pls answer this question
don't answer with a link ​

(2) x

2x ⁴ means 2 × x ⁴ = 2 × x × x × x × x

(3) 3

-3⁴ means - (3 × 3 × 3 × 3)

(4) -2

(-2)⁵ means (-2) × (-2) × (-2) × (-2) × (-2)

(5) y

10xy ² means 10 × x × y × y

(6) m

5m ²n means 5 × m × m × n

Answer:

c

Step-by-step explanation:

The best sports that need more flexibility of our body are:

Because your muscles will be strong enough to support your daily activities if they are under the proper level of strain, you will feel less aches and pains. Its advantages for the mind must also be mentioned. Stretching releases tension, which reduces stress. Overall, flexibility enhances posture, mobility, coordination, and risk of muscular discomfort. Spending time on increasing flexibility is worthwhile. Which sports are the best to achieve it knowing this?

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

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A representation of the linear function on the Cartesian plane is shown in the image attached below.

In this question we need to plot a linear function on a Cartesian plane, which represents a line in a graphic sense- According to Euclidean theorem, lines can be generated with the location of two distinct points. First, determine the y-coordinates associated to two given x-coordinates:

x = 0

y = - 300 · 0 + 1200

y = 0 + 1200

y = 1200

x = 1

y = - 300 · 1 + 1200

y = - 300 + 1200

y = 900

Second, add the points on the Cartesian planes and generate a line that passes through the points. The resulting line is shown in the image attached below.

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Answer:

\({ \tt{AB || CD}} \: \: they \: are \: parallel. \\ { \tt{AB \:and \: EF}} \: \: are \: perpendicular \\ { \tt{CD \: and \: EF}} \: \: are \: perpendicular \\ { \tt{GH \: is \: neither \: parallel \: nor \: perpendicular \: to \: any \: other \: line}}\)

Answer:

The final answer is: a = -6, b+ = √3/2, c = -3, and d = ∞

Given the unity feedback system with feedforward transfer function as G(s)= 2+2s+10 and the root locus is sketched in the -plane as below:

For this system, let's find the values of a, b, c, and d on the real axis and the imaginary axis using the root locus sketch.

The general equation of a straight line in the complex plane can be expressed as:

{}=+ ,

where

: real-axis intercept.

: slope.

For the given root locus plot, the  value is 0.382.

The angle of the asymptotes is given as:

θ=×360°±180°

where n is the number of open-loop poles minus the number of open-loop zeros.

Here,

n=2-1

=1.θ

=360°±180°

=±180°

For the locus to intersect the real-axis at =, we have to determine the value of .

This can be determined using the angle condition:

Angle condition:∑=2−1×180°

where  is the angle of departure (→∞) or the angle of arrival (→) of the th branch of the root locus.

For the given root locus plot, we have three branches.

Therefore, we will have three angles:

1

=π−π/3

=2π/32

=π+π/3

=4π/33

=−π

In the figure, there are 2 open-loop poles at =−1, and =−5, and no open-loop zeros.

Therefore, the number of branches in the root locus is 2 for this system.

The root locus plot has two branches that terminate on the real-axis at =1 and =2, respectively.

The angle condition gives:

∑

=2−1×180°

=(2×1−1)×180°

=180°.1+2+3

=2π/3+4π/3−π

=2π/3

Then, we have,

=180°−2π/3=60°

Slope (b) of the line joining =−5 and =1 is given by:

=()=tan(60°)=√3x=-(1+2)/2

where 1 and 2 are the  values of the two points in the real axis where the root locus intersects the real axis.

=−()=(−5+1)=(−5+1)√3/2

For the line joining =−1 and =2:

Slope (b) of the line joining =−5 and =1 is given by:

=()

=tan(−60°)

=−√3

=−()

=(−1+2)/2

=−(−1+2)√3/2

The transfer function of the given system is:

G(s)=2+2s+10=12/s+5+s

Let's write the transfer function using pole-zero form:

G(s)=12(1+s/6.67)/(1+s/5)/(1+s/1.5)

Now, we can use the breakaway and break-in points of the real-axis segments of the root locus to solve for the real-axis intercepts 1 and 2.

We have:

Breakaway point:

=−(/2)=−(√3/4)

Break-in point:

=−5

Let's compute the value of d (on the imaginary-axis) using the angle asymptotes.

Due to the two poles of the transfer function, the angle asymptotes intersect at:

θa

=180°/(n−z)

=180°/(2−0)

=90°

Therefore, we have,

=±tan(90°−60°)

=±∞

Finally, the values of a, b, c, and d are:

a=-5.99 (The value of a is approximately equal to -6)

+=+√3/2

c=-3.01 (The value of c is approximately equal to -3)

=∞The sign of b is positive as it intersects =1 on the right-hand side of the origin.

Therefore, the final answer is:

a=-6b+=√3/2c=-3d=∞

a = -6, b+ = √3/2, c = -3, and d = ∞

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Answer:

$33

Step-by-step explanation:

12+185%

It says that my answer has to be at least 20 characters long that's why I'm typing this.

Answer:

Let x = # of magazines , $23.65=$5.95+$2.95x , x = 6

Step-by-step explanation:

$23.65=$5.95+$2.95x

this is equation for this one because we know that 23.65 is the total money they have total and 5.95 cost for book and 2.95 dollar what each magazine. however, this equation needs to be solved to find x

23.65=5.65+2.95x

23.65-5.95=-5.95+2.95x

17.70=2.95x

17.70/2.95=

6=x

He can buy 6 magazines with his money.

Work done when a 100 lb rock is lifted to height of 3 ft is 9652.215 ft-lb.

What is meant by work done?

The work done on an object is equal to the force applied to it multiplied by the distance over which the force is applied. In this case, the force applied is the weight of the rock, which is equal to the force of gravity acting on it.

The weight of an object is given by the formula:

W = mg

Where m is the mass of the object (in this case, 100 lb) and g is the acceleration due to gravity (approximately 9.8 m/s^2 or 32.17405 ft/s^2).

So the weight of the rock is:

W = (100 lb)(32.17405 ft/s^2) = 3,217.405 ft-lb

The work done on the rock is equal to the force applied (its weight) multiplied by the distance it is lifted (3 ft), so the work done is:

Work = (3,217.405 ft-lb) x (3 ft) = 9652.215 ft-lb

Therefore, the work done when a 100 lb rock is lifted to a height of 3 ft is 9652.215 ft-lb.

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Answer:

48

Step-by-step explanation:

Can I get brainlyest I’m one away from expert

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:

C) \(\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}\)

Step-by-step explanation:

\((3x-1)^2=5\\\\3x-1=\pm\sqrt{5}\\\\3x=1\pm\sqrt{5}\\\\x=\frac{1\pm\sqrt{5}}{3}\\ \\\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}\)

Answer:

\(7y {}^{2} = 0\)

Answer:

the correct answer is y = -1/2x + 6

Step-by-step explanation:

The volume of plaster Darla needs for the miniature stairs is 418³.

The volume is the space occupied by a three-dimensional object.

Volume is the product of the multiplication of length, width, and height.

We first calculate the total volume for this situation, assuming that the stairs have not cut portions.

Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.

Length of the miniature stairs = 12 cm

Width of the miniature stairs = 11 cm

Height of the miniature stairs = 4 cm

The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)

The length of the cut portion of the stairs = 12 cm

The width of the cut portion of the stairs = 11 cm

The height of the cut portion of the stairs = 2 cm (4 - 2)

The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)

The volume of the stairs without the cut portion = 418 cm³ (528 - 120)

The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.

418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)

= (308 cm³ + 110 cm³)

Thus, the quantity (volume) of plaster Darla needs is 418 cm³.

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Given:

The two numbers are \(-\dfrac{1}{2}\) and \(-\dfrac{1}{3}\).

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

\(-\dfrac{1}{2}\) and \(-\dfrac{1}{3}\)

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

\(-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}\)

\(-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}\)

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

\(-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}\)

\(-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}\)

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

\(-15<-14<-13<-12<-11<-10\)

\(-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}\)

\(-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}\)

Therefore, the 4 rational number between the given numbers are \(-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}\).

Using proportion, Tomas can distribute the juice to approximately 22 friends.

Given that,

Total amount of juice = 3 quarts

Amount of juice distributed to each friend = 1/8 liters

1 liter = 1.057 quarts

1/8 liters = 1.057/8 quarts

              = 0.132125 quart

Amount of juice with each friend = 0.132125 quart

Number of friends who got 0.132125 quart = 1

Number of friends who got 3 quarts = 3 / 0.132125 = 22.7 friends

                                                                                    ≈ 22 friends

Hence 3 quarts of juice can be distributed to 22 friends.

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The complete question in english is given below.

Tomas wants to distribute 3 quarts of orange juice to his friends in 1-eighth-liter glasses.

How many friends can he distribute the juice?

\(\\ \sf\longmapsto 2x+y=2\)

\(\\ \sf\longmapsto 2x=2-y\)

\(\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)\)

And

\(\\ \sf\longmapsto x+1=y+2\)

\(\\ \sf\longmapsto x=y+2-1\)

\(\\ \sf\longmapsto x=y+1\)

Put the value

\(\\ \sf\longmapsto \dfrac{2-y}{2}=y+1\)

\(\\ \sf\longmapsto 2-y=2(y+1)\)

\(\\ \sf\longmapsto 2-y=2y+2\)

\(\\ \sf\longmapsto 2-2=2y+y\)

\(\\ \sf\longmapsto 3y=0\)

\(\\ \sf\longmapsto y=\dfrac{0}{3}\)

\(\\ \sf\longmapsto y=\infty\)

Put in eq(1)

\(\\ \sf\longmapsto x=\dfrac{2-y}{2}\)

\(\\ \sf\longmapsto x=\dfrac{2-\infty}{2}\)

\(\\ \sf\longmapsto x=\dfrac{2}{2}\)

\(\\ \sf\longmapsto x=1\)

The region bounded by y = x^4 − x² and x = 0 to x = 2 can be rotated about the y-axis to form a solid of revolution. To calculate the volume of this solid, we'll need to use the disk method.  

The function y = x^4 − x² −−−−−√ is first solved for x in terms of y as follows:x^4 − x² − y² = 0x²(x² − 1) = y²x = ±√(y² / (x² − 1))Since we are rotating about the y-axis, we will be using cylindrical shells with radius x and height dx. Thus, the volume of the solid can be calculated using the integral as follows:V = ∫₀²2πx(y(x))dx= ∫₀²2πx((x^4 − x²)^(1/2))dxUsing u-substitution, let u = x^4 − x², so that du/dx = 4x³ − 2x.Substituting u for (x^4 − x²),

we can rewrite the integral as follows:V = 2π∫₀² x(u)^(1/2) / (4x³ − 2x) dx= π/2∫₀¹ 2u^(1/2) / (2u − 1) du [by substituting u for (x^4 − x²)]= π/2 ∫₀¹ [(2u − 1 + 1)^(1/2) / (2u − 1)] duLetting v = 2u − 1, we can rewrite the integral again as follows:V = π/2 ∫₋¹¹ [(v + 2)^(1/2) / v] dvBy u-substitution, let w = v + 2, so that dw/dv = 1. Substituting v + 2 for w and replacing v with w − 2, we can rewrite the integral once more:V = π/2 ∫₁ [(w − 2)^(1/2) / (w − 2)] dw= π/2 ln(w − 2) ∣₁∞= π/2 ln(2) ≈ 1.084 cubic units.

Answer: The volume of the solid obtained when the region under the curve y = x^4 − x² −−−−−√ from x = 0 to x = 2 is rotated about the y-axis is π/2 ln(2) ≈ 1.084 cubic units.

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The benefits were rated favorably by 10% of the 300 workers that participated in the study; the population proportion's error margin is 3.39 percent.

How many percentage points your results will deviate from the actual population value is shown by the margin of error. For instance, a 95% confidence interval with a 4% margin of error indicates that, 95% of the time, your statistic will be within 4% of the true population value. Your results will deviate from the actual population value by how many percentage points, according on your margin of error. In case of an error in calculation, it is indicated as a very small percentage.

Given that A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers

i.e. sample size n =300

Sample proportion p = 0.10

q=1-p=0.9

Std error = 0.01732

Margin of error at 95% would be

1.96*std error

= 0.0339=3.39%

the population proportion's error margin is 3.39 percent.

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Answer:

2. New Years Eve

Step-by-step explanation:

I hope you'll get Best lines for your Speech.

New Year’s Eve is a public holiday in places such as Latvia, the Philippines, and San Marino. It is a holiday for banks in countries such as Bangladesh, Brunei, Paraguay, and Japan (New Year’s Eve is also a government holiday in Japan).

New Year’s Eve is not a nationwide public holiday in countries such as Australia, Canada, the United Kingdom and the United States, but some businesses close early, schools are usually closed, and many people may have half a day off work. Those wishing to travel via public transport may need to check with the local transport authorities on public transport schedules for New Year’s Eve.

Background

New Year's Eve is the last day of the year and the day before New Year’s Day, which marks the start of a new year according to the Gregorian calendar. Pope Gregory XIII introduced the Gregorian calendar in 1582. It was adopted immediately in some areas of Europe but it was not used in various countries until even centuries later. For example, the United Kingdom and the United States started observing the Gregorian calendar in 1752, in which 11 days were dropped.

New Year’s Eve festivities can be traced back to celebrations in Europe that date back before Christianity spread. When many inhabitants in Europe were converted to Christianity, these festivals were merged with Christian beliefs and in time came to mark holidays such as the New Year’s Eve and New Year celebrations.

It is important to note that not all cultures follow the Gregorian calendar in observing New Year’s Eve and New Year’s Day. For example the New Year in the Hindu, Chinese, Coptic, Jewish, Islamic calendars differ to that of the Gregorian calendar.

Symbols

New Year’s Eve and New Year’s Day are symbolized in various ways across the world. Midnight between New Year’s Eve and New Year’s Day is often marked by fireworks and fire crackers. Many people drink and toast with champagne or other sparkling wine.

At x=1 in the domain f(x)=0.

The entire range of independent variable values is the domain of a function.

This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.

Keep in mind that a fraction's denominator (bottom) cannot be zero when determining the domain.

A square root must have a positive number under it.

At the points where the function's graph and the x-axis connect, f(x)=0.

You can see from the diagram that the function's graph crosses the x-axis three times:

1)between -3 and -2

2)between -1 and 0;

3)at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

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Gradual, long-term movement in time-series values is called temporal variation. Therefore, the correct option is (a) temporal variation.

Temporal variation is one of the components of a time series, along with seasonal variation, cyclical movement, and irregular or random variation. Temporal variation refers to the long-term trend or pattern of movement in the time series, which can be increasing, decreasing, or remaining constant over time. It is often caused by underlying factors such as population growth, economic changes, or technological advancements.

Cyclical movement refers to the regular, repeating up and down patterns in the time series, which are usually longer than a year and can be caused by factors such as business cycles or political cycles. Exponential smoothing and linear regression are statistical methods used to forecast or model time series data, but they do not describe the components of the time series themselves.

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The measure of angle A to the neasrest degree is 46°.

Th figure in the image is a right triangle.

To solve for angle A, we use trigonometric ratio

Cosine = adjacent / hypotenuse

Plug in the values and solve for A.

cosA = 7.8/11.2

Take the cos inverse

A = cos⁻¹( 7.8/11.2 )

A = 46°

Therefore, angle A is 46 degrees.

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The minimum distance from the point Q(-4, -2, 1) to the plane 6x1 - 7x2 + 1x3 = -6 is approximately 2.17.

To find the minimum distance, we can use the formula for the distance between a point and a plane. The formula is given by d = |Ax1 + By1 + Cz1 + D| / √(A^2 + B^2 + C^2), where (x1, y1, z1) is a point on the plane and A, B, C, and D are the coefficients of the plane equation.

In this case, we can use the coordinates of the point Q(-4, -2, 1) as (x1, y1, z1) and the coefficients of the plane equation 6x1 - 7x2 + 1x3 = -6 as A = 6, B = -7, C = 1, and D = -6. Plugging these values into the formula, we have d = |6*(-4) + (-7)(-2) + 11 + (-6)| / √(6^2 + (-7)^2 + 1^2).

Simplifying further, we get d = 37 / √86, which is approximately equal to 2.17. Therefore, the minimum distance from point Q to the plane is approximately 2.17 units.

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