Element X is a radioactive isotope such that every 51 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7500 grams, how long would it be until the mass of the sample reached 6900 grams, to the nearest tenth of a year?

Answers

Answer 1

Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]51=\frac{0.69}{k}[/tex]

[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]

b) for  7500 g to reach to 6900 g

[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]

[tex]t=6years[/tex]

It will take 6 years for 7500 grams of X to reach 6900 grams.


Related Questions

I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction

Answers

Answer:

Acceleration equals zero because of constant velocity

[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

Pls help me with this problem

Answers

Answer:

when adding 3

6+3=9

when subtracting 2

9-2=7

7,8,9,10,11,12,13,

assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20

Answers

Answer:

8267

Step-by-step explanation

Solve.
-2 1/3 - (-5)

Answers

Answer:

2.66666666667

Step-by-step explanation:

Answer: fraction: 8/3

Step-by-step explanation: mixed number: 2 2/3

Consider the inequality x> 7.

Answers

Answer:

x is greater than 7, so x can be 8 or more.

Answer:

if x is greater than seven it would be 8 or more can't be 7 because its not >

Step-by-step explanation:

How do I do this please help me

Answers

Answer: I think it might be (0,8)

Step-by-step explanation:

write an equivalent expression for 8x + 9

Answers

Answer:

8+8+8+8+8+8+8+8+8.

Step-by-step explanation:

Just add 8 nine times.

Answer:

9 + 8x

Step-by-step explanation:

it's the same but backwards

it's called a Palindrome

Hope this helped a little!

The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17

Answers

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

Which table represents the statement a draft friends at a rate of 32 mph

Answers

Answer:

A.

Step-by-step explanation:

Answer: it is the first choice

Find the slope of the line -x = -3y + 9

Answers

Answer:

m= 1/3

Step-by-step explanation:

The slope would be M= 1/3

Which of the following is the slope of the line that passes through the points
(-3, 5) and (1,15) ?
a) 5
b) -3
C)7/3
D)5/2

Answers

Answer is 5/2 i took that quiz too

Which graph represents a function

Answers

Answer:

The top left.

Step-by-step explanation:

You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.

Question is in picture below ​

Answers

Answer:

[tex] \frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}[/tex]

A. is the right answer.

hope this helps.

Fun fact
are Bananas are curved because they grow towards the sun ☀️
2
true or false

Answers

Answer:

true

Step-by-step explanation:

As bananas grow, the fruits start to become heavy and begin sinking towards the ground. However, fruits naturally seek the sun which means that as they mature, they start to curve upward in search of the sun’s rays. This is because bananas contain a chemical called auxin, a plant hormone that affects how the plant responds to sunlight.

Answer:

That's True

Step-by-step explanation:

Help!!”A 41-foot rope is stretched from the top of a 40-foot flagpole to the ground. How far is the base of the flagpole from the end of the rope.”

Answers

Answer:

9 feet away

Step-by-step explanation:

40²+b²=41²

1600+b²=1681

b²=81

b=9

The base of the flagpole from the end of the rope is 9 feet.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Hypotenuse = 41 foot

Base = x

Height = 40 foot

Applying the Pythagorean theorem.

41² = x² + 40²

1681 = x² + 1600

x² = 1681 - 1600

x² = 81

x = 9

Thus,

The base of the flagpole from the end of the rope is 9 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

What is the value of the expression

3c^2-5d + 8 c= 5 and d= 4

Answers

Answer:

I believe that the answer is 213

Step-by-step explanation:

A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number of vowels and the number of consonants after 50 draws. Predict the number of vowels in the bag.

This is what the table says:

Vowels Consonants
18 32

Answers

Answer:

38

Step-by-step explanation:

thats the answer

What is c? 1/3c = 3/8;c=3/4

Answers

Answer:16

Step-by-step explanation:

U just mu

work out the difference between 77.5 and 2.27​

Answers

77.5-2.27 is equal to 75.23

hope it helps

The difference of our given numbers between 77.5 and 2.27​ is 75.23.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are asked to find the difference between  77.5 and 2.27​

Upon converting our given problem as a subtraction problem, we will get:

77.5

-   2.27

Upon subtracting our given numbers, we will get;

77.5

-   2.27

75.23

Therefore, the difference of our given numbers between 77.5 and 2.27​ is 75.23.

Learn more about difference here:

https://brainly.com/question/11353501

#SPJ2

What mistake did Francisca make?
1 point
Francisca is asked to solve the
following equation, Francisca's
work is shown below.
3.5 = ** - 1.5
3.5 = {* - 1,5
+1.5 + 1.5
5 = ***
---
It 풍
Francisca was supposed to add the 1/3, instead of subtracting by 1/3
Francisca was supposed to multiply by 3/1, instead of subtracting by 1/3
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3

Answers

Answer:

Francisca was supposed to divide by 1/3, instead of subtracting by 1/3.

Step-by-step explanation:

She was completing the equation correctly until she subtracted 1/3 instead of dividing both sides. It should have been 5 divided by 1/3 or 15/3 divided by 1/3.

I hope this helps!

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.

Answers

Answer:

[tex]A=0.0192[/tex]

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]

[tex]A=R*H[/tex]

Therefore

[tex]A=\frac{0.12}{2} *0.32[/tex]

[tex]A=0.06 *0.32[/tex]

[tex]A=0.0192[/tex]

please help i need to raise my grade

Answers

Answer:

use brainly

Step-by-step explanation:

Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices

F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.

G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..

H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.

J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..

Answers

Answer:

H:  It will stretch the same spring 1,840 cm because the equation is y equals 5x.

Step-by-step explanation:

800=y

160and368=x

You find the answer by dividing,

⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈

800 divided by 160 equals 5 which means the equation is y equals 5x

and 368x5=1,840

also, do you go to college park?

Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?

A. 3
B. 9/12
C. 2 1/4
D. 4

Answers

Answer:B.9/12

Step-by-step explanation:

Answer:

2 1/4 cups

Step-by-step explanation:

3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:

3/4 x 3 = 9/4

9/4 = 2 1/4 or 2.25

So, Carlos needs 2 1/4 cups of sugar for 3 cakes

What number is 40% of 160?

Try to explain

Answers

Answer: 64

Step-by-step explanation:

40% of 160

40/100 x 160

6400/100

64

Did I explain this well?

Answer: 64

Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.

Plz help and I will give brainliest

A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.


If you put anything random as the answer I WILL report

Answers

Answer:

200 dollars

Step-by-step explanation:

Answer:

$200.

Step-by-step explanation:

$200 because if they save $120 then $80, $200.

(120+80=200.)

Hope this helps plz hit the crown :D

sorrry for not answering earlier

please help quick time

Answers

Answer:

[tex]Area = 34.2cm^2[/tex]

Step-by-step explanation:

Let the three sides be a, b and c respectively.

Such that:

[tex]a = 8[/tex]

[tex]b = 9[/tex]

[tex]c= 10[/tex]

Required

Determine the area

This is calculated as:

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

Where

[tex]s = \frac{1}{2}(a + b + c)[/tex]

Substitute values for a, b and c

[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]

[tex]s = \frac{1}{2}(27)[/tex]

[tex]s = 13.5[/tex]

Substitute values for a, b, c and s in

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]

[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]

[tex]Area = \sqrt{1169.4375[/tex]

[tex]Area = 34.2[/tex] -- Approximated

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Answers

Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

7/2x + 1/2x = 10 + 9/2x

Answers

Answer:

x=-1/20

Step-by-step explanation:

7/2x+1/2x=10+9/2x

We move all terms to the left:

7/2x+1/2x-(10+9/2x)=0

Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/2x+1/2x-(9/2x+10)=0

We get rid of parentheses

7/2x+1/2x-9/2x-10=0

We multiply all the terms by the denominator

-10*2x+7+1-9=0

We add all the numbers together, and all the variables

-10*2x-1=0

Wy multiply elements

-20x-1=0

We move all terms containing x to the left, all other terms to the right

-20x=1

x=1/-20

x=-1/20

Answer:

[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]

Solve: (4hj)^0
A. 0
B. 4h^1j^1
C. 4
D. 1

Answers

Answer:

Any number powered to zero, the answer to the equation will be 1

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