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dlinn [17]
3 years ago
10

Change this radical to an algebraic expression with fractional exponents 3√a

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

\bf ~\hspace{7em}\textit{rational exponents}
\\\\
a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
~\hspace{10em}
% rational negative exponent
a^{-\frac{ n}{ m}} \implies
\cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\sqrt[3]{a}\implies \sqrt[3]{a^1}\implies a^{\frac{1}{3}}

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What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
3 years ago
a fountain in a pond has a pump that recirculates 75 gallons of water in 1/4 of an hour.express this rate as a unit rate in gall
olga55 [171]
So if in 1/4 of an hour 75 gallons are pumped you would multiply 75 by four which will give you 300. This means 300 gallons are pumped in an hour
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What is the equation in a point-slope form of the line that passes through the point (-8, 5) and has a slope of 12?
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Answer:

y-5=12(x+8)

Step-by-step explanation:


4 0
3 years ago
5 times a number n verbal expression
NNADVOKAT [17]

Answer:

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5 0
3 years ago
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Bond [772]

The answer would be 2

5 0
3 years ago
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