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HACTEHA [7]
1 year ago
6

The half-life of gold-195m is approximately 30.5 seconds.

Mathematics
1 answer:
SCORPION-xisa [38]1 year ago
6 0

The amount of the 12 grams sample of gold-195m having a half-life of 30.5 s that would remain after 41 s is 4.726 g

<h3>How to determine the number of half-lives </h3>
  • Half-life (t½) = 30.5 s
  • Time (t) = 41 s
  • Number of half-lives (n) =?

n = t / t½

n = 41 / 30.5

n = 82/61

<h3>How to determine the amount remaining </h3>
  • Original amount (N₀) = 12 g
  • Number of half-lives (n) = 82/61
  • Amount remaining (N) =?

N = N₀ / 2ⁿ

N = 12 / 2^(82/61)

N = 4.726 g

Learn more about half life:

brainly.com/question/26374513

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A starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with proba
GuDViN [60]

Answer:

0.095163

Step-by-step explanation:

given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999

Here we find that for any start, there are exactly two outcomes either success or failure.

Also each start is independent of the other since p = 0.99999 for succss is given constant.

Thus X no of successes is binomial with p = 0.99999 and n =10000

If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000

Required probability

= the probability of at least one failure in the next 10,000 starts

= 1-P(no failure in 10000 starts)

=1-(0.99999)^{10000} \\=0.095163

4 0
3 years ago
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0
2 years ago
Describe the error in the work shown. 62​ + 3 + 5 x 2 ​ ​ 36 + 8 x 2 ​36 + 16 52
makkiz [27]

Answer:

There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.

Step-by-step explanation:

There is an error in the implication of the DMAS rule of Mathematics.

DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.

The DMAS Rules describes the following arrangement of the mathematical functions.

1st Division

2nd Multiplication

3rd Addition

4th Subtraction

Applying the above rule the solution is as follow

62​ + 3 + 5 x 2 ​ ​

First, we need to solve the Multiplication because there is no division

62​ + 3 + 10

Now perform the addition function

65 + 10

75

6 0
2 years ago
Which graph represents the compound inequality?
Viefleur [7K]

Yo sup??

Given inequality

-3 < n <1

since -3 and 1 isn't included therefore we have to see the option having open circle....he one which isn't filled

therefore the answer is option D

Hope this helps.

8 0
3 years ago
Which of the following is the correct graph of the linear equation below?<br> 4+2<br> 2-3x+1
e-lub [12.9K]

Answer:

okay lets start with 3 times 1, 3 times 1 is 3-2=1+6=7 your answer is 7

Step-by-step explanation:

3 0
2 years ago
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