Mathematics High School

The half-life of radioactive strontium-90 is 29 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 6% of the original amount absorbed remains?

Answers

Answer 1

Answer:

117.7 years

Step-by-step explanation:

We have half life formula,

A=P[tex](0.5)^{\frac{t}{d} }[/tex]

Where ''t'' is number of years

d is half life period.

We know d=29

Where A=6% =0.06

P= 100%=1

Plug in the known values into the formula.

0.06= 1[tex](0.5)^{\frac{t}{29} }[/tex]

Divide both sides by 1.

It gives,

0.06=[tex](0.5)^{\frac{t}{29} }[/tex]

Take log on both sides

log 0.06= [tex]\frac{t}{29}[/tex] log(0.5)

Divide both sides by log 0.5

4.05889 = [tex]\frac{t}{29}[/tex]

Multiply both sides 29

t =117.7079....

Approximately t= 117.7 years.

Related Questions

Transformations of Quadratic Functions

Answers

Answer:

picking my brain I see.... I might be wrong..... I havent done much of these yet

Step-by-step explanation:

I thinks its B) if im correct?

how can we get equation B from Equation A
A. 4x+2=6-x
B. 5x+2=6
question:
1) how can we get equation B from Equation A
2) based on the previous answer, are the equatikns equivalent? in other words, do they have the same solution?​

Answers

You can get from equation A to B by adding the x to both sides, therefore, the two equations are equivalent.

PLEASE HELP


Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -9.

Answers

Answer:

-9=x+-4

Step-by-step explanation:

Because the equation of the line is y=mx+b.

Charlie paid $39.25 for a cookbook he purchased from a book club. This was a saving of $3.19 off the regular price. What percent discount did the book club give Henry?

Answers

Answer:

The book club gave Henry a 8.13% discount.

Step-by-step explanation:

To determine the percent discount that the book club gave Henry given that you know the price of the cookbook and the amount of the discount, you can use a rule of three:

39.25 → 100%

  3.19 →    x

x=(3.19*100)/39.25

x=8.13%

According to this, the answer is that the book club gave Henry a 8.13% discount.

Where is the function decreasing?

Answers

Answer:

C- 1<x<4

Step-by-step explanatio

Answer:

i think its c

Step-by-step explanation:

I can't go to college if I don't know what I want to do for a career" is an example of a:
A. College truth
B. College myth
C. College reality
D. College fact

Answers

Answer:

i think c

Step-by-step explanation:

HELPPPP PLEASEEEEE I NEED ANANSWER ASAP

Answers

Because the denominator simplifies to 5-5 which means you divide by 0 which isn't possible
Because the bottom simply to 5-5 which is impossible and makes it 0

What is the perimeter of a triangle with sides
11 inches, 4 inches, and 12 inches in length?
11
4
12
А
25 inches
B
16 inches
15 inches
27 inches

Answers

Answer:

27 inches

Step-by-step explanation:

i think this is the answer

please answer asap! i need this as fast as possible

Answers

Answer:

Is 6.34 an option?

Step-by-step explanation:

If we are using PEMDAS, then we should solve the problems in the parentheses first ( (8-10), (-30-10), and 6 + 4 ), then multiply, ( 0.8(-1.6) ), then divide, ( 100/-40 and -1.6/10), and finally add to get the total.

Multiply.


8.6
×
7.3
=

Answers

62.78
Is the answer
Mark as brainliest

Pleaseee help me! 20 pts! Thank you so much!!

Find the equation of the line that passes through point (6,1) with the x-intercept of 2

y = - 1/4 x - 1/2
y = 1/4 x - 1/2
y = 1/4 x + 1/2
y = - 1/4 x + 1/2

Thank you for helping!!

Answers

Answer:

B

Step-by-step explanation:

If you plug in the ordered pair into all of the equations, option B is the only one that maintains the same value on both sides of the equal side.

The answer is b :))))))

For the function, f(x) = -3x + 5.If f(x) = -1, what is the value of x?
A.-5
B. 8
C. -3
D. 2

Answers

Answer:

[tex]\huge\boxed{D.\ x=2}[/tex]

Step-by-step explanation:

[tex]f(x)=-3x+5\\\\f(x)=-1[/tex]

substitute

[tex]-3x+5=-1[/tex]    subtract 5 to both sides

[tex]-3x+5-5=-1-5[/tex]

[tex]-3x=-6[/tex]        divide both sidesa by (-3)

[tex]\dfrac{-3x}{-3}=\dfrac{-6}{-3}\\\\x=2[/tex]

Answer:A

Step-by-step explanation:

What is a mathematical problem give an example then the solution

Answers

Well, a mathematical problem can be very diverse, let’s say “Pedro has 67 apples and Jean takes 7, how many apples does Juan have left?” And the answer would be 60 apples

I need help to Solve for v:

Answers

Answer:

v=15

Step-by-step explanation:

5(f+2) = 2(3-f)
I don’t quite understand this well our teacher is having us try new stuff and if possible would anyone be so kind as to teach me?

Answers

First off distribute so 5(f+2) is converted to 5f+10 and 2(3-f) into 6-2f after we get rid of the variable on one side so let’s add 2f to 5f+10 and we are left with 7f+10=6 now Subtract 10 from 6 and we get 7f=-4. Divide by 7 to get f by itself and the final answer is -1.75

PLZ Explain!!!
I don't understand
please help me
please

Answers

Answer:

x = 12

Step-by-step explanation:

Multiply 5/2 (1/10x). 5/2 * 1/10x = 1/4x

Equation:

4 - 1/4x = 1

Simplify into this:

3 = 1/4x

x = 12

Given g(x) = –x – 2, find g(-5).

Answers

Answer:

27 csfhcdzvg cvhvcbfgf

Jahan earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Jahan sold 32 new gym memberships. How much money did Krego earn last month?

Answers

Answer:

$2608.75

Step-by-step explanation:

given that Jane earn  $2,456.75 every month

and earns  $4.75 every time he sells a new gym membership

given the total number of membership is 32

let the total earnings be y

the number of membership be x

the model for her earning is

y= 2,456.75 +4.75x

substituting x=32 we have

y= 2,456.75 +4.75(32)

y=2,456.75 +152

y=2608.75

therefore she earned $2608.75

You have $8.00 to make copies. Each copy (x) costs $0.40. Solve the inequality that represents the number of copies you can make.

Answers

Answer:

8≥0.4x (You can make 20 or less copies)

Step-by-step explanation:

8≥0.4x

20≥x

Lindsey estimated the amount of liquid in a container to be 50 ml. The actual amount of liquid was 43 ml.

What is the percent error?

Round your answer to the nearest whole percent.

Enter your answer in the box.

Answers

Answer:

the answer is 16

Answer:16

Step-by-step explanation: im not sure to be honest

PLZ HELP MEMEMEMEMEMEMEMEMEMEMEME

Answers

Answer:

12/9

Step-by-step explanation:

4x3=12

3x3=9

12/9

Answer:

? = 9

Step-by-step explanation:

When doing a problem like this, you need to know that you are going to multiply a fraction equal to 1. (x/x)

Ask yourself: what times 4 equals 12? 3. So we know our fraction equal to 1 is 3/3

What is 3 times 3? 9. So our complete fraction is 12/9

To check: reduce the fraction:

12/9 divided by 3 is 4/3

Please mark brainliest, thank you!!

Answer please screenshot attached

Answers

Domain are -3 3 -1 -5
Range are 0 -7-6 -5 -1

Solve the equation: 3x –8 + 5x = 32

Answers

Answer: x=5

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

After 5 hours, Ernie had traveled 195 miles. If he travels at a constant speed, what was Ernie's speed in miles per hour?

Answers

Answer:

39 mph?

Step-by-step explanation:

I only  say this cause 5 divided by 195 equals 39. So yeh.

Answer: 39 miles per hour

Step-by-step explanation:

For this problem, we divide 195 by 5 because he drove 195 miles in 5 hours.

195 ÷ 5 = 39

The answer to the question is 39. Hope this helps!

бx - 5
2x +6?
2
Please help

Answers

Answer:

X=17/8

Step-by-step explanation:

Write the equation of a line in point slope form that passes through the point (5,9) and
has a slope of -3

Answers

Answer:

Write the point slope form of the equation of the line that passes through the points (5,-9).

---

slope = m = (1--9)/(-6-5) = 10/-11 = -10/11

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

Form:: y = mx + b

Solve for "b"::

-9 = (-10/11)5 + b

-------

Step-by-step explanation:

ur really pretty btw :p

Will someone answer my question please :( that’s the image to it^^
Ask for the full question if your willing to answer

Answers

Answer:

1. the slope of line shows how much each member pays )total amount) per class.

2. money payed

Step-by-step explanation:

1. slope shows how much (over time) gets payed, by the increasing of the slope.

2. since it doesn't start at the origin (0,0), that would he the membership fee, then the increasing amount is how much they pay each class.


Determine whether the sequence is arithmetic, geometric,
or neither.
2, 8, 32, 128, ...

Answers

Answer:

Step-by-step explanation:

The sequence is geometric

it can be defined as

[tex]S_n = a*b^n^-^1\\2 = ab^0\\8 = ab^1[/tex]

[tex]2 = a\\8 = 2*b\\b = 4\\S_n = 2(4)^n^-^1[/tex]

Adam has at most $60 to spend on shoes and socks. He finds a pair of shoes for $42. Socks cost $4 per pair. Write and solve and inequality to determine how many pairs of socks he could buy.

Answers

Answer:

42+4x<60

Step-by-step explanation:

Answer:

42+4x≤60

Step-by-step explanation:

CASH APP for the first person to get it right

Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1400 grams, how long would it be until the mass of the sample reached 800 grams, to the nearest tenth of a year?

Answers

Answer:

93.3

Step-by-step explanation:

You would divide the years by .5

and divide that answer by 30

Answer:

24.2

Step-by-step explanation:

$neonjumper

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