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2 years ago

Tristian bought an orange that weighs 1/5 a pound

Mathematics

1 answer:

statuscvo [17]2 years ago

8 0

1/5 pound would be 20% of a pound or 0.2 pounds :)

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Helpppp meeee please I can’t fail

Mazyrski [523]

7/12 by 4/3

Step by step:

3 1/2 * 1/6 = 7/12

8*1/6 = 8/6 = 4/3

8 0

3 years ago

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

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

$0.0002A(0) = A(0)e^{-0.0072t}$

$e^{-0.0072t} = 0.0002$

$\ln{e^{-0.0072t}} = \ln{0.0002}$

$-0.0072t = \ln{0.0002}$

$t = -\frac{\ln{0.0002}}{0.0072}$

$t = 1183$

The tank must remain intact for 1183 years.

5 0

3 years ago

Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each w

scoundrel [369]

Answer:

14 ( c ) = Caleb's

12 ( c + 10 ) = Sergio's

Step-by-step explanation:

Caleb lifted 14 boxes so you multiply 14 by c which is the weight of each box and for Sergio he lifted 12 boxes although his weighed 10 pounds more so you add 10 to c which would equal c + 10 multiplied by 12

hope this did not confuse you

5 0

3 years ago

What is the slope?

valkas [14]

Answer:

1 1/2 I think either that are the other way around

8 0

3 years ago

Which of these fractions is equivalent 1/8? A.3/24 B.2/9 C.1/16 D.9/17 E.11/18

Brrunno [24]

Answer:A:3/24

Step-by-step explanation:

It’s basic math

4 0

3 years ago