Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense inreal numbers?3.14 and pi3.33 and 1/3e^2 and √54√64/2 and √16

Finding An Irrational Number Between Which Given Pair Of Numbers Supports The Idea That Irrational Numbers

Answers

Answer 1

Answer:

B. 3.33 and 1/3

Explanation:

To prove that irrational numbers are dense in real numbers, we show that between any two numbers x and y there are two rational numbers, and between those two rational numbers, there is an irrational number.

In option A, pi is already irrational.

In Option C, the Euler number (e) and √54 are irrational.

In Option D, √64/2=4, and √16=4. Therefore, there cannot be any number between 4 and 4.

However, in Option B:

1/3 and 3.33 are rational numbers and they have the irrational number (pi) in between them.

Therefore, it is the pair of numbers that support the idea that irrational numbers are dense in real numbers.


Related Questions

Is 218 the correct answer, please this is worth a lot

Is 218 the correct answer, please this is worth a lot

Answers

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

Is 218 the correct answer, please this is worth a lot
yes because i checked again

5 x + 2 = 22


















What is

Answers

Answer:

Step-by-step explanation:

5x + 2 = 22

Bringing like terms on one side

5x = 22 - 2

5x = 20

x = 20/5 = 4

I have been stuck on this question for a bit. I need some help on it me and 2 other people can't seem to figure it out.

I have been stuck on this question for a bit. I need some help on it me and 2 other people can't seem

Answers

Answer:

1080

Step-by-step explanation:

The surface area is the sum of the areas of the faces.

This L-shaped prism has 8 faces: the 2 Ls on the ends, and the 6 rectangular faces along the sides of the L.

The area of each L is 14×10 − 10×8 = 60.

The total surface area is therefore:

A = 2(60) + 20×4 + 20×8 + 20×10 + 20×2 + 20×14 + 20×10

A = 1080

The surface area is 1080 cm².

HELP PLEASE I ONLY HAVE A FEW MINS

HELP PLEASE I ONLY HAVE A FEW MINS
HELP PLEASE I ONLY HAVE A FEW MINS

Answers

Answer:option D for the first one

Step-by-step explanation:

It adds up to what they bought

find the length of a side of a square for the area given 100/9 square meters

Answers

Answer: A side of a square for the area given 100/9 square meters, then length = 3.33 meters .

Step-by-step explanation:

The area of a square is (100/9) cm.

So, find out the length of the square?

Then,

Define Square:

A square is closed, two-dimensional shape with 4 equal sides. A square is a quadrilateral. We can find the shape of a square in a game board or chess board, a wall clock and in a slice of bread, around us.

The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.

Define Area of Square:

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m²).                    

The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.    

Area of a Square = Side ×  Side

Therefore, the area of square = side²  square units                          

                                              A = s²

Means,       A= area of square

You have the area so you need to find the side length that when multiplied by itself equals that area. If you don’t know what number squared is (100/9) you can plug and chug or use a calculator with square roots.

Replace with A=(100/9) values,

We can write,

                        A = s²

               (100/9) = s²

Then we can solve it,

               \(\sqrt{100/9}\) = s

                 \(\sqrt{\frac{(10^{2}) }{3^{2} } }\) = s

We can write, \(\sqrt{10^{2} }\) = 10 , and \(\sqrt{3^{2} }\) = 3

Then,  

                    (10/3) = s

Therefore,   s = (10/3)

                    s = 3.33 meters

So, length = 3.33 meters

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Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.

Answers

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Explain how you could use the distributive property to find how many gallons of water are pumped out of the black hole in 2 1/2 minutes

Answers

Answer:

by counting the numbers

Step-by-step explanation:

1 + 1 + 1 + 1 + 1 etc

The perimeter of the rectangle below is 104 units. Find the length of side RS

Write your answer without variables

The perimeter of the rectangle below is 104 units. Find the length of side RS Write your answer without

Answers

Answer:

24

Step-by-step explanation:

Opposite sides on a rectangle are equal

So 2(3x+3)+2(4x)=104

Now expand, so 6x+6+8x=104

Simplify like terms, 14x+6=104

14x+6-6=104-6

14x=98

14x/14=98/14

x=7

Now just substitute the 7 in for the 3x+3 as thats what we are looking for.

3×7+3=24

Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2. (2 points)

Group of answer choices

32 times 4 plus fraction 1 over 2 times 16, then subtract 2

32 divided by 16 added to fraction 1 over 2 plus 4, then subtract 2

Half of 16 divided by 4 plus 32, then subtract 2

The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2

Answers

Answer:

D

Step-by-step explanation:

hope it helps u

The statement is the quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2 describes the expression 32 ÷ 4 + (1/2 x 16) - 2.

The given expression is "32 ÷ 4 + (1/2 x 16) - 2".

"32 ÷ 4" is the division of 32 by 4, which results in the quotient of 8. So, the first part of the expression simplifies to 8.

"(1/2 x 16)" is the product of the fraction 1/2 and 16.

Multiplying these values gives us 8.

Now, we have "8 + 8 - 2". Adding 8 and 8 gives us 16.

Subtracting 2 from 16 results in a final value of 14.

Therefore, the expression "32 ÷ 4 + (1/2 x 16) - 2" simplifies to 14.

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ASA (ANGLE-SIDE-ANGLE) Congruence postulate

ASA (ANGLE-SIDE-ANGLE) Congruence postulate

Answers

Answer:

Figure 1 (Top left)
△UVS ≅ △EON

Figure 2 (Bottom left)
△GHO ≅ △CAT

Figure 3 (Top right)
△ACB ≅ △EFD

Figure 4 (Bottom right)
△PRQ ≅ △VWX


Reason:
In Angle-Side-Angle congruence axiom, the congruent side must be included in between the 2 congruent angles [the reason is the same for all the above figures].


Hope it helps ⚜

# Figure 1

△UVS ≅ △EON \(\bold\green{[congruent \: triangle]}\)

# Figure 2

△GHO ≅ △CAT \(\bold\green{[congruent \: triangle]}\)

# Figure 3

△ACB ≅ △EFD \(\bold\green{[congruent \: triangle]}\)

# Figure 4

△PRQ ≅ △VWX \(\bold\green{[congruent \: triangle]}\)

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Help&EXPLAIN Dont use for points or will be reported and Ill take the points back

Answers

Answer:

No triangles because the by the above direction we can only make two legs of the triangle

hi pls send help
-
brainlist to best answer

hi pls send help-brainlist to best answer

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hi!

We will have to plug everything in to solve this!

So...

A. -3 * 2 > 6

-6>6 (WRONG)

B. 2 * 2 > 6

4>6 (WRONG)

C. 3 * 2 > 6

6>6 (WRONG)

D> 5 * 2 > 6

10>6 (CORECT)

Hope this helps :)

P.S. the star (*) stands for the multiplication sign!

giving brainliest to whoever gets it right

giving brainliest to whoever gets it right

Answers

Answer: i know the answer

Step-by-step explanation: plz plz pick me

Answer:

umm... i'm not sure. all i know is that they were rotated and reflected. sorry

Step-by-step explanation:

A restaurant wants to test a new in-store marketing scheme in a small number of stores before rolling it out nationwide. The new ad promotes a premium drink that they want to increase the sales of. 20 locations are chosen at random and the number of drinks sold are recorded for 2 months before the new ad campaign and 2 months after. The 90% confidence interval to estimate the true average difference in nationwide sales quantity before the ad campaign and after is (3.96, 28.79). Which of the following is the appropriate conclusion?
1) We are certain the average difference in sales quantity between after the ad campaign to before for all stores is between -3.83 and 1.83.
2) We are 95% confident that the difference between the average sales after the ad campaign and the average sales before the ad campaign is between-3.83 and 1.83.
3) The proportion of all stores that had a difference in sales between after the ad campaign to before is 95%.
4) We are 95% confident that the average difference in the sales quantity after to before of the stores sampled is between -3.83 and 1.83.

Answers

Answer:

2 or 4

Step-by-step explanation:

which operation results in a trinomial. (4x5-8x) (3x2-8x+9)

which operation results in a trinomial. (4x5-8x) (3x2-8x+9)

Answers

The operation that will result in a trinomial for the given expression is subtraction operator ( - ).

What is a trinomial?

A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.

The given polynomial expression;

( 4x⁵ - 8x ) ?  (3x² - 8x + 9 )

To simplify the given polynomial expression into trinomial, we will use the following operation.

The chosen operation will be such that, we will have only three terms left after simplification.

So we will choose subtraction operator "-"

( 4x⁵ - 8x ) -  (3x² - 8x + 9 )

= 4x⁵ - 8x  - 3x² + 8x - 9

simplify further; (-8x and +8x will cancel out)

= 4x⁵ - 3x² - 9

Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.

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Does (0, 0) make the equation y = 8x true?

Answers

Answer:

      Hence, (0, 0) makes the Equation Y = 8x TRUE

      0 = 8 * 0

      0 = 0

      TRUE

Step-by-step explanation:

Identify the  X-Intercept:

        X = 0

Identify the Y-Intercept:

        Y = 0

Substitute the indicated values:

        Y = 8 * 0

Substitute the indicated values:

        0 = 8 * 0

Judge Whether the Equation is TRUE:

        0  =  8  *  0   is:  TRUE

Determine the point:Hence, (0, 0) makes the Equation Y = 8x TRUE

        0 = 8 * 0

        0 = 0

        TRUE

Cheers to the person who also gave the (HINT) in the Comment Sections: Which makes the EQUATION (true).

Hope it helps!

If a disease outcome had odds of 1:1 in a high-risk subgroup, that would mean that the disease outcome would certainly occur (100% probability). True False

Answers

The answer is True since 1:1 is 100%

Lisa built a rectangular flower garden that is 4 meters wide and has a perimeter of 26 meters.
What is the length of Lisa's flower garden?

Answers

Given that :-

Width of garden is 4 meters

Perimeter of garden is 26 meters

To Find :-

Length of rectangular garden.

Solution :-

→ Perimeter = 2( Length + breadth)

→ 26 = 2 ( Length+ 4 )

→ 26/2 = Length + 4

→ 13 = Length + 4

→ Length = 13 -4

Length = 9 meters.

So the Length of Lisa's garden is 9 meters .

Answer:

9

Step-by-step explanation:

watch it and tell me what u think

Answers

Theres nothing to watch loll

A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
h(t) = 13.92
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
s
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
m/s
(d) If the stone is thrown downward with a speed of 6 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
s

Answers

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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What is an equation of the line that passes through the points (-4, -4) and (4, 6)?

Answers

Answer:

y = (5/4)x+1

Step-by-step explanation:

\(\frac{y+4}{x+4} =\frac{-4-6}{-4-4}\)

\(\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1\)

Which of the following is a result of shifting a circle with equation (x-3)2+ (y-5)2 = 36Which of the following is a result of shifting a circle with equation down 2 units

Answers

The equation of the shifted circle is (x-3)² + (y-3)² = 36.

Shifting a circle with equation (x-3)² + (y-5)² = 36 down 2 units means that we need to subtract 2 from the y-coordinate of the center of the circle. Since the center of the circle is (3, 5), the new center will be (3, 3) after the shift.

To find the equation of the shifted circle, we can simply replace the y-coordinate of the center with the shifted value in the original equation:

(x-3)² + (y-3)² = 36

This is the equation of a circle with center (3, 3) and radius 6, which is the result of shifting the original circle down 2 units.

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hello please help will give brainliest!

hello please help will give brainliest!

Answers

The answer is A. because the first part shows the ratio 3:2 and the other 2 shows equivalent ratios.

In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?

Answers

In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.

What is  population model ?

Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).

The model was given as y=151x(1.013)^t-1950

where the future time t = 2000

Then we can substitute the given year 2000 as the value of 't'

then we will have y=[151x(1.013)^(2000-1950)] = 288 million

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

Twelve tickets cost $30 --> True

Thirty tickets cost $12 --> False

Each additional costs $2.50 --> True

The table is a partial rep --> True

ordered pairs --> False

Step-by-step explanation:

Twelve tickets cost $30 --> True, you can literally see that in the table

Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.

Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.

The table is a partial rep --> True, values below 11 are not shown for example.

ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.

Pls help urgently extra points and mark brainlist easy reading

Pls help urgently extra points and mark brainlist easy reading

Answers

Answer: ravenous is a adjective

Step-by-step explanation: its the right answer giev me brainlist

100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached.

Answers

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

What are similar triangles?

Similar triangles are triangles that share these two features listed as follows:

Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

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Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?

Answers

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

find the first derivative with respect to x of the following function: f(x)=(7x+3)(4-3x)

Answers

Answer:

19 - 42x

Step-by-step explanation:

To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x

Ports M and N are 162 mi apart. A ship left port M for port N
at a speed of 45 mph. Forty-five minutes later, a second ship left
port N and steamed toward the first ship at a speed of 36 mph.
How long after the departure of the first ship will the two ships
meet?

Answers

It will take the two ships at ports M and N 162miles apart 2.33 hours to meet.

What is rate?

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

let the distance both ships meet be x and he time taken to get to x by first ship be t.

second ship: time taken to get to (160 - x) is (t - 0.75) 45 minutes is same as 0.75 hour

so speed of first sheep

45 = x/t

x = 45t--------------1

speed of second ship

36 = 162-x / t - 0.75

cross multiply

36(t - 0.75) = 162 -x

x = 160 - 36(t - 0.75) -------------------2

equate equation 1 and 2

45t = 162 - 36(t - 0.75)

multiply out

45t = 162 -36t + 27

45t+36t = 162+27

81t = 189

t = 189/81

t = 2.33 hours

In conclusion the time taken for both ships to meet is 2.33 hours

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2.2.3: Method definition: Volume of a pyramid.Define a method pyramidVolume with double parameters baseLength, baseWidth, and pyramidHeight, that returns as a double the volume of a pyramid with a rectangular base. Relevant geometry equations:Volume = base area x height x 1/3Base area = base length x base width.(Watch out for integer division).import java.util.Scanner;public class CalcPyramidVolume {/* Your solution goes here */public static void main (String [] args) {Scanner scnr = new Scanner(System.in);double userLength;double userWidth;double userHeight;userLength = scnr.nextDouble();userWidth = scnr.nextDouble();userHeight = scnr.nextDouble();System.out.println("Volume: " + pyramidVolume(userLength, userWidth, userHeight));}} If a body is moving on a straight line the velocity of 80 m/s where it changes it's velocity to 200 m/s in 10 seconds .What is its acceleration. Three 15.0 mL acid samples - 0.10 M HA, 0.10M HB, and 0.10 M H2C - are all titrated with 0.100 M NaOH.If HA is a weak acid, HB is a strong acid, and H2C is a diprotic acid, which statement is true of all three titrations?All three titrations have the same final pH.All three titrations require the same volume of NaOH to reach the first equivalence point.All three titrations have the same pH at the first equivalence point.All three titrations have the same initial pH. who is the first prime minister of India? When Agile teams, together with product owners, prioritize backlog items, which Agile technique are they relying on? Would you expect the two species to compete for food on this island? Support your answer with an explanation. Married couple plans to file separately wife age 64 gross income 4600 Given that the soviet Union fought in Afghanistan, why was it considered proxy war? Explain the reasons Mexico and Brazil have less arable land than other countries in the region.Will give brainliest! define the various technologies that are emerging as noted in the article. Note how these emerging technologies are impacting organizations and what organizations can to do to reduce the burden of digitalization. Why did the new immigrants of the late 1800s experience more discrimination than those of the early 1800s? WHAT PART OF REPRODUCTION DOES THE ENDOCRINE SYSTEM CONTROL?A. Egg MaturationB. CleavageC. Embryonic DevelopmentD. Fertilization In 1776, after the battles of Lexington and Concord, Thomas Paine published a pamphlet that challenged the authority of the British government and the royal monarchy. According to Paine, what were the reasons why it was difficult for Great Britain to rule the colonies? A bank pays interest semiannually with an Effective Annual Rate (EAR) of 13.70%. What is the periodic interest rate applicable semiannually? a.5.64% b.14.17%c. 6.07% d.6.63% e.13.26% the excerpt from a 1912 British governmentent.The document portrays which factor that led to WorldWar I?O globalismO imperialismO militarismIt is necessary for us to be prepared to meet a suddena tack at any time from this force; it will be impossibleto secure the safety of the United Kingdom unless weon our part maintain in Home Waters a superiority of atleast 25 percent in ships in a state of equal readiness.This means that we must keep four battle squadrons infull commission against the German three, and three ofthese squadrons should be composed of ships of the"Dreadnought" type.O nationalism Produce a statement of work (SOW) and decompose overall projectgoals.please providethis statement of work in 300 words with references How is the early foundation of civil rights movement similar to social justice movements we see today? Unlike the other groups of people in their region during the ancient middle east, the hebrews were monotheistic, meaning they:. Find the slope of the line Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.