Answer:
k= 6/5 or 1.12
Step-by-step explanation:
You isolate the variable by dividing each side by factors that don't contain the variable. This variable (K) is not a whole number so I gave you the fraction and rounded decimal form. Hope this helps :)
Answer:
Option D [
] in the list of possible answers
Step-by-step explanation:
For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.
I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.
Notice that the exponential of best fit with my calculator comes in the form:

with optimized parameters:

Notice as well that since:

the exponential best fit can also be written:

and this expression is very close to the last option shown in your list of possible answers
Answer: 33/35
Step-by-step explanation:
To add these numbers they need to have the same denominators. The LCM of 5 and 7 is 35. So rewrite the fraction and let them both have a denominator of 35.
28/35 + 5/35 = 33/35
same as before, we look at the denominators, hmmm do a quick prime factoring.
3 = 3 * 1
9 = 3 * 3 * 1
since 9 already contains 3 and 1, we can us that
![\cfrac{\underline{2}}{3}~~ - ~~\cfrac{1}{9}\implies \cfrac{(2)\underline{2}~~ - ~~(1)1}{\underset{\textit{using this LCD}}{9}}\implies \cfrac{4-1}{9}\implies \cfrac{\stackrel{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{1}{3}](https://tex.z-dn.net/?f=%5Ccfrac%7B%5Cunderline%7B2%7D%7D%7B3%7D~~%20-%20~~%5Ccfrac%7B1%7D%7B9%7D%5Cimplies%20%5Ccfrac%7B%282%29%5Cunderline%7B2%7D~~%20-%20~~%281%291%7D%7B%5Cunderset%7B%5Ctextit%7Busing%20this%20LCD%7D%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B4-1%7D%7B9%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7B1%7D%7B~~%5Cbegin%7Bmatrix%7D%203%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B%5Cunderset%7B3%7D%7B~~%5Cbegin%7Bmatrix%7D%209%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B3%7D)