Answer:
The answer is 66.5
Step-by-step explanation:
To get the mean, you add all the numbers together, then you divide by the # of numbers their are. So you add 34,56,78,98, and then you divide by 4.
In this question, you are asked to make a pattern start with 125 with 6 less number each pattern. Then the pattern equation would be: 125-6x where x is determined by the position of the number.
The question doesn't specify how many numbers in the pattern that needs to be written but the pattern should be like this: 125, 119, 113, 107, 101, 95, 89, 83, 77
Answer:
b
Step-by-step explanation:
Answer:
![\frac{dN}{dt}=k(725-N)\\separating the variables and integrating\\\int \frac{dN}{725-N}=\int kdt+c\\-log (725-N)=kt+c\\log (725-N)=-kt-c\\(725-N)=e^{-kt-c} =e^{-kt} *e^{-c} =Ce^{-kt} \\when t=0,N=400\\725-400=Ce^{0} =C\\C=325\\when t=3,N=650\\725-650=325e^{-3k} \\\frac{75}{325}=(e^{-k})^3\\\\e^{-k} =(\frac{3}{13}) ^{\frac{1}{3} } \\when t=5\\725-N=325(\frac{3}{13}) ^{\frac{5}{3} } =325*\frac{3}{13}*(\frac{3}{13} )^{\frac{2}{3}}\\N=725-75*(\frac{3}{13} )^{\frac{2}{3} }=725-28=697](https://tex.z-dn.net/?f=%5Cfrac%7BdN%7D%7Bdt%7D%3Dk%28725-N%29%5C%5Cseparating%20the%20variables%20and%20integrating%5C%5C%5Cint%20%5Cfrac%7BdN%7D%7B725-N%7D%3D%5Cint%20kdt%2Bc%5C%5C-log%20%28725-N%29%3Dkt%2Bc%5C%5Clog%20%28725-N%29%3D-kt-c%5C%5C%28725-N%29%3De%5E%7B-kt-c%7D%20%3De%5E%7B-kt%7D%20%2Ae%5E%7B-c%7D%20%3DCe%5E%7B-kt%7D%20%5C%5Cwhen%20t%3D0%2CN%3D400%5C%5C725-400%3DCe%5E%7B0%7D%20%3DC%5C%5CC%3D325%5C%5Cwhen%20t%3D3%2CN%3D650%5C%5C725-650%3D325e%5E%7B-3k%7D%20%5C%5C%5Cfrac%7B75%7D%7B325%7D%3D%28e%5E%7B-k%7D%29%5E3%5C%5C%5C%5Ce%5E%7B-k%7D%20%3D%28%5Cfrac%7B3%7D%7B13%7D%29%20%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%5C%5Cwhen%20t%3D5%5C%5C725-N%3D325%28%5Cfrac%7B3%7D%7B13%7D%29%20%5E%7B%5Cfrac%7B5%7D%7B3%7D%20%7D%20%3D325%2A%5Cfrac%7B3%7D%7B13%7D%2A%28%5Cfrac%7B3%7D%7B13%7D%20%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5C%5CN%3D725-75%2A%28%5Cfrac%7B3%7D%7B13%7D%20%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%3D725-28%3D697)
Step-by-step explanation:
Answer:
b 5 a 6 b 7
Step-by-step explanation: