Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

The class equation is if G is a nontrivial finite group whose order is a power of a prime p, is the centralizer of G, and is the centralizer of the element a. (1) Here, the sum runs over representatives of all conjugacy classes that have more than one element.

The commutativity degree, which indicates the likelihood that two members of a group will commute between themselves, is related to the class equation in group theory [3]. The definition is as follows: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .

In group theory, there is a connection between the class equation and the commutativity degree, which indicates the likelihood that two members of a group will commute between themselves [3]. The following is the definition: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

Multiply the 27 yd × 30 yd then after the other one do the same thing but after All divide it by 17

Answer:

Because blue has the least amount of marbles in there

Step-by-step explanation: Because Blue has 2 blue marbles which are smaller than any one of the rest of the marbles. Ur welcome

Mark as brainlyest?

The probability of getting not blue marble is \(\frac{7}{8}\).

Probability is a measure of happening or non-happening of the outcomes of a random experiment.

P(E) = number of favorable outcomes/ total number of outcomes

According to the given question.

Total number of red marbles = 5

Total number of yellow marbles = 4

Total number of green marbles = 5

Total number of blue marbles = 2

⇒ Total number of marbles = 5 + 4 + 5 + 2 = 16

So, total number of outcomes = 16

Now, probability of getting blue marble = \(\frac{2}{16} = \frac{1}{8}\)

Therefore, the probability of getting not blue marble = \(1 -\frac{1}{8} =\frac{7}{8}\)

Hence, the probability of getting not blue marble is \(\frac{7}{8}\).

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The measure in radians for the central angle is approximately 0.7 radians.

To find the measure in radians for the central angle of a circle, we can use the formula:

θ = s / r

where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.

In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.

Plugging these values into the formula, we have:

θ = 5.6 cm / 8 cm

Simplifying the expression:

θ = 0.7

We may use the following formula to get the centre angle of a circle's measurement in radians:

= s / r

s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.

The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.

When these values are plugged into the formula, we get:

θ = 5.6 cm / 8 cm

Condensing the phrase:

θ = 0.7

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In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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Answer  :      x= \(\sqrt{2wy}\)/ y

Step-by-step explanation:

By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion  \("2x + 3 = 9"\) states that the word  \("2x + 3"\) Corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations \("x2 + 2x - 3 = 0\)  ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.

Abby, according to the picture, spent:

She spends 25% of her time in school.

She spends 40% of her time at work and 15% of her time on other hobbies.

Therefore, Furthermore, she spends  \(20\) of her time napping.

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The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

x is 20

Step-by-step explanation:

3x-14=46

3x=60

x=20

Answer:

20

Step-by-step explanation:

3x-14=46 (shifting -14 to right side)

3x=46+14

3x=60

x=60/3

x=20

plz mark brainliest

Answer:

\((a)\)  \(dy = 5sec^2(5t) \ dt\)

\((a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt\)

Step-by-step explanation:

Given;

(a) y = tan(5t)

\((b) \ y = \frac{5-v^2}{5+v^2}\)

Solving for (a)

y = tan(5t)

let u = 5t          

⇒y = tan(u)

du/dt = 5

dy/du = sec²u

\(\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)\)

\(dy = 5sec^2(5t) \ dt\)

Solving for b;

let u = 5 - v²

du/dv = -2v

let v = 5+ v²

dv/du = 2v

\(\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\\)

\(\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt\)

Given curves:

See the attached, where both curves and their intersection is shown.

According to this we have:

Answer:

x = 96.05 bushels

p = $2.84

Step-by-step explanation:

Graph the two equations (see attachment).

The market equilibrium is the point of intersection of the graphs for x > 0.

From inspection of the graph, the point of intersection is (96.05, 2.84).

Therefore:

Answer:

AB> sorry if I'm incorrect

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 2 observations remaining in the data

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values. we have

Number of observations = 5

Observations with missing values = 3

So, we have

Remaining =5 - 3

Evaluate

Remaining = 2

Hence, the remaining observations is 2

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Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

Rs 1000.97

Step-by-step explanation:

x = original price

new price =   x (1.0909)(1.0833)(1.077) = 1274

                         x = Rs 1000.97

Answer:

\(w(z(7))=189\)

Step-by-step explanation:

\(z(7)=7+5=12 \\ \\ w(z(7))=w(12)=12^2+4(12)-3=189\)

Answer:

Incorrect, 3.9/0.75 is 5.2

Step-by-step explanation:

Les' long division process is mostly correct, but she incorrectly moved the decimal point when doing the final step. She moved the decimal point twice instead of once.

Answer:

as i see

the answer is 32.....

Answer:

p=8, -22

Step-by-step explanation:

Move 6 to the other side

-|p+7|=-15

Now move the - symbol to the other side

|p+7|=15

Now

p+7=15

and

p+7=-15

Solve both the equation

p=8, -22

Hope this helps!

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

A = 18

Step-by-step explanation:

A = b*h/2

A = 9*4 /2

A = 36/2

A = 18

Answer:

60'' × 52'' or a 79.4'' TV

Step-by-step explanation:

Leaving a room of 2 inches on all sides means we subtract 4 inches from the height and length to find the maximum dimensions of the TV.

With this, we get 60'' × 52''. To find the diagonal length of the TV, use the Pythagorean Theorem which simply states the length of the diagonal is equal to the square root of the sum of the squared dimensions.

\(\sqrt{a^2+b^2} =c\)

\(\sqrt{60^2+52^2}=79.4\)

Therefore your TV can have a maximum size of 79.4 inches.

The table of values is:

Time(min)           |         Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                      3

8                                       32/3

1) The relationship between Distance and Time is proportional.

2) The unit rate is 4/3 miles

To complete the table, we need to find the missing values of time and distance.

We use the relation between Distance, speed and time ,to find the missing values, which is given by,

Distance = Speed x Time

Given when time = 1/2 minute, the distance = 2/3 miles

Speed = Distance/Time

           = 2/3 x 2/1

           = 4/3 mile per minute.

This is the constant speed of the cheetah. We use this constant speed to find the other values to complete the table.

So If we take 'y' as the distance and 'x' as the time, then the relationship between time and distance can be expressed as

  y = (4/3)x  [since Distance = Speed x Time ].

So this relationship is proportional because there is a constant of proportionality 4/3 in the linear equation above and hence can be graphed as well.

The graph will contain the time values on the x-axis and distance values on the y-axis.

So now we need to find the missing values on the table using the above linear equation.

When time, x = 1 minute, distance, y = (4/3) x 1 = 4/3 miles.

When distance, y = 3 miles, 3 = (4/3)x

⇒ time, x = 3 x (3/4) = 9/4 minutes.

When time, x = 8 minutes, distance, y = (4/3) x 8 = 32/3 miles.

So the table is:

Time(min)            |        Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                     3

8                                        32/3

The unit rate refers to the y-value when the x-value is unity(1). So the unit rate here is found when time = 1 minute.

From the table, distance when time = 1 minute is 4/3 miles.

Hence, unit rate = 4/3 miles.

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Answer:

26659

Step-by-step explanation:

subtracting the recent meter and the last time meter

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

5x - 1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

(3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

Answer: 5x - 1