How much radioactive kind of europium will be left after 39 years if the half life is 13 years and you start with 1216 grams

Answers

Answer 1

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1216\\ t=\textit{elapsed time}\dotfill &39\\ h=\textit{half-life}\dotfill &13 \end{cases} \\\\\\ A=1216\left( \frac{1}{2} \right)^{\frac{39}{13}}\implies A=1216\left( \frac{1}{2} \right)^3\implies A=152[/tex]


Related Questions

Last year, students planted 8 tomato plants and 16 pepper plants in a school
garden. This year, the students planted 15 tomato plants. They want to have the
same ratio of tomato plants to pepper plants as last year. Pepper plants cost
$4.33 each. What is the cost, in dollars, of the pepper plants for this year's garden

Answers

From the ratio gotten, the total cost of the pepper will be $129.90.

How to solve a ratio

Since the students planted 8 tomato plants and 16 pepper plants in a school garden. The ratio will be:

= 8/16 = 1:2

This year, the students planted 15 tomato plants, the number of pepper will be:

= 15 × 2 = 30

Since pepper plants cost $4.33 each, the total cost will be:

= 30 × $4.33

= $129.90

Learn more about ratios on:

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Inference: All _______ postulates and theorems prove ______.

Answers

Answer:

All conjecture postulates and theorems prove a logical argument.

This is my opinion

Step-by-step explanation:

All conjectures postulates and theorems prove logical satisfaction or argument.

Theorems are the basics of mathematics.

They are verified multiple times in past.

They are certified by all famous mathematicians of world.

Some famous theorems are

Pythagorean theoremThales theorem

The width of a rectangle is six meters less than the length. The perimeter is 56 meters. Find the length and width (in meters)

Answers

18 times 2 is 36
18-6 is 12 you take away 6 because the width is 6 less then the length
12 times 2 is 24
36 + 24=56
therefore the length is 18 and the width is 12

Divide and write the fraction or mixed number in its simplest form 1/4 divide 3/8 =

Answers

Answer:

2/3

Step-by-step explanation:

1/4 can also be represented as 2/8

2/8 divided by 3/8

= 2/3

I need help with this please

Answers

Answer:

This alot but ill help you with 2 of them to learn em

Step-by-step explanation:

1) 2x^2 +5 =167

Subtract the 5 from both sides to get the equation 2x² = 162

Then divide the 2 from both sides to get x² = 81, Then square root from both sides to get x= 9

6) 2(2y +4)²=72

Divide 2 from both sides to get (2y+4)²=36

Then square root that to get 2y+4 = 6

subtract 4 from both sides to get 2y =2

Then divide both sides from 2. Y=2

Please help me I really need this

Answers

Answer:

Step-by-step explanation:

Draw a horizontal line at the end of the 8 meter horizontal line.

Find the area of the horizontal rectangle

L = 8 + 3

W = 2

Area = L*w

Area = 11*2

area = 22 m^2

Now do the vertical rectangle

L = 8

w = 3

Area = L*w

Area = 8 * 3

Area = 24 m^2

Total Area = 24 + 22 = 46 m^2

what is 5 less than the product of 10 and c?

Answers

Hi, the equation you typed is 10c-5

less than is subtraction and the product of two numbers is multiplying them together.

Part 22. NO LINKS!!!! What is the area of this figure?​

Answers

Answer:

479 yd²

Step-by-step explanation:

To solve this question, I have divided the shape into squares and rectangles. Then, I found out the area of each square and rectangle. Lastly, I added up all the areas and found the area of the shape. Please consider looking at the picture uploaded to understand better.

When looking at the picture, we can say that the area is 55 + 120 + 304.

=> 55 + 120 + 304=> 175 + 304=> 479 yd²

Hence, the area of the shape is 479 yd².

Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. After considering the decimal placement, what is Charlie’s final answer?
0.0045
0.045
0.45
0.4545

Answers

Answer:

You would get .0045 ,The decimal point would move 4 places to the left

Answer: 0.0045

Step-by-step explanation:

What percent of 300 is 2 1/2

Enter your percent as a fraction in simplest form by filling in the boxes

Answers

7.5% sirrrrrrrrrrrrrrrr

Answer:

the answer is 5/6

Step-by-step explanation:

I just used the formula I'll find the link for and a video to help me answer my question when I was taking the test. Sorry my explanation couldn't be of greater help! I 2 looked up the question but couldn't find the correct answer so I did my research that I'll post the links for.

Two fractions have a common denominator of 8. What could the two fractions be?​

Answers

Answer:

Ex: 5/8 and 3/8

Step-by-step explanation:

It could be any fraction as long as there is a number over 8.
For example, 5/8 and 3/8 would work.


I hope this helped and please mark me as brainliest!

1/8 and 3/8
Anything pair that has 8 as their denominator or can be simplified to 8

PLEASEE HELP WILL GIVE BRAINLIEST

Answers

D. The correct answer is (4,2) if you do the work it will be right

What is the length of the missing side if given the area of 11 square meters?

Answers

Answer:

the answer is use a app called m4thw4y  its a great way to get all of your math right

Please help and i will give 200 points next time NEED A ANSWER FAST

Answers

Answer:

I gotchu the answer is 47

the answer is 47 by dividing 12 and 141 which is 11.75 then multiply that by 4 and get 47

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2064 pounds. When carrying 45 gallons of fuel, it weighs 2288 pounds. How much does the airplane weigh if it is carrying 60 gallons of fuel?

Answers

Answer:

Now, to answer the question, we need to add the weight of (58-42) = 16 gallons of fuel to the weight of the plane

carrying 42 gallons of fuel, 2331 pounds.

So, the answer is 2331 + 16*5.5 = 2419 pounds.

The probability of winning the 2010 Megamillions lottery was about 0.0000000057. Write the number in scientific notation.

Answers

Answer:

5.7 × 10^-9

Step-by-step explanation:

decimal point is 9 spots to the left that's why it's 10^-9

The total current of a parallel circuit is 9+j2 amps and the current of one component of the circuit is 3−j5 amps. What is the current of the other component of the circuit?

Answers

Apply law of total resistance in parallel circuit

[tex]\\ \tt\hookrightarrow \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{9+2J}=\dfrac{1}{3-5j}+\dfrac{1}{R_2}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{1}{9+2J}-\dfrac{1}{3-5J}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{3-5J-9-2J}{(9+2J)(3-5J)}[/tex]

[tex]\\ \tt\hookrightarrow R_2=\dfrac{(9+2J)(3-5J)}{-6-7J}[/tex]

to calculate 587 ÷ 1,000, how many decimal points to the left should the decimal in 587 move?

Answers

Answer:

3 decimal points

Step-by-step explanation:

The trick here is to count the zeros.

What number equals 100 when it’s squared ?

Answers

10 squared = 100
10*10=100

Hi there!

Remember, squared means multiplied by itself.

So, what number multiplied times itself gives us 100?

The answer is: 10.

10 times 10 (10 squared) equals 10.

Hope it helps.

~Just a cheerful teen who helps others

#HaveAGreatDay

[tex]\bf{-MistySparkles^**^*[/tex]

does anyone know where y=x-8 is on a graph lol​

Answers

first you go to -8 on the y intersept, next you go up 1 and move 1 to the right

joe has a handful of dimes and quarters that values to $5.30. He has one fewer than twice as many dimes than quarters. How many of each coin does he have?

Answers

Answer:

12 quarters 23 dimes

Step-by-step explanation:

x(0.25)+(2x-1)(0.10)=5.30

0.25x+0.2x-0.10=5.30

0.45x=5.40

x=12

12 quarters

12(2)=24-1=23 dimes

Joe has 12 quarters coins and 23 dimes coins .

What is equation ?

Equation is a combination of mathematical variables, in which two mathematical expressions are equal.

Let the number of quarters be n,

Therefore the number of dimes will be 2n-1.

Given that,

The total value of dimes and quarters is $5.30.

Write above text in equation form.

(0.25)n+(0.10)(2n-1)=5.30

0.25n+0.20n-0.10=5.30

.45n=5.40

n=12

And 2n-1=23

Means Joe has 12 quarters coin and 23 dimes coins .

To know more on Equation.

https://brainly.com/question/187506

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How do I solve the equation:
-3x + 2 (x + 3) = 6

Answers

Answer:

x = 0

Step-by-step explanation:

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

-3x + 2x + 6 = 6

-x = 6 - 6

x = 0

Hope this helps!

Answer:

x=0

Step-by-step explanation:

step 1. -3x+2(x) +2(3)=6

-3x+2x+6=6

step 2. -x+6=6

step 3. -x+6-6= 6-6

 step 4. x=0

This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
А
B
C D
F
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of A, B, or C.
p = [?]
Enter a decimal rounded to the nearest hundredth.

Answers

Answer:

0.714

Step-by-step explanation:

P(A or B or C) = P(A) + P(B) + P(C)

=(5/35)+(10/35)+(15/35)

=25/35

=0.714

Probability that a student earns a grade of A, B, or C is equals to 0.86.

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Given,

Total number of students = 35

Number of students getting grade A = 5

Number of students getting grade B = 10

Number of students getting grade C = 15

Substitute the value in the formula of probability we get,

P(A or B or C) = P(A) + P(B) + P(C)

                      = [tex]\frac{5}{35} +\frac{10}{35} +\frac{15}{35}[/tex]

                      = [tex]\frac{30}{35}[/tex]

                      = 0.8571

                      = 0.86 (decimal rounded to the nearest hundredth)

Hence, probability that a student earns a grade of A, B, or C is equals to 0.86.

Learn more about probability here

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HELP!!!!!!!!!!!! PLZZZZZZZZ!!!!!!!!!!!!!!!!!

Answers

Answer:

5x4=20 so, 2x10 also equals 20

Step-by-step explanation:

HELP ASAP!!!!!!!!!!!!!
The sale price of a pair of pants is $20. This sale price is 80% of the original price.

What was the original price?

Enter your answer in the box.

Answers

Answer:

25

Step-by-step explanation:

I took the 2.04 Quiz: Percent Tables quiz on k12

the answer is 25

2.04 Quiz: Percent Tables

Marley had $495.66 in her bank account after she paid her monthly bills. She took her sister out to lunch, and paid $38.90. How much money does she have now?

Answers

Answer: the answer is $456.76

Step-by-step explanation: All you have to do is subtract 38.90 from 495.66 and get your answer

Jennifer's school is selling tickets to a chorus concert. On the first day of ticket
sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38.
On the second day of ticket sales, the school sold another 3 senior citizen tickets
and 2 child tickets for $52.

Answers

Answer:

senior: $8child: $14

Step-by-step explanation:

The given price relations allow us to write two equations involving the prices of the tickets. Those can be solved to find ticket prices.

Let s and c represent the prices of senior and child tickets respectively. Then the described sales can be written as ...

  3s +c = 38 . . . . first day's sales

  3s +2c = 52 . . . second day's sales

__

Subtracting the first equation from the second eliminates the s variable and gives the price of a child ticket:

  (3s +2c) -(3s +c) = (52) -(38)

  c = 14 . . . . . simplify

Then the price of a senior citizen ticket can be found using the first equation:

  3s +14 = 38 . . . . . substitute for c

  3s = 24 . . . . . . . subtract 14

  s = 8 . . . . . . . divide by 3

The price of a senior citizen ticket is $8; the price of a child ticket is $14.

What is the value of X in the equation

Answers

Answer:

X = 5 1/6 + 3/4 = 71/12


described below.
raise v to the 5th power, then find the difference of the result and 2
Do not simplify any part of the expression.

Answers

Answer:

2x2x2x2x2, 32

Step-by-step explanation:

Basically just multiplying 2 by itself 5 times.

2x2=4

2x2x2=8

2x2x2x2=16

2x2x2x2x2=32

Verify that each equation is an identity.

Show Work plzz!!

Answers

Answer:

Step-by-step explanation:

sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x

[tex]\frac{cos^2x}{cos^2x}[/tex] = 1

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