Complete the ratio tables?

The coordinates of the midpoint of EF is equal to \((\frac{xE +xF}{2} , \frac{yE + yF}{2} )\)

What is coordinates ?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such Euclidean space, uniquely using one or more numbers, or coordinates.

Any one of a group of integers that are used to define where a point is on a surface, on a line, or in space. coordinates in terms of latitude and longitude.

The formula to calculate the midpoint between two points is equal to

\(M = (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2} )\)

In this problem we have

(x1 , y1) = (xE , yE)

(x2 , y2) = (xF , yF)

Substitute the value in the formula

we get ;

\(M = (\frac{xE +xF}{2} , \frac{yE + yF}{2} )\)

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Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

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Solution:-

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\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

The output voltage vout(t) depends on the circuit used to process the input voltage. Without information about the circuit, we cannot determine vout(t).

The input voltage vs(t) = 5 cos(10,000t 20◦) is a sinusoidal signal with an amplitude of 5 volts, a frequency of 10 kHz, and a phase angle of 20 degrees. To determine the output voltage vout(t), we need to know the circuit used to process the input voltage. For example, if the circuit is a simple voltage divider, the output voltage would be vout(t) = vs(t) * R2 / (R1 + R2), where R1 and R2 are the resistances in the voltage divider. If the circuit is a high-pass filter, the output voltage would be vout(t) = vs(t) * (1 - 1/(1 + j2pifR*C)), where f is the frequency of the input signal and R and C are the resistance and capacitance values of the filter. Without information about the circuit, we cannot determine vout(t). Therefore, it's important to know the circuit used to process the input voltage in order to calculate the output voltage accurately.Therefore, the characteristic equation of the matrix is λ^2 + λ - 7 = 0, and the eigenvalues are given by the quadratic formula:

λ = (-b ± √(b^2 - 4ac)) / 2a

Substituting the coefficients a=1, b=1, and c=-7, we get:

λ = (-1 ± √29)/2

To find the eigenvectors and corresponding eigenspaces, we need to solve the equation (A - λI)x = 0, where x is the eigenvector corresponding to the eigenvalue λ. For λ = (-1 + √29)/2, we get:

(A - λI)x = |2.56 -1 2| |x1| = 0

|3 1.56 1|

|-2 -2 -1.56|

Solving the system of equations, we get x = (1, -1.46, -1.09) as a basis for the eigenspace corresponding to λ = (-1 + √29)/2.

Similarly, for λ = (-1 - √29)/2, we get:

(A - λI)x = |-4.56 -1 2| |x1| = 0

|3 -4.56 1|

|-2 -2 -2.44|

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Answer:

Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.  

The dimensions of the rectangle are 8cm by 16cm

Remember that for a rectangle of length L and width W, the perimeter is.

P = 2*(L + W)

Here we know that:

L = 2*W

And that the perimeter is 48cm, so:

48cm = 2*(L + W)

So we have a system of equations:

L = 2*W

48cm = 2*(L + W)

Replacing the first equation in the second one, we will get:

48 cm = 2*(2W + W)

48cm = 6W

48cm/6 = W

8cm = W

And the length is:

L = 2W = 2*8cm = 16cm

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The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

534

Step-by-step explanation:

x+(x-2)+(x+x-2)-4=12

Answer:

(x - 4)² - 9 = 0

Step-by-step explanation:

x² - 8x + 7 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 7 = 0

(x - 4)² - 9 = 0

Remove the brackets.

Take the like terms closer.

Now do the addition and subtraction

Let us split the middle term

Now take x as common from the first two terms and -1 from the next two terms.

Answer:

(x - 1)(7x + 12)

Hope you could understand.

If you have any query, feel free to ask.

Solve (6x² + 5x - 3) + (x² - 9)

(x-1) (7x+12)

please look at the attached picture :)

Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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Answer:

specifie your questino please!

Step-by-step explanation:

this si all i can tell u

There are six common trigonometric ratios that relate the sides of a right triangle to the angles within the triangle. The three standard ratios are the sine, cosine and tangent. These are often abbreviated sin, cos and tan. The other three (cosecant, secant and cotangent) are the reciprocals of the sine, cosine and tangent and are often abbreviated csc, sec, and cot.

Answers to both subparts are shown:

(A) Only 1 prime number is in the multiples of 5 which is number 5 itself.

(B) No prime numbers are in the multiples of 8.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number.

A composite number is a natural number greater than one that is not prime.

For instance, the number 5 is prime because there are only two ways to write it as a product, 1 × 5 and 5 × 1.

(A) Prime numbers that are multiples of 5:

All numbers that come in the table of 5 are multiples of 5.

Only the number 5 is the number that comes in the table of 5 is a prime number.

As 5 is only divisible by 1 and 5 itself.

(B) Prime numbers that are multiples of 8:

All numbers that come in the table of 8 are multiples of 8.

No number that comes in the table of 8 is a prime number.

As all the numbers are divided by also as 8 is an even number.

Therefore, answers to both subparts are shown:

(A) Only 1 prime number is in the multiples of 5 which is number 5 itself.

(B) No prime numbers are in the multiples of 8.

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Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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A point estimate is a single approxmate value of some parameters.

A point estimate for difference in average means is the difference between the sample means .

Point estimator :

In statistics, point estimation uses sample data to compute a single value, called a point estimate, to identify a point in a given parameter space.

Estimator Properties:

Point Estimate of Difference in Average Sales:

Point Estimate of Population Mean The calculation is the sum of all samples divided by the number of values .

Suppose we want to compare the means of two different populations . Each population has a mean and a standard deviation. Take a random sample from Population1 and label the resulting sample statistic with Index1 . Draw a sample from population2 and label its sample statistic with index 2, without reference to the first sample.

It is denoted by " μ1-μ2 " .

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The null and alternative hypotheses for the given scenario is :

h₀ = 0.39

ha > 0.39

Given, a newsletter r publisher believes that more than 39% of their readers own a laptop.

let the proportion of readers owning a laptop be denoted by p.

We want to test the claim that more than 39% of the readers own a laptop.

Hence, we frame:

Null hypothesis is H₀: p = 0.39

Alternative hypothesis is H₁: p > 0.39

Hence there is no sufficient evidence at the 0.05 level.

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The standard deviation of the given quiz scores is approximately 16.537.

To compute the standard deviation of the quiz scores, we can follow these steps:

Calculate the mean (average) of the scores.

Calculate the squared difference between each score and the mean.

Calculate the average of the squared differences.

Take the square root of the average of the squared differences to get the standard deviation.

Let's calculate it:

Calculate the mean:

Sum of scores = 50 + 12 + 38 + 25 + 16 + 48 + 58 = 247

Mean = Sum of scores / Number of scores = 247 / 7

= 35.286 (rounded to three decimal places)

Calculate the squared difference between each score and the mean:

For each score, subtract the mean and square the result:

(50 - 35.286)^2 = 213.672996

(12 - 35.286)^2 = 540.421796

(38 - 35.286)^2 = 7.426796

(25 - 35.286)^2 = 106.796996

(16 - 35.286)^2 = 372.739996

(48 - 35.286)^2 = 161.828996

(58 - 35.286)^2 = 512.968996

Calculate the average of the squared differences:

Sum of squared differences = 213.672996 + 540.421796 + 7.426796 + 106.796996 + 372.739996 + 161.828996 + 512.968996 = 1915.855572

Average = Sum of squared differences / Number of scores

= 1915.855572 / 7

= 273.693653 (rounded to six decimal places)

Take the square root of the average of the squared differences:

Standard deviation = √(Average)

= √(273.693653)

≈ 16.537 (rounded to three decimal places)

Therefore, the standard deviation of the given quiz scores is approximately 16.537.

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To write the following mathematical equation in the required format for programming\(\[a{x^2}+bx+c=2\]\)

let us begin by reviewing the standard format of the quadratic formula:\(\[ax^{2}+bx+c=0.\]\)

Therefore, to write the given quadratic equation into the required format for programming we should subtract 2 from both sides so that the quadratic equation is in the standard format.\(\[ a x^{2}+b x+c-2=0 \]\)

Therefore, the required format for programming is \(\[ a x^{2}+b x+c-2=0 \].\)

To write the mathematical equation \(\[ a x^{2}+b x+c=2 \]\) in the required format for programming, you would typically use a specific programming language syntax. Here's an example using Python:

```python

a = 1

b = 2

c = -3

x = # provide a value for x

result = a * x**2 + b * x + c - 2

```

In this example, the coefficients `a`, `b`, and `c` are assigned specific values. You would need to assign appropriate values based on your equation. Then, you can provide a value for the variable `x`. Finally, the equation is evaluated and the result is stored in the variable `result`.

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Answer:

28x+20

Step-by-step explanation:

2.5(10x+8)=25x+20=25x+20+3x=28x+20

9,603.75 cm² is the area of the given triangle.

So, the perimeter of the triangle is 392 cm.

Then, let the rest 2 sides be x, where x = x.

Now, we know that the rest 2 equal sides are of length 98.5 cm.

Now, calculate the area as follows:

Therefore, 9,603.75 cm² is the area of the given triangle.

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Answer:

31.4

Step-by-step explanation:

x=18/sin35

x= 31.38

=31.4(nearest tenth )

The equation for the graph in the interval is y = 3/2x - 1/2

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(-1, -2) and (3, 4)

The equation of the line is calculated as

y = mx + c

Where

c = y when x = 0

Using the points, we have

-m + c = -2

3m + c = 4

Subtract the equations

-4m = -6

So, we have

m = 3/2

This means that

y = 3/2x +c

Next, we have

3/2 * 3 + c = 4

This gives

c = -1/2

Hence, the equation of the line is y = 3/2x - 1/2

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Based on the fact that this is an equilateral triangle, the value of y can be found to be 5.

The figure given is an equilateral triangle which means that the lengths of all the sides are equal.

As DC is equal to 20, it means that all the other sides should be 20 as well.

This means that the value of y is:

20 = 15 + y

y = 20 - 15

y = 5

In conclusion, y is 5.

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Answer:

$2=1

Step-by-step explanation:

6 =$3

Answer:

75,000,012

Step-by-step explanation:

enjoy, i guess

The probability of the given security code is as follows:

C. 1/30,240.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

5 digits are taken from a set of 10, and the order is relevant, hence the total number of passwords is given as follows:

P(10,5) = 10!/(10 - 5)! = 30240.

Hence the probability is given as follows:

C. 1/30,240.

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Answer:

x = 1187.96

Step-by-step explanation:

Let x = price before tax

tax = x* 7.6%

tax = .076x

The cost of the computer is price before tax plus tax

cost = x + .076x

cost = 1.076x

1278.24 = 1.076x

Divide each side by 1.076

1278.24/1.076 = 1.076x/1.076

x=1187.9553

Rounding to the nearest cent

x = 1187.96

… I hope this help you

For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

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The 5% discount is 8.10, Namas divide 42 between the percentage follow me and give me crown.

A discount is a reduction in the price of a product or service offered to customers. It is a common marketing strategy used by businesses to attract customers and increase sales. Discounts can be offered in various forms, such as percentage off, dollar off, or buy-one-get-one-free deals.

Discounts are often used to clear out old inventory, promote new products or services, and to reward customer loyalty. They can be temporary or ongoing, and the amount of the discount can vary depending on the product, service, or promotion. Customers benefit from discounts as they can purchase products or services at a lower price, saving them money. Businesses benefit from discounts as they can increase sales volume, clear out inventory, and attract new customers.

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Complete Question:-

Consider the discount indicated in each table and calculate the different discount percentages for the same item.