Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5

​

C
2/5×1/4

​

D
2/5÷1/4
​

The number of years it would take an investment to triple with continuous compounding is 1.356 years.

The formula for calculating future value of an investment when there is continuous compounding is FV = A x [tex]e^{r}[/tex] x N

Where:

N = log(3) / log(e) / 0.81 = 1.356 years

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Balance the reaction:

a FeS₂ + b O₂   =>   c Fe₂O₃ + d SO₂

Matching up the atoms on either side gives the system of equations

• Fe: a = 2c

• S: 2a = d

• O: 2b = 3c + 2d

We have 3 equations with 4 unknowns. Suppose we fix one of the variables, say a = 2. Then

2 = 2c   ===>   c = 1

2•2 = d   ===>   d = 4

2b = 3•1 + 2•4   ===>   b = 11/2

and so the balanced reaction is

2 FeS₂ + 11/2 O₂   =>   Fe₂O₃ + 4 SO₂

or

4 FeS₂ + 11 O₂   =>   2 Fe₂O₃ + 8 SO₂

Look up the molar masses of each component element:

• Fe: 55.845 g/mol

• S: 32.06 g/mol

• O: 15.999 g/mol

Then the molar masses of the reactants are

• FeS₂: 119.965 g/mol

• O₂: 31.998 g/mol

Convert the given masses to moles:

• (882 g FeS₂) (1/119.965 mol/g) ≈ 7.35 mol FeS₂

• (528 g O₂) (1/31.998 mol/g) ≈ 16.5 mol O₂

In the balanced reaction, 4 moles of FeS₂ combine with 11 moles of O₂, or equivalently 1 mol FeS₂ is needed for every 11/4 = 2.75 mol O₂. Now,

(16.5 mol O₂) / (2.75 mol O₂) = 6

while

(7.35 mol FeS₂) / (1 mol FeS₂) = 7.35

which means the reaction consumes all of the available O₂ and we're left with 7.35 - 6 = 1.35 mol FeS₂.

For every 11 mol O₂ among the reactants, 2 mol Fe₂O₃ are produced. Then 16.5 mol O₂ makes for

(11 mol O₂) / (2 mol Fe₂O₃) = (16.5 mol O₂) / x

===>   x = 3.00 mol Fe₂O₃

which has a mass of

(3.00 mol Fe₂O₃) (160. g/mol) ≈ 479 g Fe₂O₃

To find the mass of Fe2O3 produced, we convert the given masses of FeS2 and O2 into moles and use the molar ratio in the balanced chemical equation. The mass of Fe2O3 produced is 1170.68 grams.

To solve this problem, we need to convert the given masses of FeS2 and O2 into moles. From the balanced chemical equation, we can see that the molar ratio between FeS2 and Fe2O3 is 1:1.

This means that the number of moles of Fe2O3 produced will be equal to the number of moles of FeS2. We can use the molar mass of Fe2O3 to convert moles to grams.

First, we calculate the number of moles of FeS2 and O2:

Moles of FeS2 = 882 g / 120.17 g/mol = 7.34 mol

Moles of O2 = 528 g / 32 g/mol = 16.5 mol

Since the molar ratio between FeS2 and Fe2O3 is 1:1, we know that 7.34 moles of FeS2 will produce 7.34 moles of Fe2O3.

Now, we can calculate the mass of Fe2O3:

Mass of Fe2O3 = Moles of Fe2O3 x Molar mass of Fe2O3

Mass of Fe2O3 = 7.34 mol x 159.69 g/mol = 1170.68 g

Therefore, 1170.68 grams of Fe2O3 are produced.

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Using probabilities, it is found that the expected profit of one round of this game is of $0.

A probability is the number of desired outcomes divided by the number of total outcomes.

Hence, since the coin and the dice are independent, the probability of winning is:

[tex]p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}[/tex]

The expected value is the sum of each outcome multiplied by its respective probability.

In this problem:

Then:

[tex]E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0[/tex]

The expected profit of one round of this game is of $0.

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Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

Answer:  2.50 + 0.35(15.75-1)*4 = $23.15 is the answer

Step-by-step explanation: Hope this helps!

Answer:

1/2

Step-by-step explanation:

because I just took the test

Answer:

Step-by-step explanation:

35/100 = 7/20

Answer:

×=6/2=3

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

9514 1404 393

Answer:

  120

Step-by-step explanation:

We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...

  10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120

120 different 3-topping pizzas can be made if 10 toppings are available.

_____

Additional comment

If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.

Answer:

26 1/4 minutes or 1635 seconds

Step-by-step explanation:

Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.

Here is ur perfect answer

Answer:

second one

Step-by-step explanation:

Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.

The equation to represent the first customer is 4x + 10y = 32

The equation to represent the 2nd customer is 12x + 5y = 21

Solving the equations will be:

4x + 10y = 32 ...... i

12x + 5y = 21 ......ii

Multiply equation i by 12

Multiply equation ii by 4

48x + 120y = 384

48x + 20y = 84

100y = 380

y = 380/100 = 3.8

Therefore, we'll find the value for x which will be:

4x + 10y = 32

4x + 10(3.8) = 32

4x = 32 - 38

4x = -6

x = -1.5

Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.

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Answer:

Linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the system with two quadratic equations.

Both equations are of degree two.

This is therefore not linear.

Answer:

C.19

Step-by-step explanation:

-8 and +8 cancel out leaving only the 19

Answer:

A- 8x+9

Step-by-step explanation:

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

The slope is 3 this is intergers solution the right side is positive and left side is negative

Answer:

40

Step-by-step explanation:

Answer:

Where is the questions picture so I know what I am about to answer

Step-by-step explanation:

I need a pic.

Answer:

Step-by-step explanation:

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].

But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].

[tex]170000*\pi = 534070.75 (Rounded)[/tex]

Answer:

Step-by-step explanation:

21x1/12=1.75 cm

1.75x10=17.55 mm

17.55 mm

Answer:

Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.Step-by-step explanation:

Answer:

(2x-3)  (x=5)= minus 15

Step-by-step explanation:

i used an advanced calculator

Answer:

look at the picture ..........

Answer:

go get that girl

Step-by-step explanation:

sike  you use what you got the first time

Answer:

If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.

(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)

y= -3/2x - 3

putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture

Answer:

58%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial class size = 30 students

Class size now is 40% larger:

First let's find larged amount

[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]

[tex]\\ \sf\longmapsto 0.4(30)[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Class size=30+12=42students

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14