The scneario here expressed is an aritmetic sequence because it can be explained like this:
<span><span><span>a1</span>=35
</span><span><span>an</span>=<span>a<span>n−1</span></span>+<span>17
So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case</span></span></span>
Sally paints at a rate of 1/7th room / hour
Steve paints at a rate of 1/6th room / hour
If they both painted together, they would paint 1/7 + 1/6 = 13/42 room/hour
so to paint the whole room, it would take 1/(13/42) = 42/13 =
<u>
3.23 hours (3 significant figures)</u>
To make this problem easier you could make the denominators equal to combine the 2 bills to see how of his paycheck is being used already. to 2/7 = 6/21 and 1/3=7/21 so with 6/21 and 7/21 you can combine them and you have 13/21 is used on bills so 21/21(which represents the whole paycheck) - 13/21 =8/21 so 8/21 is what is left his paycheck to spend write this as a decimal by dividing and you will have the percentage that he has left so 8/21 = .38 so he can spend approximately 38% of his check on games and 63dollars * .38 is about 24dollars 63*.38 =24(approximately) you divide 8/21 and get an exact answer.
1.) Is -4
2.) Is -1
I just took the test, So I know that's the right answer! :)
Hope this helps. :)
<span><span><span>log<span>(<span>x10</span>)</span></span>=14</span><span><span>log<span>x10</span></span>=14</span></span>Rewrite <span><span><span>log<span>(<span>x10</span>)</span></span>=14</span><span><span>log<span>x10</span></span>=14</span></span> in exponential form using the definition of a logarithm. If <span>xx</span> and <span>bb</span> are positive real numbers and <span>bb</span><span>≠≠</span><span>11</span>, then <span><span><span><span>logb</span><span>(x)</span></span>=y</span><span><span><span>logb</span>x</span>=y</span></span> is equivalent to <span><span><span>by</span>=x</span><span><span>by</span>=x</span></span>.<span><span><span>1014</span>=<span>x10</span></span><span><span>1014</span>=<span>x10</span></span></span>Solve for <span>xx</span>Tap for less steps...Raise <span>1010</span> to the power of <span>1414</span> to get <span>100000000000000100000000000000</span>.<span><span>100000000000000=<span>x10</span></span><span>100000000000000=<span>x10</span></span></span>Since <span>xx</span> is on the right side of the equation, switch the sides so it is on the left side of the equation.<span><span><span>x10</span>=<span>1014</span></span><span><span>x10</span>=<span>1014</span></span></span>Multiply both sides of the equation by <span>1010</span>.<span><span>x=<span><span>1014</span>⋅<span>(10)</span></span></span><span>x=<span><span>1014</span>⋅10</span></span></span>Simplify the right side.Tap for more steps...<span><span>x=1000000000000000</span><span>x=1000000000000000</span></span>Verify each of the solutions by substituting them back into the original equation <span><span><span><span>log<span>(x)</span></span><span>−<span>log<span>(10)</span></span></span></span>=14</span><span><span><span>logx</span><span>-<span>log10</span></span></span>=14</span></span> and solving. In this case, all solutions were found to be valid.<span>x=<span>1000000000000000
So here it is...COuld be a little sloppy</span></span>
