please help and explain please

Answer:

x = 2, HJ = JK = 11

Step-by-step explanation:

Given that H is the midpoint of JK , then

HJ = JK = 6x - 1 and

HJ + JK = JK , that is

6x - 1 + 6x - 1 = 3x + 16 ← simplify left side

12x - 2 = 3x + 16 ( subtract 3x from both sides )

9x - 2 = 16 ( add 2 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Then

HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11

The value of t-score for a 99.8% confidence interval is 3.467 if we take a sample of size 25.

The range of values created around a sample estimate of a population parameter is known as a confidence interval. It is a means to put a number on the level of uncertainty surrounding a sample estimate. Confidence intervals are employed for drawing conclusions about the population from a sample. They are frequently employed in research investigations and data analysis and are a crucial instrument in statistical analysis.

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Solution:

To calculate the t-score, you would need to know the degrees of freedom, which is equal to the sample size minus 1 (in this case, 25 - 1 = 24). You would then look up the t-score in a t-table or use a t-distribution calculator with a confidence level of 99.8% and the appropriate degrees of freedom.

And looking in t-table we found out answer to be 3.467

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(100, 600)

1/6 or 100/600 is the slope. You can find the Y intercept where X = 0, so the Y intercept would be 0. The equation would be Y = 1/6 + 0

Answer: -64 Maybe

Step-by-step explanation:

It look like each term goes up by double of the last term.

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Probability that the vaccine will be developed = \(\frac{99363}{100000}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here,

Team 1 has an 86 % chance of success of developing a new vaccine

Team 1 has 100 - 86 = 14% chance of failure of developing a new vaccine

Team 2 has an 87 % chance of success of developing a new vaccine

Team 2 has 100 - 87 = 13% chance of failure of developing a new vaccine

Team 3 has an 65 % chance of success of developing a new vaccine

Team 3 has 100 - 65 = 35% chance of failure of developing a new vaccine

Probability that the vaccine will not be developed =

                                                                                     \(\frac{14}{100} \times \frac{13}{100}\times \frac{35}{100}\\\frac{637}{100000}\\\)

Probability that the vaccine will be developed =

                                                                            \(1 - \frac{637}{100000}\\\\\frac{100000-637}{100000}\\\\\frac{99363}{100000}\)

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Answer:

x=3

y=11

Step-by-step explanation:

5x + 2y = 37

y = x + 8

5x+2(x+8)=37

5x+2x+16=37

7x=21

x=3

y = (3) + 8

y=11

If  she can make 7 bags in one day, the percent increase in the number of bags Hannah can make is 75%.

To calculate the percent increase in the number of bags Hannah can make, we need to find the difference between the number of bags she can make now and the number she could make before, and then express this difference as a percentage of the original number of bags she could make.

The difference between the number of bags she can make now and the number she could make before is:

7 bags - 4 bags = 3 bags

To express this difference as a percentage of the original number of bags she could make, we can use the following formula:

percent increase = (difference ÷ original value) x 100%

In this case, the original value is 4 bags, so we have:

percent increase = (3 bags ÷ 4 bags) x 100% = 75%

This means that she can now make 75% more bags per day than she could before she got her new sewing machine.

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:33.41

Step-by-step explanation:

Answer:

33.41

Step-by-step explanation:

easiest way to do this is start by adding 21 and 12 which is 33

and the next and final step is to add .41 and 0 which is .41 and then you just add .41 to 33 which is 33.41 which is your answer

21 + 12 = 33

.41 + 0 = .41

33 + .41 = 33.41

hope this helps

x = (11/14) = 10^(log(11/14))

To solve the equation 6x - 6 = 5 - 8x, we can start by simplifying the equation:

6x + 8x = 5 + 6

14x = 11

Next, divide both sides of the equation by 14 to isolate x:

x = 11/14

The exact answer for x is 11/14.

If you want to express this answer using logarithms, you can write it as:

x = (11/14) = exp(ln(11/14))

This representation uses the natural logarithm (base-e) to express the result.

Alternatively, if you prefer to use base-10 logarithm, you can write:

x = (11/14) = 10^(log(11/14))

Both expressions provide the exact answer for x in terms of logarithms, allowing you to evaluate it more precisely if needed.

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Answer:

9 and 15

Step-by-step explanation:

ans should be 9 and 15

i dun really understand what this qns wants u to find really bad qns to test

Answer:

Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.

Area of the social area on the plan is (2A/3) / 4.

Here,

Let the total area of the common space "A".

Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm

So,

One foot on the plan represents 4 cm in real life.

So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3.

Thus the area of the social area on the plan is (2A/3) / 4.

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Answer:

Let the first term be "a" and common difference be "d". Then, the fifth term is 3a.

Quarter of the fifth term is 9, so (1/4) * 3a = 9. Solving for a, we get:

a = 36.The sum of the first 8 terms of an arithmetic progression can be found using the formula:

S_n = n/2 * (2a + (n - 1)d)

where n is the number of terms.In this case, n = 8, so:

S_8 = 8/2 * (2 * 36 + (8 - 1) * d)

= 4 * (72 + 7d)

= 288 + 28dSince the common difference is "d", the sum of the first eight terms is 288 + 28d.

Correct me if I’m wrong

The sum of the first eight terms of the arithmetic progression is 264.

An arithmetic sequence is a set of numbers where each phrase is created by multiplying the previous term by a constant amount (referred to as the common difference). In other terms, an arithmetic sequence is a set of numbers that changes in value from one term to the next by a fixed amount.

Let the first term of the arithmetic progression be represented by 'a', and let the common difference between terms be represented by 'd'.

Then, according to the problem statement, we know that the fifth term is three times the first term, so:

a + 4d = 3a

Simplifying this equation, we get:

2a = 4d

a = 2d

Now we can use the fact that a quarter of the fifth term is 9 to solve for d:

(1/4)(3a) = 9

3a = 36

a = 12

d = a/2 = 6

So the arithmetic progression is: 12, 18, 24, 30, 36, 42, 48, 54

The sum of the first eight terms can be found using the formula:

S₈ = (n/2)(2a + (n-1)d)

where n = 8 is the number of terms.

Plugging in the values we have found, we get:

S₈ = (8/2)(2(12) + (8-1)(6))

S₈ = 4(24 + 42)

S₈ = 4(66)

S₈ = 264

Therefore, the sum of the first eight terms of the arithmetic progression is 264.

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The graph of the absolute value equation y = 2 | x - 2 | + 3 is attached

A graph is pictorial representation of dat the dat is represented in Cartesian coordinate as follows

The given equation is y = 2 | x - 2 | + 3

The input values (x values) are chosen from -2, 0, 2. substituting the x values into the equation gives the y values as follow

for  x = - 2

y = 2 |-2 - 2 | + 3

= 2 | -4| + 3

=-8 + 3      OR      8 + 3

= 5             OR     11

for  x = 0

y = 2 |0 - 2 | + 3

= 2 | -2| + 3

=- 4 + 3      OR      4 + 3

= -1             OR     7

for  x = 2

y = 2 |2 - 2 | + 3

= 2 | 0 | + 3

=-  3    

absolute values yield double output values hence the graph is two straight lines

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Answer:

angle 4 = 56°

Step-by-step explanation:

Interior angles in the same side of the transversal are supplementary (their sum is 180°)

Angle 1 and 4 are interior angles on the same side of the transversal.

So, angle 1 + angle 4 = 180°

Angle 1 = 124° (given)

124 + angle 4 = 180°

angle 4 = 180° - 124° = 56°

Therefore, angle 4 = 56°

Hope it helps :)

Answer:

11/10 or 1.10

Step-by-step explanation:

Adding the numerator with common denominator.

1. Converting 8-bit binary expansion to a decimal expansion: The binary number 1100 0110 can be broken down into 2 binary numbers: 1100 and 0110. Then, each of these binary numbers can be converted to decimal separately, and combined to get the decimal expansion. 1100 = 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 0 × 2^0 = 12, 0110 = 0 × 2^3 + 1 × 2^2 + 1 × 2^1 + 0 × 2^0 = 6.

Therefore, 1100 0110 in binary is equal to 12 + 6 = 18 in decimal. 2. Converting decimal expansion to 8-bit binary expansion: We can use the division-by-2 method to convert decimal to binary. Dividing 109 by 2, we get: 109 ÷ 2 = 54 remainder 1 Then, we divide 54 by 2: 54 ÷ 2 = 27 remainder 0 Continuing with this process, we get the binary number as follows: 109 = 0110 1101.

We need to add 3 leading zeros to make it 8-bit binary number: 0001 1011 Therefore, 109 in decimal is equal to 0001 1011 in 8-bit binary.3. Converting hexadecimal expansion to octal expansion: To convert hexadecimal to octal, we need to convert hexadecimal to binary first, and then binary to octal.

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Answer:

15/2 that is the answer man

To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.

Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.

Assume the shape of the black material is a rectangle.

The area will be calculated as:

\(Area = Length * Width\)

Take for instance;

\(Length = 4yd;\ Width = 5yd\)

\(Area = 4yd * 5yd\)

\(Area = 20yd^2\)

Assume the shape of the black material is a square.

The area will be calculated as:

\(Area =Length^2\)

Take for instance;

\(Length = 4yd\)

\(Area = (4yd)^2\)

\(Area = 16yd^2\)

Assume the shape of the black material is a triangle

The area will be calculated as:

\(Area = 0.5 * Base * Height\)

Take for instance;

\(Base = 4yd;\ Height = 5yd\)

\(Area = 0.5 * 4yd * 5yd\)

\(Area =10yd^2\)

So, in general.

You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.

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To answer this question, we need to remember that if we have the function f(x), the function -f(x) is the reflection of the function f(x) in the x-axis.

Then, the graph of the function g(x) is the same as g(x) = -f(x). Then, we have that:

Then

We can check this graphically as follows (the red graph is the function f(x) = 4|x| and the blue function is g(x) = -4|x|):

Therefore, g(x) = -4|x| is the reflection of the function f(x) = 4|x| over the x-axis.

In summary, the equation that describes g(x) is:

(First option).

Total points scored =126

From the question, we have

The total points scored in a basketball game = 3c + 3.

substituting c = 41,

Total points scored = 3*41+3

=123+3

=126

Total points scored =126

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

Complete question:

The total points scored in a basketball game can be calculated using the expression 3c + 3. If c = 41, how many points total were scored?

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If Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes, then Maria arrived ahead of stipulated time by 14.5 minutes, while Cindy arrived earlier by 38 minutes, determined by solving a linear equation.

As per the question statement, Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes.

We are required to calculate the individual minutes by which, each of Maria and Cindy arrived earlier by.

To solve this question, let us assume that Maria arrived early by "x" minutes, and already given that Cindy arrived 23(1/2) minutes earlier than maria.

Since the total number of minutes that they were early by, was 38 minutes, we can form a linear equation, based on our assumption and the condition provided in the question statement, which goes as,

[{x + 23(1/2)} = 38]

Or, [(x + 23.5) = 38]

Or, [(x +23.5) = 38]

Or, [x = (38 - 23.5)]

Or, [x = 14.5]

That is, Maria arrived ahead of stipulated time by 14.5 minutes.

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Answer:

Y=x^3 the answer is not there

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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Answer:

12.56 < 125.6

Step-by-step explanation:

when 125.6 is subtracted from 12.56 the answer is negative but when 12.56 is subtracted from 125.6 the answer is positive

The given initial value problem is y′′-4y=0. The solution to the initial value problem is y(t)=(3/2)*e^(2t)-(1/2)*e^(-2t).

This is a second-order homogeneous linear differential equation with constant coefficients. The characteristic equation is r^2-4=0, which has roots r=±2. Therefore, the general solution is y(t)=c1e^(2t)+c2e^(-2t), where c1 and c2 are constants determined by the initial conditions.

To find c1 and c2, we need to use the initial conditions. Let's say that y(0)=1 and y'(0)=2. Then, we have:

y(0)=c1+c2=1

y'(0)=2c1-2c2=2

Solving these equations simultaneously gives us c1=3/2 and c2=-1/2. Therefore, the solution to the initial value problem is y(t)=(3/2)*e^(2t)-(1/2)*e^(-2t).

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