a rectangle is 25 feet long its area 375 square feet.
What is the perimeter of the rectangle

The radius of the circle we found in the equation x² + y² - 18y = 0 is 9.

The circle has a center point and a line that goes around the edge of the circle that is always the same distance from the center.

This distance is called the radius.

Now, let's look at this equation:

x² + y² - 18y = 0.

This equation tells us something about a circle.

The x² and y² terms are there because they help describe the circle's shape.

The -18y term is telling us how high up the circle is on the paper.

The radius of the circle, we need to do a little bit of math.

We can start by rearranging the equation:

x² + (y² - 18y) = 0

Now, we can complete the square for the y terms.

This means we can add and subtract a number from inside the parentheses to make it look like a square:

x² + (y² - 18y + 81 - 81) = 0

The first three terms inside the parentheses now look like a square:

x² + (y - 9)² - 81 = 0

Finally, we can add 81 to both sides of the equation:

x² + (y - 9)² = 81

The equation looks like the equation for a circle! Specifically this is the equation for a circle with center at (0, 9) and radius 9.

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Answer:

a = -5/3

Step-by-step explanation:

3/a × -4 = 20

3a × -4/-4 = 20/-4

3a = -5

a = -5/3

Check:

3/(-5/3) × - 4 = 20

-5 × - 4 = 20

The first four nonzero terms of the Taylor series is,

f(x) = 1 + x/2 - x²/8 + 3x³/48  for, x = 0.

We can perform a Taylor series expansion (also known as the Maclaurin Series) for a general function f (x) by carrying out the following:

f(x) = f(0) + x⋅f'(0) + x²⋅f''(0)/2! + x³⋅f'''(0)/3! +....

In this case, we have

f(x) = √1+x,

f(0) = 1

f'(0) = 1/2

f''(0) = −1/4

f'''(0) = 3/8

So the first four nonzero terms of the Taylor series is,

f(x) = 1 + x/2 - x²/8 + 3x³/48

An infinite sum of terms stated in terms of the function's derivatives at a single point is the Taylor series, also known as the Taylor expansion, of a function.

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The two-column proof that shows that lines c and d are parallel lines is explained below.

The converse of corresponding angles theorem states that if two angles that are each on two lines that a transversal intercept are congruent to each other, then the two lines that lie on are parallel to each other.

Liens a and b are given to be parallel lines, and also, we know hat angles 2 and 3 are congruent to each other. The two-column proof below will show how both lines, c and d, are parallel to each other.

Statement                                  Reasons                                            

1. a║b                                       1. Given

2. ∠2 ≅ ∠3                              2. Given

3. ∠1 ≅ ∠3                               3. Alternate Interior ∠s Theorem

4. ∠1 ≅ ∠2                               4. Transitive Property

5. c║d                                      5. Converse of corresponding ∠s Theorem

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Answer:

x: number of days

y: number of total pounds.

For 12 elephants, we have the expression is:

Then, for the given number of days, we have x = 5.

Substituting the value of x we have:

an expression to represent the number of pounds of food a herd of 12 elephants eat in 5 days is:

The find the answer for this particular question you would you would multiply 12 by 300 which is 3600, and you would then multiply that by 5 which is 18000

Answer: 21,000

Step-by-step explanation: 14 . 300 = 4,200

4,200 . 5 = 21,000

Answer:

y = -2/5x - 3

Step-by-step explanation:

y= -2/5x + b

-3 = -2/5(0)  + b

-3 = 0 + b

-3 = b

Answer:

La fracción de bombones que se comieron entre los dos es \(\frac{7}{10}\)

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

\(\frac{1}{5} +\frac{1}{2}\)

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

Entonces:

\(\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}\)

Ahora  simplemente sumas los denominadores:

\(\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}\)

La fracción de bombones que se comieron entre los dos es \(\frac{7}{10}\)

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

\(1-\frac{7}{10}\)

Restando de manera similar al procedimiento usado para la suma se obtiene:

\(1-\frac{7}{10}=\frac{3}{10}\)

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12  bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

\(cantidad total de bombones=\frac{1*12}{\frac{3}{10} }\)

cantidad total de bombones=40

La caja tenía 40 bombones.

Answer:

11.8 g/cm³

Step-by-step explanation:

density = mass / volume

density of silver spoon = 68.5 / 5.8 = 11.8

density = 11.8 g/cm³

Answer:

• The scale factor of the volume of the bags is 20.

• The scale factor of the dimensions of the two bags is 2.7

• The scale factor of the surface areas of the two bags is 7.4

Explanation:

Given:

• The volume of the small bag = 2 pounds.

• The volume of the large bag = 40 pounds.

We want to determine the ratio by which the surface area of the small bag increases.

First, given the side lengths of two solids:

• The, ratio of the surface areas, of the two solids is ,the ratio of the square of the side lengths,.

• The, ratio of the volume, of the two solids is ,the ratio of the cubes of the side lengths,.

Let the side lengths of the large and small bag be x and y respectively.

The scale factor of the volume of the bags is 20.

Next, find the ratio of the side lengths by taking the cube root of both sides.

The scale factor of the dimensions of the two bags is 2.7

Therefore, the ratio of the surface areas will be:

The scale factor of the surface areas of the two bags is 7.4

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Good luck.

Answer:

.

Step-by-step explanation:

                            .

Answer: 5 out of 12 or 41.67%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check by direct substitution.  If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero.  Therefore x = 3/2 is not a solution.

(3*5−2)(5+5)=0  False.  x = 5 is not a solution.

(3*[-5]−2)([-5+5)=0  True.  x = -5 is a solution

x = 2/3:  (3*2/3 - 2)( ) = 0.  True  x = 2/3 is a solution

x = -2/3:  ( )( ) = -17 1/3;  so x = -2/3 is not a solution

x = -3/2:  ( ) ( ) = -22 3/4; so x = -3/2 is not a soution

The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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Answer:

Step-by-step explanation:

Answer:

32.4/-4.6 nearest circumfrence :)

Step-by-step explanation:

hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !

The sum of the arithmetic series of 28 + 28.4 ...+ 42 is 1260.

An arithmetic series is a sequence of numbers in which each term is obtained by adding a constant difference, called the common difference, to the preceding term.

To resolve this issue, we can utilise the following formula for the sum of an arithmetic series:

S = (n/2) * (a₁ + aₙ)

When n is the number of terms, a1 is the first term, and an is the nth term, S is the series total.

To find the number of terms, we need to figure out the pattern of the series. The common difference (d) is expressed as follows:

d = 28.4 - 28 = 0.4

To get from 28 to 42, we need to add (42 - 28)/0.4 = 35 terms.

So the number of terms is:

n = 35 + 1 = 36

The first term is a₁ = 28, and the last term is aₙ = 42.

Now we can plug these values into the formula:

S = (n/2) * (a₁ + aₙ)

= (36/2) * (28 + 42)

= 18 * 70

= 1260

Therefore, the sum of the arithmetic series is 1260.

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(a) The point of intersection lies on the line passing through P and Q and is (9, -1, 9).

(b) The equation of the plane passing through the three points P(2, 0, 1), Q(0, 4, −1), and R(−1, 3, 0) is 2x + 4y + 6z = 20.

(c) The equation of the plane passing through the point P(-4, 3, 0) and containing the line with parametric equations x = 3 + 5t, y = 1 − 3t, and z = −2 + 7t is 101x + 135y + 65z = -14260.

(a)

Find the direction vector of the line by subtracting the coordinates of P from the coordinates of Q:

direction vector = Q - P = (9, -1, 9) - (1, 0, 6) = (8, -1, 3)

Substitute the coordinates of an arbitrary point on the line into the equation of the plane and solve for the parameter t:

x + y − z = 11

(1 + 8t) + (0 - t) - (6 + 3t) = 11

4t - 4 = 0

t = 1

Substitute the value of t found in step 2 into the equations for x, y, and z to get the coordinates of the point of intersection:

x = 1 + 8t = 9

y = 0 - t = -1

z = 6 + 3t = 9

So, the point of intersection is (9, -1, 9).

Check that the coordinates of the point of intersection lie on the line by substituting them into the equation for the line and verifying that the parameter t equals 1:

(9 - 1) / 8 = (-1 - 0) / (-1) = (9 - 6) / 3 = 1

Since t equals 1, the point of intersection lies on the line passing through P and Q.

(b)

Find two direction vectors for the plane by subtracting the coordinates of P from those of Q and R:

u = Q - P = (0, 4, -1) - (2, 0, 1) = (-2, 4, -2)

v = R - P = (-1, 3, 0) - (2, 0, 1) = (-3, 3, -1)

Find the normal vector of the plane by taking the cross product of the direction vectors u and v:

n = u x v = (-2, 4, -2) x (-3, 3, -1) = (2, 4, 6)

Use the point-normal form of the equation of a plane to find the equation of the plane, using any of the given points, say P:

(x - 2, y - 0, z - 1) · (2, 4, 6) = 0

2(x - 2) + 4y + 6(z - 1) = 0

2x + 4y + 6z = 20

(c)

Find two direction vectors for the plane by taking two different points on the line and subtracting their coordinates:

direction vector 1 = (8, -6, 14) - (3, 1, -2) = (5, -7, 16)

direction vector 2 = (13, -8, 21) - (3, 1, -2) = (10, -9, 23)

Note that these direction vectors are parallel to the plane because they are also parallel to the line contained within it.

Find the normal vector of the plane by taking the cross product of the direction vectors:

n = direction vector 1 x direction vector 2 = (5, -7, 16) x (10, -9, 23) = (101, 135, 65)

Use the point-normal form of the equation of a plane to find the equation of the plane, using the given point P:

(x + 4, y - 3, z) · (101, 135, 65) = 0

101(x + 4) + 135(y - 3) + 65z = 0

101x + 135y + 65z = -14260

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

£1885.71

Step-by-step explanation:

Reducing by 30% is doing this: 100% - 30% = 70% = 0.7

Reducing a price by 30% is the same as multiplying the price by 0.7

Adding 17.5% is doing this: 100% + 17.5% = 117.5% = 1.175

Adding 17.5% to a price is the same as multiplying the price by 1.175

Let the original price be x.

1.175 × 0.7 × x = £1551

x = £1551/(1.175 × 0.7)

x = 1885.71

Answer: £1885.71

The measure of the angles of the triangles are 90° , 67.380° and 22.620°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔPQR

Now , the measure of ∠PQR = 90°

The measure of side PR = 13 cm

The measure of side PQ = 5 cm

The measure of side QR = 12 cm

From the law of sines , we get

a / sin A = b / sin B = c / sin C

Substituting the value sin the equation , we get

12 / sin P = 13 / sin 90°

From the trigonometric relations , sin 90° = 1

So , Multiply by sin P on both sides of the equation , we get

sin P = 12/13

Taking inverse on both sides of the equation , we get

sin⁻¹ ( 12/13 ) = 67.380°

Therefore , the measure of ∠QPR = 67.380°

And , the measure of ∠PRQ = 180 - ( 90° + 67.380° )

The measure of ∠PRQ = 22.620°

Hence , the angles of triangles is solved

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Answer: C

Step-by-step explanation:

Median is the middle number out of the distribution. Cancel out the numbers at each end of the distribution until you get the median number. You will get 42 cm for Cityview and 40 cm for Countryside, thus making C correct.

Step-by-step explanation:

For 3 scoops = 18 cookies

Lets use the unitary method,

So for 1 scoop, how many cookies?

So, 18 /3 = 6

So, 1 scoop = 6 cookies

So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)

So, 4 x 6 = 24

So, 24 cookies can be made if we add 4 scoops of flour

4 scoops = 24 cookies

Answer:

If the canvas cost $6.95, each tube of paint cost $2.25.

Step-by-step explanation:

To find the answer to this question, we must first subtract the cost of the canvas ($6.95) from the overall cost of the canvas and paint ($24.95). We are then left with the cost of 8 tubes of paint ($18.00).

After this, we must divide the cost of 8 tubes of paint ($18.00) by 8 in order to find the cost of one tube of paint. We are left with the cost of an individual tube of paint ($2.25).

To check this math, we can multiply the cost of one tube of paint ($2.25) by 8 ($18.00). Then, we add the cost of the paint ($18.00) to the cost of the canvas ($6.95), which leaves us with the overall cost of $24.95, showing that this answer is correct.

Answer:

$2.25

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Answer:

-0.50

Step-by-step explanation:

4.75  + (-5.25)

Using a number line you can show the sum of points 4.75 and -5.25 is -0.50

1) Starting at 4.75 draw an arrow 5.25 units in the negative direction, arriving at -0.5.

Answer:

\(16y^{4} -256x^{12} =16(y^{4} -16x^{12})\\ 16[(y^{2})^{2}-(4x^{6})^{2} ]\\ =16(y^{2} -4x^{6})(y^{2} +4x^{6}) \\\\=16(y^{2} -(2x^{3})^{2}) (y^{2} +4x^{6}) \\=16(y-2x^{3})(y+2x^{3}) (y^{2} +4x^{6}) \\\)

Step-by-step explanation:

Answer:

16y4 - 625x4 = (4y2 + 25x2)(2y + 5x)(2y-5x)

Step-by-step explanation:

dis right

Answer:

x^4n^4

Step-by-step explanation:

Answer:

\(n^{4} x^{4}\)  

I really hope this helps!

Answer:

Step-by-step explanation:

D