Answer:
The jetski is 2.28 dB loud when the person is 41 feet away.
Step-by-step explanation:
Loudness (L) ∝ 1 / Distance² (d²)
Introduce a constant 'K'
L = K (1/d²)
L = K/d²
K = Ld²
Find the K from a previously known information: If a person 8 feet from a jetski hears 60 decibels loud
∴ d = 8 ft , L = 60 db
K = 60(8²) = <em>3840</em>
How loud is the jetski when the person is 41 feet away?
Distance is now 41 ft
since: L = K/d²
∴ L = 3840 / 41²
L = 3840 / 1681
L = 2.28 db
The number of possible selections is
C(58, 5) = 58!/(5!*53!) = 4,582,116
Answer:
(x - 2)/3
(x - 4)/-5 or (-x + 4)/5
Step-by-step explanation:
this is an inverse function, and to solve an inverse function you would :
swap x and g(x) without bringing the x coefficient with it, just simply swap the variables. Then, solve for g(x), and that's it
the first question's answer is :
g(x) = 3x + 2
x = 3(g(x)) + 2
x - 2 = 3(g(x))
(x - 2)/3 = g(x)
the second one is:
g(x) = 4 - 5x
x = 4 - 5(g(x))
x - 4 = -5(g(x))
(x-4)/-5 = g(x)
So that they have the same denominator you can rewrite 9n as (27/3)n
(27/3)n + (2/3)n = 4
(29/3)n = 4
Multiply both sides by 3/29 to isolate variable n.
n = 4(3/29)
n = 12/29
Answer:
x=9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(3x+8)=175
(5)(3x)+(5)(8)=175(Distribute)
15x+40=175
Step 2: Subtract 40 from both sides.
15x+40−40=175−40
15x=135
Step 3: Divide both sides by 15.
15x/15=135/15
x=9
