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
Anit [1.1K]
3 years ago
6

If there are 360 g of radioactive material with a half life (decreased by half or 50% )of 1 hour, how much of the radioactive ma

terial will be left after 4 hours ?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0

After 1 hour, 360 g decays to 180 g.

After another hour (total 2 hours), 180 g decays to 90 g.

After another hour (total 3), 90 g decays to 45 g.

After one more (total 4), 45 g decays to 22.5 g.

More quickly, with a half-life of 1 hour, the 360 g of starting material decays to

(360 g) / 2⁴ = 22.5 g

In general, if the half-life is 1 hour, then after <em>n</em> hours, an initial amount <em>A</em> of this substance decays according to

<em>A</em> / 2<em>ⁿ</em>

You might be interested in
2.
dimaraw [331]

Answer:

-7 < -4 < 0 < 7

Step-by-step explanation:

Given

Change: -4, 7, -7 and 0

Required

Compare them

From the list of given options, we can observe that the inequality < is used in all options.

This implies that we arrange from least to highest

The least is -7

Then, -4

Then 0

And lastly, 7

So, we have:

-7 < -4 < 0 < 7

3 0
3 years ago
How to classify 8x4 + 7x3 + 5x2 + 8 by number of terms.
Arisa [49]

Answer:

This is a polynomial.

Step-by-step explanation:

A monomial is a constant, a variable or the product of constants and variables.  

A binomial is the sum or difference of two monomials.

A trinomial is the sum or difference of three monomials.

Anything more than three terms makes it a polynomial.

This has 4 terms; thus it is a polynomial.

4 0
4 years ago
Read 2 more answers
Ava, Grace, Jayden, and Zoe together stacked a total of 50 brownies on a tray. Ava stacked 0.14 of the brownies, Grace stacked 4
OLEGan [10]

1. Zoe stacked the most brownies. She stacked 27 brownies out of the 50 brownies.

2. 15

3. 43 + 3n ≥ 70, so n ≥ 9

4. D. 58x + 13 + 58y

5. The answer would be ≤4

6. 9.94 + 10.01p ≤ 70, so p ≤ 6

7. C 40 89

8.  D. x+(x+5)=77

Hope I helped you! Please consider marking my answer the brainliest :)

4 0
3 years ago
The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0
4 years ago
Jenny can swim 10 laps In 5 minutes. How many laps should she swim in 1/3 of an hour?
DIA [1.3K]

1/3 of an hour is 20 minutes. If show 10 laps in 5 minutes, just divide 20 by 5, which gives you 4, then multiply 4 times 10. She can swim 40 laps in 1/3 of an hour. Hope that helps. Mark Brainliest if it does. Thank you!

4 0
3 years ago
Other questions:
  • Find the LCM of 5,10 and 15​
    9·2 answers
  • The moon is about 240,000 miles from earth . What is the distance written as a whole number multiplied by a power of ten
    7·2 answers
  • Let ​ f(x)=x+2 ​ and ​ g(x)=<img src="https://tex.z-dn.net/?f=%202%5E%7Bx%7D%20" id="TexFormula1" title=" 2^{x} " alt=" 2^{x} "
    12·1 answer
  • In what direction and by how many units is the graph of f(x) = −3 cos(2x − π) + 2 vertically and horizontally shifted
    6·1 answer
  • NEED HELP ASAP!!! Giving brainliest!!!!!!!
    8·2 answers
  • What is the point-slope form of 4x + 8y = 5?
    15·1 answer
  • How are these triangles congruent??????
    14·1 answer
  • Find each measure <br><br> Please help me
    14·2 answers
  • What is the simplified form of the following expression: -(8n -5v)
    9·1 answer
  • What is the slope of a line passing through (-5, 5) and<br> (-4, 10)?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!