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bulgar [2K]
3 years ago
9

The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this

Mathematics
1 answer:
avanturin [10]3 years ago
5 0

\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265

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Please help this is due today
prisoha [69]

Answer:

x=28°

y=152°

Step-by-step explanation:

x=28°

y=152°

3 0
3 years ago
Rectangle A has a length of 12 and width of 8. Rectangle B has a length of 15 and a width of 10.
navik [9.2K]

Answer:

rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k =  =  ← ratio of lengths

k =  =  ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k =  =  ← ratio of lengths

k =  =  ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k =  =  ← ratio of lengths

k =  ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C

Step-by-step explanation:

6 0
3 years ago
What is the area, in yards, of<br>a box thats 38 feet wide by<br>15 feet<br> long?​
pshichka [43]

Answer:

570

step-by-step explanation:

assuming you're talking about a 2-dimensional rectangle,

Area = base x height

base = 38

width = 15

Area = 38 * 15

Area = 570 ft

570ft * (1 yard/3ft) = 190 yards

6 0
3 years ago
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4 / 7 + −1 / 3 <br> HELP PLAESEEEEE
sasho [114]

Answer:

are those fractions or division signs

Step-by-step explanation:

.........................

6 0
3 years ago
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the length , breadth and height of a cuboid is 2x^2y cm,5y^2z cm and 4z^2x cm. The volume of the cuboid is ...............
kondor19780726 [428]

For this case we have that by definition, the volume of a cuboid is given by:

V = L * A * h

Where:

L: It's the long

A: It is the width

h: It is the height

According to the problem data we have:

L = 2x ^ 2y \ cm\\A = 5y ^ 2z \ cm\\h = 4z ^ 2x \ cm

So, the volume of the cuboid is:

V = (2x ^ 2y) (5y ^ 2z) (4z ^ 2x)\\V = 10x ^ 2y ^ 3z (4z ^ 2x)\\V = 40x ^ 3y ^ 3z ^ 3

Finally, the volume of the cuboid is: V = 40x ^ 3y ^ 3z ^ 3

Answer:

V = 40x ^ 3y ^ 3z ^ 3

7 0
3 years ago
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