help me, cause I'm stuck

Answer: Substitute the second equation into the first equation to eliminate y and solve for x:

2x + 3y = 6

2x + 3(-2/3x) = 6 // Substitute y=-2/3x

2x - 2x = 6

0 = 6

This equation is not true, which means that there is no solution to the system. Geometrically, this means that the two lines represented by the equations are parallel and do not intersect, so there is no point that satisfies both equations simultaneously.

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are 12 posible months in a year and 2 months ( July and October )when the sale might happen.

P= 2/12 = 1/6

Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Answer:

5]136

Step-by-step explanation:

trust.

Dan suzy and aaron share 16 slices of pizza in ratio 1:2:5 aaron get 10 clicks of pizza out of the total.

To break it down further, we can first find the portion size (x) by dividing the total number of slices (16) by the sum of the ratios (1 + 2 + 5 = 8).

So, x = 16 / 8 = 2.

This means that each portion represents 2 slices of pizza.

Next, we can use the ratio to find how many portions each person received. We know that Dan received 1 portion, Suzy received 2 portions, and Aaron received 5 portions. So, to find the number of slices each person received, we just need to multiply their portion size (2 slices) by the number of portions they received.

For Dan, it's 1 portion * 2 slices/portion = 2 slices.

For Suzy, it's 2 portions * 2 slices/portion = 4 slices.

And for Aaron, it's 5 portions * 2 slices/portion = 10 slices.

So, in total, Aaron received 10 slices of pizza.

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Answer:

$39

Step-by-step explanation:

Substitute 4 into the x variable in the equation. From there, multiply.

9.75 x 4 = y

y = 39

Answer:

0.07=7% interest

Step-by-step explanation:

Bail-in and bail-out are terms used in resolving bank failures. Bail-in involves the bank's stakeholders bearing the losses, while bail-out involves external financial support. Pros of bail-in include protecting taxpayers and promoting market discipline, while cons include potential contagion effects, complexity, and investor uncertainty. Bank regulators seek to improve bail-in frameworks to enhance financial stability and protect taxpayers.

Bail-in refers to a process in which a failing bank's creditors and shareholders are required to bear the losses incurred by the bank. In a bail-in, the bank's liabilities are written down or converted into equity, effectively recapitalizing the bank and restoring its solvency. This approach aims to ensure that the costs of the bank's failure are borne by the bank's stakeholders rather than taxpayers or the government.

On the other hand, a bail-out involves providing financial support to a failing bank by external sources, typically the government or a central bank. The bail-out involves injecting funds into the bank to prevent its collapse and maintain its operations. This approach aims to protect depositors and maintain stability in the financial system but can often place a burden on taxpayers.

Now let's discuss the pros and cons of using bail-in to resolve a bank failure.

Pros of using bail-in:

1. Protection of taxpayers: Bail-in reduces the burden on taxpayers by making the bank's stakeholders, such as bondholders and shareholders, responsible for covering the losses. This helps prevent moral hazard and ensures that the costs of the bank's failure are borne by those who have a stake in the bank.

2. Market discipline: Bail-in promotes market discipline by holding creditors and shareholders accountable for their investment decisions. This encourages better risk assessment and monitoring of banks by investors, as they become more cautious about investing in banks with higher risk profiles.

Cons of using bail-in:

1. Potential contagion effects: The implementation of bail-in measures can potentially lead to contagion effects in the financial system. If investors lose confidence in one bank, it may spread to other banks and institutions, causing a broader financial crisis.

2. Lack of clarity and complexity: Determining the appropriate allocation of losses and implementing a bail-in can be complex and challenging. There may be difficulties in accurately valuing assets, determining the order of creditor hierarchy, and navigating the legal and operational complexities involved.

3. Investor uncertainty: The possibility of bail-in may increase uncertainty among investors, leading to higher borrowing costs for banks and reduced market confidence. This can negatively impact the stability of the financial system.

In recent years, bank regulators have been seeking to improve their bail-in frameworks to enhance financial stability and protect taxpayers. They aim to establish clear rules and procedures for implementing bail-ins, ensure sufficient loss-absorbing capacity within banks, and enhance transparency and investor confidence.

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When f(x) = 20

Then

5x + 10 = 20

Therefore

5x=20-10=10

x = 10 / 5 = 2

x= 2

To find the area of the region that lies inside both curves r^2 = sin^2(2θ) and r^2 = cos^2(2θ), we can use the concept of polar coordinates.

First, let's set the equations equal to each other:

sin^2(2θ) = cos^2(2θ)

Using the trigonometric identity sin^2(x) + cos^2(x) = 1, we can rewrite the equation as:

1 - cos^2(2θ) = cos^2(2θ)

2cos^2(2θ) = 1

cos^2(2θ) = 1/2

Taking the square root of both sides:

cos(2θ) = ±√(1/2)

Now, we can solve for θ:

2θ = ±π/4 + kπ, where k is an integer

θ = ±π/8 + kπ/2, where k is an integer

Since the given curves are symmetric about the polar axis, we can consider the positive values of θ in the range [0, π/8].

To find the area of the region, we integrate the equation r^2 = sin^2(2θ) or r^2 = cos^2(2θ) over the range of θ and multiply by 1/2.

Let's consider the equation r^2 = sin^2(2θ) for this calculation.

Area = (1/2) ∫[0, π/8] sin^2(2θ) dθ

Using the identity sin^2(x) = (1/2)(1 - cos(2x)), we can rewrite the equation as:

Area = (1/4) ∫[0, π/8] (1 - cos(4θ)) dθ

Integrating the equation:

Area = (1/4) [θ - (1/4)sin(4θ)] evaluated from θ = 0 to θ = π/8

Plugging in the values:

Area = (1/4) [(π/8) - (1/4)sin(π/2)]

Area = (1/4) [(π/8) - (1/4)(1)]

Area = (1/4) [(π/8) - (1/4)]

Area = (1/4) [π/8 - 1/4]

Area = π/32 - 1/16

Therefore, the area of the region that lies inside both curves r^2 = sin^2(2θ) and r^2 = cos^2(2θ) is approximately π/32 - 1/16.

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Answer:

the answer is c

Step-by-step explanation:

yes sir

Answer:

448

Step-by-step explanation:

This is  a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.

height ratio  shadow ratio

40 cm / x = 25 / 280             Cross multiply

25x = 40 * 280                      Combine

25x = 11200                            Divide by 25

x = 11200/25

x = 448 cm

The height of the corn plant is 448 cm

The evaluation of the rational algebraic expression  are presented as follows;

1.  \(\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}\)

2. \(\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2 + 2\cdot x \cdot y + y^2}{x \cdot y}\)

3. \(\dfrac{3 \cdot x + 1}{x^2+2\cdot x +1} +\dfrac{5}{2\cdot x + 8} =\dfrac{11\cdot x^2 +36\cdot x +13}{2\cdot x^3 + 12\cdot x^2 + 18\cdot x+ 8}\)

A rational algebraic expression is an algebraic expression that consists of a quotient and divisor that consists of variables and numbers.

1. \(\dfrac{1}{3} + \dfrac{2}{5}\)

\(\dfrac{1}{3} + \dfrac{2}{5} = \dfrac{5\times 1 + 2 \times 3}{3\times 5} =\dfrac{5 + 6}{15}\)

\(\dfrac{5 + 6}{15} = \dfrac{11}{15}\)

Therefore, we get;

\(\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}\)

2. \(\dfrac{x + y}{x} + \dfrac{x + y}{y}\)

\(\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}\)

\(\dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}= \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}\)

Therefore;

\(\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}\)

3. \(\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}\)

\(\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8} = \dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)}\)

\(\dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)} = \dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}\)

\(\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}=\dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}\)

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Answer:

A

Step-by-step explanation:

got it correct in edu

Answer:

23.6588236

Step-by-step explanation:

also 24

The state and local tax that will be paid by Mei will be $17 and $12.50 respectively.

From the information, Mei has a weekly taxable income of $265.85. her state tax rate is 6.4% and her local county tax rate is 4.7%.

The state tax that will be paid will be:

= Rate × Income

= 6.4% × $265.85

= 0.064 × $265.85.

= $17

The local tax that will be paid will be:

= Rate × Income

= 4.7% × $265.85

= 0.047 × $265.85.

= $12.50

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Answer:

7

Step-by-step explanation:

13.23 = 10

2.570= 3

10-3=7

Answer:

13.2-2.6=10.6

Step-by-step explanation:

The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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Answer:

x^2−7x+12      so -7x

Step-by-step explanation:

The following scenario is a good example of a matched-pairs experiment.

So, the given situation of a pesticide manufacturer is a perfect example of a matched-pairs experiment.

Therefore, the following scenario is best described as an example of a matched-pairs experiment.

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The correct question is given below:
A pesticide manufacturer is developing a new type of organic pesticide for a particular plant. To study the effectiveness of the new pesticide, a large sample of young plants is collected. The sample is then separated into many groups of two plants based upon age, size and soil type so that plants with similar characteristics are grouped together. One of the two plants in each group is randomly chosen and administered the pesticide, while both plants are placed in a controlled environment and are exposed to the possibility of attack from the target pests. The plants are inspected regularly over a 3 month period and the results are recorded for comparison.

This scenario is best described as an example of...

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Answer:

x is greater than or equal to -4

Step-by-step explanation:

I am not sure if I have to graph as well so I will just solve the inequality.

3x-12 greater than or equal to 7x+4

  +12                                               +12

   3x is greater than or equal to 7x+16

   -7x                                               -7x

-4x is greater than or equal to 16

-4x/-4                                          16/-4

x is greater than or equal to -4

Answer: B

Step-by-step explanation:

The transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle ABC has undergone a transformation to form A'B'C' we need to identify the steps of transformation

So, considering the point B and B', we see, that, x-coordinate of B is at 5 and that of B' is at 1, that mean there is a shift of 4 units left,

Now, consider the y-coordinate, we see, that B is at 9 and B' is at 7 that gives a downward shifting of 2 units.

Hence, the transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

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The correct answer is A.To determine which line is orthogonal to the plane, we need to find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The normal vector of the plane 2x + 4y - 2z = 10 is [2, 4, -2].

Calculating the dot product of this normal vector with the direction vectors of the given lines, we find:

A. [2, 4, -2] ⋅ [-1, 0, 1] = 0 (orthogonal)
B. [2, 4, -2] ⋅ [1, 1, 1] = 4 (not orthogonal)
C. [2, 4, -2] ⋅ [2, 1, 0] = 4 (not orthogonal)
D. [2, 4, -2] ⋅ [-1, 1, 1] = 0 (orthogonal)

Based on the dot products, options A and D have direction vectors that are orthogonal to the plane. Therefore, the lines described by options A and D are orto to the plane. The correct answer is A.

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Answer:

1/2 x base x height

Step-by-step explanation:

hope this helps!

An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is always the same.

This common difference is called the common ratio of the arithmetic progression. The general form of an arithmetic progression is a, a + d, a + 2d, ..., where a is the first term and d is a common difference.

The nth term of an arithmetic progression can be found by using the formula: a_n = a + (n-1)d, where a is the first term, d is a common difference, and n is the position of the term in the progression.

If a, b, and c are in arithmetic progression, then the common difference is (b-a) = (c-b).

If d, e, and f are also in arithmetic progression, then the common difference is (e-d) = (f-e).

If a, d are the same and b, e are the same, then c = f.

so the common difference between both progressions is the same, and c = f

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let , and be arithmetic progressions. if and , then what is ? let , and be arithmetic progressions. if and , then what is the common difference

Step 1

Rearrange the equation

Step 2

Test all options by rearrangement

Option A

Option B

Option C

Option D

Hence, the equivalent options to the equation are options B and C

The intersections of the perpendicular bisectors and angle bisectors of a triangle reveal the circumcenter and incenter, which play important roles in triangle geometry.

When constructing the perpendicular bisectors of the other two sides of triangle MPQ, and the angle bisectors of the other two angles of triangle ABC, you will notice that their intersections occur at the circumcenter and incenter of the respective triangles.

The perpendicular bisectors of the sides of triangle MPQ intersect at a point equidistant from the three vertices. This point is known as the circumcenter. The circumcenter is the center of the circle that circumscribes triangle MPQ.

Similarly, the angle bisectors of the angles of triangle ABC intersect at a point equidistant from the three sides. This point is called the incenter. The incenter is the center of the circle inscribed within triangle ABC.

The circumcenter and incenter have significant geometric properties. The circumcenter is equidistant from the vertices of the triangle, while the incenter is equidistant from the sides of the triangle. Additionally, the circumcenter is the intersection of the perpendicular bisectors, while the incenter is the intersection of the angle bisectors.

Overall, the intersections of the perpendicular bisectors and angle bisectors of a triangle reveal the circumcenter and incenter, which play important roles in triangle geometry.

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Answer:

2w

Step-by-step explanation:

weight of 1 brick = w

so to find the weight of 2, times it by 2, which leaves you with 2w

Answer:          20

Step-by-step explanation: