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SSSSS [86.1K]
3 years ago
6

Suppose the half-life of an element is 10 years. How many half-lives will it take before only about 6% of the original sample re

mains?
Physics
2 answers:
sergiy2304 [10]3 years ago
4 0
You don't need to worry about the 10 year bit with this question. Just grab a calculator and divide 100/2, then the answer to that (50) by 2 etc and keep dividing by 2 until you get down to 6.25.

The answer ends up being 4 half lives :)

If you don't understand what a half life is please let me know :)
Lelechka [254]3 years ago
3 0

Answer:

40.59 years

Explanation:

Use the decay law of radioactivity

N = N_{0}e^{-\lambda t}

Where, λ is the decay constant

λ = 0.6931 / T

where, T is the half life

λ = 0.6931 / 10 = 0.06931 per year

So, N = 6% of N0

0.06 = e^{-0.06931\times t}

By solving we get

t = 40.59 years

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1. Which of the following is correct about the sampling distribution of the sample mean
joja [24]

Answer:

In my opinion I think that the answer is C sorry If I get this wrong.

5 0
3 years ago
A block of metal is 3 cm on each side. It has a mass of 283.5 grams. What is the density of the metal.
Luden [163]
Density =  \frac{Mass}{Volume}
\\\rho=\frac{m}{V}
\\\\\rho=\frac{283.5}{3^3}
\\\\\rho=\frac{283.5}{27}
\\\\\rho = 10.5  g/cm^3

5 0
3 years ago
A guitar string with a linear mass density of 2.0 g/m is stretched between two vertical rods that are 65 cm apart. The string ho
Rudiy27

Answer:

717 Hz

Explanation:

<u>solution:</u>

The wave with three antinodes has m = 3. Thus, f_3 = 3f_1 and so the fundamental frequency of the string is  

f_1 =f_3/3

    =430 Hz/3

    =143 Hz

Thus, the frequency of the fifth harmonic is

f_5 = 5*f_1

      = 5*143 Hz

     = 717 Hz

7 0
4 years ago
Volume , mass, and weight can be measured with balances, scales, and ?
BigorU [14]


If you are talking about volume, then an easy way to measured the volume of a liquid would be with a graduated cylinder. A graduated cylinder is marked with volume units such as milliliter (mL) or the liter (L). One liter equals 1 thousand milliliters.

To measure the volume of a solid you use the formula V = (Length)(Width)(Height)

To measure the volume of a gas you use a graduated cylinder held upside down. At first the cylinder is filled with water. When air is blown into the cylinder, bubbles rise and push some water down. The volume of the water pushed down is equal to the volume of the gas that was blown in.

6 0
3 years ago
it takes a hose 4 minutes to fill a rectangular aquarium 9 inches long, 13 inces wide, and 14 inces tall. how long will it take
Studentka2010 [4]

Answer: 43.58 min

Explanation:

Knowing the volume of a rectangular object is length x width x height, we have two volumes:

V_{1}=(9 in)(13 in)(14 in)=1638 in^{3}

V_{2}=(21 in)(25 in)(34 in)=17850 in^{3}

And we know it takes a time of 4 minutes to fill V_{1}.

If we want to know how long will it take the same hose to fill another tank with volume V_{2}, we can use the <u>Rule of three</u>, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known:

1638in^{3} ---- 4min

17850in^{3} ---- ?

?=\frac{(17850 in^{3})(4min)}{1638 in^{3}}

Finally:

?=43.58 min

4 0
3 years ago
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