what is 2 / 12 * 20 ​

Answer:

\(a {x}^{2} - a\)

then you multiple the a's

\( {x}^{2} - {a}^{2} \)

use square root factor

\( \sqrt{ {x}^{2} } + - { \sqrt{a} }^{2} \)

which makes

\((x - a)(x + a)\)

then you divide the a by a to get

\((x + 1)(x - 1)\)

so yes x + 1 is a factor

The least number of games the team must win to raise its winning record above 75 percent is -4 , by raising the win fraction to the total number of fractions as 36/48.

There are ratios of fractions that represent a portion of the whole. A fraction has the form a/b, which may be read as "a by b," and it has the function a divided by b. The denominator is referred to as b, and the numerator is known as a.

To transform a percentage to a fraction, we divide it by 100.

Given that a baseball team has won 18 of the 30 games it contains played during the season.

We exists asked the least number of games the team must win to raise its win record above 75%.

Let the number of games needed to be x.

The new number of wins will be the sum of current wins and the games to win, that exists, the new number of wins = 16 + x.

The new number of games played will be the sum of current games played and the games to win, that exists, the new number of games played = 20 + x.

Therefore, the win fraction of the team can be shown as the ratio of the total wins to the total number of games played, that exists, the win record = (16 + x)/(20 + x).

We exists asked to make sure that the win record should be at least 75%,

This percentage can be described as the fraction 75/100 = 3/4.

Therefore, we get the equation:

(16 + x)/(20 + x) = 3/4,

simplifying the above equation, we get

4x - 3x = 3x - 4x - 4,

x = -4.

Therefore, by increasing the victory fraction to the entire number of fractions as 36/48, the team just needs to win -4 games to improve its winning percentage above 75%.

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The equation of the line that is tangent to the curve `y = 3x - 3x²` at the point `(1,0)` is `y = -3x + 3`.

The given function is `y = 3x - 3x²`.

Now, let's find the derivative of the function to get the slope of the tangent line that touches the point `(1,0)`.dy/dx = 3 - 6x

Equation of the tangent line is y - y1 = m(x - x1), where m is the slope of the tangent and (x1, y1) is the point of contact.

Now, we can find the slope by substituting `x = 1`dy/dx = 3 - 6(1) = -3

Therefore, the slope of the tangent at point `(1, 0)` is `-3`.

Now, let's plug in the values to get the equation of the tangent: y - 0 = -3(x - 1) => y = -3x + 3

Therefore, the equation of the line that is tangent to the curve `y = 3x - 3x²` at the point `(1,0)` is `y = -3x + 3`.

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Answer:

Therefore, your bill would have been approximately $421.75.

Step-by-step explanation:

Bill = 4267 kWh x $0.09884/kWh

= $421.75 (rounded to the nearest cent)

Eigenvector V₂ = [1, -4 - i, 1].

[-12, 0, 16]

[-8, 0, 12]

[0, 0, 0] * V = 0

To solve the system of differential equations:

-12x₁' + 0x₂' + 16x₃' = 8x₁ - 3x₂ + 15x₃

-8x₁' + 0x₂' + 12x₃' = -3x₁ + 0x₂ + 0x₃

x₁' = -t - 1, x₂' = -3t - e^t, x₃' = 1

We can rewrite the system in matrix form as:

X' = AX + B

where X = [x₁, x₂, x₃], A is the coefficient matrix, and B is the vector on the right-hand side.

The coefficient matrix A and the vector B are:

A = [[-12, 0, 16], [-8, 0, 12], [0, 0, 0]]

B = [8, 0, 0]

To solve this system, we first need to find the eigenvalues and eigenvectors of matrix A. The eigenvalues are the solutions to the characteristic equation |A - λI| = 0, where I is the identity matrix.

The characteristic equation is:

|-12 - λ, 0, 16|

|-8, - λ, 12|

|0, 0, - λ|

Expanding the determinant and solving for λ, we get:

(-12 - λ)(-λ)(-λ) + (0)(-8)(16) + (16)(-8)(-λ) = 0

Simplifying:

λ³ + 12λ² + 128λ = 0

Factoring out λ:

λ(λ² + 12λ + 128) = 0

Using the quadratic formula to solve the quadratic equation λ² + 12λ + 128 = 0, we find that the roots are complex:

λ = -6 ± √(-4) / 2

λ = -6 ± 8i / 2

λ = -3 ± 4i

Therefore, the eigenvalues are -3 + 4i, -3 - 4i, and 0.

To find the corresponding eigenvectors, we substitute each eigenvalue into the equation (A - λI)V = 0, where V is the eigenvector.

For λ = -3 + 4i:

(A - (-3 + 4i)I)V = 0

Substituting the values, we get:

[9 + 4i, 0, 16]

[-8, 3 + 4i, 12]

[0, 0, 3 + 4i] * V = 0

Solving this system of equations, we find one eigenvector V₁ = [1, -4 + i, 1].

For λ = -3 - 4i:

(A - (-3 - 4i)I)V = 0

Substituting the values, we get:

[9 - 4i, 0, 16]

[-8, 3 - 4i, 12]

[0, 0, 3 - 4i] * V = 0

Solving this system of equations, we find another eigenvector V₂ = [1, -4 - i, 1].

For λ = 0:

(A - 0I)V = 0

Substituting the values, we get:

[-12, 0, 16]

[-8, 0, 12]

[0, 0, 0] * V = 0

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Answer:

It was a 12.5% water gain

A study has a 2 Ã 2 Ã 3 within-groups factorial design. This example has a total of _12_ cell(s). Researchers would need to investigate _three__ main effect(s), _Three two-way interactions __ two-way interaction(s), and _ One three-way interaction__ three-way interaction(s) in this study.

a 2 x 2 x 3 within-groups factorial design, you have:
A total of 2 x 2 x 3 = 12 cells
Three main effects to investigate (one for each factor)
Three two-way interactions to investigate (AxB, AxC, and BxC)
4. One three-way interaction to investigate (AxBxC)
So, in this study, there are 12 cells, researchers would need to investigate 3 main effects, 3 two-way interactions, and 1 three-way interaction.

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The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Answer: 800

Step-by-step explanation: please. Mark as brainliest

Answer:

8000 mg

Step-by-step explanation:

8 grams are equal to 8000 milligrams

The bank should sample 429 customers.

To determine the number of customers that should be sampled, we need to use the formula for sample size calculation in estimating a population mean. The formula is given by:

n = (Z * σ / E)^2

Where:

n = sample size

Z =  corresponding to the desired level of confidence (98% confidence corresponds to a z-score of approximately 2.33)

σ = population standard deviation

E = desired margin of error

Plugging in the given values, we have:

n = (2.33 * 300 / 89)^2

n ≈ 429

Therefore, the bank should sample approximately 429 customers.

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Answer:

This is about your opinion, not mine, but here's my opinion.

Don't copy and paste because anything can be found with good filters.

Essentially, just paraphrase or something.

Step-by-step explanation:

I prefer standard notation when calculating with small digits under 6 zeros because it is more visually simpler to view. When a number is involved with more digits, I prefer scientific notation because it is unlikely that I will lose track of how many digits there are.

If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The polar coordimnate is given below.

P(9, π/5)

Then the cartesian coordinate will be

We know that the conversion of the polar coordinate to the cartesian coordinate.

(x, y) = (r cos θ, r sin θ)

Then we have

r = 9

θ = π/5

Then we have

x = 9 cos π/5

x = 7.28

y = 9 sin π/5

y = 5.29

Then the coordinate will be (7.28, 5.29).

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Answer:

11x+11

Step-by-step explanation:

4x+8+7x-3=11x+11

Hope this helps :D

Answer:

11x + 11

Step-by-step explanation:

( 4x + 8 ) + ( 7x + 3 )

Remove parenthesis;

Note: Remember, the associate property states that if an equation is either all multiplication or addition, then it can be done in any order, hence the parenthesis holds no weight in this case.

4x + 8 + 7x + 3

Combine like terms;

11x + 11

Answer:

x = 7.5

Step-by-step explanation:

imagine the 5 and x highlighted green

and the 6 and 9 highlighted blue

green goes on top blue goes on bottom

\(\frac{5}{6}\) = \(\frac{x}{9}\)            now cross multiply

45 = 6x

x = 7.5

you can check your answer by putting 7.5/5 and 9/6 and you get the answer 1.5 for both

hope this helps

The value x of given linear equation in one variable is \(13\)

To solve for x in the equation \(4x-1 +3x -1 +7x = 180\), we first need to combine the like terms on the left side:

\(4x-1 +3x -1 +7x = 180\)

Next, we can isolate the variable term by adding \(2\) to both sides:

\(14x -2 +2 = 180+2\\14x = 182\)

Finally, we can solve for x by dividing both sides by \(14\):

\(x = \frac{182}{14}\)

This can be simplified by dividing both the numerator and denominator by their greatest common factor, which is \(14\):

\(x = 13\)

Therefore, the value of \(x\) that satisfies the equation \(4x-1 +3x -1 +7x = 180\) is \(x = 13\)

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Applying the centroid theorem, the length of QK in the triangle is: 10.

The centroid of a triangle is the point of intersection of the three medians of the triangle. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposing side. T

The Centroid Theorem states that the centroid of a triangle is located two-thirds of the distance from each vertex to the midpoint of the opposite side.

In other words, if G is the centroid of triangle ABC, then AG = (2/3)AD, BG = (2/3)BE, and CG = (2/3)CF, where D, E, and F are the midpoints of sides BC, AC, and AB, respectively.

Therefore, given that:

Q is the centroid of ΔJKL

PQ = 5

Thus, PQ = 1/3(PK) [according to the centroid theorem]

Substitute:

5 = 1/3(PK)

15 = PK

PK = 15

QK = PK - PQ

QK = 15 - 5

QK = 10 units

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Answer: It is 0.73 my friend. Very good work.

Step-by-step explanation:

The number of vehicles Luann had in mind is 135.

The calculation of the number of vehicles Luann had in mind is based on the ratio of the number of predicted SUVs to the number of predicted vehicles, and the actual number of SUVs seen by Luann.

First, we know that for every 45 vehicles that pass by, 14 are expected to be SUVs. This means that 14/45 of the vehicles are expected to be SUVs.

Next, we know that Luann saw 42 SUVs pass by. To find the actual number of vehicles that have passed by, we set up a proportion:

We can then solve for the actual number of vehicles by cross-multiplying and dividing:

So the number of vehicles Luann had in mind is 135.

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Complete Question:

Luann predicted that if a certain number of vehicles passed by her by, 42 of them would be SUVs. What was the certain number of vehicles she had in mind?

Types of Vehicles  |   Number of vehicles

    Car                   |   6

  Truck                 |   10

    SUv                 |     14

 Minivan             |     15

Answer:

Assuming you are asking how to do it you would first move the point on the graph to the left 3 units going towards the negative qudrant. Afterwards, you would move the point you just moved upwards 2 in this case.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

In this situation, the slope is 1.

This is because the ski rental service charges $1 per hour.

The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.

So, the value of the slope is 1.

Answer:

X=23

Step-by-step explanation:

12²+5²=(X-10)²

144+25=(X-10)²

169=(X-10)²

√169=√(X-10)²

13=X-10

X=23

Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

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

Work Shown:

The given angles are a linear pair, so they are supplementary.

(1+5x)+(3+3x) = 180

1+5x+3+3x = 180

(5x+3x)+(1+3) = 180

8x+4 = 180

8x+4-4 = 180-4 .... subtract 4 from both sides

8x = 176

8x/8 = 176/8 ..... divide both sides by 8

x = 22

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

Extra info:

1+5x = 1+5*22 = 1+110 = 111

3+3x = 3+3*22 = 3+66 = 69

111+69 = 180, which helps confirm the answer.

Step-by-step explanation:

Hope it helps man ......

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

It has 2 solutions

Step-by-step explanation:

Answer:

The slope of AB = slope of CD and slope of BC = slope of DA

Hope this helps!

Step-by-step explanation: