The pressure of 28 inches of mercury occurs about 6 miles from the eye of the hurricane. We get this from the given algebraic expression.
<h3>What is an expression?</h3>
An expression is formed by variables, constants, and algebraic operations. Since the operation among them is an algebraic or arithmetic operation, it is said to be an algebraic expression.
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Calculation:</h3>
It is given that the algebraic expression that relates the barometric pressure and the eye of the hurricane as
f(x) = 0.48 ln(x+2) + 27
Here x is the distance in miles from the eye of the hurricane.
f(x) is the pressure of the mercury in a barometer in inches
So, the required distance from the eye of the hurricane when the pressure of 28 inches of mercury in the meter is
(Here f(x) = 28)
f(x) = 0.48 ln(x+2) + 27
⇒ 28 = 0.48 ln(x+2) + 27
⇒ 0.48 ln(x+2) = 28 - 27
⇒ ln (x+2) = 1/0.48
⇒ ln(x+2) = 2.0833
Applying exponential base "e" on both sides, we get
(x+2) =
⇒ x + 2 = 8.0309
⇒ x = 8.0309 - 2 = 6.0309
When the result is rounded to the nearest whole number, we get x = 6 miles.
Thus, for the pressure of 28 inches of mercury, the eye of the hurricane is 6 miles far from the barometer.
Learn more about an expression here at the following link:
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Answer:
the answer is 156 meters
Maybe can u give me brainliest?
Answer:
Increase the area of the deck by 12 square feet.
Step-by-step explanation:
Answer:
17 inches
Explanation:
The Pythagorean theorem states that a^2+b^2=c^2 when c is the longest side (the hypotenuse) and a and b are the other two sides. This theorem can only be applied to right triangles.
First, plug the values into the formula.
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Take the square root of both sides
c=17
I hope this helps!
Answer:
8
Step-by-step explanation:
v = -3, w = -4,
vw + w,
Subsitute in (-3) for (v), and (-4) for (w).
(-3)(-4) + (-4)
Simplfiy,
12 + (-4)
12 - 4
8