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hram777 [196]
3 years ago
7

Help me on this question? log x-log 9=1

Physics
2 answers:
DanielleElmas [232]3 years ago
6 0
\log { x } -\log { 9 } =1\\ \\ \log { \left( \frac { x }{ 9 }  \right)  } =1\\ \\ \log _{ 10 }{ \left( \frac { x }{ 9 }  \right)  } =1\\ \\ { 10 }^{ 1 }=\frac { x }{ 9 } \\ \\ 9\cdot 10=x\\ \\ x=90

This is because:

\log _{ a }{ \left( \frac { x }{ p }  \right)  } \\ \\ =\log _{ a }{ \left( \frac { { a }^{ m } }{ { a }^{ n } }  \right)  } \\ \\ =\log _{ a }{ \left( { a }^{ \left( m-n \right)  } \right)  } \\ \\ =\left( m-n \right) \cdot \log _{ a }{ a } \\ \\ =m-n\\ \\ =\log _{ a }{ x } -\log _{ a }{ p } \\
Alika [10]3 years ago
4 0

   log(x) - log(9) = 1

Subtracting the logs of numbers gives you the log of
the quotient of the numbers.

     Log(x) - log(9)  is the log of  (x/9).

So the equation says:    log (x/9) = 1

Raise 10 to the power of each side:  10^(log of x/9) = 10^1

But  10^(log of x/9) is x/9, and 10^1 is 10.

So        x/9 = 10

             x  =  90

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When water waves meet, they can combine to form new waves. In constructive waves, a ________ amplitude wave is formed. In destru
Sever21 [200]

Answer:

In constructive waves, a <u><em>greater</em></u> amplitude wave is formed. In destructive waves, a wave with a <u><em>smaller</em></u> amplitude is formed. (option A)

Explanation:

Interference is called the superposition or sum of two or more waves. Depending mainly on the wavelengths, amplitudes and the relative distance between them, there are two types of interference: constructive or destructive.

Constructive interference occurs when there are two waves of identical or similar frequency (both have motions equal to an even number of similar wavelengths) and overlap the peak of one with the peak of the other. These effects add together and make a wave of greater amplitude. All of this is possible because the waves were in the same phase in the beginning (in the same position).

Destructive interference occurs in the opposite case to constructive. When the crest of one wave overlaps the valley of the other, they cancel out since they are in different phases when they overlap (they were in different positions). That is, as in the case of constructive waves they were added, in the case of destructive waves they cancel out (subtract).

So, <u><em>In constructive waves, a greater amplitude wave is formed. In destructive waves, a wave with a smaller amplitude is formed. </em></u>

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3 years ago
So, what is the answer of this assignment?
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6 0
3 years ago
Convert 5.7 miles to km
gayaneshka [121]

5.7 kilometers is equal to 3.5418157957528034 miles

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A car speeds over a hill past point A, as shown in the figure. What is the maximum speed the car can have at point A such that i
Lubov Fominskaja [6]

Answer:

11.8 m/s

Explanation:

At the top of the hill, there are two forces on the car: weight force pulling down (towards the center of the circle), and normal force pushing up (away from the center of the circle).

Sum of forces in the centripetal direction:

∑F = ma

mg − N = m v²/r

At the maximum speed, the normal force is 0.

mg = m v²/r

g = v²/r

v = √(gr)

v = √(9.8 m/s² × 14.2 m)

v = 11.8 m/s

3 0
3 years ago
A coin is placed on a large disk which rotates uniformly at a rate of 1 rot/s. The coefficient of friction between the coin and
s2008m [1.1K]

Answer:

r = 0.02 m

Explanation:

from the question we have :

speed = 1 rps = 1x 60 = 60 rpm

coefficient of friction (μ) = 0.1

acceleration due to gravity (g) = 9.8 m/s^{2}

maximum distance without falling off (r) = ?

to get how far from the center of the disk the coin can be placed without having to slip off we equate the formula for the centrifugal force with the frictional force on the turntable force

mv^2 / r =  m x g x μ

v^2 / r =  g x μ  .......equation 1

where

velocity (v) = angular speed (rads/seconds) x radius

angular speed (rads/seconds) = (\frac{2π}{60} ) x rpm

angular speed (rads/seconds) = (\frac{2 x π}{60} ) x 60 = 6.28 rads/ seconds

now

velocity = 6.28 x r = 6.28 r

now substituting the value of velocity into equation 1

v^2 / r =  g x μ

(6.28r)^2 / r = 9.8 x 0.1

39.5 x r = 0.98

r = 0.02 m

6 0
3 years ago
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