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
vovikov84 [41]
2 years ago
13

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day

s.
Mathematics
1 answer:
-BARSIC- [3]2 years ago
5 0

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

You might be interested in
The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.​
saw5 [17]

Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

\sf \:2 π r = r+ 74

\sf \: =   > 2 \times  \frac{22}{7}  \times r =  r \:  + 74

\sf \: =  >  \frac{44r}{7}  -r  = 74

\sf \:  =  > \frac{44r - 7r}{7}  = 74

\sf \: =  >  \frac{37r}{7}  = 74

\sf \: =  > r =  \frac{7 \times 74}{37}

\sf \: =  >  r = 14

  • Hence, the radius of the circle is 14 cm.

________________________________

3 0
2 years ago
Read 2 more answers
What’s the correct answer for this question?
Ad libitum [116K]

Answer:

C:

Step-by-step explanation:

Both angles add up to 180°

<BCG + <BFG = 180°

2x+146+4x+238=180

6x+384 = 180°

6x = 180-384

6x = -204

Dividing both sides by 6

x = -34

8 0
3 years ago
If 2/9 of the students in a school are in 6th grade, then how
sveticcg [70]

Answer:

231

Step-by-step explanation:

\frac{2}{9} =\frac{42}{x}

42÷2= 21

9×21= 189

189 students total

42 6th graders

5 0
3 years ago
Read 2 more answers
A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location. At its Milford location, the
Vlad1618 [11]

Answer:

Milford location has a higher ratio of hamsters to gerbils.

Step-by-step explanation:

Given:

A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.

At its Milford location, there are 13 hamsters and 16 gerbils.

Now, to find the location who has a higher ratio of hamsters to gerbils.

Ratio of hamsters to gerbils at Lanberry location = 5:10.

=\frac{5}{10}=0.50

                                                                         

Ratio of hamsters to gerbils at Milford location= 13:16.

=\frac{13}{16} =0.8125

                                                       

<em>So, 0.8125 > 0.50.</em>

<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>

Therefore, Milford location has a higher ratio of hamsters to gerbils.

4 0
3 years ago
What is 2 times 200 - 321 + 67= 56-65 <br><br><br><br> jameskeeton04 pls talk to me
erica [24]

Answer: 2*200-321+67=56-65? look at the picture

Step-by-step explanation: Hope this help :D

6 0
3 years ago
Read 2 more answers
Other questions:
  • A contractor is calculating the interior perimeter of square windows on a building site. Each window will be framed with 2 inche
    7·1 answer
  • What is the value of |−8.6|<br><br> a −8.6<br> b −1.4<br> c 1.4<br> d 8.6<br> thanks
    14·1 answer
  • Write the equation of a line in y =mx+b<br> form that has a slope of 3/4 and a y-intercept of 0.
    14·1 answer
  • The points (1, 7) and (0, 2) fall on a particular line. What is its equation in slope-intercept form?
    14·1 answer
  • What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HEL
    10·2 answers
  • Write a corresponding real-world problem to represent 2x-125=400
    11·1 answer
  • Find the sum of QR<br> 4x+33
    15·1 answer
  • Find the measure of angle x 125
    8·2 answers
  • How many solutions does the equation<br> 3(2.4x + 4) = 4.1x + 7 + 3.1x have? Explain.
    14·1 answer
  • 3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!