A cup slides off a 1.1\,\text m1.1m1, point, 1, start text, m, end text high table with a speed of 1.3\,\dfrac{\text m}{\text s}1.3
s
m
​
1, point, 3, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. We can ignore air resistance.
What was the cup's horizontal displacement during the fall?

On solving the provided question, we can say that in the triangle LM = 2*(IJ) x = |-6| = 6 and LM = 4x + 8 = 32 units

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given,

LM = 4x + 8 and IJ = 5x +22

in the triangle LM = 2*(IJ)

4x + 8 = 2*(5x + 22)

4x + 8 = 10x + 44

6x + 36

x = |-6| = 6

LM = 4x + 8 = 32 units

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Therefore, after answering the given query, we can state that The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.

The biggest common divisor of multiple non-zero integers is defined in mathematics as the highest significant integer the fact that divides the associated integers. The sum of two or more integers is the greatest common variable (HCF) of those numbers. It is commonly referred to as a most common divisor as a result. (GCF). To find the largest common divisor, take the prime values of each of the two (or a number of) integers and identify the shared prime factors. The largest common divisor after that is the sum of all the prime factors. The greatest common factor of a given number is determined by dividing it by the largest integer.

A. The polynomial 4x2 + 4x + 1 must be factored into its prime components in order to determine its GCF (Greatest Common Factor). However, using integers or rational numbers, this equation cannot be factored any further. Consequently, this polynomial's GCF is 1.

B. The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.

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Answer: d

Step-by-step explanation:

A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

14 + 5x

Step-by-step explanation:

I hope this helps!

Answer:

NO RUBOX

Step-by-step explanation:

XD I totally spelled that wrong XD

Among the measures of central tendency (mean, median, mode), the median must be an actual piece of data in the distribution.

The median is the middle value of a dataset when it is arranged in ascending or descending order. It represents the value that divides the dataset into two equal halves. Since it is based on the actual data points, the median must be one of the actual values in the distribution.

In contrast, the mean is calculated by summing all the data points and dividing by the total number of data points.

The mode represents the most frequently occurring value(s) in the dataset. These measures do not necessarily have to correspond to actual data points in the distribution.

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Answer:4699990

Step-by-step explanation:

I think I just guessed

Answer:

maybe 25

Step-by-step explanation:

If you rearrange the shape it makes it in to a square and you would just need to mutiply.

The area of the surface formed by revolving the curve y = x² from x = 1 to x = 2 about the x-axis is approximately 14.46 square units.

To find the area of the surface formed by revolving the curve y = x² from x = 1 to x = 2 about the x-axis, we can use the formula for the surface area of a solid of revolution:

S = ∫ 2πy ds

where ds is the arc length element and y is a function of x.

First, we need to express y as a function of x by solving for x in terms of y: x = ±√y. Since we are revolving the curve about the x-axis, we will use the positive root, x = √y.

Next, we need to find ds in terms of dx. We can use the arc length formula: ds = √(1 + (dy/dx)²)dx. Since y = x², dy/dx = 2x. Therefore, ds = √(1 + 4x²)dx.

Substituting x = √y and ds = √(1 + 4x²)dx, we get:

S = ∫ 2πy √(1 + 4x²)dx from x = 1 to x = 2

Replacing y with x², we have:

S = ∫ 2πx² √(1 + 4x²)dx from x = 1 to x = 2

We can evaluate this integral using u-substitution, where u = 1 + 4x² and du/dx = 8x:

S = ∫ 2πx² √u (1/8)(du/2x) from x = 1 to x = 2

Simplifying and evaluating the integral, we get:

S = 2π/3 [5√17 - 3√5] ≈ 14.46 square units.

Therefore, the area of the surface formed by revolving the curve y = x² from x = 1 to x = 2 about the x-axis is approximately 14.46 square units.

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Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in  6.34 days.

The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:

2 x 4 days = 8 days.

In general, we can use the growth formula:

P(t) = Po . 2^(t/Td)

Where:

P(t) = population at time t

Po = initial population

Td = doubling time

Parameters given:

Td = 4 days

P(t) = 3Po

Plug those parameters into the formula:

3 Po = Po . 2^(t/4)

3 = 2^(t/4)

log 3 = (t/4) log 2

t = 4 . log 3 / log 2 = 6.34 days.

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The velocity vector is v(t) = 2ti + j, the speed is s(t) = sqrt(4t^2 + 1), and the acceleration vector is a(t) = 2i.

To find the velocity vector, speed, and acceleration vector of the object, we differentiate the position vector with respect to time.

Given the position vector r(t) = t^2i + tj, we can differentiate it to find the velocity vector v(t) and acceleration vector a(t):

Velocity vector v(t):

Taking the derivative of r(t) with respect to t, we get:

v(t) = dr/dt = d/dt(t^2i + tj) = 2ti + j

Speed s(t):

The speed is the magnitude of the velocity vector. So, we calculate the magnitude of v(t):

s(t) = |v(t)| = |2ti + j| = sqrt((2t)^2 + 1) = sqrt(4t^2 + 1)

Acceleration vector a(t):

Taking the derivative of v(t) with respect to t, we get:

a(t) = dv/dt = d/dt(2ti + j) = 2i

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Answer:

5x+1/3=7

5x+1=7×3

5x+1=21

5x=21-1

5x=20

x=20/5

x=4

Answer: $108

Step-by-step explanation:
3% = 0.03
1800 x 0.03 x 2 = 108

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer:

x/1 is the same as x

Step-by-step explanation:

Product of multiplication of (2+√-25) and (4-√-100) is 58.

Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1).

For example, 6+7i is a complex number, where 6 is a real number and 7i is an imaginary number.

Given complex numbers

(2+√-25) and (4 -√-100)

√-25 = √(5² . -1) = 5√-1

i = √-1

√-25  = 5i

√-100 = √(10² . -1)

√-100 = 10i

Multiplying both numbers

(2+√-25) . (4 -√-100)

then

= (2 + 5i) . (4 - 10i)

Using FOIL method

(a + b)(c + d) = ac + ad + bc + bd

= 8 - 20i + 20i - 50i²

= 8 - 50i²

i² = -1

= 8 + 50

= 58

Hence, 58 is the product of multiplication of (2+√-25)(4-√-100)

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The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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The error expression of  |A - N| in the given problem is: Absolute Error

The absolute error is gotten by subtracting the true value from the measured value. The answer is normally expressed as ± or with an absolute value sign. The absolute error equation is expressed as: Absolute error = |measured value - true value|

Relative error is defined as a measurement of error that depends on the absolute error of a measuring tool as well as a measured value. Relative error can thus be defined as a decimal or as a percentage.

Now, we are told that

A is an actual value.

N is near the value,

From the definition of absolute error, we can clearly state that |A - N| is known as absolute error.

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A variable is a named memory location whose value can vary. It is a fundamental concept in computer programming as it allows programmers to store and manipulate data in their programs.

Variables are typically assigned a data type, such as integers, strings, or booleans, which determines the kind of data that can be stored in the variable. Variables can be used to store input from the user, perform calculations, and store results. They can also be used to control the flow of a program through conditional statements and loops. Overall, variables are an essential building block for programming and allow for the creation of dynamic and responsive programs.

A variable is a named memory location whose value can vary. In programming, variables are used to store and manipulate data, such as numbers, text, or other information. When a variable is declared, the computer reserves a specific portion of memory to store its value. Throughout the execution of a program, the value of a variable can be changed or updated as needed. This allows programmers to write flexible and dynamic code, making it easier to adapt to different scenarios and user inputs. Variables are essential in programming and are used in nearly every type of application or system.

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28 different even numbers can be formed using 1,2,3,4 and 5 that are less than 500.

To form the even number from a combination of five different numbers 1 to 5 and the even number less that will be formed from such a combination are less than 500. Therefore, in this scenario, 28 different event numbers will be formed. The cases to formed the even number from 1,2,3,4 and 5 are given below:

Case 1: There is only one digit in the number.

The only even integers in this situation are 2 and 4, adding up to a total of 2.

Case 2: There are exactly two digits in the number.

In this instance, the first digit must be one of the other four permitted digits and the last digit must be either 2 or 4, for a sum of 2*4=8.

Case 3: There are exactly three digits in the number.

In this instance, the middle digit must be one of the other four permitted digits, and the last digit must either be 2 or 4.

The total will be 2*3*2=12 if the middle digit is not 5, which means the first digit must be one of two digits other than the final two digits and 5.

As a result, there exist 28 even numbers with the digits 1, 2, 3, and 5 that are less than 500.

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Slope-intercept form is y = 21.

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

Given that,

The line is horizontal. It means slope of this line is zero. We can use the point-slope form for a linear equation since we know the slope and the point (15, 21).

Point-slope form: \((y-y_{1}) = m(x-x_{1})\)

Where,

m = slope and \((x_{1}, y_{1})\) is the points.

Then,

\((y-y_{1}) = m(x-x_{1})\)

\((y-21) = 0(x-15)\)

\(y-21 = 0\\y=21\)

Hence, the Slope-intercept form is y = 21.

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Buffalo Mild Wings offers the lowest price per wing.

Lowest Price:

Demands for the lowest possible price are more commonly seen in markets with limited liquidity or low trading volume, or from traders in companies with very small market caps. This is because investors trading illiquid securities are less likely to fill buy and sell orders. Markets for less traded securities are more limited and other parties can charge prices that may not be ideal for investors. For example, investors who want to trade currency options in foreign currencies (i.e. currencies other than dollars, euros, pounds or yen) often use the lowest possible price.

According to the Question:

Given:

Buffalo Bills has 8 wings for $7.

Buffalo Mild Wings has 12 wings for $10.

Wingers has 20 wings for $17.

To Find:

Which restaurant offers the lowest price per wing?

Solution:

Find the price per wing in Buffalo Bills:

8 wings = $7

1 wing = 7 ÷ 8

1 wing = $0.875

Find the price per wing in Buffalo Mild Wings:

12 wings = $10

1 wing = 10 ÷ 12

1 wing = $0.833

Find the price per wing in Wingers:

20 wings = $17

1 wing = 17 ÷ 20

1 wing = $0.85

Now,

Comparing  $0.875 , $0.833 and $0.85:

$0.833 < $0.85 < $0.875

⇒ $0.833 is the cheapest

⇒ Buffalo Mild Wings is the cheapest

Answer: Buffalo Mild Wings offers the lowest price per wing

Complete Question:

Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 8 wings for $7. Buffalo Mild Wings has 12 wings for $10. Wingers has 20 wings for $17. Which restaurant offers the lowest price per wing?

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When arranging indistinguishable objects in such a way that no two objects are in the same row or column, the number of possible arrangements depends on the dimensions of the grid.

The number of ways to arrange indistinguishable objects without any repetitions in a grid, such that no two objects are in the same row or column, depends on the dimensions of the grid. Let's assume the grid has M rows and N columns. In this case, the number of possible arrangements can be determined using combinatorics.

To find the total number of arrangements, we start with the first column. There are M choices for the first object in this column. Moving to the second column, there are M-1 choices since we need to avoid repetition within the same row. Continuing this process, the number of choices decreases by 1 for each subsequent column.

Therefore, the total number of arrangements can be calculated as M x (M-1) x (M-2) x ... x (M-N+1), where N is the number of columns. This can be further simplified as M! / (M-N)!, where "!" represents the factorial operation.

In conclusion, when arranging indistinguishable objects in a grid such that no two objects are in the same row or column, the number of possible arrangements depends on the dimensions of the grid. By applying combinatorial principles, the total number of arrangements can be calculated using the formula M! / (M-N)!.

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Answer:

Area = 114 m2

Step-by-step explanation:

Area of the Figure = Area of Rectangle ABCD - Area of Rectangle HGFE

Area of the Figure = 12*14 - 9*6 = 168 - 54 = 114

The cardinality of the subgroup generated by P is the number of distinct points in this list. However, since the list repeats after some point, we can conclude that the subgroup generated by P has a cardinality of 6.

To find the points that satisfy the equation y^2 = x^2 + ax + b (mod p) with the given parameters, we can substitute the values of a, b, and p into the equation and calculate the points.

Given parameters:

a = 1

b = 4

p = 7

The equation becomes:

y^2 = x^2 + x + 4 (mod 7)

To find the points that satisfy this equation, we can substitute different values of x and calculate the corresponding y values. We start with the point P = (0, 2), which is given.

Using point addition and doubling operations in elliptic curve groups, we can calculate the multiples of P:

1P = P + P

2P = 1P + P

3P = 2P + P

4P = 3P + P

Continuing this process, we can find the multiples of P. However, since the given elliptic curve group is defined over a finite field (mod p), we need to calculate the points (x, y) in modulo p as well.

Calculating the multiples of P modulo 7:

1P = (0, 2)

2P = (6, 3)

3P = (3, 4)

4P = (2, 1)

5P = (6, 4)

6P = (0, 5)

7P = (3, 3)

8P = (4, 2)

9P = (4, 5)

10P = (3, 3)

11P = (0, 2)

12P = (6, 3)

13P = (3, 4)

14P = (2, 1)

15P = (6, 4)

16P = (0, 5)

17P = (3, 3)

18P = (4, 2)

19P = (4, 5)

20P = (3, 3)

21P = (0, 2)

The multiples of P in the given elliptic curve group are:

(0, 2), (6, 3), (3, 4), (2, 1), (6, 4), (0, 5), (3, 3), (4, 2), (4, 5), (3, 3), (0, 2), (6, 3), (3, 4), (2, 1), (6, 4), (0, 5), (3, 3), (4, 2), (4, 5), (3, 3), ...

Therefore, the cardinality of the subgroup generated by P is 6.

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Answer:

B I'm pretty sure its been a while if I wrong in sorry

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

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{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}