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adell [148]
3 years ago
11

Simplify the expression i⁸²

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

We can use a trick here. Let's look at the first few exponents of i to realize this:

i^0 = 1

i^1 = i

i^2= -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.

Step-by-step explanation:

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Step-by-step explanation:

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Dividing both sides by A0 and taking the logarithm, we get

ln(A/A0) = -(t/hl)ln2

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t= -(hl)ln(A/A0)/ln2

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7 0
3 years ago
Which of the following could be the lengths of the sides of a 30°-60°-90° triangle?
Inga [223]
According to Pythagoras theorem

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similarly ,

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7 0
3 years ago
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The area of the pathway is square, and its area is 196 square cm. Find the length of the pathway.
Ivanshal [37]

Answer:

14 cm

Step-by-step explanation:

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7 0
3 years ago
Someone please help on this problem ?
Wewaii [24]

Answer:

CR = 17 ; PR = 30

Step-by-step explanation:

From the problem hypothesis we know that CD⊥PR or CQ⊥PR(perpendicular) and ∡PCQ ≡∡RCQ (bisector)

so ∡PCQ≡∡RCQ

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     CQ⊥PR

--------------------------------------------

⇒(cathetus - angle case of congruence)⇒ ΔPQC≡ΔRQC so [PQ]≡[QR] (=15) // PR = PQ+QR ⇒ PR=30

from this congruence ⇒ΔPRC = isosceles so PC=CR=17

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3 years ago
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Ann [662]

Answer:

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Step-by-step explanation:

remember \frac{rise}{run}

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