Your answer is A
distribute the 8 to the 4x and 2 which gives you
=32x + 16 + 4 >_ 5
now you need to add the 16 and the 4
which leaves you with
=32x + 20 >_ 5
then subtract the 20 from both sides
then you have
=32x >_ -15
then divide 32 from both sides with gives you
x>_ -15/32 or x>_ -0.5
Check the tower to see if it has more than multipin monitor connector.
Answer:
12 feet
Step-by-step explanation:
- know that 4 sections =1 tent pole
- 1 yard = 3 feet
- multiply the number of sections (4) by their length (3)
- 12 feet equal 1 tent pole
- (ノ◕ヮ◕)ノ*:・゚✧
Answer:
Differential equation
![\frac{dy}{dt} =ky(1-y)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%20%3Dky%281-y%29)
Solution
![y=\frac{1}{1+4e^{-0.327t}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B1%2B4e%5E%7B-0.327t%7D%7D)
Value of constant k=0.327 days^(-1)
The rumor reaches 80% at 8.48 days.
Step-by-step explanation:
We know
y(t): proportion of people that heard the rumor
y'(t)=ky(1-y), rate of spread of the rumor
Differential equation
![\frac{dy}{dt} =ky(1-y)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%20%3Dky%281-y%29)
Solving the differential equation
![\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7By%281-y%29%7D%3Dk%5Ccdot%20dt%20%5C%5C%5C%5C%5Cint%20%5Cfrac%7Bdx%7D%7By%281-y%29%7D%20%3Dk%20%5Cint%20dt%20%5C%5C%5C%5C-ln%281-%5Cfrac%7B1%7D%7By%7D%20%29%2BC_0%3Dkt%5C%5C%5C%5C1-%5Cfrac%7B1%7D%7By%7D%20%3DCe%5E%7B-kt%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7By%7D%20%3D1-Ce%5E%7B-kt%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B1-Ce%5E%7B-kt%7D%7D)
Initial conditions:
![y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}](https://tex.z-dn.net/?f=y%280%29%3D0.2%5C%5Cy%283%29%3D0.4%5C%5C%5C%5Cy%280%29%3D0.2%3D%5Cfrac%7B1%7D%7B1-Ce%5E0%7D%5C%5C%5C%5C1-C%3D1%2F0.2%5C%5C%5C%5CC%3D1-1%2F0.2%3D%20-4%5C%5C%5C%5C%5C%5Cy%283%29%3D0.4%3D%5Cfrac%7B1%7D%7B1%2B4e%5E%7B-3k%7D%7D%20%5C%5C%5C%5C1%2B4e%5E%7B-3k%7D%3D1%2F0.4%5C%5C%5C%5Ce%5E%7B-3k%7D%3D%282.5-1%29%2F4%3D0.375%5C%5C%5C%5Ck%3Dln%280.375%29%2F%28-3%29%3D0.327%5C%5C%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B1%2B4e%5E%7B-0.327t%7D%7D)
Value of constant k=0.327 days^(-1)
At what time the rumor reaches 80%?
![y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48](https://tex.z-dn.net/?f=y%28t%29%3D0.8%3D%5Cfrac%7B1%7D%7B1%2B4e%5E%7B-0.327t%7D%7D%20%5C%5C%5C%5C1%2B4e%5E%7B-0.327t%7D%3D1%2F0.8%3D1.25%5C%5C%5C%5Ce%5E%7B-0.327t%7D%3D%281.25-1%29%2F4%3D0.0625%5C%5C%5C%5Ct%3Dln%280.0625%29%2F%28-0.327%29%3D8.48)
The rumor reaches 80% at 8.48 days.
Answer:
I dont understand your question rither
Step-by-step explanation:
sorry I would help is I neew