Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
5 is the mean of variable a I might be wrong
The highest common factor of the numbers 210 and 308 is 4.
<h3>What is the highest common factor?</h3>
The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.
The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-
308 = 2 x 2 x 7 x 11
210 = 2 x 2 x 3 x 17
We can see that the 2 x 2 = 4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.
Therefore the highest common factor of the numbers 210 and 308 is 4.
To know more about HCF follow
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F and U and C and K and then finally U
Answer: The slope is: "3" ; which does not appear among the answer choices given.
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The slope, "m" is calculated as follows:
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Given two coordinates on a line;
m = (y₂ − y₁) / (x₂ − x₁) ;
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We are given the following 2 (TWO) coordinates:
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1) (5,2) ; which is: (x₁ ,y₁) ; so x₁ = 5 ; y₁ = 2 ; AND:
2) (7,8); which is: (x₂ ,y₂) ; so x₂ = 7; y₂ = 8 ;
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So; m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .
m = 3. The slope is: 3 ; which does not appear among the answer choices given.
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Alternately,
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We are given the following 2 (TWO) coordinates:
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1) (7,8) ; which is: (x₁ ,y₁) ; so x₁ = 7 ; y₁ = 8 ; AND:
2) (5,2); which is: (x₂ ,y₂) ; so x₂ = 5; y₂ = 2 ;
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So; m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .
m = 3. The slope is 3 ; which does not appear among the answer choices given.
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