The half-life of cesium-137 is 30 years. Suppose we have a 170-mg sample. What is the rate of decay after 150 years? (Round your answer to three decimal places.)

Answers

Answer 1

Answer:

5.313mg

Step-by-step explanation:

The half-life of cesium-137 is 30 years. Suppose we have a 170-mg sample. What is the rate of decay after 150 years? (Round your answer to three decimal places.)

Half life formula

= N(t) = No(1/2)^t/t½

N(t) = Amount after t years

No = Initial amount

t = time

t½ = half life

N(t) = 170 (1/2) ^150/30

N(t) = 170 × (1/2)^5

N(t) = 5.3125mg

Approximately the quantity left after t years = 5.313mg


Related Questions

Please Help Me I will mark brainliest

Answers

The answer is 0 I think

Answer:

This is what I think it is but im no good at this so sorry if it is wrong. XP

Step-by-step explanation:

y=4/7x

y*7= 4/7*7x

y*7=4x

7y/4x = 4x/4x

7y/4x=0

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Please help! I need to hand this in 20 minutes!

Answers

x=36

hope this helped ;)

Can anyone answer this Algebra 2 problem? Thank you in advance!

Answers

Answer:

a i think

Step-by-step explanation:

Hich statements about the function f are true? Check all that apply. The domain of f(x) is {all real numbers}. The range of f(x) is {all real numbers}. The domain of f(x) is {x| x > 0}. The range of f(x) is {y| y > 0}. f(2) = 4 f(2) = 2(x + 3)

Answers

Answer:

A. The domain of f(x) is {all real numbers}.

B. The range of f(x) is {all real numbers}

E. f(2) = 4

Explanation

Find the graph attached.

The domain of a function is the value of the input variable x for which the function f(x) exists. Given the function

f(x) = 1/2 x + 3

The function will exist on all values of x (either positive or negative).

The domain can be said to exist on all real values. If you look at the graph, we will see that the line tends to both negative infinity and positive infinity. Hence the domain can be represented according to the set notation:

DOMAIN: (-∞, ∞)

The range is the set of output value y for all input variable x. The output value y will also exist on all real values because, no matter the value of x imputed in the function, we will always get a finite value as the output. Hence the range of the function is denoted by the set notation:

RANGE:  (-∞, ∞)

Next is to get f(2).

To get f(2), we will set the input value as 2 and calculate for the output value as shown:

f(2) = 1/2(2) + 3

f(2) = 1+3

f(2) = 4

Hence the following are true of the function:

The domain of f(x) is {all real numbers}.

- The range of f(x) is {all real numbers}

- f(2) = 4

please help this due at 3:00
The Miami Heat scored 79 points. This was 13 points less than the Chicago Bulls. How many points did the Chicago Bulls score?

Write an equation and solve.

Answers

Answer:

92

Step-by-step explanation:

Miami scored 79 points which was 13 LESS than Chicago.

So, Miami = Chicago - 13, (change Miami to their score)

79 = Chicago - 13 (add 13 to both sides to isolate Chicago and find answer)

92 = Chicago

Equation: 79 = Chicago - 13

Estimate the value of the
13
by plotting it on the number line.
Show Your Work

Answers

Answer:

098765

Step-by-step explanation:

h(x) = 17 + x/6 h(-18) =

Answers

Answer:

can we explain it

Step-by-step explanation:

Find the value of x
A.21
B.27
C.31
D.34

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]3x + 1 = 64[/tex]

Subtract sides 1

[tex]3x + 1 - 1 = 64 - 1[/tex]

[tex]3x = 63[/tex]

Divide sides by

[tex] \frac{3}{3} x = \frac{63}{3} \\ [/tex]

[tex]x = 21[/tex]

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Thus the correct answer is (( A )) .

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what's the parallel line to y=2x-3 that passes through (2,8)

Answers

Answer:

Step-by-step explanation:

did you try asking your teacher for help

Answer:

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

y − y1 = m(x−x1) to find the line parallel to y=2x − 3.y = 2x+4

Hope this help

Last season the Blue Jay's won 8 out of 12 games. Next season they will only play 9 games. How many will they
likely win, based on last year's season?

Answers

Answer:

Step-by-step explanation:

4

Answer:

They will most likely win 6 games.

Step-by-step explanation:

8/12= 2/3

2/3=6/9

Hope this helps!

what is the answer to 2n-8= -26

Answers

26 is the correct answer

Four plus a number y is greater than 10

Answers

Answer:

y+4 _<_ 10

Step-by-step explanation:

Answer:

4+y>10

Step-by-step explanation:

Pls give Brainliest!

in triangle DEF, the measure of angle Eis 30 and the measure of angle F is 45. What is the measure of angle D?

Answers

Answer:

angke D = 105°

Step-by-step explanation:

All triangles add up to 180°. 30+45=75 180-75=105

In triangle DEF, the measure of angle D is 105°.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle DEF,

Value of ∠ E = 30°, ∠ F = 45°.

Let the value of ∠ D  is x°.

Since, the sum of the angles of a triangle is 180°.

Apply this property in triangle DEF,

30 + 45 + x = 180

75 + x = 180

x = 180 - 75

x = 105

The value of ∠ D is 105°.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

A population of bears is decreasing the population this year is 200 bears after 1 year it is estimated that the population will be 160 bears after 2 years it is estimated that the population will be 128 bears what equation describes the bear population in any year x?

Answers

Answer:

The equation is;

y = 200•0.8^x

where y is the number of bears remaining and x is the year number in particular

Step-by-step explanation:

Let us have the rate of decrease as r and we set up an exponential equation

y = I• ( 1 - r)^x

where r is the percentage decrease, I is the initial population = 200 and x is the number of years

For the population after 1 year, we have;

160 = 200( 1 -r)^x

divide both sides by 200

0.8 = (1-r)^1

0.8 = 1 - r

r = 1 - 0.8

r = 0.2

So the equation will be;

y = 200( 1 - 0.2)^x

y = 200•0.8^x

WHAT IS THE ANSWER PLZ HELP

WILL GIVE BRAINLIEST FOR CORRECT ANSWER!

Answers

B is the answer. always look for the characteristics of a parallelogram. maybe that will help

A certain brand of laundry detergent comes in two sizes. The smaller size is 24 oz and cost $3.99. The larger size is 64 oz and cost $6.99. Which has the lower unit cost?

Answers

Given:

The smaller size is 24 oz and cost $3.99.

The larger size is 64 oz and cost $6.99.

To find:

Which has the lower unit cost?

Solution:

The formula for unit cost is

[tex]\text{Unit cost}=\dfrac{\text{Total cost}}{\text{Quantity}}[/tex]

The unit cost of smaller size is

[tex]\text{Unit cost of smaller size}=\dfrac{3.99}{24}[/tex]

[tex]\text{Unit cost of smaller size}=0.16625[/tex]

The unit cost of larger size is

[tex]\text{Unit cost of larger size}=\dfrac{6.99}{64}[/tex]

[tex]\text{Unit cost of larger size}=0.10922[/tex]

It is clear that, 0.10922 is less than 0.16625.

Therefore, the unit cost of larger size is lower.

The temperature of liquid in an experiment starts at 0*C. The experiment calls for the temperature of the liquid to change at a rate of -0.60*C per minute. How long will it take for the liquid to reach -10.5*C

Answers

Answer:

The liquid will take 17.5 minutes to reach -10.5 ºC.

Step-by-step explanation:

From this statement we understand that the temperature of liquid is increased at constant rate in time, whose model is described by:

[tex]T (t) = \dot r \cdot t + T_{o}[/tex] (Eq. 1)

Where:

[tex]T[/tex] - Temperature of the liquid, measured in degrees Celsius.

[tex]\dot r[/tex] - Heating rate, measured in degrees Celsius per minute.

[tex]t[/tex] - Time, measured in minutes.

[tex]T_{o}[/tex] - Initial temperature, measured in degrees Celsius.

If we know that  [tex]\dot r = -0.60\,\frac{^{\circ}C}{min}[/tex] and [tex]T_{o} = 0\,^{\circ}C[/tex], the temperature model for the liquid is:

[tex]T(t) = -0.60\cdot t[/tex] (Eq. 2)

In addition, if [tex]T(t) = -10.5\,^{\circ}C[/tex], then time taken for the liquid to reach that temperature is:

[tex]t = \frac{-10.5}{-0.60}[/tex]

[tex]t = 17.5\,min[/tex]

The liquid will take 17.5 minutes to reach -10.5 ºC.

A rock climber that is 0.74 miles above sea level ascends 0.18 mile and then descends 0.8 mile. Which represents the location of the rock climber compared to sea level?

Answers

Answer:

did joe go do so do go go r school find dumb soon

what is the slope? ​

Answers

Answer:

The slope is -1.333.

Step-by-step explanation:

A bottle of water is 2/3
full. You drink 1/4 of the water
You drink (blank)
of the bottle.

Answers

Answer:

0.4166666666666666666666666666666666666666666666666666666666666666

Step-by-step explanation:

2/3 - 1/4 = 5/12

Simplify the following:

2/3 - 1/4

Hint: | Put the fractions in 2/3 - 1/4 over a common denominator.

Put 2/3 - 1/4 over the common denominator 12. 2/3 - 1/4 = (4×2)/12 - 3/12:

(4×2)/12 - 3/12

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8/12 - 3/12

Hint: | Subtract the fractions over a common denominator to a single fraction.

8/12 - 3/12 = (8 - 3)/12:

(8 - 3)/12

Hint: | Subtract 3 from 8.

8 - 3 = 5:

Answer: 5/12

Convert 5/12 to decimal = 0.4166666666666666666666666666666666666666666666666666666666666666

Answer: 5/12

Step-by-step explanation:

2/3 - 1/4 (multiply {2 x 4} {3 x 4} & {1 x 3})8/12 - 3/12 (solve as normal)8 - 3 = 5 DON’T CHANGE THE 12!5/12

In the figure below, lines m and n are parallel.
what is the measure of
A. 20
B. 35
C. 40
D. 15

HELP i’ll mark brainlist !!!

Answers

The answer is B for sure

In a certain triangle, the longest side is 1 foot longer than the second longest
side, and the second longest side is 1 foot longer than the shortest side. If the
perimeter is 21 feet, how many feet long is the shortest side?*

Answers

Answer:

This means that the isotope of silicon with a mass number of 28 is by far the most common of these three isotopes.

Explanation:

The abundance of Si-28 is 92.23%. Si-29 is 4.68% and Si-30 is 3.09%.

60 students
Solve for v in this equation:
3 teachers
15 teachers

Answers

Answer:

V would be equivalent to 300 students

Step-by-step explanation:

Noting that 3 teachers already have 60 students

If we're given 15 teachers, try dividing it by the 3 teachers that we originally have.

15/3 would be 5

We would now proceed to multiply the 60 students by 5 for the total amount of students with 15 teachers.

60*5 would be 300

Your answer should be 300 students.

How much does Jill have in liquid assets if her car is worth $4,500 and she has $1,110 in a savings account and $532 in her checking account?

Answers

The correct answer is 2858.

what is the rate of 60 pounds for 6$​

Answers

Answer:

10 lbs per dollar

Step-by-step explanation:

if you divide each one by 6 then you get 10 pounds for $1

10 dollars per pound

Can someone help me please if you don’t know the answer or think you might know please don’t answer.

Answers

Answer:

c

Step-by-step explanation:

Answer
C
It’s complicated

what is the product? -0.91 × 0.4 enter your answer as a decimal​

Answers

Answer: -0.364

Step-by-step explanation:

Answer:

-0.364

Step-by-step explanation:

(-)x(+)= (-)

multiply and add sign

Solve the quadratic equation by factoring
x^2-10x=11

Answers

Answer:

(x+11)(x-1)

Step-by-step explanation:

Answer:

x = 11, and x = -1

Step-by-step explanation:

X^2 - 10x -11 =0

(x - 11) (x +1 ) = 0

x = 11, -1

I really need help this has to be done by 9 o clock pm

Answers

Number 1 will be b=c is alternate after c=a is corresponding (parallel) then you do sum of all triangle and join
C + E + D = 180
28+ E + 42 = 180
E + 70= 180
E = 180-70
E = 110
Sum of all triangle is 110
And write all the needed words according to what you are taught
I guess the question is asking this
B=C
C=A
E= 110

Two added to three times a number m is the same as 18.

Answers

Answer:

if the question is asking for m, its 16/3

Step-by-step explanation:

3m+2=18

3m=16

m=16/3

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