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il63 [147K]
3 years ago
12

The equation y=1/9x relates proportional quantities x and y.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

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Simplify 9 log9 (7) is the answer 7
Aleks04 [339]
log_ab=c\ \ \ \Leftrightarrow\ \ \ a^c=b\\\\log_97=x\ \ \ \Leftrightarrow\ \ \ 9^x=7\\\\9^x=7\ \ \ (and \ \ \ x=log_97)\ \ \ \Rightarrow\ \ \ 9^{\big{log_97}}=7
3 0
3 years ago
Solve foR a12-3(a-1)=11+a
9966 [12]

Answer:

Solve for a

a12−3(a−1)=11+a

Write the problem as a mathematical expression.

a12−3(a−1)=11+a

Simplify each term.

a12−3a+3=11+a

Graph each side of the equation. The solution is the x-value of the point of intersection.

a≈−1.1114621,1.23792371

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the LMC for 2x^2 - 8x + 8 and 3x^2 + 27x -30?
Vsevolod [243]

Answer:

2

Step-by-step explanation:

1st step: solve the exponential number

2x^2=4x

3x^2=9x

2nd step: rewrite the number sentence with the exponent solved

4x-8x+8                                  9x+27x-30

3rd step : solve  

 4x-8x=-4x                               9x+27x=36x

-4x+8=                                            36x-30=

    4                                                   6                  

                                                                                                   

Step 4: See what least common multiples they have in common

4 LCM =2 * 2= 4                          6 LCM= 2*3=6


So the LCM is 2

4 0
2 years ago
As more and more people get their news online, the subscriptions to the Dorchester Daily has declined over the past years.
atroni [7]

Answer:

Step-by-step explanation:

The function s(x)=0.9(.82)^x models the number of subscription in tens of thousands where x represents the number of years since the trend has been observed.

s(x) represents the number of subscriptions to the Dorchester Daily in a given year.

0.9 in ten thousands represents the initial number of subscriptions to the Dorchester Daily in a given year.

0.82 represents the rate at which the number of number of subscriptions to the Dorchester Daily is declining. The rate in percentage is 100 - 82 = 12% each year.

x represents the number of years since the trend has been observed.

3 0
3 years ago
How are percent transmittance and absorbance related algebraically?
statuscvo [17]

Answer:

So, if all the light passes through a solution without any absorption, then absorbance is zero, and percent transmittance is 100%. If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

Absorbance is the inverse of transmittance so,

A = 1/T

Beer's law (sometimes called the Beer-Lambert law) states that the absorbance is proportional to the path length, b, through the sample and the concentration of the absorbing species, c:  


A ∝ b · c

As Transmittance, T =\dfrac{P}{P_0}

% Transmittance, \%T=100\times T

Absorbance,

A=\log_{10} \dfrac{P_0}{P}\\\\A =\log_{10}\times \dfrac{1}{T}\\\\A=\dfrac{\log_{10} 100}{\%T}\\\\A=(2 - log_{10})\times \%T

Hence, A=\log_{10}\times \dfrac{1}{T} is the algebraic relation between absorbance and transmittance.


8 0
2 years ago
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