What is the answer to p(7)=150 2/3 (7)^{3/2}+500 ?

The answer to p(7)=150 2/3 (7)^{3/2}+500 is p=(3164*7^{1/2}+1500)/(21)

Solve for p: p(7)=150 2/3 (7)^{3/2}+500

The solution is p=(3164*7^{1/2}+1500)/(21)

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p (7) = 150 \frac{2}{3} (7)^{\frac{3}{2}} + 500

p = \frac{3164 \cdot 7 ^{\frac{1}{2}} + 1500}{21}

Decimal Notation

p = 470.05510 \dots

Solution steps

p (7) = 150 \frac{2}{3} (7)^{\frac{3}{2}} + 500

Convert mixed numbers to improper fractions:

150 \frac{2}{3} = \frac{452}{3}

p (7) = \frac{452}{3} (7)^{\frac{3}{2}} + 500

Simplify

\frac{452}{3} \cdot 7^{\frac{3}{2}} + 500 : \frac{3164 \cdot 7 ^{\frac{1}{2}}}{3} + 500

p (7) = \frac{3164 \cdot 7 ^{\frac{1}{2}}}{3} + 500

Divide both sides by

7

p = \frac{3164 \cdot 7 ^{\frac{1}{2}} + 1500}{21}

\frac{1}{6} x + \frac{2}{3} x = 5

\frac{5}{7} = \frac{15}{21}

\frac{3}{4} + m = \frac{5}{4}

1 - \frac{x}{4} = 10

\frac{x + 3}{3} + \frac{x - 6}{5} = \frac{3 - x}{4}

What is the answer to p(7)=150 2/3 (7)^{3/2}+500 ?
The answer to p(7)=150 2/3 (7)^{3/2}+500 is p=(3164*7^{1/2}+1500)/(21)
Solve for p: p(7)=150 2/3 (7)^{3/2}+500
The solution is p=(3164*7^{1/2}+1500)/(21)