The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?

Answers

Answer 1

Answer:

2 grams

Step-by-step explanation:

50 years is 5 half lives as 1 half life is 10 years.

64 divide 2 = 32-1 half life

32 divide 2 =16-2nd half life

16 divide 2 = 8-3rd half life

8 divide 2 = 4-4th half life

4 divide 2 = 2-5th half life

This means we will have 2 grams left of the radioactive substance after 50 years.


Related Questions

Omar's net pay is $2,160. Does he make enough money to make the monthly payments for this apartment?
Security Deposit $500
Application Fee
$10
First Month's Rent $550
Electricity
$25 connection fee: $40 per month
Telephone
approximately $36 per month; $40 to connect
Water
$26 per month; a deposit of $50
Yes
No

Answers

Answer:

Yes he does.  the total to all those numbers is 1277

Step-by-step explanation:

What percent of 80 is 10?

Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?

Answers

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

During a sale at a furniture store, sofas were marked down 30%. You have a coupon for an additional 15% off. What is the final price of a sofa that originally cost $550?

Answers

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

The final price of a sofa will be $302.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The original price of a sofa = $550

During sale at a furniture store, sofas marked down = 30%

Coupon for an additional 15% off.

Now,

Total percent for profit on a sofa = 30% + 15%

                                                  = 45%

Hence, The cost of a sofa after discount will be calculate as;

The cost of discount at a sofa = 45% of 550

                                              = 45/100 x 550

                                              = 24,750 / 100

                                              = 247.5

So, The final cost of a sofa = $550 - $247.5

                                         = $302.5

Therefore, The final price of a sofa will be $302.5.

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How many text messages have you sent today?

Answers

Answer: A lot

Step-by-step explanation: I can't count how many

The five-number summary of a data set is given below.
Minimum: 3
Q1:12
Median: 15
Q3: 16
Maximum: 20
Which of the following is the IQR for this distribution?
1
3

4
5

Answers

Answer:

127 is the IQR.

Step-by-step explanation:

C: 4

IQR (interquartile range) can be found by subracting Q1 from Q3 (Q3 - Q1)

Reposting because Katie from the Brainly staff seems to think simple subtraction is a violation of community guidelines ¯\_(ツ)_/¯

Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?

Answers

Answer:

25 points

Step-by-step explanation:

21 x 3

63

-20

43

-18

25

John is renting a boat, it costs $40 for the day and $5 per hour to rent. set an expression for the cost of the boat rental.A) factor the expressionB) how much would it cost for 4 hours

Answers

Answer: B

Step-by-step explanation:

how do i find this find x and y

Answers

Answer:

x = 20, y = 10

Step-by-step explanation:

Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.

Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10

WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15

Answers

Answer:

a: -1/2

b: 15

Step-by-step explanation:

A system that has infinite solutions is the same line on top of itself.

Hope that helps



Does ANYONE Know How To Solve THIs…Brainliest Will be awarded!!!

Answers

Answer:

w = 8x = 8√2y = 8√2z = 16

Step-by-step explanation:

A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.

w = 8 . . . . . . . . . . . same as the leg length shown

x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same

z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle

Graph the following features:
Slope = -3
• Y-intercept = -4

Answers

Answer:

maybe (-3,-4)?

Step-by-step explanation:

Help for points please!

Answers

Answer:

A) 0

Step-by-step explanation:

15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.

Answer:

0

Step-by-step explanation:

= [tex]\frac{5}{7}-\frac{5}{7}[/tex]

= [tex]\frac{5-5}{7}[/tex]

= [tex]\frac{0}{7}[/tex]

= [tex]0[/tex]

hope you get it
{2x−y=4
y−x=4

Answers

Step-by-step explanation:

System of Linear Equations entered :

[1] 2x-y=4 [2] y-x=4

Equations Simplified or Rearranged :

  [1] 2x - y = 4   [2] -x + y = 4

Graphic Representation of the Equations :

y + 2x = 4 y - x = 4

Solve by Substitution :

// Solve equation [2] for the variable  y 

 

[2] y = x + 4

// Plug this in for variable  y  in equation [1]

  [1] 2x - (x +4) = 4   [1] x = 8

// Solve equation [1] for the variable  x 

  [1] x = 8 

// By now we know this much :

  x = 8   y = x+4

// Use the  x  value to solve for  y 

  y = (8)+4 = 12 

Solution :

 {x,y} = {8,12} 

A computer costs £964. A tax of 18.5% is then added to the cost of the
computer.
Work out the amount of tax that is added to the cost of the computer.
Give your answer in pounds (£).

Answers

Answer:

The amount of tax is £178.34, and the full total is £1142.34.

Step-by-step explanation:

Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.

The amount of tax that is added to the cost of the computer is

£178.34.

What is tax?

A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.

Assume the amount of tax that is added to the cost of the computer is

£{x}. Then, we can write the equation as -

{x} = 18.5% of 964

{x} = (18.5/100) x 964

{x} = 178.34

Therefore, the amount of tax that is added to the cost of the computer is

£178.34.

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Read the sentences.

Carlos wanted to go to the arcade so badly, but his father said he had to do his homework first. His father wouldn't budge on his decision.

A synonym for the word budge is change. What does the word budge mean as it is used in this sentence?

To keep
To bend
To disagree
To entertain

Answers

Answer:

To Bend I would say.

Step-by-step explanation:

Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.

How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?
It is stretched horizontally by a factor of 2 and translated up 3 units.
It is compressed horizontally by a factor of 2 and translated up 3 units.
It is stretched vertically by a factor of 2 and translated up 3 units.
It is compressed vertically by a factor of 2 and translated up 3 units.

Answers

Transformation involves changing the form of a function

The true statement is (a) it is stretched horizontally by a factor of 2 and translated up, 3 units.

The function is given as:

[tex]y = \log(x)[/tex]

Start by stretching the graph of [tex]y = \log(x)[/tex], horizontally by a factor of 2.

So, we have:

[tex]y = \log(2 \times x)[/tex]

[tex]y = \log(2x)[/tex]

Next, shift the function up by 3 units.

So, we have:

[tex]y = \log(2x) + 3[/tex]

Hence, the true statement is (a)

Read more about transformations at:

https://brainly.com/question/12619643

Answer:

its b on edge

Step-by-step explanation:

PLEASE HELP 15 POINTS please give right answer​

Answers

Answer:

pretty sure it's D........

YES I WILL MARK BRAINLIST !!! Algebra please help me with these Im timed!!!!!!!!
The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

Here is the data that the track coach collected for 8 runners.

Answers

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

What is Data?

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

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200m - 125m + 48,750 = 50,000 - 175m​

Answers

Answer:

m = 5

Step-by-step explanation:

200m - 125m + 48,750 = 50,000 - 175m​

=> 75m + 48,750 = 50,000 - 175m​

=> 75m + 175m = 50,000 - 48,750

=> 250m = 1250

=> m = 5

Hoped this helped.

You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline

Answers

I’m not sure, it may be 3x2 for the equivalent expressions :/

does anyone know how to do this?

Answers

Answer:

x = 1y = -7

Step-by-step explanation:

The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.

After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.

  7(2x +3y = -19)   ⇒   14x +21y = -133

  2(-7x +2y = -21)   ⇒   -14x +4y = -42

Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)

  (14x +21y) +(-14x +4y) = (-133) +(-42)

  25y = -175 . . . . . . . . simplify

  y = -7 . . . . . . . . . . . divide by 25

Substituting this value into the first equation gives ...

  2x +3(-7) = -19

  2x = 2 . . . . . . . . . add 21

  x = 1 . . . . . . . . . divide by 2

The solution is x = 1, y = -7.

_____

Additional comment

The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.

Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.

Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.

Can someone help me please​

Answers

D does not show to Communicative Property of Addition. D is the Communicative Property of Multiplication.

Answer:

D. ab=ab

Step-by-step explanation:

Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.

I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)

Multiply the monomials:
(3/4)pq, (1/2)qr^2, -5q^2r^3 and -6r^5​

Answers

Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵

On multiplying them then

⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]

⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)

⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)

⇛ (90/8)×p³×q²×r¹⁰

Since a^m × a^n = a^(m+n)

⇛ (45/2)×p³×q²×r¹⁰

⇛( 45/2 ) p³q²r¹⁰

Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰

Name the Marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!

Answers

Answer:

<NLO and <OLN

Step-by-step explanation:

These two angle names are the same. the letters are simply reversed. it's like saying 1+2=3 and 2+1=3. the same. only reversed but still fluent in simplicity.

pls answer quickly

This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?

A. 12
B. 10
C. 6
D. 4​

Answers

Answer:

I need the photo

Step-by-step explanation:

I need the photo

Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?

Answers

Answer:

$1.13

Step-by-step explanation:

You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13

What is the slope of the line

Answers

(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

What is the value of the expression
3-4 ?

Answers

Answer:

[tex]3 - 4 = 1[/tex]

✨✨

3-4

you just need to subtract 3 from -4

so , your answer is -1

true or false 3 x 10^4 is 5 times as much as 6 x 10^3

Answers

Answer:

True

Step-by-step explanation:

1. To find if this statement is true or false, we first have to evaluate the value of these numbers.

[tex]3 * 10^4 = 3 * 10 * 10 * 10 * 10 = 30 * 10 * 10 * 10 = 300 * 10 * 10 = 3000 * 10 = 30000[/tex] [tex]6 * 10^3 = 6 * 10 * 10 * 10 = 60 * 10 * 10 = 600 * 10 = 6000[/tex]

2. Next, we divide 30,000 by 6,000. If our quotient is 5, then this is true.

[tex]30,000/6,000[/tex] [tex]5[/tex]

Therefore, this is true.

8. Beth doesn’t begin receiving commission until she reaches $50,000 in sales. After that, her commission rate is 12%. If she ends up selling cars totaling $115,000, how much money would she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400

Answers

Step-by-step explanation:

she is the only sales agent selling cars after totaling them ... :-)

she makes 12% commission on the amount of sales beyond $50,000.

so, total sales was $115,000.

the base for her commission is then

115,000 - 50,000 = $65,000

she gets 12% of these $65,000.

100% = $65,000

1% = 100%/100 = 65,000/100 = $650.

12% = 1%×12 = 650 × 12 = $7,800

so, C is the right answer.

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