Answer:
8
Step-by-step explanation:
Total length of the fabric is
We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.
Let she needs x scarves. So, ATQ
Hence, she can make 8 scarves.
Answer:
is the fifth term from the given formula.
Step-by-step explanation:
We have been given an explicit formula
we have to find fifth term means we have to find
So, as to find the the fifth term we will put n=5 in the given explicit formula:
Hence, the fifth term from the given formula is:
Answer:
z = 137 degrees
Step-by-step explanation:
Angle 43 and angle z make a straight line, which is 180 degrees
43+z = 180
Subtract 43 from each side
43+z-43 = 180-43
z =137
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:
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.