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spayn [35]
2 years ago
14

Someone tell me the answer please

Mathematics
1 answer:
tatyana61 [14]2 years ago
8 0

Answer:

Step-by-step explanation:

Cost = 45 * hours worked (x) + 60

a) Cost = 45 * 2 + 60

                90 + 60 = 150

b) Cost = 45 * x + 60

  285 = 45x + 60

 - 60             -60

  225 = 45x

   /45    /45

    5 = x

   The job lasted 5 hours.

c) 60 represents the cost for hiring an electrician for 0 hours.

Hope that helps!

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PLEASE HELP
Goshia [24]

Answer:

Original cost was $19.99

Step-by-step explanation:

100% - 15% = 85%

16.99 / 0.85 = 19.99

To check:

19.99 * 0.15 = 2.998

19.99 - 2.998 = 16.992 = 16.99

Correct!!

5 0
3 years ago
Read 2 more answers
I need help with this problem from the calculus portion on my ACT prep guide
LenaWriter [7]

Given a series, the ratio test implies finding the following limit:

\lim _{n\to\infty}\lvert\frac{a_{n+1}}{a_n}\rvert=r

If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:

\begin{gathered} a_n=\frac{2^n}{n5^{n+1}} \\ a_{n+1}=\frac{2^{n+1}}{(n+1)5^{n+2}} \end{gathered}

Then the limit is:

\lim _{n\to\infty}\lvert\frac{a_{n+1}}{a_n}\rvert=\lim _{n\to\infty}\lvert\frac{n5^{n+1}}{2^n}\cdot\frac{2^{n+1}}{\mleft(n+1\mright)5^{n+2}}\rvert=\lim _{n\to\infty}\lvert\frac{2^{n+1}}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^{n+1}}{5^{n+2}}\rvert

We can simplify the expressions inside the absolute value:

\begin{gathered} \lim _{n\to\infty}\lvert\frac{2^{n+1}}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^{n+1}}{5^{n+2}}\rvert=\lim _{n\to\infty}\lvert\frac{2^n\cdot2}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^n\cdot5}{5^n\cdot5\cdot5}\rvert \\ \lim _{n\to\infty}\lvert\frac{2^n\cdot2}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^n\cdot5}{5^n\cdot5\cdot5}\rvert=\lim _{n\to\infty}\lvert2\cdot\frac{n}{n+1}\cdot\frac{1}{5}\rvert \\ \lim _{n\to\infty}\lvert2\cdot\frac{n}{n+1}\cdot\frac{1}{5}\rvert=\lim _{n\to\infty}\lvert\frac{2}{5}\cdot\frac{n}{n+1}\rvert \end{gathered}

Since none of the terms inside the absolute value can be negative we can write this with out it:

\lim _{n\to\infty}\lvert\frac{2}{5}\cdot\frac{n}{n+1}\rvert=\lim _{n\to\infty}\frac{2}{5}\cdot\frac{n}{n+1}

Now let's re-writte n/(n+1):

\frac{n}{n+1}=\frac{n}{n\cdot(1+\frac{1}{n})}=\frac{1}{1+\frac{1}{n}}

Then the limit we have to find is:

\lim _{n\to\infty}\frac{2}{5}\cdot\frac{n}{n+1}=\lim _{n\to\infty}\frac{2}{5}\cdot\frac{1}{1+\frac{1}{n}}

Note that the limit of 1/n when n tends to infinite is 0 so we get:

\lim _{n\to\infty}\frac{2}{5}\cdot\frac{1}{1+\frac{1}{n}}=\frac{2}{5}\cdot\frac{1}{1+0}=\frac{2}{5}=0.4

So from the test ratio r=0.4 and the series converges. Then the answer is the second option.

8 0
2 years ago
If you divide my number by two and subtract four you will get to
Naddika [18.5K]
What is your number ?
4 0
4 years ago
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<img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%209x%20-%206" id="TexFormula1" title="y = - 9x - 6" alt="y = - 9x - 6" align=
Veronika [31]

Answer: 9x+y=-6

Step-by-step explanation:

Standard: Ax+By=C

y=-9x-6

We need -9x on the left side, to move it, we must add 9x on both sides.

9x+y=-9x-6+9x\\9x+y=-6

Done. We have Ax = 9x, By = 1y and C after the equal sign = -6

6 0
3 years ago
What is 4/7 + 1/8 in math
Strike441 [17]

Answer:

39/56

Step-by-step explanation:

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3 years ago
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