Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h​

Answers

Answer 1

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes


Related Questions

Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1

Answers

Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

the circumfrence is 72 cm what is the length of the minor arc

Answers

Answer:

Should be 9 centimeters.

Step-by-step explanation:

a - 2/3 = 3/5 how much is a?

Answers

Answer:

19/15

Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.

Diameter of a circle is two units. What is the radius of the circle?

Answers

Answer is 3.5 feet enjoy

Use completing the square to find the equation of the following circle in standard form.

x2 + y2 - 4x + 12y - 16 = 0

Answers

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php

A soccer field is 100 meters long. What could be its length in yards? A. 33.3 B. 91 C. 100 D. 109​

Answers

Answer:

D. 109

Step-by-step explanation:

100 meters into yards is 109.361

the ratio is 1.094 so 109

15 points!!! PLEASE HELP!!!
Find the solution to the following equations below and identify either one solution, no solution, or infinite solutions. Be able to explain your choice.
3(x+4)=3x+11
-2(x+3)=-2x-6
4(x-1) = 1/2(x-8)
3x-7=4+6 +4x

Answers

Answer:

3(x+4)=3x+11

3x + 12 = 3x + 11

3x + 1 = 3x

No solution

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

-2x - 6 = -2x - 6

x = x

Infinite solutions

4(x-1) = 1/2(x-8)

4x - 4 = 1/2x - 4

8x - 8 = x - 8

7x = 0

x = 0

One solution

3x-7=4+6 +4x

3x - 7 = 10 + 4x

x = -17

One solution


ANSWER ASAP! DUE TODAY
5. Find the measure of arc AC.
Find mAC
A) 52
B) 72
C) 92
D) 112

Answers

Answer:

A.   52°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

m∠B = 1/2 (m of arc AC)

26 = 1/2 (m of arc AC)

52 = (m of arc AC)

6. A cylinder has a volume of 500 cm3 and a diameter of 18 cm. Which of the following
is the closest to the height of the cylinder?
a) 1 cm
b) 2 cm
c) 4 cm
d) 8 cm​

Answers

Well, h≈1.96 cm. Choose b. since it’s the closest to 2.

Thomas walks 10 miles in 120 minutes. Select all of the unit rates below that
describe Thomas' walk. Show your work.
a) He can walk 1 mile in 12 minutes
b) He can walk 12 miles in 1 minute
c) He can walk of a mile in 1 minute
1
d) it takes him of a minute to walk 1 mile
12
12

Answers

Answer:

Hi! The answer to your question is B) He can walk 12 miles in 1 minute.

To find Unit rate divide the biggest number by the smallest; Example: [tex]120/10[/tex]

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Using Substitution, what is the point of intersection of the following
systems? *

3x – ly = 14

y = - 2x + 16

1) (6,4)
2) (-6,-4)
3) (-6, 4)
4) (6,-4)

Answers

Answer:

A

Step-by-step explanation:

(6,4)

3x-1y=14

-y= 3x-14

y=-2x+16

sub in first equation

3x-14 =-2x+16

3x+2x= 16 +14

5x = 30

x = 6

plug in x

y=-2x+16

y = -2(6)+16

y = 4

(6,4)

Can someone please help me with this? And please no links.​

Answers

Answer:

1x + 15?

Step-by-step explanation:

convert 123 percent into fraction​

Answers

Hopes this helps:

Answer: 123/100

1. 123% means 123 out of 100

1.23 is a decimaland 123/100 OR 123% is the percentage for 123/100.

HOW TO WRITE 123/100 AS A DECMAL?

Step-by-step explanation:

Fraction=123/101

Decmial=1.21782

percentage=121.782%



2) Michael decides to go for a cycle ride. He rides a ​

distance of 80 km at an average speed of 24 km/h. ​

Work out how long Michael’s ride takes

Answers

Step-by-step explanation:

REMEMBER D/S×T (triangle)

therefore, finding time

D/S

80/24

make sure to press the degrees button on your calculator

3 hours and 20 minutes

Delano downloaded 9 songs on Saturday and 5 songs on Sunday. How many total songs did he download on Saturday and Sunday?

Answers

Answer:

the answer is 14 I pinkie promise!

HHEEEEEELLLLPPPPPP ANSWER THIS QUICKLYYYYY

Answers

Answer:  27

Step-by-step explanation:

[tex]a_{1}=6\\a_{2}=a_{n-1}+7=a_{2-1} +7=a_{1} +7=6+7=13\\a_{3}=a_{n-1}+7=a_{3-1} +7=a_{2} +7=13+7=20\\a_{4}=a_{n-1}+7=a_{4-1} +7=a_{3} +7=20+7=27[/tex]

Which table represents a linear function?

Answers

Table one represents a linear function for the given data.

What is a linear function?

A linear function is a mathematical function that can be written in the form:

y = mx + b

where "m" and "b" are constants, and "x" and "y" are variables.

In this form, "m" represents the slope of the line, and "b" represents the y-intercept, the point where the line crosses the y-axis. The slope of the line is the rate of change of the function, representing how much the value of "y" changes for every unit change in "x".

The given table is,

x         y

1         5

2       10

3       15

4       20

5       25

The slope of the given data is,

m = ( 10 - 5 ) / ( 2 - 1 ) = 5

m = ( 15 - 10 ) / ( 3 - 2 ) = 5

m = ( 20 - 15 ) / ( 4 - 3 ) = 5

Here the slope is constant, so the function is linear.

To know more about linear functions follow

https://brainly.com/question/21107621

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HELLPP WORTH 20 POINTS ✨

Answers

Answer:

it's radius is 9 and diameter is 18

Answer:

diameter=18cm

radius =diameter/2=18/2=9cm

Please can someone help me?

Answers

Answer:

Step-by-step explanation:

Can the following side measures make a triangle: 11in., 12in. and 13in?

Answers

Answer:

Yes

Step-by-step explanation:

Hello There!

Remember the sum of the two shorter sides has to be greater than the largest side in order for it to be a triangle

11+12 must be greater than 13

11+12=23

23>13 therefore the side lengths can form a triangle

Kora and Wallace planted a garden bed the size of the red square. How big is their garden bed? (Finding the area)

Answers

Answer: no sol

Step-by-step explanation:

bro there is no pic to do so  im just going to say...

Suppose () = 1/8 for 0 ≤ ≤ 4 for x being a continuous random variable Is () a probability density function? Prove or disprove.

Answers

Answer:

The expected value of x ; E(x) = 1

Step-by-step explanation:

F(x) = 1/8 for 0 ≤ x ≤ 4

To prove that it is a probability density function we will find E(x )

attached below is the required prove

It is proven that F(x) = 1/8 for 0 ≤ x ≤ 4 is  probability density function

The expected value of X = 1

This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. What is the weight of each circle, in grams?

Answers

Answer:

8/3 gram

Step-by-step explanation:

Since the hanger is said to be in balance, then the weight on the right balances the weight on the left ;

Right hand side = Left hand side

12 = 4 + x + x + x

12 = 4 + 3x

12 - 4 = 3x

8 = 3x

8/3 = 3x / 3

x = 8/3 gram

what is the worst thing you can do to a girl but they will like it

Answers

Answer:

KISS THEY BESTFRIEND AND THEY BOTH WANNA CUDDLE

Step-by-step explanation:

Answer:

expressing how you feel even if it comes off wrong because sometimes we understand this based off of a boys actions for example say he gets an attitude because your talking to everyone except him at a party and he came there with you well you have to understand that it could come off as awkward because he standing around looking lonely because your not admiring his presence when he's there with you and 9 times out of 10 your his girl friend

Step-by-step explanation:

which set of side lengths form a right triangle ? 12 cm, 13 cm , 14 cm
9 cm , 15 cm , 18cm
7cm , 24 cm , 25 cm,
2 cm , 2 cm , 4cm

Answers

Answer:

12 cm ,13cm 14cm is the correct answer

Explain me how to get the answer plsss

Answers

348.1 replaces v

348.1 = 331.3 + 0.6T
subtract 331.3 from both sides

17 = 0.6T
Divide 0.6 from both sides
28.3 (rounded) = T

28 degrees Celsius is the closest answer

HELP!!!!! Question in picture!!!!

Answers

Answer:

x = 29

Step-by-step explanation:

We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:

6x + 6 = 180°

Subtract 6 from both sides:

6x = 174°

Divide by 6:

x = 29

The expenses E and income I for making and selling T-shirts with a
school logo are given by the equations E = 535 +4.50n and I = 12n,
where n is the number of T-shirts.

Expenses: Slope=
Y-Intercept =


income: Slope=
Y-Intercept

Answers

Answer: n = 71.333

Step-by-step explanation: E (n) = 535 + 4.50
I (n) = 12n
E = I
535 + 4.5n = 12n
7.5 n = 535
n = 71.333

Kathy bought a total of 60 cupcakes. Supreme cupcakes cost $12 each and regular cupcakes cost $3 each. She spent a total of $90. Which system of equations will determine the number of supreme (s) and regular (r) cupcakes that Kathy purchased?

Answers

Answer:

s + r = 60 and 12s + 3r = 90

Step-by-step explanation:

I just took the quiz and it said this is correct

Which of the following describes the fraction 2/5?
5 is the part, 2 is the whole, and the fraction is equivalent to 25%.
2 is the part, 5 is the whole, and the fraction is equivalent to 25%.
5 is the part, 2 is the whole, and the fraction is equivalent to 40%.
2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

Answers

2 is the part 5 is the whole, and fraction is equivalent to 40%

The correct description of the fraction 2/5 is,

⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

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 fraction is,

⇒ 2/5

Now, We can change into percent as;

⇒ 2/5 × 100%

⇒ 2 × 20%

⇒ 40%

Thus, The correct description of the fraction 2/5 is,

⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ3

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