1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew11 [14]
3 years ago
8

The half-life of the isotope Osmium-183 is 12 hours. Choose the equation below that gives the remaining mass of Osmium-183 in gr

ams, M.
after n half-lives have elapsed if there was an initial mass of 590 grams before decay. Then, use the equation to determine the mass remaining
after 36 hours have passed
Mn = 590. ()": M3 – 148
D
M, = 590 C4)*-* : My ~ 148
Mn = 590 - ()": Mz - 74
Mi = 590 - (1) * + : Mz - 74
Mathematics
1 answer:
raketka [301]3 years ago
6 0

The given equations are incomprehensible, I'm afraid...

You're given that osmium-183 has a half-life of 12 hours, so for some initial mass <em>M</em>₀, the mass after 12 hours is half that:

1/2 <em>M</em>₀ = <em>M</em>₀ exp(12<em>k</em>)

for some decay constant <em>k</em>. Solve for this <em>k</em> :

1/2 = exp(12<em>k</em>)

ln(1/2) = 12<em>k</em>

<em>k</em> = 1/12 ln(1/2) = - ln(2)/12

Now for some starting mass <em>M</em>₀, the mass <em>M</em> remaining after time <em>t</em> is given by

<em>M</em> = <em>M</em>₀ exp(<em>kt </em>)

So if <em>M</em>₀ = 590 g and <em>t</em> = 36 h, plugging these into the equation with the previously determined value of <em>k</em> gives

<em>M</em> = 590 exp(36<em>k</em>) = 73.75

so 73.75 ≈ 74 g of Os-183 are left.

Alternatively, notice that the given time period of 36 hours is simply 3 times the half-life of 12 hours, so 1/2³ = 1/8 of the starting amount of Os-183 is left:

590/8 = 73.75 ≈ 74

You might be interested in
Can you guys please help!
yuradex [85]

Answer:

5 for the first and 4x for the second one also plz give heart

Step-by-step explanation:

i just know

4 0
3 years ago
If a rectangular prism with a length of 12 feet and width of 9 feet has a surface area of 930 square feet, find its height.
MaRussiya [10]

Answer:

17 feet

Step-by-step explanation:

A=2(wl+hl+hw)

5 0
3 years ago
Read 2 more answers
What would be a testable hypothesis for artwork from impressionist era france?
Alex777 [14]
The correct answer is: Proust Was a Neuroscientist<span> by Jonah Lehrer

Science ordinarily applies a reductionist approach. To structure a testable theory that could Additionally make faultlessly retested, simulated constructs would made. This is carried will permit clean analyses Also information about statistically huge correctness. However, the test will be we should constantly make what we’ve discovered et cetera check whether it fits Previously, with the bigger picture of how things worth of effort. Our particular social order regularly imitates this reductionist approach Concerning illustration it may be progressively disjointed, with accentuation on the need will practice. As a rule A large portion researchers don't completely appreciate, understand, alternately worth the human experience Also practically specialists don't completely appreciate, understand, alternately quality those rigors of the experimental technique. [I will concede on this continuum, i might fit additional under the experimental outlook battling on like craftsmanship. ] what i might have been laid open should for perusing Proust might have been An neuroscientist is how frequently all the Workmanship predated science. With watchful investigation under those reality of the human experience there may be extraordinary knowledge under mankind's nature, our senses, and the route our universe meets expectations. Mind blowing specialists intuited the thing that the researchers of the day didn't have confidence alternately Might not yet substantiate. With occasion when science need made up for lost time with the thing that symbolization recently knew, Be that i wonder how regularly this transaction of the two planets might have been acknowledged what's more entryway much speedier we Might have gotten here whether science seen art.
</span>
6 0
3 years ago
15 POINTS
Rashid [163]

A = (-4,2)

A' = (-2,-3)

A'' = (3,1)


8 0
3 years ago
Read 2 more answers
Equivalent to y-0.32y
larisa86 [58]
Y-0.32y  if you factor you would see:

y(1-0.32)

y(0.68) so

0.68y  or even 68y/100=17y/25  are equivalent....
3 0
3 years ago
Other questions:
  • 7/8 divided by 6 help me NOW please
    13·2 answers
  • What is 373827+3562828
    12·2 answers
  • 6rs — 7bc (-) 9rs — 7bc simplify
    12·1 answer
  • Some one please help !!! How do I solve -1&lt;-x/3&lt;1
    8·1 answer
  • The product of X and 7 equals 28
    7·1 answer
  • Without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3
    14·2 answers
  • Find the coordinates of the midpoint AB. 1) ( -2,4), (4,0) THANK YOU!! And it's worth a lot of points if I get it right.
    12·1 answer
  • Cual es el mínimo común pultiplo de3/7,1/4,2/5,6/10,4/6
    7·1 answer
  • Pls help im on the verge of suicide bc of this
    9·1 answer
  • A+0=0+a=0 is true except for all teal numbers except 0 true or false
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!