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Helga [31]
3 years ago
13

Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna’s gross pay for last week was $

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

<h2>396 dollars</h2>

Step-by-step explanation:

44 \: hours \:  \times 9 \: \frac{dollars}{hour}  =

396 \: dollars

Hope I helped, if you have any questions please let me know! Brainliest is always Appreciated!

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Perform long division on the​ integrand, write the proper fraction as a sum of partial​ fractions, and then evaluate the integra
worty [1.4K]

Answer:

x^2+4x -\frac{1}{2}  lnx  + \frac{2}{13}  ln(x-2) + C

Step-by-step explanation:

Given the integrand \int\limits{\dfrac{2x^3 - 2x + 1}{x^2-2x} } \, dx, before evaluating the integral function, we will need to simplify the function first by applying long division as shown in the attachment.

Hence the partial form of the function \dfrac{2x^3 - 2x + 1}{x^2-2x} } = 2x+4 + \frac{6x+1}{x^2-2x}

Integrating its partial sum

\int\limits \dfrac{2x^3 - 2x + 1}{x^2-2x} }dx  = \int\limits  (2x+4 + \frac{6x+1}{x^2-2x})\ dx\\\\= \int\limits {2x} \, dx + \int\limits {4} \, dx + \int\limits {\frac{6x+1}{x^2-2x} \, dx\\ = \frac{2x^2}{2}+4x -\frac{1}{2}  \int\limits{\frac{1}{x} } \, dx  + \frac{2}{13}  \int\limits{\frac{1}{x-2} } \, dx

=  \frac{2x^2}{2}+4x -\frac{1}{2}  lnx  + \frac{2}{13}  ln(x-2) + C

= x^2+4x -\frac{1}{2}  lnx  + \frac{2}{13}  ln(x-2) + C

<em>NB: Find the partial sum calculation also in the attachment. </em>

5 0
3 years ago
Trevor has 3 2/5 pieces of cake left over. If she wants to split it between her and her 9 friends, how much will each
bagirrra123 [75]

Answer:

17/50.

Step-by-step explanation:

If we convert 3 2/5 into an improper fraction, we get 17/5.

If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.

The question says "her AND her 9 friends," so there are 9+1=10 people total.

Thus, the answer would be

17/5 ÷ 10 = 17/5 * 1/10 = 17/50.

5 0
3 years ago
Slope:<br> what is the slope?
Len [333]

Answer: -2

Step-by-step explanation:

So basically I located the y-intercept first. Where is that? At the point (0,-2). Now from there, I found the nearest point on an intersecting grid line, in this case it would be (-1,0). So from the y-intercept, I looked at how many spaces I would have to move to get to (-1,0). You would have to go up 2 spaces and to the left 1 space. This is also written as 2/-1. Simplify this and you get -2! Hope this helped!

3 0
3 years ago
9x-8y=0<br> Graph the following liner equation
k0ka [10]
Y= -9x
       ---
       8

hope this helps

<span><span>
</span></span>
6 0
3 years ago
Read 2 more answers
The mass of an electron is approximately 9 × 10-28 grams, while the mass of a neutron is approximately 2 × 10-24 grams. Which of
aalyn [17]

Answer: the mass of a neutron is approximately 2,000 times the mass of an electron

Step-by-step explanation:

- the easiest way to solve this (in my opinion) is to simply divide the mass of a neutron by the mass of an electron

- 2 x10^{-24} / (9 x10^{-28} )

=  (2/9) x10^{-24--28}

=  (2/9)x10^{-24+28}

≈  0.2222x10^{28-24}

≈ 0.2222x10^{4}

≈ which is approximately 2222    

- so 2222 is approximately 2000 times

- therefore, the mass of a neutron is approximately 2,000 times the mass of an electron

hope this helps :)

4 0
2 years ago
Read 2 more answers
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