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notsponge [240]
4 years ago
13

ula1" title="(y - 1) log_{10}(4?) = log_{10}(16?) " alt="(y - 1) log_{10}(4?) = log_{10}(16?) " align="absmiddle" class="latex-formula">
find the value of y​
Mathematics
1 answer:
Shkiper50 [21]4 years ago
4 0

Answer:

<h2>3</h2>

Step-by-step explanation:

Given the log function (y-1)log_{10}(4) =  log_{10} 16\\ \\ to get the value of y, the following steps must be carried out;

(y-1)log_{10}(4) =  log_{10} 16\\\\(y-1)log_{10}(2^2) =  log_{10} 2^4\\\\ (y-1)2log_{10}(2) =  4log_{10} 2\\ \\DIvide\ both\ sides\ by \ log_{10}2\\\\\frac{2(y-1)log_{10}2 }{log_{10}2}  = \frac{4log_{10}2}{log_{10}2} \\\\2(y-1) = 4\\\\

Open the bracket

2y-2(1) = 4\\\\2y -2 = 4\\\\add \ 2 \ to \ both \ sides\\\\2y-2+2 = 4+2\\\\2y = 6\\\\Divide \ both \ sides\ by \ 2\\\\2y/2 = 6/2\\\\y = 3

Hence the value of y is 3

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

3 0
1 year ago
The next model of a sports car will cost 4.4% more that the current model. The current model costs $48,000, How much will the pr
podryga [215]

Answer:

$50,112.  Increase is $2,112

Step-by-step explanation:

1st way.  $48,000 x 1.044 = $50,112.  1.044 is the same thing as saying 104.4% of the total price in decimal form, which is what the new price would be when adding 4.4% to the 100% of the original price.  To get the amount of increase just find the difference in the two.  $50,112-$48,000 = $2,112

2nd way.  $48,000 x .044.  =  $2,112 .044 is 4.4% in decimal form. So you found the increase here.  Add the increase to the original price.  $48,000 + $2,112 to get the new price of $50,112.

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suter [353]
The answer is  day 6 because the kitchen s production is now 50 pot stickers per hour.So  it went up , which makes a good/positive impact on production.
 
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4 years ago
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..................#2

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What is the multiplicative inverse or -3/4
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