Answer : The time taken by the element to decay to 2 grams is, 75.2 minutes
Step-by-step explanation:
Half-life = 13 min
First we have to calculate the rate constant, we use the formula :



Now we have to calculate the time passed.
Expression for rate law for first order kinetics is given by:

where,
k = rate constant = 
t = time passed by the sample = ?
a = initial amount of the reactant = 110 g
a - x = amount left after decay process = 2 g
Now put all the given values in above equation, we get


Therefore, the time taken by the element to decay to 2 grams is, 75.2 minutes
Answer:
87.92 m
Step-by-step explanation:
The formula to calculate the circumference of the circle is:
Diameter * Pi ----> 28 * 3,14
This question is about how transformations can affect graphs.
First, we'll want to get rid of that -4 on the function of F.
So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph
.
Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.
Finally, we can move the function of by
because the d value is positive, meaning that we move the graph up.
Hope this helps.
頑張って!
The formula for z-score is:
z-score = (X – μ) / σ
where,
X = sample
μ = mean =
1001
σ = standard
deviation = 6
Since we are
looking for volumes less than 1001 mL, let us use 1000.5 mL for X.
z-score =
(1000.5 – 1001) / 6
z-score =
-0.083
Referring to
the standard distribution table for z-test, this corresponds to:
p = 0.4681
<span>So 46.81% of
the bottles are less than 1001 mL.</span>
Hello!
First of all, let's find the area of the bases. We can see that the base is 8 by 6, or 48. We have this onto the top as well. This gives us 96. We can multiply The area of each side (base,front, side) by two to get the other side. Then we will add.
48(2)=96 (Base)
42(2)=84 (Side)
56(2)=112 (Front)
Now we add all of our numbers up.
96+84+112=292
Therefore, our answer is B) 292 in²
I hope this helps!