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
guapka [62]
3 years ago
8

After 3 days a sample of radon-222 has decayed to 58% of its original amount.

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
The half-life of the radioactive substance can be determined through teh equation ln 2 = k (t 1/2) where k is equal to ln (1/(1-0.58)) / 3. Hence t 1/2 is equal to 2.40 days. To decay to 10% of the original amount, ln (1/0.90) / ( ln2) / 2.40, time is equal to 0.37 days.
You might be interested in
3. Kevin weighs 57 kilograms (kg) and his father weighs 85 kg. How much less
Lelu [443]

Answer:

his father weighs 28 kg more :)

4 0
2 years ago
I need help with this! Quick ASAP?
sp2606 [1]

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the <em>y </em>to the<em> </em>x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.

6 0
3 years ago
Graph the following three equations on your own device and answer the questions below.
Alina [70]

Due to length restrictions, we kindly invite to read the explanation of this question for further details on functions.

<h3>What are the characteristics of each of the three functions?</h3>

a) In this part we must evaluate each of the three functions at the given value of x:

Case 1

f(10) = 5 · 10 + 7

f(10) = 57

Case 2

f(10) = 10² + 6

f(10) = 106

Case 3

f(10) = 2¹⁰ + 3

f(10) = 1027

b) In this part we must evaluate each of the three functions at the given value of x:

Case 1

f(100) = 5 · 100 + 7

f(100) = 507

Case 2

f(100) = 100² + 6

f(100) = 10006

Case 3

f(100) = 2¹⁰⁰ + 3

f(100) = 1.267 × 10³⁰ + 3

c) In this part we must evaluate each of the three functions at the given value of x:

Case 1

f(1000) = 5 · 1000 + 7

f(1000) = 5007

Case 2

f(1000) = 1000² + 6

f(1000) = 1000006

Case 3

f(1000) = 2¹⁰⁰⁰ + 3

f(1000) = (1.268 × 10³⁰)¹⁰ + 3

f(1000) = 10.744 × 10³⁰⁰ + 3

f(1000) = 1.074 × 10³⁰¹ + 3

e) The <em>third</em> function increases the fastest.

f) In this part we need to compare the <em>third</em> function with respect to the <em>first</em> and <em>second</em> functions:

5 · x + 7 = 2ˣ + 3

2ˣ - 5 · x   = 4

The solutions of the equation are x = - 0.675 and x = 4.81. The function will exceed the other <em>first</em> function at x = 4.81.

x² + 6 = 2ˣ + 3

2ˣ - x² = 3

The solution of the equation is x = 4.588. The function will exceed the other <em>second</em> function at x = 4.588.

g) Yes, <em>exponential</em> functions with bases greater than 1 will surpass <em>polynomic</em> function at any point x such that x > 0.

h) The domain represents the set of x-values of a function and the range represents the set of y-values of a function. Then, the domain and range of each function is:

Case 1

Domain - All <em>real</em> numbers.

Range - All <em>real</em> numbers

Case 2

Domain - All <em>real</em> numbers.

Range - [6, +∞)

Case 3

Domain - All <em>real</em> numbers.

Range - (3, +∞)

To learn more on functions: brainly.com/question/12431044

#SPJ1

5 0
1 year ago
If the value of x=4, y=3 and z= -2 find the value of 2x+3z​
Oksana_A [137]

Answer:

<h2><em><u>2</u></em></h2>

Step-by-step explanation:

<em><u>To</u></em><em><u> </u></em><em><u>find</u></em><em><u> </u></em><em><u>value</u></em><em><u>:</u></em>

2x + 3z

<em><u>Given</u></em><em><u> </u></em><em><u>values</u></em><em><u>:</u></em>

x = 4, y = 3 and z = -2

<em><u>Solution</u></em><em><u>:</u></em>

2x + 3z

<em>(</em><em>Putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>4</em><em> </em><em>and</em><em> </em><em>z</em><em> </em><em>=</em><em> </em><em>-2</em><em>)</em>

= 2(4) + 3(-2)

= 8 - 6

= <em><u>2 (Ans)</u></em>

8 0
3 years ago
Read 2 more answers
How do you multiply fractions with a whole number
Allisa [31]
You put the whole number on top of 1, it doesnt change its value. then you simplify across like in a butterfly only if needed then you multiply across from left to right.

5 0
3 years ago
Read 2 more answers
Other questions:
  • There are 6 gallons of distilled water in the science supplies. If 10 students each use an equal amount of distilled water and t
    10·1 answer
  • Round 16.748 to the ones place
    7·2 answers
  • a tree 40 feet high casts a shadow 58 feet long. find the measure of the angle of elevation pf the sun.
    15·1 answer
  • What is the GCF of 24,
    7·2 answers
  • Which set or sub set does \large \frac{24}{8} belong?
    5·1 answer
  • 18) slope and y-intercept, I need help ASAP
    12·2 answers
  • Help! <br> serious answers only please!!!
    11·2 answers
  • Write in scientific notation: .0000604
    8·2 answers
  • PLEASE HELP WILL GIVE BRAINLY AND 5.0 RATING
    13·1 answer
  • The Area Of The Parallelogram Is: 4.2cm2 What Is The Height Of The Parallelogram<br>ASAP
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!