Kevin is going to keep some pigs in the field.
Each pig needs an area of 36 square metres.
Work out the greatest number of pigs Kevin can keep in the field

Answer:

20

Step-by-step explanation:

Answer:

b. a translation 5 units [right] and 2 units down

Step-by-step explanation:

Start with Figure N. The figure is now transformed into Figure O. Notice that Figure O has the same size, shape, and orientation as Figure N. That means there is no scaling, no mirror reflection, and no rotation. There is only a translation.

The upper right vertex of Figure N is now the upper right vertex of Figure O.

The coordinates of the upper right vertex went from (0, 4) to (5, 2).

The x-coordinate went from 0 to 5.

5 - 0 = 5

A translation of 5 in x is a translation of 5 units to the right.

The y-coordinate went from 4 to 2.

2 - 4 = -2

A translation of -2 in y is a translation of 2 units down.

Answer: b. a translation 5 units [right] and 2 units down

(I think you left out the word "right" in choice b.)

The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

The given two figures are formed by the transformation.

The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.

So, the transformation of x coordinate is,

\(1-(-4)=5\rm\;units\)

And transfrmation of y coordinate is,

\(-1-1=-2\rm\;units\)

The figure is not rotated at any angle as they both are identical in orientation.

From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).

Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

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Answer:

C

Step-by-step explanation:

edge 21

Answer:

C or 3

Step-by-step explanation:

took the test

The average age of 14 girls and their teacher is 15 years. When the teacher's age is excluded, the average age is reduced by 1 year. We can calculate the teacher's age by solving this problem using the concept of average age and basic algebraic equations.

Let's denote the teacher's age as T. The average age of the 14 girls and the teacher is 15 years, so we can write the equation:

(14 girls' ages + T) / 15 = 15

Multiplying both sides by 15, we have:

14 girls' ages + T = 15 * 15

14 girls' ages + T = 225

Now, we know that when the teacher's age is excluded, the average age is reduced by 1 year. This means that the average age of the 14 girls alone is 15 - 1 = 14 years. We can write another equation using this information:

14 girls' ages / 14 = 14

Multiplying both sides by 14, we have:

14 girls' ages = 14 * 14

14 girls' ages = 196

Now, we can subtract this equation from the first equation we derived:

(14 girls' ages + T) - 14 girls' ages = 225 - 196

Simplifying the equation:

T = 29

Therefore, the teacher's age is 29 years.

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Given,

the coordinates of the point is P(-4, -1) and N(1, -8).

Required

The distance between the point P and N.

The distance between the point P and N.

Hence, the distance between the points is sqrt(74).

4x^2 + 2x - 4

Hope this helps

Step-by-step explanation:

if this figure is rectangle then opposite side of rectangle are equal

perimeter= sum of all sides

156=5x-3+5x-3+4x+4x

156=18x-6

x=9

So length of side WX is 9. 4

WX= 36

Use law of sines:

Cos(x) = adjacent/ hypotenuse

cos(x) = 8.8/13

X = arcsin(8.8/13)

X = 47.396 degrees

Rounded to the nearest tenth = 37.4 degrees

Answer:

-2x

Step-by-step explanation:

3-(2x-5)-8=

3+-2x+5-8=

(-2x)+(3+5+-8)=

-2x

Answer:

An equivalant faction would be 10/12

Step-by-step explanation:

Answer:

10/12

Step-by-step explanation:

12/6 = 2

5/6 * 2/2 = 10/12

Answer: 10/12

Answer:

Step-by-step explanation:

-8 - 12

-20

-½ - ½

-1

-7 + 3

-4

3 - 7

-4

3x + 10x - 7x + 1 + 9

6x + 10

-15/-3

5

-10/5

-2

-3(-2x - 5)

6x + 15

-4(5x + 9)

-20x - 36

-5(x - 6)

-5x + 30

Best of Luck!

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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The length of this rectangular room is equal to 9 meters.

The breadth of this rectangular room is equal to 5 meters.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = xy

Where:

If length would become 3 meters less and breadth would become 1 meter more, we have the following expressions;

y = x - 3

x = y + 1

45 = xy

When the rectangle turns to a square, all of the side lengths become equal;

y + 1 = x - 3

x = y + 4

From the area of a rectangle formula, we have:

45 = (y + 4)y

45 = y² + 4y

y² + 4y - 45 = 0

y² + 9y - 5y - 45 = 0

y(y + 9) - 5(y + 9) = 0

y = 5 or -9 meters.

For the length, we have:

x = y + 4

x = 5 + 4

x = 9 meters.

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Por movimiento rectílineo uniforme, Camila se desplaza a una velocidad constante de 1 / 12 kilómetros por minuto.

En este problema tenemos que Camila debe viajar diariamente una distancia (s) de un kilómetro para ir a su escuela y que esto se realiza a velocidad constante (v), en kilómetros por minuto, en un tiempo (t) de 12 minutos. Físicamente hablando, tenemos que Camila se desplaza conforme a un caso cinemático conocido como movimiento rectilíneo uniforme:

v = s / t

Si sabemos que s = 1 km y t = 12 minutos, entonces la velocidad descrita por Camila en su viaje es:

v = (1 km) / (12 min)

v = 1 / 12 km / min

La velocidad constante según movimiento rectilíneo uniforme es de 1 / 12 kilómetros por minuto.

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Answer:

70 mph it would be 8 hours and 10 minutes

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

The equation will change from f(t) = 1022 - 45t to 572 = 1022 - 45t. First subtract 1022 from both sides simplifying the equation to -45t = -450. Then, divide both sides by -45 to get the answer t = 10. Check your answer by putting it back into the equation. 572 = 1022 - 45(10) which goes to

572 = 1022 - 450 which goes to 572 = 572.

Answer:

So basically if there's 6 numbers on each dice, that means that there's a 5/6 chance of not getting a 3. So multiply that and you get 5/6*5/6. That is equal to 25/36 change.

The average rate of change of the function f(x) on the interval 1 ≤ x ≤ 8 is given as follows:

5.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

The parameters for the function are given as follows:

Hence the average rate of change for the function is given as follows:

r = (25 - (-10))/(8 - 1) = 35/7 = 5.

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Let, number of small, medium and large popcorn sold are s, m and l respectively.

So, s + m + l = 250    ....1)

Also, l = 2s     ....2)

Total sum = $1726 = 2s + 5m + 10l     .....3)

Putting value of l from 2) to 1) is :

s + m + 2s = 250

m + 3s = 250    

m = 250 - 3s      ....4)

Putting value of m and l in terms of s in equation 3)

We get :

2s + 5( 250 - 3s ) + 20s = 1726

7s = 1726 - 1250

s = 68

l = 136

m = 250 -3(68) = 46

Now,

\(P_s=68\times 2 = \$136\\\\P_m = 46\times 5 = \$230\\\\P_l = 136\times 10 = \$1360\)

Hence, this is the required solution.

\( - x + 1 = 4x - 14 \\ - x - 4x = - 14 - 1 \\ - 5x = - 15 \\ x = 3\)

Substitute x = 3 in any given equations. I will do in y = - x + 1

\(y = - x + 1 \\ y = - 3 + 1 \\ y = - 2\)

Therefore the answer is (3,-2)

The measure of the final interior angle of the pentagon is 127 degrees, which is an option (b).

To find the measure of the final interior angle of a pentagon, we first need to know the sum of the interior angles of a pentagon. The formula to find the sum of interior angles of a polygon is (n-2) × 180°, where n is the number of sides. A pentagon has 5 sides, so the sum of its interior angles is (5-2) × 180° = 3 × 180° = 540°.
We are given the measurements of four interior angles: 156°, 72°, 98°, and 87°. To find the measure of the final interior angle, we subtract the sum of these four angles from the total sum of the interior angles of a pentagon:
540° - (156° + 72° + 98° + 87°) = 540° - (413°) = 127°.
Thus, the measure of the final interior angle is 127°, which corresponds to option b.

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Answer:

10/85=8/x 10x=680 x=680/10 x=68

Step-by-step explanation:

hehe boris

According to the given question we have The mass of the ball of radius 3 is approximately 15π (1 - e^(-27)) ≈ 65.2.

To find the mass of the ball, we need to integrate the density over the entire volume of the ball. We can use spherical coordinates to make this calculation easier.

First, let's set up the integral in terms of spherical coordinates. The density function is given in terms of (rho, phi, theta), where rho is the distance from the origin, phi is the angle between the positive z-axis and the vector, and theta is the angle between the positive x-axis and the projection of the vector onto the xy-plane. We can express the volume element in terms of these variables as:

dV = rho^2 sin(phi) d rho d phi d theta

Now, we can set up the integral:

m = ∭V (rho,φ,θ) dV
 = ∫0^2π ∫0^π ∫0^3 5e^(-rho^3) rho^2 sin(phi) d rho d phi d theta

We can solve this integral using u-substitution:

Let u = rho^3, then du = 3rho^2 d rho

The limits of integration also change:

When rho = 0, u = 0
When rho = 3, u = 27

Using these substitutions, the integral becomes:

m = 15π ∫0^27 e^(-u) du
 = 15π (-e^(-27) + 1)

Therefore, the mass of the ball is approximately 15π (1 - e^(-27)) ≈ 65.2.

In summary, the mass of the ball of radius 3 centered at the origin with a density of (rho, phi, theta) = 5e^(-rho^3) is approximately 65.2.

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For the binomial distribution, √npq formula finds the standard deviation.

See the image below for the complete solution to the question:

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Answer:

Step-by-step explanation:

We have to solve the given expression,

\(\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}\)

\(\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}\) = \(\frac{-y(-9+33y+3y^3)}{100-49y^2}.\frac{7y^2+17y+10}{14y(y+2)}\)

                                   = \(\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{7y^2+10y+7y+10}{14y(y+2)}\)

                                   = \(\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{y(7y+10)+1(7y+10)}{14y(y+2)}\)

                                   = \(\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{(y+1)(7y+10)}{14y(y+2)}\)

                                   = \(\frac{-3y(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14y(y+2)}\)

                                   = \(\frac{-3(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14(y+2)}\)

                                   = \(\frac{3(3-11y-y^3)(y+1)}{(10-7y)(14(y+2)}\)

A system of n number of linear equations in n unknowns has an many number of solutions if the coefficients of matrix is unique. The assertion is always accurate. The given statement is always true.

From the question, the given statement is:

A system of n linear equations in n unknowns has an endless number of solutions if the matrix of coefficients is unique. The assertion is always accurate.

The given statement is always true.

Consider the system of equations Ax = b. If A is single, there is no A-inverse. As a result, there is no one approach to solve the system. Then, there are still two options:

We can't tell which condition is right only examining the matrix [A b]. There exists an endless number of solutions if [A b] is equal to A's rank.

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Growth factor is the factor by which the quantity is multiplied by itself by the number of times of that factor. The growth factor of the function is 6. Thus the option 3 is the correct option.

Given information-

The given function is,

\(f(x)=\dfrac{1}{3} \times (6)^x\)

Growth factor is the factor by which the quantity is multiplied by itself by the number of times of that factor.

For a function,

\(A(x)=c\times a^x\)

Here \(c\) is the initial value and the \(a\) is the growth factor of the function.

Compare given function with above function,

\(f(x)=\dfrac{1}{3} \times (6)^x\)

Here 1/3 is the initial value of the function and 6 is the growth factor of the function.

Hence the growth factor of the function is 6. Thus the option 3 is the correct option.

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Answer:

6 or c

Step-by-step explanation:

on edge

Answer:

355.83 yd²

Step-by-step explanation:

A = (B + b)h/2

A = (21.6 yd + 19.3 yd)(17.4 yd)/2

A = 355.83 yd²

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (6)^3

V =288 pi

If pi = 3.14

V =904.32

If  we use the pi button

V =904.7786842

Answer:

3/2

Step-by-step explanation:

write out equation

x^2*6+x=15

factor

6x^2+x-15=0

(2x-3)(3x+5)=0

x=3/2, x=-5/3

-5/3 is negative, so 3/2 is the answer

The quadratic equation is solved and the number is x = 3/2

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

David thinks of a positive number

Let the number be x

He squares it and multiplies the result by 6.

He then adds on his original number and gets an answer of 15

x + 6x² = 15

6x² + x - 15 = 0

On solving the quadratic , we get

(2x - 3)(3x + 5) = 0

2x - 3 = 0 or 3x + 5 = 0

Solving for x in each case gives:

2x = 3 or 3x = -5

x = 3/2 or x = -5/3

Since x is a positive number, the only valid solution is

x = 3/2

Hence , David is thinking of the number 3/2

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