Solve the following word problem the air temperature at 9 AM is -5.8°C. The air temperature at noon is -1.6°C. What is the change in the temperature during it three hours right and solve an equation to show your answer, then explain what your answer means
To find the change in temperature during the three hours, we need to find the difference between the temperature at 9 AM and the temperature at noon.
Let's denote the change in temperature as ΔT.
At 9 AM, the temperature is -5.8°C.
At noon, the temperature is -1.6°C.
The equation that represents the change in temperature is:
ΔT = (-1.6) - (-5.8)
= -1.6 + 5.8
Simplifying the equation:
ΔT = 4.2
Therefore, the change in temperature during the three hours is 4.2°C.
This means that the temperature increased by 4.2 degrees Celsius from 9 AM to noon.
Determine the sign of the product of −0.708×−6.24.(1 point)
Responses
both positive and negative
both positive and negative
The product has no sign.
The product has no sign.
negative
negative
positive
The correct answer is positive.
Multiply −5×(−4).(1 point)
Responses
−9
negative 9
9
9
20
20
−20
The correct answer is 20.
Multiply 11×−9.(1 point)
Responses
−99
negative 99
99
99
2
2
−2
negative 2
The correct answer is -99.
Which of the following shows the Commutative Property of Multiplication?(1 point)
Responses
a×b=b×a
a times b equals b times a
a×(−1)=−a
a times left parenthesis negative 1 right parenthesis equals negative a
a×1=a
a times 1 equals a
a×(b×c)=(a×b)×c
The correct answer is "a×b=b×a" which means "a times b equals b times a." This demonstrates the Commutative Property of Multiplication.
To find the change in temperature during the three-hour period from 9 AM to noon, you can subtract the initial temperature at 9 AM from the final temperature at noon.
Initial temperature at 9 AM = -5.8°C
Final temperature at noon = -1.6°C
Change in temperature = Final temperature - Initial temperature
Change in temperature = (-1.6°C) - (-5.8°C)
To subtract a negative number, you can rewrite it as addition:
Change in temperature = -1.6°C + 5.8°C
Now you can add the numbers:
Change in temperature = 4.2°C
So, the change in temperature during the three-hour period is 4.2°C.
Now let's explain what this answer means. The temperature changed by 4.2 degrees Celsius during the three-hour period. Since the value is positive, it indicates that the temperature increased from 9 AM to noon. The change in temperature can provide insights into the rate of heating or cooling and can be used to evaluate the effectiveness of insulation or temperature regulation systems. In this case, the temperature increased by 4.2°C, meaning it got warmer during the three-hour period.