s(15)=77⋅15+
14
3

⋅15
3/2
+677

Q: s(15)=77⋅15+ 14 3 ⋅15 3/2 +677

To solve the expression $ s(15) = 77 \cdot 15 + \frac{14}{3} \cdot 15^{3/2} + 677 $, we need to calculate each component step-by-step. 1. Calculate $ 77 \cdot 15 $: \[ 77 \cdot 15 = 1155 \] 2. Calculate $ 15^{3/2} $: - First, find the square root of 15: $ \sqrt{15} \approx 3.87298 $ - Then raise it to the power of 3: $ (3.87298)^3 \approx 58.09475 $ 3. Calculate $ \frac{14}{3} \cdot 15^{3/2} $: \[ \frac{14}{3} \cdot 58.09475 \approx 271.1075 \] 4. Add all components together: \[ s(15) = 1155 + 271.1075 + 677 = 2103.1075 \] Therefore, the value of $ s(15) $ is approximately 2103.11.

Question

s(15)=77⋅15+ 
14
3
​
 ⋅15 
3/2
 +677

Accepted Answer

To solve the expression $ s(15) = 77 \cdot 15 + \frac{14}{3} \cdot 15^{3/2} + 677 $, we need to calculate each component step-by-step.

1. Calculate $ 77 \cdot 15 $:
   $$
   77 \cdot 15 = 1155
   $$

2. Calculate $ 15^{3/2} $:
   - First, find the square root of 15: $ \sqrt{15} \approx 3.87298 $
   - Then raise it to the power of 3: $ (3.87298)^3 \approx 58.09475 $

3. Calculate $ \frac{14}{3} \cdot 15^{3/2} $:
   $$
   \frac{14}{3} \cdot 58.09475 \approx 271.1075
   $$

4. Add all components together:
   $$
   s(15) = 1155 + 271.1075 + 677 = 2103.1075
   $$

Therefore, the value of $ s(15) $ is approximately 2103.11.

s(15)=77⋅15+ 14 3 ​ ⋅15 3/2 +677

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s(15)=77⋅15+ 14 3 ⋅15 3/2 +677