prompt stringclasses 1
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The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 0 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 1 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 2 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 3 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 4 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 5 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 6 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 7 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 8 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 9 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 10 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 11 |
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