the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?

The statement is false. The arc length of the curve defined by x = 4(3 + y)² on the interval [1, 4] is not approximately 131 units.

To find the arc length of a curve, we use the formula ∫ √(1 + (dx/dy)²) dy, where the integral is taken over the given interval.

In this case, the equation x = 4(3 + y)² represents a parabolic curve. By differentiating x with respect to y and substituting it into the arc length formula, we can calculate the exact arc length over the interval [1, 4].

However, it is clear that the arc length of the curve defined by x = 4(3 + y)² cannot be approximately 131 units, as this would require a specific calculation using the precise integral formula mentioned above.

Therefore, the statement is false, and without further calculations, we cannot determine the exact arc length of the given curve on the interval [1, 4].

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The required probability density function of y is:f_y(y) = f_x(log(y)) * |1/y|f_y(y) = f_x(log(y)) / y

f x and y as follows:f_y(y) = f_x(x) * |(dx/dy)|if(a) g(x) = |x|

We have to find the density fy(y) of the random variable y = |x| in terms of fx(x).Solution:When x is negative, we can write x = -yWhen x is positive, we can write x = y

So the required probability density function of y is:f_y(y) = f_x(-y) + f_x(y) * |(d(-y)/dy)|f_y(y) = f_x(-y) + f_x(y) * |-1|f_y(y) = f_x(-y) + f_x(y)Similarly, let's see for part b.if(b) g(x) = e^U(x)Given, random variable y = g(x), we can write the relationship between the probability density functions of x and y as:f_y(y) = f_x(x) * |(dx/dy)|We can find the value of x in terms of y as follows:x = log(y)The derivative of log(y) w.r.t y is 1/y

we have expressed the density fy(y) of the random variable y = g(x) in terms of fx (x) for (a) and (b) as follows:for (a) f_y(y) = f_x(-y) + f_x(y)for (b) f_y(y) = f_x(log(y)) / y.

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Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.

In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.

Here,

In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.

As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.

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Alphonso signed a contract with the martial arts training studio called "Champions Ta-Kwon-Do" that contained a liability waiver clause.

The clause stated that the studio would not be held responsible for any injuries or damages suffered by the participants. Alphonso agreed to the contract by signing it, despite his initial reluctance.

However, Alphonso experienced an injury while participating in a sparring session at the studio due to a water spill on the floor, which was the fault of Champions Ta-Kwon-Do. Alphonso now wishes to sue the studio for his injuries.

The enforceability of the liability waiver clause in the contract depends on several factors, including the jurisdiction's laws and regulations governing such waivers, as well as the specific circumstances surrounding the contract's formation.

In general, liability waivers are not always absolute and can be subject to scrutiny by courts.

While Alphonso did sign the contract, it may be argued that the waiver clause is unconscionable or against public policy if it seeks to absolve Champions Ta-Kwon-Do from liability for their own negligence or intentional wrongdoing.

Courts may consider factors such as the bargaining power between the parties, any undue influence exerted by the studio, the clarity of the waiver language, and the nature of the injury suffered.

Additionally, the court may assess whether the waiver provision was prominently displayed and whether Alphonso had a reasonable opportunity to negotiate or seek legal advice before signing.

It is advisable for Alphonso to consult with a qualified attorney who specializes in personal injury law. The attorney can evaluate the specific laws applicable in the jurisdiction and the facts of the case to provide accurate legal advice regarding Alphonso's chances of pursuing a lawsuit against Champions Ta-Kwon-Do despite the signed contract.

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Answer:

It means that any of the 3 numbers can be the size of the small pizza.

The given sequence is 460, 451, 442,...

Let's subtract to find the difference in the sequence.

The difference is -9 (d = -9).

Let's use the formula for arithmetic sequences to find the 37th term (n = 37).

Where a1 = 460, n = 37, and d = -9.

Answer:

jhfjhfhfhkjfskjfshfskjjh

Step-by-step explanation:

Answer:

D. x. x^7 . x^-4

Step-by-step explanation:

A. X^5 . X^-4 .X^2=X^(5-4+2)= X^3

B. X^-2 .X^9 .x^-4=X^(-2+9-4)= X^3

C.x^0 . x^10 . x^-7=X^(0+10-7)= X^3

D. x. x^7 . x^-4=X^(1+7-4)= X^4

Answer: x = -4 and x = 2.

To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.

We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:

x^2 + 2x - 8 = (x + 4)(x - 2) = 0

Setting each factor to zero, we get:

x + 4 = 0 or x - 2 = 0

Solving for x in each equation, we get:

x = -4 or x = 2

So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

8: C

9: D

10: C

11: D

Step-by-step explanation:

On number 8, the pattern is by starting from 3, and squaring it. Then you take that square and square it again. So 3 squared is 9, and then you square 9 which is 9 times 9 giving you 81. Then you square 81 giving you 6561.

9: Negative exponents work by flipping the number upside down, and then doing normal exponential work on the now denominator.

If the number is 5 to the power of -3, you are flipping 5 to 1/5 and then doing 5 to the power of 3 which is 5x5x5 giving you 125. Therefore the answer would be 1/125.

10 is the same thing as number 9 except backwards, so you flip 1/2^3 to 2^-3

11 is similar, except you have 3.471 times 1/10000

So you add 4 zeros in front of the 3.471 turning it into 0.0003471

Answer:

I think you have it

Step-by-step explanation:

It's not -4.44, and if it was -3.14 it would be closer to the -3 tick on the line. With the negative square root of 17 being 4.12 it's not that either. -11/3 is 3.6666667 or something along those lines so it would be closer to the -4 tick on the line, so I'm pretty sure you got it.

The firm's long-run profit-maximizing levels of x1 and x2 are x1 = 3 and x2 = 6, respectively. To find the long-run profit-maximizing levels of x_(1) and x_(2), we need to maximize the firm's profit function.

Profit is given by the formula:
Profit = Revenue - Cost
In this case, the production function is f(x_(1), x_(2)) = 5x_(1)x_(2) and the price of the output (p) is 3. The costs of inputs are w_(1) = 30 and w_(2) = 75. First, we find the revenue function:
Revenue = p * f(x_(1), x_(2)) = 3 * 5x_(1)x_(2) = 15x_(1)x_(2)
Next, we find the cost function:
Cost = w_(1)x_(1) + w_(2)x_(2) = 30x_(1) + 75x_(2)
Now, we find the profit function:
Profit = 15x_(1)x_(2) - (30x_(1) + 75x_(2))
To maximize profit, we find the partial derivatives with respect to x_(1) and x_(2) and set them equal to zero:
∂(Profit)/∂x_(1) = 15x_(2) - 30 = 0
∂(Profit)/∂x_(2) = 15x_(1) - 75 = 0
Solving these equations for x_(1) and x_(2):
x_(2) = 30 / 15 = 2
x_(1) = 75 / 15 = 5
So, the long-run profit-maximizing levels of x_(1) and x_(2) are x_(1) = 5 and x_(2) = 2.

To find the firm's long-run profit-maximizing levels of x_(1) and x_(2), we need to use the following formula:
MP1/P1 = MP2/P2
Where MP1 and MP2 are the marginal products of factors x1 and x2, P1 and P2 are the prices of factors x1 and x2, and MP/P represents the marginal product per dollar spent on that factor.
In this case, we have:
MP1 = 5x2
P1 = w1 = 30
MP2 = 5x1
P2 = w2 = 75
So, we can rewrite the formula as:
5x2/30 = 5x1/75
Simplifying, we get:
x2 = 2x1
Now, we need to find the values of x1 and x2 that maximize profit. To do this, we need to use the production function and the prices of the factors to calculate the total cost and revenue, and then find the level of production that maximizes the difference between revenue and cost (i.e., profit).
The cost function is:
C = w1x1 + w2x2
C = 30x1 + 75(2x1)
C = 180x1
The revenue function is:
R = px
R = 3(5x1x2)
R = 15x1(2x1)
R = 30x1^2
The profit function is:
π = R - C
π = 30x1^2 - 180x1
To find the profit-maximizing level of x1, we need to take the derivative of the profit function with respect to x1 and set it equal to zero:
dπ/dx1 = 60x1 - 180 = 0
x1 = 3
Substituting x1 = 3 into the production function, we get:
x2 = 2x1 = 6
Therefore, the firm's long-run profit-maximizing levels of x1 and x2 are x1 = 3 and x2 = 6, respectively.

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The total amount that he needs to pay is $2,52,000. The interest is  $72,000.

What is the simple interest rate?

Simple Interest (S.I.) is a method for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest.

Given that the cost tractor is $160,000.

The amount vat is $20,000.

The total amount that the farmer needs to pay is ($160,000 + $20,000) = $180,000.

The formula of simple interest is I = Prt

P = principal

r = rate of interest

t = time

P = $180,000, r = 10% = 0.10, t = 60 months = 60/12 years = 4 years

The interest rate is

I = $180,000 × 0.10 × 4

I = $72,000

The total amount that he needs to $72,000 + $180,000 = $2,52,000.

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Answer:

91m

Step-by-step explanation:

because the formulae of distance is speed times the given time

I.e. d=s*t

s= speed =7 m/s

t = time = 13 sec

Answer:

the answer is D

Step-by-step explanation:

sorry if I did it wrong

Answer:

D. Yes because the sum of two lengths of any two sides...etc.

This is your answer

Step-by-step explanation:

side1  m = 3

side2  m = 7

2 smaller sides = ( 3 + 7)  = 10

10 is larger than 8

proof Pythagoras theorem

3^2 + 7^2 = c^2

sqrt 9 + sqrt 49 = c^2

c^2 = sqrt 58 = 7.6 = 8 rounded to 1 significant figure.

Proof 2

show ratios of each side  3 : 7 : 9

The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed.  The height can sometimes be such radius but this should be proved from the equation height of a triangle equation

isosceles  not using Pythagoras = hᵇ = √ (a² - (0.5

isosceles using Pythagoras=  h = 2 * area / b

obtuse height formula =Area of an obtuse-angled triangle = 1/2 × base × height. Therefore, the height of the obtuse triangle can be calculated by: Height = (2 × Area)/base Substituting the values, we get:.

So as we know Given a=3 and c=8, shows a higher amount for 7 but stays 7 in all circumstances of 1significant figure just like 8 stayed rounded down when using round figure just 7.  We get;

b = 7.4162

∠α = 22.024° = 22°1'28" = 0.3844 rad

∠β = 67.976° = 67°58'32" = 1.1864 rad

h = 2.78107

area = 11.1243

perimeter = 18.4162

inradius = 1.2081

circumradius = 4

When the circumradius is 4 and we need the ratio to the inradius

this means the ratio is R : r as;

3/4 :7/4 : 8/4  = 18/4 / 7/2 = 9/7 which shows us the cr radius to the in radius ratio.

R:r therefore = 9/7

Answer:

509.94

Step-by-step explanation:

That's the answer!

trust me! Correct me if I'm wrong

don't worry I solved it so many

times and that's the answer

hope it helps you ❤

follow me for more!

first on is 98.47

second one is 411.47

Hop this helps :T

The requreid equation in the form x-b=c that has the solution set x <= -14 is:

x - (-14) = 0 or x + 14 = 0

The absolute value of a number is always positive, so the absolute value of any number is greater than or equal to 0. Therefore, the absolute value of any number will never be less than -14.

To write an absolute value equation in the form x-b=c, we need to isolate the absolute value on one side and simplify.

|x| <= -14 can be rewritten as:

x <= -14 (since the absolute value of any number is always greater than or equal to 0)

So the equation in the form x-b=c that has the solution set x <= -14 is:

x - (-14) = 0 or x + 14 = 0

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Answer:

The answer is A.

Answer:

b + c = 7

8 b + 15 c = 70

Or A

Step-by-step explanation:

And I have proof for those with trust issues ;'D

The value of x is 11 and ∠LMN = 190°

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form   ax + b = 0 are solved using simple algebraic techniques.

Solution:

Since, MO bisects the angle

we can say that, ∠LMO = ∠OMN

6x + 19 = 9x - 14

3x = 33

x = 11

so, ∠LMO = 66 + 19 = 85°

Therefor the ∠LMN = 190°

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Answer:

-4+7, -4 - (-7)

Step-by-step explanation:

The given expression can be simplified:

-(4+(-7)) = -(4-7) = -(-3) = 3

The equivalent choices will all equal 3. Testing each choice:

-4+7 = 3

-4+(-7) = -4-7 = -11

4+(-7) = 4 - 7 = -3

-4 - (-7) = -4 + 7 = 3

Only the first and last choice are equivalent to the original expression.

The total surface area of the cylinder with a height of 5 cm and radius of 2 cm is 28π cm^2.

The total surface area of a cylinder can be calculated using the formula: 2πrh + 2πr^2, where r is the radius and h is the height of the cylinder.

Given that the height (h) of the cylinder is 5 cm and the radius (r) is 2 cm, we can substitute these values into the formula:

Total Surface Area = 2πrh + 2πr^2

= 2π(2)(5) + 2π(2)^2

= 20π + 8π

= 28π cm^2

Therefore, the total surface area of the cylinder with a height of 5 cm and radius of 2 cm is 28π cm^2.

The correct option is:

a. 28π cm^2

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Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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We cannot determine the exact amount of fencing Sam needs.

To find out how many feet of fencing Sam needs, we need to calculate the total perimeter of his garden.

First, let's find the length of the two sides that are already near a fence. Since these sides are already taken care of, we don't need to include them in our calculation.

Now, let's focus on the other two sides that are 15 and 23 feet long. To find the total perimeter, we need to add the lengths of all four sides together.

So, the total perimeter is 15 + 23 + (length of the two sides near the fence) + (length of the other side near the fence).

Since we don't know the length of the sides near the fence, we cannot calculate the exact length of the total perimeter.

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The equation of a straight line is written as

y = mx + c

Where

m represents slope

c represents y intercept

The given equation is expressed as

3x + y = 3

y = 3 - 3x

y = - 3x + 3

Comparing the above equation with the slope intercept equation,

y intercept = 3

The x intercept is the value of x when y = 0

Putting y = 0 in the equation, it becomes

0 = - 3x + 3

3x = 3

x = 3x/3

x = 1

x intercept = 1

Answer:

3h³ - h² - 10h

Step-by-step explanation:

(5h​³​​−8h)+(−2h​​³−h​²-2h)

= 5h³ - 8h - 2h³ - h² - 2h

= 3h³ - h² - 10h

So, the answer is  3h³ - h² - 10h

Answer:

--------------------------

Simplify the expression in below steps:

Answer:

x = 155°

Step-by-step explanation:

following the properties of triangles and flat angle.

Hope this helps

No, the data does not have any extreme outliers. The histogram does not show any outliers because all of the data is grouped within the same range of values.

For example, if there were an outlier present, it would show up as a spike outside of the normal range of the data in the histogram.

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Answer:

17 = x/18 and 23 = .84/n

Step-by-step explanation:

Answer:

17. x =18

23. n =0.84

Step-by-step explanation:

17.

\(\frac{6}{5} = \frac{x}{15} \\\\\frac{x}{15}=\frac{6}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}15\\\\\frac{15x}{15}=\frac{6\cdot \:15}{5}\\\mathrm{Simplify\:}\frac{15x}{15}:\quad x\\\\\mathrm{Simplify\:}\frac{6\cdot \:15}{5}:\quad 18\\\\x=18\\\)

23.

\(\frac{2}{0.21}=\frac{8}{n}\\\\ \mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\\\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\times \:d=b\times \:c\\\\2n=0.21\times \:8\\\\\mathrm{Simplify\:}0.21\times \:8:\quad 1.68\\\\2n=1.68\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2n}{2}=\frac{1.68}{2}\\\\Simplify\\\\n=0.84\)