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alekssr [168]
3 years ago
6

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass

. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

after 6 half lives: 210(1/2)^6= 3.28125

Step-by-step explanation:

isotope to be reduced to half its initial mass at first:

210(1/2)=105 half it is original weight

after second life: 210(1/2)^2=105(1/2)=52.5

after third : 210(1/2)^3=52.5/2=26.25

after fourth : 26.25/2=12.125

after fifth : 13.125/2

after 6 half lives: 210(1/2)^6= 3.28125

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If p varies directly with T and p =105 when T=400.Find p when T =500
kumpel [21]

Answer:

<h3>p = 131.25</h3>

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

<h3>k =  \frac{21}{80}</h3>

So the formula for the variation is

<h2>p =  \frac{21}{80} T</h2>

when

T = 500

Substitute it into the above formula

That's

p =  \frac{21}{80}  \times 500

Simplify

The final answer is

<h3>p = 131.25</h3>

Hope this helps you

7 0
4 years ago
What is the surface area of this rectangular prism?
stira [4]

i think the answer is A.

8 0
3 years ago
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On a number line, point A has a coordinate of -6, and point B has a coordinate of 2. Which is the coordinate of point M, the mid
damaskus [11]
In my opinion
The answer is B
5 0
3 years ago
The table below shows the cube roots of different numbers: Number (x) 27 −27 125 −125 Cube root of the number (y) 3 −3 5 −5
kolbaska11 [484]
Part A

The table does represent y as a function of x because each input (values of x) related to exactly one output. Refer to the diagram below.

Part B

We have
f(x) = 925x + 1000
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5 0
3 years ago
The formula for finding the perimeter, P, of a rectangle with length l and width w is given. P=2l+2w
Ivenika [448]

Answer:

The formula to determine the length of rectangle with perimeter and width is L = \frac{P - 2W}{2}

Step-by-step explanation:

Given as :

The perimeter of rectangle = P

The length of rectangle = L

The width of rectangle = W

∵ Perimeter of rectangle given as P = 2 × Length + 2 × Width

I.e  P = 2 L + 2 W

Or, 2 L = P - 2 W

∴     L = \frac{P - 2W}{2}

Hence The formula to determine the length of rectangle with perimeter and width is L = \frac{P - 2W}{2}    Answer

4 0
3 years ago
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