I need help i will give the brainliest!

Answer:

Option 2

Step-by-step explanation:

the function is

\(y = 2x\)

so it's a linear function and a constant rate change

Answer:

i think its  the 2nd  

Step-by-step explanation:

Answer:

150 is the number

Step-by-step explanation:

The equation we should set up is from the sentence "14% of what number is 21"
To rearrange it into a proper equation, replace "of what number" with " * x "
and "is" with "="
The sentence becomes:

14% * x = 21

since 14% = 0.14, replace 14% with 0.14 in the equation

0.14 * x = 21

divide both sides by 0.14

x = 21 / 0.14

x =  150

Answer:

The area of the sheet is approximately 50.59 m² or 50.6 m²

Step-by-step explanation:

The area of a rectangle is given by the following expression:

\(area = width*height\)

Since breadth is the same as the width of the sheet, we can calculate its area as shown below:

\(area = 9.96*5.08 = 50.59\)

The area of the sheet is approximately 50.59 m² or 50.6 m²

No. We cannot always use synthetic divison to divide polynomials.

Synthetic division can only be used to divide polynomials if the degree of the denominator is  equal to one.

Synthetic division is only used for a linear factor of the denominator.

When the degree of the denominator is greater than one, we can use long division.

So, we cannot always use synthetic division for dividing polynomials

Therefore, no. We cannot always use synthetic divison to divide polynomials.

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Answer:

7.2

Step-by-step explanation:

16.76 = 16.8

9.611 = 9.6

16.8 - 9.6 = 7.2

Answer:

2 1/5 acres

Step-by-step explanation:

I'm guessing you want to find the area of an equally sized section. If so, you can divide the total of 8 4/5 by 4.

Convert to an improper fraction. 8*5 = 40+4= 44/5

Dividing is the same as multiplying by the reciprocal.

44/5 * 1/4 = 44/20

or 2 4/20 -> 2 1/5 acres

Answer:

linear

Step-by-step explanation:

Where is the picture for this problem???

Answer:

Camille's is linear

Step-by-step explanation:

The weight for Camille's puppy increases in a constant rate(the puppy gains .5 pound per week, every week).

Amit's puppy is non-linear. Observe the table

X 1  2   3   4   5    6    7    8     9   10

Y 4  6  8  12  16  20  22  24  28  32

weeks start out with constant + 2 changes, then at week 3-4 the puppy gains a +4 (no longer linear - your line is no longer straight)

Olivia's puppy is linear

The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

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Answer:

66.4°

Step-by-step explanation:

From the question given above, the following data were obtained:

Adjacent = 6 cm

Hypothenus = 15 cm

Angle Y =?

Angle Y can be obtained by using the cosine ratio as illustrated below:

Cos Y = Adjacent / Hypothenus

Cos Y = 6/15

Cos Y = 0.4

Take the inverse of Cos

Y = Cos¯¹ 0.4

Y = 66.4°

Therefore, angle XYZ is 66.4°

To evaluate the integral, you will need to define the limits of integration and use appropriate coordinate systems for the given area.

And the area is given as   \(I_{xy} =\int \limits \int \limits {(y^2 - x^2)} \,dm\)

What is direct integration?

Direct integration is a method of finding the moment of inertia of a body or a region about a given axis by directly integrating the product of the mass of each infinitesimal element of the body or region and the square of its distance from the axis.

To determine the product of inertia of a given area with respect to the x and y axes, you will need to first define the area and its mass distribution. Then, you can use the following formula for the product of inertia:

\(I_{xy} =\int \limits \int \limits {(y^2 - x^2)} \,dm\)

Where Ixy is the product of inertia, y is the distance from the y-axis, x is the distance from the x-axis, and dm is the mass of an infinitesimal element of the area.

Hence, To evaluate this integral, you will need to define the limits of integration and use appropriate coordinate systems for the given area.

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Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

Step-by-step explanation:

Given:

To find:

Use long division:

2x + 1  | (8x³ + 16x² − 15

           | 8x³ + 4x²

                     12x² + 0x - 15

                     12x² + 6x

                               -6x - 15

                               -6x - 3

                                      -12

4x² + 6x - 3 remainder -12

\(\sf \dfrac{f(x)}{g(x)}\)

\(\\ \rm\longmapsto \dfrac{8x^2+16x^2-15}{2x+1}\)

Refer to attachment now

A system of inequalities that can be used to model the scenario is d + a ≤ 300 and 10d ≥ 1,200.

A system of inequalities is two or more inequalities that must be proved simultaneously.

A system of inequalities contains at least two linear inequalities in the same variables.

Systems of inequalities are applied when there are a range of solutions and more than one constraint.

Inequalities may include greater than, less than, not equal to, equal to but less than, and equal to but greater than.

The total capacity of people the auditorium can hold = 300

The cost per ticket at the door = $10

The cost per ticket in advance = $7.50

Tickets cannot exceed 300

Door tickets must generate at least $1,200

Let the number of tickets sold at the door = d

Let the number of tickets sold in advance = a

10d + 7.5a ≤ 300

10d ≥ 1,200

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Answer:

Step-by-step explanation:

a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.

b.12500x5%=625

a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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When the expression 6y - 7, is evaluated with y = 3 and y = -3, then the values are not same. Thus option 2: False is correct.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - 6y - 7

Firstly substitute the value of y = 3 in the expression -

6y - 7

Use the arithmetic operation of multiplication -

6(3) - 7

Use the arithmetic operation of subtraction -

18 - 7

11

Now, substitute the value of y = -3 in the expression -

6y - 7

Use the arithmetic operation of multiplication -

6(-3) - 7

Use the arithmetic operation of subtraction -

-18 - 7

-25

Therefore, the values are not same for y = 3 and  y = -3.

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Answer:

150 degrees

Step-by-step explanation:

Answer:

You need 180 degrees for a triangle so, you subtract 150 from 180.

You get 30 degrees.

Then, you subtract 30 from 180 in order to find the degree of x.

The number for x is: 150 degrees

I hope this helps ! :)

Step-by-step explanation:

Answer:

5 ft melinda

Step-by-step explanation:

5 inches is like the length of your hand

Answer:

Melinda

Step-by-step explanation:

If the fort was 5 inches high, it would have been super tiny.

5 feet high makes the most sense.

The two rays with the same endpoint in the figure below are AB and BC. Although they share a common endpoint (B), they do not form an angle since they are collinear and lie on the same line. Two non-collinear rays that share an endpoint create an angle. In this case, AB and BC lie on line AC and do not form an angle.

An angle is formed by two rays that originate from a common endpoint. In the given figure, AB and BC share the same endpoint (B), but they do not form an angle since they lie on the same line. A line is an infinite set of points that extends in both directions, while a ray is a portion of a line that starts at a particular point and extends infinitely in one direction. When two rays share a common endpoint, they form an angle only if they are not collinear, i.e., they do not lie on the same line. In this case, since AB and BC lie on line AC, they do not form an angle. Therefore, AB and BC are collinear and do not form an angle.

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So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

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Answer:

The answer is y = -1/3

Step-by-step explanation:

Hope this helps

Answer:

1:4

Step-by-step explanation:

Answer:

500m : 250cm can simplify to;

2m : 1cm

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

$9,600 is what he'll earn in all but the interest that he will earn is $5600

Step-by-step explanation:

To find out the interest earned in all you multiply 4000 times .4 times 6 which is 9600 so if you want to figure out the interest paid it is 9600 - 4000 which is 5600

We have to plot the points first.

As you can observe in the image, vertex S should be (-5,5) in order to form a square.

The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

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Answer:

d po

Step-by-step explanation:

sna maka tulong hheeheh

In the cube shown the planes which intersect are GJK and IJM.

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Planes of Symmetry of a Cube

The symmetry plane cuts the surface of the cube in a square of side s. Each of the planes intersects 4 square faces. It intersects each face along a line of symmetry of the face that connects midpoints of opposite edges. Such a plane contains none of the vertices of the cube.

Given that in figure a cube in which planes intersect.

Planes of Symmetry of a Cube

The symmetry plane cuts the surface of the cube in a square of sides. It intersects each face along a line of symmetry of the face that connects midpoints of opposite edges.

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