Mr. Avogadro started with 5.14x1022 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 1021 atoms of Pa-234. What s the half life of Pa-234?

Answers

Answer 1

Answer:

The half life of Pa-234 is approximately 0.0701656609 days

Step-by-step explanation:

The formula for half life is calculated as:

t½ = t.In(2)/In(No/Nt)

Where:

t½ = Half life of the substance in days

t = Time elapsed in days

No = Beginning amount

Nt = End Amount

In the question,

t = Time elapsed = 10 days

No = Beginning amount = 5.14 × 10²²

Nt = End Amount = 6.43 × 10²¹

t½ = t.In(2)/In(No/Nt)

t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)

t½ = 6.9314718056/98.78723754

t½ = 0.0701656609 days

The half life of Pa-234 is approximately 0.0701656609 days


Related Questions

HELP SABRINA ;) ?!!!

Answers

Answer:

d) Vessels that are any length

Step-by-step explanation:

MSDs can be defined fully as Marine

Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.

It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.

There are three types of MSDs

a) Type I

b) Type II

c) Type III

Marine Sanitation Devices are classified into types based on

1) The length of the vessels in which that are installed on.

2. The method for treating or breaking down the waste materials in the devices.

In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.

This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.

These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.

Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?



No, because for the 12 months in the year not all of the dates are represented.
Yes, because it is possible to get 100 random values in a simulation.

Yes, because all possible dates of the month would be represented.

No, because for the 12 months in the year each date is not equally likely.

Answers

Answer:

D) "No, because for the 12 months in the year each date is not equally likely."

Step-by-step explanation:

For example, february does not have 31 days as well as april so it would not be a fair representation.

Which of the following are monomials?
A. x11
B. 8x
C.5/7y3+5y2+y
D. x2 + 3
E. x4 + x2 +1
F. 6x2 +1/2y3

Answers

Answer:

A. x^11 and B. 8x.

Step-by-step explanation:

A monomial is a polynomial with just one term. That would be Options A and B.

Options C and E are trinomials.

Options D and F are binomials.

Hope this helps!

Answer:

A and B

Step-by-step explanation:

What is the distance, in units, from J=(8,−9) to the x-axis?

Enter your answer as a number, like this: 42

Answers

Answer:

9

Step-by-step explanation:

The distance from the x axis is from the point (8,0)

d = sqrt( (8-8)^2 + (-9-0)^2)

   = sqrt(0+ 81)

   = sqrt( 81)

    =9

Answer:

8

Step-by-step explanation:

8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis

Hope this helps

solve the math problem please

Answers

Answer:

Option D

Step-by-step explanation:

Collect all like terms and Calculate

-10x-7x= -17x

20-54= -34

Divide

-17x < -34

x>2

Answer:

B 2 ≤x

Step-by-step explanation:

54 - 10x ≤20 +7x

Add 10x to each side

54 - 10x+ 10x ≤20 +7x+10x

54 ≤20 + 17x

Subtract 20 from each side

54-20 ≤20+17x-20

34 ≤17x

Divide by 17

34/17 ≤17x/17

2 ≤x

If 3 ice cream cones multiplied is equal to 27, 2 ice cream cones with one scoop of vanilla are equal to 10, 1 ice cream with 2 scoops of vanilla and 1 ice cream with one scoop of strawberry is equal to 11, 1 ice cream with one scoop of vanilla and 1 cone and 1 ice cream with 2 scoops of strawberry and one scoop of vanilla is equal to 15, then what is the value of.... 1 cone 1 vanilla scoop 1 strawberry scoop *Please Try To Give The Solution ASAP*

Answers

Answer:

each cone=3

each scoop of vanilla=2

each scoop of strawberry=1

so:

1 cone 1 vanilla scoop 1 strawberry scoop=6

when f(x)=-3 what is x​

Answers

Step-by-step explanation:

i think the answer is -3 only

Answer: The answer is -3 but I feel like the question is so wrong

Explain why no part of the graph[Image Displayed] appears below the x-axis?
[Graph Displayed]

a.
The y-value is always negative
c.
The y-value is always zero
b.
The y-value is always positive
d.
The y-value is always 10

Answers

Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!

Step-by-step explanation:

Convert the following equation
into slope intercept form.
8x +
2y = 0

Answers

8x + 2y = 0
Minus 8x on both sides
2y= -8x
Divided by 2 on both sides
Y= -4x
Final answer: y= -4x

Hope this helps!

Slope intercept form of the equation 8x+2y=0 is y= -4x

What is Slope intercept form?

Slope intercept form gives the graph of a straight line and is represented in the form of y=mx + c

Given,

8x+2y=0

2y =-8x

y=-4x

Hence, the Slope intercept form of the equation 8x+2y=0 is y= -4x

Learn more about Slope intercept form here

https://brainly.com/question/9682526

#SPJ2

what is 8 1/2 rounded to the nearest half? (HELP I NEED ANSWER NOW)

Answers

Answer:

8 1/2

Step-by-step explanation:

It is already rounded to the nearest half.

it would be 8 1/2 since it’s already a half but if not it’s 9

Please help me 4x-8=16

Answers

Answer:

6

Step-by-step explanation:

4x-8=16

4x=16+8

4x=24

x=24÷4

x=6

If f(x) =1/4x+14, then f^-1(x)=

Answers

Answer: f⁻¹(x)=4x-56

Step-by-step explanation:

f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.

[tex]x=\frac{1}{4}y+14[/tex]                 [subtract 14 on both sides]

[tex]x-14=\frac{1}{4}y[/tex]                 [multiply both sides by 4]

[tex]4(x-14)=y[/tex]               [distribute 4]

[tex]4x-56=y[/tex]

[tex]f^-^1(x)=4x-56[/tex]

Maths help again! It is much appreciated​

Answers

if there are 54 in total, and 32 are women, that means 22 are men, we get this by subtracting 32 from 54 (54-32).

then if 18 of the 41 are male, who are right handed, subtract 18 from 41  (41-18) to get 23. that means there are 23 right handed women.

then we do 32-23 to get 9, this is how many left handed women there are.

then we do 22-18 which is 4. there are 4 left handed males

Which of the following systems of equations is an example of one where substitution is the best method?

Answers

Answer:

option c is the correct ans .

because we can easily substitute the value of y in equn 2 to get value of x..

Answer:

To me, the third one is the best.

Note:  y has  been made subject of formula which makes it easy to substitute it into equation 2 and find x .

Step-by-step explanation:

PLZ HELP, NEED ASAP Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.

Answers

Answer:

Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

Krista's equation

0.40x+y=45

x+0.55y=18.75

The system of Equation should have been

x + y = 45 (1)

0.40x + 0.55y = 18.75 (2)

From (1)

x=45-y

Substitute x=45-y into (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

Substitute y=5 into (1)

x + y = 45

x+5=45

x=45-5

x=40

This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.

Krista's error:

Krista put 0.40 in the first equation meant for the number of stamps.

Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

              Edge 2020.

CANT seem to find the answer

Answers

Answer:

A) Point C

B) Point E

Step-by-step explanation:

There are 3 vowels in the word square, and there are six total letters in the word square.

Square

There is a half chance of picking a letter that is a vowel in the word "square". (Three is half of six.)  

Point C would be the most accurate spot for question 'a'.

The word square does not have a 'T'. It is certain that a letter that is not 'T' would be picked.

Point E would be the most accurate spot for question 'b'.

Answer:

a)  c  b) e

Step-by-step explanation:

There are 3 vowels out of 6 total cards, and c lands at 3/6->1/2.

There is no letter T, so it is a 1/1 chance of not getting a T. E lands at 1.

You're welcome.

How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?

Answers

Answer: 125

Step-by-step explanation:

For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.

The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:

Therefore, no of possible numbers are: 5x5x5x1=125 numbers

I'm a little confused with this question, please help.

Answers

Answer:

1152 minutes

Step-by-step explanation:

$104.64-24.00 = $ 80.64

80.64 ÷ 0.07 = 1152

Can someone please help me with this question

Answers

Answer:

x° = 62

Step-by-step explanation:

The vertical angle to 28 degrees is 28 degrees in size.

The vertical angle to 90 degrees is 90 degrees in size.

Angles in a circle add up to 360 degrees.

x + 28 + 152 + 28 + 90 = 360

x + 298 = 360

x = 360 - 298

x = 62

Angle x is 62 degrees in size.

Angle x is 62° in size

Identify the initial value and rate of change for the graph shown?

Answers

Answer:

The third option, or initial value:2, rate of change:1.

Step-by-step explanation:

The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.

Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.

let me know if your need further explanation!

Find the equation of the line

Answers

Answer:

y= 2x +12

Step-by-step explanation:

Given:

line y= 2x -7the point (-3. 6)

The line parallel to the given has the same slope of 2, let's find the intercept using the given point:

y= 2x+b6= 2*(-3)+bb= 6+6= 12

So the equation is:

y= 2x +12
y=2x+12

m=2
6=2(-3)+b
b=12
y=2x+12

the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?

Answers

Answer:

0.009 mm

Step-by-step explanation:

Find the difference between the two values.

0.03 - 0.021

0.009 mm more gold coating must be added to finish the ring.

What is the probability of selecting a male from a group of 4
males and 8 females?
1
A 1/3
B 1/2
С 2/3
D 4/5

Answers

Answer:

[tex]P(Male) = \frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]Male = 4[/tex]

[tex]Female = 8[/tex]

Required

Probability of selecting a male

First, we need to get the total population;

[tex]Total = Male + Female[/tex]

[tex]Total = 4 + 8[/tex]

[tex]Total = 12[/tex]

Let P(Male) represent Probability of Male

Let n(Male) represent number of Male

[tex]P(Male) = \frac{n(Male)}{Total}[/tex]

[tex]P(Male) = \frac{4}{12}[/tex]

Simplify fraction by dividing the numerator and denominator by 4

[tex]P(Male) = \frac{1}{3}[/tex]

Hence, the probability of selecting a male is 1/3

First person that gave me the correct answer will get brainliest

Which set of ratios could be used to determine if one triangle is a dilation of the other?

A. 3.6/3 = 5.4/4.5 = 6/5
B. 3.6/3 = 4.5/5.4 = 6/5
C. 3/3.6 = 4.5/6 = 5/5.4
D. 3/4.5 = 3.6/5.4 = 5/6

Answers

Answer:

Answer A

Step-by-step explanation:

Answer A is correct.  Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.

5. Write the following numbers in scientific notation (powers of 10) 3 067 020 ____________________________________________________ __________________________________________________________________ B) 19.507 __________________________________________________________ __________________________________________________________________

Answers

Answer:

3,067,020 = [tex]3.06702\,\,10^6[/tex]

19.507 = [tex]1.9507\,\,10[/tex]

Step-by-step explanation:

3,067,020 = [tex]3.06702\,\,10^6[/tex]

19.507 = [tex]1.9507\,\,10[/tex]

I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!! ​

Answers

Answer:

Answer A is the first step

Step-by-step explanation:

Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.

Pleaseee help meeeeeee!

Answers

Answer:

Irrational

Step-by-step explanation:

Irrational numbers have decimal expansions that neither terminate not repeatable

π = 3.1428.........

-4π =-12.5714..........

Answer:

D. Irrational

Step-by-step explanation:

First, let's calculate what -4π is.

-4π= -4*π= -12.5663706143....

Now, let's analyze the answer choices.

Whole numbers are the numbers 1,2,3,4,5...

Integers are like whole numbers, but negatives are also included.

Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.

Irrational numbers cannot be written as fractions, do not repeat and do not terminate.

-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.



8. In the diagram below, angle CAE = 39 °. Find the following
:) AOC
b) OBA​

Answers

Answer:

a) 78°

b) 39°

Step-by-step explanation:

In circle with center O, DE is tangent at point A and AC is chord (or secant if extended both sides).

Therefore by tangent secant theorem.

[tex] m\angle CAE = \frac{1}{2} \times m\widehat{(AC)} \\\\

\therefore 39\degree = \frac{1}{2} \times m\widehat{(AC)} \\\\

\therefore m\widehat{(AC)} = 39\degree\times 2\\

\red{\bold{\therefore m\widehat{(AC)} = 78\degree}}\\[/tex]

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

[tex] \therefore m\angle AOC = m\widehat{(AC)}\\

\huge \purple {\boxed {\therefore m\angle AOC = 78\degree}} \\[/tex]

Next, by inscribed angle theorem:

[tex] m\angle CBA = \frac{1}{2}\times m\widehat{(AC)}\\\\

\therefore m\angle CBA = \frac{1}{2}\times 78\degree \\\\

\therefore m\angle CBA =39\degree \\\\

\huge \orange{\boxed {\therefore m\angle OBA = 39\degree}}\\... (\because C-O-B) \\[/tex]

Can someone please explain to me how to solve for x?

Answers

Answer:

X is a missing number . Find the missing number then multiply for example that 8 to the x then what the x is it’s the same number for all

Step-by-step explanation:

i need help with #3 plzz answer asap​

Answers

Answer:

Step-by-step explanation:

The slope is increasing by one so your unit rate is 1/1 and your slope is 1

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