Identify an equation in point-slope from for the line perpendicular to y=-4x-1 that passes through (-2, 4)​

Identify An Equation In Point-slope From For The Line Perpendicular To Y=-4x-1 That Passes Through (-2,

Answers

Answer 1

Answer:

y - 4 = ¼(x + 2)

Step-by-step explanation:

Point-slope form equation is given as y - b = m(x - a). Where,

(a, b) = a point on the line = (-2, 4)

m = slope = ¼ (sleep of the line perpendicular to y = -4x - 1 is the negative reciprocal of its slope value, -4 which is ¼)

✔️To write the equation, substitute (a, b) = (-2, 4), and m = ¼ into the point-slope equation, y - b = m(x - a).

y - 4 = ¼(x - (-2))

y - 4 = ¼(x + 2)

None of the options are correct


Related Questions

Cho hàm số f(x, y) = ln(x
2 + y
2
).
a) Tính f

x
, f′
y
;
b) Tính f

x
(2; 1), f′
y
(2; 1).

Answers

Answer:

Sorry, I can't understand in which language you have written......

Step-by-step explanation:

So if you tell me the question in English then I can answer

six options. Each of these six options leads to a menu with four options. For each of these four options, three more options are available. For each of these three options, another three options are presented. If a person calls the 800 number for assistance, how many total options are possible

Answers

Answer:

Hence the total number of possible options available to a person who calls the 800 number is 216.

Step-by-step explanation:

Given that the caller 10 800 telephone system has six options. For each of these four options, three more options are available. For each of these three options, another three options are presented.

Hence the total number of possible options available to a person who calls the 800 number = [tex]6 \times 4 \times 3 \times 3 = 216[/tex].

If 128x is a perfect square number what is the least value of x

Please answer the question fast​

Answers

Answer:

in a square all sides are equal so x has to equal

128

Hope This Helps!!!

The time for a professor to grade a student’s homework in statistics is normally distributed with a mean of 13.3 minutes and a standard deviation of 2.0 minutes. What is the probability that randomly selected homework will require less than 17 minutes to grade?

Answers

Answer:

0.96784

Step-by-step explanation:

17-13.3/2

=1.85

p(x<1.85)

=0.96784

The probability that randomly selected homework will require less than 17 minutes to grade is 0.9678.

Mean [tex]\mu[/tex]=13.3 minutes

Standard deviation[tex]\sigma[/tex]=2 minutes

What is a z-score?

The value of the z-score tells you how many standard deviations you are away from the mean.

So, the z-score of the above data

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{17-13.3}{2}[/tex]

[tex]z=1.85[/tex]

From the standard normal table, the p-value corresponding to z=1.85

Or, p(x<1.85)=0.9678 or 96.78%

Hence, the probability that randomly selected homework will require less than 17 minutes to grade is 0.9678.

To get more about the z-score visit:

https://brainly.com/question/25638875

Not sure what to pick

Answers

Answer:

option d is correct answer

Answer:

Step-by-step explanation:

D looks good

Which parabola opens upward?

y = 2x – 4x^2 – 5

y = 4 – 2x^2 –5x

y = 2 + 4x – 5x^2

y = –5x + 4x^2 + 2

Answers

Answer:

D) y = –5x + 4x^2 + 2

Step-by-step explanation:

You can tell by the first number being positive or negative. To check use Desmo graphing calculator and enter your equation for next time.

Y=2x-8 and intercept at (-4,-1)

Answers

Answer:

y=2x+7

Step-by-step explanation:

y=2x-8

2 is the gradient.

-4 is x

-1 is y

-1=2(-4)+c

-1=-8+c

-1+8=c

c=7

therefore,

y=2x+7

A trucking company buys 25,275 gallons of gasoline. The federal excise tax is $0.195 per gallon. Find the amount of excise tax due. (Round your answer to the nearest cent if necessary)​

Answers

Answer: 5,055

Step-by-step explanation

multiply the amount of gallons purchased by tax and round up

$4928.625 is the answer.

An Excise tax is an indirect tax, usually paid by the manufacturer or retailer of the product. then passes along in the price of the product to the consumer.

Amount of gasoline = 25,375 gallons.

The Excise tax = $0-195/gallon.

The amount of Excise tax dece = 25.875 X $0.195

= $4928.625

Se the amount of Excise tax due for 25975 gallons of gasoline is $ 4928.625

what is Excise tax?

Excise tax is generally a tax levied on the sale of a particular good or service or for a particular purpose. State excise taxes are usually levied on the sale of gasoline, air tickets, heavy trucks, road tractors, tanning beds, tires, cigarettes, and other goods and services.

Excise can be used to charge prices for externalities or to discourage the consumption of goods by others. They can also be used as royalties to generate income from people who use certain government services. Income should be used to maintain those government services.

Learn more about excise tax here:https://brainly.com/question/2871942

#SPJ2

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 528 hours. Round your answer to four decimal places.

Answers

Answer:

0.7031 = 70.31% probability of a bulb lasting for at most 528 hours.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 520 hours.

This means that [tex]\sigma = 15, \mu = 520[/tex]

Find the probability of a bulb lasting for at most 528 hours.

This is the p-value of Z when X = 528. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{528 - 520}{15}[/tex]

[tex]Z = 0.533[/tex]

[tex]Z = 0.533[/tex] has a p-value of 0.7031

0.7031 = 70.31% probability of a bulb lasting for at most 528 hours.

what are all the factos of 36 ​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

{1, 2, 3, 4, 6, 9, 12, 18, 36}

»»————- ★ ————-««  

Here’s why:

A factor is a whole number that is multiplied by another to have a product have another number.

⸻⸻⸻⸻

The Factors Are:

1 (1 * 36 = 36)2 (2 * 18 = 36)3 (3 * 12 = 36)4 (4 * 9 = 36)6 (6 * 6 = 36) 9 (9 * 4 = 36)12 (12 * 3 = 36)18 (18 * 2 = 36)36 (36 * 1 = 36)

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

heeeeeeeeeeeeelp meee

Answers

Answer: i need the formula and i got you.

Step-by-step explanation:

PLEASE HELP ME ASAP GIVING 10+ POINTS

The actual height of the building shown in the model is 150 feet What is the actual width of the building shown in the model?​

Answers

Answer:

60 ft

Step-by-step explanation:

The answer has to be in feet units

Now that we know the height is 5 cm equivalent to 150 feet, what is the width of the building in feet units

5 cm = 150 ft

Rule: multiply cm by 30 to get the ft

2 cm = ?

2 cm × 30 = 60 ft

2 cm = 60 ft

Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-4, 7) (6, -33) (10, -105)
HELP PLZ

Answers

Answer:

[tex]y= -x^{2} -2x+15[/tex]

Step-by-step explanation:

 

[tex]y= -x^{2} -2x+15[/tex]

Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir
bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
ОА.
3.25x + 13.50 S 40
OB.
3.25x + 13.50 240
Oc.
13.50x +3.25 S 40
OD.
13.50x +3.25 2 40

Answers

Answer:

A. 3.25x + 13.50 ≤ 40

The number of bracelets is x. It's a variable.

The 13.50 is a constant.

The total needs to be less than or equal to 40 because that's all the money he has.

Answer:

3.25x + 13.50 ≤ 40

Step-by-step explanation:

For this problem, you have to directly make the equation. Using the givens, it shows that he has only 40 dollars, and wants to buy only one hat for 13. 50. He wants to buy his friends braclets 3.25, but since you dont know how many friends its for, you will leave it as x.

There is only 40 dollars so you will use: ≤

The answer will be:

3.25x + 13.50 ≤ 40

Hope this helps.

Help asap please!!..

Answers

Answer:

9x² - 4/3x + ¼

Step-by-step explanation:

(3x - ½)²

(3x - ½)(3x -½)

9x² - ⅔x - ⅔x + ¼

9x² - 4/3x + ¼

Find the value of x (please)

Answers

9514 1404 393

Answer:

  (a)  21

Step-by-step explanation:

The product of the lengths to the near and far circle intercepts are the same for the two lines. For the tangent, the near and far intercepts are the same point, so we have ...

  (36)(36) = (27)(27+x)

  48 = 27+x . . . . . . . . . . divide by 27

  x = 21 . . . . . . . . subtract 27

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 120 and standard deviation of 18 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure

Answers

Answer:

The  percentage of adults in the USA have stage 2 high blood pressure=98.679%

Step-by-step explanation:

We are given that

Mean, [tex]\mu=120[/tex]

Standard deviation, [tex]\sigma=18[/tex]

We have to find percentage of adults in the USA have stage 2 high blood pressure.

[tex]P(x\geq 160)=P(Z\geq \frac{160-120}{18})[/tex]

[tex]P(x\geq 160)=P(Z\geq \frac{40}{18})[/tex]

[tex]P(x\geq 160)=P(Z\geq 2.22)[/tex]

[tex]P(x\geq 160)=1-P(Z\leq 2.22[/tex]

[tex]P(x\geq 160)=0.98679[/tex]

[tex]P(x\geq 160)=98.679[/tex]%

Hence,  the  percentage of adults in the USA have stage 2 high blood pressure=98.679%

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis: y=x6, y=1 about y=6.

Answers

Answer:

mehoimehoihoi

Step-by-step explanation:

What is the segment

Parallel lines

Answers

Line AH and line BG are parallel

Which among the following numbers could be the probability of an event? 1,1.4,-0.54,.32,.02,0

Answers

4 Answers: Choice A) 1 Choice D) 0.32 Choice E) 0.02Choice F) 0

In other words, choices B and C are the non-answers while everything else is an answer.

==============================================================

Explanation:

Let p represent the probability of an event. The value of p must be between 0 and 1, inclusive of both endpoints. Symbolically, we can write [tex]0 \le p \le 1[/tex]

In other words, p = 0 is the smallest it can get and p = 1 is the largest it can get, or it could be anything in between.

The probability p = 0 means that the event will never happen, or there's 0% of it happening. The probability p = 1 means there's 100% certainty the event will happen.

Something like p = 1.4 is not possible as this indicates it's over 100%. So that rules out choice B. Choice C is also ruled out because we can't have negative probabilities.

Melanie has D dimes and Q quarters. She has no less than $4 worth of coins altogether. Write this situation as an inequality.

Answers

Step-by-step explanation:

D(.10) + Q(.25) = 4

I think

Answer:

D(.10) + Q(.25) = 4

Step-by-step explanation:

Let f(x) = (x − 1)2, g(x) = e−2x, and h(x) = 1 + ln(1 − 2x). (a) Find the linearizations of f, g, and h at a = 0. What do you notice? How do you explain what happened?

Answers

Answer:

Lf(x) = Lg(x) = Lh(x) =  1 - 2x

value of the functions and their derivative are the same at x = 0

Step-by-step explanation:

Given :

f(x) = (x − 1)^2,  

g(x) = e^−2x ,  

h(x) = 1 + ln(1 − 2x).

a) Determine Linearization of  f, g and h  at a = 0

L(x) = f (a) + f'(a) (x-a)  ( linearization of f at a )

for f(x) = (x − 1)^2  

f'(x ) = 2( x - 1 )

at x = 0

f' = -2  

hence the Linearization at a = 0

Lf (x) = f(0) + f'(0) ( x - 0 )

Lf (x) = 1 -2 ( x - 0 ) = 1 - 2x

For g(x) = e^−2x

g'(x) = -2e^-2x

at x = 0

g(0) = 1

g'(0) = -2e^0 = -2

hence linearization at a = 0

Lg(x) = g ( 0 ) + g' (0) (x - 0 )

Lg(x) = 1 - 2x

For h(x) = 1 + ln(1 − 2x).

h'(x) =  -2 / ( 1 - 2x )

at x = 0

h(0) = 1

h'(0) = -2

hence linearization at a = 0

Lh(x) = h(0) + h'(0) (x-0)

        = 1 - 2x

Observation and reason

The Linearization is the same in every function i.e. Lf(x) = Lg(x) = Lh(x) this is because the value of the functions and their derivative are the same at x = 0

Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y ≤ -1/3x+2

Answers

Answer:

Graph 2 which has both solid and dashed line

Step-by-step explanation:

Given the linear inequalities :

y>2/3x+3 - - - (1)

y ≤ -1/3x+2 - - - (2)

One quick observation that can be made from the two graphs is the type of line used to plot the two linear inequalities;

Inequalities that uses either the < or > sign are plotted using a dashed line while inequalities with makes use of ≤ or ≥ are plotted using the solid line. Therefore we can conclude that the graph which uses both the solid line and the dashed line to represent the linear inequality conditions is the correct choice.

in the pair of triangle, write the similarity statement and identify the postulate of theorem that justifies the similarity.​

Answers

Answer:

ΔEFG ~ ΔRPQ - Angle Angle Angle Theorem

ΔEFG ~ ΔRFQ - Side Side Side Proportional Theorem

Step-by-step explanation:

First set : using triangle sum theory to find missing angle. Letters should match congruent angles when creating statement.

Second set :

[tex]\frac{EG}{RQ}[/tex] = [tex]\frac{10}{12}[/tex] =  [tex]\frac{5}{6}[/tex]

[tex]\frac{EF}{RF}[/tex] =  [tex]\frac{15}{18}[/tex] =  [tex]\frac{5}{6}[/tex]

[tex]\frac{FG}{FQ}[/tex] =  [tex]\frac{20}{24}[/tex] =  [tex]\frac{5}{6}[/tex]

Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.​

Answers

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

Answer:

Step-by-step explanation:

-4 is a root for 3 times and 1 is root for once

so (x+4)^3 * (x-1) is part of f(x)

the constant term there is 4^3*(-1)=-64

so there is a multiplier of 320/-64=-5

f(x) = -5 * (x+4)^3 * (x-1)

the first term of an arithmetic sequence is -5, and the tenth term is 13. find the common difference

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Equivalent question: Find the slope of line going through points (1,-5) and (10,13).

Line points up vertically and subtract. Then put 2nd difference on top of first difference.

(1,-5)

(10,13)

---------'subtracting

-9, -18

So the slope of the line gong through point's (1,-5) and (10,13) is -18/-9=2.

The common difference of an arithmetic sequence whose first term is -5 and whose tenth term is 13 is 2.

[tex]3x+7=12-2x;1[/tex]

Answers

Step-by-step explanation:

[tex]3x + 7 = 12- 2x \\ 3x + 2x = 12 - 7 \\ 5x = 5 \\ x = \frac{5}{5} \\ x =1[/tex]

Find the values of the sine, cosine, and tangent for ZA C A 36ft B
24ft

Answers

Question:

Find the values of the sine, cosine, and tangent for ∠A

a. sin A = [tex]\frac{\sqrt{13} }{2}[/tex],  cos A = [tex]\frac{\sqrt{13} }{3}[/tex],  tan A = [tex]\frac{2 }{3}[/tex]

b. sin A = [tex]3\frac{\sqrt{13} }{13}[/tex],  cos A = [tex]2\frac{\sqrt{13} }{13}[/tex],  tan A = [tex]\frac{3}{2}[/tex]

c. sin A = [tex]\frac{\sqrt{13} }{3}[/tex],  cos A = [tex]\frac{\sqrt{13} }{2}[/tex],  tan A = [tex]\frac{3}{2}[/tex]

d. sin A = [tex]2\frac{\sqrt{13} }{13}[/tex],  cos A = [tex]3\frac{\sqrt{13} }{13}[/tex],  tan A = [tex]\frac{2 }{3}[/tex]

Answer:

d. sin A = [tex]2\frac{\sqrt{13} }{13}[/tex],  cos A = [tex]3\frac{\sqrt{13} }{13}[/tex],  tan A = [tex]\frac{2 }{3}[/tex]

Step-by-step explanation:

The triangle for the question has been attached to this response.

As shown in the triangle;

AC = 36ft

BC = 24ft

ACB = 90°

To calculate the values of the sine, cosine, and tangent of ∠A;

i. First calculate the value of the missing side AB.

Using Pythagoras' theorem;

⇒ (AB)² = (AC)² + (BC)²

Substitute the values of AC and BC

⇒ (AB)² = (36)² + (24)²

Solve for AB

⇒ (AB)² = 1296 + 576

⇒ (AB)² = 1872

⇒ AB = [tex]\sqrt{1872}[/tex]

⇒ AB = [tex]12\sqrt{13}[/tex] ft

From the values of the sides, it can be noted that the side AB is the hypotenuse of the triangle since that is the longest side with a value of [tex]12\sqrt{13}[/tex] ft (43.27ft).

ii. Calculate the sine of ∠A (i.e sin A)

The sine of an angle (Ф) in a triangle is given by the ratio of the opposite side to that angle to the hypotenuse side of the triangle. i.e

sin Ф = [tex]\frac{opposite}{hypotenuse}[/tex]             -------------(i)

In this case,

Ф = A

opposite = 24ft (This is the opposite side to angle A)

hypotenuse = [tex]12\sqrt{13}[/tex] ft (This is the longest side of the triangle)

Substitute these values into equation (i) as follows;

sin A = [tex]\frac{24}{12\sqrt{13} }[/tex]

sin A = [tex]\frac{2}{\sqrt{13}}[/tex]

Rationalize the result by multiplying both the numerator and denominator by [tex]\sqrt{13}[/tex]

sin A = [tex]\frac{2}{\sqrt{13}} * \frac{\sqrt{13} }{\sqrt{13} }[/tex]

sin A = [tex]\frac{2\sqrt{13} }{13}[/tex]

iii. Calculate the cosine of ∠A (i.e cos A)

The cosine of an angle (Ф) in a triangle is given by the ratio of the adjacent side to that angle to the hypotenuse side of the triangle. i.e

cos Ф = [tex]\frac{adjacent}{hypotenuse}[/tex]             -------------(ii)

In this case,

Ф = A

adjacent = 36ft (This is the adjecent side to angle A)

hypotenuse = [tex]12\sqrt{13}[/tex] ft (This is the longest side of the triangle)

Substitute these values into equation (ii) as follows;

cos A = [tex]\frac{36}{12\sqrt{13} }[/tex]

cos A = [tex]\frac{3}{\sqrt{13}}[/tex]

Rationalize the result by multiplying both the numerator and denominator by [tex]\sqrt{13}[/tex]

cos A = [tex]\frac{3}{\sqrt{13}} * \frac{\sqrt{13} }{\sqrt{13} }[/tex]

cos A = [tex]\frac{3\sqrt{13} }{13}[/tex]

iii. Calculate the tangent of ∠A (i.e tan A)

The cosine of an angle (Ф) in a triangle is given by the ratio of the opposite side to that angle to the adjacent side of the triangle. i.e

tan Ф = [tex]\frac{opposite}{adjacent}[/tex]             -------------(iii)

In this case,

Ф = A

opposite = 24 ft (This is the opposite side to angle A)

adjacent = 36 ft (This is the adjacent side to angle A)

Substitute these values into equation (iii) as follows;

tan A = [tex]\frac{24}{36}[/tex]

tan A = [tex]\frac{2}{3}[/tex]

In 2013, the Public Religion Research Institute conducted a survey of 1,033 adults, 18 years of age or older, in the continental United States. One of the questions on their survey was as follows:

Answers

Answer:

Probability[Number of people from church] = 0.26 (Approx.)

Step-by-step explanation:

Given:

Total number of adult in survey = 1,033

Missing information:

Number of people from church = 269

Find:

Probability[Number of people from church]

Computation:

Probability of an event = Number of favourable outcomes / Number of total outcomes

Probability[Number of people from church] = Number of people from church / Total number of adult in survey

Probability[Number of people from church] = 269 / 1,033

Probability[Number of people from church] = 0.2604

Probability[Number of people from church] = 0.26 (Approx.)

Consider the proportion
8
k
=
5
2.7

Answers

Answer:

4.32 = k

Step-by-step explanation:

8/k = 5/2.7

We can solve using cross products

8* 2.7 = 5k

21.6 = 5k

Divide each side by 5

21.6/5 = k

4.32 = k

Answer: 5k = 21.6 and k = 4.32

there you go have a good day bye

Step-by-step explanation:

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The paragraph contains no text connections. The paragraph contains an analogy. Is u=12 a solution of 8u1=6u? why Did Lorne knight not traverse the icy sea with Maurer, Crawford and Galle ASAP!! Please help me out here WHAT IS ONE OF THE MOST IMPORTANT FUNCTIONS OF ANY LEGAL SYSTEM? Evaluate the expression (2x over xy ) for x = 4 and y == 2. X+y=11 Graphing which function 11. What is "the hook" in a Whats is the hook in a text?the final paragraphwhat gets the reader's attentionthe ways ideas developthe way the text is organized So, I need to use an external mic for my phone, but the problem is that I need a "dual mic adapter". My dad gave me an "audio splitter" instead. Can I use the audio splitter instead in order to connect the external mic to my phone??? o Introduce yourself in a complete sentence in Spanish.o State one sentence using the correct form of the verb estar and two prepositions todescribe the location of your country (Chile, Ecuador, or Peru) from your trip. (e.g., Chile isin South America, to the left of Argentina and below Bolivia and Peru.)o State one sentence using the correct form of saber + que to state a fact you know aboutthe weather in one of the points of interest from your trip. (e.g., After my trip, I know that inthe Atacama Desert, it is sunny and hot.)o State one sentence using the correct form of the verb conocer to describe a place in acity from your trip and use ser with an adjective to describe it. (e.g., I know the village ofPuerto Varas and it is elegant.)o State one sentence using the correct form of the verb sentirse and one emotion to sayhow you feel now that you are home from your dream vacation. (e.g., I feel very happyabout my trip.) Antigone and Ismene heard with horror what Creon had decided. To Ismene, shocking as it was, overwhelming her with anguish for the pitiful dead body and the lonely, homeless soul, it seemed, nevertheless, that nothing could be done except to acquiesce [to accept without protest]. She and Antigone were utterly alone. All Thebes was exulting that the man who had brought war upon them should be thus terribly punished. "We are women," she told her sister. "We must obey. We have no strength to defy the State." "Choose your own part," Antigone said. "I go to bury the brother I love.""The Royal House of Thebes""Is it not better to be poor and free than to have great wealth and be slaves?" she [Boadicea] asked. "And the Romans take not only our freedom but our wealth. They want to make us both slaves and beggars. Let us rise. O brothers and sisters, let us rise, and drive these robbers out of our land! Let us kill them every one! Let us teach them that they are no better than hares and foxes, and no match for greyhounds! We will fight, and if we cannot conquer, then let us dieyes, every one of usdie rather than submit.""The Story of a Warrior Queen"How do the archetypes in these passages support the universal theme that one's values are worth risking one's life for?Both Antigone and Boadicea are warriors who decide to go to war for what they believe is right.Both Antigone and Boadicea are heroes who go to battle against their enemies.Both Antigone and Boadicea are heroines who choose their values over their lives, knowing they may die in the process.Both Antigone and Boadicea are villains who transgress the law in order to fight for their values. State the domain and range of the following function:{(- 3,4), (0,6), (2, - 2), (1, 3), (6, - 7), (3, 2)} Please whoever knows they can solve this, help me!I have attached the questions down below. Please add diagrams if the questions permit you to do so. I will be marking the brainiest. Thanks.ANYONE?? Explain the historical circumstances that led to the writing of the United Nations Declaration of Human Rights? Solve the following formula for a. Which of these statements expresses a scientific theory?A. All the tissues that make up animals consist of cells.B. The larger of two cells probably contains a nucleus.C. Cells are the basic units of life.D. A material that consists of cells came from a living organism. Steve thinks he can drive legally 30 minutes after he drinks 5 beers. The legal limit is BAC = 0.08. Give a 90% prediction interval for Steves BAC. Can he be confident he wont be arrested if he drives and is stopped? The purification of hydrogen gas is possible by diffusion through a thin palladium sheet. Calculate the number of kilograms of hydrogen that pass per hour (in kg/h) through a 4.0-mm thick sheet of palladium having an area of 0.25 m^2 at 500C. Assume a diffusion coefficient of 6.0 x 10^-8 m^2/s, that the concentrations at the high- and low-pressure sides of the plate are 3.5 and 0.25 kg/m^3 (kilogram of hydrogen per cubic meter of palladium), and that steady-state conditions have been attained. (clearly show your solution step by step, pay attention to units otherwise you will lose points!) 1) Esses textos tm em comum o fato de * 1 ponto A) serem textos informativos. Ambos os textos esto centralizados em fatos/acontecimentos. B) serem textos argumentativos. Ambos os textos narram histrias envolvendo personagens. C) serem textos epistolares. O TEXTO 01 uma carta pessoal e o TEXTO 02 uma carta aberta. D) serem textos epistolares. O TEXTO 01 uma carta aberta e o TEXTO 02 uma carta pessoal. 2) No TEXTO 01, a expresso "Muito cordialmente," utilizada na despedida tpica da linguagem * 1 ponto A) cientfica. B) coloquial. C) formal. D) regional.