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3 years ago

Thinking about 1/4 why is 1/4 equal a quarter and a reference to a dollar

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:

because 4 quarters make a dollar

Step-by-step explanation:

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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

3 years ago

Quinn earned $24.50 dog-sitting and $12.70 for recycling cans. Find thetotal amount he earned.

kozerog [31]

Answer: $37.20

Step-by-step explanation:

Just add those 2 amounts together

6 0

3 years ago

Read 2 more answers

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

3 0

3 years ago

Read 2 more answers

Pls help meeeee dew 5 minutes ago!!!

zheka24 [161]

H=2 and h>1, hope that helps

5 0

3 years ago

Read 2 more answers

Jessica made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklace

valentina_108 [34]

Answer:

If the total cost of the 4 necklaces was 18.40 then that means in order to find out how much she spent on pendents she needs to subtract the amount of beads from from the total cost so,

18.40-11.20=7.20

And cause she made 4 necklaces she is going to need to divide 7.20 by 4 to find out the cost of money that she had spent on each necklaces pendants.

7.20÷4=1.80

Meaning that she had spent $1.80 on each necklaces pendants

7 0

3 years ago