Answer:
x = ln (7/5) - 2
Step-by-step explanation:
4+5e^(x+2)=11
Subtract 4 from each side
4-4+5e^(x+2)=11-4
5e^(x+2)=7
Divide by 5 on each side
5/5e^(x+2)=7/5
e^(x+2)=7/5
Take the natural log on each side
ln (e^(x+2))= ln (7/5)
x+2 = ln (7/5)
Subtract 2 from each side
x = ln (7/5) - 2
Standard form is a+bi where a and b are real numbers
remeber that i²=-1
ok
![\frac{5}{3-15i}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3-15i%7D)
we got to get the i out of the denomenator
remember the differnce of 2 perfect squares where (a-b)(a+b)=a²-b²
so multiply the whole thing by
![\frac{3+15i}{3+15i}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2B15i%7D%7B3%2B15i%7D)
we get
![\frac{5(3+15i)}{3^2-(15i)^2}=\frac{15+75i}{9-225(-1)}=\frac{15+75i}{9+225}=](https://tex.z-dn.net/?f=%5Cfrac%7B5%283%2B15i%29%7D%7B3%5E2-%2815i%29%5E2%7D%3D%5Cfrac%7B15%2B75i%7D%7B9-225%28-1%29%7D%3D%5Cfrac%7B15%2B75i%7D%7B9%2B225%7D%3D)
![\frac{15+75i}{234}=\frac{15}{234}+\frac{75i}{234}=\frac{15}{234}+\frac{75}{234}i=\frac{5}{78}+\frac{25}{78}i](https://tex.z-dn.net/?f=%5Cfrac%7B15%2B75i%7D%7B234%7D%3D%5Cfrac%7B15%7D%7B234%7D%2B%5Cfrac%7B75i%7D%7B234%7D%3D%5Cfrac%7B15%7D%7B234%7D%2B%5Cfrac%7B75%7D%7B234%7Di%3D%5Cfrac%7B5%7D%7B78%7D%2B%5Cfrac%7B25%7D%7B78%7Di)
in standard form, it is
Yes because it’s closer to zero
Squared feet is basically area. A=lxw. A=18 1/5 X 8 2/5. Make both fractions improper: 91/5 X 42/5 = 3822/25. Since he painted half the wall multiply by 1/2: 76 22/50. Simplify: 76 11/25 square feet will be painted :) I hope this helps!
We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.