A certain radioactive substance decays from 100000 grams to 1000 grams in 34 days. What's it's half-life ?

Answers

Answer 1

Answer:

Half life of the radioactive element is 5 days.

Step-by-step explanation:

Formula to get the final amount after the radioactive decay in 't' days,

[tex]A_t=A_0e^{-\lambda t}[/tex]

Here [tex]A_0[/tex] = Initial amount

λ = Decay constant

t = duration of decay

[tex]A_t[/tex] = Final amount

[tex]1000=100000e^{-\lambda(34)}[/tex]

0.01 = [tex]e^{-34\lambda}[/tex]

ln(0.01) = [tex]\text{ln}(-e^{34\lambda}})[/tex]

-4.6052 = -34λ

λ = 0.13544

Since, λ = [tex]\frac{\text{ln}(2)}{t_{\frac{1}{2}}}[/tex]

[tex]t_{\frac{1}{2}}=\frac{\text{ln}2}{0.13544}[/tex]

    = 5.11

    ≈ 5 days

Therefore, half life of the radioactive element is 5 days.


Related Questions

What’s all the prime numbers between 20 and 40

Answers

Answer:

Step-by-step explanation:

23, 29, 31, 37.

:))

Step-by-step explanation:

All the prime numbers between 20 and 40 are ⤵

23, 29, 31 , 37

Hope it will help :)

answer this i will give you brainliest 50 points

Answers

Answer:

Step-by-step explanation:

Answer:

it says 22 points not 50 so im not answering correctly

Step-by-step explanation:

sorry but that's how the cookie crumbles

When you are born, your parents deposited $500 into a simple interest account that
earns 2.5% annually. How much money would be in the account, for you, when you
turn 30 years old?

Answers

Answer:

$575

Step-by-step explanation:

2.5 x 30 + 500

Whiskers the cat weighs 2 and 2/3 kg. Piglio weighs 4 kg.

How many times as heavy as Whiskers is Piglio?

Answers

Answer:

1 1/2kg

Step-by-step explanation:

So we have to do the inverse operation thing, so our equation is:

4 ÷ 2 2/3 = 1 1/2

So Whiskers is 1 1/2 times as heavy as Piglio

Answer:

Whiskers is two-third times as heavy as piglio is

Step-by-step explanation:

Nathan biked 54 miles in 4.5 hours what was Nathan average speed in miles per hour what is 54 divided by 4.5​

Answers

Answer:

This means that Nathan's average speed was 12 miles per hour.

Step-by-step explanation:

54 divided by 4.5 is 12

In which table is Y a nonlinear function of X? Please help.

Answers

C is not a linear function

A retired math teacher takes his grandson shopping. He tells his grandson that they can spend x
dollars and x - 72.6 = 11. What operation does the grandson need to use to find how much money
they can spend?

Answers

Answer:

Addition, 83.6

Step-by-step explanation:

x - 72.6 = 11, x = 83.6

The grandson must add 72.6 to both sides to solve for x.

Must Buy Electronics has a storage room that is 18 ft long, 14 ft wide and 8 ft high. The store
is going to put their over stock of flat screens in this room. The flat screens come in boxes that
are 6 ft long, 2 ft wide and 4 ft high. How many flat screen boxes can can they store

Answers

Answer:

18 X 14 X 8 = 2016 cubic ft

6 X 2 X 4 = 48 cubic ft

2016/48 = 42

they can store 42 boxes

8. The cost of a fleece blanket is $26, and it sells for $50. Find the percent of markup on cost and selling price.
O A 48% markup on cost is equivalent to a 92% markup on selling price.
An 81% markup on cost is equivalent to a 19% markup on selling price.
A 52% markup on cost is equivalent to a 19% markup on selling price.
A 92% markup on cost is equivalent to a 48% markup on selling price.

Answers

Answer:

A 52% markup on cost is equivalent to a 19% markup on selling price.

Step-by-step explanation:

the second one is the correct answer! B.

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.

Answers

Answer:

x=7

Step-by-step explanation:

(160+3x)=(195-2x)

Please help. I need help with 3 questions! -3-||

1. Reese bought 3 tickets for $75. At this rate, how much did she pay per ticket?

2. A china shop receives a shipment of 140 dishes in 5 boxes. At this rate, how many dishes will it receive per box?

3. There are 210 students in the 10 classes of East Middle School. At this rate, how many students are in each class?

Answers

Answer:

question 1: 25

question 2: 28

question 3: 21

Step-by-step explanation:

hope this helps!

have a great day!

Answer:

1.Zapłaciła 25 dolarów.

2.28

3.21

Step-by-step explanation:

Box A contained 1.67 kilograms of flour. Box B contained 8.6 kilograms of flour. Mr. Smith used all the flour from both boxes to bake some cakes. How much flour did he use in all?

Answers

Answer:

Mr. Smith used 10.27 kilograms of flour in total.

Step-by-step explanation:

Graph this system of equations on the coordinate plane:
y = 4/3x + 4
3y = -2x - 6

Answers

Answer:

(here is the graph from Desmos)

Step-by-step explanation:

The graph is plotted and attached with the answer.

What is System of Equation?

The system of equation is set of equations which have a common solution.

The system of equation is

y = 4/3x + 4

3y = -2x - 6

On graphing the system of equations, the solutions can be obtained.

The graphs are plotted and attached.

The solution of the system of equation is ( -3,0).

To know more about System of Equations

https://brainly.com/question/12895249

#SPJ5

What is the radius of this button

Answers

i’m pretty sure it’s 14
Explanation: if the diameter of the circle is 28, divide that by 2 to get the radius which equals 14. the answer is 14

What is the least common multiple of the two denominators?
6/8, 4/32

Answers

Answer:

8

Step-by-step explanation:

6/8 and 4/32

Simplify each fraction

6/8

Divide the top and bottom by 2

= 3/4

4/32

Divide the top and bottom by 4

= 1/8

We have 3/4 and 1/8

Bot 4 and 8 go into 8

I Hope This Helps :)

Answer:

8

Step-by-step explanation:

The LCM is 2x2x2=8 2 x 2 x 2 = 8

What is the equation of this trend line? Please help ASAP!​

Answers

8+2x is the answer to to this thanks so much

Answer:8+2x

Step-by-step explanation:

HI Please try to answer it and reply below: Find the cost of fencing a square park of side 125m at a rate of Rs. 15 per meter Please comment on the answer to this question below Also Please send me friend requests Thanks Regards Super Cool Indian

Answers

Answer: Rs7500

Step-by-step explanation:

First and foremost, we should realise that a square has 4 sides. Therefore, the total sides of the square will be:

= 125m × 4

= 500m

Since the rate is Rs15 per meter, then the cost of the fencing will be:

= 500 × Rs15

= Rs7500

Drake bought a shirt that originally cost $40 at a 30% discount. How much discount did he get from the original cost of the shirt?

Answers

Answer:

$12 discount

Step-by-step explanation:

$40x0.30=12

Using the figure above, what are the measures of the 3 angles in triangle DEF? PLS HURRY! THANKS

Answers

Answer:

F= 34 degrees (alternate angles are equal)

To find D

we first have to find the angles at AB

B =180- 165 (sum of angles on a straight line = 180°)

therefore B = 15°(we'll use this to find the angle at E)

A=34 (from the diagram)

so,

D = 180- (15 + 34) [sum of angles in a triangle = 180°]

D = 131°

E=15° (alternate angles are equal )

Step-by-step explanation:

there u go!


12. The Williams family ate dinner at Olive Garden. The
total bill was $76. They left a tip that was 18% of the bill.
How much did the Williams family pay, including the tip?
A. $76.00
B. $76.18
13.6f
C. $89.68
+
76
D. $62. 32

Answers

Answer:

$89.68 was their total bill (bill + tip)

Step-by-step explanation:

Turn the percentage into a decimal:

76 x 0.18 = 13.68

13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.

13.68 + 76 = $89.68

An ulcer patient is taking Mylanta from a 36-ounce (oz) bottle. If he takes 3/4 oz qoh(every other hour) from beginning at 6 am and ending with a final dose at 10 pm how many days would a bottle last

Answers

Answer:

6 days

Step-by-step explanation:

patient takes eight doses daily; each dose consists of 3/4 oz.

8 x 3/4 = 6 oz daily

therefore, 36 oz bottle would last 6 days

Select all the expressions that are equivalent to 9 + 7x - 3y.
[Choice A) 9 + 7x - 3y
(Choice B] 9 - 7x - 3y
(Choice C) 9 - 7x + 3y
(Choice D) 9 + 7x + (-3y)
(Choice E) 9 - (-7)x - 3y

Answers

Answer: its E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

What is the exact value of sin(105°)?


ANSWER - D) sqrt(2 + sqrt3)/2

Answers

Answer:

[tex]\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}[/tex]

Step-by-step explanation:

We can use the following trigonometrical identity:

[tex]\sin (\alpha - \beta) = \sin \alpha \cdot \cos \beta - \cos \alpha \cdot \sin \beta[/tex] (1)

Where [tex]\alpha[/tex], [tex]\beta[/tex] are angles, measured in sexagesimal degrees.

If we know that [tex]\alpha = 135^{\circ}[/tex] and [tex]\beta = 30^{\circ}[/tex], then the value of the given function is:

[tex]\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}[/tex]

[tex]\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)[/tex]

[tex]\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}[/tex]

[tex]\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }[/tex]

[tex]\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }[/tex]

[tex]\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}[/tex]

[tex]\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}[/tex]

Answer: D) sqrt(2 + sqrt3)/2

Step-by-step explanation: Nah

Ricky's football team scored only 15 times this season.
Every touchdown gave them 7 points (they missed no extra
points) and each field-goal gave them 3 points. They scored 77
points (total) this season.
TRUE OR FALSE:

Answers

Answer:

False 15 times 7= 105

— 4x — Зу = = 9
5х = 15
Help me now

Answers

Answer:

y=-7

x=3

Step-by-step explanation:

I just used a calculator. Hope this helps. :)

17 - 3/7 - what’s the answer

Answers

Answer: 16 4/7

Step-by-step explanation:

Instead of subtracting a fraction from a whole number you could change the whole number into a fraction...

17= 16 7/7, which has the same value as 17

16 7/7- 3/7 equals 16 4/7

(7-3= 4)

16 4/7 hope this helps 119/7-3/7 116/7 16 4/7

Due 01/22/2
3.3.PS-7
Question Help
Car Survey In a survey of 1,300 people who owned a certain type of car, 780 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

60%

Step-by-step explanation:

i dont know how to give an explanation on this, my teacher just said the other day in class that 780 is 60% of 1300.

Round 21.25 to the nearest hundredth

Answers

Answer:

The answer would be 21.25

so it would just stay the same because the number

2 is in the tens place

1 is in the ones place

.

2 is in the tenths place

5 is in the hundreths place

Write
0.012

as a fraction in simplest form.

Answers

Answer 3/250

Step-by-step explanation:

Its in simplest form

12/1000
simplest form: 3/250

How do you compute the volume of a partially filled cylinder on its side by knowing the height of the fluid on a vertical diameter measuring stick?

Answers

Solution :

Since, we can measure the height of fluid. Let it be h.

So height of cylinder is double the height i.e. 2h because cylinder is partially filled.

Also, we can also measure diameter. Let it be d.

Now, we know, radius is haft the length of diameter.

So, r = d/2.

Volume of cylinder is given by :

[tex]V =\pi \times radius^2 \times height \\\\V =\pi\times (\dfrac{d}{2})^2 \times 2h\\\\V = \dfrac{ \pi d^2 h}{2}[/tex]

Hence, this is the required solution.

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