you have 576 grams of radioactive kind of mercury. if its half-life is 64 hours,how much will be left after 256 hours?

Answers

Answer 1

Answer:

36 grams

Step-by-step explanation:

Amount of radioactive material = 576 gramsHalf-life = 64 hoursTime = 256 hours

Cycles of reduction:

256/64 = 4

Material will be left:

576*(1/2)^4 = 576*1/16 = 36 grams

Answer 2

Answer:

36 grams

Step-by-step explanation:

We have 576 grams of the mercury like substance.

Half of it's lifespan is 64 hours.

The time is 256 hours.

256 ÷ 64 = 4

Material will be left:

576 x [tex](1/2^{4} )[/tex]

576 x 1/16 =  36 grams


Related Questions

1 is 25% of what number

Answers

Answer: 4

Step-by-step explanation: 1/4 = 25% Hope This Helps

Jordan throws a ball from a cliff 12 feet above the ground with an initial velocity of 32 feet per second. In the following functions, h(t) represents the height of the ball above the ground, in feet, with respect to time, t, in seconds, after the ball was thrown. Which of the following functions models the amount of time the ball is in the air?

h(t)= -4(t-1)^2 +3
h(t)= -16(t-1)^2 -4
h(t)= -16(t-1)^2 +12
h(t)= -16(t-1)^2 +28

Answers

Answer:

Your answer will be the third function

Step-by-step explanation:

The base function you need to know is h(t)= 1/2at^2

Your acceleration in this problem is going to be gravity which they give to you, 32 feet per second squared. Since the ball is falling, it means it will have negative acceleration. Now you have the equation h(t)= -16t^2. The final step is to add the initial height from which the ball was dropped giving you: h(t)= -16t^2 +12

What is the equation of this graphed line?

Answers

Answer:

Step-by-step explanation:

(-7 + 3)/(6 + 6) = -4/12 = -1/3

y + 3 = -1/3(x + 6)

y + 3 = -1/3x - 2

y = -1/3x - 5

The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute.
How does the rate for Printer B compare to the rate for Printer A? Use the drop-down menus to explain your answer.
Printer Rates
y
40
30
Printer A
Number of Pages
20
10
0
0
х
2 4 6
Time (min)
The rate for Printer Bis Choose..
the rate for Printer A because the rate of 25 pages per minute is choose...
the
rate of Choose
pages per minute for Printer A.

Answers

Answer:

printer A = 10 pages a min

Step-by-step explanation:

Graph the equation by plotting three points. If all three are correct, the line will appear 2y = 3x + 11​

Answers

Answer:

(-1,4), (-5,0), (3,10) I hope this helps.

What I did I reduced the equation and got y by itself. The new equation would be y=3/2x+11/2x. I started plugging in points. I put the equation on a graph and found those points on the graph.

3y+11 + 7x-30 = 5x+14

Answers

Answer:

2x + 3y = 33

Step-by-step explanation:

Hold on let me double check

HALP QUICKKKKK!!!
Giving 25 points for whoever answers soon

Answers

Answer:

b is the y-intercept

Step-by-step explanation:

B is the y-intercept of a line (where it intersects)



Hope this helped :)

Pls help its confuzing

Answers

Answer:

Step-by-step explanation:

x-int (2/7, 0)

y-int (0, -2)

x-int

7x - 0 = 2

7x = 2

x = 2/7

(2/7, 0)

7(0) - y = 2

-y = 2

y = -2

(0, -2)

A rectangular carpet measures 12 m by 5 m.
Part of the carpet is covered by a square rug of length 2 m.
What fraction of the carpet is covered by the rug? Give your answer in its simplest form.

Answers

I'm pretty sure the answer is 1/15 or 4/60 because the whole carpet measures 60m and the covered part's area is 4m and that would be 4/60 but simplified 1/15.  Sorry if this is wrong!

To find the fraction of the carpet covered by the rug, we need to determine the area of the rug and divide it by the total area of the carpet.

The area of the square rug can be calculated by squaring its side length: 2m x 2m = 4m². The total area of the rectangular carpet can be found by multiplying its length and width: [tex]12m x 5m = 60m²[/tex]. To find the fraction, divide the area of the rug by the area of the carpet: 4m² / 60m².

To simplify the fraction, we can find the greatest common divisor (GCD) of 4 and 60, which is 4. Dividing both the numerator and denominator by the GCD, we get: [tex]4m² ÷ 4 / 60m² ÷ 4 = 1m² / 15m²[/tex] . Therefore, the fraction of the carpet covered by the rug is 1/15, which means that 1/15th of the carpet is covered by the rug.

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What would the exponential equation be ?

Answers

Answer:

The equation of the exponential function will be:

[tex]f\:\left(x\right)\:=\:ab^x[/tex]

          [tex]=\:\frac{3}{2}\left(2\right)^x[/tex]

Step-by-step explanation:

Given the table

Day         Bacteria

1               3

2              6

3              12

4              24

5              48

as

the x values have the same increment i.e. +1

and

the y values have common ratio i.e. 6/3 = 2, 12/6=2, 24/12=2

so it is indeed an exponential function

As we know that the exponential function is of the form

[tex]f\:\left(x\right)\:=\:ab^x[/tex]

As we know that the y-intercept of [tex]f\:\left(x\right)\:=\:ab^x[/tex] is (0, a).

so

[tex]\frac{3}{a}=2[/tex]        ∵ common ratio = successor y-value ÷ previos y-value

[tex]a=\frac{3}{2}[/tex]

so the value of a will be: 3/2

We also know that the common factor i.e. multiplier is 2 in this table, we know the value for b is 2.

Therefore, the equation of the exponential function will be:

[tex]f\:\left(x\right)\:=\:ab^x[/tex]

          [tex]=\:\frac{3}{2}\left(2\right)^x[/tex]


Martin needs help being a better friend and remembering how old his friends are. He can't remember their ages but he knows how to find their ages. He knows that
Jennifer is three years less than twice his age. Sally is three years more than Martin. His friend, Gabby, is five years less than him.
Write an expression for Jennifer's, Sally's and Gabby's age, where x represents Martins age.
Jennifer:
Sally:
Gabby:

Answers

Answer:

well first of martin needs some help cus he cants remember anything

Step-by-step explanation:

he needs new friends and a new life.

what is 1+2?????????????????

Answers

Answer:

3

if a  is 1 more than b it can be expressed as so:

a=b+1

b+1=a

b^2+1=a^2

b^2=a^2-1

b=a-1

if b if 1 then a is 2

b+1=a

-a+b=-1

a-b=1

a=2, b=1

a=b+1

a+b=3

1+2=3

Step-by-step explanation:

If you earn $134 in 8 hours, how much do you earn per hour?

Answers

Answer:

1.75

Step-by-step explanation:

because you divided the money you earned by how much time you worked

Answer:

Hey there if you earn $134 in 8 hours then you make 16.75 an hour.

Step-by-step explanation:

The math is fairly simple all you do is 134/8= 16.75 to figure out the answer!

Hope this helps!! Please consider marking brainliest! Have a good one!!

The temperature is changing every day by negative 7 over 18 degree Fahrenheit. What will be the change in the temperature after 3 days?

Answers

Answer:

whhhhhhhhhhattttatttttttt

Answer:

look it up

Step-by-step explanation:

which of the following equationa apply to line below
a- y=-4x-6
b -y-2=-4(x+2)
c-y+3=-4(x+6)
d-Y-6=-4(x+3)​

Answers

Answer:

1+1=magelan

2plus2 lapulapu

Answer:

b and d

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 6) and (x₂, y₂ ) = (- 2, 2) ← 2 points on the line

m = [tex]\frac{2-6}{-2+3}[/tex] = - 4

Using (a, b ) = (- 3, 6 ), then

y - 6 = - 4(x - (- 3)), that is

y - 6 = - 4(x + 3) → d

Using (a, b ) = (- 2, 2 ), then

y - 2 = - 4(x - (- 2)) , that is

y - 2 = - 4(x + 2) →b

Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

50,000 * 60%= 30,000

If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,

We have to find the amount Sandy has to spend on expenses,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The amount spend on the expenses is,

Expenses = 60% of the salary

Expenses =60/100 × $50000

Expenses = 30,000

Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

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i need help please.

Which of the following expressions are equivalent to 7x + 14 − 3x + 12?


1. 21x + 8x

2. 7x − 3x + 14 + 12

3. 4x + 14 + 12

4. 4x − 2

5. 7x + 26 − 3x

Answers

answer is #3
add up all the x’s

Answer:

I just did this quetio with the tutor the answers are 2, 3, and 5.

Given the endpoint x(11,-2) and the midpoint (4,3) find the missing endpoint y. Write answer as order pair.

Answers

9514 1404 393

Answer:

  (-3, 8)

Step-by-step explanation:

For m the midpoint of xy, we have ...

  m = (x+y)/2   ⇒   y = 2m-x

  y = 2(4, 3) -(11, -2) = (2·4 -11, 2·3 +2)

  y = (-3, 8)

How would you write 10 DIVIDED BY A NUMBER as an algebraic expression?
b / 10
10 / 10
10 / b
which one?

Answers

Answer: C

Step-by-step explanation: 10/b

10/b is the answer

say thanks in the chat

60 8th grade students chose to watch a movie on the last day of school. this is 20% of the class. how many students are there in 8th grade?

Answers

Answer:

the answer is 300 8th grade students

Step-by-step explanation:

Which of the following expressions cannot be written as an integer?

Square 49
-3^0
1.2x10^-2
18/3

Answers

Answer:

18/3 cannot be written as an integer

1.2x10^-2 cannot be written as an integer.

Allow me to write the other three choices as integers.

Square 49 or square root of 49( I am not sure which you meant but both can be written as an integer)

Square root of 49 = 7
49 squared = 2401

-3^0 = 1

18/3 = 6

All these solutions are integers except the remaining solution.

Help(Worth 20 Points)


I start by multiplying -4 by 3. I then multiply the answer by 2. Then, I take the negation of the result. What number do I get at the end?

Answers

Answer:

24

Step-by-step explanation:

1.-12

2.-12×2=-24

3.24

Answer:

-24

Step-by-step explanation:

-4 times 3 is -12 then times that by 2 is -24

Which of the following is equivalent to (5x^2)(4x^3)

Answers

Answer:

20x^5

Step-by-step explanation:

You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5

?can someone help meh

Answers

Answer:

Step-by-step explanation:

C

The price of a flight was increased by 3% to £650. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

269

Step-by-step explanation:

Caroline's family took a road trip to the Grand Canyon. Caroline fell asleep 58% of the way through the trip. If Caroline fell asleep after they had travelled 348 miles, what was the total length of the trip?

Answers

Answer:600 miles

Step-by-step explanation:

Hello!  

So you know that 348 miles is equal to 58% so you want to figure out what 1% of the total trip is

348 / 58 = 6

You know that 1% of the trip is 6 miles so now to figure out what the total trip is you multiply 6 by 100

6 * 100 = 600

So you know that the total length of the trip is 600 miles long.

Solve the equation 5x+9=1

Answers

Answer:

x = -1.6

Step-by-step explanation:

Original equation:

5x + 9 = 1

Subtract 9 from both sides

5x = -8

Divide both sides by 5

x = -1.6

Hope this helps :)

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A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

Answers

Answer:

Cost of one shirt = $ 30

Step-by-step explanation:

Let cost of 1 shirt = s

Cost of 1 hat  = h

A shopper bought 6 shirts and 8 hats for $700.

6s + 8h = 700      -------------------(I)

A shopper bought 9 shirts and 6 hats for $660

9s + 6h = 660    -----------------(II)

Multiply equation (I) with 9 and multiply equation (II) with (-6) and then add. SO, now 's' will be eliminated and we can find the value of 'h'

(I) * 9                54s + 72h  = 6300

(II)*(-6)            -54s  - 36h = - 3960   {Now add}

                                 36h = 2340

                                     h = 2340/36

                                     h = 65

Cost of one hat  =  $ 65

Substitute h = 65 in equation (I)

6s + 8 * 65 = 700

6s  + 520   = 700

            6s = 700 - 520

            6s = 180

               s = 180/6

               s = 30

Cost of one shirt = $ 30

Answer: One shirt is $30

Step-by-step explanation: Have a great day

Whats the answer I will give brainliest, thanks, and five star

Answers

Answer:

B

Step-by-step explanation:

the one you have selected is correct

Is a repeating decimal a rational number
A. Yes because it can be written as a/b and a and b are integers and b =0
B. Yes because it can be written in the form a•b where a and b are integers

Answers

Answer:

Option A

Step-by-step explanation:

The answer to this question is option A or "Yes because it can be written as a/b and a and b are integers and b =0." Any number that can be written as a fraction is a rational number. In this case repeating decimals can be written as a fraction using different types of algebraic methods making it a rational number.

Hope this helps.

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