If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present after 13 years?

Answers

Answer 1

The weight of substance remaining after 13 years is 2.25 g.

Given:

Present weight of substance = 12 g

After 8 years weight remains = 6 gm

Now, weight loss in 8 year will be,

12-6=6 gm

So, weight loss in 1 year will be,

[tex]\dfrac{6}{8} =\dfrac{3}{4}[/tex]

Total weight loss in 13 year will be,

[tex]\dfrac{3}{4}\times13=9.75[/tex]

The weight of substance remaining after 13 years will be,

[tex]12- 9.75 = 2.25 \;\rm g[/tex]

Therefore, the weight of substance remaining after 13 years is 2.25 g.

To know more about radioactive decay, refer to the link:

https://brainly.com/question/12116123


Related Questions

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 12in)

Answers

Answer:

18 feet

Step-by-step explanation:

If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D

which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready

Answers

Answer:

2:5 is the simplified form.

Step-by-step explanation:

4:10 => 4/10 => 2/5=> 2:5

Conclusion:

Therefore, the simplified form of 4:10 is 2:5.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

2:5 and 12:30

I hope this helps!

From: Aug1e

I have no clue what to do

Answers

answer people questions if you know the answers.Or ask for help if your doing homework.

Answer:

Borrow a brain

Step-by-step explanation:

How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches

Answers

Answer:

24 screeches

Step-by-step explanation:

20M=12L=8P=24S

solve for A and line AB

Answers

Answer:

a = 22

AB = 50

Step-by-step explanation:

[tex]a-5=17[/tex]

[tex]a=17+5[/tex]

[tex]a=22[/tex]

Line AB=2a+6

[tex]2(22)+6=44+6=50[/tex]

[tex]AB=50[/tex]

Hope this helps

I need help on this question
No links!

Answers

Answer:

>

Step-by-step explanation:

> means greater than and because 79 is greater than -5, the correct sign you would use will be >

79 > -5

>79 is greater than negative5

What are the coordinates of C if translated 5 units upward?

Answers

(6, 11)

hope this helps!

A student earned a grade of 82% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

Answers

Answer:  16

Work Shown:

82% of 20 = 0.82*20 = 16.4 which rounds to 16

What is this expression in simplest form?

Answers

Answer:

A. 1÷(X+1) (x-2)

some steps are directly

tag me in brainlist if you like it

What is the simplified form of
3+2−14−24
−4
when x ≠ 4?

Answers

the answer for this is
-33

can someone help me learn transforming linear functions? i need to know how to move the linear equation up or down on the y axis, and increase and decrease the slope. please be a virtuso or higher.

I'll make the person that helps me through it brainliest and answering and helping is worth 35 pts.​

Answers

Answer:

Step-by-step explanation:

Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

y=mx+b

Where m is the slope and b is the y-intercept.

given a isotope with a 3 charge, a mass number of 28, and an atomic number of 13, what are:

Answers

Answer: The element described is aluminum.

Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.

Answers

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: https://brainly.com/question/24734894

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: brainly.com/question/24734894

How do I solve for x?

Answers

X + 36 = 16

16 - 36 = -20

X = -20

Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.

So,

16 = x + 36

16 - 36 = x

-20 = x

______

Hope it helps ⚜

factor completely.
-3x^2+9x+30

Answers

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

sin2A + sin5A - sinA÷cos2A + cos5A + COSA=Tan2A​

Answers

Answer:

That is the correct answer

Step-by-step explanation:

AND the whole solution I hope it helps to you

Find the slope of the line passing through the points (8,-4) and (1,-9)

Answers

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Answer: 0.71429

Step-by-step explanation:

Find the area of each figure

Answers

30yd^2
Explanation-
B•h/2
10•6=60
60/2=30
:)

Please find the range of these numbers

Answers

Answer:

91 - 74 = 17

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers.

Help please, I don't know how to get the measurements for the angles.

Answers

the only one i could figure out was that q= 24 and i think r=48

Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain.

Answers

yes, because slope is the steepness of a line. if the steepness of those two lines are the same, you will have to expand the x-axis (the length of the first ramp).

Anyone know these answers for algebra? (There's 16)
1. 7/n-6=9/5
2. r-2/5=6/7
3. A+6/5=7/2
4. 10/2=x-9/4
5. 8/7=9/n-7
6. p-7/p=10/8
7. N+9/3=n/4
8. N+8/6=n/4
9. 7% of what is 20.4
10. 71 is 38% of what
11. What percent of 158 is 6
12. 390% of what is 150
13. 47% of what is 91.6
14. 10% of what is 159
15. 34% of what is 126
16. 91% of what is 48

Answers

12: 47% of 91.647×91.6/100

Please help me on this it’s due tomorrow:(((

Answers

Answer:

Bro

Step-by-step explanation:

sorry

I cannot do each one. But I can go over how to do them. An explanation is more valuable than an answer

Think of slope as rise over run. How much does the line go up, every time it goes over. Simply find two points that are nice and even on the graph. Then count how much it goes up between these two point, and how much it goes over. Then write as rise over run. If the graph goes up to the right, then it’s positive. If it goes down to the right, then it’s negative

Y intercept is where the graph crosses the y axis. The intercept will be (0, y). It’s just the crossing point

I don’t know what the hell real world interpretation means. U will never use that again :)

For the equation, just put the last two things I went over together. I remember by saying y = move x plus begin. This stands for y=Mx+b
The move is the slope. Put in the fractional slope, which will be either positive or negative. Then write x. Then do the y intercept. Which is how far up or down on the y axis it starts.
For example. The equation for the first one is y=3x+6. It rises 6 for every time it goes over 12, which is simplified to 3/1. And it starts at y=6

Hope that helps. Sorry I won’t do each one

A laptop computer is normally $1299 but is discounted to $999. What percent of the original price does
Charlie pay?

Answers

Answer:

76.90%

Step-by-step explanation:

100/1299*999= 76.9053117783 - 100 = -23.0946882217

In Substitution

3+2x-y=0
-3-7y=10X

Answers

Answer:

i think x = -1, y = 1

Step-by-step explanation:

3+2x-y=0

so 3+2x = y

-3-7y=10X

-3-7(3+2x) = 10x

-3-21-14x = 10x

-24-14x = 10x

-14x-10x = 24

-24x = 24

x = -1

3+2x = y

so 3+2(-1) = y

3+(-2) = y

1 = y

SO x = -1 and y = 1

Which of the following is the contrapositive of the conditional below?

If 3 + 4 = 6, then 2 · 5 = 10.

If 2 · 5 = 10, then 3 + 4 = 6.
If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.
If 3 + 4 ≠ 6, then 2 · 5 ≠ 10.
If 3 + 4 ≠ 6, then 2 · 5 = 10.

Answers

Answer:

If 3 + 4 ≠ 6, then 2 · 5 = 10.

Step-by-step explanation:

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain." If p , then q .

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?

Answers

Answers:

To reach the breakeven point, how many attendees will that take?     117  

What will be the company's total expenses and revenues?      $1755  for each  

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?

Answers

Answer:

$26.32

Step-by-step explanation:

0.94x28 = 26.32

(Meeting character limit)

solve plssssssssssssssssssssssssssssssssssssssssssssss

Answers

If any questions leave a comment

Answer:

[tex]\frac{973}{324} [/tex]

Step-by-step explanation:

[tex] ( - \frac{ 27}{64} - ( - \frac{125}{8} ))\times ( \frac{2}{3} )^{4} [/tex]

[tex] ( - \frac{ 27}{64} + \frac{125}{8} ) \times \frac{16}{81} [/tex]

[tex] \frac{973}{64} \times \frac{16}{81} [/tex]

[tex] \frac{973}{4} \times \frac{1}{81} [/tex]

[tex] \frac{973}{324} [/tex]

HELLPPPPPP ASAP PLEASE

Answers

Answer:

the answer is A

Step-by-step explanation:

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