Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?

Answers

Answer 1

Answer:

60 hours

Step-by-step explanation:

We are given;

Initial amount: A_o = 64 mg

Half life; T_½ = 15 hours

Amount left: A = 4 mg

To get the time that 4 mg of Sodium-24 remain, we will use the formula;

A = A_o(½^(t/T_½))

Where t is the time that 4 mg of Sodium-24 remain.

Thus;

4 = 64 × ½^(t/15)

Divide both sides by 64 to get;

4/64 = 2^(t/15)

0.0625 = ½^(t/15)

In 0.0625 = (t/15) In 0.5

-2.7726 = (t/15) × -0.6931

t = (-2.7726 × 15)/-0.6931

t = 60 hours


Related Questions

Why you shouldn't worry about a credit score

Answers

Answer:Without a good credit score and history, the experts say, it's more difficult to qualify for a mortgage or car loan – and more expensive, too, because you won't get the best interest rates. In many states, bad credit can even raise your insurance premiums, cost you a rental apartment, or make it harder to get hired.

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equation.

(2,-2) and (5,9)

Answers

Answer:

3y = 11x-16

Step-by-step explanation:

The general equation of a line that passes through two points can be written as;

y = mx + b

where m is slope and b is the y-intercept

Mathematically in this case;

m = (9-(-2)/(5-2) = 11/3

To write the equation, we use the one-point form

y-y1 = m(x-x1)

(x1,y1) = (2,-2)

y + 2 = 11/3(x-2)

y = 11x/3-22/3+ 2

y = 11x/3 -16/3

so;

3y = 11x - 16

NEED HELP ASAP!!!!OFFERING BRAINIEST!!!

Answers

Answer:

4

Step-by-step explanation:

65% of American adults are video gamers. What percentage of American adults are not video gamers?

Answers

Answer: 35%

Explanation: 100-65=35

Which are functions and which are not

Answers

Answer:

B, A, B

Step-by-step explanation:

the 1st A does not pass and the 1st B does(it passes the horizontal line test)

the 2nd A passed the 2nd B does not

the 3rd A passes (because one input corresponds to only one output) and the 3rd B does not pass

Merry christmas eve may you guys please help me with this :)

Answers

Answer:

C

Step-by-step explanation:

amd merry Christmas to you too

Answer:

its C.

Step-by-step explanation:

10 + 5xy
How do I work this out and what is the answer?

Answers

Answer:

5(2+xy)

Step-by-step explanation:

10+5xy

Factor out 5 from the expression

thus,the answer is 5(2+xy)

The point-slope form of a line that has a slope of 3 and passes through point (6, 0) is shown below. ​

Answers

Answer:

Step-by-step explanation:

its the second one

u gotta add zero to the other side to isolate the y which would give you

y = [tex]\frac{2}{3}[/tex]x - 6

I hope this helps :)

The Environmental Club is selling water bottles for $8 each and tote bags for $12 each to raise a total of $240 to donate to charity.
Let w = the number of water bottles
Let t = the number of tote bags
Write the linear equation for the fundraising goal.

Answers

Answer:

hi

Step-by-step explanation:

Which statement best represents the equation below 10+(-10) =0

Answers

Answer:

im not sure if this is the answer you wanted hope it helped though

Step-by-step explanation:

Applying the BODMAS rule where B=Brackets ,O=of,D=Division,M=multiplication,

A=Addition,S =subtraction

For any equation in which multiple operation is to be done its depends on the preference of the operation to be performed.

The preference followed is BODMAS

In the above question first multiplication will be performed first and then the addition is performed.

10+10*0+10

10+0+10

Answer is 20

Answer:

D. a car goes 7 feet and then reversed 7 feet.

Step-by-step explanation:

The statement above can be set up in a simple equation.

7 - 7 = 0

This can best represent the equation 10 + (-10) = 0, because they both end up with the same result.

10 + (-10) = 10 - 10 = 0

9x=-9


pls help asap​

Answers

-1 cuz if you times 9 by it you get -1

HELPPP PLEASE AAAAAAAAAAAAAAAAA

Answers

Answer:

The second option: 4 1/2 x = 22 1/2

Step-by-step explanation:

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Answer:

Answer:

The second option: 4 1/2 x = 22 1/2

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Step-by-step explanation:

a model for the performance of a stock is P= -2.5d^2+50d where d represents the days of trading and P is the price per share. What is the maximum price per share of stock and after how many days of trading did this price occur?

Answers

Answer:

The maximum price per share is $250 and it happens after 10 days of trading.

Step-by-step explanation:

The performance of a stock is modeled by the function:

[tex]P(d)=-2.5d^2+50d[/tex]

Where d is the number of days of trading and P is the price per share.

To find the maximum price, we use the first derivative:

[tex]P'(d)=-5d+50[/tex]

Equating to zero:

-5d+50=0

Solving for d:

-5d = -50

d = -50/(-5) = 10

d = 10

The price for d=10 is:

[tex]P(10)=-2.5*10^2+50*10[/tex]

[tex]P(10)=-2.5*100+500= 250[/tex]

The maximum price per share is $250 and it happens after 10 days of trading.

A card is drawn at random from a standard pack of 52 playing cards find the probity of drawing a heart or a club

Answers

Answer:

1/2

Step-by-step explanation:

From the question, there are 13 cards of heart and 13 card of club in each suit in each deck.

P(drawing heart) = 13/52

P(drawing club) = 13/52

And we know total standard pack =52

P(drawing a heart or a club)

= number of favourable outcome/ total Number of outcome

P( drawing heart or club) =( 13+13)/52

=26/52

=1/2

Alejandro bought a new refrigerator for $856 with a 25% discount and
6.3%tax. How much did Alejandro pay for the new refrigerator? PLSS HELP! 30 POINTS

Answers

Answer:

$695.94

Step-by-step explanation:

25% of 856 = 214

6.3% of 856 = 53.928

856 + 53.928 = 909.928

909.928 - 214 = 695.928 about 695.94

Answer:

695.93

Step-by-step explanation:

75% of 856 is 642

642 + 53.93 = 695.93

6.3 = 53.93

A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commission of 8% of sales how much sales did she make in a week for both plans to result in the same salary?

Answers

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $[tex]x[/tex]

As per question statement:

Salary as per Plan 1 = $500 + 4% of [tex]x[/tex]

Salary as per Plan 2 = 8% of [tex]x[/tex]

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of [tex]x[/tex] = 8% of [tex]x[/tex]

[tex]\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500[/tex]

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !​

Answers

Answer:

0.125 feet

75/60 to get minutes

0.02/60 to get seconds

multiply by 6

Step-by-step explanation:

660 feet. 75 mph /60 to get minutes which equals 1.25. They travel 1.25 miles every minute. To fond second you would do 1.25/60 since there are 60 seconds in a minute. You get 0.020... that’s how much of a mile they travel per second. Multiply by 6 to figure out how much of a mile within 6 seconds which is 0.125 miles (not feet). Then you convert this to feet. There are 5280 feet in a mile so you multiply that by the amount of miles which is 0.125 which equals 660 feet. They traveled 660 feet within those 6 seconds of sneezing and looking away from the road. Answer above almost got it but forgot to convert to feet.

The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditioner will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change?

Answers

Answer:

The edge length of the air conditioner changed by 0.2m

Step-by-step explanation:

The volume of a cube is S^3

The edge length of the former unit is cube root of 0.512 which is 0.8 m

The edge length of the new is cube root of 1 which is 1 m

The difference is 1-0.8 = 0.2 m

can anyone answer this with expanation?

Answers

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

A person walked x feet and half that length again

Answers

Answer:

3/2x

Step-by-step explanation:

x feet and half x = x+1/2x or 3/2x

Hope this helps plz hit the crown :D

Please answer!!!! And show work if possible!!!!! ​

Answers

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

what does f(-3)= ? .

Answers

Answer:

10

Step-by-step explanation:

Answer:

12

f = function

your functions are the 1st box and your outputs are the second box

Choose the method of pay that would result in the most earnings for one month on sales of $40,000. a. Straight commission of 7.5% on all sales. b. Monthly salary of $1,600 plus 2.5% commission on all sales. c. Graduated commission of 5% on the first $30,000 in sales and 6% on anything over that. d. Graduated commission of 4% on the first $25,000 in sales and 8% on anything over that. Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

In the question, the answer is 7.5% straight on all revenue because the commission would be a charge the corporation pays to something like a sales representative to help or achieve a sale in return for their services.

Answer:

a.

Step-by-step explanation:

LMNO is a rectangle. If m

Answers

Go to the english section of Brainly

Find 1000% of 99 pls help

Answers

Step-by-step explanation:

1000% of 99 = 10 * 99 = 990.

2 milliliters is how many teaspoons?

Answers

Answer:

0.405768

Step-by-step explanation:

Please help with 15.

Answers

Answer:

negative 16

Step-by-step explanation:

the numbers skip by 20

Answer:

-4

Step-by-step explanation:

If you look at the table closely for the value of x decreases by 2 like the first value is 7 then it goes to 5 then it goes to 3 then to 1, and if you look at the values of y it decreases by 20 like the first number is 66 then 46 then 26 then 6.

But in the table it asks the missing value of y when x is 0 not -1 so for difference of 1 instead of the usual 2 in the pattern the value of y would decrease by 10 instead of 20 so 6-10 would be -4

so the missing value of y is -4

Garnetta bought 5 large box lunches for $47.25. Which equation can be used to find the cost, L, of a large box lunch? *

Answers

Answer:

[tex]5x = 47.25[/tex]

geometry:(

will give brainist!!!

Answers

Answer :

Should be this I’m not sure though

Step-by-step explanation:

214 g = ? kg please help

Answers

Answer:

0.214 kg

Step-by-step explanation:

According to my research I believe that 214g = 0.214kg
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