If someone helps me with dis ill give u brainliest

For a better understanding of the explanation provided here, please go through the graphs in the attached files. The first file contains the explanations to the first part of the question and the second file contains the three graphs required to explain the second part (the y intercept part) of the question.

It has been given to us that the pH concentration equation is:

$p(t)=-log_{10}t$

where, The variable t represents the amount of hydronium ions and p(t) gives the resulting pH level.

As can be seen from the first graph, pH is 1 when the amount of hydronium ions, t is 0.1. This is as expected, because, from the concept of logarithms we know that:

$log_{10}(0.1)=log_{10}(\frac{1}{10})=log_{10}(10^{-1})=-1\times log_{10}10=-1\times 1=-1$

Thus, $p(0.1)=-1\times-1=1$

Again, the value of pH, p(t) is 0 when the concentration of the Hydronium ions, t is 1. This, again, is as expected, because, from the concept of logarithms we know that $log(1)=0$ .

If the pool maintenance man uses our graph and needs to find the the pH level if the amount of hydronium ions is raised to 0.50, then to do so, the pool maintenance man must draw a vertical line from t=0.5 and check the x coordinate of the point where this vertical line intersects the p(t) graph. As we can see from the graph this roughly comes out to be the horizontal line y=0.3.

Let us now move on to the second part of the question. For a better understanding of this part please go through the second graph which has been attached. This graph contains all translations on the original graph and the explanation to each one of them is provided below:

Let us start with the last one, -p(t). We know that, since, $p(t)=-log_{10}(t)$ , therefore, $-p(t)=log_{10}(t)$ , simply a vertical "flip" or reflection of the original graph. And because the original graph did not have a y intercept, this graph too will not have a y intercept.

Let us now move on to the first one. Here, $p(t)+1=-log(t)+1$ . This graph will simply move the original graph vertically up by 1 unit and that will not have any bearing on the y intercept and thus, the graph of p(t)+1 will again, not have a y intercept.

Finally, let us move on to the graph of the equation p(t+1). As can be seen, this graph has a y intercept at the origin when t=0. This is because:

$p(t+1)=log_{10}(t+1)$

and when t=0, $p(t+1)=p(0+1)=log_{10}(0+1)$

$p(1)=log_{10}(1)=0$

Thus, when t=0, p(t+1)=0 too and thus we have a y intercept.

Therefore, out of the three transformations, only the middle transformation results in a y-intercept, the explanation for which has been provided.

8 0

4 years ago

when 4 is added to the difference between 5 times a number and 9 the result is greater than 10 * to 4 times the number what's th

Lubov Fominskaja [6]

5x - 9 > x*10^4
5x - 9 > x * 10000 I hope I'm reading the question correctly.
5x > 10000 x + 9
x > 10000/5 x + 9/5
x > 2000x + 1.8
0 > 1999x + 1.8
- 1.8 > 1999x
- 1.8 / 1999 > x
- 0.0009004 > x

3 0

3 years ago

Corey used the regression equation y = 1.505x − 88.21, where x is the temperature and y is the number of swimmers, to determine

blondinia [14]

x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80

This is how Corey should have solved

y = 1.505*x - 88.21

80 = 1.505*x - 88.21 <--- replace y with 80

1.505*x - 88.21 = 80

1.505*x = 80 + 88.21 <--- add 88.21 to both sides

1.505*x = 168.21

x = 168.21/1.505 <--- divide both sides by 1.505

x = 111.767

x = 111.8

If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.

3 0

3 years ago

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If someone helps me with dis ill give u brainliest​

If someone helps me with dis ill give u brainliest