Answer:
Quantity remaining= 27.5 grams
Step-by-step explanation:
If the initial quantity of the radioactive isotope= 220 grams
And for each half life it will reduce to half of its original quantity
For first half life
Quantity= 220/2
Quantity= 110 grams
Now for the second half life , the quantity to work with will be 110 grams
Second half life
Quantity= 110/2
Quantity= 55 grams
For the third half life , the quantity to work with is 55 grams
Third half life
Quantity= 55/2
Quantity= 27.5 grams
So after 3 half life's of this radioactive isotope, the amount remaining out of 220 = 27.5 grams.
Another simple way to do this
Since half life reduce the isotope by half of its original.
The third half life will reduce it by (1/2)^3= 1/8
So the quantity remaining= 1/8*220
Quantity remaining= 27.5 grams
Answer:
<h2>1</h2>
Step-by-step explanation:
Magnitude 
of an earthquake is defined as 
. Here 
is the Intensity of the earthquake and 
is the intensity of standard earthquake.
We have an earthquake that is 10 times more intense than a standard earthquake. Let us denote the intensity of the earthquake as .
10 times more intense than standard earthquake ⇒ 
Magnitude of the earthquake = 
∴ Magnitude of the earthquake is 1.
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
This is not the answer, but I want to tell you that I can't see what the problem says. I would help you, but I can't.
Answer:
x = -4 and -3
Step-by-step explanation:
factors to (x+4)(x+3)
to zero them is -4 and -3
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