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Firdavs [7]
3 years ago
5

What decimal represents 6×1,000+2×10+3×1/10+5×1/1,000

Mathematics
1 answer:
Contact [7]3 years ago
4 0

6 × 1,000 = 6,000

2 × 10 = 20

3 × 1/10 = 3/10 = 0.3

5 × 1/1,000 = 5/1,000 = 0.005

6 × 1,000 + 2 × 10 + 3 × 1/10 + 5 × 1/1,000 = 6,020.305

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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
a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel
emmasim [6.3K]

Answer:

\frac{5}{52}

Step-by-step explanation:

Coin toss:

Total\ outcome=\{H,T\}\\\\Favourable\ outcome=\{H\}\\\\P(Head)=\frac{Favourable\ outcome}{Number\ of\ total\ outcome}\\\\P(Head)=\frac{1}{2}

Letter Selection:

Number\ of\ total\ outcomes=26\ \ \ \ \ \ \ as\ total\ letters\ are\ 26\\\\Favourable\ outcomes=5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ there\ are\ 5\ vowels\\\\P(vowel)=\frac{Favourable\ outcomes}{Number\ of\ total\ outcomes}\\\\P(vowel)=\frac{5}{26}

These\ two\ events\ are\ independent.\\\\Hence\ probability\ of\ head\ and\ then\ vowel=\frac{1}{2}\times \frac{5}{26}=\frac{5}{52}

4 0
3 years ago
What is 1/125 as a decimal?
svlad2 [7]
1/125 in a decimal is 0.008.
5 0
3 years ago
Read 2 more answers
Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.
alexdok [17]
Group and factor/undistribute

(x^2y^3-2y^3)+(-2x^2+4)
(y^3)(x^2-2)+(-2)(x^2-2)
see the (x^2-2) is common term so undistribute
(x^2-2)(y^2-2)

last one
4 0
3 years ago
100 POINTS!! PLEASE HELP IM REALLY CONFUSED
11111nata11111 [884]

Answer:

1:

<A=½(arcJL)=½(70+120)=35+60=95°

[inscribed angle is half of central angle]

2:

<W=½arcVX=½(130)=65°

[inscribed angle is half of central angle]

3.

<E=½(arcDC)=½(90)=45°

[inscribed angle is half of central angle]

4.

<R=½(arcXZ)=½(110+62)=86°

[inscribed angle is half of central angle]

5.

<B=½(arc DC)=½×104°=52°

[inscribed angle is half of central angle]

6.

<K=90°

[inscribed angle in a diameter is complementary]

<K+<J+<L=180°(sum of interior angle of a triangle]

<L=180°-90°-53°=37°

again

arc JK=2×<L=2×37=74°

3 0
3 years ago
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