A quadrilateral is a polygon with four sides and four angles. The sum of the angles equals 360 degrees. A trapezoid and a rhombus are both quadrilaterals. Which statement is true?

A quadrilateral is a rhombus.

A trapezoid is an example of a rhombus.

the sum of the angles of a trapezoid equals 360 degrees.

All figures whose angles have a sum of 360 degrees are trapezoids.

a.) The point should be placed at paraboloid.

b.) The equation of the tangent plane to the surface at point P is: 2x + 2y + z = 6

c.) The slope of the tangent plane at point P is the same as the slope of the surface in the x and y directions, which is 2.

A. The receiver should be placed at the focus of the paraboloid because any incoming signal from a satellite will reflect off the paraboloid and converge at its focus.

B. To find the equation of the tangent plane to the surface at point P(1, 1, 2), we need to find the normal vector to the surface at that point. The gradient of the function z = x^2 + y^2 is given by (∂z/∂x, ∂z/∂y) = (2x, 2y). Therefore, at point P, the gradient is (2, 2). This vector is perpendicular to the tangent plane, so it is the normal vector to the plane. Using the point-normal form of the equation of a plane, the equation of the tangent plane to the surface at point P is:

2(x - 1) + 2(y - 1) + (z - 2) = 0

2x + 2y + z = 6

C. Yes, it makes sense to talk about the slope of the tangent plane. The slope of the tangent plane is the same as the slope of any line that lies on the plane. To find the slope of the tangent plane, we can differentiate the equation of the surface with respect to x and y to obtain the partial derivatives:

∂z/∂x = 2x

∂z/∂y = 2y

At point P(1, 1, 2), these partial derivatives evaluate to ∂z/∂x = 2 and ∂z/∂y = 2. Therefore, the slope of the tangent plane at point P is the same as the slope of the surface in the x and y directions, which is 2.

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The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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The probability of winning $80 within 1000 sequential bets utilizing the Martingale strategy is close to 0%.

The probability of winning $80 using the Martingale strategy is close to 0% because the probability of winning at each bet is 0.47. This means that the expected value of our winnings after 1000 sequential bets is close to 0.

If we lose more than 4 times in a row (which is very likely if we have 1000 sequential bets), we have to double our bet each time and therefore we would need more money than what we initially have in order to keep betting. This means that the expected value of our winnings converges to 0 as the number of sequential bets increases.

Furthermore, the standard deviation of our winnings also converges to 0 as the number of sequential bets increases because the expected value of our winnings is 0. This means that the probability of winning any amount of money is close to 0.

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The complete question is attached below.

Answer:

-3 < w < 8 or (-3, 8)

Step-by-step explanation:

Am i get it right?

Answer:

it is 8 -3 to the power of 5

Answer:

Answer to (4+5): (0,0)

Answer to 6: 0

Step-by-step explanation:

(4+5 Explanation):

We can start to imagine the graph of \(y=|x|\) in our head.

If we have a positive value of x, then y will be equal to x.

If we have a negative value of x, then y will be the opposite of x (since the absolute value of a negative is a positive).

This means that the graph will look a bit like this, changing at the point (0,0).

\/, it would look like a downward facing arrow. This means the vertex is at (0,0).

6 Explanation:

If we know the value of \(w\), we can substitute it into the expression \(2w+w-15\) as 5.

\(2(5) + 5 - 15\\\\10 + 5 - 15\\\\15-15\\\\0\)

Hope this helped!

Answer:

6: 3w-15

Step-by-step explanation:

you can put all the W's together and just add the -15 at the end.

By the incenter property, this angle is half of the measure of ∠AEC Hence, the measure of ∠DEP is half of the measure of ∠AEC.

Since ΔDEP is congruent to ΔDCP by the SAS (Side-Angle-Side) postulate, the corresponding angles of these triangles are equal.

Therefore, the measure of ∠DEP is equal to the measure of ∠DCP.

Since P is the incenter of ΔAEC, ∠DCP is the angle formed by the bisector of ∠AEC.

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D. y-2 cos(2x) + 4 is not a solution to the differential equation y" + 4y = 0.

The differential equation y" + 4y = 0 is a second-order, homogeneous linear differential equation with constant coefficients. The general solution to this type of differential equation is of the form y = e^(rt) where r is a root of the characteristic equation r² + 4 = 0. The roots of this equation are r = +/- √(4) = +/- 2i, which are both imaginary. Therefore, the general solution to the differential equation is y = c1cos(2x) + c2*sin(2x), where c1 and c2 are arbitrary constants.

Option D. y - 2 cos(2x) + 4 is not a solution to this differential equation because it doesn't have the same form as the general solution. It is a combination of a constant term, cosine and sine function but the general solution only contains sine and cosine function.

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Answer:

A

B

C

Step-by-step explanation:

100% correct answers

Answer:

C

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

The student gets paid $25 for each lawn that is mowed (x)

$15 for each pool that is cleaned (y). The student wants to earn $750.

The equation that represents this relationship is 25x+15y=750.

The x - intercept :

Value of x, when y =. 0

25x + 15(0) = 750

25x + 0 = 750

x = 750 / 25

x = 30

To earn 750, if no pools are cleaned, number of lawns to be mowed = 30

(30, 0)

Y - intercept :

Value of y when x = 0

25(0) + 15y = 750

0 + 15y = 750

y = 750 / 15

y = 50

To earn 750, if no lawns are mowed, number of pools to be cleaned = 50

(0, 50)

The height of the box is approximately 0.499 cm.

The volume of the box is given as 925 cm³, so we have the equation:

Volume = x² * h = 925

To minimize the cost, we need to minimize the surface area. The surface area consists of the area of the base and the area of the four sides of the box. The cost for the base material is 7 cents/cm², and the cost for the side material is 2 cents/cm².

The surface area of the base is given by:

Base area = x²

The surface area of the four sides is given by:

Side area = 4 * (x * h)

The total surface area is the sum of the base area and the side area:

Surface area = Base area + Side area

           = x² + 4xh

To minimize the cost, we need to minimize the surface area. So, we can express the surface area in terms of a single variable using the volume equation:

Surface area = x² + 4 * (925 / x²) * x

           = x² + 3700 / x

Now, we can find the derivative of the surface area with respect to x and set it to zero to find the critical points:

d(Surface area)/dx = 2x - 3700 / x² = 0

Simplifying the equation:

2x - 3700 / x² = 0

2x² - 3700 = 0

2x² = 3700

x² = 1850

x = √1850 ≈ 43.01

Since x represents the side length of the base, it cannot be negative. Therefore, we discard the negative solution.

So, the side length of the base is approximately 43.01 cm.

To find the height, we can substitute the value of x into the volume equation:

x² * h = 925

(43.01)² * h = 925

h ≈ 925 / (43.01)² ≈ 0.499

Therefore, the height of the box is approximately 0.499 cm.

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There is a Open-Top Rectangular Box With A Square Base That Must Hold A Volume Of Exactly 925 Cm3. The Material For The Base Of The Box Costs 7 Cents/Cm2 And The Material For The Sides Of The Box Costs 2 Cents/Cm2. Find The Dimensions For A Box That Will Minimize The Cost Of The Materials Used To Construct Box. Round To 2 Decimal Places.

Answer:

g=Xs+t

Step-by-step explanation:

please love math

to learn math, to look for topics you don't know in the internet

Answer:

Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48

fourth 48 + 48=96

 fifth 96+96=192

sixth  192+192=384

seventh 384+384=768

last but not least 768+768 = 1536

so your answer is 1,536

2.23% is the probability of a city with a population of 200,000, and there will be exactly 2 accidental drownings per year.

The Poisson distribution, is useful for modeling the number of events (in this case, accidental drownings) in a fixed interval (here, a year). Given the average rate of 3.0 drownings per 100,000 people per year, we first need to find the expected number of drownings in a city with a population of 200,000.

Expected drownings per year = (3.0 drownings / 100,000 people) * 200,000 people = 6 drownings

Now, we can use the Poisson probability formula to calculate the probability of exactly 2 accidental drownings per year in this city:

P(X = k) = (λ^k * e^(-λ)) / k!

Here, X represents the number of drownings, k is the desired number of drownings (2 in this case), λ (lambda) is the expected number of drownings per year (6), e is the base of the natural logarithm (approximately 2.718), and k! is the factorial of k.

P(X = 2) = (6^2 * e^(-6)) / 2! = (36 * e^(-6)) / 2 = (36 * 0.002478) / 2 = 0.04461 / 2 = 0.022305

Therefore, the probability that in a city with a population of 200,000, there will be exactly 2 accidental drownings per year is approximately 0.0223 or 2.23%.

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The lowest point on the graph occurs at point (3π/2,  -1)

One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.

The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.

The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation

The attached graph shows sine function graph plotted with the interval [0, 2pi]

The lowest point is observed to occur at  (3π/2,  -1)

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\(\huge \bf༆ Answer ༄\)

The Slope of the line is the rate of change shown in the graph.

Taking two points on the line (1 , 6) and (2 , 12)

Slope (m) is equal to : -

Hence, Rate of change is $6 / hour

\(꧁  \:  \large \frak{Eternal \:  Being } \: ꧂\)

Answer:

$45

Step-by-step explanation:

We know

A merchant bought an item for $30 and sold it for 50% more.

50% of $30 = $15

What price did the merchants sell the item?

$30 + $15 = $45

So, the merchants sell the item for $45

It is False that by adding the number of inner loops , we get the total number of iterations.

A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.

There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.

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Answer:

Option (A) and (B)

Step-by-step explanation:

The area under the standard Normal curve corresponding to –0.3 < Z < 1.6 is answer choices 0.3273, and 0.4713.

Area = 0.3273. Ergo, the answer is A.

Step-by-step explanation:

0.9953/2 - 0.3085/2

The polynomial equation representing the situation is 4x² + 56x = 93  .

In the question ,

it is given that

the length of the rectangular garden is = 16 feet

the width of the rectangular garden is = 12 feet

we have to surround the border by mulch ,

the width of the border with mulch is = x

So the new length with mulch = 16 + x + x = 16 + 2x

and the new width with mulch is = 12 + x + x = 12 + 2x

also given that the area of garden plus border is = 285 square feet

we know that the area is = length × width

On substituting the values length and breadth , we get

285 = (16 + 2x)×(12 + 2x)

285 = 192 + 32x + 24x + 4x²

4x² + 56x + 192 = 285

4x² + 56x = 285 - 192

4x² + 56x = 93

Therefore , The polynomial equation representing the situation is 4x² + 56x = 93  .

The given question is incomplete , the complete question is

Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet . Write a polynomial equation to represent the situation ?

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If a finite group G has exactly one subgroup of a given order, then that subgroup is a normal subgroup of G

To show that if a finite group G has exactly one subgroup of a given order, then that subgroup is a normal subgroup of G, follow these steps:

1. Let H be the unique subgroup of G with a given order, say n.

2. Take any element g in G and consider the set gHg⁻¹, which is the conjugate of H by g. Here, g⁻¹ denotes the inverse of g.

3. We want to show that gHg⁻¹ is also a subgroup of G with the same order as H.

4. Notice that |gHg⁻¹| = |H|, since the mapping from H to gHg⁻¹ given by h ↦ ghg⁻¹ is a bijection.

5. Since there is only one subgroup of G with order n, we must have gHg⁻¹ = H.

6. As this holds for any element g in G, it means that H is a normal subgroup of G, by the definition of a normal subgroup.

So, if a finite group G has exactly one subgroup of a given order, then that subgroup is a normal subgroup of G.

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when the minute hand rotated through 1260° time will became 5:30 PM

Complete angle:-

                             A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.

      In an hour or in 60 minute, minute hand covers a 360° angle.

   According to question,

                              initially it is 2:00PM,that is minute hand at 12 and hour hand at 2

       it is given that minute hand has rotated through 1260°

                        1260° = 3 x 360° + 180°

                                                             which means minute hand will have three complete rotation and one half rotation.

            when minute hand rotated through 360° angle then hour hand will move from 2 to 3.

              And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.

             Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.

           As of now, minute hand have taken three complete rotation and so hour hand reached at 5

                 Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.

           So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.

            hence,  time will be 5:30 PM

                            Option A is correct

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Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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Answer:

for 8 it is a for 9 it is and that is way i.think that this is the answer

Step-by-step explanation:

2+6x= -10 + 11(x + 4)

2+ 6x = -10 + 11x + 11(4)

2 + 6x = -10 + 11x + 44

2+ 6x = 11x + 34

6x - 11x = 34 - 2

-5x = 32

x= - 32/5

Answer:

Step-by-step explanation:

1) multiplication- 2+6x=-10+11x+44

2)addition or subtraction- 2+6x=11x+34

3)isolate the variable- -5x=32

4)divide 32 by 5= x=6.4 or 32/5

Answer:

6x^2 + 15x - 13

Step-by-step explanation:

Combine Like Terms

9x^2 - 3x^2 = 6x^2

7x - (-8x) = 15x

-6 - 7 = 13

Write Equation

6x^2 + 15x - 13

The expected value for the binomial distribution with the provided probabilities is approximately 1.29888.

To find the expected value for the binomial distribution, we multiply each possible outcome by its corresponding probability and sum them up. In this case, we have the following outcomes and probabilities:

Successes: Probability:

0 243/3125

1 162/625

2 216/625

3 144/625

4 48/625

5 32/3125

To calculate the expected value, we multiply each outcome by its probability and sum them up:

Expected value = (0 * 243/3125) + (1 * 162/625) + (2 * 216/625) + (3 * 144/625) + (4 * 48/625) + (5 * 32/3125)

Simplifying this expression gives us:

Expected value = 0 + 0.26016 + 0.6912 + 0.27648 + 0.0384 + 0.03264

Expected value = 1.29888

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Answer: 1080 degrees

Hoped this helped :)

Answer:

Each number is being multiplied by 10

The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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