An isotope of cesium-137 has a half-life of 30 years. If 5.5 grams of cesium-137 disintigrates over a period of 105 years, how many grams of cesium-137 would remain? Round your answer to the thousandths place.

Answers

Answer 1

Answer:

0.484 g

Step-by-step explanation:

N/No = (1/2)^t/t1/2

No = mass of cesium-137 originally present

N= mass of cesium-137 at time t

t1/2= half life of cesium-137

t = time taken

N/5.5=(1/2)^105/30

N/5.5=(1/2)^3.5

N/5.5= 0.088

N = 5.5 *  0.088

N= 0.484 g


Related Questions

Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.

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Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

Find the equation of lines on graph

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that link is somethin else -

Please help I need the answer right now!!!
Find the perimeter of parallelogram ABCD with vertices A(-2,2) B(4,2) C(-6,-1) D(0,-1)

Answers

Answer:

I Believe it is A sorry if i`m wrong

Step-by-step explanation:

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Name a pair of linear pairs (Select all that apply).
1. ∠BAD and ∠JAD
2. ∠BFD and ∠CFE
3. ∠BGH and ∠DGE
4. ∠CFB and ∠CFG
5. ∠FDA and ∠FDE

Answers

The answer is 1, 4, and 5 because to be linear, they have to make up a straight line together.

Someone help please ASAP!!

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Answer:

9 years = 2626.76 so 2626 Martians

13 years = 1575.255 so 1575 Martians

Step-by-step explanation:

HELP HELP HELP PLS

What is the common denominator between 5/7 and 2/6?

What should the renamed numerators be? (Just type the numerator, not the entire fraction).

Answers

Answer:

21 is common denominator.

15 and 7 are the corresponding numberators.

Step-by-step explanation:

You multiply the 7 and 6, then apply to the fractions, and slowly reduce until you find a good match.

Answer:

30 and 14

Step-by-step explanation:

5/7 = times by 6 to get 30/42

2/6 = times by 7 to get 14/42

Help help asap please please please

Answers

Answer:

-54

Step-by-step explanation:

-378 ÷ 7 = -54

(-378 is the altitude)

(7 is the amount of minutes)

Hope this helps!!

Have a great day!!

4. 12 ___ -15 = 27
5. -18 ___ -¾ = 24

Answers

Answer:

4) 3.5

5) -1.375

Step-by-step explanation:

plug in x for the missing number and solve

Answer:  

4. 12 (3.5) -15 = 27

5. -18 (445.5) -¾ = 24

Step-by-step explanation:

4. 12? -15 = 27

         12? = 42

             ? = 3.5

5. -18? -¾ = 24

         -18? = 24 + 3/4

          -18? = 96/4 + 3/4

         -18? = 99/4

              ? =  891/2  or 445.5

solve for x
4x=8
help please ​

Answers

Answer:

The correct answer is =32x

Answer:

x = 2

Step-by-step explanation:

[tex]4x = 8[/tex]

Lets divide both the sides by 4.

[tex]=> \frac{4x}{4} = \frac{8}{4}[/tex]

[tex]=> x = 2[/tex]

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

Answers

See picture hope it helps

Answer:

Step-by-step explanation:

Distance = √[(-7-5)² + (-7-9)²]

= √[144 + 256]

= √400

= 20

Plz help
What decimal number is equivalent to 42%?

Answers

.42 because it would be 42/100

the decimal of 42% is equal to 0,42

find the missing angle measures of the following figure ​

Answers

Answer:

1 = 68

2 = 68

3 = 125

Step-by-step explanation:

Hey there!

To find angle 1 all we have to do is subtract the given angles from 180 because remember all of the angles in a triangle add up to 180

180-73-39=68

1=68

angle 2 is vertical to angle 1 therefore they are congruent angles so

2 also equals 68

So we know that the interior angles in a 4 sided shape add up to equal 360

so to find 3 we subtract the given angles from 360

360-90-77-68=125

so 3 = 125

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

[tex]\frac{1}{9} + p = 1[/tex]

[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

Tucker worked 5.5 hours on Saturday. He earns $7.20 per hour.
How much did he earn on Saturday?

Answers

Answer:

$39.6

Step-by-step explanation:

5.5 times 7.20 = $39.6

FIND ANGLE OF DEPRESSION. PLS HELP. AND ANSWER IF YOU FOR REAL KNOW HOW TO ANSWER THIS. WILL MARK U A BRAINLEST IF ITS RIGHT

Answers

62,1819

dawrygczjkkbvdfjj
:D

The student council has $800 to spend on homecoming t-shirts. The number of t-shirts they can buy is a function of the price of the price of the t-shirt p, in dollars, given by n(p)= 800 over p. As p gets larger and larger, what does the end behavior of the function tell you about the situation? *

Answers

Answer:

n will get lower and lower

Step-by-step explanation:

In this equation the number of shirts is being multiplied by the price of each individual shirt and ultimately equals a total of $800. This means that the total must always be equal to $800 and cannot surpass it or be blow this value. Therefore, if the value of p gets larger and larger the less the number of shirts (n) that the students will be able to buy. This is the only way for the total cost to remain steady.

estimate the product by first rounding each number to the underlined place value and then multiplying 4.35×38

Answers

Okay so I rounded 4.35 to 4.4 and then multiplied 4.4 by 38 and got 167.2

Marco is in elementary school. His father is 30 years older than Marco, and his mother is 4 years younger than his father. The ages of Marco, his mother, and his father are all prime numbers. What are their ages?
If u answer this is will give brainlest because today i got my report card!!!1 the first person who answers is the lucky duck!!!!!!

Answers

Answer:

marco is 11

dad is 41

mom is 37

Step-by-step explanation:

gg ez

Show that the credit card number
4306 0912 4887 1457 is valid/invalid.
Explain how you know.

Answers

Step 1a. For a card number with an even number of digits (e.g., Visa or MasterCard), double alternating digits starting with the first digit in the sequence.
Step 1b. For a card with an odd number of digits (e.g., American Express), double alternating digits starting with the second digit in the sequence.
Step 2. If the doubling resulted in a number with two digits, add them together to get a single digit number
Step 3. Now go back to the original credit number and replace the digits that you doubled with the new value — either the doubled value, or the doubled value with the digits added together — and add it all up.
Step 4. Check to see if the sum is evenly divisible by 10 (you can simply look to see whether or not it ends with a zero).
If the card number does not pass this check, then it is not a valid number. If, on the other hand, it does pass, then it may be a valid number with valid credit report.

HELP WHATS THE SCALE FACTOR FOR THIS

Answers

Answer:1.25

Step-by-step explanation:

Answer:

4:5 (with regards to small:big polygon)

Step-by-step explanation:

12:15 = 4:5

In AJKL, the measure of L=90°, LJ = 2.8 feet, and JK = 9.3 feet. Find the measure
of ZJ to the nearest tenth of a degree.

Answers

Answer:72.5

Step-by-step explanation:

Help me with this!!!!

Answers

Well the half point of 427 and 428 is 427.5 so 427.5.

It is between 427 and 428 and the middle of that is 427.5 so that’s your answer

A music store bought a CD set at a cost of ​$.10 When the store sold the CD​ set, the percent markup was ​%20. Find the selling price.

Answers

Answer:

$12

Step-by-step explanation:

$10 is   100% of the price

 The selling price is 120% of the price

x= selling price

10 -------------100%

x ----------------120 %

Cross multiplication

10x120 = 100x

1200 = 100x

Divide both sides by 100

12 = x

 Selling  price = $12

You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?

Answers

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

Explain how you would use the Distributive Property to simplify the following expression: 4(c + 8) when c = 2

Answers

Answer:

40

Simplified equation:

8+32

Step-by-step explanation:

4(2+8)

   x4

8+32

40

Beginning with the equation 2x + 8y = 12, write an additional equation that would create:
a system with no solutions

Answers

Answer:

[see below]

Step-by-step explanation:

A system of equations with no solution would show parallel  lines. We just have make a equation that is parallel to the original equation.

The slope of 2x + 8y = 12 is [tex]-\frac{1}{4}[/tex], and it's y-intercept is [tex]\frac{3}{2}[/tex].

Since parallel lines have the same slope but not the same y-intercept, I would use [tex]y=-\frac{1}{4}x+3[/tex].

Any equation that has -1/4 as the slope would work.  

When graphed together, they show as a system with no solution.

Hope this helps.

What is pi (3.14159265) to the force of pi?

Answers

It is =3.14159265359 :)

EFG is similar to JKL and JKL is similar to QRS which statement is true

Answers

Please give more detail to your question I don’t have enough information to work with anything!!! :(

Answer: B EFG is similar to QRS.

Step-by-step explanation: Not hard, JKL is similar to QRS and EFG is similar to JKL so?

In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week, he deposited $50 into his savings account. B A football team gained 4 yards on one play and lost 2 yards on the next play. C The temperature at 10 pm was 6°C. Over the next 3 hours, the temperature decreased by 2°C each hour. D Marci spends $8 to make a necklace and earns $8 from each bracelet sold. On Saturday, she made 5 necklaces and sold 10 bracelets.

Answers

C. The temp at 10pm was 6°C. Over the next 3 hours, the temp dropped 2°C/hr.

6 -2(3) = 0
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