Balance this equation:
HgO ---> 2Hg + O2

Answer:

Step-by-step explanation:

Answer:

c = 5

Step-by-step explanation:

4c - 12 = 8

add 12 to each side to get:

4c = 20

divide each side by 4 to get:

c = 20/4 which is 5

Answer:

Step-by-step explanation:

The first one

To solve for angle A and angle B in the given triangle, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.

In this case, we have side a with length 2 and side c with length 9. Let's denote angle A as angle opposite side a and angle B as angle opposite side b (which is unknown).

Using the Law of Sines, we have:

sin(A) / a = sin(B) / b

Plugging in the known values, we get:

sin(A) / 2 = sin(B) / 9

To find angle A, we can use the arcsine function:

A = arcsin((sin(B) / 9) * 2)

To find angle B, we can rearrange the equation:

sin(B) = (sin(A) / 2) * 9

B = arcsin((sin(A) / 2) * 9)

Now we can calculate the angles using a calculator:

A ≈ 19.5 degrees (rounded to one decimal place)

B ≈ 84.1 degrees (rounded to one decimal place)

Therefore, angle A is approximately 19.5 degrees and angle B is approximately 84.1 degrees.

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Answer:

x = -3

Step-by-step explanation:

7x+10 = -4x-23

11x+10 = -23

11x = -33

x = -3

Answer:

x= -33/4

Step-by-step explanation:

Step-by-step explanation:

13x + 15 = 19x - 9 ( being opposite sides of parallelogram)

19x - 13x = 15 + 9

6x = 24

x = 24 / 6

x = 4

4y + 7° + 10y - 37° = 180° {being co-interior angles }

14y = 180° - 7° + 37°

14y = 210°

y = 210°/ 14

y = 15°

Hope it will help :)

Answer:

4\(\sqrt{3xy}\)

Step-by-step explanation:

4 is a perfect square.  We can pull 2 out from under the square root symbol.

The prime factor of 12 is 2.2.3.  We can pull another 2 outside of the square root symbol.  2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.

The probability of getting omeone is  25.3%

Find the probability of getting omeone in the 18-21 age bracket or omeone who repond?

Define the two events

A = someone is in the 18-21 age bracket

B = the person does not respond

Based on the table, we have

n(A) = number of people in set A = 76

n(B) = 31

n(A and B) = 11

So,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 76+31-11

n(A or B) = 96

We have 96 people in the age 18-21 bracket, they didn't respond, or both.

Divide this over the 379 people surveyed

96/379 = 0.253 = 25.3%

Answer: 25.3%

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The point R must also have a y-coordinate of 2. Since R is equidistant from P and Q,

Since △PQR is equilateral, we know that all three sides are congruent. Therefore, the distance between points P and Q is equal to the distance between points P and R or Q and R.

The distance between P and Q is 8 units (5-(-3) = 8), so the distance between P and R or Q and R must also be 8 units.

Since the triangle is equilateral, the point R must be located on a line that is equidistant from points P and Q. This line is the horizontal line passing through the midpoint of PQ.

The midpoint of PQ is ((-3+5)/2, (2+2)/2) = (1,2). Therefore, the point R must also have a y-coordinate of 2.

Since R is equidistant from P and Q, it must lie on the vertical line passing through the midpoint of PQ. This line is the line x = 1. Therefore, the coordinate of vertex R is (1,2).

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

The answer is D.

Step-by-step explanation: Because It makes sense.

Step-by-step explanation:

I believe the answer is C.

The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.

In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.

A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.

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i hate math how about you

The equation that correctly applies the distributive property of multiplication is C. ​(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)​.

The distributive property of multiplication indicates that a mathematical expression in the form of a(b + c) can also be expressed to be equal to ab + ac.

When doing multiplication operations involving addition or subtraction, the distributive property can be used because it yields the same solution.

(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2) = 0.5⋅(0.5+0.3+0.2)​

= 0.5 x 0.5 + 0.5 x 0.3 + 0.5 x 0.2

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We have proven that E[(X - μ₂)²] = E[X²] - μ².

To prove the equation E[(X - μ₂)²] = E[X²] - μ², we'll start by expanding the left side of the equation:

E[(X - μ₂)²] = E[X² - 2Xμ₂ + μ₂²]

Now, we can distribute the expectation operator E[] over each term:

E[X² - 2Xμ₂ + μ₂²] = E[X²] - 2E[Xμ₂] + E[μ₂²]

Next, let's focus on the term E[Xμ₂]. We can rewrite it as:

E[Xμ₂] = μ₂E[X] (since μ₂ is a constant)

Now, substituting this back into our equation, we have:

E[X²] - 2E[Xμ₂] + E[μ₂²] = E[X²] - 2μ₂E[X] + E[μ₂²]

We can further simplify E[μ₂²] as:

E[μ₂²] = μ₂² (since μ₂ is a constant)

Substituting this back into the equation, we get:

E[X²] - 2μ₂E[X] + μ₂² = E[X²] - 2μ₂E[X] + μ₂²

Now, notice that we have -2μ₂E[X] + μ₂². We can rewrite this as:

-2μ₂E[X] + μ₂² = -(2μ₂E[X] - μ₂²) = -2μ₂(E[X] - μ₂)

Substituting this back into the equation, we have:

E[X²] - 2μ₂E[X] + μ₂² = E[X²] - 2μ₂(E[X] - μ₂)

Finally, we can rewrite E[X] - μ₂ as the mean of X, which is μ:

E[X²] - 2μ₂(E[X] - μ₂) = E[X²] - 2μ₂μ

Simplifying further, we have:

E[X²] - 2μ₂μ = E[X²] - μ²

Therefore, we have proven that E[(X - μ₂)²] = E[X²] - μ².

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Answer:

$1,344 is her total.

Step-by-step explanation:

0.2 x 1120 = 240 + 1120

Answer:

The correct answer is c, Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.

We want to study the possible solutions of a system of equations where one equation is a parabola and the other equation is a line.

We will see that the correct option is A:

"Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9."

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

Here we have the system of equations:

Isabel claims that one of the solutions to the system must always be the vertex of the parabola.

Now, the solutions of the system are the points where both graphs intersect, so to find the solutions we can write:

(x + 3)^2 = y = m*x + 9

Then the solutions can be found by solving:

(x + 3)^2  = m*x + 9

Now, the vertex of the parabola is at x = 0, so to test Isabel claim, we can evaluate the above expression in x = 0 to get:

(0 + 3)^2  = m*0 + 9

3^2 = 9

9 = 9

This is true, so Isabel is correct, there will always be a solution and that solution is the vertex of the given parabola.

Then the correct option is:

A: Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9.

(Option B is incorrect because the y-intercept of line B is written incorrectly there).

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Answer:

cow is 65bpm

horse is 38bpm

Step-by-step explanation:

cow is given

horse divide total beats by total min

Answer:

796 feet

Step-by-step explanation:

The difference between the amount of money she will have in Euros and the amount she will have in British pounds will be zero.

Kathy needs to exchange half of her US dollars into British pounds and half of her US dollars into euros. Since it is given that pound is equal to USD and euro is also equal to USD, when she withdraws half of her US dollars as British pounds and half of it as euros, she will have the same amount of pounds and euros. Thus, the difference between the amount of money she will have in Euros and the amount she will have in British pounds will be zero. Therefore, she will have the same amount of money in both currencies, and the answer to the question is 0 (rounded to the nearest whole number).

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\(\boxed{\sf S_n=3^n-1}\)

Now

\(\\ \sf\longmapsto S_8=3^8-1\)

\(\\ \sf\longmapsto S_8=6561-1\)

\(\\ \sf\longmapsto S_8=6560\)

The number of rides is an illustration of a linear function.

The expression for the number of rides is: \(\mathbf{x = -\frac{100}{m}}\)

The function is given as:

\(\mathbf{y = mx + b}\)

Where:

The given parameters are:

\(\mathbf{y =0, b = 100\ and\ m < 0}\)

So, we have:

\(\mathbf{0 = mx + 100}\)

Subtract 100 from both sides

\(\mathbf{mx = -100}\)

Divide both sides by m

\(\mathbf{x = -\frac{100}{m}}\)

So, the expression for the number of rides is: \(\mathbf{x = -\frac{100}{m}}\)

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The required component form of the vector V is given as  v=<51.3,-73.3>. Option D is correct.

Vector is defined as property of object that describes both magnitude and direction of object when in motion is called vector.

here,
|V| = 89.5
and Ф = 305
now,
x component = |V| cos305°
                    = 89.5×cos305° = 51.3

y component =  |V| sin305°

                    = 89.5×sin305° = -73.3

Thus, the required component form of the vector is given as  v=<51.3,-73.3>. Option D is correct.

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Answer:

312.5 miles!!!!!!!!!!!!

\(y = {x}^{2} + 4x - 12\)

Answer:

10 miles

Step-by-step explanation:

Given

\(\displaystyle \text{Time}=\frac{\text{Distance}}{\text{Speed of Driving}}=\frac{\text{Distance}}{\text{25\,\text{mph}}}\)

\(\displaystyle \text{Time}=\frac{\text{Distance}}{\text{Speed of Cycling}}=\frac{\text{Distance}}{\text{10\,\text{mph}}}\)

\(36\,\text{minutes}=0.6\,\text{hours}\)

Create an equation and solve

\(\displaystyle \text{Driving Time}+\text{Extra Time}=\text{Cycling Time}\\\\\frac{\text{Distance}}{\text{Speed of Driving}}+0.6=\frac{\text{Distance}}{\text{Speed of Cycling}}\\\\\frac{\text{Distance}}{25}+0.6=\frac{\text{Distance}}{10}\\\\2*\text{Distance}+30=5*\text{Distance}\\\\30=3*\text{Distance}\\\\10=\text{Distance}\)

Therefore, George's home is 10 miles from his school.

Answer:

false

Step-by-step explanation:

false

Answer:

it is false it'll be (-infinity,infinity )

Step-by-step explanation:

Hope this helps!! <3

Answer:

112 guests

Step-by-step explanation:

I. If her total cost is 773$

When Total = DJ + Cake + Guest

            773 = 250 + 75 + 4(x)

            773 = 325 + 4(x)

            773 - 325 = 4(x)

            448 = 4x

               x = 448/4

               x = 112

That makes guests are 112

Answer: Yes the sum of any two numbers is greater than the larger of the two numbers.

Step-by-step explanation:

Yes the sum of any two numbers is greater than the larger of the two numbers.

Let us assume that the two numbers are a and b and ab is the number.

a + b > a

b > a – a

b > 0

This therefore implies that b > 0.

This may however not be true when the value of b is zero(0) or a negative number.