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
olga_2 [115]
3 years ago
13

A mass of 100 grams of a particular radioactive substance decays according to the function m(t)=100e−t850

Physics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

After 1023.4 years the mass of the substance will be 30 g.

Explanation:

Hi there!

Let´s write the function (according to what I found on the web):

m(t) = 100e^{-t/850}

We have to find the time "t1" at which the mass of the substance is 30 g. Mathematically:

m(t1) = 30

Then:

30 = 100e^{-t1/850}

Let´s solve the equation for t1. First, divide by 100 both sides of the equation:

0.3 = e^{-t1/850}[/tex]

Apply ln to both sides of the equation:

ln(0.3) = ln(e^{-t/850})

Use the logarithm property: ln (aᵇ) = b ln(a)

ln(0.3) = -t/850 · ln (e)             (ln (e) = 1)

ln(0.3) = -t/850

850 ln(0.3) = -t

t = -850 ln(0.3)

t = 1023.4

After 1023.4 years the mass of the substance will be 30 g.

You might be interested in
A mixture that appears to only contain 1 substance is a ?
WARRIOR [948]
A mixture that appears to contain only one substance is a. homogenous mixture.
4 0
2 years ago
Read 2 more answers
When an RL circuit is connected to a battery, which is true about its initial and final states?
zubka84 [21]

Answer:A

Explanation:

In R-L circuit current is given by

i=i_0\left [ 1-e^{\frac{-t}{L/R}}\right ]

where i=current at any time t

i_0=maximum\ current

R=resistance

L=Inductance

at t=0 e^{\frac{-t}{L/R}} approaches to 1

therefore i=i_0\left [ 1-1\right ]

i=0

when t approaches to \infty,  e^{\frac{-t}{L/R}} approaches to zero

thus i=i_0

thus we can say that initially circuit act as broken wire with zero current

and it increases exponentially with time and act as ordinary connecting wire

7 0
3 years ago
Cuales son los factores para que un sobre conductor se genere y aumente la energía termíca
riadik2000 [5.3K]

daisuki

anneyong

mahal kita

te amo

7 0
2 years ago
Davahl is interested in tortoises because they can live for over a hundred years and have unique metabolisms. She wants to perfo
lesya [120]
I would say its time
4 0
3 years ago
Read 2 more answers
Which law describes the magnetic field in a nonlinear wire? A. Faraday's law B. Gauss's law C. Ohm's law D. Ampère's law
Korolek [52]

Answer:

B. Gauss’s law

Explanation:

Gauss’s law is defined as the act of thinking something carefully, careful thought; meditation; deliberation. consideration acts like filter on the information a person receives, because it allows them to contemplate the implications of something before acting on it.

hope this helped!

7 0
3 years ago
Other questions:
  • Which represents a type of electromagnetic wave? A. slinky wave B. jump rope wave C. shortwave radio waves D. ocean wave
    9·2 answers
  • A roller coaster car speed is 4 m/s, but 3 seconds later its speed is 22 m/s. What is its average acceleration?
    12·1 answer
  • Define 1 kilowatthour​
    10·2 answers
  • How many ohms of resistance must be present in a circuit that has 240 volts and a current of 15 amps?
    6·2 answers
  • You could use an elevator or the stairs to lift a box to tenth floor.which has greater power?
    12·1 answer
  • What is the smallest part of a chemical compound that has all the properties
    5·1 answer
  • A block of mass 500 g is attached to a horizontal spring, whose force constant is 25.0 N/m . The block is undergoing simple harm
    6·1 answer
  • Did i draw the tangent line correctly?​
    12·1 answer
  • Which of the following are features of the nucleus of an atom
    11·1 answer
  • What is the 3 word definition for momentum?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!