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3 years ago

1.What is the solution to this system of linear equations?x + y = 4 x − y = 6

Mathematics

1 answer:

schepotkina [342]3 years ago

3 0

Answer:

If x+y=4×-y =6 then what is the question

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1. Contaminated water is subjected to a cleaning process. The concentration of the

Leokris [45]

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

6 0

4 years ago

The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,

shusha [124]

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

$m=\frac{100}{0.01}=10000$

Now, calculating the coefficient b (y-intercept), we have:

$\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}$

So the equation is:

$y=10000x$

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0

1 year ago

How many triangles can be formed with the angle measures: 20, 70, and 90 degrees?

sveta [45]

Answer:

A right triangle with degrees 20, 70, 90.

Step-by-step explanation:

6 0

3 years ago

Victor has a bag of dimes and quarters. He has a total of 36 coins worth $5.40.

nata0808 [166]

Answer:

{x+y=36

0.1x+0.25y=5.4

Step-by-step explanation:

just took the test sorry for being late

5 0

3 years ago

Read 2 more answers

A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim

Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or $4\ \text{inch}^3$ .

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or $\text{cm}^3$ .

$4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3$

So, the volume of the ball is 65.548 cm³.

7 0

4 years ago