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jek_recluse [69]
3 years ago
5

Select all complex numbers 5-√9/4 1+√-3 4-3√-16 2-√12➗5 3+2√-9➗7 9√-7/5

Mathematics
1 answer:
garri49 [273]3 years ago
6 0

Answer:

5-√9/4

1+√-3

4-3√-16

Step-by-step explanation:


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Evaluate the given integral by changing to polar coordinates. sin(x2 + y2) dA R , where R is the region in the first quadrant be
koban [17]

Set

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dA=r\,\mathrm dr\,\mathrm d\theta

The region R is given in polar coordinates by the set

R=\left\{(r,\theta)\mid2\le r\le3,0\le\theta\le\dfrac\pi2\right\}

So we have

\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_2^3r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac\pi4(\cos4-\cos9)}

8 0
4 years ago
What is the slope of the line given by the equation -3x = 30 - 5y?
zaharov [31]

Answer:

The slope of the line given by the equation -3x=30-5y is \frac{3}{5}.

Step-by-step explanation:

-3x=30-5y

Move the -3x to the right side of the equal sign and the -5y to the left.

5y=30+3x

By switching them to opposite sides, their sign changes from - to +.

Then, divide both sides by 5 in order to isolate the y.

\frac{5y}{5} = \frac{30+3x}{5}

You get:

<em>y= </em>\frac{3}{5} x +6<em />

According to y=mx+b, mx refers to the slope.

In this case, the slope would be \frac{3}{5}.

8 0
3 years ago
Explain how you know if a system of equations has one solution, no solutions, or infinitely many solutions. Write your answers (
Nataliya [291]

Answer:

Written Below.

Step-by-step explanation:

A system of linear equations has one solution when the graphs intersect at a point. A system of linear equations has no solution when the graphs are parallel. A system of linear equations has infinite solutions when the graphs are the exact same line.

(This uses graphing.)

Sidenote: I hope this helps! :)

7 0
3 years ago
Frank is lending $1,000 to Sarah for two years. Frank and Sarah agree that Frank should earn a real return of 4 percent per year
Montano1993 [528]

Answer:

nominal rate of interest is 31.7 %

Step-by-step explanation:

given data

payment = $1000

time = 2 year

rate = 4%

CPI = 100

CPI final yer = 127.7

to find out

nominal rate of interest

solution

we know nominal rate of interest formula that is

nominal rate of interest = real interest rate + inflation rate    .........1

so here inflation rate is express as

inflation rate = ( CPI final year - CPI )  / CPI  × 100    ...........2

put here value

inflation rate = ( 127.7 - 100 )  / 100  × 100

inflation rate is 27.7 %

so from equation 1

nominal rate of interest = real interest rate + inflation rate

nominal rate of interest = 4% + 27.7%

nominal rate of interest is 31.7 %

7 0
3 years ago
100 points plz anwser <br> Complete the inequality for this graph.<br> y = [?]<br> Enter
marshall27 [118]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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