Expand and simplify 4(2x+4)+5(4x+3)

Round 1.963 to the nearest tenth

faust18 [17]

Answer:

Step-by-step explanation:

1.963 to the nearest tenth is 2.0 or 2

8 0

4 years ago

In which direction does the head of the molecules of the plasma membrane face?

kiruha [24]

Answer:

toward the outside

Step-by-step explanation:

The plasma membrane is composed of the phospholipid bilayer and cholesterol.The phospholipids have a head and two tails.The head is water loving, hence it is termed as polar/hydrophilic.The tails are nonpolar/ water fearing/hydrophobic.Both inside and outside the cell, water is vital thus the phospholipid line up in two layers where the head points outwards and the tails hidden in the middle.

6 0

4 years ago

Read 2 more answers

Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is

Zarrin [17]

Answer:

0. $1,000 1. $1,045 2. $1,092.03 3. $1,141.17 4. $1,192.52. 5. $1,246.18 6. $1,302.26 7. $1,360.86 8. $1,422.10

Step-by-step explanation:

First you start with the beginning balance of $1,000 dollars, then you multiply that by 1.045 to get $1,045 dollars after one year. Then you multiply $1,045 by 1.045 to get $1,092.025 (monetarily correct, it would be $1,092.03) after the second year. Then you multiply $1,092.025 (keeping it un-rounded for precision) by 1.045 to get $1,141.16612 after the third year. Then you multiply $1141.16612 by 1.045 to get $1,192.5186 after the fourth year. Multiply $1,192.5186 by 1.045 to get $1,246.18193 after the fifth year. Multiply $1,246.18193 by 1.045 to get $1,302.26012 after the sixth year. Multiply $1,302.26012 by 1.045 to get $1,360.86182 after the seventh year. Multiply $1,360.86182 by 1.045 to get $1,422.10061 after the eighth year. Basically, Michelle is going to be a trust fund baby by the time she's twenty and she won't have to worry about college if she works hard and does well in high school.

8 0

3 years ago

How to divide a small number by a bigger number?

EastWind [94]

To divide a small number by a bigger number, just see how many times the smaller number fits into the bigger number.

6 0

3 years ago

If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures

Kobotan [32]

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