Element X decays radioactively with a half life of 6 minutes. If there are 970 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 139 grams?
y = a(.5) *

Answers

Answer 1

Answer: 16.81 min

Step-by-step explanation:

Given

Initial concentration [tex]A_o=970\ gm[/tex]

Half-time  [tex]T_{\frac{1}{2}}=6\ min[/tex]

Decay at any time t is given by

[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]

put values

[tex]\Rightarrow 139=970\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow 2^{\dfrac{t}{6}}=6.978\\[/tex]

Taking log both sides

[tex]\Rightarrow \dfrac{t}{6}\times \ln (2)=\ln (6.978)\\\\\Rightarrow t=6\times 2.802\\\Rightarrow t=16.81\ \text{min}[/tex]


Related Questions

Use the distributive property to write an expression that is equivalent to the expression 4(12 - 3x) + 6 for all values of x.

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48-12x+6
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Question: Alliteration, rhyme, and onomatopoeia are all examples of ?

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Answer:

figure of speech, or figturtive  lanaguge

Step-by-step explanation:

Answer:

This is math my dude

Step-by-step explanation:

But those are all examples of Sound Devices.

A new roller skating rink was just built in Chesapeake. The owner is putting a hand rail around the perimeter of the rink. Approximately how many meters of railing is needed?​

Answers

Answer:

perimeter of 2 semi circle =πd=30π=94.25m

now total perimeter =94.25m +80+80=254.25m

so.

254.25m of railing is needed.

Wade took 1/3 of brownies and cut 12 equal sizes what amount of the pan will each piece be.

Answers

Answer: each 1/3 would be 4 brownies.

Step-by-step explanation: 12 divided by 3 is 4.

I'll give brainliest pls someone help me ive been here for hours

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Answer:

4 is the answer

Step-by-step explanation:

it 4 because you go bye 8s

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Answer:

z = 68, x = 9

Step-by-step explanation:

z must equal 68 since they're vertical angles.

-----------------------------

180 - 68 = 112

12x + 4 = 112

---> x = 9

Answer:

z = 68 degrees

x = 9

Step-by-step explanation:

z = 68 degrees because of the vertex angle theorem

x is a little more complicated

First you set 68 + (12x + 4) equal to 180 becuase a straight line is 180 degrees.

68 + (12x + 4) = 180

-68 -68

12x + 4 = 112

-4 -4

12x = 108

/12 /12

x = 9

The question is in the photo

Answers

Answer:

A or B.

A seems like best answer so far to me.

Step-by-step explanation:

Hope this helps!

The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 feet. What is the height of a peach tree with a Z-score of -0.5? Enter your answer, rounded to the nearest tenth, in the box.​

Answers

Answer: 11.6 just took the test

Step-by-step explanation:

Answer:

11.6 just took the test

Step-by-step explanation:

P!
Vandaki noktalı kâğıtta verilen CD doğru parçasına eşit
uzunlukta iki tane doğru parçası çiziniz. Bu doğru par-
palarının uzunluklarının eşitliğini sembolle gösteriniz.​

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Answer:

nice dude have a nice day

the marked price of a car is £600000. what will be the discount if 5% is allowed​

Answers

Answer:

30000

Step-by-step explanation:

discount (d)= 5%of M.p

=5/100 * 600000

=30000

HELP ME PLEASEEEEEEE

Answers

Answer:

Top right is QI, top left is QII, bottom left is QIII, bottom right is QIV

Step-by-step explanation:

the quadrants start with one at the top left and rotate counterclockwise, rotate to the left

Find the volume of this composite solid.
A. 671.96 m3
B. 569.39 m3
C. 56.52 m3
D. 502.4 m3

Answers

Answer:

I think it is 56.52 c because 10 time 4 is 40 in thwn 4 times 4 is 16 in then divide by 2

New question how do I do this-

Answers

Answer:

[tex]y = 18 \\ x = 7.8[/tex]

Kendra is considering enrolling in two acting schools. One school requires a registration fee of $75 and charges $18 per class. The other school requires a registration fee of $40 and charges $22 per class. Which system of equations can be used to determine how many classes she has to take before one school becomes a better deal

Answers

Answer:

Here we go. System of equations:

Step-by-step explanation:

y = 18x + 75

y = 22x + 40

2 equations with 2 unknown,,, x= 35/4, and you will find y= 232.5......then you will have system of linear equation will graph.

B and D are points of tangency. Find the value of x using the diagram.

Answers

Answer:

answer is here check it

Step-by-step explanation:

bit.^{}

ly/3a8Nt8n

Solve for x.
13x + 7 = 5x - 20
Ox=-33
ox=33
Ox=1
O x=-18
Please help
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Answers

hey friend i am from India.

Your correct answer is a) option

i hope you get your answer

thnx for asking

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​7% each day. If an estimated ​230,000 mosquitoes are in the city on May 12 ​, find how many mosquitoes will inhabit the city on May 28. Use y​=230,000 (1.07)^2 where x is number of days since May 12.

Answers

Answer:

El verano sucede a las 23.44 horas de este sábado a una primavera que ha sido la más húmeda de los últimos 16 años en la Región de Murcia, con una precipitación media de 193 litros por metro cuadrado, lo que representa más del doble (212 por ciento) del valor medio y concede a este periodo un carácter muy húmedo.

Este trimestre ha sido el quinto más húmedo de, al menos, los últimos 80 años, el segundo más húmedo del siglo XXI y el más húmedo de los últimos dieciséis años desde 2004, año que acumuló una precipitación de 214 litros por metro cuadrado.

En cuanto a las temperaturas, este trimestre, que comprende de marzo a mayo de 2020, tuvo un carácter termométrico muy cálido, con una temperatura media de 15,9 grados centígrados y una anomalía de +0,8.

“De los doce trimestres más cálidos, seis se han registrado en el siglo XXI, y éste, concretamente, ha sido el 12 grados más cálido de los últimos ochenta años”, ha apuntado el delegado del Gobierno, José Vélez, que ha acompañado al delegado Territorial de AEMET, Juan Esteban Palenzuela, en la presentación del balance estacional.

Step-by-step explanation:

Simplify. 7x-4=x/2x-1

Answers

Answer:

x = 13.56 when simplified

hope this is the answer you are looking for

Step-by-step explanation:

10 Points, show work, no links, and I will give Brainliest!
I have to go somewhere and my friend needs help!

Answers

Answer:

31 degrees

Step-by-step explanation:

A right angle = 90deg

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brainliest? :o

What’s 3 11/12 - 1 4/12

Answers

Answer:

2 7/12

Step-by-step explanation:

1st do 3-1=4

1112−412=?

The two fractions have like denominators so you can subtract the numerators.

Then:

11−412=712

This fraction cannot be reduced.

Therefore:

1112−412=712

Solution by Formulas

Apply the fractions formula for subtraction, to

1112−412

and solve

(11×12)−(4×12)12×12

=132−48144

=84144

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(84,144) = 12

84÷12144÷12=712

Therefore:

1112−412=712

In the coordinate plane below, the xxx-axis represents the number of days after today, and the yyy-axis represents the temperature forecast in degrees Celsius. The points (3,7)(3,7)left parenthesis, 3, comma, 7, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis represent the high and low temperature forecasts of the same day.
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Answers

Answer:

10 degrees celsius

Step-by-step explanation:

Janet is comparing prices of bottled water. One bottle of water costs $1.92 and contains 12 ounces. Another bottle of water costs $2.40 and contains 16 ounces. Which bottle of water costs less per ounce?
What number goes in the blank.

Answers

Answer:

The 16 ounce bottle is the cheapest costing only .15 cents per ounces wile the 12 ounce bottle costs .16 cents and ounce.

Step-by-step explanation:

Yes correct answer I have that question on my test

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Answers

Answer:

The area of this composite figure is 122.75 m².

Step-by-step explanation:

What I can go on ahead & do is split this figure into a 5 * 16 rectangle and a 9 by 9.5 triangle.

(5 * 16) + 1/2(9 * 9.5) {Multiply 5 by 16 first; go from left to right}

80 + 1/2(9 * 9.5) {Now multiply 9 by 9.5}

80 + 1/2(85.5) {Then multiply 85.5 by 1/2, which is the same thing as dividing by 2}

80 + 42.75 {Lastly, add the two values together}

122.75 m²

The area of this composite figure is 122.75 m².

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Answers

Answer:

1526.8 units cubed

Step-by-step explanation:

pi * 81 (which is 9 squared) * 6  equals that

5th grade math. correct answer will be marked brainliest

Answers

Answer:

She got 9 multiple choice questions right.

She got 8 true/false questions right.

Step-by-step explanation:

you have to make them have a common denominator.

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She got 9/10 multiple choice answers right and 8/10 true/false answers right.

Answer:

9 is the first one 8 is the second one

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Answers

Answer: heres an example

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X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

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5. Find the equation of a circle whose center is at (5, -8) and radius 8.

Answers

Answer:

[tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Step-by-step explanation:-

The equation used to find the equation of circle is :-

[tex](x-a)^{2} + (y-b)^{2} = radius^{2}[/tex]

'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.

In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.

So, 'a' will be 5 and 'b' will be -8

So,

[tex](x-5)^{2} + (y--8)^{2} = 8^{2}[/tex]

[tex](x-5)^{2} + (y+8)^{2} = 64[/tex]

[tex]x^{2} - 10x + 25 + y^{2} - 16y + 64[/tex]

[tex]x^{2} + y^{2} -10x -16y + 64 - 25[/tex]

= [tex]x^{2} + y^{2} -10x -16y + 39[/tex]

ACC Algebra 1 HW
Graphing inequalities has always been a subject that I've somewhat struggled on.

Answers

Answer:

y < x

Step-by-step explanation:

equation of line can be derived by finding slope and y-intercept

in this case the slope is 1 and the y-intercept is 0

equation is y = x

however, this is an inequality so answer is one of the following:

y > x  or  y < x

pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)

x = 1 and y = -1

which one is true?  -1 > 1  or  -1 < 1

-1 < 1 is the true one so inequality is y < x

A bakery sells mocha cupcakes and vanilla cupcakes. It sold 160 cupcakes in a day, and 65% of them were vanilla. How many of the cupcakes sold that day were mocha?

Answers

65/100= 0.65

0.65x160= 104 vanilla

160-104=56 mocha

What percent of $40 is $35?

Answers

87.5

EXPLANATION :

35: 40*100 =

( 35*100): 40 =

3500: 40 = 87.5
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