Help! Use the identity of i^2=-1 to compute the powers of i and complete the table

Answer:

First, we need to determine the slope of the line going through the two points. The slope can be found by using the formula:  

m

=

y

2

−

y

1

x

2

−

x

1

Where  

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substituting the values from the points in the problem gives:

m

=

5

−

7

3

−

0

=

−

2

3

Now, we can use the point-slope formula to find an equation going through the two points. The point-slope formula states:  

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where  

m

is the slope and  

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope we calculated and the values from the first point gives:

(

y

−

7

)

=

−

2

3

(

x

−

0

)

We can also substitute the slope we calculated and the values from the second point giving:

(

y

−

5

)

=

−

2

3

(

x

−

3

)

We can also solve the first equation for  

y

to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is:  

y

=

m

x

+

b

Where  

m

is the slope and  

b

is the y-intercept value.

y

−

7

=

−

2

3

x

y

−

7

+

7

=

−

2

3

x

+

7

y

−

0

=

−

2

3

x

+

7

y

=

−

2

3

x

+

7

Since we have that y is directly proportional to x, then the relationship can be written like this:

Now, since y=12 when x=6, we have the following:

Therefore, the equation would be y = 2x.

Finally, if x=-30, then:

Answer:

2 : 3

Step-by-step explanation:

area of A = 6 × 3 = 18 units²

area of B = 9 × 3 = 27 units²

then ratio of areas

A : B = 18 : 27 = 2 : 3

p(0)=2

p(1)=2+1+2-1=4

p(2)=2+2+8-8=4

Answer:

I'm 90% sure it's B.

Step-by-step explanation:

sorry if its not correct-

Answer: figure b

Step-by-step explanation:

this is because all of figure b's sides are congruent but the other figures sides are different lengths

Answer:

Negative

Step-by-step explanation:

The given expression is

To solve the product, we have to use the distributive property

Then, we move all the terms to the left side to combine like terms

Now, we use the quadratic formula to find the solutions

Where a = 1, b = -5, and c = -204. Let's replace these values

There are two solutions

Without going too much into the proofs angle ACD is congruent to angle DBA.

If ACD is ~= DBA then

ACD = 54 degrees

Explanation:

The figure is a reflection. While orientation isnt preserved in reflections side lengths and angle measures are.

This means that both triangles have the same side length measures and have the same angle measures.

You are given the angle measures of one of the triangles. We also know both triangles are congruent since they both fit perfectly inscribed in the circle.

With this in mind you can prove that all the angles of each triangle are congruent.

Thus

ACD = 54 degrees

Answer:

3

Step-by-step explanation:

\(\cfrac{1}{4}\cdot 12\implies \cfrac{1\cdot 12}{4}\implies \cfrac{12}{4}\implies \cfrac{4+4+4}{4}\implies \cfrac{4}{4}+\cfrac{4}{4}+\cfrac{4}{4}\implies 1+1+1\implies 3\)

Answer:

c , − 1277

c − 170 °

Step-by-step explanation:

I did the math on paper and checked. :)

Answer:

1/4 is 0.25

1/25 is .04

1/6 is 0.16

1/3 is 0.3

Steps to calculate the area are shown below and the figure is attached below.

The steps of calculating the area of the given figure are,

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Given:

Cost of general admission is 9 dollars.

Cost of each ride is 3.5 dollars.

First, let's find the cost equation for the given conditions.

Let's fill the given table.

Cost for 5 rides is,

Hence, the cost for 5 rides is $26.5.

Similarly, cost for 8 rides is,

Hence, the cost for 8 rides is $37.

Then, the cost for 14 rides will be,

Hence, the cost for 14 rides is $58.

Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.

The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.

Best Cybersecurity Advice for 2023:

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The following are the questions that should be asked by an individual when cultivating a "you attitude" and modifying their messages to be receiver-centered:

a. Does the message reflect the high standards of a business professional?When composing a message, it is essential to maintain the appropriate level of professionalism, especially when addressing individuals in a professional setting. The message must reflect the high standards that are expected in the business world.

b. Is the receiver kept clearly in the picture?When creating a message, it is necessary to consider the receiver and their demands. The message should be receiver-centered, indicating that the recipient is the primary focus of the message. The message should aim to satisfy the receiver's demands.

c. Are the ideas expressed clearly and concisely?The message should be direct and understandable to the receiver. It is necessary to use concise language and prevent complex terminology. The aim is to make the message more understandable and efficient.

d. Is the message reflecting my opinion clearly enough?It is essential to remember that the message is not about the sender's viewpoint but rather the receiver's. It is necessary to ensure that the message reflects the recipient's point of view and satisfies their requirements. The message should be customized to the recipient's preferences.

e. Should the message be written using conjunctive adverbs? As a result, it is suggested to utilize them in the message. Summary Therefore, to develop a "you attitude" and modify the message to be receiver-centered, the sender should consider the recipient's requirements and preferences, maintain a professional tone, use concise language, and ensure that the message reflects the recipient's perspective. The message should also include conjunctive adverbs to enhance its coherence and structure.

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Answer:

3:7

Step-by-step explanation:

12:28

6:14

3:7

brainliest please

I gotta do something right now so I'll let you know in a bit when I am free

The crucial value Zg 22 required to create an 80% confidence interval is roughly 1.28, rounded to the closest hundredth place. The area in one tail outside of the 80% confidence interval (a/2) is 10%.

The a/2 (the area in one tail outside of the 80% confidence interval) and the critical value Zg 22, can be found as,

1. Determine the total area outside the confidence interval: Since the confidence interval is 80%, the area outside the interval is 100% - 80% = 20%.

2. Calculate a/2: Divide the area outside the interval by 2 to find the area in one tail. In this case, a/2 = 20%/2 = 10%.

3. Find the critical value Zg 22: To determine the critical value (Z-score) associated with the 80% confidence interval, look up the corresponding Z-score in a standard normal distribution table or use a calculator or software that can compute the inverse of the standard normal cumulative distribution function (also called the Z-score calculator or the percentile calculator). In this case, you will look for the Z-score that corresponds to 90% (80% confidence interval plus one tail area), which is approximately 1.28.

So, the area in one tail outside of the 80% confidence interval (a/2) is 10%, and the critical value Zg 22 needed to construct an 80% confidence interval is approximately 1.28, rounded to the nearest hundredth place.

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Answer:

Step-by-step explanation:

Okay, Here we go!

To figure this out, lets write the problem down.

f(x)=1/6 (2x-8) ; f(-11)

We substitute -11 for x

f(-11)= 1/6 (2(-11)-8)

Now we solve

2 x -11 =-22

1/6 (-22-8)

-22-8 = -30

-30/6= -5

f(-11) = -5

hope this helps!^^

Answer:

-5

Step-by-step explanation:

just put -11 in place of x

Whenever trigonometric functions are used in an expression or an equation, identities are helpful. These identities, which are trigonometric in nature, involve the sine, cosine, and tangent of one or more angles, Here the solutions are: \(\[\frac{\pi}{4}+n\pi\] ,or [225{}^\circ +n\cdot360{}^\circ\]\)

Trigonometry is a branch of mathematics that deals with relationships between angles and sides of triangles. Let's begin the solution by using the Trigonometry identity :The given trigonometry equation is\(\[ \cot \left(x-\frac{\pi}{2}\right)+1=0\]\).The formula of cot(x - π/2) is -tan(x).

Therefore,\\([\cot \left(x-\frac{\pi}{2}\right)=-\tan(x)\].\) So,\(\[ \cot \left(x-\frac{\pi}{2}\right)+1=0 \]\)can be rewritten as\(\[ -\tan(x)+1=0 \][\Rightarrow \tan(x)=1\]\) . tan is positive in the first and third quadrants.

Hence the solution lies in the first and third quadrants of the unit circle, and we were asked to write the numbers in simplified fractions or integers.

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Answer:

2    4/6     8/12

3  2/4      5/10

4    8/10     40/50

Step-by-step explanation:

Answer:

5(v-1)/9

Step-by-step explanation:

(2/9v) - (-1/3v + 5/9)

To find the opposite of -1/3v + 5/9, find the opposite of each term.

2/9v  - (-1/3v) - 5/9

The opposite of -1/3v is 1/3v.

2/9v + 1/3v - 5/9

Combine 2/9v and 1/3v to get 5/9v

5/9v - 5/9

Answer:

615,000

Step-by-step explanation:

Given that:

Whole number rounded to the nearest ten thousand is 620,000

Let x = the whole number

HTh__ TTh ____ Th ____ H ____ T ____ U

6_____ 2 ______ 0 ____ 0 ____ 0 ____ 0

The ten thousand digit is 0 ;

To round to the nearest 10 thousand, the thousand digit is rounded up to 1 and added to the ten thousand digit if it up to 5 or above and rounded down to 0 if below 5 with all subsequent digits(hundred, tens and unit) rounded to Zero..

Hence,

The whole number will could be range between :

615,000 - 619,999

Hence, the least possible value for the number is 615,000.

Answer:

c

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

X = 15

Step-by-step explanation:

Since these lines are parallel, this means that Angle 2 is equal to angles 5 and 3.

Since it is equal to 3, this means angle 2 + angle 4 = 180

2x+10+4x+80=180

6x+90=180

6x=90

x=15

Craig is accurate in that the supplied number line reflects the value of 1/3 since in the situation at hand, the red dot represents the value of 1/3.

Once someone outlines their solution and how they approached the challenge, clarifying questions should be asked.

List the parallels and differences between several approaches to solving the issue.

Find the mistake in a wrong response, and then provide proof to support your claim.

Create strong arguments and evaluate other people's reasoning.

What It Means: When kids can give us the right answer and explain how they arrived at it, we know they fully understand a topic.

So, in the given situation the red dot represents the value of 1/3, and thus Craig is correct that the given number line represents the value of 1/3.

Therefore, Craig is accurate in that the supplied number line reflects the value of 1/3 since in the situation at hand, the red dot represents the value of 1/3.

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When  (a, b) appears on a graph, it is said to be symmetric around the x-axis if (a ,b) also appears there at the same time. A graph that is symmetric around the x-axis is shown in the following illustration. A graph is said to be symmetric around the y-axis if and only if (a ,b) and (a, b) are both present on it.

We replace all the x's with -x and check to see if we get an equivalent formula to determine algebraically whether a graph is symmetric with regard to the y axis. Example: A) To make y = x2 symmetric with regard to the y axis, we substitute y = (-x)2 = x2 for y = x2.

Ordered pairs (x, y) and and exist in equations or functions that are symmetric to the origin (-x, y). The original equation is symmetric with respect to the origin if you swap -x for x and -y for y in the equation and simplify.

If we reflect a function's graph about the y-axis, we will get the same graph since some functions might be symmetrical about the y-axis. We may reflect various functions about the x- and y-axis and obtain the same graph. These two symmetry kinds are known as even and odd functions.

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