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2 years ago

Simplify4.8×10⁵+9.5×10⁵

Mathematics

2 answers:

Norma-Jean [14]2 years ago

7 0

Answer:

Scientific Notation:

1.43 ⋅ 10^6

Expanded Form:

1430000

Step-by-step explanation:

Hope this helps! have a safe and joyful holiday

lys-0071 [83]2 years ago

7 0

The correct answer that i got is 1.43 × 10^6

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Step-by-step explanation:

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3 years ago

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36 singers in the choir 5/6 are boys how many of the singers are girls

Aleksandr [31]

Answer:

Step-by-step explanation:

5/6 of 30 = ?

5 x

---- = ----

6 36

36 x 5 = 180

180/6 = 30

That means 30 singers are boys.

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3 years ago

Find e^cos(2+3i) as a complex number expressed in Cartesian form.

ozzi

Answer:

The complex number $e^{\cos(2+31)} = \exp(\cos(2+3i))$ has Cartesian form

$\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2)$ .

Step-by-step explanation:

First, we need to recall the definition of $\cos z$ when $z$ is a complex number:

$\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}$ .

Then,

$\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}$ . (I)

Now, recall the definition of the complex exponential:

$e^{z}=e^{x+iy} = e^x(\cos y +i\sin y)$ .

So,

$e^{2i-3} = e^{-3}(\cos 2+i\sin 2)$

$e^{-2i+3} = e^{3}(\cos 2-i\sin 2)$ (we use that $\sin(-y)=-\sin y)$ .

Thus,

$e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)$

Now we group conveniently in the above expression:

$e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2$ .

Now, substituting this equality in (I) we get

$\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2$ .

Thus,

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)$

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right]$ .

5 0

2 years ago

Multiply using mental math find the product.tell which strategy you used.

andreyandreev [35.5K]

Well nine times 199 is 1,791but im not sure if thats what its asking

3 0

3 years ago

Simplify4.8×10⁵+9.5×10⁵​

Simplify4.8×10⁵+9.5×10⁵