Answer:
p^(a-1)
Step-by-step explanation:
The simplified expression can be seen in the picture attached below
As the factors have the same base, we just need to add or substract the exponents
p^(a-3+2) = p^(a-1)
Answer: " m = zC / (C − z) " .
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Explanation:
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Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
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1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
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Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
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mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
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Answer:
x = 25
Step-by-step explanation:
The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.
This is an equilateral triangle. So all 3 angles are equal.
We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:
180/3 = 60
The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

The value of x is 25
Answer:
1. 16π
2. 112π
3. 351.68
Step-by-step explanation:
Area of a circle = πr^2
Substitute...
=4^2π
=16π
To find the how much fluid it can hold, just basically find its volume. To do that, you mutiply the area of the base by the height. So...
16π*7=122π
You then just subsitute π by 3.14 so...
122(3.14)=351.68