1.Convert 800 grams into ounces. Round your answer to the nearest tenth.
2.Factor completely .
A. Prime
B.
C.
D.
3.if temperatures is 82 degrees Fahrenheit that is equivalent to Celsius
The correct answer and explanation is:
- Converting 800 grams to ounces:
To convert grams to ounces, use the conversion factor:
1 gram = 0.03527396 ounces.
Now, multiply 800 grams by the conversion factor:
800 grams×0.03527396 ounces/gram=28.21917 ounces800 \text{ grams} \times 0.03527396 \text{ ounces/gram} = 28.21917 \text{ ounces}
Rounding to the nearest tenth:
The result is approximately 28.2 ounces.
- Factoring Completely:
Could you please provide the expressions for parts B, C, and D so I can factor them? For part A, if you’re looking for a prime number, a prime number cannot be factored further because it has only two divisors: 1 and itself.
- Converting 82 degrees Fahrenheit to Celsius:
To convert Fahrenheit to Celsius, use the formula:
C=59(F−32)C = \frac{5}{9}(F – 32)
Where:
- F=82F = 82 degrees Fahrenheit.
Now, substitute the value into the formula:
C=59(82−32)=59×50=2509≈27.8 degrees CelsiusC = \frac{5}{9}(82 – 32) = \frac{5}{9} \times 50 = \frac{250}{9} \approx 27.8 \text{ degrees Celsius}
Explanation:
The relationship between Fahrenheit and Celsius is based on a linear transformation. The Fahrenheit scale has a freezing point of water at 32°F, while Celsius has it at 0°C. Thus, when you need to convert between these two scales, the formula helps adjust for the different starting points (freezing points) and scales of temperature increase.
In the formula C=59(F−32)C = \frac{5}{9}(F – 32), the subtraction of 32 accounts for the difference in freezing points of water between the two scales. Once this adjustment is made, multiplying by 59\frac{5}{9} scales the temperature appropriately to match the Celsius scale.
For instance, at 82°F, the corresponding temperature in Celsius is approximately 27.8°C. This means that if the temperature is 82°F, it’s relatively warm, but still comfortable, similar to what might be felt on a sunny day in spring or early fall. This conversion is essential in many scientific contexts, where the Celsius scale is used in most parts of the world for weather data, scientific experiments, and engineering work.
Celsius is widely used outside the United States, and understanding how to convert between the two units is crucial for interpreting international data or adjusting appliances and systems that use different temperature scales.