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Fantom [35]
3 years ago
5

Question 1(Multiple Choice Worth 5 points) (07.01 MC) The amount of radioactive uranium changes with time. The table below shows

the amount of radioactive uranium f(t) left after time t: t(hours) 0 0.5 1 f(t) 100 50 25 Which exponential function best represents the relationship between f(t) and t?
Mathematics
2 answers:
morpeh [17]3 years ago
7 0

the answer would be f(t) = 100(0.25)t

sertanlavr [38]3 years ago
6 0

This represents a half life equation - since as time increases, radioactivity decreases by half. If we take our exponential function

y = a(r)^t, r = 1/2 since as t increases, y halves. The initial amount of radiation is 100, so a = 100


Thus we get f(t) = 100(1/2)^t

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Answer:

51 degrees

Step-by-step explanation:

Complementary angles are two angles whose sum is (90degrees). If one is given an angle measure and needs to find its complementary angle, then all one has to do is subtract the given angle measure from (90degrees).

90 - 39 = 51

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3 years ago
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gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

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Factorize

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3ⁿ * 5

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<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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3 years ago
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steposvetlana [31]

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Step-by-step explanation:

:D

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3 years ago
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