How many electrons does it take to reduce oxygen to water?.

The equation of the plane through the origin and the points (2, –4, 6) and (5, 1, 3) is - 9x + 12y + 11 x = 0.

The general equation of a plane through (0, 0, 0) is a(x - 0) + b(y - 0) + c(z - 0) = 0

Since the plane passes though the origin, the equation of the plane is given by ( x, y, z ) = 0. Simplify it so that you write the equation of the plane in the form a x + b y + c z = 0

ax + by + cx = 0...(1)

It will pass through B(2, -4, 6) and C(5, 1, 3) if

a(2) + b(-4) + c(6) = 0

2a - 4b + 6c = 0

a - 2b + 3c = 0 ...(2)

a(5) + b(1) + c(3) = 0

5a + b + 3c = 0 ... (3)

Solving (2) and (3) by cross-multiplication, we have

\(& \frac{a}{-6-3}=\frac{b}{15-3}=\frac{c}{1+10} \\\)

\(& \Rightarrow \frac{a}{-9}=\frac{b}{12}=\frac{c}{11}=\lambda\) (say) }

\(& \Rightarrow\) a = - 9 \(\lambda\), b = 12 \(\lambda\)  and c = 11 \(\lambda\)

Substituting the values of a, b and c in (1), we get

- 9 \(\lambda\) x + 12 \(\lambda\) y + 11 \(\lambda\) x = 0

- 9x + 12y + 11 x = 0

which is the required equation of the plane.

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Answer:

ABC in the given figure is an equilateral triangle, its all sides are equal. AB = BC = CA. (i) A triangle in which all the three angles are acute is called an acute angled triangle

Answer:

-22, 4, -27, 2

Step-by-step explanation:

-10 + (-12) = -10 - 12 = -22

-3 + 7 = 4

-11 - 16 = -27

-13 - (-15) = -13 + 15 = 2

Answer:

-22 4 -27 2

Step-by-step explanation:

-10 + (-12) = -22

-3 + 7 = 4

-11 - 16 = -27

-13 -(-15) = 2

The smaller number, x, is 77/24, which can be expressed as 6 1/2 when simplified.

Let's assume the smaller number is x. According to the problem, the other number is 3 1/3 greater than x, which can be expressed as x + 3 1/3.

If we double the sum of these two numbers, it should be equal to 19 and 1/2. Mathematically, we can represent this as:

2(x + x + 3 1/3) = 19 1/2

Simplifying the equation, we have:

2(2x + 10/3) = 19 1/2

4x + 20/3 = 39/2

To solve for x, we can multiply both sides of the equation by 3 to eliminate the fraction:

12x + 20 = 58 1/2

12x = 58 1/2 - 20

12x = 38 1/2

Now, let's convert 38 1/2 to an improper fraction:

38 1/2 = (2 * 38 + 1) / 2 = 77/2

Dividing both sides of the equation by 12, we find:

x = (77/2) / 12

x = 77/2 * 1/12

x = 77/24

So, the smaller number, x, is 77/24, which can be expressed as 6 1/2 when simplified.

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The set that includes all the elements that are shared between two sets, set A and set B, is known as the intersection of the two sets. The intersection is represented by the symbol "∩".

It is essentially a subset of both sets, containing only the elements that are present in both sets.

For instance, if set A contains the numbers 1, 2, 3, and 4, while set B contains the numbers 2, 3, 4, and 5, then their intersection will be the set {2, 3, 4}.

The concept of intersection is frequently used in various areas of mathematics, such as set theory, algebra, and geometry, among others.

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Answer:

625 cubic feet

Step-by-step explanation:

Given data

Base area= 125 square feet

Height = 15feet

The expression for the volume of a pyramid is given as

V= a^2*h/3

but a^2= 125 square feet

V= 125*15/3

V= 1875/3

V=625 cubic feet

The probability of rolling the same number on all three dice can be found by multiplying the probabilities of rolling the same number on each individual die. The probability of rolling the same number on the 6-sided die is 1/6, the probability of rolling the same number on the 8-sided die is 1/8, and the probability of rolling the same number on the 12-sided die is 1/12. Multiplying these probabilities together gives us the probability of rolling the same number on all three dice: (1/6) * (1/8) * (1/12) = 1/576.

The probability of rolling a "4" on one of the dice and it being the 6-sided die can be found by multiplying the probability of rolling a "4" on the 6-sided die (1/6) by the probability of picking the 6-sided die at random (1/3). This gives us a probability of (1/6) * (1/3) = 1/18.

The probability of the smallest number rolled being at least 3 can be found by subtracting the probability of the smallest number being less than 3 from 1. The probability of the smallest number being less than 3 is the probability of rolling a 1 or a 2 on each of the dice: (2/6) * (2/8) * (2/12) = 1/72. Therefore, the probability of the smallest number being at least 3 is 1 - (1/72) = 71/72.

The probability of the product of the three numbers rolled being even can be found by subtracting the probability of the product being odd from 1. The probability of the product being odd is the probability of rolling an odd number on each of the dice: (3/6) * (4/8) * (6/12) = 1/8. Therefore, the probability of the product being even is 1 - (1/8) = 7/8.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Percentage of voters who plan to re-elect mayor = 44%

Margin of Error in measurement = ±3 % points

The absolute value inequality to find the lowest and greatest percent of points :

X = mid value

44% = estimated percentage

≤3 = error margin

Hence,

|mid value - estimate| ≤ error margin

|x−44|≤3

Hence,

-3 ≤ x - 44 ≤ +3

-3 + 44 ≤ x ≤ 3 + 44

41 ≤ x ≤ 47

Hence,

Least percentage point = 41

Greatesr percentage point = 47

Answer:

6 hours

Step-by-step explanation:

\(\frac{1}{6}\) of Total battery life = \(\frac{1}{6} * 3600 = 600\)milliamps

Assuming the battery takes 100 Milliamps per hour,

Time = Battery Capacity / Current hours

Time = 600 / 100 Mah = 6H

Step-by-step explanation:

gradient of A: (54-2)/(-23-(-3)) = 52/-20 = -2.6

since a and b are parallel, gradient is same

let eqn of b be y = mx + c

0 = -2.6(-8) + c

c = -20.8

therefore eqn is y = 2.6x - 20.8

The value of the equation of line B is,

⇒ y = - 2.6 (x + 8)

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Line A passes through the points (- 3, 2) and (- 23, 54).

Hence, The equation of line passes through the points (- 3, 2) and

(- 23, 54).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (54 - 2) / (- 23 + 3)

m = 52 / - 20

m = - 2.6

Hence, Equation of line B passes through (- 8, 0) is,

⇒ y - 0 = - 2.6 (x - (-8))

⇒ y = - 2.6 (x + 8)

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Volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

The given figure is a hexagonal pyramid.

The base of the pyramid is hexagon.

We have to find the base of the pyramid by formula :

Base area = 3√3/2a²

Where a is the base length.

Base area = 3√3/2(13)²

= 3√3/2 ×169

=439.07 square inches.

Volume =√3/2b²h

h is height which is 30 in and b is base length of 13 in.

Volume =√3/2×169×30

=√3/2×5070

=2535×√3

=4390.74 cubic inches.

Hence, volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

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Answer:

con you be more organized on how you post the question will answer if fixed

Step-by-step explanation:

Step-by-step explanation:

discretion data is something that will never change

continous data is data that will continue to become either larger or smaller

discret = ticket sales, number of employees

continuous = age,height

Answer:

25%

Step-by-step explanation:

Since there are 24 apples, and 6 are bad, to find the percentage of the bad apples, you do bad apples/total apples

6/24=.25

0.25 is 25%

The order of integration reversed as

\(\(\int_0^1 \int_{-2s}^0 F(s,t) dt ds = \int_1^0 \int_{0}^{-2s} F(s,t) ds dt\)\)

To reverse the order of integration in the double integral \(\(\int_0^1 \int_{-2s}^0 F(s,t) dt ds\)\), rewrite it as \(\(\int_a^b \int_{c}^{d} F(s,t) ds dt\)\).

Given that the inner integral is with respect to t and the limits of integration for t are [-2s, 0], we can determine the corresponding limits for s.

At t = 0, we have s = 0

Since -2s = 0. And at t = -2s, we have s = 1 since -2s = -2.

Therefore, we can rewrite the integral as:

\(\(\int_0^1 \int_{-2s}^0 F(s,t) dt ds = \int_1^0 \int_{0}^{-2s} F(s,t) ds dt\)\)

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Answer:

29/6

Step-by-step explanation:

1 + -2/3 - -m

1 -2/3 +m

1/3 +m

Let m = 9/2

1/3 + 9/2

Get a common denominator

1/3 *2/2 + 9/2*3/3

2/6 + 27/6

29/6

Answer:

29/6

Step-by-step explanation:

When a researcher draws conclusions about a population based on the results of a test on a sample, he or she is most likely using inferential statistics. Therefore Option A is correct.

Inferential statistics: It involves using sample data to make inferences or draw conclusions about a population. In this case, the researcher is using the results from the sample to make inferences about the population from which the sample was drawn.

Deductive statistics, inductive statistics, and descriptive statistics are other branches of statistics that are used for different purposes.

Therefore the researcher draws a conclusion to use inferential statistics about a population based on test of sample.Option A is correct.

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Answer:

1 and 1/3.

Step-by-step explanation:

Just ask!

Hope this helps...(sorry if I'm wrong.)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

Step-by-step explanation:

265 < 300, so 0.265 < 0.3

Yes, changing the speed of the tangential in-feed capper affects the bottle discharge.

The tangential in-feed capper machine is used in the food and beverage industry to close bottles or containers of various shapes and sizes. It ensures the bottles are sealed properly to keep their content fresh and prevent spillage. The machine features a conveyor belt that carries the bottles to the capping station where they receive a cap or lid.

The speed of the tangential in-feed capper can be adjusted to match the production line speed, which is measured in bottles per minute (BPM). If the speed of the capper is increased, the discharge of bottles will also increase because more bottles are being sealed and pushed out of the machine. If the speed of the capper is decreased, the discharge of bottles will also decrease because fewer bottles are being sealed and pushed out of the machine.

It is important to note that changing the speed of the tangential in-feed capper affects the efficiency and productivity of the production line, which can have an impact on the overall output of the manufacturing process.

Therefore, it is essential to monitor and adjust the speed of the machine accordingly to maintain optimal performance.

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Answer:

m=4

Step-by-step explanation:

m + 7 = 11

m = 4

Answer:

M=4

Step-by-step explanation:

11-7=4 therefore M= 4 ----- hope this helps!

Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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Answer:

Step-by-step explanation:

so

V = energy / q

The potential difference * charge = potential energy change of charge

delta V = 10J/(5*10^-6) = 2*10^6 volts

Answer:

\(10(3x+7)\)

Step-by-step explanation:

we have the expression:

\(30x + 70\)

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

\(10*3=30\\10*7=70\)

so we can substitute this into the expression:

\(10*3x+10*7\)

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

\(10(3x+7)\)

Answer:

The Answer is 10(3x+7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Square A:

Area = 225 square feet

side *side = 225

        Side =√225

                 \(=\sqrt{15*15}\)

   Side of square A = 15 ft

Square B:

Area = 400 square feet

Side =√400

       = \(\sqrt{20*20}\)

Side of square B = 20 ft

Use Pythagorean theorem for finding the side of Square C.

Side of square A is the altitude ;  side of square B is the base and side of square C will be the hypotenuse

hypotenuse² = base² + altitude²

                      = 15² + 20²

                       = 225 + 400

                       = 625

hypotenuse = \(\sqrt{625} =\sqrt{25*25}\) = 25 ft

Area of square C = 625 square ft

In short,

Area of square C = area of square B + area of square A

                             = 400 + 225

                             = 625 square ft

The perimeter of the rectangle is got increased by a factor of 2. The correct option is A.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In rectangle opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Given

A rectangle has a width of 12.5 m and a length of 105 m.

We know the perimeter of the rectangle is given by

Perimeter = 2 (Lenght + Width)

Let x be the length and y be the width. Then

Perimeter = 2 (x + y)

If the dimensions are multiplied by 2. Then the effect on the perimeter will be

Perimeter = 2 (2x + 2y)

Perimeter = 2 [2 (x + y)]

The perimeter is increased by a factor of 2.

Thus, option A is correct.

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Answer:

x < 7

Step-by-step explanation:

-6x > -42

Divide each side by -6, remembering to flip the inequality

-6x/-6 < -42/-6

x < 7

Answer:

\(\boxed{x<7}\)

Step-by-step explanation:

\(-6x > -42\)

Divide both sides by -6 (flip sign).

\(\displaystyle \frac{-6x}{-6} < \frac{-42}{-6}\)

\(x<7\)