Add, subtract, multiply, or divide. Can someone help me please.​

The area of the Heptagon is 32.6

What is Heptagon?

A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,

The heptagon's sides total seven.

What Is Meant by Apothem?

Apothem is a line traced from any polygon's center to one of its sides' midpoints.

The apothem formula, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

Where,

a = apothem length

s = side length

n = number of sides of a polygon.

In the given question,

we have;

s = 7 inches;

a = 3 inches;

n = 7;

So,

The apothem, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

\(a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}\)

so, The area of Heptagon is 7.\(\frac{3.7}{2}\)

The area of the Heptagon is 32.6

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Answer:

A) x = 15

Step-by-step explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15

Answer:

\( \displaystyle A) {15}^{ \circ} \)

Step-by-step explanation:

remember that,

when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said

\( \displaystyle 4x - 30 = 2x\)

cancel 2x from both sides:

\( \displaystyle 2x - 30 = 0\)

add 30° to both sides:

\( \displaystyle 2x = 30\)

divide both sides by 2:

\( \displaystyle x =15\)

hence

our answer is A)

\(x = \frac{1}{2}\) and \(y = - \frac{3}{2} \)

Step-by-step explanation:

\( \frac{2x}{x + y} = \frac{3}{2} \)

\( = > \frac{x + y}{xy} = \frac{4}{3} \)

\( = > \frac{1}{x} + \frac{1}{y} = \frac{4}{3} \)---- Eq. 1

Then,

\( \frac{xy}{2x - y} = - \frac{3}{10} \)

\( = > \frac{2x - y}{xy} = - \frac{10}{3} \)

\( = > - \frac{1}{x} + \frac{2}{y} = - \frac{10}{3} \)-- Eq. 2

Let

\( \frac{1}{x} = u\)and

\( \frac{1}{y} = v\).

Then, from Eq. 1 & 2, we get:

\(u + v = \frac{4}{3}\) and

\( - u + 2v = - \frac{10}{3} \)

\( = > 3u + 3v = 4\)and

\( - 3u + 6v= - 10\)

By adding, we get,

\(9v = - 6\)

\( = > v = \frac{ - 6}{9} \)

\( = > v = - \frac{2}{3} \)

Substituting "y" got above in Eq.1, we get,

\( \frac{1}{x} - \frac{2}{3} = \frac{4}{3} \)

\( = > \frac{1}{x} = \frac{6}{3} = 2\)

\( = > x = 2\)

Hence,

\(x = \frac{1}{2} \)

\( = > y = - \frac{3}{2} \)

The value of x in the given expression is ²/₃ and y is -6.

The given linear equation can be simplified by equating the variables to the equivalent values as shown below;

\(\frac{2xy}{x + y} = \frac{3}{2} \\\\4xy = 3x + 3y\ \ ---(1) \\\\\)

Equation (2) is obtained as follows;

\(\frac{xy}{2x - y} = \frac{-3}{10} \\\\10xy = -6x + 3y \ ---(2)\)

Multiple equation (1) by 2

8xy = 6x + 6y

Add equation (1) and (2) together

8xy = 6x + 6y

10xy = -6x + 6y

---------------------------

18xy = 12y

divide both sides by "y"

18x = 12

x = 12/18

x = ²/₃

Solve for y

8y x (²/₃) = 6(²/₃) + 6y

16y/3 = 12/3 + 6y

Multiply through by 3

16y = 12 + 18y

-2y = 12

y = -6

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Answer:

A and D both have a value of -4

Step-by-step explanation:

A. (-4)  = -4

B. |-4|  = positive value of what is inside = 4

C. |4| = positive value of what is inside = 4

D. -|4| = -positive value of what is inside = -4

Answer:

A. (-4)

D. -|4|

Step-by-step explanation:

Option A

\((-4) = -4\)

Option B

\(\left|-4\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|-a|=a\\=4\)

Option C

\(|4|\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\= 4\)

Option D

\(-|4|\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\=-4\)

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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The largest side of the triangle is 52.

Checking pythagoraus theorem,

Thus, it is not a right angle triangle.

Thus, option (D) is correct.

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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The measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds.

The dynamic error that could result from measuring a 2 Hz periodic waveform using a 1st order system with a time constant of 0.7 seconds can be estimated using the following formula:

Dynamic error = 100% x (1 - exp(-T/τ)),

where T is the period of the input signal, τ is the time constant of the system, and exp(-T/τ) is the system's gain at the input frequency.

Substituting T = 0.5 s (since the period of a 2 Hz waveform is 0.5 seconds) and τ = 0.7 s, we get:

Dynamic error = 100% x (1 - exp(-0.5/0.7)) ≈ 21.6%

This means that the measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds. This error is due to the fact that the system cannot respond fast enough to the rapid changes in the input signal, leading to an output that lags behind the input. The larger the time constant of the system relative to the period of the input signal, the larger the dynamic error will be.

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Let's begin by identifying key information given to us:

Answer:

The answer is 32

Answer:

Binary-yes

Independent-yes

Number of trials- No

Same probability-yes

Step-by-step explanation:

Answer:

Binary?

✔ Yes

Independent?

✔ Yes

Number of trials?

✔ No

Same probability?

✔ Yes

Step-by-step explanation:

Answer:

x + 8 = 13

3x - 2 = 13

The solution set of both equations is {5}.

Step-by-step explanation:

x + 8 = 13

3x - 2 = 13

Answer: (7.5, 4.5)

Step-by-step explanation:

To find the midpoint, we can just find the average of the x values and the y values.

x=(10+5)/2=15/2=7.5

y=(5+4)/2=9/2=4.5

Answer: I believe its B

Please check before ok

hope this helped <3

Answer:

Find the point of intersection of the graphs of the equations.

Step-by-step explanation:

that's the answer

keep on leaning math

The normal equations for least squares approximation are given by \(X^T * X * \beta = X^T * y\), and the Hilbert matrix of size n × n is formed by setting H(i, j) = 1/(i + j - 1), and it arises in various mathematical applications as a test case for evaluating numerical algorithms. Legendre polynomials are orthogonal polynomials used to solve the continuous least squares problem by expanding the function in terms of Legendre polynomials, allowing for an efficient approximation using a finite number of terms.

A. The normal equations for least squares approximation are derived from minimizing the sum of squared residuals in a linear regression problem. The normal equations can be written as follows: X^T * X * β = X^T * y, where X is the design matrix, β is the vector of unknown coefficients, and y is the response vector.

B. The Hilbert matrix of size n × n is a square matrix where the entry at row i and column j is defined as H(i, j) = 1/(i + j - 1). This matrix arises in various mathematical applications, such as interpolation, numerical analysis, and linear algebra. It is often used as a test case for evaluating the stability and accuracy of numerical algorithms due to its ill-conditioned nature.

C. Legendre polynomials are a sequence of orthogonal polynomials that arise in mathematical analysis and approximation theory. They can be used to solve the continuous least squares problem by expanding the function being approximated in terms of Legendre polynomials.

The coefficients of the expansion can be determined by projecting the function onto the orthogonal basis formed by the Legendre polynomials. This allows for an efficient and accurate approximation of a continuous function using a finite number of terms in the Legendre polynomial series. Legendre polynomials have applications in physics, engineering, and numerical methods.

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Answer:

18

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

u dint give me the hight but i guess its around 7 so i might be 70

Answer:

I believe its 4

Step-by-step explanation:

Answer: I'm not to sure about this question its kind of confusing.

Step-by-step explanation:

Answer:

- 4 hope this helps i think its correct

Step-by-step explanation:

(A) In spherical coordinates, (0, -9, 0) is represented as:

(ρ, θ, φ) = (9, π/2, φ).

(B) In spherical coordinates, (-1, 1, -2) is represented as :

(ρ, θ, φ) = (√6, arccos (-2/√6), -π/4).

(a) To change from rectangular to spherical coordinates for the point (0, -9, 0), we first calculate the radial distance, inclination angle, and azimuthal angle. In this case, the radial distance, ρ, is the distance from the origin to the point, which is given by ρ = √(x² + y² + z²) = √(0² + (-9)² + 0²) = 9.

The inclination angle, θ, is the angle between the positive z-axis and the line connecting the origin to the point. Since z = 0, the inclination angle is π/2 (90 degrees). The azimuthal angle, φ, is the angle between the positive x-axis and the projection of the line connecting the origin to the point onto the xy-plane.

Since x = 0, the azimuthal angle can be any value from 0 to 2π. Therefore, in spherical coordinates, (0, -9, 0) is represented as (ρ, θ, φ) = (9, π/2, φ).

(b) For the point (-1, 1, -2), the radial distance, ρ, can be calculated as ρ = √(x² + y² + z²) = √((-1)² + 1² + (-2)²) = √6. The inclination angle, θ, is the angle between the positive z-axis and the line connecting the origin to the point.

Using trigonometry, we can find θ as θ = arccos(z/ρ) = arccos(-2/√6). The azimuthal angle, φ, is the angle between the positive x-axis and the projection of the line connecting the origin to the point onto the xy-plane. Using trigonometry, we can find φ as φ = arctan(y/x) = arctan(1/-1) = -π/4 (since x < 0 and y > 0).

Therefore, in spherical coordinates, (-1, 1, -2) is represented as (ρ, θ, φ) = (√6, arccos(-2/√6), -π/4).

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Answer:

A 17, B 19, C 27

Step-by-step explanation:

A + B = 36

A + B + C = 63

63 - 36 = 27, which is C

C - A = 10

27 - A = 10

A = 17

A + B + C = 63

17 + B + 27 = 63

63 - 44 = 19

The event "is not a high school graduate but is a homeowner" can be represented in symbolic form as follows:

H: The person is a homeowner
G: The person is a high school graduate

∴ ~G ∧ H

This symbolic form represents the statement "not a high school graduate but is a homeowner." The tilde symbol (~) negates the statement that the person is a high school graduate. The conjunction symbol (∧) connects the two statements and indicates that both statements must be true for the entire statement to be true. In this case, it means that the person is not a high school graduate, but they are a homeowner.

The event "is not a high school graduate but is a homeowner" is a logical statement that can be represented in symbolic form. The statement is composed of two individual statements: "the person is not a high school graduate" and "the person is a homeowner." These statements are represented by the symbols G and H, respectively. The conjunction symbol (∧) connects the two statements and indicates that both statements must be true for the entire statement to be true. The negation symbol (~) is used to represent the statement "not a high school graduate." Thus, the symbolic form of the statement is ~G ∧ H.

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Answer:

18 and 14 because 18 + 14 is 32, and 18 - 14 = 4.

Step-by-step explanation:

Hope it helps! =D

Answer:

y = 14, x= 18.

Step-by-step explanation:

let the two numbers be x and y.

sum of the no.s x + y= 32•••••••••(I)

difference. x - y = 4 ••••••••••(ii)

eliminate x by subtracting equation I from ii

x-x+y-(-y) = 32-4

2y= 28

divide both sides by 2

y = 14.

now solve for x by substituting eqn I

x + y = 32

x + 14 = 32

x = 32-14

x = 18

so, the two numbers we can add and subtract to give us 32 and 4 are

18 and 14.

Answer:

f(3) = 13

Step-by-step explanation:

f(x) = 4x+1

f(3) = 4(3) + 1

f(3) = 12 + 1

f(3) = 13

Answer:

trapezoid.

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid = \(\frac{1}{2}\) x (sum of the lengths of the parallel sides) x height

Perimeter =  sum of lengths of sides of a trapezoid

The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

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The required function here is   C(x) =2.2x

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: One bag weighs 2.4 pounds and costs $5.28. Another bag weighs 2.7 pounds and costs $5.94.

One bag weighs 2.4 pounds and costs $5.28.

and therefore 1 pound weighing bag will cost = 5.28/2.4

                                                                             =$2.2

Thus we can construct an equation if there are x pounds then the cost function C(x) =2.2x

Hence, the required function is  C(x) =2.2x

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The standard error of the sample mean is approximately 8.9 pounds.

What is standard error of the sample mean?

Simple division of the standard deviation by the square root of the sample size yields the SEM. By evaluating the sample-to-sample variability of the sample means, standard error determines the accuracy of a sample mean.

To find the standard error of the sample mean, we need to first find the sample mean weight of the students. To do this, we add up the weights of all the students and divide by the number of students:

(128 + 193 + 166 + 147 + 202 + 183 + 181 + 158) / 8 = 171.5

Next, we need to find the variance of the sample. The variance is a measure of the spread of the data around the mean, and is calculated as follows:

       \(variance = ((weight - mean)^2) / (n-1)\)

where weight is the weight of each student, mean is the sample mean weight, and n is the number of students.

Plugging in the values from our data, we get:

variance = (128 - 171.5)^2 + (193 - 171.5)^2 + (166 - 171.5)^2 + (147 - 171.5)^2 + (202 - 171.5)^2 + (183 - 171.5)^2 + (181 - 171.5)^2 + (158 - 171.5)^2 / 7

= 1096.5

Finally, we can find the standard error of the sample mean by taking the square root of the variance and dividing by the square root of the number of students:

                \(standard\ error = \sqrt{(variance / n)} \\\\= \sqrt{1096.5 / 8 )\\\\=8.9\)

So, The standard error of the sample mean is approximately 8.9 pounds.

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