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mars1129 [50]
2 years ago
13

What is the fraction 3/2 squared in fraction form??

Mathematics
2 answers:
ehidna [41]2 years ago
4 0
You basically just take 3^2 and 2^2 to get 9/4
9/4 is the answer

Anuta_ua [19.1K]2 years ago
4 0

Answer:

The required fraction is 9/4.

Step-by-step explanation:

The given expression is

(\frac{3}{2})^2

Power of quotient property of exponent: If a and b and are non zero real number, m and n are any integers, then

(\frac{a}{b})^m=\frac{a^m}{b^m}

Using quotient property of exponent, we get

(\frac{3}{2})^2=\frac{3^2}{2^2}

(\frac{3}{2})^2=\frac{9}{4}

Therefore the required fraction is 9/4.

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The amount y (in grams) of the radioactive isotope fermium-253 remaining after t hours is y=a(0.5)t/72, where a is the initial a
almond37 [142]

Answer:

Per hour decay of the isotope is 0.96%.

Step-by-step explanation:

Amount of radioactive element remaining after t hours is represented by

y=a(0.5)^{\frac{t}{72}}

where a = initial amount

t = duration of decay (in hours)

Amount remaining after 1 hour will be,

y=a(0.5)^{\frac{1}{72} }

y = 0.9904a

So amount of decay in one hour = a - 0.9904a

                                                      = 0.0096a gms

Percentage decay every hour = \frac{\text{Amount of decay}}{\text{Initial amount}}\times 100

                                                  = \frac{0.0096a}{a}\times 100

                                                  = 0.958 %

                                                  ≈ 0.96 %

Therefore, per hour decay of the radioactive isotope is 0.96%.

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Shorter Leg=x

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