Solve the problem.
The function defined by
P(x)=1007e−0.0001272x approximates the atmospheric pressure (in millibars) at an altitude of x meters. Use P to predict the pressure at 0 meters and 13,000 meters.
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Question content area right
Part 1
The pressure at 0 meters is
enter your response here millibars.
To find the pressure at 0 meters, we can substitute x = 0 into the equation for P(x).
P(0) = 1007e^(-0.0001272*0)
Since any number raised to the power of 0 is equal to 1, the equation simplifies to:
P(0) = 1007 * e^0
Since e^0 is equal to 1, the equation further simplifies to:
P(0) = 1007 * 1
Therefore, the pressure at 0 meters is 1007 millibars.
To find the pressure at 0 meters, we can substitute x = 0 into the function P(x) = 1007e^(-0.0001272x).
P(0) = 1007e^(-0.0001272 * 0)
Since any number raised to the power of 0 is 1, we have:
P(0) = 1007e^(0)
Since e^0 = 1, we have:
P(0) = 1007 * 1
Therefore, the pressure at 0 meters is 1007 millibars.
To predict the pressure at 0 meters using the function P(x) = 1007e^(-0.0001272x), we need to substitute x = 0 into the equation. This will give us:
P(0) = 1007e^(-0.0001272 * 0)
Since any number raised to the power of 0 is equal to 1, we can simplify the equation to:
P(0) = 1007e^0
The value of e^0 is also equal to 1, so we have:
P(0) = 1007 * 1
Therefore, the pressure at 0 meters is 1007 millibars.