Find the values of X and y in the diagram.

Answer:

Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.

Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.

Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.

Entonces, en la transformación de (1) a (2), los cambios en los puntos son:

A (1, 7) --> A₁ (11, 11)                (sumamos 10 al eje x, sumamos 4 al eje y)

B (0, 9) --> B₁ (10, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

C (3 , 9) --> C₁ (13, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y  + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.

Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).

De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:

A₁ (11, 11) --> A₂ (9, 1)     (restamos 2 en el eje x, restamos 10 en el eje y)

B₁ (10, 13) --> B₂ (8, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

C₁ (13, 13) --> C₂ (11, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).

Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).

Answer:

3rd one

Step-by-step explanation:

Answer:

Yh I agree the 3erd one

Step-by-step explanation:

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

4x² - 12x + 9

Step-by-step explanation:

Use the foil method.

(2x - 3) (2x - 3)

= 4x²- 6x - 6x + 9

= 4x² - 12x + 9

Answer:

\(Square \ of \ (2x - 3) = 4x^2 - 12x + 9\)

Step-by-step explanation:

\((a +b)^2 = a^2 + b^2 + 2ab\)

  \((2x + (- 3))^2 = (2x)^2 + ( -3 )^2 + ( 2\times 2x \times - 3)\\\\\)

                    \(= 4x^2 + 9 + ( -12x)\\\\=4x^2 - 12 x + 9\)

Answer:

Here is the detailed answer below

Step-by-step explanation:

We can obtain the distance between the

coordinates of JM thus:

Distance = y2-y1; x2-x1

Distance (8-5); (5 - (-6) = (3, 11)

=

Hence, the change in the coordinates is (3,

11)

Therefore, the coordinates of K can be

obtained thus:

(8+3);(5 +11) = (11, 16)

The midpoint is the exact middle of a line

segment which divides the line into two

equal lengths. Hence, the coordinate of K is

(11, 16)

Hence, the coordinate of K is (11, 16)

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In the expression 7x + 15, 15 is a COEFFICIENT: False.

In the expression 7x + 15, 15 is a constant.

3x + 7 means (3x + 7) DIVIDED BY 2: False.

3x + 7 means 3x plus 7.

You can rewrite 2(4 + 8) as (2)(4) + (2)(8) using the DISTRIBUTIVE PROPERTY: True.

In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

By applying the distributive property of multiplication to left side of the equation, we have the following:

2(4 + 8) = (2)(4) + (2)(8)

2(12) = 8 + 16

24 = 24

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Answer:

The second one

Answer: The second one i think

Step-by-step explanation:

Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

The yield to maturity (YTM) of the bonds can be calculated using the current market price, the coupon rate, and the time to maturity. In this case, the bonds were issued two years ago with a coupon rate of 7.40% and are currently selling for 87.70% of their par value. The YTM represents the annualized rate of return that an investor would earn if they held the bond until maturity.

To calculate the yield to maturity (YTM), we need to solve for the discount rate that equates the present value of the bond's cash flows (coupon payments and the final principal payment) to its current market price.

Given that the bond has a 23-year maturity and was issued two years ago, the remaining time to maturity is 21 years.

Using the information provided, we can set up the equation:

87.70% = (Coupon Payment / (1 + YTM)^1) + (Coupon Payment / (1 + YTM)^2) + ... + (Coupon Payment / (1 + YTM)^21) + (Par Value / (1 + YTM)^21)

Solving this equation for YTM will give us the yield to maturity. The process involves using numerical methods or financial calculators to find the root of the equation.

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The yield to maturity (YTM) of the soprano's spaghetti factory bonds can be calculated using the current market price, the coupon rate, and the time to maturity. In this case, with the bonds currently selling for 87.70 percent of par value and a coupon rate of 7.40 percent, the YTM can be determined.

The YTM is the total return anticipated on a bond if held until maturity, taking into account the current market price, coupon payments, and time to maturity. To calculate the YTM, we need to find the discount rate that equates the present value of all future cash flows (coupon payments and the principal repayment) to the current market price.

In this scenario, the bonds currently sell for 87.70 percent of par value, which implies that the market price is 0.877 times the face value. We also know the coupon rate is 7.40 percent, which represents the annual coupon payment as a percentage of the face value.

To calculate the YTM, we need to find the discount rate that satisfies the following equation:

Market Price = Coupon Payment / (1 + YTM)^1 + Coupon Payment / (1 + YTM)^2 + ... + Coupon Payment / (1 + YTM)^(n-1) + (Coupon Payment + Face Value) / (1 + YTM)^n

Where n is the number of years to maturity. By solving this equation for YTM, we can determine the yield to maturity for the soprano's spaghetti factory bonds.

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Answer:

x=34

Step-by-step explanation:

3x+1+2x+9=180

10+5x=180

5x=170

x=34

Answer:

y=1

Step-by-step explanation:

3x+y=7

x=2y

3(2y) + y=7

6y+y=7

7y=7

÷ 7

y=1

Answer:

3x+y=7

X=2y

collecting like terms:

3x+y=7

x-2y=0

eliminate like terms:

(first multiple both equations with 0 and 3)

(3x+y=7)0

(x-2y=0)3

The result is as follows:

3x+y=7

3x-6y=0

5y=7

devide by 5

y=1.4

then we solve for X now cause we know the value of y

3x+1.4=7

let's collect like term

3x=7-1.4

3x=5.6

devide by 3 both sides

X= 1.87

3(1.87)+1.4=7

Answer:

Step-by-step explanation:

The next (best) step is to divide everything by a.

D is not correct because only bx is divided by a. You cannot neglect to divide -c by a

B will eventually be done in some form but it is much easier to deal with division by a. The way b is done is not correct.

A is completely wrong. It's far to soon to be dealing with square roots.

Answer:

The slope of y=45 is 0

a. the difference in the two data provided =31072940 - 24658823 = 6414117

b. the sum of the two data to the nearest thousand hundred = 31072940 - 24658823 = 55731763

nearest to Thousand hundred = 55730000

Answer:

Final Cost, Price with tax, and Discount.

Step-by-step explanation:

The given mathematical program can be transformed into a regular linear programming problem that can be solved using the Simplex method. The objective is to maximize the summation of cj * xj, subject to the constraint ∑aij * xj ≤ bj for each row j.

To convert this into the standard form, we introduce non-negative slack variables, denoted as sj, for each constraint. The constraints then become ∑aij * xj + sj = bj, where sj ≥ 0. This ensures that all the constraints are expressed as equations rather than inequalities.

Next, we rewrite the objective function as a maximization problem by introducing non-negative surplus variables, denoted as yj, for each decision variable xj. The objective function is transformed into max ∑cj * xj - ∑Mj * yj, where Mj is a large positive constant.

By introducing the slack variables and surplus variables, we convert the original mathematical program into a standard linear programming problem that can be solved using the Simplex method. The objective is to maximize the transformed objective function, subject to the constraints in the form of equations. The Simplex method can then be applied to find the optimal solution.

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Answer:C

Step-by-step explanation:

The length of the second arc is 8 feet.

The rope is swinging in such a way that the length of the arc is decreasing geometrically.

If the first arc is 18 feet long and the third arc is 8 feet long,

The length of the second arc :

In order to find the second arc length, we need to use the formula of the geometric sequence.

We have to understand what is given and what is required.

Given : First arc = 18 feet

Third arc = 8 feet.

To Find : Length of the second arc.

The formula of the geometric sequence is :

\(a_n\) = \(a_1\) × rn − 1

where, r = Common ratio \(a_1\) = First term \(a_n\) = \(n^{th}\) term

Here, the length of the first arc is \(a_1\) = 18.

The length of the third arc is \(a_3\) = 8.

We have to find the length of the second arc, which is \(a_2\)

Using the formula of the geometric sequence, we can find the \(a_1\): r= \(a_3\) / \(a_2\)

We know that \(a_1\)= 18 and \(a_3\)= 8

Substitute the values: r= 8 / \(a_2\)

Now, we can rewrite the formula of the geometric sequence: an=\(a_1\)×rn−1an= \(a_1\) x r(n-1)

The length of the first arc is \(a_1\) = 18 feet.

Substituting the value of r, we get:

8 / \(a_2\) = r18 x r(n-1) = \(a_2\)

We are given that the length of the third arc is 8 feet,

thus : 8 = 18 x r(3-1)8

= 18 x \(r_2\)\(r_2\)

= 8 / 18\(r_2\)

= 4 / 9r

= √(4/9)

Using this value of r, we can find the length of the second arc :

\(a_2\) = 18 x (4/9) (2-1) \(a_2\)

= 18 x (4/9)\(a_2\)

= 8

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A vector is in the direction 39.0∘ clockwise from the −y-axis. The x-component of A is Ax = -18.0 m. What is the y-component of A? To determine the y-component of A, we will use the trigonometric ratio.

sinθ = opposite/hypotenuse where θ = 39.0°, hypotenuse = |A|, and opposite = Ay. Therefore, sinθ = opposite/hypotenuse Ay/|A| = sinθ ⟹ Ay = |A| sinθSince A is in the third quadrant, its y-component is negative.

Ay = - |A| sinθWe know the x-component and we know that it is negative, so the vector is in the third quadrant, and the y-component is negative.

Ax = -18.0 m, θ = 39.0°We know that the magnitude of A is:

A = √(Ax² + Ay²)Since Ax = -18.0 m, we can substitute it into the equation:

A = √((-18.0)² + Ay²)B) The magnitude of A is |A| = 19.4 m.

We can conclude that the y-component of A is -11.5 m, and the magnitude of A is 19.4 m.

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The y-component of vector A, given that the vector is pointing 39 degrees clockwise from the -y axis and has an x-component of -18 m, is approximately -14.67 m. The magnitude of this vector is about 23.03 m.

Firstly, since the vector A is pointing 39 degrees clockwise from the -y axis, it means our angle with respect to the standard x-axis is 180-39 = 141 degrees. We use the trigonometric relation cos(α) = Ax/A or Ax = A cos(α) to isolate A in the equation (magnitude of A), we get that A = Ax/cos(α). Substituting given values, we get A approximately equal to 23.03 m.

Then, the y-component can be found using sine relation: Ay = A sin(α). Substituting A=23.03 m and α= 141 degrees gives us Ay approximately equal to -14.67 m. Therefore, the y-component of A is -14.67 m and the magnitude of A is approximately 23.03 m.

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The answers are explained in solution below.

Given is a figure of a circle, we need to find the measures related to it,

The radius of outer circle = 8 cm

The radius of the inner circle = 4 cm.

1) The circumference of the outer circle = π × diameter = 16π cm

2) The circumference of the inner circle = π × diameter = 8π cm

3) The area of the outer circle = π × radius² = 64π cm²

4) The area of the inner circle = π × radius² = 16π cm²

Length of an arc = central angle / 360° × π × diameter

5) The length of arc BC = 80 / 360° × 16π = 3.5π cm

6) The length of arc ST = 80 / 360° × 8π = 1.7π cm

Area of a sector = central angle / 360° × π × radius²

7) The area of sector BPC = 80 / 360° × 64π = 14.22π cm²

8) The area of sector SPT = 80 / 360° × 16π = 3.5π cm²

9) The radian measure of angle BPC = 80° × π/180° = 4π/9

10) The radian measure of angle SPT = 80° × π/180° = 4π/9

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The values of a and b in the exponential function f(x) = \(ab^x\) can be found by using the two given points and solving a system of two equation.

To find the values of a and b in the exponential function f(x) = \(ab^x\) given that it passes through the points (0, 11) and (3, 1375), we can use the supplied positions where a and b must be solved.

Let's start with the point (0, 11). Plugging x = 0 and y = 11 into the equation, we have:

11 = \(a * b^0\)

Since \(b^0\) = 1 for any value of b, we have:

11 = a * 1

So a = 11.

Next, let's use the point (3, 1375) to find b. Plugging x = 3 and y = 1375 into the equation, we have:

1375 = \(11 * b^3\)

Dividing both sides of the equation by 11, we have:

125 = \(b^3\)

By combining the cube roots of the two sides, we obtain:

b = 5

So the values of a and b are a = 11 and b = 5. The exponential function that passes through the points (0, 11) and (3, 1375) is f(x) = \(11 * 5^x\).

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The complete question is:

an exponential function f(x) = \(ab^x\) passes through the points (0, 11) and (3, 1375). Find the values of a and b?

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

2/100=0.02

0.02*15=33.3

111+33.3

144.3

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The test statistic for this problem is given as follows:

t = -0.7.

We have the standard deviation for the sample, hence the t-distribution is used to calculate the test statistic.

The equation for the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{x} = 68.4, \mu = 69, s = 10.5, n = 152\)

Hence the test statistic is given as follows:

\(t = \frac{68.4 - 69}{\frac{10.5}{\sqrt{152}}}\)

t = -0.7.

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Answer:

D) 10.00 for a 36 pack

Step-by-step explanation:

(I'm going up by the smallest pack to the highest because I noticed they are all multiples of 6)

1.80 for a 6 pack (double it to become a 12 pack)

3.60 for a 12 pack but the other 12 pack is more expensive making a 6 pack cheaper. (add another 6 pack)

5.40 for a 18 pack (add another 6pack)

7.20 for a 24 pack so this means the 6pack is more expensive and a 24pack is cheaper (in gonna keep adding till we get to 36 pack)

9 for a 30 pack

10.80 for a 36 pack

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

\(13 -( 2p + 1 )= - 2p + 12\)

Then find distance between 13, and 5p-3

\(5p - 3 - ( 13) = 5p - 16\)

Terms in a AP progression should have same distances as each other.

\(5p - 16 = - 2p + 12\)

\(7p = 28\)

\(p = 4\)

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.