A storage tank contains a liquid radioactive element with a half-life of 96 years. 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?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)

Answers

Answer 1

Answer:

t = 1180 years

Step-by-step explanation:

We will solve this using the radioactive decay formula which is;

A = A_o × 2^(-t/h)

Where;

A = Amount of liquid remaining after time (t)

A_o = initial amount of liquid at initial time

t = time of decay

h = half-life of the liquid

We have;

A_o = 1(we assume it is 100% which is 1)

A = 0.02% = 0.0002

h = 96 years

Thus;

0.0002 = 1 × 2^(-t/96)

0.0002 = 2^(-t/96)

(-t/96)log 2 = log 0.0002

(-t/96) = (log 0.0002)/log 2

(-t/96) = -12.2877

t = 96 × 12.2877 (negative has canceled out)

t = 1179.6192

To the nearest year gives;

t = 1180 years


Related Questions

Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.

Answers

Answer:

b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.

Step-by-step explanation:

Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.

Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.

Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress

Answers

9514 1404 393

Answer:

  2 11/12 yards

Step-by-step explanation:

Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.

  1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12

Carol will need 2 11/12 yards of the material for the dress.

Answer:

2 11/12 yards

Step-by-step explanation:

Please help me please

Answers

Answer:

F

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now ​

Answers

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?

Answers

Answer:

she can paint 17  statues (with  some paint left,but not enough for another statue)

Step-by-step explanation:

7/8 divided into  1/20

is the same as   7/8 multiplied by 20/1

7/8 x 20/1  = 140/8  = 17.5

If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12

Answers

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

Let ​g(x)x and ​h(x)
. Evaluate .

Answers

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]

if a=1 and b=2 what is the value of a²+b²?​

Answers

Answer:

1^2+2^2=5

Step-by-step explanation:

Answer is 5..

What is the value of 1 / 5 (6 + 8.5)?

Answers

Your answer is gonna be: 2.9
The answer is 29/10 or 2.9

PLEASE HELP:(
In the book Cinder, What happened just after Prince Kai hired Cinder to fix his android?

The baker, Chang Sacha, showed symptoms of the plague and was taken away.

Adri sent her a comm telling her the apartment building was on fire.

A hover malfunctioned and crashed into Cinder's booth, destroying it.

She saw Pearl and her friends tormenting a young cyborg boy in the market.

Answers

Answer:

Adri sent her a comm telling her the apartment building was on fire.

Step-by-step explanation:

good luck

what is the answer ?
640
240
300
and 320

Answers

Step-by-step explanation:

10±10±30±30=80

8round = 80×8=640

don't forget me to follow
The answer is 640
Explanation :
P=(l+b)
l=30
b=10
so,P = 80
The rabbit have covered the field 8 times
So, it is 8x80=640
Hence the answer is 640

look at the picture above please help

Answers

Answer:

♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]

☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]

Height ( h ) = 4 cm , Base ( b ) = 16 cm

☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]

Area of the parallelogram

☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]

☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]

~Plug the known values & then multiply!

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]

☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

What is the arc measure of major arc ABC in degrees?

Answers

Answer:

123847323247647525547824817703412

Which of the following lists all the positive factors of 8?
O 1,8
O 2,4
O 2, 4, 6
O 8, 16, 32
O 1, 2, 4, 8
Calculator

Answers

The answer is 1, 2, 4, 8

What is the measure of angle B in degrees?

Answers

Answer: how do I delete my answer?

Step-by-step explanation.

Here's the solution,

=》 C + 112° = 180°

( they form linear pair )

=》 C = 180° - 112°

=》C = 68°

And we know, measure of exterior angle if a triangle is equal to the sum of measures of the opposite interior angles,

So,

=》B = C + 51°

=》B = 68° + 51°

=》B = 119°

Find the value of x.

Answers

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities

Answers

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1

Answers

I think b but not sure :)

Answer:B

Step-by-step explanation:

just took the test

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

Answers

Answer:

FD ≈ 252.8 feet

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(20°) =  

tan(20°) =  

0.36397 =  

FD =  

FD = 252.77

FD ≈ 252.8 feet

Which of the following represents a coefficient from the expression given?

5x - 21 + x2

Answers

Answer:

1 or 5

Step-by-step explanation:

A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".

So, in this case, the coefficient of 5x would be 5.

The coefficient of x^2 would be 1.

Hope this helps!

Find the value of x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?

Answers

5:6?
Is this it I’m not sure

PLEASE I need help really bad I only have 10 minutes left to turn it in!! I’ll mark you as brainliest please!!!

Answers

Answer:

Area=76.8

Perimeter=49.6

Good luck!


P
13pls answer and will mark brainliest​

Answers

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Identify the missing measures

Answers

Answer: The value of the question mark should be 28 Since Angles are vertically Opposite

Given that the measure of ∠x is 149°, and the measure of ∠y is 110°, find the measure of ∠z.

Answers

Answer:

∠z is 79°

Step-by-step explanation:

What is i86?
-i
-1
i
1

Answers

B. -i

I'm not sure abt it but that's the answer that showed up hope that helps

Answer:

-1

Step-by-step explanation:

I don't really understand how to do this if you could help please help asap, thank you

Answers

Answer:

C

Step-by-step explanation:

Just use elimination strategy

Find the value of x
7-10 plsss

Answers

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

What is Polygons?

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

Learn more about Polygons here :

https://brainly.com/question/27331337

#SPJ2

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

1st one

Step-by-step explanation:

because it is

Answer:

Option 1

Step-by-step explanation:

In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.

The second one is the first one reversed, so it's ordered from greatest to lowest.

The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.

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