How much of a radioactive kind of antimony will be left after 120 days if you start with 904 grams and the half-life is 60 days?​

Answers

Answer 1
Answer:  226 grams

==========================================

Explanation:

1/2 = 0.5

Every 60 days, the amount cuts in half.

We start with 904 grams and after 60 days, we have 904*0.5 = 452 grams left over.

After another 60 days, we have 452*0.5 = 226 grams left over.

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

Alternative Method:

We can apply the half-life formula.

y = a*(0.5)^(x/H)

where,

y = final amount after x daysa = initial amountx = number of days that elapseH = number of days in a half-life

In this case,

a = 904 is the starting amountH = 60 is the number of days until another half-life occurs

When x = 120 days go by, we have....

y = a*(0.5)^(x/H)

y = 904*(0.5)^(x/60)

y = 904*(0.5)^(120/60)

y = 904*(0.5)^(2)

y = 904*(0.25)

y = 226 grams of antimony left over.

This method is preferred over the first method if you have x be some non-multiple of 60, or if x is fairly large.


Related Questions

teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8

A.20%
B.12%
C.60%
D.72%​

Answers

20 o/o fndjdndbbbbbndndn

could you help me with this plz

Answers

Answer:

D. 797,481

Step-by-step explanation:

So, with the number 653,841, the number that is in the hundreds place is 8, meaning that the number is 800. So now, since you have to find 1/10 of the value, you have to divid it by 10, giving you 80. Now, looking at the answers, you have to find the number with 8 in the tens place, which is D.

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.

Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5

Answers

Answer:

C is the answer

they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.

Step-by-step explanation:

I hope this helps :))

I don't really get how to do this​

Answers

Answer:

you got to put them in order like you got to figure out witch one is smaller then u keep going until u figure out the bigest.....

Step-by-step explanation:

Answer:

15.5, 16 and 1/4, 16.60, 16.7, 16 and 3/4, and 16.83.

Step-by-step explanation:

Hope it helps!

marys age is 2 upon 3 that of peters age. two years ago marys age was 1 upon 2 of whats peters age will be in 5years time. how old is peter now plzz

Answers

Answer:

the Peter age be 27

Step-by-step explanation:

Let assume peter be

And, then mary is 2p ÷ 3

So

The equation would be  

2p ÷ 3  - 2 = 1 ÷ 2 (p + 5)

4p - 12 = 3p + 15

p = 27

So Peter age be 27

And, the mary age is

= 2 (27) ÷ 3

= 18

Hence, the Peter age be 27

Which expression is modeled by this arrangement of tiles?

30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30

Answers

Answer:

30

Step-by-step explanation:

alot of 3's

Answer:

Its letter C have a good day :)

Step-by-step explanation:

Witch pair of lines are perpendicular
A) y= 4x - 6
y= 4x + 11
B) y= -4x - 6
y= 4x + 11
C). y= 1/4x - 6
y= 4x + 11
D). y= -1/4x - 6
y= 4x + 11

Answers

Answer:

Step-by-step explanation:

Number 8 I need help plz

Answers

the answer to number 8 is b
The answer should be b

ovided line. (1 pt. each)
9.)Write 4x - 2y = -6 in function form
A) y = 3x + 2
B) y = 2x - 3
C) y = 2x + 3
Meeting now 16:47
D) -2y = -4x - 6

Answers

Answer:

The function form of the given equation

                        y   = 2 x + 3

Step-by-step explanation:

Explanation:-

Given   4x - 2y = -6

            4 x + 6 = 2 y

            [tex]y = \frac{4x}{2} + \frac{6}{2}[/tex]

          y   = 2 x + 3

The function form y = f(x)

The function form of the given equation

                        y   = 2 x + 3

☆15 points☆ select all that apply!​

Answers

The answers are D & C

A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9

Answers

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

A fertilizer covers 6 square feet in 2 hours. What is the unit rate?

Answers

The unit rate is 3 sq feet

What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units

Answers

Answer:

Step-by-step explanation:

3x3x3 is 46 than 46 _ 4 is 57

The answer is 27 units

What is the Volume of Rectangular Prism?

The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on.

Given here: The dimensions as 3,3,3

Thus the volume is = 3³

                                =27

Hence, The answer is 27 units

Learn more about prisms here:

https://brainly.com/question/29722724

#SPJ2

!!PLEASE ONLY ANSWER IF U ACTUALLY KNOW!! GRAPHING!!

Answers

Answer:

-3/5 rise over run left doen arenegative right up are positive

Answer:

I think -5/3.............

A Store charfes $0.20 per pound plus a set fee of $2 for ice.How many pounds of ice would somebody have brought if they paid $15

Answers

Answer:

65 pounds of ice

Step-by-step explanation:

15-2=13

13/0.2=65

What is the opposite of negative seven?

Answers

Answer: 7 is the opposite of negative 7

Step-by-step explanation:

Hope this helps :)

2x+5-x+10=1x-5+3x what does x=

Answers

The answer for x=20/3

Find the area of the rhombus.

Answers

Answer:

Area = 90

Equation:

See attached image for equation.

The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?

Answers

Answer:

$303.24

Step-by-step explanation:

399.00x24%=95.76

399.00÷95.76=303.24

At the craft store, Kenji bought a bag of brown and blue marbles. The bag contained 60 marbles, and 40% of them were brown. How many brown marbles did Kenji receive?​

Answers

Well 40% of 60 would be the same as 0.4 x 60 and that gives you 24, so there are 24 brown marbles.

Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!

Answers

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

how mini time does 7 go into 12

Answers

Answer:

Once!

Step-by-step explanation:

Cause 7 times 2 is 14 so it can't be 2.

I hope this helps and have a great day! :)

Answer:

1 Remindaer 5

Step-by-step explanation:

7 goes into 12 once, then subtract 7 and you get the remander which is five

Solve for p. i = prt

Answers

Answer:

p=i/rt

Step-by-step explanation:

its p= i over rt

The residents of a city voted on whether or not to raise property taxes. The ratio of yes votes to no votes was 4 to 3. If there were 1716 no votes, what was the total number of votes?

Answers

The answer would be 13,728 because you have to multiply 1716 by 3 and multiply 1716 by 4 and add them, then add 1716 and get 13,728.

Error Analysis A student incorrectly simplified the
expression below as shown in the image

Answers

Answer:

Put the a with the b

Step-by-step explanation:

two boys decided to share their profits from a car wash job at a ratio of 2:3 how much will each boy receieve if their total profit is 35

Answers

Answer: Profit for first boy =  $14

Profit for second boy =  $21

Step-by-step explanation:

Given : Ratio of profits = 2:3

Let profit for one boy = 2x and for another boy = 3x

Since combined profit = $35

Then, 2x+3x= 35

⇒ 5x= 35

⇒ x= 7  [divide both sides by 5]

Profit for first boy = 2 (7)= $14

Profit for second boy = 3 (7)= $21

Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....

Answers

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

HELP PLS FASTT IM ON A TEST AND I DONT EVEN GET THIS Gabriel has a card collection with 32 baseball cards 16 football cards and 24 by basketball cards he wants to arrange the cards in equal piles with only one type of car in each pile how many cards can you put in each pile

Answers

Answer:

16 cards.

Step-by-step explanation:

Answer:

Someone do the Question!!!  

Step-by-step explanation:

Please help due soon will give brainliest

Answers

(4,3) is the intersection (where the graphs meet

Answer:

The intersect point 4,3 H

Step-by-step explanation:

Hope this helps. Have a fantastic day!

Plz help me get the right answer

Answers

Answer:

- 13x² + 7x + 6

Step-by-step explanation:

- 4x² + 6 - (9x² - 7x) ← distribute by - 1

= - 4x² + 6 - 9x² + 7x ← collect like terms

= - 13x² + 7x + 6

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