Pls help me solve this question pls show how you got the answer

Mathematics

2 answers:

Margarita [4]2 years ago

6 0

The answer is C.
explanation:

Thepotemich [5.8K]2 years ago

4 0

C
it appears that there are 7 cubes, so divide the overall volume by the seven cubes, making the volume of each one would 8. Volume is length times with times height so you would find the cube root of eight which is two. This means that each side length is 2 so you would find the area of each side and add them all together. This adds up to equal 120.
Hope this helped!!

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A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents t

PolarNik [594]

Answer:

The tank must remain intact for 1183 years.

Step-by-step explanation:

Exponential equation for decay:

The amount of a substance after t years is given by:

$A(t) = A(0)e^{rt}$

In which A(0) is the initial amount and r is the decay rate.

A storage tank contains a liquid radioactive element with a half-life of 96 years.

This means that $A(96) = 0.5A(0)$ , and we use this to find r.

$A(t) = A(0)e^{rt}$

$0.5A(0) = A(0)e^{96r}$

$e^{96r} = 0.5$

$\ln{e^{96r}} = \ln{0.5}$

$96r = \ln{0.5}$

$r = \frac{\ln{0.5}}{96}$

$r = -0.0072$

$A(t) = A(0)e^{-0.0072t}$

It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?

This is t for which $A(t) = 0.0002A(0)$ . So