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Anna35 [415]
2 years ago
6

3125x=−62 value of x.

Mathematics
1 answer:
Papessa [141]2 years ago
5 0

Answer:

x= -0.01984

Step-by-step explanation:

You divide both sides by 3125 to get x alone.

You get x=-0.01984

Hope this helps!

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In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the
vlada-n [284]

Answer:

D=3.5\ gr/cm^3

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

\displaystyle D=\frac{m}{V}

It can be expressed in common units like gr/lt, Kg/m^3, gr/cm^3 or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

m=200\ mg = 0.2\ gr

V=0.057\ cm^3

Thus, the measured density is

\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}

\boxed{D=3.5\ gr/cm^3}

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

6 0
3 years ago
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Hope this helps! :)

8 0
2 years ago
What is the product of (x+2) (x-4)
skelet666 [1.2K]
(x + 2)(x - 4)

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3 0
3 years ago
Probe that:<br><img src="https://tex.z-dn.net/?f=%20%5Csec%20%5Calpha%20%20%5Csqrt%7B1%20-%20%20%5Csin%28%20%7B%7D%5E%7B2%7D%20%
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Step-by-step explanation:

<h3>\sec \alpha  \sqrt{1 -  \sin ^{2}   \alpha }  = 1</h3>

Prove the LHS

Using trigonometric identities

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<u>Rewrite the expression</u>

We have

<h3>\sec \alpha  \sqrt{ \cos^{2} \alpha  }</h3>

<h3>\sqrt{ { \cos }^{2}  \alpha }  =  \cos \alpha</h3>

So we have

<h3>\sec  \alpha  \times  \cos \alpha</h3>

Using trigonometric identities

<h3>\sec \alpha  =  \frac{1}{ \cos \alpha }</h3>

<u>Rewrite the expression</u>

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<h2>1</h2>

As proven

Hope this helps you

7 0
2 years ago
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