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3 years ago

There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater.

Mathematics

2 answers:

allsm [11]3 years ago

6 0

<span>2.3x10^19 kg This is a matter of multiplication using scientific notation. First, multiply the mantissas 3.5 * 6.6 = 23.1 Then add the exponents -2 + 20 = 18 So we initially have 23.1x10^18 But 23 is too large (the number has to be greater than or equal to 1 and less than 10). So divide the 23.1 by 10 and add 1 to the exponent, getting 2.31x10^19 Then since the least accurate value we have for input has only 2 significant digits, round the result to 2 significant digits, getting 2.3x10^19 kg</span>

olasank [31]3 years ago

6 0

IT IS 2.31, I AM TELLING YOU THIS IS 2.31

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The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

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In trigonometric form:

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= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

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