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Utilize graphing to find the solution to the following system of equations y = x + 3 AND y = -x + 5 ( [ ? ], [ ] )

From the question, we are to determine the number of moles and mass of KMnO₄ needed

From the given balanced chemical equation

5KNO₂ + 2KMnO₄ + 3H₂SO₄ → 5KNO₃ + 2MnSO₄ + K₂SO₄ + 3H₂O

This means 5 moles of KNO₂ is required to react completely with 2 moles of KMnO₄

First, we will determine determine the number of moles of KNO₂ present

From  the given information,

Mass of KNO₂ = 11.4 g

Using the formula,

[tex]Number\ of\ moles = \frac{Mass}{Molar\ mass}[/tex]

Molar mass of KNO₂ = 85.1 g/mol

Therefore,

Number of moles of KNO₂ = [tex]\frac{11.4}{85.1}[/tex]

Number of moles of KNO₂ = 0.13396 mole

Now,

If 5 moles of KNO₂ is required to react completely with 2 moles of KMnO₄

Then,

0.13396 mole of KNO₂ will react completely with [tex]\frac{0.13396 \times 2}{5}[/tex] mole of KMnO₄

[tex]\frac{0.13396 \times 2}{5}[/tex] = 0.053584 mole ≅ 0.0536 mole

Hence, the number of moles of KMnO₄ needed is 0.0536 mole

For the mass of KMnO₄ needed,

Using the formula,

Mass = Number of moles × Molar mass

Molar mass of KMnO₄ = 158.034 g/mol

Therefore,

Mass of KMnO₄ needed = 0.053584 × 158.034

Mass of KMnO₄ needed = 8.468 g

Mass of KMnO₄ needed ≅ 8.5 g

Hence, the mass of KMnO₄ needed to carry out the reaction is 8.5 g

Learn more on Stoichiometry here: https://brainly.com/question/6061451

Answer:

14

Step-by-step explanation:

The sides of an isosceles right triangle are 1-1- \sqrt{2}. Since the legs are 7\sqrt{2}, we multiply it by \sqrt{2} to get 14.

Answer:  [tex]\frac{2x^2+s^2}{x(x+s)}[/tex]

This is the fraction of 2x^2+s^2 all over x(x+s)

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Explanation:

Currently the denominators are not the same, so we cannot subtract the fractions just yet.

We need to get the denominators equal to the LCD (lowest common denominator).

In this case, the LCD is x(x+s). Often the LCD is the product of the denominators, but not always.

To get the first fraction to have the LCD, we multiply top and bottom by x.

[tex]\frac{3x}{x+s} = \frac{x*3x}{x(x+s)} = \frac{3x^2}{x(x+s)}[/tex]

To get the second fraction to have the LCD, we multiply top and bottom by x+s

[tex]\frac{x-s}{x} = \frac{(x+s)(x-s)}{x(x+s)} = \frac{x^2-s^2}{x(x+s)}[/tex]

I used the difference of squares rule to go from (x+s)(x-s) to x^2-s^2.

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At this point, we have x(x+s) in both denominators and we can subtract

[tex]\frac{3x}{x+s} - \frac{x-s}{x}\\\\\frac{3x^2}{x(x+s)} - \frac{x^2-s^2}{x(x+s)}\\\\\frac{3x^2-(x^2-s^2)}{x(x+s)}\\\\\frac{3x^2-x^2+s^2}{x(x+s)}\\\\\frac{2x^2+s^2}{x(x+s)}\\\\[/tex]

Optionally, you can distribute the x through in the denominator, but I'll leave it factored.

Answer:

No.

Step-by-step explanation:

Assuming 13 is the base. 3 can't be a slope, and 10 can't be a slope because the sids aren't long enough.

Answer: No

Step-by-step explanation:

This cannot form a triangle because the Triangle Inequality states that the sum of any two sides of a triangle must be greater than the other side.

This set of side lengths doesn't satisfy the Triangle Inequality, since 3 + 10 = 13, and 13 is not greater than 13.

In short, this doesn't form a triangle, instead it just forms a straight line.

If you want more info lookup Triangle Inequality on the internet.

hope this helps

Answer:

15

Step-by-step explanation:

Using the formula

A=πr2

Solving

r=√A/π

r=√706.97/22/7

r≈15.00118

Answer:

40 miles per hour

Step-by-step explanation:

480 divided by 12 equals 40, your answer

Please give brainliest thanks

The rate in miles per hour -- > miles/hour

      --> 480miles / 12 hours = 40 miles/hour

The rate in hours per miles --> hours/ mile

      --> 12 hours/ 480 miles = (1/40) hours/mile

Hope it helps!

Answer:

1308/12=109

Step-by-step explanation:

each payment is 109 dollars

i just divided 1308 by 12 and got 109

Answer:

$109

Step-by-step explanation:

12 payments = $1308

1 payment =?

= 1308÷12 = 109

Answer: Below

Step-by-step explanation:

So we can start off by solving this equation.

(x + 3)² = x² + 6x + 9

5(x² + 6x + 9) = 5x² + 30x + 45

5x² + 30x + 45 - 8 = 5x² + 30x + 37

Going off of this, we can already see that A is our answer.

Answer:

Calculator

Step-by-step explanation:

Literally all you have to do is multiply every number on one tow

iygm

it's actually easier than you might think

good luck!

✪According to question:-

Ben is 6 years older than Ishaan

So :-

put supposed values

Original Ages :-

✪Verification :

1st condition:-

put original ages

LHS=RHS

Hence verified !

Ben's age = 8 years

Answer: (0,1)

Step-by-step explanation:

When a line crosses the y-axis, the x-coordinate must equal to 0.

Now we can plug in x = 0 into the equation given:

y - 4*0 = 1

y- 0 = 1

y = 1

Therefore, the point where the line crosses the y-axis is (0,1)

Answer:

Please type full question. It is not full.

Answer:

27

Step-by-step explanation:

0.45 divide by 60 and you get 27

Answer:

27

Step-by-step explanation:

x/60 = 45/100

if you write it out, cross multiply then solve for x

Answer:

1. Even Degree

2. 6 zeros

Step-by-step explanation:

Determine if it’s an odd or even degree:—

  - The graph is shown approach positive infinity when both sides of x-values, negative and positive, both approach their respective infinity sides.

To put it simply, see when both negative x-values and positive x-values approach their negative or positive infinity, the y-values will always be positive, even if negative x-values approach negative infinity.

For a polynomial function to be an even degree, it must satisfy the following:—

[tex]\displaystyle \large{ \lim_{x \to \pm \infty} f(x) = \infty}[/tex]

As an odd degree, either negative or positive x-values will approach positive infinity or negative infinity, depending on the function itself.

From the graph, we can say that the function is an even degree.

__________________________________________________________

Summary I

  Even-Odd Degree

Even Degree, when both sides of x-value approach their respective infinity, y-value will always approach positive infinity.

Odd Degree, one side of y-value will approach positive infinity and another will approach negative infinity.

__________________________________________________________

Determine numbers of zeros:—

  - We can determine numbers of zeros by examining x-axis and the graph. How many times does the graph intersect or pass through x-axis? Count and you should get 6 intercepts.

Therefore, there are 6 real solutions/zeros for this function/equation.

__________________________________________________________

Summary II

  Determine zeros

To determine or check how many solutions or zeros do the graph/function/equation has, you can use the graph method. Simply count how many times does the graph pass through x-axis and x-intercepts are zeros.

__________________________________________________________

If you have any doubts regarding my answer or explanation, do not hesitate to ask in comment!

Answer:

1256

Step-by-step explanation:

You added the diameter for r and not the radius

3.14(20)^2

3.14(400)

1256

Answer:

3. m<x= 110  m<y=40

4. m<q=35   m<r=35

Step-by-step explanation:

All angles of a triangle must add up to 180 degrees

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(5-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{6^2+2^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{40}[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{10}units[/tex]

Answer:

15 boys and 25 girls in the class

Answer:

A.

Line A

Answer:200

Step-by-step explanation:

Volume formula: length x width x height

5x4x100=200

Answer:

-62

Step-by-step explanation:

f(x)=2(18-9x)+4x

f(7)=2(18-9(7))+4(7)

f(7)=2(18-63)+28

f(7)=2(-45)+28

f(7)=-90+28

f(7)=-62

Answer:

f(7) = -62

Step-by-step explanation:

Basically, what the question is asking us to do is to plug in 7 every time we see an x.

f(x) = 2(18 - 9x) + 4x

f(7) = 2(18 - 9(7)) + 4(7)

f(7) = 2(18-63) + 28

f(7) = 2(-45) + 28

f(7) = -90 + 28

f(7) = -62

Answer:

12.5

Step-by-step explanation:

add all  numbers and divide by 6

Answer:

i don't know I don't have ideas

Answer:

53 degrees

Step-by-step explanation:

because its at a right angle and measure 1 is 37 so 90-37 would equal 53

Step-by-step explanation:

because it is on a corner the hole corner = 90

1 + 2 = corner so

1+ 2 = 90

1 is 37

37 + 2 = 90

rearrange

90 - 37 = 2

so 2 = ???

Answer:

Step-by-step explanation:

The manager is not correct in her calculation.

Step-by-step explanation:

There are 244 males and n females who entered the mall as the manager at the shopping mall counts.

If 25% of all males are children, then the number of male children are .

Again, the 25% of all female are children, then the number of female chilfren are .

Therefore, the total number of children will be (60 + 0.25n).

But the manager gives the number of children to be 0.25n + 61 who entered the mall.

So, the manager is not correct in that calculation. (Answer)

The linear function that can be used to determine the height, H, of the plane after m minutes is given by:

H(m) = 8000 - 500m

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

Thus, the equation is:

H(m) = 8000 - 500m.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

16 and -3

16 times -3 equals 48

16 + (-3) is equal to 16 - 3 which is 13

Answer:

96m^2

Step-by-step explanation:

To find the area you must multiply length times width (l*w).

8*12 = 96

So 96 m^2

Answer:

X=21

Y=3

Z=21

BD=42

Step-by-step explanation:

X=21 (diagonals of a rectangle bisect each other)

Y=3. 21=7y

÷7

Y=3

Z=21 (diagonals of a rectangle bisect each other)

BD=X+Z

=21+21

=42