3. Find the distance between
(5,8) and (-7,-6).

The value of x in the parallel line is 11.

When parallel lines are cut with a transversal line, angle relationship are formed such as corresponding angles, alternate interior angles, alternate exterior angles, corresponding angles, vertically opposite angles etc.

Therefore, let's use the angle relationship to find the value of x .

Hence,

6x + 14 = 80(corresponding angles and vertically opposite angles)

6x + 14 = 80

subtract 14 from both sides of the equation

6x + 14 - 14 = 80 - 14

6x = 66

divide both sides of the equation by 6

x = 66 / 6

x = 11

Therefore,

x = 11

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Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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The total capital raised from selling 10 investment units at $100,000 per unit with a preferred return of 7% and a 70%/30% split would be $1,000,000.

To calculate the total capital raised, we need to consider the number of units sold, the price per unit, and the preferred return.

Given that 10 investment units were sold at $100,000 per unit, the total value of the units sold would be 10 units * $100,000 = $1,000,000.

The preferred return of 7% indicates that the investors will receive a fixed return of 7% on their investment before any profit sharing occurs. However, for the purpose of calculating the total capital raised, we do not deduct the preferred return from the total value of the units sold.

The 70%/30% split suggests that after the preferred return is paid, the remaining profits will be split between the owner and the investors in a 70%/30% ratio. This split does not affect the calculation of the total capital raised.

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Answer:

not the answer:

you can do it think and stay positive

In order to determine the critical values for an independent-samples T-test, the following information needs to be known:

The critical values for an independent-samples t test are used to determine if the differences between two samples are statistically significant. In order to calculate the critical values, the size of the sample (n), the significance level (alpha), the degrees of freedom (df), and the type of t-test (one-tailed or two-tailed) must be known. The degrees of freedom are equal to the number of observations in the sample minus

The size of the sample is the total number of observations in the two samples. The significance level is the probability of making a type-I error (rejecting the null hypothesis when it is true). Finally, the type of t-test is used to determine if the test is one-tailed (testing for a difference in one direction) or two-tailed (testing for a difference in both directions). Once all of this information is known, the critical values can be calculated to determine if the differences between the two samples are statistically significant.

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Answer: x = -3

Step-by-step explanation:

Given

-7x - 14 = 2x + 13

Subtract 2x on both sides

-7x - 14 - 2x = 2x + 13 - 2x

-9x - 14 = 13

Add 14 on both sides

-9x - 14 + 14 = 13 + 14

-9x = 27

Divide -9 on both sides

-9x / -9 = 27 / -9

\(\boxed {x = -3}\)

Check:

Left-hand side = -7x - 14

                        = -7 (-3) - 14

                        = 21 - 14

                        = 7

Right-hand side = 2x + 13

                           = 2 (-3) + 13

                           = -6 + 13

                           = 7

7 = 7

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The side length can be used to draw (0) unique triangles because the two side lengths (8 and 12) add together to a sum that is (less than) the third side length

Step-by-step explanation:

Answer:

The midpoint is (-3,22)

Step-by-step explanation:

Use the midpoint formula (x1+x2 /2, y1+y2 /2)

Answer:

Step-by-step explanation:

10

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Answer:

96

Step-by-step explanation:

Answer:

The value of x = 12.

Step-by-step explanation:

We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.

We also know that a straight line angle measures 180°.

It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.

Therefore,

9x° + 72° = 180°

9x° = 180° - 72°

9x° = 108

divide both sides by 9

9x/9 = 108/9

x = 12

Therefore, the value of x = 12.

The MLE estimates for the unigram model are as follows:
P(a) = 0.500, P(b) = 0.313, and P(c) = 0.188 (rounded to three decimal places).

To calculate the MLE estimate for the unigram model, we need to count the number of times each character appears in the sequence.

Let's find the Maximum Likelihood Estimation (MLE) estimate for the unigram model based on the given sequence. We'll break down the steps as follows:

1. Count the occurrences of each character in the sequence.
2. Calculate the total number of characters in the sequence.
3. Divide the count of each character by the total number of characters to find the MLE estimate for each character.

a appears 6 times, b appears 5 times, and c appears 2 times.

We can then divide each count by the total number of characters in the sequence to get the probability of each character:

P(a) = 6/15 = 0.4
P(b) = 5/15 = 0.333
P(c) = 2/15 = 0.133

So the MLE estimate for the unigram model is:
P(a) = 0.4
P(b) = 0.333
P(c) = 0.133

We round to three decimal places to get:
P(a) = 0.400
P(b) = 0.333
P(c) = 0.133

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Answer:

Hello!!

The correct answer is false. The exposition begins with conclusions that introduce the characters and the conflict they face

Hope this helps!!

Answer:

16

Step-by-step explanation:

If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.

The period of simple harmonic motion will be 1.0433 sec

What is a simple harmonic motion?

In physics, simple harmonic motion is the repeated back-and-forth movement through an equilibrium, or Centre, position so that the maximum displacement on one side of this position is equal to the maximum displacement on the other. Each whole vibration occurs at the same time interval. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship.

The vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling, is an example of a simple harmonic oscillator.

So, the time period of Simple harmonic motion is

\(T=2\pi \sqrt{\frac{m}{k} }\)

where m is mass and k is spring constant

m = 4 pounds

k = 36lb/ft

\(T=2\pi \sqrt{\frac{4}{36} }\)

\(T=2\pi \sqrt{\frac{1}{9} }\)\(T=\frac{2\pi }{3} }\)

T=1.0433 sec

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.


The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.

To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.

The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.

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Answer: $130

Step-by-step explanation:

Answer:

£111

Step-by-step explanation:

i tried it, its right

Answer:

9.0 ft (nearest tenth)

Step-by-step explanation:

The chord is the base of an isosceles triangle with sides of the radius.

To calculate the approximate distance of the chord from the center of the circle, we need to find the height of this triangle.

\(\sf height=\sqrt{s^2-(\frac{b}{2})^2}\)

(where s is the side length and b is the base length of an isosceles triangle)

Given:

\(\begin{aligned}\implies \sf height & =\sqrt{10.8^2-\left(\frac{12}{2}\right)^2}\\ & = \sqrt{116.64-36}\\ & = \sqrt{80.64}\\ & = 8.979977728...\\ & = 9.0\: \sf ft\:(nearest\:tenth) \end{aligned}\)

Perpendicular=P=?

Apply Pythagorean theorem

The row vectors of the matrix are [-2 -3 1 0], and the column vectors are:

In a matrix, row vectors are the elements listed horizontally in a single row, while column vectors are the elements listed vertically in a single column. In this case, the given matrix is a 1x4 matrix, meaning it has 1 row and 4 columns. The row vector is [-2 -3 1 0], which represents the elements in the single row of the matrix. The column vectors, on the other hand, can be obtained by listing the elements vertically. Therefore, the column vectors for this matrix are -2, -3, 1, and 0, each listed in a separate column.

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Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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Answer:

hows your day going? :)

Answer:

AB = 6 cm

Step-by-step explanation:

\(In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm\)

We can set the first point of our zip line as follows:

(x₁ , y₁ , z₁) = (0, 0, 46)

So the end of the zip line would be:

(x₂ , y₂ , z₂) = (45, 25, 39)

Now let's use the given distance formula to solve this problem: