Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?

Answers

Answer 1

Answer:

85.5 minutes

Step-by-step explanation:

The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;

Nt = N0 × e^(-λt)

Where;

Decay constant λ = ln(2)/th, substituting into the equation;

Nt = N0 × e^(-ln(2)t/th)

We need to make t the subject of formula;

Nt/N0 = e^(-ln(2)t/th)

ln(Nt/N0) = -ln(2)t/th

t = ln(Nt/N0) ÷ -ln(2)/th

Given;

Initial amount N0 = 760g

Final amount Nt = 11 g

Half life th = 14 minutes

the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;

t = ln(Nt/N0) ÷ -ln(2)/th

Substituting the given values;

t = ln(11/760) ÷ -ln(2)/14

t = 85.5 minutes


Related Questions

What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0

RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81

Answers

Answer:

is C=64

Step-by-step explanation:

Answer:

c=64

Step-by-step explanation:

I took the test

A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?

Answers

Answer:

11.76

Step-by-step explanation:

We are given that,

Total number of students = 340

Students that prefer cheese pizza = 40

Students that prefer pepperoni pizza = 28

Thus, we get that,

The proportion of students that prefers cheese pizza =

i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%

Hence, 11.76% of the students prefer cheese pizza.

Jack wants to buy 30 chocolate chip cookies that are $1.25 each. If sales tax is 7.5%. What will Jack’s total bill be?

Answers

Answer:

which will be about $2.81

Step-by-step explanation:

30 times 1.25 = 37.50

then multiply that by 7.5%

i may be wrong. i am sorry if i am worong

Answer:

$318.75

Step-by-step explanation:

30 cookies x $1.25 = $37.5

37.5 x 7.5% tax = 281.25

37.5 + 281.25 = 318.75

Please help me find the volume of the triangular prism and the area of the hexagon.

Answers

Step by step it’s -7

un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului. ​

Answers

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

Will give brainliest answer

Answers

Answer:

[tex]31.5units^2[/tex]

Step-by-step explanation:

The shape shown above can be split into 2 triangles and 1 rectangle.

The formula for a triangle:

[tex]A=\frac{1}{2} bh[/tex]

The formula for a rectangle:

[tex]A=lw[/tex]

Area of triangle (both have the same lengths so you can just double the area):

[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]

Area of rectangle:

[tex]A=(7)(3)\\A=21[/tex]

Add the individual areas together to get the overall:

5.25 + 5.25 + 21 = 31.5

what do I do if thre are 2 middles in a mean

Answers

You add them together and divide that sum by 2

Answer:

If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.

Mark as brainliest please I need a few more :D

there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!

Answers

Step-by-step explanation:

Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!

Answer: Your eyelids are doing it’s thing.

Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.

Miguel reads about a sea turtle and a manatee. The sea turtle is 3 feet long. The manatee is 4feet times as long as the sea turtle. How long is the manatee??

Answers

The manatee is 12 ft long

Answer:

12 4x3=12

Step-by-step explanation:

hi friends Mavis here

Answers

Answer:

Hi friend

Step-by-step explanation:

which part of transilvania do u like the best

Which set of numbers is in order from greatest to least?
o 13,823; 13,328; 13,238; 12,328

13,238; 13,328; 13,823; 12,328

O 13,823; 13,238; 13,328; 12,328

O 12,328:13,238; 13,328; 13,823

Answers

Answer:

A. 13,823; 13,328; 13,238; 12,328

Step-by-step explanation:

please help me

f(x) =3x^2 + 2x - 1
what is f(5)

Answers

Answer:

17

Step-by-step explanation:

f(5)=3(5)+2. f(5)=17

Answer:

f(5) = 84

Step-by-step explanation:

f(x) =3x^2 + 2x - 1

what is f(5)

f(5) = 3(5)² + 2(5) - 1

f(5) = 75 + 10 - 1

f(5) = 84

3. Herald is keeping track of eagles. To do so,
he put tags on 25 eagles and released them.
Later, he catches 120 eagles; 16 eagles were
tagged. Find the best estimate for the Eagle
population?​

Answers

Answer:

the population is around 150-200 if im correct

Answer:

188 eagles

Step-by-step explanation

I would set a proportion for eagles

16/120 = 25/x

Which would equal

16x/16 = 3000/16

Which equals

187.50 which rounds to 188

The answer is 188 eagles  

What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3

Answers

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

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In ABC, A is a right angle. And B = 45 degrees. What is the length of BC
A) 54ft
B) 17√ 3ft
C) 17√ 2ft
D) 17ft

Answers

The answer would be C

Given that this is an isosceles triangle (triangle with two congruent sides) and is 45 degrees on both sides then this would be considered a 45-45-90 triangle

The rule for this type of triangle is that going from a congruent side (for example segment AC) to BC would result in your multiply by the square root of 2.

Multiplying square roots and whole numbers are fairly easy, just combine it like multiply with a variable. Since the rule for a 45-45-90 triangle is to multiply the side length by the square root of 2 to get the hypotenuse then you would multiply 17 by the square root of 2 which will give you answer choice C.

If you encounter a similar problem like this but with the hypotenuse to the side length then you would do the OPPOSITE of multiplying by the square root of 2 (which would be dividing the hypotenuse by the square root of 2).

Which expression can be used to find the surface area of the following rectangular prism?
A.15+15+10+10+6+6
B.10+6
C.10+10+6+6
D.15+15+10+10+6

Answers

A is the right answer

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is
equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find
the probability that a sequence will contain exactly one 0.

A. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 7/8

B. 001, 011, 101, 111; the probability is 2/8

C. 000, 010, 011, 101, 111, the probability is 2/8

D. 000, 001, 010, 011, 100, 101, 110, 111, the probability is 3/8​

Answers

Answer:

A

Step-by-step explanation:

on edge2021

The probability that a sequence will contain exactly one zero is true in options {B}, {C} and {D}.

We can write the formula for probability as -

P{Event} = (no. of favorable outcomes)/(Total no. of favorable outcomes)

For the sequence {A} -

000, 001, 010, 011, 100, 101, 110, 111

P{one zero} ≠ 7/8

For the sequence {B} -

001, 011, 101, 111

P{one zero} = 7/8

For the sequence {C} -

000, 010, 011, 101, 111

P{one zero} = 2/8

For the sequence {C} -

000, 001, 010, 011, 100, 101, 110, 111

P{one zero} = 3/8

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J’ai besoin d’aide pour cette question.
Je vais mettre branliest.

7. Complète le tableau suivant.
A) Un politicien répond à 20 questions en 15 minutes. Il faut le mettre en table de valeurs et en graphique.

Answers

Answer:

tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique

Step-by-step explanation:

J'utilise google translate pour vous aider, IDK

Your teacher is giving away candy from a bag. The bag contains 5 Reese's Peanut
Butter Cups, 4 Snickers, 3 Sour Patch, & 6 Skittles. Find the probability that you and
your friend choose Snickers. Find P(Snickers n Snickers).

Answers

Answer:

P(Snickers n Snickers)  = [tex]\frac{2}{51}[/tex]

Step-by-step explanation:

Given

Bag of candy

5 Reese's Peanut Butter Cups,

4 Snickers

3 Sour Patch

6 Skittles

Required

Calculate P(Snickers n Snickers)

To solve this question, it'll be assumed that you and your friend selected snickers at a consecutive time.

First, we need to calculate the total number of candy

Total = 5 + 4 + 3 + 6

Total = 18 candies

P(Snickers n Snickers) means P(Snickers and Snickers);

i.e. the probability of selecting snicker twice

Number of snickers = 4;

So, the probability of you selecting a snicker first is [tex]\frac{4}{18}[/tex]

This is gotten by dividing number of snickers by total candies.

At this point, there are 4 - 1 snickers left and there are 18 - 1 candies left;

So, the probability of your friend selecting a snicker is [tex]\frac{4 - 1}{18 - 1}[/tex].

So, P(Snickers n Snickers)  = [tex]\frac{4}{18}[/tex] * [tex]\frac{4 - 1}{18 - 1}[/tex]

P(Snickers n Snickers)  = [tex]\frac{4}{18}[/tex] * [tex]\frac{3}{17}[/tex]

P(Snickers n Snickers)  = [tex]\frac{2}{9}[/tex] * [tex]\frac{3}{17}[/tex]

P(Snickers n Snickers)  = [tex]\frac{2}{3}[/tex] * [tex]\frac{1}{17}[/tex]

P(Snickers n Snickers)  = [tex]\frac{2}{51}[/tex]

Hence, the probability of you and your friend choosing snickers is [tex]\frac{2}{51}[/tex]

which equation represents the relationship between x and y shown in the table ?

Answers

the very first one (the very left one)

The equation that represents the relationship between x and y shown in the table is; y= 2x-3

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.  the equations that can be solved to get a unique solution. the power of the equation must be in one degree.

First we need to find the slope we will use rise over run to get 2.

The correct equation will replace x with any of the x values in the chart and if we get the same y values as the chart then that equation is correct.

y= 2x-3

If x = 2 and y = 1

Then

y= 2x-3

1 = 2(2)-3

1= 1

Therefore, The equation that represents the relationship between x and y shown in the table is; y= 2x-3

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which of the following as the same value as 2^3 a. 5 b. 6 c. 8 d. 23 f. none of the above

Answers

Answer:

8

Step-by-step explanation:

2 x 2 = 4 x 2 = 8

How do u do this plz help

Answers

Answer:

point C

Step-by-step explanation:

Due to client growth, Dr. Smith must increase his amount of kennel space from
11 kennels to 25 kennels. How many kennels will Dr. Smith need to add to the
clinic?​

Answers

Answer:

14

Step-by-step explanation:

25-11 = 14

A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?

Answers

You’ll need 30,000 honey bees

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

What is the value of this expression when b=5?
6(2b - 4)
Answers:36
12
20
56

Answers

You substitute 5 for b

6(2(5)-4)
6(10-4)
6(6)
36

Answer:

36

Step-by-step explanation:

6 (2b - 4)

6 (2(5) - 4)

6 (10 - 4)

60 - 24 = 36

I need help with this can you explain how to do this so I can understand please ASAP!!

Answers

Answer: 1.64     2.100

Step-by-step explanation:

The reason for this is squaring something is simply mulyiplying the number by itself. for example

8 squared

there is a 2 above the 8 which means we will do 8x8.

8x8= 64

Hope this helps!!!!

What is the probability of picking a blue balloon if there are 3 blue balloons,
1 red balloon, and 1 yellow balloon?

Answers

Answer:

3/5

Step-by-step explanation:

3/5 is the probability because there are 5 balloons. And there's 3 out of those 5.

Answer:

3/4

Step-by-step explanation:

What is the common difference between the terms in this arithmetic sequence? 8,15,22,29,36..

Answers

Answer:

7

Step-by-step explanation:

just subtract 7 from largest number down to smaller numbers to notice the pattern. :)

Helppppp

Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 18 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 29 pieces of the fabric?

Answers

Answer:

Leia can cut 108 patches from 27 pieces of fabric.

Step-by-step explanation:

a plumber works $22 per hour. the hourly rate increases 3% each year. a. write a function the represents the plumbers hourly rate after t years b. what is the plumbers hourly rate after 8 years.

Answers

Answer:

Step-by-step explanation:

Assuming t = two years

3% of $22.00 = .66

step-by-step

3 percent *22.00 =

(3:100)*22.00 =

(3*22.00):100 =

66:100 = 0.66

A) .66x2 = 1.32 + 22.00 = 23.32

after 2 years the plumber will make $23.32 per hour

B) .66x8 = 5.28 = 22.00 = 27.28

after 8 years the plumber will make $27.28 per hour

The required hourly rate for a plumber after 8 years will be $27.86 per hour.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
As mentioned in the question, a plumber works for $22 per hour. the hourly rate increases by 3% each year.
Let y be the hourly rate of the plumber after t years,
[tex]y = 22 [1 + 0.03]^t\\y = 22[1.03]t[/tex]

Put t = 8

[tex]y = 22 [1.03]^8\\y = 27.86[/tex]

Thus, the required hourly rate for a plumber after 8 years will be $27.86 per hour.

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