Find three fractions that are equivalent to 1/3

Answer:

the slope, m, is 2/5

Step-by-step explanation:

y = (2/5)x - 7 may be compared to the standard slope-intercept equation

y = mx + b.  By comparison, we find that the slope, m, is 2/5 and the y-intercept, b, is -7.

The magnitude of the vector QP is √73.

To find the component form of the vector QP, we need to subtract the coordinates of point P from the coordinates of point Q. The component form of a vector is represented as (x, y), where x and y are the differences in the x-coordinates and y-coordinates, respectively.

Given that P = (4, 1) and Q = (-4, 4), we can calculate the component form of the vector QP as follows:

x-component of QP = x-coordinate of Q - x-coordinate of P

                 = (-4) - 4

                 = -8

y-component of QP = y-coordinate of Q - y-coordinate of P

                 = 4 - 1

                 = 3

Therefore, the component form of the vector QP is (-8, 3).

To find the magnitude of the vector QP, we can use the formula:

Magnitude of a vector = √(\(x^2 + y^2\))

Substituting the x-component and y-component of QP into the formula, we get:

Magnitude of QP = √((\(-8)^2 + 3^2\))

              = √(64 + 9)

              = √73

Therefore, the magnitude of the vector QP is √73.

In summary, the component form of the vector QP is (-8, 3), and its magnitude is √73. The component form gives us the direction and the magnitude gives us the length or size of the vector.

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Answer:

Kia is incorrect because the only factor of 1 is 1.

Step-by-step explanation:

The quadratic equation given the points (6,0), (-1,0), and (7,4).

The correct answer is h(x) = 1/2(x + 1)(x - 6).

To find the quadratic equation given the points (6,0), (-1,0), and (7,4), we can use the general form of a quadratic equation, which is \(h(x) = ax^2 + bx + c.\)

First, let's substitute the coordinates of the given points into the equation to create a system of equations:

For the point (6,0):

\(0 = a(6)^2 + b(6) + c ---- (1)\)

For the point (-1,0):

\(0 = a(-1)^2 + b(-1) + c ---- (2)\)

For the point (7,4):

\(4 = a(7)^2 + b(7) + c ---- (3)\)

We now have a system of three equations with three unknowns (a, b, c). We can solve this system to find the values of a, b, and c.

Solving the system of equations (1), (2), and (3), we find:

a = 1/2

b = -3/2

c = 0

Thus, the quadratic equation that satisfies the given points is:

h(x) = 1/2(x + 1)(x - 6).

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Answer:

5 dollars

Step-by-step explanation:

because 10 - 3 + 2 - 4 = 5

$2.50 is found to be the proportionality constant for the relationship between the length of track (in inches) and the cost in dollars.

Direct proportionality is represented by the equation y = kx.

Where:

The price of the track is the dependent variable in this situation.

The tracks' length is an independent variable.

$16 = 6.4k

k = 16 / 6.4

k = $2.5

Thus, the constant of proportionality for the relationship between the length of track (in inches) and the cost in dollars is found as $2.5.

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responder: 8,75

Cada dimensión será de 8,75 porque si la longitud es de 25 m de largo y el ancho es 10, si los sumamos y obtendremos 35. Así que 35 dividido entre 4 es 8,75

Answer:

The answer is A

Step-by-step explanation:

The line is perpendicular to RS through S

There are several constructions that can be done with the straightedge and the compass.

The statement that describes the figure Kelly is constructing is: (c) a line parallel to RS through Q

From the figure, we have the following observations

When a line is drawn from point Q through the intersection of these lines, the line would be parallel to line RS.

Hence. we can conclude that:

Kelly is constructing (c) a line parallel to RS through Q

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Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let \(\vec v = (25, 25\sqrt{3})\), where \(\vec v\) is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\(\theta\)), measured in sexagesimal degrees, is determined by trigonometrical means:

\(\theta = \tan^{-1}\frac{v_{y}}{v_{x}}\) (1)

If we know that \(v_{x} = 25\) and \(v_{y} = 25\sqrt{3}\), then the directional bearing of the boat is:

\(\theta = \tan^{-1} \sqrt{3}\)

\(\theta = 60^{\circ}\)

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

Answer:

A) N 30 E

Step-by-step explanation:

Answer:

x = 39.1

Step-by-step explanation:

mean = average off all the numbers =

sum of the numbers / amount of numbers.

35 = sum of the #'s / # of #'s

35 = 100.9 + x / 4

35 × 4 = 100.9 + x / 4 × 4

140 = 100.9 + x

140 – 100.9 = 100.9 + x – 100.9

39.1 = x

x = 39.1

Answer:

x= 4/3

x= -1/2

Step-by-step explanation:

2x (3x-4) +1(3x-4) = 0

Distribute

6x^-8x +1(3x -4) = 0

Multiply by 1

6x^2 -8x +3x-4=0

Answer:

(2x + 1) ( 3x - 4) = 0

solve by factoring

2x + 1 = 0

2x = -1

divided by 2 on both sides

x = -1/2

3x - 4 = 0

3x = 4

divided by 3 on both sides

x = 4/3

x¹ = -1/2 , x² = 4/3 is the solution

Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Pregunta completa:

Calcula el volumen de un prisma cuya base es un hexágono regular con un lado de 3 cm y un área lateral de 18√3 cm ^ 2.

Respuesta:

81/2 cm²

Explicación paso a paso:

El hexágono tiene 6 lados

Longitud de cada lado, L = 3 cm

Por lo tanto, perímetro = 3 * 6 = 18 cm

Área lateral, A = perímetro * altura

A = 18√3; P = 18

18√3 = 18 * h

h = 18√3 / 18

h = √3

Área base = perímetro * apotema / 2

Apotema = raíz cuadrada (3² - (3/2) ²)

Apotema = raíz cuadrada (9 - 9/4)

Apotema = (36 - 9) / 4 = raíz cuadrada (27/4) = √27 / 2

Área base = 18 * √27 / 4 = 9√27 / 2 = 9√9 * 3/2 = 27 / 2√3

Volumen = área de la base * altura

Volumen = 27 / 2√3 * √3

Volumen = 81/2 cm²

Answer:

The probability of P(Aç) = 27/35

The required points (x ,y ) for the curve x = 6t² + 5 , y = t³ -7  has slope 1/2  are ( 29,1).

Slope of the tangent line to the curve = dy/dx

dy/dx = ( dy / dt ) × ( dt / dx )  __(1)

y = t³ -7

⇒ dy /dt = 3t²

x = 6t² + 5

⇒ dx / dt = 12t

Now substitute the value of dy/dt and dx/dt in (1) we get,

dy / dx = 3t² / 12t

⇒ dy /dx = t /4

Slope (dy /dx ) = 1 /2

⇒ t /4 = 1 /2

⇒ t = 2

Point ( x , y ) = ( 6(2)² + 5 , 2³ -7 )

                    = ( 29, 1 )

Therefore, the points (x ,y ) for the curve with tangent line to the curve has slope 1/2 is equal to ( 29, 1) .

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Answer: 24 units

Step-by-step explanation:

From the question:

MO, NO and LO are radii.

If MO = 13, THEN LO = NO = 13

IF NO = 13 and NP = 8, THEREFORE,

PO = NO - NP

PO = 13 - 8 = 5

USING PYTHAGORAS, WE CAN FIND MP:

MP = Sqrt(MO^2 - PO^2)

MP = sqrt(13^2 - 5^2)

MP = sqrt(169 - 25)

MP = sqrt(144)

MP = 12 units

P is the midpoint of Segment ML,

THEREFORE,

MP = PL

ML = MP + PL

ML = 12 + 12

ML = 24 units

Answer:

b.) 24 units

Step-by-step explanation:

correct on edg.

It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.

In the given statement is:

λ = 2.5 x 10^-2 \(min^{-1}\)is the rate constant of the nucleus

To solve this problem, we use

N(t) = \(N_{0}\)e^-λt

and since we are looking for the time it takes to decay the nucleus to one -fourth of its original amount, we set

N(t) = 1/4 \(N_{0}\) = 0.25\(N_{0}\)

We can substitute this in the decay equation:

0.25\(N_{0}\) =\(N_{0}\) e^-λt

Cancel the like terms

0.25 = e ^-λt

Take the natural logarithm of both sides:

㏑(0.25) =㏑(e^-λt)

㏑(0.25)= -λt

Solve for the time t:

t = - ㏑(0.25)/λ

Substitute the given rate constant :

t = ㏑(0.25) / 2.5 x 10^-2 \(min^{-1}\)

t = -1.3863 /2.5 x 10^-2 \(min^{-2}\)

t = 55.452mins

It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.

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Answer:

there was 1300 fewer cars so your answer would be -1300 :-)

Answer:

\( \frac{8}{3} \)

Step-by-step explanation:

\( - 2 \frac{1}{3} - ( - 5)\)

convert mixed fraction into improper fraction.

\( - \frac{7}{3} + ( - 5)\)

calculate the sum of the fraction:

\( \frac{8}{3} \)

Answer:

12inches

Step-by-step explanation:

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Step1: Write the area of the circular Rug

The area of the circle is

From the question the diameter is 25feet, hence the radius is

Step2: substitute the value into the formula

Hence the area of the circular rug is 491.07 square feet

The will take approximately 491square feetyou

The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

Based on the given information, the poultry layer ration contains the following ingredients:

- Maize: 612 g/kg

- Barley: 158 g/kg

- Molasses: 20 g/kg

- Cottonseed Meal: 100 g/kg

- Fish Meal: 100 g/kg

- Dicalcium Phosphate: 10 g/kg

The ration also provides the total requirements for various nutrients, such as metabolizable energy (ME), crude protein (CP), lysine (LYS), methionine (MET), phenylalanine (PHE), tryptophan (TRP), calcium (Ca), phosphorus (P), and sodium (Na).

The complaints regarding funny-looking and terrible-tasting eggs, along with a slight decrease in feed intake, suggest that there may be issues with the ration that are impacting egg quality and palatability. Based on this information, here are some possible explanations and recommendations:

1. Imbalanced Nutrient Composition: The nutrient content of the ration may be imbalanced, leading to poor egg quality and taste. It's important to ensure that the nutrient levels are appropriate for poultry layer production. A consultation with a poultry nutritionist or veterinarian would be beneficial to determine the correct nutrient ratios for the ration.

2. Inadequate Amino Acid Balance: The amino acid balance in the ration is crucial for egg production and quality. The levels of lysine (LYS), methionine (MET), phenylalanine (PHE), and tryptophan (TRP) should be carefully evaluated. Supplementing the ration with specific amino acids or adjusting the protein sources may help improve egg quality.

3. Insufficient Calcium and Phosphorus: Calcium and phosphorus are essential for eggshell formation. The provided ration appears to have low levels of calcium (Ca) and phosphorus (P), which can lead to weak or abnormal eggshells. Increasing the levels of these minerals, either by adjusting the ratio of existing ingredients or incorporating additional calcium and phosphorus sources, may help address this issue.

4. Sodium Imbalance: Sodium (Na) is required for various physiological functions, including egg production. However, the ration seems to have a low sodium content. Ensuring adequate sodium levels in the diet might help stimulate feed intake and improve overall performance.

5. Texture and Processing: The ration is described as a coarsely ground mash. The texture and processing of the feed can influence how well the birds consume and utilize the ration. It might be worth exploring different feed forms (e.g., pellets or crumbles) to improve intake and digestion.

Overall, to alleviate the reported issues with egg quality and palatability, it is recommended to consult with a poultry nutritionist or veterinarian to reformulate the ration. The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

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The algebraic expression for the phrase "the quotient of y and 6" is y / 6

The difference of -3 - 4 is -7.

The algebraic expression of the following phrase "the quotient of y and 6" is as follows:

Quotient is a quantity produced by the division of two numbers.

Therefore, the algebraic expression for the phrase "the quotient of y and 6" is y / 6

The difference of -3 - 4 can be calculated as follows:

The difference of -3 - 4 is -7.

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Answer:

y=5/3x-4

Step-by-step explanation:

The given equation can be written in the slope intercept form as y = 5/3x - 4.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given equation is -3y + 5x = 12.

Since the general form of  slope-intercept equation is given as y = mx + c.

The given equation can be written as,

-3y + 5x = 12

=> -3y = -5x + 12

=> y = 5/3x - 4

Hence, the slope-intercept form of the given equation is y = 5/3x - 4.

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Answer:

-20/24 or -5/6

Step-by-step explanation:

Hope this helps!

Answer:

x=5/6

Step-by-step explanation:

-16x - 7 = 8x + 13

  -8          -8

-24x + -7 = 13   (Change addition to subtraction and add the opposite)

            7     7

-24x = 20

24        24

x = 0.8333333

x=5/6

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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In this configuration, there are two protons located at the origin and on the x-axis at x1 = 5.74 fm. (a) To calculate the electric potential energy associated with this configuration, we can use the formula U = kq1q2/r, where k is the electrostatic constant (approximately 8.99 x 10^9 Nm²/C²), q1 and q2 are the charges of the two protons (both equal to the elementary charge, approximately 1.6 x 10^-19 C), and r is the distance between them (in this case, 5.74 fm). Plugging in these values, we can calculate the electric potential energy.

(b) When an alpha particle (charge = 2e, mass = 6.64 x 10^-27 kg) is placed at (x2, y2) = (2.67, 2.67) fm, we can calculate the electric potential energy associated with this configuration using the same formula.

(c) If the alpha particle is allowed to escape to infinity while the two protons remain fixed in place, the change in electric potential energy can be calculated by subtracting the initial potential energy (calculated in part (b)) from the potential energy when the alpha particle is at infinity.

(d) Conservation of energy can be used to determine the speed of the alpha particle at infinity. The initial potential energy of the system (when the alpha particle is at (x2, y2)) will be equal to the sum of the kinetic energy of the alpha particle at infinity and the final potential energy of the system (when the alpha particle is at infinity).

(e) If the two protons are released from rest and the alpha particle remains fixed, the speed of the protons at infinity can be calculated using conservation of energy. The initial potential energy of the system (when the protons are at their initial positions) will be equal to the sum of the kinetic energy of the protons at infinity and the final potential energy of the system (when the protons are at infinity).

In summary, the electric potential energy associated with the given configurations is calculated using the formula U = kq1q2/r. By applying conservation of energy, we can determine the change in potential energy and the speeds of the particles at infinity in different scenarios.

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