Please I really need help I’ll mark brainlist

Please I Really Need Help Ill Mark Brainlist

Answers

Answer 1

Answer:

So, cows heart best is faster than horse.

Step-by-step explanation:

Time and heartbeats are in direct proportion.

   p = kx

Where p is the beats per minute and x represents time in minutes

Now, to find the value of k, substitute p = 152 and x = 4

152 = 4k

  k = 152/4

  k = 38

[tex]\sf \boxed{p = 38x}[/tex]

Cow:  y = 65x

So, cows heart best is faster than horse


Related Questions

ristina and Lamar use a ruler and protractor to draw triangles with given conditions. Part A Cristina is asked to construct a triangle with a 45° angle and a 65° angle. How many different triangles could she draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle Part B Lamar is asked to construct a triangle with two angles measuring 45° and 65°, with the side length between those angles 4 centimeters long. How many different triangles could he draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle

Answers

Answer:The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem we have a triangle with a 45 degree angle and a 65 degree angle

so

The measure of the third side must be equal to

The triangle is a 45°-65°-70°

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

I can have as many triangles whose internal angles are congruent and their sides are proportional

therefore

More than one triangle can be drawn with these conditions

Step-by-step explanation:

Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie tickets Henry bought two buckets of popcorn for 5 dollars each. How much did Henry spend on popcorn. What was the total expenditure

Answers

Answer:

tickets: $14

popcorn: $10

total: $24

Step-by-step explanation:

2 movie tickets at $7 each is 2*7 which is $14

2 buckets of popcorn at $5 each is 2*5 which is $10

adding these together we get a total spending of $24

After a 35% reduction, you purchase a new television for $136.5. What was the price of the television before the reduction?

A) First write an equation you can use to answer this question.
B) Solve your equation in part [A] to find the original price of the television.

Answers

Answer:

See Below

Step-by-step explanation:

35% off means you pay 65%

  sooo   A)   .65 x = 136.50   where x = original price

              B)         x = 136.50/.65 = $210 original price

         

If the area of a certain square is 81 square inches or less, which set
describes the domain of the function?
F(s)=s^2

(0,81]
[0, 9]
(0,91
[0,81)

Answers

Answer:

(0, 9]

Step-by-step explanation:

√81 = 9

We must take positive numbers into consideration here.

Which of the following are exterior angles? Check all that apply.
A. <4
B. <1
C. <5
D. <2
E. <3
F. <6


All of the ppl that answered this for it wrong, it is <6!! ( < = angle)

Answers

The answer is -F.&It;6

Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statistically fair and morally fair.
Situation #1 A high school student is deciding whether to first clean his room or do his homework. He decides by picking a tile at random from a bag of lettered tiles. If he picks a consonant he will clean his room, and if he picks a vowel he will do his homework.
Situation #2 There are four candidates eligible for a vacancy at a company. Ignoring qualifications and experience, the recruitment manager decides which candidate to hire by writing their names on pieces of paper, shuffling the papers, and drawing one at random.
Situation #3 Five cousins are deciding which board game to play. They each write their preferred game on a different section of a spinner that has five equally-sized sections. They spin the spinner and will play the game written on the section where the spinner lands.
Situation #4 To determine who can choose the spot for a picnic, Kate picks a tile at random from a collection of five tiles, numbered 2 through 6. Kate chooses the spot if she picks a prime number, and Charles chooses if Kate picks a composite number.
Situation #5 Five roommates all want to attend an event, but they only have four invites. To decide who will attend, they shuffle a set of five cards consisting of four aces and a king. Each roommate is randomly dealt a card. The ones dealt an ace will attend the event.
Reset Next

Answers

The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5

How to categorize the situations?

For a situation to be fair, the probability of every outcome must be equal.

We can now analyze each option using the above highlight

Situation 1

Alphabets = 26Probability of vowel = 5/26Probability of consonant = 21/26

The probabilities of vowels and consonant are not equal.

Hence, this situation is not fair

Situation 2

People = 4

P(Each) = 1/4

The probability of each participant is equal in the above scenario i.e. 1/4

Hence, this situation is fair

Situation 3

People = 5P(Each) = 1/5

The probability of each cousin is equal in the above scenario i.e. 1/5

Hence, this situation is fair

Situation 4

Numbers = 5 i.e. 2 to 6P(Prime) = 3/5P(Composite) = 4/6

The probabilities of prime and composite numbers are not equal.

Hence, this situation is not fair

Situation 5

Roommates = 5Cards = 5Aces = 4P(Each) = 1/5

All probabilities are equal in the above scenario i.e. 1/5

Hence, this situation is fair

Read more about probability at:

brainly.com/question/251701

#SPJ1

A rectangle has an area of 65 cm² and a length of
13 cm. Find the perimeter of this rectangle.

Answers

Answer:

36 cm

Step-by-step explanation:

See attached image

If the present value of an item is P
and we experience an inflation rate
of r for t years, what will the future
value of the item be?
P = $100
r = 4%
t = 15

Answers

inflation means, the same item costs more however is the same item, so if a tomato in January 1st costs $1 and by December 31st it costs $2, the price went up by twice, however is same tomato, it didn't become twice as large, anyhow, inflation eats away value and thus is a Decay case.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A=100(1 - 0.04)^{15}\implies A=100(0.96)^{15}\implies A\approx 54.21[/tex]

now, we can look at this value reduction as value that was eaten away from the original.

we can also see the inflationary effect as the new value of the tomato in money terms, that means the tomato went up in price, exponentially by 4% per year, so we can see that as a Growth case in terms of money spent on it.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A = 100(1 + 0.04)^{15} \implies A \approx 180.09[/tex]

now, this is how much the tomato will be priced in money terms in 15 years.

pls help me with 5,6,7,8,9,10,11.Its 7th grade maths i really need help.I'll
also give brainliest ​

Answers

The missing areas and dimensions of the given squares, rectangles, and triangles are:

2. 36 cm²

3. 21 cm²

4. 9 cm²

5. 5 cm

6. 10 cm

7. 4 cm

8. 8 cm

9. 7 cm

10. 7

11. 10

What is the Area of a Square, Rectangle, and a Triangle?

Area of a square = s²

Area of a rectangle = (length)(breadth)

Area of a triangle = 1/2(base)(height).

2. Area of square = s² = 6² = 36 cm².

3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².

4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².

5. Area of a rectangle = (length)(breadth)

60 = (12)(breadth)

Breadth = 60/12

Breadth = 5 cm.

6. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = (35)(2)/7

Height = 10 cm

7. Area of a square = s²

16 = s²

s = √16

s = length = 4 cm

8. Area of a triangle = 1/2(base)(height)

40 = 1/2(10)(height)

Height = 40/5

Height = 8 cm.

9. Area of a square = s²

49 = s²

s = √49

s = length = 7 cm

10. Area of a rectangle = (length)(breadth)

84 = (12)(breadth)

Breadth = 84/12

Breadth = 7 cm.

11. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = 70/7

Height = 10 cm.

Learn more about the area of a square, rectangle, and triangle on:

https://brainly.com/question/5504627

#SPJ1

AB = 10 in; AD = 6 in

A=

30sqrt3 in2
30 in2
60 in2

Answers

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula [tex]A=\frac{1}{2} ab \sin C[/tex].

However, since there are two triangles, we can double this, giving us [tex]A=ab \sin C[/tex].

So, the area is [tex]A=(10)(6)(\sin 30^{\circ})=\boxed{30}[/tex]

Find the surface area of the regular pyramid.

Answers

The surface area of the regular pyramid as given in the task content is; 16m².

What is the surface are of the regular pyramid?

The task content requires that the surface area of the pyramid be determined. This surface area can therefore be evaluated as follows;

Surface area = (2×2) + 4((1/2)×2×3) = 4 + 12 = 16m².

The surface area of the regular pyramid is therefore; 16m².

Read more on pyramids;

https://brainly.com/question/16174451

#SPJ1

Find the middle term of the expansion of (√x+√y)^8. a. 40x2y2 c. 40x4y4 b. 70x2y2 d. 70x4y4

Answers

The middle term of the expansion of (√x + √y)⁸ is; B: 70 * x² * y²

How to solve binomial theorems?

We want to expand the expression;

(√x + √y)⁸

Now, according to binomial expansion, we know that;

(x + y)ⁿ = ⁿC₀ xⁿ y⁰ + ⁿC₁ xⁿ ⁻ ¹ y¹ + ⁿC₂ xⁿ ⁻ ² y² + ..... + ⁿCₙ x⁰ yⁿ.

Now, for an 8 power binomial, the coefficient of each term from formula are respectively;

1      8      28      56      70     56     28    8      1

The mid term is the fifth term and so, we have;

(⁸C₄ * (√x)⁽⁸ ⁻ ⁴⁾ * (√y)⁴)

⇒ 70 * x² * y²

Read more about Binomial theorems at; https://brainly.com/question/13602562

#SPJ1

Which sentence correctly compares the two numbers 5.395 and 5385 ?
5.395= 5385
5.385 > 5.395
5395< 5.385
5385 < 5.395

Answers

The sentence that correctly compares the two numbers is 5385 > 5.395

What is the correct sentence?

Here are inequality signs and what they mean:
Note that

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

5385 is greater than 5.385. Thus, the correct statement is 5385 > 5.395.

To learn more about inequality, please check: https://brainly.com/question/5031619

#SPJ1

Joe went shopping and purchased a pair of pants for $56 and a pair of shoes for $45. The tax in Joe's city is 4%. How much will Joe pay when he checks out ?

Answers

Answer:

$105.04

Step-by-step explanation:

First add $56 plus 45$ and you will get $101, then times $101 and 1.04 together.

Your answer should be $105.04.

HELP ASAP WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Remark

This is a proportion question. A proportion is 2 equal ratios that requires you to solve the 4th part when you know the other 3.

Givens

1 foot scale model length

5 feet of actual length

x = length of model

65 feet of actual length

Formula

1 foot / 5 feet = x / 65 feet

Solution

1/5 = x / 65                          Cross multiply

5x = 65                                Divide by 5

5x/5 = 65/5

x = 13

Answer

The model is 13 feet long

Abby takes a 75-centimeter by 40-centimeter rectangle of fabric and cuts from one corner of
the piece of fabric to the diagonally opposite corner. Now Abby has two equally sized triangles of fabric. What is the perimeter of each triangle centimeters

Answers

answer: 195cm

the photo should explain

find the perimeter of a triangular field whose length of edges are 14 m, 12m 10 m Also find the length of required to fence 4 times around it?​

Answers

Answer: 36 m, 144 m

Step-by-Step Explanation:

a = 14 m

b = 12 m

c = 10 m

Perimeter = a + b + c

Therefore,

= a + b + c

= 14 + 12 + 10

= 26 + 10

=> 36

Perimeter = 36 m

Length of Fence required for Fencing 4 times = Perimeter * 4

Therefore,

= Perimeter * 4

= 36 * 4

= 144

Length of Fence required for Fencing 4 times = 144 m

i need helpppp with this question

Answers

Answer is 2 look at picture for explanation

Triangle ABC is defined by the points A(2,9), B(8,4), and ((-3,-2).
Complete the following equation for a line passing through point C and perpendicular AB.

Answers

The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).

The slope of the segment AB:

[tex]\rm m =\dfrac{4-9}{8-2}[/tex]

m = -5/6

The slope of the line perpendicular to AB:

Let M is the slope of the line:

mM = -1

(-5/6)M = -1

M = 6/5

The line:

y = Mx + c

y = (6/5)x + c

The line passing through the point C(-3, -2)

-2 = (6/5)(-3) + c

c = 8/5

y = (6/5)x + 8/5

5y = 6x + 8

Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes Crispy Clover's new menu has?

Answers

Answer:

D*1.2        (OR)      1.2D

Step-by-step explanation:

Because the new menu has one hundred percent of the original menu (D), plus twenty percent, the new menu is 120%, or 1.2

You can then multiply the number of items on the original menu (D), by the new menu's value, which is 1.2 (or 120%).

This brings you to the answer of 1.2D


Find the surface area and lateral surface area of the cylinder. Round your answers to the nearest tenth.
3 yd
Surface area:

Lateral surface area:

Answers

A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Lateral area of the cylinder = Area of the curved surface

                                             = 2πR × H

                                             = 2 × π × 3yd × 6yd

                                             = 36π yd²

                                             = 113.0973 yd² ≈ 113.1 yd²


The total surface area of the cylinder

         = Area of the two bases + Area of the curved surface

         = 2(π × 3²) + 113.0973 yd²

         = 56.54866 yd² + 113.0973 yd²

         = 169.6459 yd² ≈ 169.7yd²

Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

Learn more about Cylinder:

https://brainly.com/question/12248187

#SPJ1

What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?

A.)Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

C.) Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

D.) Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.

Answers

The key features are (1) both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

How to determine the key features

The functions are given as:

f(x) = 4 - x

[tex]g(x) = -\sqrt{x - 4}[/tex]

Using a graphing calculator:

The domain of g(x) is [4,∞)The range of g(x) is (-∞,0]The domain of f(x) is (-∞,∞) The range of f(x) is (-∞,∞) Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (1)

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

Answer:

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

b is correct

A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

A dartboard consists of a circle inscribed in a square.

Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3.14 for π.

22%
25%
75%
79%

Answers

The probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A dartboard consists of a circle inscribed in a square.

The area of the square is 64 square inches.

We know the area of the square:

A = a²

a is the side of the square.

64 = a²

a = 8 inches

As the circle inscribed in a square.

The diameter will be 8 inches

The radius of the circle r = 8/2 = 4 inches

Area of the circle = πr² = π(4)² = 16×3.14 = 50.24 inches

P(dart will land on circular dartboard) = 50.24/64 = 0.785

P(dart will not land on circular dartboard) = 1 - 0.785 = 0.215

or

P(dart will not land on circular dartboard) = 21.5% ≈ 22%

Thus, the probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

22%

Step-by-step explanation

Edge.2023!


Please show work and thank you

Answers

Answer: [tex]\sqrt{109} \text{ m }[/tex]

Step-by-step explanation:

If we let the length of the ladder be [tex]x[/tex], as shown in the diagram, this means that by the Pythagorean theorem, [tex]x=\sqrt{10^{2}+3^{2}}=\boxed{\sqrt{109}}[/tex] m.

Karen runs for 45 minutes every day. Which unit best describes the distance Karen runs for each day?
A. 50 kilometers
B. 5 kilometers
C. 50 meters
D. 50 centimeters
! URGENT !

Answers

Answer:

your mom fat as he'll that way you are adopted

A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.

Answers

Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

[tex]p = \frac{10}{435}[/tex]

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

[tex]P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}[/tex]

More can be learned about the uniform distribution at https://brainly.com/question/13889040

#SPJ1

Select the correct answer. The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m<ABC​

Answers

Answer: [tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.

[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]

This means that:

[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]

As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]

Credit cards and charge cards differ in two important ways. One is the method of payment. What is the other difference? A. You earn interest when you use a credit card but not a charge card. B. You have to pay interest on credit cards but not on charge cards. C. You have to pay interest on charge cards but not on credit cards. D. You earn interest when you use a charge card but not a credit card. Reset Next

Answers

The difference is "You have to pay interest on credit cards but not on charge cards" , Option B

What are Credit Cards ?

The cards is a financial tool generally issued by banks which let you to borrow money for expenses and make payments afterward in installments.

Credit cards and charge cards differ in two important ways. One is the method of payment

The other difference is

You have to pay interest on credit cards but not on charge cards, as in credit card the person gets lot of time for the payment and the payment can be made in installments and so for this facility extra charge in terms of interest.

Therefore Option b is the correct answer.

To know more about Credit Cards

https://brainly.com/question/27350251

#SPJ1

Which description best describes parallel lines?
OA. Lines that intersect at a right angle
B. Lines that lie in the same plane but will never intersect
C. Lines that are not in the same plane and will never intersect
OD. Lines that intersect
SUBIT ?

Answers

B. Lines that lie in the same plane but will never intersect.

Parallel lines, for example could look somewhat like two uppercase i’s: II. They will remain the same distance from one another and will never cross (intersect) no matter how far they extend.
Answer: B
Parallel lines will always be in the same plane, but they will never intersect with each other as they keep going straight and never touch.

Which equation can be simplified to find the inverse of y = x2-7? ​

Answers

inverse function x = y^2 - 7
Other Questions
A six-sided die is rolled seven times. What is the probability that the die will show an even number at least six times? L=24 B=12 area=______Perimeter=_______ asap help pls When writing free verse, what does a poet have to decide? (Select all correct answers.)how many lines will appear in each stanzawhat words will create the desired effectwhere each line should endwhat rhyme scheme the poem will use Which of these is NOT true about electromagnets?They are permanent.Increasing the battery makes them stronger.They need a battery or other source of current.Increasing the number of coils makes them stronger. What is this function written in vertex form? f(x) = (x 1)2 7 f(x) = (x 1)2 7 f(x) = (x 1)2 5 f(x) = (x 1)2 5 Read the passage from "Cruel Tribute.Then every maiden, without looking, reached her hand into one of the vessels and drew forth a ball, and those who took the black balls were borne away to the black ship, which lay in waiting by the shore. The young men also drew lots in like manner, but when six black balls had been drawn Theseus came quickly forward and said:"Hold! Let no more balls be drawn. I will be the seventh youth to pay this tribute.What is the effect when Theseus volunteers?Theseus sets himself up to become the ruler of Athens.Theseus sets himself up to battle the Minotaur.Theseus sets himself up to win Ariadnes love.Theseus sets himself up to win King Minoss respect. The U.S. Declaration of Independence is structured logically to lead frompremise to conclusion. Which statement best completes its flow ofreasoning?I. All people are equally entitled to certain rights.II. Our rights have been violated by the British government.III. ?OA. These rights are natural and God-given to all men equally.B. No one can argue with the list of violations presented herein.C. Americans agree that King George III is a tyrannical ruler.D. Americans must form their own government to protect their rights. How dose earths solid inner core affect seismic waves make r the subject and find the value which one of the following will reach every element in the array a? 1. for(int i = 0; i Umberto plants a garden with an area of 16 square feet. What is the area of the garden in square inches Why did President Truman issue Executive Order 9981 in 1948?to integrate baseballto segregate the defense industryto segregate baseballto integrate the armed forces Select the correct answer from each drop-down menu. how might this factory affect the carbon and water cycle? a photo shows smoke coming out from industrial chimneys against the backdrop of a clear morning sky. the factory can affect the carbon cycle by releasing carbon dioxide into the atmosphere. because carbon dioxide is a , it can trap the suns heat in the atmosphere. because the factory is made of concrete, it may deplete groundwater levels over time by not allowing water to . 6 kids play a tennis game. Each play each other once. How many games did they play altogether In the distant future in The Time Machine, after the Time Traveller goes billions of years into the future, how does he describe the plant life? A. Red flowers B. Brown soil C. Deep green algae D. Yellow seaweed What do these lines from Sophocles's Antigone tell us about Antigone's character?ANTIGONE:And yet good hope is mine that I shall findA welcome from my sire, a welcome too,From thee, my mother, and my brother dear;From with these hands, I laved and decked your limbsIn death, and poured libations on your grave.And last, my Polyneices, unto theeI paid due rites, and this my recompense!Yet am I justified in wisdom's eyes.For even had it been some child of mine,Or husband mouldering in death's decay,I had not wrought this deed despite the State. Which of the following is the BEST example of an appropriately-narrowed topic for an informational research paper?FordAmerican historyHow the assembly line changed American industrythe Industrial Revolution what is the range of exponential function f(x)=9*2^x In industrialized states every tenth adult suffers daily, and every third occasionally, from heartburn. In Germany almost ten million people are affected by this disease. Helpful medicines against heartburn are the so-called antacids. Antacids bound acids against an over-acidification of the stomach. The stomach acid contains hydrochloric acid (HCl, dissolved in water), which reacts with the antacid to form water, carbon dioxide and the corresponding salt. Generally, antacids are carbonates. Very common is Bullrichs salt, which uses sodium hydrogen carbonate as active ingredient. A single dose of an antacid is to be chosen in a way that it will react with two grams of hydrochloric acid. You are to formulate the instruction leaflet for a pharmaceutical company, which sells calcium carbonate (CaCO3) as an antacid. The dosing instruction says that in case of heartburn, one tablet with sufficient water is to be ingested. But the specification, how many grams of calcium carbonate one tablet contains, is still missing Kellie thinks of a number, then doubles the number, and then multiplies the result by 3. If her final number is 65 more than her original number, then what was her original number I will give 70 points pls