f(x) = 2 * (1/2)^x
f(3) = 2 * (1/2)^3
f(3) = 2 * (1/2 * 1/2 * 1/2)
f(3) = 2 * 1/8
f(3) = 2/8
f(3) = 1/4
Hope this helps!
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.
<h3>
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.
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Answer:
81
Step-by-step explanation: A square has all sides the same so you just multiply 9×9
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The total number of nickels we have is 15.
Given we have 27 coins, made up of nickels, dimes and quarters.
there total value is $3.30
we have 3 times as many quarters as dimes.
total nickels = ?
let, x = number of dimes
3x = number of quarters
y = number of nickels
then, x ₊ 3x ₊ y = 27
therefore, 4x ₊ y = 27 .. eq(1)
total value of coins in cents = 330
10(x) ₊ 25(3x) ₊ 5(y) = 330
10x ₊ 75x ₊ 5y = 330
85x ₊ 5y = 330
17x ₊ y = 66 ..eq(2)
Subtracting (1) from (2):
13x=39
x=3
So the number of dimes is x=3; the number of quarters is 3x=9; and since the total number of coins is 27, the number of nickels is 15.
hence the total number of nickels is 15.
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