-0.056 + 0.27 = ?

Please show ALL of your work and how you got your answer! (-:

✨50 POINTS!!✨

Answer:

B

Step-by-step explanation:

The sum of the vectors drawn from the center of a regular n-sided polygon to its vertices is zero.

We can use vector addition and the properties of regular polygons to demonstrate that the sum of the vectors drawn from the center of a regular n-sided polygon to its vertices is zero.

Consider a regular polygon with n sides and center O. We can label the vertices as A1, A2, A3,..., An, where A1 is the first vertex in the opposite direction of O. Now, we can call the vector from O to A1 vector OA1, the vector from O to A2 vector OA2, and so on all the way up to vector OAn. This demonstrates that the sum of these vectors is zero.

OA1 + OA2 + OA3 +... + OAn = 0 Since complex numbers provide an elegant way to represent vectors in the plane, they can be used to simplify the calculations. We can allocate complex numbers to the vertices of the polygon by utilizing the n-th foundations of solidarity. These are the n-th roots of unity:

0 equals 1, 1, 2, 3,..., n1, where i is the imaginary unit and = cos(2/n) + isin(2/n).

When we take into account the coordinates of the vertex that corresponds to each vector OAi, we are now able to express it as a complex number. For instance, OAi can be written as xi + yii if Ai has coordinates (xi, yi).

The sum of the vectors can be rewritten using this notation as:

OA₁ + OA₂ + OA₃ + ... + OAₙ = (x₁ + x₂ + x₃ + ... + xₙ) + (y₁ + y₂ + y₃ + ... + yₙ)i

We know that the vertices A₁, A₂, A₃, ..., Aₙ lie on a normal polygon focused at O. Since the polygon is standard, the good ways from O to every vertex are something similar. In this manner, the amount of the x-directions of the vertices is zero, and the amount of the y-arranges is likewise zero.

We therefore have:

x₁ + x₂ + x₃ + ... + xₙ = 0

y₁ + y₂ + y₃ + ... + yₙ = 0

Subbing these qualities into the articulation for the amount of the vectors, we get:

OA₁ + OA₂ + OA₃ + ... + OAₙ = 0 + 0i = 0

In this manner, we have shown that the amount of the vectors drawn from the focal point of a customary n-sided polygon to its vertices is zero.

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Answer:

8

Step-by-step explanation:

18+46=64

87.5% of 64=56

64-56=8

56 take the bus

8 dont take the bus

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

Answer:

-1.25

Step-by-step explanation:

y=-1.25x+66.25

Answer:

It would be B. 5-3x

Step-by-step explanation:

This function had a constant rate of change and has a y int

\(\large\underline{\sf{Solution-}}\)

Given:

\(\sf\longmapsto \dfrac{1}{2}x+2 \geq x-1, x \in \mathbb{N}\)

Multiplying both sides by 2, we get:

\(\sf\longmapsto2\bigg( \dfrac{1}{2}x+2\bigg) \geq 2(x-1)\)

\(\sf\longmapsto x+4 \geq 2x-2\)

\(\sf\longmapsto x+4+-x\geq 2x-2-x\)

\(\sf\longmapsto 4\geq x-2\)

\(\sf\longmapsto 4+2\geq x-2+2\)

\(\sf\longmapsto 6\geq x\)

\(\sf\longmapsto x\leq 6, x\in\mathbb{N}\)

Therefore:

\(\sf\longmapsto x=\{1,2,3,4,5,6\}\ \ \red{Ans.}\)

Yes, Sara can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.

Given, that Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups.

One group is given a turkey to eat and the other group is not given anything to eat.

Sara asks the adults to start exercising at the same and to stop when they tire, measuring the time each adult stops exercising.

She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey.

We have to determine Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below.

Level of significance measures the unlikeliness of a hypothesis's against the measured reading.

0.05 is a common level of significance which depicts that there are 5% chances of a  type I error thereby rejecting a true null hypothesis in a one-way test.

In two way test, it depicts that there are 2.5% chances of a  type I error thereby rejecting a true null hypothesis.

It is the probability of rejecting a null hypothesis with a probability of test suffering an error of type based on the data, Sara can conclude that the difference is significant because when we are analyzing data and reach a statistically significant result then nothing or no event happens by chance.

Sara can conclude that the difference is significant because a two minutes difference is not likely to happen by chance.

In analyzing data, a statistically significant result is one that is not attributed to chance, that is, there is no way the event could have occurred by chance.

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Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Given:

For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.

To find:

The inequality that describes all the heights that are eligible to ride.

Solution:

Let h represents the heights that are eligible to ride.

For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.

\(h>36\)       ...(i)

For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.

\(h\leq 60\)       ...(ii)

Using (i) and (ii), we get

\(36<h\leq 60\)

Therefore, the required inequality is \(36<h\leq 60\).

Answer:

7 units

Step-by-step explanation:

(see attached for reference)

given two points (x₁, y₁) and (x₂, y₂), the formula for distance between two points is given as

Distance, D = √(  (x₂-x₁)² + (y₂-y₁)²  )

in our case, we are given

(x₁, y₁) = (-8,5)

(x₂, y₂) = (-1,5)

simply substitute the values into the equation above:

D = √(  (x₂-x₁)² + (y₂-y₁)²  )

= √{  [ (-1)-(-8) ]² + (5-5)²  }

= √{  [ (-1 + 8) ]² + (0)²  }

= √[ (7) ² ]

= 7 units (answer)

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

Answer:

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

----> by addition segment postulate

substitute the given values

solve for x

step 2

Find the value of VW

substitute the value of x

Step-by-step explanation:

Standard equation of the line which is parallel to the given line 4x-2y =8 and passes through the point (-2,8) is equal to y = 2x + 12.

As given in the question,

Given equation of the line which is parallel to the required equation of the line:

4x -2y = 8

⇒ 2y = 4x -8

⇒ y= 2x -4

Slope of the line by comparing with standard form y =mx +c , where m is the slope.

Slope 'm' = 2

Slope is same for the parallel lines.

Required equation of the line passes through (-2 ,8) with slope m = 2

y -y₁ = m(x-x₁)

⇒ y- 8 = 2(x-(-2))

⇒ y -8 = 2x +4

⇒ y= 2x +12

Therefore, standard equation of the line which is parallel to the given line 4x-2y =8 and passes through the point (-2,8) is equal to y =2x + 12.

The complete question is :

Write an equation of a line in standard form, that is parallel to the line

4x - 2y = 8 that passes through the point (-2, 8).

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Answer:

The answer is -21

Step-by-step explanation:

The elevation of the entrance of your room at Jules' Undersea Lodge is equal to -21 feet.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

It is given that , diver is 1 foot deeper than 2/3 of the elevation of the entrance. And the depth of diver is equal to -15 feet.

So , the diver is at depth under water = -15 feet

Let's assume that elevation of entrance is at x foot.

So , the algebraic expression representing the depth of diver is given by :

\(\frac{2}{3}\) × x - 1 = -15

Solving for the value of x or the elevation of entrance we get :

\(\frac{2}{3}\) x = -15 + 1

\(\frac{2}{3}\) x = -14

2x = -14 × 3

x = -42 / 2

x = -21 feet

Thus , the elevation of the entrance of your room at Jules' Undersea Lodge is equal to -21 feet.

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Answer:

55% in Decimal form: 0.55. 55% in Fraction form: 55/100. Hope this helps

Step-by-step explanation:

The statement that best defines the term "experiment" in the context of probability is (a) "A process that leads to only one of several possible outcomes."

An experiment is a process that is carried out to observe and study the outcome of an event or phenomenon. In probability, an experiment refers to a process that can have multiple outcomes, and the outcome cannot be predicted with certainty before the experiment is carried out.

For example, rolling a dice is an experiment in probability since it has multiple possible outcomes (rolling a 1, 2, 3, 4, 5, or 6) and the outcome cannot be predicted with certainty. Similarly, flipping a coin is also an experiment in probability since it can have two possible outcomes (heads or tails) and the outcome cannot be predicted with certainty.

On the other hand, option (b) is incorrect since a random trial whose outcome can be predicted on the basis of mathematical analysis is not an experiment but a deterministic process. Option (c) is also incorrect since a process that may or may not confirm a hypothesis does not define an experiment in the context of probability.

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Answer:

\(A' =(-y,x)\)

Step-by-step explanation:

Given

Represent point A as thus;

\(A = (x,y)\)

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

\(Pos = (y,x)\)

Then, y is negated to give A'

\(A' =(-y,x)\)

Answer:

11 bookshelves

Step-by-step explanation:

96/9 then round up if not whole

Answer:

I THINK the domain is

Negative infinity to infinity

and I THINK the range is..

0 to infinity

Step-by-step explanation:

im not sure im sorry if im wrong : ) hope this helps

Answer:

Step-by-step explanation:

negative infinity to infinity

0 to infinity

pt2

negative infinity to infinity

3 to infinity

Answer: 23 - 19 = 4

Step-by-step explanation:

Answer:

how many does eat cookies left??? what

Step-by-step explanation:

anyway, it should be 4 cookies i guess?

23 - 19 = 4

...unless this is like a trick question with bad grammar

Answer:

14988 feet

Step-by-step explanation:

To find the difference, subtract.

14949 - (-39)

= 14949 + 39

= 14988

Use "add the opposite" to change "minus a negative" to "plus a positive"

Answer:

Mark me as brainlist

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a×(2/7) = -1......( perpendicular to a line with a slope of   2/7)            because :     2x-7y =-42...y=(2/7)x+6    )      

a = -7/2         y=(-7/2)x+b

the line that passes through (6, -3) :- 3 = (-7/2)(6)+b

b =18

the equation is :  y  = (-7/2)x+18

A project to investigate the American West has been the Clark as well as Lewis Expedition, which was supported by the federal government.

The main goal of the mission was to study the Missouri and Columbia river in search of tributaries that would traverse from the heart of the nation to the Western Pacific.

This fleet's main goals are to investigate the Missouri River, investigate the newly acquired Lands, and discover a land way to the Pacific Ocean.

The Lewis and Clark Expedition represented the first time that Americans traveled this far out towards the West by sea and rivers.

Pike, who lost his life in the conflict, rose to fame among American soldiers. Lewis and Clark subsequently eclipsed him with his legacy. Presently, he is famed for his unsuccessful attempt to scale Pike's Peak.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer: 1331

Step-by-step explanation: v=lwh

The volume would be 1,331 cm cubed. I hope this helps, have a good day!

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)