Which fraction is equivalent to
-2/3

The slope of the linear equation is a negative value, equal to -2.

The following is an example of a generic linear equation:

y = m*x + k

Where m represents the slope, and k represents the y-intercept of the equation.

If we know that the lie goes through two points (a, b) and (c, d), then the formula that describes the slope of the lie is as follows:

m = (d - b)/(c - a) (c - a)

Since we already know that the line traverses the points (0, 2) and (1, 0), we can calculate the slope as follows:

m = (0 - 2)/(1 - 0) = -2

Our investigation leads us to the conclusion that the slope of the linear equation is -2.

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Answer:

2

Step-by-step explanation:

I did it

Answer:

Complementary angles: a pair of angles are considered complementary when their sum is exactly 90º.

Step-by-step explanation:

To calculate a complementary angle, we will subtract 90 from the angle that the statement tells us and it will give us its complementary. Supplementary angles: A pair of angles are considered supplementary when their sum is exactly 180º.

Step-by-step explanation:

Angles BEC and KEC are labelled as congruent.

Therefore (6x + 24)° = 10x°, 4x = 24, x = 6.

Hence Angle BEK = (6x + 20)° + 10x°

= (16x + 24)° = 16(6) + 24 = 120°. (C)

The value of ∠BEK will be 120° so option (C) will be correct.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

In other meaning, if you can copy a figure then that copy and the original figure will be congruent.

Given figure has two triangles ΔCBE and ΔCKE.

The angle of (6x + 24)° is the same as (10x)° ( given congruency of angle by double line)

So,

6x + 24 = 10x

10x - 6x = 24

4x = 24

x = 6°

So,

Angle ∠BEK

∠BEK  = (6x + 24) + (10x)

∠BEK  = 6(6) + 24 + 10(6)

∠BEK  = 120°.

Hence "The value of ∠BEK will be 120° ".

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Use the formula:

Radio= r, Height= h

V= 3.14xrx2h

r =25, h=31

V= 3.14 x 25 x 2 (31) =. 4867

V= 4867 cubic inches

Step-by-step explanation:

The domain of the function for this situation is 420 ≤ b ≤ 425. Option A

The set of all possible values of b, which in this example is the number of dollar bills generated by the mint, is the domain of the function

According to the problem, the mint produces at least 420 but no more than 425 dollar bills, hence the domain is: 420 ≤ b ≤ 425

As a result, the answer is 420 ≤ b ≤ 425

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Answer:

To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:

totalcost = (2 * d) + (5 * t)

For example, if we have 2 drinks and 3 tacos, the calculation would be:

totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19

So, with 2 drinks and 3 tacos, the total cost would be $19.

You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.

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The simplified form of the expression is sec x.

Substituting these identities into the expression, we get:

(tan x + cot x) / csc x

= (sin x / cos x + cos x / sin x) / (1 / sin x)

To simplify further, we can combine the fractions by taking the common denominator:

= [(sin^2 x + cos^2 x) / (cos x * sin x)] / (1 / sin x)

Using the Pythagorean identity sin^2 x + cos^2 x = 1, we have:

= [1 / (cos x * sin x)] / (1 / sin x)

Next, we can simplify by multiplying the numerator and denominator by sin x:

= [1 / (cos x * sin x)] * (sin x / 1)

= 1 / cos x

The simplified form of the expression is sec x.

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The value of the integral ∫ex dx over the curve x = y^3 from (-1, -1) to (1, 1) is not provided.

To evaluate the integral ∫ex dx over the curve x = y^3 from (-1, -1) to (1, 1), we need to parameterize the curve and then substitute it into the integral expression.

The given curve x = y^3 represents a relationship between the variables x and y. To parameterize the curve, we can express x and y in terms of a common parameter t. Let's choose y as the parameter:

x = (y^3) ... (1)

To find the limits of integration, we substitute the given points (-1, -1) and (1, 1) into equation (1):

For the point (-1, -1):

x = (-1)^3 = -1

y = -1

For the point (1, 1):

x = (1)^3 = 1

y = 1

Now we can rewrite the integral in terms of y and evaluate it:

∫ex dx = ∫e(y^3) (dx/dy) dy

To proceed further and determine the value of the integral, we need additional information such as the limits of integration or the specific range for y. Without this information, we cannot provide a numerical result for the integral.

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Answer:35 dollars each

Step-by-step explanation: Because if you take the $40 out of 180 you get 140 then you divide 140 by 4 and you get 35. Hope this helps.

The half-life of the unknown radioactive element is approximately 463.4 days.

The half-life of an element is the amount of time it takes for half of the sample to decay into non-radioactive substances. In this case, the sample has decreased by 58 percent in 300 days.

To find the half-life of the element, we can use the formula:
A = A0 * (1/2)^(t/h)

Where A is the final amount of the sample, A0 is the initial amount of the sample, t is the amount of time that has passed, and h is the half-life of the element.

Rearranging the formula to solve for h, we get:

h = (t * log(1/2)) / log(A/A0)

Plugging in the given values, we get:

h = (300 * log(1/2)) / log(0.42)

Solving for h, we get:

h ≈ 463.4 days

Therefore, the half-life of the unknown radioactive element is approximately 463.4 days.

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Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.

Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060

Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined

Visits to Cool Beans should be 2,060

Current Visits =548

Additional visits =2,060-548 i.e. 1,512 visits

Note for better understanding:

same or the demand of coffee will remain same, then the Additional people will be calculated as:

Total number of visits = 584+840+1,220  i.e. 2,608

Target number of visits =50 % of total visits i.e. 1,304 visit

Additional visits = 1,304-548 = 756 visits

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Answer:

x=2, y=8

Step-by-step explanation:

This is a system of equations, so we need to substitute one equation for another one but they are both equal to y.

4x=5x-2

-x=-2

x=2

y=4x

y=4(2)

y=8

The simplification of the given expression \((4-5i)(2+6i)-(3-2i)\), we get \(-30i^2+16i+5\).

Given expression is:

By applying the multiplication, we get

→ \((8-10i+24i-30i^2)-(3-2i)\)

By multiplying the (-) sign into the bracket, we get

→ \(8-10i+24i-30i^2-3+2i\)

→ \(5+16i-30i^2\)

By arranging the terms, we get

→ \(-30i^2+16i+5\)

Thus the answer above is right.

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In a parallelogram, the opposite angles have equal measures. Therefore, 2n + 32 = 4n - 2

32 = 2n - 2

34 = 2n

17 = n

Answer:

Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to

Step-by-step explanation:

The line under plays the role of an equal sign and the others are pretty self explanatory

Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.

Step-by-step explanation: hope this helps

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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The value οf each variable is a=4, b=8, c=4 and d= 4√3

In simple geοmetry, twο geοmetric items are perpendicular if the meeting at the place οf intersectiοn knοwn as a fοοt results in right angles. The perpendicular symbοl can be used tο visually depict the state οf perpendicularity.

Perpendicular lines are twο lines that meet οr crοss at right angles οf 90° in mathematics. The Latin wοrd "perpendicularis," which denοtes a straight line, is where the wοrd "perpendicular" first appeared.

Sin45°= perpendicular/hypοtenuse = a/4√2

Or, Sin45°= a/4√2

Or, 1/√2= a/4√2

Or, a=4

The value οf a is 4

Sin45°= perpendicular/hypοtenuse = c/4√2

Or, Sin45°= c/4√2

Or, 1/√2= c/4√2

Or, c=4

The value οf c is 4

Sin30°= a/b

Or, ½= 4/b

Or, b= 8

The value οf b is 8

Sin60°= d/b

Or, √3/2 = d/8

Or, 2d= 8√3

Or, d= 4√3

The value οf d is 4√3

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Step-by-step explanation:

1 business = 736800 ÷ 9 = 81866.66

Each business associates 81866.66

The equation using x to represent the number of square feet of glass used for your windows is 350 + 33x = 5300

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of square feet of glass be x.

Since the Installing custom glass windows costs $350 for the install and $33 per square foot of glass needed for your windows. The equation will be:

350 + 33(x) = 5300

350 + 33x = 5300

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Movement plays a crucial role in various aspects of our lives, including physical health, cognitive development, and emotional well-being.

Movement is essential for maintaining physical health and well-being. Regular physical activity helps to strengthen muscles and bones, improve cardiovascular fitness, and maintain a healthy weight. Engaging in activities such as walking, running, swimming, or cycling promotes the overall functioning of the body and reduces the risk of chronic diseases like heart disease, diabetes, and obesity.

Furthermore, movement has a significant impact on cognitive development. Physical activity stimulates the brain and enhances cognitive functions such as memory, attention, and problem-solving skills. Studies have shown that children who engage in regular physical activity tend to perform better academically and have improved cognitive abilities compared to those who lead sedentary lifestyles. Exercise increases blood flow and oxygenation to the brain, promoting neuroplasticity and the growth of new brain cells.

In addition to physical health and cognitive development, movement also plays a crucial role in emotional well-being. Exercise releases endorphins, which are neurotransmitters that help reduce stress and improve mood. Regular physical activity has been linked to lower rates of depression and anxiety, as it provides a natural boost to mental health. Engaging in activities that involve movement, such as dancing, yoga, or team sports, can also enhance social connections and promote a sense of belonging and self-confidence.

In conclusion, movement is vital for our overall well-being. It contributes to physical health, cognitive development, and emotional well-being. By incorporating regular physical activity into our daily routines, we can reap the numerous benefits associated with movement and lead healthier, more fulfilling lives.

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Time-series analysis is most effective when used in medium- to long-term forecasts.

Time-series analysis is most effective when used in​ short-term forecasts. So, the correct option is D. Short.

In mathematics, time series are data points indexed (or listed or plotted) over time. In general, a time series is a sequence obtained at successive points in time. So it is a discrete time data series. Examples of time series are the peak height of the Dow Jones Industrial Average, the number of days, and the daily closing price.

Time series are usually organized by running charts (timeline charts). Time series statistics, signal processing, pattern recognition, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, etc. It is used with the time measurement field in many science and engineering fields.

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Answer:

It is 66.14g

Step-by-step explanation:

X should be equal to 0.71777...

Answer:

Step-by-step explanation:

The area formula of a parallelogram is the same as the area formula of a rectangle, it is A=bh.

Given that area is 15 units, A = 15.

On the graph, we can see that base is 3 units. b = 3.

plug in the values into the formula,

\(15 = 3 * h\\h = 15 / 3 = 5\)

The direction of the rescue boat, obtained by representing the location of the sailboat using vectors is N 8.7° E

A vector is a quantity that posses the properties magnitude and direction.

The vector form of the motion of the sailboat can be presented as follows;

d = 8 × sin(12)·i + 8 × cos(18)·j

The next direction of the sailboat = 3 miles south = -3 j

Therefore, the distance and direction of the sailboat is; 8 × sin(12)·i + 8 × cos(18)·j + -3 j

The direction the rescue boat has to leave from the dock in order to intercept the sailboat is; arctan(3 + 8 × cos(18))/( 8 × sin(12)) ≈ 81.26°

The direction relative to the North = 90° - 81.26° ≈ 8.7°

The direction of the rescue both is N 8.7° E

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Answer:

0.11

0.28

got it right on edge

The speed is unusual (65 mi/h + 55 mi/h ), The two rates were not maintained keep up with the times.

Velocity is defined as the vector value of the speed and motion direction. The speed at which something moves in one direction is known as velocity. Velocity can be used to measure both the speed of a car traveling north on a highway and the speed of a rocket taking off into space.

here we have,

we know,

The direction in which a body or object is moving is determined by velocity.

Most of the time, velocity is a scalar number. In essence, velocity is a vector quantity. The term "velocity" refers to the rate of change in displacement and distance. speed is indicated by the speed and direction of travel (for instance, 60 kilometers per hour north).

Calculating the problem:

The speed changed once a certain amount of time had passed.

Speed = We get 65 = mi/h =130mi/h  by substituting variables, which is the formula for this = d/t

In the interim, t1 has a value of 2.0 hours.

At lower speeds, the time is shown as t2 = T - t1 = 3.33 h — 2.0 h = 1.33 h.

The difference between the two speeds, such as speed = 73 miles, is also shown in this.

D is the sum of d1 and d2, which equals 203 miles.

The normal speed is = d/t= 61.

The two rates were not kept up with the times because of the unusual speed (65mi/h + 55 mi/h).

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It's really hard to see on the graph but the answer should be A. Germany won the fewest number of Olympic medals in the Summer Games of 2004.

If you read the other options, it doesn't make sense at all so through the process of elimination, A is the answer.

Answer:

A.Germany won the fewest number of Olympic medals in the Summer Games of 2004.

Step-by-step explanation:

because i took the quiz

Answer: 42

Explanation:

Image below