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2 years ago

Plutonium-240 decays according to the function Q(t) = Qoe^-kt

Mathematics

1 answer:

LuckyWell [14K]2 years ago

5 0

Answer:

9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

Q(t) = 12 = 36e^(-0.00011t)

1/3 = e^(-0.00011t) . . . . . . divide by 36

ln(1/3) = -0.00011t . . . . . . take natural logs

t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

t ≈ 9990 . . . years

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Are line segments infinitely long?

butalik [34]

No,

A line is considered a "line segment" when a line connects to 2 points.

If a line was infinite length, it would never end up ending at one point.

Hope this was clear for you

4 0

3 years ago

Hey!!! What is −6+(−12)

SSSSS [86.1K]

Answer:

-18

Step-by-step explanation:

Essentially the same as (-6) - 12

7 0

3 years ago

Read 2 more answers

Find the value of a. Then find the angle measures of the quadrilateral.

sweet [91]

Answer:

a = 60°

60°, 60°, 120°, and 120°.

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.

4 0

2 years ago

Mr. Brown shares with the class that 70% of the students got an A on the English vocabulary quiz. If Mr. Brown has 100 students,

mezya [45]

Answer:

a. $\frac{70}{100}$

b. 0.7

c. 0.7=70%= $\frac{70}{100}$

Step-by-step explanation:

70% of 100 received an A, that is 70/100 times 100 equal to 70

$\frac{70}{100}*100=70$

a. 70% = $\frac{70}{100}$

b. $\frac{70}{100}$ = 0.7

Notice that 70/100 is equal to 7/10 which is 0.7

c. 0.7=70%= $\frac{70}{100}$

5 0

3 years ago

Solve this Inequality 1 > -1 - w

Rom4ik [11]

Answer:

$\displaystyle -2 < w$

Step-by-step explanation:

1 > −1 - w

+ 1 + 1

________

$\displaystyle \frac{2}{-1} > \frac{-w}{-1} \\ \\ -2 < w$

Whenever you divide\multiply by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

8 0

2 years ago