Ctext%7B%20min%7D%7D%5C%5C%5C%5C2%20%26%20%3D%20%26%20e%5E%7B15k%20%5Ctext%7B%20min%7D%7D%5C%5C%5Cln%202%20%26%20%3D%20%26%2015k%20%5Ctext%7B%20min%7D%5C%5Ck%20%26%20%3D%20%26%20%5Cdfrac%7B%5Cln2%20%7D%7B%5Ctext%7B15%20min%7D%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Ctextbf%7B0.0462%20min%7D%5E%7B%5Cmathbf%7B-1%7D%7D%5C%5C%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20value%20of%20the%20constant%20k%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B0.0462%20min%20%7D%5E%7B%5Cmathbf%7B-1%7D%7D%7D%24%7D)
Answer:
158,400
Step-by-step explanation:
I did the math hope this helps