<h3>Number of minutes in 3/4 of an hour is :
</h3>
<h3>n = 3/4 × 60 = 45 minutes.
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<h3>Now, If it continues to rain at that rate for 15 more minutes :
</h3><h3>
</h3><h3>So, time taken = 45 + 15 min = 1 hour.
</h3><h3>
</h3><h3>Let, rain gauge is filled x fraction in 1 hour.
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<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:
By properties of powers, if you have the same base, you can substract the exponents. Then:
=(</span>27x^2)z/(-3x^2)(z^6) =-9z/z^6 (As you can see: x^2-2= x^0=1) =-9/z^5 (Then, z^6-1=z^5) <span> Therefore, the answer is: The exponent on the variable z is 5.</span>