Which expression can be used to show a set of twenty books divided into four groups?

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer:

\(v = 2064.2 {cm}^{3} \)

Step-by-step explanation:

we first consider the formula for the volume of a sphere

\(v = \frac{4}{3} \pi {r}^{3} \)

we were given diameter of 15.7cm.

we can find the radius by dividing the diameter by 2

because two times a radius makes a diameter.

\( \frac{15.7}{2} = 7.9cm\)

we have the radius as 7.9cm.

and we know pi (π) to be 3.14 or 22/7.

but in this case, we use 3.14.

now let's substitute the values in the formula

\(v = \frac{4}{3} \times 3.14 \times {7.9}^{3} \)

and we will get

\(v = 2064.19 {cm}^{3} \)

but the nearest 10th will be

\(v = 2064.2 {cm}^{3} \)

Answer: is 2026.3 cm ^3

Step-by-step explanation:

The area of the sector of a circle  is 28π square miles

The area of a sector of a circle is equal to the area of the circle multiplied by the ratio of the central angle to the full circumference. Therefore, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to the area of the circle multiplied by the ratio of 2.8 radians to 2π radians (or the circumference of the circle). This means that the area of the sector is equal to 6^2π * 2.8/2π = 28π square miles. In other words, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles. To visualize this, imagine a pizza slice with a radius of 6 miles. The area of the pizza slice is equal to 28π square miles. The area of the sector is the same as the area of the pizza slice. Therefore, the area of the sector of a circle with radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles.

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Answer:

The answer would be C. An obtuse equilateral triangle :)

Answer:60%

R80-R50=R30

R30/R50*100%=60%

Step-by-step explanation:

Answer:

It would be B

Answer:

Maybe 34cm

Sana makatulong..

Answer:

7420

Step-by-step explanation:

7000 times 1.06 is 6% interest for 3 years

Answer is 392yd  squared

Answer:

he is right if u need further explonation it is b and c

Step-by-step explanation:

The inequality is given as –5h + 20 > –10. And the solution of the inequity will be h < 6.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The weather report says the temperature is 20 °C and will drop 5 °C per hour for the next 6 hours. Daryl plans to be gone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above –10 °C.

Let h be the number of hours.

The inequality is given as,

–5h + 20 > –10

And the solution of the inequity will be

–5h > –30

 5h < 30

   h < 6

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Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

A vertical asymptote is a line on the x-axis where the graph of a function approaches infinitely close but does not actually reach. In this case, the vertical asymptote is x = 4.
In exploration 4.3.3, the vertical asymptote for question 2 is at x = -2. Let's see what is meant by a vertical asymptote.What is a vertical asymptote?A vertical asymptote is a line that a function approaches but never touches.

The curve gets arbitrarily close to the vertical line but never touches it. When the function approaches a vertical asymptote, the function approaches infinity or negative infinity.For instance, consider the function f(x) = 1/x. It has a vertical asymptote at x = 0. This is because the function's value becomes increasingly larger as x approaches 0 from the positive side, and the value of the function becomes increasingly smaller as x approaches 0 from the negative side.Therefore, if a curve goes on increasing or decreasing on both sides of a vertical line (called a vertical asymptote), the curve approaches that line but never touches it. This is the basic idea of a vertical asymptote.What is the vertical asymptote for question 2?The rational function f(x) = (x + 2) / [(x + 2)^2 - 4] is being studied in question 2 of exploration 4.3.3. It can be seen that (x + 2)^2 - 4 = (x + 2 - 2)(x + 2 + 2) = (x)(x + 4).Therefore, the denominator (x + 2)^2 - 4 can be written as (x)(x + 4).The vertical asymptotes of a rational function occur where the denominator equals zero. Since the denominator is (x)(x + 4), the vertical asymptotes occur where x = 0 or x = -4.However, x = 0 is not a vertical asymptote because there is a hole in the graph. So, the only vertical asymptote is at x = -2. This means that the curve approaches x = -2 but never touches it. Therefore, the vertical asymptote for question 2 in exploration 4.3.3 is x = -2.

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Answer:

99.47

Step-by-step explanation:

86.50/15 =

+86.50 =

99.47

The solution to the equation x² + 5x = 0 is x = 0 or x = -5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 5x = 0   be equation (1)

Now , on simplifying the equation , we get

On factorizing the equation , we get

Taking the common factor x ,

x ( x + 5 ) = 0

Now , x can take 2 values which will satisfy the given equation

when x = 0 or ( x + 5 ) = 0

when x = 0

Substitute the value of x in the equation , we get

0 ( 0 + 5 ) = 0

0 = 0

The equation is true when x = 0

And ,

when ( x + 5 ) = 0

Subtracting 5 on both sides of the equation , we get

x = -5

when x = -5

-5 ( -5 + 5 ) = 0

-5 x 0 = 0

0 = 0

The equation is true when x = -5

Hence , the solution is 0 , -5

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-15+11=-4 so Maggie has -4 in her account

Answer:

40

Step-by-step explanation:

8 x 5 = 40

ANSWER: symmetric property

hope it helps thanks

brainliest pls

Answer: The answer is Symmetric Property

Answer:

A history

Step-by-step explanation:

(a) The matrix A=[2 -2; -1 1; 0 5] is invertible if a ≠ 3. This is because for a matrix to be invertible, its determinant must be non-zero. The determinant of matrix A is given by det(A) = (2 * 1) - (-2 * (-1)) = 2 - 2 = 0. Therefore, the matrix A is not invertible when the determinant is zero, which occurs when a = 3. Hence, the correct answer is (a) a ≠ 3.

(b) If A is a 4×4 matrix and det(A) = 2, then det(3A) is equal to 162. The determinant of a scalar multiple of a matrix can be obtained by raising the determinant of the original matrix to the power of the scalar. In this case, det(3A) = (3^4) * det(A) = 81 * 2 = 162. Therefore, the correct answer is (b) 162.

To understand the explanation for each question, let's go through them one by one:

For a matrix to be invertible, its determinant must be non-zero. In matrix A, the determinant is given by det(A) = (2 * 1) - (-2 * (-1)) = 2 - 2 = 0. Therefore, the matrix A is not invertible when the determinant is zero, which occurs when a = 3. Hence, the correct answer is (a) a ≠ 3.

If A is a 4×4 matrix and det(A) = 2, then det(3A) is equal to 162. The determinant of a scalar multiple of a matrix can be obtained by raising the determinant of the original matrix to the power of the scalar. In this case, det(3A) = (3^4) * det(A) = 81 * 2 = 162. Therefore, the correct answer is (b) 162.

The statement (a) M^2 - N^2 = (M + N)(M - N) is not true in general. Matrix multiplication is not commutative, so squaring two matrices and subtracting them is not equivalent to multiplying the sum and difference of the matrices. Therefore, option (a) is false.

The statement (b) MT + NT = (M + N)T is true. The transpose of the sum of two matrices is equal to the sum of their transposes. Therefore, (MT + NT) = (M + N)T. Hence, option (b) is true.

In summary, the correct answer is (b) MT + NT = (M + N)T.

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Because of the length of triangle 1, it would be at the bottom.

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The volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis is -16π/15.

The given curve is y = 1 - (x - 5)². Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis.

The equation of the given curve is y = 1 - (x - 5)².

The graph of the curve will be as shown below:

Find the points of intersection of the curve with the y-axis:

When x = 0, y = 1 - (0 - 5)² = -24

When y = 0, 0 = 1 - (x - 5)²(x - 5)² = 1x - 5 = ±1x = 5 ± 1

When x = 4, y = 1 - (4 - 5)² = 0

When x = 6, y = 1 - (6 - 5)² = 0

The limits of integration are 4 and 6.

Volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis is given by:

V = ∫\(a^b \pi y^2\) dx

Where a and b are the limits of integration.

The solid is rotated about the y-axis, hence the method of disks is used to find the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis.

Let the radius of the disk be y, and thickness be dx, then the volume of the disk is given by:

dV = πy² dx

The limits of integration are 4 and 6.

Volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis is given by:

V = ∫\(a^b \pi y^2\) dx

= ∫\(4^6\) π(1 - (x - 5)²)² dx

= π ∫\(4^6\) (1 - (x - 5)²)² dx

= π ∫\(-1^1\) (1 - u²)² du[where u = x - 5]

=-2π ∫\(0^1\) (1 - u²)² du[using the property of definite integrals for even functions]

= -2π ∫\(0^1\) (1 - 2u² + u⁴) du

= -2π [u - 2u³/3 + u⁵/5]0¹

= -2π [(1 - 2/3 + 1/5)]

= -2π [8/15]

= -16π/15

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Answer:

x=10

Step-by-step explanation:

just use ur brain

The equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

What is Equation in Spherical Coordinates?

A mathematical equation that is represented in terms of the spherical coordinates of a point is known as an equation in spherical coordinates. A three-dimensional coordinate system known as spherical coordinates makes use of two angles, typically represented by symbols and a radial distance (r), and a coordinate system to find points in space.

\($r^2 = 81$\)

To represent the equation in spherical coordinates, we substitute the Cartesian coordinates \($x = r\sin(\phi)\cos(\theta)$, $y = r\sin(\phi)\sin(\theta)$, and $z = r\cos(\phi)$\) into the equation. After substitution and simplification, we have:

\($r^2\sin^2(\phi)\cos^2(\theta) + r^2\sin^2(\phi)\sin^2(\theta) + r^2\cos^2(\phi) = 81$\)

Since \(r^2 = 81,\) we can substitute it into the equation:

\($81\sin^2(\phi)\cos^2(\theta) + 81\sin^2(\phi)\sin^2(\theta) + 81\cos^2(\phi) = 81$\)

Finally, we divide the equation by 81 to simplify:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

So, the equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

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Answer:

43/36 or 1 7/36

Step-by-step explanation:

Answer:

the base is 2 and the height is 4 or swapped

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 11-gon has 11 vertices and 11 sides.

From a common vertex we can have 11 - 2 - 1 = 8 diagonals.

We considered 2 + 1 = 3 vertices already used as one- vertex itself and two- the vertices it already connected.

The number of possible triangles is the number of diagonals plus one:

88 triangles can be formed from an 11-gon using diagonals from a common vertex.

What is the diagonal?

A diagonal is a line segment connecting two non-adjacent vertices in a polygon, typically a quadrilateral. It can also refer to a line segment connecting two opposite corners in a two-dimensional figure, such as a rectangle or parallelogram.

An 11-gon has 11 vertices. From a single vertex, we can draw 8 diagonals to the other vertices of the polygon. Each diagonal connects this vertex to a non-adjacent vertex.

Using a single diagonal, we can form a triangle with the vertex and two non-adjacent vertices connected by the diagonal. Thus, there are 8 triangles that can be formed from a single vertex using a diagonal.

Since there are 11 vertices, we can choose any one of them as the common vertex, giving us a total of 11 choices. Therefore, the total number of triangles that can be formed from an 11-gon using diagonals from a common vertex is:

8 triangles/vertex × 11 vertices = 88 triangles.

Hence, 88 triangles can be formed from an 11-gon using diagonals from a common vertex.

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Answer:

what are the options

Step-by-step explanation:

geologic features can occur anywhere on earth, these features are formed by the movements of earth's plates.