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Elodia [21]
3 years ago
11

Help me solve this please

Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

angle P congruent to angle N

Step-by-step explanation:

You know the angles at Q are congruent.

If angle P is congruent to angle N, then angle R is congruent to angle D.

Then both triangles are similar.

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If P(x)=x^2-1 and q(x)=5(x-1), which expression is equivalent to (p-q)(x)
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3 years ago
Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest ten
Mkey [24]

Answer:

85.5 minutes

Step-by-step explanation:

The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;

Nt = N0 × e^(-λt)

Where;

Decay constant λ = ln(2)/th, substituting into the equation;

Nt = N0 × e^(-ln(2)t/th)

We need to make t the subject of formula;

Nt/N0 = e^(-ln(2)t/th)

ln(Nt/N0) = -ln(2)t/th

t = ln(Nt/N0) ÷ -ln(2)/th

Given;

Initial amount N0 = 760g

Final amount Nt = 11 g

Half life th = 14 minutes

the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;

t = ln(Nt/N0) ÷ -ln(2)/th

Substituting the given values;

t = ln(11/760) ÷ -ln(2)/14

t = 85.5 minutes

4 0
3 years ago
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