Which expression is equivalent to 3k + 5l + 6l + 2k?

A) 8k + 8l

B) 5k + 11l

C) 5k

D) 16

Answer:

c=-35/4

Step-by-step explanation:

For this, we would use Vieta's theorem, which states the roots of the equation added together would equal -b/a, x₁ + x₂ = -b/a

Lets create a system with this:
x₁ - x₂ = 6 (This is given from the problem)

x₁ + x₂ = -b/a  or -1/1, plugging in the values from your equation

next, we would add these systems together

x₁ + x₂ + (x₁ - x₂) = 6 + (-1)
x₁ + x₁ = 5
2x₁ = 5

x₁ = 2.5

If we plug x₁ back in, we get:

2.5 - x₂ = 6

-x₂ = 3.5

x₂ = -3.5

Now that we have the roots, we can use Vieta's theorem again to say

x₁ * x₂ = c/a

Plugging this in, we get:

2.5 * -3.5 = c/a

Lets change things to fractions to make things easier

5/2 * -7/2 = c/a

Plugging in a, we get

-35/4 = c/1

-35 = 4c

c = -35/4

Hope this helps!

Answer:

1. 40 members

2. 4 cheerleaders

3. 40 marbles

4. 2 marbles

5. 8

6. 24

Step-by-step explanation:

1. cross multiply 12/x=30/100

2. cross multiply 12/x=10/100

3. 18/x=45/100

4. x/40=5/100

5. we know 5% is 2 marbles. multiply by 4 to get 8 marbles.

6. 20%=8 marbles. 60/20= 3. 3 x 8= 24 marbles.

Magnification of the image when 1.7 m tall

shoplifter stands infront of 2.4 m from a convex mirror is 0.0823.

The magnification of an image in a mirror is the ratio of the height of the image to the height of the object. Magnification is commonly used to describe how the image is visually enlarged or reduced (larger or smaller).

A magnification greater than 1 indicates that the image appears is larger  as compare to the object and less than 1 indicates that the image is smaller.

In this case, the height of the shoplifter is the height of the object and the height of the image in the mirror.

Object height =  1.7 m (Given)

Image height = 14 cm = 0.14 m (Given)

Magnification (M) = Object height/ Image height

Substituting the vales, we can get magnification of image

M = 0.14 m / 1.7 m

M = 0.0824

Therefore, the magnification of the image in the convex security mirror is approximately around 0.0824.

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The proper cash flow amount to use as the initial investment in fixed assets is calculated as: $19,740,000

The proper cash flow amount to use as the initial investment in fixed assets should include the cost of the land and the cost of grading, as well as the cost of building the manufacturing plant. Therefore, the initial investment is:

$5,700,000 (cost of the land) + $840,000 (cost of grading) + $13,200,000 (cost of building the plant) = $19,740,000

So the initial investment in fixed assets for evaluating this project is $19,740,000.

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From the graph of the system of equations y = 3x - 8 and 6x - 2y = 10, there is no solution

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

Given the system of equations:

y = 3x - 8        (1)

and:

6x - 2y = 10     (2)

From the graph of the equations, there is no solution

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Answer:

C

Step-by-step explanation:

Since we know that squares have all equal sides the area of a square is just a side². So, we would square root 256 in order to find one side. And we know that there are 4 sides of a square so 16+16+16+16= 64. so the answer is C

Given that the electron is in a pure spin state represented by the superposition ∣χ⟩ = a(∣sx+⟩ + ∣sy+⟩), where ∣sx+⟩ and ∣sy+⟩ are eigenstates of the Sx​ and Sy​ operators with eigenvalues +2ℏ​, respectively, we can calculate the expectation value for the x-component of spin, ⟨Sx​⟩.

Using the expression ⟨Sx​⟩ = ⟨χ∣Sx​∣χ⟩, we expand the equation as follows:

⟨Sx​⟩ = |a|²⟨sx+∣Sx​∣sx+⟩ + a∗a⟨sx+∣Sx​∣sy+⟩ + aa∗⟨sy+∣Sx​∣sx+⟩ + |a|²⟨sy+∣Sx​∣sy+⟩

Since ⟨sx+∣Sx​∣sx+⟩ = Sx​ and ⟨sy+∣Sx​∣sy+⟩ = Sx​, the equation simplifies to:

⟨Sx​⟩ = 2|a|²Sx​ + a∗a⟨sx+∣Sx​∣sy+⟩ + aa∗⟨sy+∣Sx​∣sx+⟩ + |a|²Sx​

Now, we observe that ⟨sx+∣Sy​∣sy+⟩ = 0 because the eigenstates ∣sx+⟩ and ∣sy+⟩ have different eigenvalues for the Sy​ operator. Therefore, the middle two terms cancel each other out, leaving:

⟨Sx​⟩ = 2|a|²Sx​

Since the expectation value ⟨Sx​⟩ is given as iπℏ/2, we equate it to the above expression:

iπℏ/2 = 2|a|²Sx​

Simplifying, we find:

|a|² = iπℏ/4Sx​

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Answer:

The error in his prediction is that he had too small of a sample size for the data to be reliable in how the trend would continue.

Answer:

He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

Answer:

=9(y-3)

take 9 as a common factor then divide it by everyone 8nside

Answer:

Step-by-step explanation:

c

Answer:

na saan Po yong question

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  \(\frac{3}{15}\) (or  \(\frac{1}{5}\), simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  \(\frac{1}{5}\) = \(\frac{x}{20}\)

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

The total amount spent was $11.40.

To find out how much was spent, we need to add up the cost of the first cup, the cost of the refills, and the cost of the bagel, and then subtract the discount. Here's how to do it step-by-step:

1. Start with the cost of the first cup: $4.25
2. Add the cost of the refills: $2.25 + $2.25 = $4.50
3. Add the cost of the bagel: $3.15
4. Add up the total cost so far: $4.25 + $4.50 + $3.15 = $11.90
5. Subtract the discount: $11.90 - $0.50 = $11.40

So the total amount spent was $11.40.

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Answer:

Lol mcm soalan kamu salah. Pilih A je

Step-by-step explanation:

Masukkan nilai tersebut dalam persamaan v = u + at,

42 = -8 + (-5)t

50 = -5t

t = -10

Answer:3is the answer

Step-by-step explanation:

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

12

Step-by-step explanation:

Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

The Total time for the manufacturing process is T = 26x, where T is the total time and x is the number of units produced.

In manufacturing a product, a four-step process is used. The first resource takes 8 minutes per unit, the second takes 7 minutes per unit, the third takes 6 minutes per unit, and the fourth takes 5 minutes per unit. To calculate the total time for the product manufacturing process, the following steps must be taken.

Step 1: Determine the longest time taken by a single resource. This is 8 minutes since the first resource takes the longest time.

Step 2: Multiply the time taken by the first resource by the number of units to be manufactured to get the total time for the first step. Assume the total units produced is x, therefore the time for the first step is 8x.

Step 3: Add the time taken by the second resource to the time taken by the first resource. This gives the total time taken for the first and second steps.

Therefore, the time taken by the first and second resources is 8x + 7x = 15x.Step 4: Add the time taken by the third resource to the time taken by the first and second resources.

This gives the total time taken for the first three steps. Therefore, the time taken by the first three resources is 8x + 7x + 6x = 21x.Step 5: Add the time taken by the fourth resource to the time taken by the first three resources. This gives the total time taken for all four steps.

Therefore, the total time taken is 8x + 7x + 6x + 5x = 26x.

Hence, the formula for calculating the total time for the manufacturing process is T = 26x, where T is the total time and x is the number of units produced.

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Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

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B = (-2, 2)

May Nilbin Be With You

Answer:

B' = (-6, 6)

Step-by-step explanation:

Dilation = Multiplying the coordinates of points by the scale factor.

B = (-2, 2)

B' = (-6, 6)

^ Multiply each coord by the scale factor (3)

Answer:

Step-by-step explanatiNlo peral son  en

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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Answer:

A and D

Step-by-step explanation:

B and C are not functions because some inputs have multiple outputs

Answer:I would say 3 but I am not 100% sure

Step-by-step explanation:

After then, there must be some closed interval A between 0 and 1 such that x is less than A. As a result, x must fall between 0 and 1, as was intended.

This is further explained below.

Generally, Let A represents the set of all of the closed intervals that are included in (0, 1). Our contention is that A = (0, 1). To demonstrate this, let's begin by demonstrating that the left-hand side contains the right-hand side in its entirety.

Let x ∈ (0, 1). Our goal is to demonstrate that there is at least one A A such that x A. We may define A to be the closed interval [x, x] that contains the single point x. Alternatively, if you don't wish to state that a point is an interval, we can take A to be something like [x/2, x] or [x/2, (x + 1)/2] as an alternative.

In conclusion, because x > A > A, we may deduce that x > A A A. Now we will perform the confinement in the other direction. Let's say that x > AA A.

If this is the case, there must be some closed interval A between 0 and 1 such that x falls inside A. Therefore, x should be between 0 and 1, as required.

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No. The statement given by Yuki that 43 is a 2 digit odd number that is composite is not correct.

A composite number is a positive integer greater than 1 that has more than two positive divisors. In other words, a composite number is a number that can be divided by more than just 1 and itself. For example, 4 is a composite number because it can be divided by 1, 2, and 4.

On the other hand, a prime number is a positive integer greater than 1 that has exactly two positive divisors, 1 and itself. For example, 5 is a prime number because it can be divided only by 1 and 5.

Now, let's consider the number 43. 43 is a two-digit odd number, which means it has two digits and is not divisible by 2. However, 43 is a prime number, which means it has exactly two positive divisors, 1 and 43. Therefore, 43 is not a composite number.

To further verify this, we can check the divisors of 43. The divisors of 43 are 1 and 43, because 43 is not divisible by any other positive integer. Therefore, we can conclude that 43 is a prime number and not a composite number.

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The probability of picking three black cards in a row, without replacement, from a standard deck of 52 playing cards is 2/17, or approximately 0.1176 (rounded to four decimal places).

The probability of picking a black card on the first draw = 26/52 = 1/2

        (since there are 26 black cards in the deck)

The probability of picking a black card on the second draw, given that a one was picked on the first draw and the card is not replaced = 25/51,    

        (since there are now only 25 black cards left out)

The probability of picking a black card on the third draw, given that the ones picked on the first two draws are not replaced = 24/50 = 12/25,

        (since there are now only 24 black cards left out)

To pick three black cards in a row, we need to multiply the probabilities of each individual draw = (1/2) * (25/51) * (12/25) = 6/51

Simplifying this fraction, we get = 6/51 = 2/17

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