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
galben [10]
3 years ago
6

The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha

lf of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
5 0

Answer:  Initial Weight = W₁ = 96

Change factor = 1/2 = 0.5

Step-by-step explanation:

zimovet [89]3 years ago
3 0
The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

\\  \\ W_{t}=96(0.5)^{t}

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

You might be interested in
Complete the table for the given rule.<br> Rule: y=2x
Contact [7]
9 - 18
5 - 10
1 - 2

Work —
First line:
y = 2 (9)
y = 18

Second line:
10 = 2x
5 = x

Third line:
y = 2 (1)
y = 2
4 0
3 years ago
Read 2 more answers
Hope someone can help me
Advocard [28]

Hi!

Let's find out how much he has to pay for each of the deals.

Deal 1

£1.75 per mile.

192 x 1.75 = 336

£336

Deal 2

15% off of £680

\frac{x}{680} \frac{15}{100}

680 x 15 = 10200

10200/100 = 102

680 - 102 = 578

£578

Deal 3

£90 per day - 1/10

90 x 7 = 630

1/10 of 630 = 63

630 - 63 = 567

£567

The cheapest deal would be Deal 1

Hope this helps! :)

-Peredhel

5 0
3 years ago
Explain how numbers with a 5 in the ones place are not prime numbers
aleksandrvk [35]
Because they will always be divisible by 5
7 0
3 years ago
Read 2 more answers
wrote an equation for the line. passing through (-5,7) and parallel to the line whise equation is 5x-3y-4=0​
xeze [42]

Step-by-step explanation:

5x-3y-4=0---------(1)

Slope = - coefficient of X/ coefficient of y

= -5/(-3)

= 5/3

(x1,y1)= (-5,7)

Equation of the line,

Y-Y1= slope(X-X1)

Y-7= (5/3)×(X-(-5))

Y-7= (5x+25)/3

3y-7=5x+25

5x-3y+32=0 is the required eqn

3 0
3 years ago
Give the measure of angle C. <br>20° <br>180°<br>70°<br>110°​
tigry1 [53]

Answer:

C=110

Step-by-step explanation:

Angle C and the angle labeled 110  are alternate interior angles if the lines are parallel.  Alternate interior angles are equal

C=110

8 0
2 years ago
Read 2 more answers
Other questions:
  • Line segment TS is tangent to circle O at point N.  If the measure of QNT  is 74°, what is the measure of QPN?
    14·2 answers
  • 5 / 3 x + 1 / 3x equals 13 + 1 / 3 x + 8 / 3 x
    6·2 answers
  • Subtract ​​using the number line.
    10·2 answers
  • Please help!! I’m confused :(
    7·2 answers
  • Last year Amy eared £18400
    14·1 answer
  • If Roxanne earns $$$22​5.72 for working $$9 hours in a day, how much does she earn per hour?
    6·1 answer
  • Which expression could be substituted for y in the second equation to find the value of x?
    8·1 answer
  • Earl runs 70 meters in 20 seconds. How many meters does Earl run per second
    9·2 answers
  • Which expression can be used to represent the phrase “Maren increases the number of servings by six”? A. n-6 B. 6-n C. n+6 D. 6n
    12·1 answer
  • Which expressions are equivalent to (d^1/8) ^5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!