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3 years ago

When 3+4i2+i is expressed in the form a+bi, what is the value of a?

1 answer:

7 0

Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<span>Thus a=2</span>

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Express 192 as the product of its prime factors write the prime factors in ascending order.

ira [324]

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

4 0

3 years ago

Find an explicit solution to the Bernoulli equation. y'-1/3 y = 1/3 xe^xln(x)y^-2

NNADVOKAT [17]

$y'-\dfrac13y=\dfrac13xe^x\ln x\,y^{-2}$

Divide both sides by $\dfrac13y^{-2}(x)$ :

$3y^2y'-y^3=xe^x\ln x$

Substitute $v(x)=y(x)^3$ , so that $v'(x)=3y(x)^2y'(x)$ .

$v'-v=xe^x\ln x$

Multiply both sides by $e^{-x}$ :

$e^{-x}v'-e^{-x}v=x\ln x$

The left side can be condensed into the derivative of a product.

$(e^{-x}v)'=x\ln x$

Integrate both sides to get

$e^{-x}v=\dfrac12x^2\ln x-\dfrac14x^2+C$

Solve for $v(x)$ :

$v=\dfrac12x^2e^x\ln x-\dfrac14x^2e^x+Ce^x$

Solve for $y(x)$ :

$y^3=\dfrac12x^2e^x\ln x-\dfrac14x^2e^x+Ce^x$

$\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}$

4 0

3 years ago

What is the answer to 1/2x + 10

ch4aika [34]

Ok well we don’t know what the equation equals so technically x can be anything

4 0

2 years ago

Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

IRISSAK [1]

Answer:

Step-by-step explanation:

We can use the Pythagorean theorem to find the answer

The lengths in the problem form a right triangle with a hypotenuse of 20ft and legs of 16ft and the horizantal distance

400-256 = 144

✓144 = 12

7 0

3 years ago

Read 2 more answers

A boat costs $19,200 and decreases in value by 12% per year. How much will the boat be worth after 5 years?

Fiesta28 [93]

I = Prt
I = ($19,200)(12%)(5)
I = $11,520

The boat would cost $11,520 in 5 years.

3 0

3 years ago