Find the equation of the line through the point (−7,2) and parallel to y=2/5x−1/2

This is an example of systematic sampling, where every nth item is selected for testing throughout the production day.

In this case, every 100th product produced is selected for quality control testing. Systematic sampling is a statistical technique used in survey methodology that involves choosing components from an ordered sampling frame. An equiprobability approach is the most typical type of systematic sampling.

This method treats the list's evolution in a cyclical manner, returning to the top after it has been completed. The sampling process begins by randomly choosing one element from the list, after which every subsequent element in the frame is chosen, where k is the sampling interval (sometimes referred to as the skip).

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The height of wall where the ladder will reach is 17.21 foot according to the angle and length of ladder.

The ladder, wall and ground will form a right angled triangle. Thus, height will be calculated based on the angle. So, sin theta = perpendicular/hypotenuse.

Perpendicular is the wall and hypotenuse is the length of ladder. Now,

sin 73° = perpendicular/18

Perpendicular = 18 × 0.96

Multiply the values on Right Hand Side of the equation

Perpendicular = 17.21 foot

Therefore, the length of the wall is 17.21 foot where ladder will reach.

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Answer: DEb = 26°

Step-by-step explanation:

Given information

CEF = 7x + 21

FEB = 10x - 3

Given expression deducted from the definition of the bisector

FEB = CEF

Substitute values into the expression

10x - 3 = 7x + 21

Subtract 7x on both sides

10x - 3 - 7x = 7x + 21 - 7x

3x - 3 = 21

Add 3 on both sides

3x - 3 + 3 = 21 + 3

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

x = 8

Find the sum of the angle of CEF and FEB

 7x + 21 + 10x - 3

=7 (8) + 21 + 10 (8) - 3

=56 + 21 + 80 - 3

=77 + 80 - 3

=157 - 3

=154

Subtract 154 from the straight angle

DEB = 180 - 154

\(\boxed{DEB = 26}\)

Hope this helps!! :)

Please let me know if you have any questions

When it tells us to write in the simplest terms, that means to combine like terms!

For example,

4x and 2x are like terms

and 9 and 7 are like terms!

---

let's combine them!

(-4x) + (-2x) = -6x

(-9) + (-7) = -16

When we put these two terms together, we get the answer ...

-6x - 16

----

Hope I helped! Comment if you have any questions about my answer!

-Gabby5792

Answer:

y= 77

Step-by-step explanation:

Write down the equation for direct proportion.

y= kx, where k is a constant.

Find the value of k.

When x= 12, y= 84,

84= k(12)

12k= 84

k= 84 ÷12

k= 7

Substitute the value of k into the equation.

y= 7x

When x=11,

y= 7(11)

y= 77

Answer:

4620

Step-by-step explanation:

Answer:

7980

The least common multiple of 380 and 420 is 7980.

Step-by-step explanation:

Hope this helps you!!!!! :D

Answer:

-65,923.01

Step-by-step explanation:

If you didn't mean 2.43 - 344 x 193 = ? than lmk.

Hope this helps and have a nice day!

Answer:

-66389.57

Step-by-step explanation:i used a calculator

Answer:

6/20, 15/50, 9/30, 30/100, 12/40, 18/60....

Step-by-step explanation:

Its just multiplying the fraction by any whole number.

Make sure to do both the numerator and the denominator!

(hope this helps)

To prove that ab|cd, we need to show that cd is divisible by ab.

Since a|c and b|d, there exist integers m and n such that c = am and d = bn. Therefore, cd = abmn. Since mn is an integer, ab|cd, as required. This can also be written as ab is a factor of cd.

To illustrate this, consider the following example:

Let a = 3, b = 4, c = 9, and d = 12. Since 3|9 and 4|12, we want to show that 3 x 4|9 x 12.

Using the formula above, we have that 9 x 12 = 3 x 4 x 3 x 4. Since 3 x 4 is a factor of 9 x 12, we conclude that 3|9, 4|12 and 3 x 4|9 x 12 are true for these particular values of a, b, c, and d.

This result can also be extended to more than two integers. In general, if a₁, a₂, ..., an are integers, where a₁ is non-zero and a₁|a₂, a₁|a₃, ..., a₁|aₙ, then a₁a₂...aₙ | a₁a₂...aₙ.

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The results of the polynomials by factorization are listed below:

Case 1: (a + 3) · (a - 3)

Case 2: (x + a)²

Case 3: (a + 2.236) · (a⁵ + 2.236 · a⁴ + 5 · a³ + 11.179 · a² + 25 · a + 55.893)

Case 4: 4 · (x - 3)²

Case 5: (x + 12) · (x - 11)

In this problem we find five polynomials, in which we must apply factorization, that is, rewrite polynomials in factor form. Now we proceed to factorize each polynomial:

Case 1

a² - 9 = (a + 3) · (a - 3)

Case 2

x² + 2 · a · x + a² = (x + a)²

Case 3

a⁶ + 125 = (a + 2.236) · (a⁵ + 2.236 · a⁴ + 5 · a³ + 11.179 · a² + 25 · a + 55.893)

Case 4

4 · x² - 24 · x + 36 = 4 · (x² - 6 · x + 9) = 4 · (x - 3)²

Case 5

x² + x - 132 = (x + 12) · (x - 11)

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The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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To solve the product, we have to use the distributive property.

The powers with similar bases are solved by just adding their exponents.

To find the area of the reduced map, we need to calculate the area of the original map and then scale it down using the given scale factor of 2/3.

The reduced map will take up approximately 8.75 square inches.

The original map has a length of 21 inches and a width of 15 inches. To find the area of the original map, we multiply the length by the width:

Area of the original map = 21 inches * 15 inches = 315 square inches.

Next, we need to scale down the area using the scale factor of 2/3. To scale down an area, we square the scale factor:

Scaled down area = \((2/3)^2\) * 315 square inches = 4/9 * 315 square inches = 140 square inches/3 ≈ 8.75 square inches.

Therefore, the reduced map will take up approximately 8.75 square inches.

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Answer:

she spent $23.40 on bracelet.

Answer:

She spent $23.40 on the bracelet.

Step-by-step explanation:

Answer:

I believe it does because the top numbers go up 3 times and the bottom goes up 6

Step-by-step explanation:

Answer:

i think it does

x goes up by 3 every time

y goes up by 6 every time

hope this helps and feel free to give brainiest

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Find the total area .

Simple addition :- Add all the area for the solution

\(180 + 180 + 48 + 48 + 48 + 48 + 48 + 96 + 96 + 144 = 936 \: ft {}^{2} \)

Take common and then multiple and then add

\(180 + 180 + 48 + 48 + 48 + \\ 48 + 48 + 96 + 96 \\ taking \: common \: out \: \\ 180(1 + 1) + 48(1 + 1 + 1 + 1 + 1) \\ + 96(1 + 1) + 144 \\ 180(2) + 48(5) + 96(2) + 144 \\ (360 + 240 + 192 + 144)( {ft}^{2} ) \\ 936 {ft}^{2} is \: your \: total \: area\)

For "You measure 10 trials of the time it takes a snail to travel 2 cm. " The  Unit of standard deviation will be cm

This is further explained below.

Generally, The standard deviation is a measurement that is used in statistics to determine the degree of variation or dispersion that exists within a given collection of data.

A standard deviation that is low suggests that the values in the set have a tendency to be near to the mean of the set, while a standard deviation that is large shows that the values are spread out across a range that is more extensive.

In conclusion, You conduct ten separate measurements of the amount of time it takes a snail to go a distance of two centimeters. The centimeter will serve as the unit of standard deviation.

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The P-value is 0.0764 and the conclusion is that Since P > α , reject H0.

From the question above, test statistic of Z = −1.42.

The P-value for a left-tailed hypothesis test is the probability that the test statistic will be less than the observed value of the test statistic.

Since it is left-tailed, we find the area to the left of Z. Using the Z-table, we find the probability associated with the test statistic as follows:

P-value = P(Z < −1.42) = 0.0764 (rounded to four decimal places)

If the level of significance is α = 0.10.

Since P-value (0.0764) is greater than the level of significance α (0.10), we fail to reject H0.

Therefore, the correct answer is:

Since P > α, fail to reject H0.

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Answer:

385836

Step-by-step explanation:

Use a calculator, or do traditional multiplication by carrying over numbers. 8769 plus itself 44 times = 385836

Answer:

385836

Step-by-step explanation:

use calculator

The measure of one of the octagon's sides is 24.14 ft.

The measure of one of the octagon's sides can be found using the formula for the apothem of a regular polygon, which is a = s/2tan(180/n), where a is the apothem, s is the side length, and n is the number of sides. In this case, the apothem is half of the total height, or 5 ft, and the number of sides is 8 since it is an octagon. Plugging these values into the formula gives:

5 = s/2tan(180/8)

Multiplying both sides by 2tan(180/8) gives:

10tan(180/8) = s

Dividing both sides by tan(180/8) gives:

s = 10/tan(180/8)

Using a calculator to find the value of tan(180/8) gives:

s = 10/0.4142

Finally, dividing both sides by 0.4142 gives:

s = 24.14 ft

Therefore, the measure of one of the octagon's sides is 24.14 ft.

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A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.

There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.

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The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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A rectangular array of characters, numbers, or phrases arranged in rows and columns is known as a matrix. It is a fundamental mathematical idea that is applied in many disciplines, such as physics, mathematics, statistics, and linear algebra.

To solve the system of equations:

r + 5s = 7 ...(1)

-2r - 7s = -5 ...(2)

We can use the method of elimination or substitution. Let's use the method of elimination:

Multiply equation (1) by 2:

2r + 10s = 14 ...(3)

Now, add equation (2) and equation (3) together:

(-2r - 7s) + (2r + 10s) = -5 + 14

3s = 9

s = 9/3

s = 3

Therefore, the value of s is 3.

Answer: b) 3

Regarding the matrices:

i) 20 11

7 -5

ii) 13 -5

-1 2

iii) 0 0

2 -1

iv) 0 0

-1 0

To determine if a matrix is orthogonal, we need to check if its transpose is equal to its inverse.

i) The transpose of the first matrix is:

20 7

11 -5

The inverse of the first matrix does not exist, so it is not orthogonal.

ii) The transpose of the second matrix is:

13 -1

-5 2

The inverse of the second matrix does not exist, so it is not orthogonal.

iii) The transpose of the third matrix is:

0 2

0 -1

The inverse of the third matrix is also:

0 2

0 -1

Since the transpose is equal to its inverse, the third matrix is orthogonal.

iv) The transpose of the fourth matrix is:

0 -1

0 0

The inverse of the fourth matrix does not exist, so it is not orthogonal.

Therefore, the only matrix among the options that is orthogonal is:

iii) 0 2

0 -1

Answer: iii) 0 2

0 -1

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To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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In the diagram given

When you take a look at the first image, you will see that

Throughot the graph, the distance increases as the time increases, and we can see a rapid in the distance

So the first graph matches with table B

As for the second graph, when you take a look at it

you will see that the distance increases with time initially, but after a while the distance decreases with time

so table A best descibe the second graph

Hence the second graph matches with table A

Finally, the third graph, taking a closer look at the third graph, you will see that the distance also increases with time, but not a rapid increase

so the table C best discribe the third graph

Hence the third graph matches table C

Answer:

\(81 {d}^{4} {e}^{7} \)

Step-by-step explanation:

Use properties of degrees:

1. When multiplying different degrees on one term, the degree indicators must be multiplied, for example:

\(( { {x}^{2}) }^{3} = {x}^{2 \times 3} = {x}^{6} \)

2. When dividing like terms (with the same base) with different degrees, the degree indicators must be subtracted, for example:

\( \frac{ {x}^{5} }{ {x}^{2} } = {x}^{5 - 2} = {x}^{3} \)

3. When squaring a negative term in parentheses, the minus is eliminated, for example:

\(( { - 3x})^{2} = 9 {x}^{2} \)

.

\( \frac{ {(( { - 3d})^{2} \times {e}^{4} )}^{3} }{ {9d}^{2} \times {e}^{5} } = \frac{729 {d}^{6} \times {e}^{12} }{9 {d}^{2} \times {e}^{5} } = 81 {d}^{4} \times {e}^{7} \)

The statement when a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed is True.

Appeal occur when a person convicted of a crime want another court to reverse a decisions or to examine and re-check the judgement or outcome of a trial court outcome because the convicted person was not satisfied with the outcome or the result  of the trial court .

Hence, the statement is true because an offender  that was convicted of a crime can tend to files an  appeal with a higher court or appellate court so as to examine the trial court's decisions.

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Answer:

its 90

Step-by-step explanation:

beacuse it is

Answer:

Step-by-step explanation:

Area of sphere is:

\(4\pi r^2\)

So, we would have:

\(4\pi12^2=4\pi144=452.16\cdot4=\boxed{1808.64}\)

Hope this helps.