mirror of
https://github.com/anthropics/claude-cookbooks.git
synced 2025-10-06 01:00:28 +03:00
35 lines
1.9 KiB
XML
35 lines
1.9 KiB
XML
<evaluation>
|
||
<task>
|
||
<prompt>Calculate the compound interest on $10,000 invested at 5% annual interest rate, compounded monthly for 3 years. What is the final amount in dollars (rounded to 2 decimal places)?</prompt>
|
||
<response>11614.72</response>
|
||
</task>
|
||
<task>
|
||
<prompt>A projectile is launched at a 45-degree angle with an initial velocity of 50 m/s. Calculate the total distance (in meters) it has traveled from the launch point after 2 seconds, assuming g=9.8 m/s². Round to 2 decimal places.</prompt>
|
||
<response>87.25</response>
|
||
</task>
|
||
<task>
|
||
<prompt>A sphere has a volume of 500 cubic meters. Calculate its surface area in square meters. Round to 2 decimal places.</prompt>
|
||
<response>304.65</response>
|
||
</task>
|
||
<task>
|
||
<prompt>Calculate the population standard deviation of this dataset: [12, 15, 18, 22, 25, 30, 35]. Round to 2 decimal places.</prompt>
|
||
<response>7.61</response>
|
||
</task>
|
||
<task>
|
||
<prompt>Calculate the pH of a solution with a hydrogen ion concentration of 3.5 × 10^-5 M. Round to 2 decimal places.</prompt>
|
||
<response>4.46</response>
|
||
</task>
|
||
<task>
|
||
<prompt>Calculate the monthly payment for a $200,000 mortgage at 4.5% annual interest rate for 30 years (360 months). Use the standard mortgage payment formula. Round to 2 decimal places.</prompt>
|
||
<response>1013.37</response>
|
||
</task>
|
||
<task>
|
||
<prompt>Calculate the energy in joules of a photon with wavelength 550 nanometers. Use h = 6.626 × 10^-34 J·s and c = 3 × 10^8 m/s. Express the answer in scientific notation with 2 significant figures after the decimal (e.g., 3.61e-19).</prompt>
|
||
<response>3.61e-19</response>
|
||
</task>
|
||
<task>
|
||
<prompt>Find the larger real root of the quadratic equation 3x² - 7x + 2 = 0. Give the exact value.</prompt>
|
||
<response>2</response>
|
||
</task>
|
||
</evaluation>
|