Kenya is solving the equation 5 3/4 - 1/6x = 4 1/2. She gets to 1 1/4 = 1/6x. Is this a valid way to solve the equation? answer asap please

The solution for the given quadratic equation is √27.

What is a quadratic equation?

A quadratic equation is any algebraic equation that can be written in the standard form as where variable 'x' is an unknown number and where a, b, and c are known values, with a ≠ 0.

We are given a quadratic equation in variable 'w' as 3\(w^{2}\) + 9 = 90.

Now, on solving the given equation , we get

⇒ 3\(w^{2}\) + 9 = 90

⇒ 3\(w^{2}\) = 81

⇒ \(w^{2}\) = 27

⇒ w = √27

Hence, the solution for the given quadratic equation is √27.

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The complete question has been attached below.

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer:

1.)a.)x is divided by two and is one is added to get y

b.)y=x/2 + 1

Complete question :

Trevor plans on buying a car. Four banks offer the annual interest rates shown.

Which list shows these interest rates in order from greatest to least

3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%

Answer:

3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%

Step-by-step explanation:

Arrange the given interest rates in order ; greatest to least :

To make comparison easier, we can convert the fractional values to decimal ;

3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%

3 1/10% = 3 + (1/10 = 0.1) = 3 + 0.1 = 3.1%

3 2/5%, = 3 + (2/5 = 0.4) = 3 + 0.4 = 3.4%

3 1/4%, = 3 + (1/4 = 0.25) = 3 + 0.25 = 3.25%

3 1/3% = 3 + (1/3 = 0.333) = 3 + 0.333 = 3.33%

Hence, arranging in descending order (greatest to least) :

3 2/5% > 3 1/3% > 3 1/4% > 3 1/10%

3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%

The solution of the given initial value problem, x'' + 33.64x = 4cos(6t), with x(0) = x'(0) = 0, can be expressed as a sum of the homogeneous solution and the particular solution.

To find the solution, we start by solving the homogeneous equation, x'' + 33.64x = 0. The characteristic equation associated with this homogeneous equation is \(r^2 + 33.64 = 0\), which yields the roots

r = ±i√33.64. Thus, the homogeneous solution can be expressed as

x_h(t) = A*cos(√33.64*t) + B*sin(√33.64*t),

where A and B are constants determined by the initial conditions.

Next, we need to find the particular solution for the forced oscillation. Since the right-hand side of the equation is of the form Acos(ωt), where ω = 6, we assume a particular solution of the form x_p(t) = C*cos(ω*t + φ), where C and φ are constants to be determined. Taking the derivatives, we have x_p''(t) = -ω^2*C*cos(ω*t + φ) and x_p'(t) = -ω*C*sin(ω*t + φ). Substituting these into the original equation, we obtain -ω^2*C*cos(ω*t + φ) + 33.64*C*cos(ω*t + φ) = 4*cos(ω*t).

To satisfy this equation, the coefficient of the cosine term must be 4, while the coefficient of the sine term must be zero. This gives us two equations: -ω^2*C + 33.64*C = 4 and -ω*C = 0. Solving these equations, we find C = 4/(33.64 - ω^2) and φ = 0. Therefore, the particular solution is x_p(t) = (4/(33.64 - ω^2))*cos(ω*t).

Finally, we combine the homogeneous solution and the particular solution to obtain the complete solution:

x(t) = x_h(t) + x_p(t) = A*cos(√33.64*t) + B*sin(√33.64*t) + (4/(33.64 - ω^2))*cos(ω*t).

By substituting the initial conditions x(0) = x'(0) = 0 into this equation, we can determine the values of A and B. With the obtained values, the final solution for the initial value problem can be expressed in terms of the given constants and the trigonometric functions involved.

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If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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Answer:

y= -2x + 5

Step-by-step explanation:

Parallel equations share the same slope so, you need to take the x coordinate and multiply it by the slope which is -2, and you should get 0. To get from 0 to 5 we need to add 5, so 5 is your y-intercept.

Answer: K

Step-by-step explanation:

Ill do it

a. The feasible strategies for player 1 will be options A and B.

b. The Nash equilibria are W for player 2, X if player 1 plays 2 and Z if player 1 plays B.

c. The perfect subgame will be the combination B, Z(100,150)

Step 1: Finding the list of feasible strategies for player 1 and player 2

a.

According to the extensive-form game, the feasible strategies for player 1 will be options A and B, since in both movements he will be able to obtain a payoff.

Again, the feasible strategies for player 2 will be W and X if player 1 plays 2 and Z if player 1 plays B.

Step 2: Finding the Nash equilibrium\

b.

In an extensive game we can analyze the possible strategies from the last result backwards. Here, we observe which sequence is the most optimal, that is, the backward induction strategy. We also see what happened in the last decision and based on that the penultimate decision is made until the start of the game.

Here, the strategy the player 2 chooses is Z because player 1 chose B. This will be the most optimal strategy and Nash equilibrium since they are the maximum amount that both players can get (100, 150 will be reached).

Similarly, a second Nash equilibrium can be reached in which player 2 chooses W if player 1 chooses A generating an equilibrium of (60,120).

Step 3:To find the subgame perfect equilibrium

The perfect balance of a subgame can usually be determined through backward induction of the final results of each game.

The perfect subgame will then be the combination B, Z(100,150) since Player 2 does not have a credible threat to play Y since he would get 0 and it is not Nash equilibrium. Likewise, it would not be in the interest of Player 1 to choose A and obtain a lower profit when player 2 chooses W.

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Answer:

1.4285714285714%

Step-by-step explanation:

Dividí el numero + entre -

Answer:

the answer is 42.9

Step-by-step explanation:

Answer:

-2x + 8

Step-by-step explanation:

(2x - 6) is subtracted from (7 - 5).

First term that into an equation.

Because our first term is being subtracted from our second one, our equation is written as:

(7 - 5) - (2x - 6).

Simplify the first term by subtracting:

7 - 5 = 2

Now simplify the second term by multiplying 2x - 6 by -1 to get them out of the parenthesis. We do this because there is a negative sign in front of it.

-1 (2x - 6)

-2x + 6

Now our equation is:

2 - 2x + 6

Combine like terms:

2 + 6 = 8

So -2x + 8

(2x - 6) subtracted from (7 - 5) is -2x+8

Answer:

also known as the population parameter of interest the parameter of interest is a practical value that gives you more information about the research sample or population being studied in other words these parameter define the describe the search population

what is parameter answer is given above

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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Random Sampling will be able to calculate the average value of a population without statistical error.

Each sample has an equal chance of being chosen when using the sampling technique known as random sampling.

When there is little chance of data manipulation, systematic sampling is employed.

A census is a study of every element, person, or aspect of the population.

When a population is divided into clusters, a sample is chosen at random from within each cluster. This process is known as cluster sampling.

Hence, we use Random sampling for not getting statistical errors.

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Answer:

60.444

Step-by-step explanation:

Answer:

F (-1,5)

Step-by-step explanation:

Since the problem gives you the graph, all you have to do is see which point falls in the shaded part. F is the answer since J is on the line. If the equality was less than or equal, then it would be F and J.

Answer:

1,5

Step-by-step explanation: there may be a negitive number

The zeros of the function y = (x − 4)(x² − 12x + 36) are 4 and 6.

To find the zeros of the function y = (x - 4)(x² - 12x + 36), we need to set y to zero and solve for x.

0 = (x - 4)(x² - 12x + 36)

Now, solve for each factor separately:

1) x - 4 = 0
x = 4

2) x² - 12x + 36 = 0
This is a quadratic equation, and we can factor it as (x - 6)(x - 6).
So, x - 6 = 0
x = 6

The zeros of the function are x = 4 and x = 6. The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0.

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Answer:

Step-by-step explanation:

here you go mate'

step 1

(60 + 10)130  equation

step 2

(60 + 10)130  simplify with the brackets

step 3

130(70)  multiply the numbers

answer

9100

The total remaining bank balance in the account of Omar after reducing all the debit and adding paycheck is $761.25

The money which is paid from an account is called the debit amount and the money which is paid into an account is called the credit amount.

To know the remaining balance of account, all the debit amount is subtracted from it and all the credit amount is added into it.

The table for the Omar's transaction is attached below. The data given in the table is,

The initial balance is $219.80, and a pay check of $1015.50 is credited in his account. Thus, the total balance in his account without any debit is,

\(A_i=1015.50+219.80\\A_i=1253.30\)

The total amount debited from the account of Omar is,

\(A_d=15.20+425.00+22.30+26.70\\A_d=474.05\)

Thus, the total remaining amount in his account is,

\(A=1253.3-474.05\\A=761.25\)

Hence, the total remaining bank balance in the account of Omar after reducing all the debit and adding paycheck is $761.25

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Answer:

$761.25

Step-by-step explanation:

took the quiz on edge

According to the model, 18% of gross domestic product will go toward health care in the year 2026.

To find the year when 18% of gross domestic product (GDP) will go toward health care according to the given model, we need to solve the equation:

f(x) = 18

where f(x) represents the percentage of GDP going toward health care x years after 2006.

Given the model f(x) = 1.4 ln(x) + 13.8, we can substitute 18 for f(x):

1.4 ln(x) + 13.8 = 18

Subtracting 13.8 from both sides:

1.4 ln(x) = 4.2

Dividing both sides by 1.4:

ln(x) = 3

To solve for x, we can exponentiate both sides using the base e (natural logarithm):

e^(ln(x)) = e^3

x = e^3

Using a calculator, the approximate value of e^3 is 20.0855.

Therefore, according to the model, 18% of GDP will go toward health care in the year 2006 + x = 2006 + 20.0855 ≈ 2026 (rounded to the nearest year).

According to the model, 18% of gross domestic product will go toward health care in the year 2026.

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Complete question is below

The percentage of gross domestic product (GDP) in a state going toward health care from 2007 through 2010, with projections for 2014 and 2019 is modeled by the function f(x) = 1.4 In x + 13.8, where f(x) is the percentage of gross domestic product going toward health care x years after 2006. According to the model, when will 18% of gross domestic product go toward health care?

According to the model, 18% of gross domestic product will go toward health care in the year (Round to the nearest year as needed.)

Answer:

B) 1/13

Step-by-step explanation:

This is because as we all know there are four different category of cards - spades, clover, heart and diamond.

In each of these category we have 1 Queen so in total we have 4 Queens

Probability of choosing Queen = 4/52

= 1/13

(This is your answer hope it helps :))

The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.

Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.

This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.

The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).

Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.

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Answer: 16 points for the first half game

Step-by-step explanation:

1st half = ?

2nd half= p

Total = 18

The expressions to get the score of the 1st game is 18 -p

If she scored 2points in the second half game that means p=2

To get the 1st half of the game you should do 18-2=16

Answer:

C.

Step-by-step explanation:

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