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morpeh [17]
3 years ago
7

Plutonium-240 decays according to the function e(t)=Q e-k where 0 represents the quantity remaining after t years and k is the d

ecay constant, 0.00011... To the nearest 10 years, how long will it take 27 grams of plutonium-240 to decay to 9 grams? A. 1.44 years B. 2,100 years C. 9,990 years D. 18,900 years​
Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer: 9,990

Step-by-step explanation:

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aliya0001 [1]
For any polynomial, first check to see if it factors. Then you can set each factor equal to zero.
x^3 -3x^2 -x+3 \ \textgreater \  0 \\  \\ x^2 (x-3) - (x-3) \ \textgreater \  0 \\  \\ (x^2 -1)(x-3) \ \textgreater \  0 \\  \\ (x-1)(x+1)(x-3) \ \textgreater \  0

The three zeros are -1,1,3

Next plug in values in each interval between zeros to test whether its greater than 0.

Try x values: -2,0,2,4

x = -2 yields a negative result, the interval x< -1 is Not a solution.

x = 0 yields a positive result, the interval -1
x = 2 yields a negative result, the interval 1
x = 4 yields a positive result, the interval x>3 IS a solution
4 0
3 years ago
Can someone help me with these two problems?
Sav [38]

Answer:

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Step-by-step explanation:

The relevant relation in both cases is the inscribed angle measures half the measure of the arc it intercepts.

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C. Angle TSQ intercepts arc TQ, so the measure of arc TQ is 2(86.5°) = 173°. The measure of arc TR is the difference between the measures of arcs TQ and RQ, so is ...

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D. Inscribed angle PQR intercepts arc PR, so is half its measure.

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6 0
4 years ago
Anita bought 3.74 ounces of chocolate. 0.81 ounces of it was milk chocolate and the rest was dark chocolate. How much dark choco
soldi70 [24.7K]
Anita bought 2.93 ounces of dark chocolate. You’d get 2.93 by subtracting 0.81 from 3.74.
7 0
3 years ago
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Answer:

15.7 inch^2

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r = 10/2 = 5

Pi = 3.142

Area = 3.142 x 5

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3 0
4 years ago
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Nady [450]

Answer:

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3×>-6-3

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3 0
3 years ago
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