A chemical engineer has tested 56 water samples. These samples make up 25% of the total number of samples that need testing.
??
Select from the drop-down menu to correctly identify the total number of water samples that need testing.
??

There are a total of water samples to be tested. choices a. 1.4 b. 14 c. 168 d. 224

Answers

Answer 1

25% can be written as 1/4.

What This tells you, is that 56 is one fourth of the total amounts of samples needing to be tested. Therefore, 56 x 4 is the total amount.

56 x 4 = 224

So 224 is the correct answer.

I hope this Helps!

Related Questions

Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?

Answers

Assuming that Road C is perpendicular to Roads A and B.

650(2000) = 800x + 800(650)

x = 975 ft

the answer is 975 feet

Picture included!
What is the slope of the line shown in the graph?

A.) -1
B.) -2
C.) 1/2
D.) 2

Answers

By looking at the point 1,1 and 0,3 you rise two and over one creating the ratio 2/1 which reduces down to 2
:D

so, notice in the picture, let's use those points of 0,3 and 1,1

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 3~) % (c,d) &&(~ 1 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-3}{1-0}\implies \cfrac{-2}{1}\implies -2[/tex]

Graph this function f(x)=x^2-4x-5

Answers

In order to graph this function you need to get axis of simmetry (by dividing the number with the squared x between the other number with the x), the vertex where the function changes its direction and the x and y axes cutting points.

Answer:

Step 1: a = 1, b = -4

Step 2: x = 2, f(2) = -9

Step 4: (5,0) and (-1,0)

Step 6: f(0) = -5

On the graph the points plotted are (-1,0) , (0,-5) , (2,-9) , and (5,0)

Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form.

Answers

Let's begin with moving the constant to the side with f(x):
f(x) - 7 = x² + 10x

Next let's add (half of 10)² to both sides of the equation: btw that is 25 but on the right side we will leave it as 5² because it will make the factoring easier

f(x) - 7 + 25 = x² + 10x + 5²

Lets simplify the left side a bit and factor the perfect square trinomial on the right.

f(x) + 18 = (x + 5)²

Finally move the constant back to the side with the binomial

f(x) = (x + 5)² - 18

The vertex is (-5, -18)

Using the completing-the-square method the vertex form of the function

f(x) = x² + 10x + 7 is f(x) = (x + 5)² - 18

The given function is:

f(x) = x² + 10x + 7

Comparing f(x) = x² + 10x + 7 with f(x) = ax² + bx + c

a = 1, b = 10, c = 7

(b/2)² = (10/2)² = 5²

Add and subtract 5² to the right hand side of the equation

f(x) = x² + 10x + 5² + 7 - 5²

f(x) = x² + 10x + 5² + 7 - 25

f(x) = x² + 10x + 5² - 18

f(x) = (x + 5)² - 18

f(x) = (x + 5)² - 18 is of the form f(x) = a(x - h)² + k which is the vertex form of a quadratic equation

Therefore, the vertex form of the function f(x) = x² + 10x + 7 is

f(x) = (x + 5)² - 18

Learn more here: https://brainly.com/question/19105786

A sine function has the following key features:

Period = 12

Amplitude = 4

Midline: y = 1

y-intercept: (0, 1)

The function is not a reflection of its parent function over the x-axis.

How would this graph look??

Answers

Final answer:

A sine function with an amplitude of 4, period of 12, midline of y = 1, and y-intercept of (0, 1) would oscillate between 5 and -3, with a wave repeating every 12 units along the x-axis and starting upward from the y-intercept.

Explanation:

The graph of the sine function with the given properties will have the following characteristics:

The amplitude is 4, which means the function will oscillate 4 units above and below the midline.

The period is 12, indicating that it takes 12 units along the x-axis for the function to repeat its pattern.

The midline is y = 1, so the center of oscillation is not at the x-axis but is shifted upwards by 1 unit.

The y-intercept is (0, 1), which means the function starts at the midline.

Since the function is not a reflection over the x-axis, it means that it starts off going upwards from the midline.

Mapping these points, we can sketch the sine graph starting from the point (0, 1), curving up to a maximum of 5 (midline + amplitude), then down through the midline, reaching a minimum of -3 (midline - amplitude), and back to the midline at (12, 1), completing one full cycle.

helpppppppppppppppppppppppppppppp

Answers

x³-x²-17x-15║(x-5)
-------------------------------
-x³+5x² (x²+4x+3)----------- > the quotient q(x)
4x²-17x-15
-4x²+20x
3x-15
-3x+15

the quotient q(x) is x²+4x+3
the answer is the option x²+4x+3

find the arithmetic mean an of an-1 = 3.9 and an+1 = 7.1

a. 11
b. 5.5
c. 3.7
d. 1.6

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

We are asked to find arithmetic mean of two terms given.

For finding arithmetic mean, we add up the values and divide the sum by the number of values.

Here we have given two numbers , below

[tex]a_{n-1}=3.9[/tex]

[tex]a_{n+1}=7.1[/tex]

So, mean of these two numbers will be = [tex]\frac{3.9+7.1}{2}[/tex]

So, mean of these two numbers will be = [tex]\frac{11}{2}=5.5[/tex]

So, arithmetic mean for given two numbers are 5.5 : Answer (b)

Hope it will help :)

Answer:

b. 5.5

Step-by-step explanation:

FOR LEARNING ONLY.. not necessary to read, but I hope it helps!

you start with:

[tex]a_{n-1}=3.9\\a_{n-1}=7.1[/tex]

arithmetic questions like this are like finding an average.

so you add the values while dividing by the total of values there are.

in this case:

[tex]\frac{7.1+3.9}{2}[/tex]

which is simplified to:

[tex]\frac{11}{2}[/tex]

then decimal:

[tex]5.5[/tex]

helppppppppppppppppppppppp

Answers

Answer:
10.3 units

Explanation:
Triangle ABC is a right-angled triangle. This means that we can apply special trig functions.
We are given that:
angle B = 25 degrees and AB = 4 units
Therefore:
cos(B) = adjacent / hypotenuse
cos(25) = 4 / BC
BC = 4.414 units
tan(B) = opposite / adjacent
tan(25) = AC / 4
AC = 1.865

Finally, we can get the perimeter as follows:
perimeter = AB + BC + AC
perimeter = 4 + 4.414 + 1.865
perimeter = 10.279 which is approximately 10.3 units

Hope this helps :)

Known Values Angle A = 90°
Side c = 4
Angle B = 25°
Step #1: Find angle C by subtracting the other 2 angles from 180°.
C = 180° - A° - B°
C = 180° - 90° - 25°
C = 65°
Step #2: Use the Law of Sines to find side a.
a / sin(A) = c / sin(C)
a / sin(90°) = 4 / sin(65°)
a = (sin(90°) x 4) / sin(65°)
a = 4.414
Step #3: Use the Law of Sines to find side b.
b / sin(B) = c / sin(C)
b / sin(25°) = 4 / sin(65°)
b = (sin(25°) x 4) / sin(65°)
b = 1.865
So you have the sides
c = 4
b = 1.865
a = 4.414

The perimeter is all the sides added up
P = 4 + 1.865 + 4.414
P = 10.279
That can be rounded to 10.3 units

Hope this helps!

Choose the option that correctly completes the statement.

A triangle must have _____ one acute angle.
at most
at least

Answers

at least one acute angle

at least is the answer

What are the roots of the polynomial equation?

x2−14x−32=0

Answers

x2−14x−32=0
We can easily factor that into:
(x +2) * (x -16) = 0
x1 = -2
x2 = 16

We are given the quadratic equation :

[tex] x^{2} -14x-32=0 [/tex]

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

[tex] x^{2} -16x +2x -32 =0 [/tex]

Step 4:

Factoring by grouping.

[tex] x(x-16) +2(x -16) =0 [/tex]

[tex] (x-16) (x+2) =0 [/tex]

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.

We are given the quadratic equation :

[tex] x^{2} -14x-32=0 [/tex]

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

[tex] x^{2} -16x +2x -32 =0 [/tex]

Step 4:

Factoring by grouping.

[tex] x(x-16) +2(x -16) =0 [/tex]

[tex] (x-16) (x+2) =0 [/tex]

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.

Which statement about this product is true?

0.44 ×(−5 3/4)

It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.

It is equal to −5 3/4 because 4/4 is equal to 1, and 1 times any number equals that number.

It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6

It is less than −5 3/4 because multiplying by a number less than 1 gives a smaller number.

Answers

Answer:

It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6

Step-by-step explanation:

i guessed it and it was right so ye.

What is the simplest form of (8x2)3?

Answers

[tex] (8x^2)^3 = [/tex]

[tex] = 8^3 \times (x^2)^3 [/tex]

[tex] = 512x^{2 \times 3} [/tex]

[tex] = 512x^6 [/tex]

PLEASE HELP
8.04b

1. Eliminate the parameter.
x = 5t, y = t + 8

A) y = 5x + 8
B) y = x divided by five + 8
C) y = 5x - 8
D) y = x divided by five - 8

2. Eliminate the parameter.
x = square root of x , y = 3t + 7

A) y = 3x2 + 7
B) y = 3 square root of x + 7, x ≥0
C) y = 3 square root of x - 7, x ≥0
D) y = 3x2 - 7

3. Eliminate the parameter.
x = t2 + 2, y = t2 - 4

A) y = x - 6, x ≥ 1
B) y = x + 6, x ≥ 1
C) y = x2 - 6, x ≥1
D) y = x2 + 6, x ≥1

4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t

Answers

These are four questions and four answers:

Question 1. Eliminate the parameter. x = 5t, y = t + 8

Answer: option B: y = (x / 5) + 8 ↔ x divided by 5 + 8

Explanation:

1) From x = 5t => t = x / 5

2) Substitute t in y = t + 8 => y = (x / 5) + 8

Which is the option B) y = the division of x by 5, added to 8.

Question 2. Eliminate the parameter.

There is an error in the question, because it says x = √x

If the righ question is x = √t , y = 3t + 7 , then the answer is the option A) y = 3x^2 + 7

Explanation:

1) Given: x = √t , y = 3t + 7

2) from x = √t => t = x^2

3) Substitute t = x^2 in y = 3t + 7

=> y = 3 x^2 + 7 ↔ option A) y = x^2 + 7

Question 3. Eliminate the parameter.

x = t^2 + 2, y = t^2 - 4

Answer: option A) y = x - 6

Explanation:

1) From x = t^2 + 2 => t^2 = x - 2

2) Substitute t^2 in y = t^2 - 4

=> y = x - 2 - 4

=> y = x - 6, since t^2 is ≥ 0, then x ≥ 0

=> option A) y = x - 6, x ≥ 1

Question 4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t

Answer: x^2 + y^2 = 16

Explanation:

1) Square both sides of x = 4 cost

=> x^2 = (4 cos t)^2

x^2 = 16 (cos t)^2

2) Square both sides of y = 4 sin t

y^2 = 16 (sin t)^2

3) Add x^2 and y^2

x^2 + y^2 = 16(cos t)^2 + 16 (sin t)^2

=> x^2 + y^2 = 16 [ (cos t)^2 + (sin t)^2 ]

4) since (cos t)^2 + (sin t)^2 = 1

x^2 + y^2 = 16

.help please and thank you

Answers

it is the SAS Postulate

Use Side Angle Side (SAS)

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=125.6 \end{cases}\implies 125.6=2\pi r\implies \cfrac{125.6}{2\pi }=\boxed{r} \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\cfrac{125.6}{2\pi} } \right)^2[/tex]

Answer:

the answer is a

Step-by-step explanation:

i did the test

You enter 5 tickets into a raffle, in which a total of 65 tickets are entered. the announcer chooses two tickets from the pool of raffle tickets. what is the probability that you win both prizes from the raffle? write your answer as a fraction in simplest form.

Answers

P(win both) = (5/65)(4/64) = 1/208

About 65 out of 300 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?

Answers

21 percent prefer walking than riding the bus.

Final answer:

To find the percentage of students who prefer walking, divide the number of students who prefer walking by the total number of students and multiply by 100. In this case, 65 students prefer walking out of a total of 300 students.

Explanation:

To find the percentage of students who prefer walking, you divide the number of students who prefer walking by the total number of students and then multiply by 100. In this case, 65 students prefer walking out of a total of 300 students.

So, you divide 65 by 300 and multiply by 100 to get the percentage.

Percentage of students who prefer walking = (65/300) * 100 = 21.67%

Learn more about Percentage Calculation here:

https://brainly.com/question/32197511

#SPJ11

What is the area of this polygon?

Answers

The above polygon is a pentagon
The polygon has a rectangle and a triangle
Area of triangle FSCW
= Length × width
= 9 × 2
= 18 square units
area of triangle FNS
= 1/2 × base× height
= 1/2 × 9 × 6
= 27 square units
Therefore the area of the polygon is
= 27 + 18
= 45 square units

The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.

Answers

Let
E----------------> angle of elevation
D----------------> angle of depression
we know that
E=(3x+1)
D=2(x+8)
remember that
angle of elevation is equals to angle of depression------> by alternate angles
then
E=D
(3x+1)=2(x+8)-----------> 3x+1=2x+16----------> 3x-2x=16-1-----> x=15
E=3*15+1-------> 46°
D=2*15+16-----> 46°

the answer is
the measure of angle of elevation and angle of depression is 46°

Find the simplified form of the expression. Give your answer in scientific notation.

(9 x 10 5)(6 x 10 -7)

A. 5.4 x 10 -34

B. 1.5 x 10 -1

C. 5.4 x 10 -1

D. 1.5 x 10 -34

Answers

We have that exponents satisfy [tex]a^x*a^y=a^{x+y}[/tex]
Now we get: [tex](9*10^5)(6*10^{-7})=9*6*10^5*10^{-7}[/tex] by associativity of multiplication.
This is equal to: [tex]54*10^{5+(-7)}=54*10^{-2}[/tex] by the property we stated above, for a=10. Scientific notation requires that the coeeficient in fron tof the power of 10 is between 1-10 and thus since 54=10*5.4, we have that the expression is equal to: 5.4*10*[tex]10^{-2}[/tex]=[tex]5.4*10^{-1}[/tex]. Hence the correct answer is C

can someone help me with this?

Answers

Add up the values in row 1 and row 2, which correspond to the groups "under age 12" and "13 to 30 years old" respectively

6+7 = 13 individuals under age 12
7+4 = 11 individuals 13 to 30 years old
13+11 = 24 people total from the two groups

There are 6+7+7+4+4+1 = 29 people total from the entire survey

So the final answer is 24/29. It cannot be reduced further.

Suppose you find a rock and measure that 12.5% of the original uranium-235 still remains it, while the other 87.5% has decayed into lead-207. about how old is the rock?

Answers

Uranium-235 is an isotope of uranium that is fissionable and appears naturally. His half-life is 713x10^6 years (703 million years). Therefore, half of Uranium 235 decayed into Lead-207 in 1 half-life. Based on this, we know that in 1 half-life there will be 50% of Uranium-235 and 50% of Lead-207, in two half-lives there will be 25% of Uranium-235 and 75% of Lead-207, finally, in three half-lives there will be 12.5% of Uranium-235 and 87.5% of Lead-207. Then, we have:
713x10^6 years x 3 half-lives = 2139x10^6 years= 2.139 billion years.

How old is the rock?

The answer is: 2.139 billion years

A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pink or orange

Answers

Sample space = 17 + 7 + 4 = 28
P(pink) = 7/28
P(orange) = 17/28
P(pink or orange) = P(pink) + P(orange)
P(pink or orange) = 7/28 + 17/28
P(pink or orange) = 24/28
P(pink or orange) = 6/7 or 0.857143 or 85.7%

The data set represents a bimonthly progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 2 4 6 8 y 2.86 2.89 2.93 3.04 3.11 a. c. b. d.

Answers

The answer to this question id D

Answer:

y = 0.0027*x^2 + 0.0111*x + 2.8574

Step-by-step explanation:

Using Excel the procedure is:

First, insert x and y values in a table format, as can be seen in the figure

Then, select data

Next, go to insert tab and inside charts options select scatter plot without any lines

Finally, select a point in the plot, right-click, add trend line, polynomial order 2 and check display equation option

Which of these sequence is an arithmetic sequence??

Answers

Answer:

a and c

Step-by-step explanation:

Calculate the principal amount which earns $500 simple interest over 3 Years at a rate of 8% p.a round to the nearest cent

Answers

$500 was earned over 3 years
so, to find one year
500 ÷ 3 = $166.67

Interest for one year is $166.67
Interest rate for one year is 8%

8% = 166.67
1% = $20.83
100% = $2083.33

Principal amount is $2083.33

Final answer:

To find the principal amount that would earn $500 in simple interest over 3 years at an 8% annual rate, divide the interest by the product of the rate and period. The principal amount is $2083.33.

Explanation:

Calculating the Principal Amount from Simple Interest

To calculate the principal amount that earns $500 in simple interest over 3 years at a rate of 8% per annum, we can utilize the simple interest formula:
Interest = Principal × rate × time. Plugging in the known values, we get $500 = Principal × 0.08 × 3. This yields the equation $500 = Principal × 0.24.

To find the Principal, we divide $500 by 0.24, which gives us approximately $2083.33. Therefore, the initial principal amount is $2083.33.

please help attachment on please don't skip any parts

will get brainliest

Answers

I’m sorry but there isn’t an attachment.

Find the range of ƒ(x) = –2x – 5 for the domain {–2, –1, 1, 2}.

Answers

-2(-2)-5= -1 -2(-1)-5=-3 -2(1)-5=-7 -2(2)-5=-9

By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain

The given function is :

f(x) = -2x - 5

For x = -2 , f(x) is:

f(-2) = (-2*-2) - 5 = 4 - 5 = -1

For x = -1, f(x) is :

f(-1) = (-2*-1) - 5 = 2 - 5 = -3

For x = 1 , f(x) is

f(1) = (-2*1) - 5 = -2 -5 = -7

For x = 2, f(x) is

f(2) = (-2*2) - 5 = -4 -5 = -9

The range is -1 , -3 , -7 , -9

Hope this helps ..!!

Thank you :)

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=4.5\\ x=3 \end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k \\\\\\ 13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}[/tex]

Graph the following inequality and then select the correct graph below.

y ≤ x - 2

Answers

It would be the third graph for y<=x-2

Hope it helps.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y\leq x-2[/tex]

The solution of the inequality is the shaded area below the solid line

The equation of the line is [tex]y= x-2[/tex]

The slope of the line is positive [tex]m=1[/tex]

The y-intercept of the line is the point [tex](0,-2)[/tex]

The x-intercept of the line is the point [tex](2,0)[/tex]

therefore

the graph in the attached figure

Other Questions

Does the nature of intermolecular forces change when a substance goes from a solid to a liquid or from liquid to gas? Read the excerpt from The Land.Mister Ray Sutcliffe from Alabama did not look pleased. "All right. All right. I'm going to pay you what you asking, this four times a rider's wagesbut only if you win, you hear? You lose, boy, and you get nothing."I was taking a big risk with my daddy, to walk away with nothing for it. But I figured I'd struck the best deal I could with Ray Sutcliffe, and despite the risk, there was something in me that wanted to prove to my daddy not only that I could ride this stranger's horse, but that I was a man now. I nodded. "I understand," I said. "But if he wins, I'll need my money right after the race."What does this dialogue reveal about Paul?A: He is naive about business.B: He is confident in his abilities. C: He is afraid of his father.D: He is cautious in his decision-making. A part of the cytoskeleton of a cell, formed in prophase (in mitosis) or in prophase i (in meiosis), from which extend fibers that organize and separate the sister chromatids is called the ________. Find the perimeter of a square measuring 5.35cm on a side Malcolm is studying alone in his room when he hears a loud noise downstairs. his heart rate and respiration speed up. he wonders if a burglar has entered the house. when he looks downstairs, he sees that his cat just knocked over a plant. he begins to relax and his heart rate and breathing slow down. which part of his nervous system is working to return him to a normal state? 34+x=46;x=12 is this problem a solution Luiza delivers newspapers in her neighborhood. If you plot the points (1, 1), (4, 1), (4, 2) and (1, 2), you will create a representation of the route she takes, in miles. How many miles does her route cover? Choose the correct simplification of the expression (5xy5)2(y3)4. 25x2y22 10x2y22 25x3y14 10x3y14 Classify the following expression by degree and term: (2 points)x2y 7xy + xyz + x Read the excerpt from Sleep by Annie Matheson. What figure of speech does the line Tired roses, passionately sweet contain?Tired roses, passionately sweet,Are leaning on their cool green leaves,The mignonette about my feetA maze of tangled fragrance weaves,Where dewdrops meet:Kind sleep the weary world bereavesOf noise and heat.a.simileb.metaphorc.personificationd.hyperbole Who can help me with #9 a. and b. A web page that integrates content and scripts from multiple web sites to create new applications is known as a: helpppppppppppppppppppppppppp Name two ways that a cell would be harmed if the cell membrane were damaged. people often marry people who are like them?true false True or False in spanish speaking countries when saying you phone number you say each digit What prompted agribusiness owners int he late 1880s and early 1900s to recruit mexican laborers to come work on farms in the united states? the passage of the southern homestead act, which provided land to freed slaves, creating a need for more laborers. the passage of the illegal immigration reform prevented laborers from the caribbean immigration to the united states, so plantation owners needed a new source of labor. the implementation of immigration policies, such as the chinese exclusion act of 1882, which ended legal asian labor migration to the united states. a massive drought which required the replanting of crops on thousands of farms? Which of the following describes the contribution of Eratosthenes? discovery of the geocentric theory discovery of a mathematical formula to relate the sides of a right triangle calculation of the circumference of the world to within one percent calculation of the weight of ships by the amount of water they displaced Select all that applyIdentify the characteristics of pastoral nomadic societies. Select all that apply.1.) stayed in one place for many years2.) social status based on herd size and courage3.) strong centralized governments4.) societies organized in tribes and clans5.) temporary and movable homes6.) little surplus except livestock How did otto von bismarck lead the drive for german unification?