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Minchanka [31]
3 years ago
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Mathematics
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BigorU [14]3 years ago
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Evaluate the expression when m=4 and n=9 5m-n
Zigmanuir [339]
 5m-n
Just replace m with 4 and n with 9
5(4)-9=20-9=11
6 0
4 years ago
Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
Solve for x.3(3x - 1) + 2(3 - x) = 0
mote1985 [20]
9x-3+6-2x=0
7x+3=0
X=-3/7
5 0
3 years ago
Read 2 more answers
Someone pls help me I turn this in today the answer is there I just need to show work pls help me​
dolphi86 [110]

Hello and Good Morning/Afternoon

<u>Let's tale this problem step-by-step</u>:

<u>What does the problem want:</u>

 \hookrightarrow \text{the unemployment compensation}

<u>Employment compensation</u> =55% of the average of the last 26-week salary

  \hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}

         ⇒ 55% of that average

                \hookrightarrow \frac{55}{100} *728.46 = 400.65

<u>Answer: $400.65</u>

Hope that helps!

#LearnwithBrainly

5 0
2 years ago
Which line contains the pint (6-4) and has a slope of -5/6
natima [27]

Answer:

y = - 5/6 x + 1

Step-by-step explanation:

y = mx + b      m: slope    b: y intercept

point (6 , -4)        x = 6     y = -4

b = y - mx = -4 - ((-5/6) x 6) = - 4 + 5 = 1

equation: y = - 5/6 x + 1

7 0
3 years ago
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