62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
Given
Putting the values in the formula
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
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Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
It stretches the graph parallel to the y axis by a factor a. This has the effect of making the parabola more narrow.
A polynomial with a degree of 3 is understood to have three zeroes or roots. In the given problem in 1, x3 + 6 x2 – 9x – 54, the roots of the polynomial using the calculator are B. B. 3, -3, -6. The same applies for number 2 given the polynomial x3 – 4x2 + 3x – 12. The answer in 2 is D. 4 years. The roots of the polynomial in 3 are:
<span>x1=−0.45117</span>
<span><span>x2</span>=1.77474</span>
<span><span>x3</span>=0.03821+0.70576∗i</span>
<span><span><span>x4</span>=0.03821−0.70576∗i. Hence there is A. 1 negative root.</span></span>
The point-slope formula:
We have (-2, 1) and (1, 7).
Substitute:
