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3 years ago

A sample of a radioactive element has a mass of 80 g. How much daughter materials are in the sample after two half-lives?

Mathematics

1 answer:

Sergio039 [100]3 years ago

4 0

Answer:

60g

Step-by-step explanation:

A sample of radioactive element has a mass that weighs 80g

The amount of life spent is two half-lives

This means that after two half lives, the number of daughter materials that would be available in the sample is 60g

Hence 60g of daughter cells would be available after two half lives

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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

expeople1 [14]

The probability that one of each color is selected is $\frac{10x - x^2}{45}$

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

Total = 10
Red = x
Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

$P = P(Blue) \times P(Red) + P(Red) \times P(Blue)$

So, we have:

$P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}$

This gives

$P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}$

Take LCM

$P = \frac{2x(10 - x)}{90}$

Simplify the above expression

$P = \frac{x(10 - x)}{45}$

Expand

$P = \frac{10x - x^2}{45}$

Hence, the probability that one of each color is selected is $P = \frac{10x - x^2}{45}$

Read more about probabilities at:

brainly.com/question/7965468

4 0

3 years ago

What is the sum of 7x/(x^2-4) and 2/(x+2)

ioda

Answer:

The answer is 9x-4/(x+2)(x-2)

7 0

3 years ago

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a fish tank is shaped like a rectangular prism. it has a length of 5 ft., a width of 2 ft., and a height of 3 ft. what is the vo

coldgirl [10]

Answer:

V (volume) = 30

Step-by-step explanation:

V=whl=2·3·5=30

4 0

3 years ago

The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x

krok68 [10]

Answer:

$5.62 + 3.65 + 5.62 + x = 23.59$

$x = 8.7 ft$

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️ $5.62 + 3.65 + 5.62 + x = 23.59$

Solve for x

$14.89 + x = 23.59$

Subtract 14.89 from each side

$14.89 + x - 14.89 = 23.59 - 14.89$

✔️ $x = 8.7 ft$

4 0

3 years ago

@mehek14

gayaneshka [121]

X=cost per hamburgurs
y=cost per hot dog

200x+150y=1450
200x+250y=1750

we can multiply first equation by -1 and add to 2nd

-200x-150y=-1450
<u>200x+250y=1750 +</u>
0x+100y=300

100y=300
divide both sides by 100
y=3

sub back

200x+150y=1450
200x+150(3)=1450
200x+450=1450
minus 450 both sides
200x=1000
divide both sides by 200
x=5

the cost of a hamburgur is $5
the cost of a hot dog is $3

8 0

3 years ago

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