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guapka [62]
3 years ago
8

After 3 days a sample of radon-222 has decayed to 58% of its original amount.

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
The half-life of the radioactive substance can be determined through teh equation ln 2 = k (t 1/2) where k is equal to ln (1/(1-0.58)) / 3. Hence t 1/2 is equal to 2.40 days. To decay to 10% of the original amount, ln (1/0.90) / ( ln2) / 2.40, time is equal to 0.37 days.
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Find f(t – 3) for f(x) = 4x^2 – 8x + 4.
Vladimir79 [104]

Answer:

<h2>A. 4t² - 32t + 64</h2>

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4

f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28

f(t - 3) = 4t² - 24t + 36 - 8t + 28

f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)

f(t - 3) = 4t² - 32t + 64

3 0
3 years ago
. <br> The average weight of a male African elephant is 15,000 pounds. How many tons is this?
denis23 [38]

Answer:7 1/2 tons

Step-by-step explanation:

8 0
2 years ago
Which number is greater:<br>-100 101 or -110 100?​
AleksandrR [38]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Cost to store: ?<br> Markup: 15%<br> Selling price: $85.10
prohojiy [21]

Answer:

115% = 85.10

divide both sides by 115 to find 1%

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now multiply both sides by 100 to find 100%

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The first one is in the hundred millionth place the second one is in the ten millionth place
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3 years ago
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