Martin tracked the amount of water he drank for an entire week. The bar graph shown here displays the information about his water consumption.
What is the mode of the daily data?
A) 8
B) 10
C) 12
D) 14

Answer:

Natural Capitalism as an idea and thesis for a book emerged in 1994, the year after the

publication of The Ecology of Commerce. After meeting with and speaking to different

business, government, and academic institutions in the aftermath of the book's

publication, it became clear to Hawken that industry and government needed an overall

biological and social framework within which the transformation of commerce could be

accomplished and practiced. To that end, articles and papers were written that became the

basis of a book about natural capitalism. A key element of this theory was the idea that

the economy was shifting from an emphasis on human productivity to a radical increase

in resource productivity. This shift would provide more meaningful family-wage jobs, a

better worldwide standard of living to those in need, and a dramatic reduction of

humankind's impact upon the environment. So while the context for Natural Capitalism

existed in a theoretical framework, the exposition did not.

Contemporaneously, Amory and Hunter Lovins were coming to the same conclusion: that

a shared framework was needed that could harness the talent of business to solve the

world's deepest environmental and social problems. Both were writing Factor Four:

Doubling Wealth, Halving Resource Use for publication in Germany in 1995. The senior

author of Factor Four, Ernst von Weizsäcker, among Europe's top innovators in

environmental policy, had teamed up with the Lovinses to pool the experience of their

respective nonprofit research centers—Wuppertal Institute in Germany and Rocky

Mountain Institute (RMI) in Colorado. The three authors had assembled fifty case studies

of at least quadrupled resource productivity to detail how, across whole economies,

people could live twice as well but use half as much material and energy. Factor Four

showed that such striking gains in resource efficiency could be profitable, and that

obstacles to their implementation could be hurdled by combining innovations in business

practice and in public policy.

Both Factor Four and The Ecology of Commerce urged the private sector to move to the

vanguard of environmental solutions. Factor Four described a creative policy framework

that could foster fair and open competition in achieving that success. The Ecology of

Commerce suggested techniques that when combined with business's unique strengths

could enable it to meet this challenge successfully.

Hunter Lovins sent a draft of Factor Four to Paul Hawken in early 1995. He saw that it

was the exposition that natural capitalism needed if it were to make its theoretical claims

credible and demonstrable. The ideas not only meshed, they were absolutely

complementary. We agreed to work together toward one book, under the title of Natural

Capitalism, that would contain both theory and practice. After the work began, we

discovered it wasn't that simple. Factor Four was anecdotal, Europe-oriented (by 1997 it

had also been published in England after being a German bestseller for nearly two years),

and written more for policy and environmental activists than for business practitioners. It

needed not adaptation but complete rewriting. Further, the examples offered concentrated

mainly on efficiency and did not take fully into account the need for the restoration of

natural capital nor for several other important elements of natural capitalism that go far

The correct statement regarding the normal distribution is given by:

D. The mean, median, and mode are located at the center.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] standard deviation [tex]\sigma[/tex] is given by:

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

Most measures of the normal distribution are concentrated around the center, which represents all of the mean, median and mode, hence option D is correct.

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Answer:

first and fourth

Step-by-step explanation:

x² - 4 = 0 ( add 4 to both sides )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

that is x = - 2, x = 2

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

that is x = - 2, x = 2

2 3 8 is equal to 2.375

Step-by-step explanation:

in fraction form

Answer: 1

the fourth root of 2

Answer:

y = x + 1

Step-by-step explanation:

Multiply the original by -Ax to find the perpendicular, then the point it lines up with on the y-intercept is so because there is a 1 difference between 5 and 6

Answer: 290

√17= 289

289 to the nearest 10th is 290

The statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.

To answer the question, we need to know what speed is.

Speed is the distance moved per unit time

Since Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. If there were relative motion between Alex and his friend, that is Alex or his friend were moving, each person would observe a different speed for the football.

Since there is no relative motion between Alex and his friend, they both observe the same speed for the football.

So, both Alex and his friend observe it as 10 m/s.

So, the statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.

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The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1

The polynomials are given as:

a = n

b = 2n + 6

c = n² - 1

The expression ab - c is calculated using:

ab - c = n * (2n + 6) - (n² - 1)

Expand

ab - c = 2n² + 6n - n² + 1

Collect like terms

ab - c = 2n² - n² + 6n  + 1

Evaluate

ab - c = n² + 6n + 1

Hence, the expression for ab - c is n² + 6n + 1

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The principal should buy 8 of type A and 3 of type B to get the largest possible storage space for books

Let x represent type A and y represent type B,

So, we have the following table:

                            x            y        Available

Floor space       0.6         0.8            7.2

Budget               10          20             140

Book hold          0.8         1.2

Using the above table, we have the following linear model

Objective function Min Z = 0.8x + 1.2y

Subject to

0.6x + 0.8y ≤ 7.2

10x + 20y ≤ 140

x, y > 0

Using a graph, the solution to the above system of inequalities is:

(x,y) = (8,3)

Hence, the principal should buy 8 of type A and 3 of type B to get the largest possible storage space for books

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Answer:

a- the sum = 0.0031

b- the fly is 0.0013 grams heavier

Answer:

Step-by-step explanation:

a).

2.2 × [tex]10^{-3}[/tex] + 9 × [tex]10^{-4}[/tex] =

2.2 × [tex]10^{-3}[/tex] + 0.9 × [tex]10^{-3}[/tex] =

( 2.2 + 0.9 ) × [tex]10^{-3}[/tex] = 3.1 × [tex]10^{-3}[/tex]

b).

2.2 × [tex]10^{-3}[/tex] - 9 × [tex]10^{-4}[/tex] =

2.2 × [tex]10^{-3}[/tex] - 0.9 × [tex]10^{-3}[/tex] =

( 2.2 - 0.9 ) × [tex]10^{-3}[/tex] = 1.3 × [tex]10^{-3}[/tex]

Answer:

The last graph is your answer.

Step-by-step explanation:

The midline of the function should be in between the highest and lowest y value.

Here's the midline should be at y=-1

Let find where our zeroes occur at

[tex]2 \cos(2x - \frac{\pi}{3} ) - 1 = 0[/tex]

[tex]2 \cos(2x - \frac{\pi}{3} ) = 1[/tex]

[tex] \cos(2x - \frac{\pi}{3} ) = \frac{1}{2} [/tex]

Take the inverse cosine of both sides

[tex]2x - \frac{\pi}{3} = \cos {}^{ - 1} ( \frac{1}{2} ) [/tex]

[tex]2x - \frac{\pi}{3} = \frac{\pi}{3} + 2\pi(n)[/tex]

Or

[tex]2x - \frac{\pi}{3} = \frac{5\pi}{3} + 2\pi(n)[/tex]

Solve for x. in both scenarios

[tex]x = \frac{\pi}{3} + \pi(n)[/tex]

[tex]x = \pi + \pi(n)[/tex]

So our zeroes occur at pi/3, and pi, and every pi units. So we should have a period of pi, and zeroes at pi/3, pi

The last graph is your answer.

The equation that is represented by the indicated graph is:
Y = ln X + 4 (Option C). See the definition of an equation below.

In mathematics, Equations are defined as mathematical statements or expressions where a string of factors that have been stated mathematically are equated to one another using the equals sign.

Hence the equation that represents the graphs is option C.

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Answer:

y = ln x + 4

just got it right on edge

La respuesta de cual es %15 de 400 es 60

Answer:

C = 4p

Step-by-step explanation:

Because it starts at 0 pounds costs 0 dollars, we know it starts at the origin and has no y-intercept. Because it rises up 20 dollars for every 5 pounds, we can use rise/run to do 20/5 to get an increase of 4 dollars per pound.

Answer:

58.92 deg

Step-by-step explanation:

Angle J

In a right triangle    tangent of angle = opposite side / adjacent side

Tan J =   opp / adj = 15.1 /9.1

 then arctan ( 15.1/9.1 ) = J  = 58.92 deg

Answer:

A) 17

Step-by-step explanation:

3x3=9x2=18-1=17

you start with parenthasis, then exponents, then mulitplication/division, and finally addition/subtraction

Answer:

17

Step-by-step explanation:

2 • 3² - 1

= (2 • 3²) - 1

= (2 • 9) - 1

= 18 - 1

= 17

Rember to use the PEMDAS order, where,

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

_____

Hope it helps ⚜

The answer that would best tell the combination of shapes that could make a piano are: 3 cylinders and a rectangular prism

The shape of a piano can be gotten from the way that the piano is built. A piano is known to have a shape that is like a chord, it also has the parts that is built like a rectangular prism.

In order to get the volume of the object, the different shapes that it has would be calculated individually using their formula.

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Answer:

Step-by-step explanation:

The explanation of the cost of a sample college would be the fact that fees such as tuition would be paid, other essentials that are necessary for the learning and development of the student such as books are also needed.

Given that a state college cost yearly includes:

Therefore, assuming that a community college cost would be less than the cost of a state college:

Hence, to find the sample community college costs after 2 years would be $95,000.

The sample state college costs after 4 years would be $238,136.

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Answer:

×= 64

y= 2

Step-by-step explanation:

×= 8

y=2

=x²+ y¹

= 8²+2¹

= 64+2

Answer:

64 = x^2 | y^1 = 2

Step-by-step explanation:

x squared= 8 squared or 8*8 so it's 64. y squared to the other of one is equal to 2*1 which is 2.

Answer:

Step-by-step explanation:

As we given that A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm.

So,

[tex]\bigstar[/tex]To Find Volume of soaps required in the hospital to prepare daily to serve 250 patients. Firstly we need to find The volume of Soap in each bowl for 1 patient.

Using formula:

[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf \red{\underbrace{Volume_{(Cylinder)} = \pi r^2 h}} \\ \\ [/tex]

On substituting the required values, we get:

[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \dfrac{22}{7} \times {(3.5)}^{2} \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{7} \times 12.25 \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{ \cancel{7} } \times{ \cancel{ 49}} \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = 22 \times 7 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf{ \red{ \underbrace{Volume_{(Cylinder)} = 154 \: {cm}^{3}}}} \\ \\ [/tex]

Hence, We have get the volume of soap for 1 patient is 154 cm³.

Now we need to find the volume of soap for 250 patients:

[tex] \\ \: \: \: \: \: \: \dashrightarrow \: \: \: \: \: \: \sf 154 \times 250 \\ \\ \: \: \: \: \: \dashrightarrow \: \: \: \: \: {\red{\underbrace {\sf {38500 \: cm^3}}}} \\ \\ [/tex]

Soap In litres:

[tex]\therefore[/tex]38.5 litres soup the hospital has to prepare daily to serve 250 patients.

Step-by-step explanation:

when picking (ahem, buying) a soccer ball, there are 75 total possibilities.

the chance to pick a bad one is then

4/75 = 0.053333333...

now we are buying 3 balls out of the 75.

how many possible options do we have ?

picks cannot be repeated, and the sequence does not matter, so we need combinations :

C(75,3) = 75! / (3! × (75-3)!) = 75×74×73/(3×2) = 25×37×73 =

= 67,525 possible groups of 3 balls.

from all these possibilities, how many have 2 good and 1 bad ball ?

as many as options we have to pick 2 balls out of 71 and 1 out of 4 :

C(71,2) × C(4,1) = 71! / (2 × (71-2)!) × 4! / (1 × (4-1)!) =

= 71×70/2 × 4 = 71×70×2 = 9,940 possibilities

so, the total probability to buy 2 good and 1 bad ball is

9940/67525 = 1988/13505 = 0.147204739...

Answer:

Bag of tulips = $ 7

Step-by-step explanation:

Given  :

12d + 6t = 198

6d + 7t = 127         <====== Multiply this equation by -2

-12d - 14t = -254      <==== now add this one to the top equation ( this will  eliminate 'd' )

   -8t = - 56

   t = 7  dollars

The  quotient of 2 3 / 5  ÷ 1 2 / 5 as a mixed fraction is 1 6 / 7

Quotient is the answer obtained when we divide one number by another. Therefore,

2 3 / 5  ÷ 1 2 / 5

let's convert the mixed fraction to improper fractions.

2 3 / 5  = 13 / 5

1 2 / 5 = 7 / 5

Therefore,

13 / 5  ÷  7 / 5 = 13/ 5 × 5 / 7

13/ 5 × 5 / 7 = 13 / 7 = 1 6 / 7

Therefore, the quotient of 2 3 / 5  ÷ 1 2 / 5 is 1 6 / 7

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Answer:

12.048 kg

Step-by-step explanation:

48 grams = .048 kg

12 kg + .048 kg = 12.048 kg

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