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crimeas [40]
3 years ago
6

a 10 gram sample of a substance that's used to detect explosives has k-value of 0.1353, find the substance half life in days, Ro

und your answer to the nearest hundreth
Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0

5.1 is the correct answer.

IrinaK [193]3 years ago
4 0
We find the value of N₀ since we are provided with initial conditions.
The condition is that, at time t = 0, the amount of substance contains originally 10 grams.
We substitute:
10 = N₀ (e^(-0.1356)*0)
10 = N₀ (e^0)
N₀ = 10

When the substance is in half-life (meaning, the half of the original amount), it contains 5 grams. We solve t in this case.
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Multiply natural logarithms on both sides to bring down t.
ln(0.5) = -0.1356*t
Hence,
t = -(ln(0.5))/0.1356
t ≈ 5.11 days (ANSWER)
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F(x) = x+ + 3<br> g(x) = 4x - 3<br> Given the functions below find (f*g)(-1)
Mashutka [201]

(f×g)(-1) is -14.

Step-by-step explanation:

  • Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)

⇒ (f×g)(x) = (x + 3)(4x - 3)

⇒ (f×g)(x) = 4x² - 3x + 12x - 9

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3 0
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3 0
2 years ago
While on vacation, Enzo sleeps 115\%115% as long as he does while school is in session. He sleeps an average of SS hours per day
Vikentia [17]

Answer: Let the Number of hours Enzo sleeps on average per day while School is in session be Y

Y = SS/115% = SS/1.15

Step-by-step explanation:

Given in the question:

- While on vacation, Enzo sleeps 115% as much as he sleeps when school is in session.

- Enzo sleeps SS hours per day during vacation

Mathematically, SS = 115% of Y

SS = 115% × Y

115% × Y = SS

Y = SS/115%

But 115% = 115/100 = 1.15

Therefore,

Y = SS/1.15

Solved!

7 0
2 years ago
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