x^2+x=3 then what is x^3-4x

Answers

Answer 1

By algebra properties, the values of algebraic expression x³ - 4 · x are - 3 and 0 for x² + x = 3.

How to derive the result associated to an algebraic expression

In this question we must derive the value of algebraic expression x³ - 4 · x based on the fact that x² + x = 3. First, determine the value of x by algebra properties:

x² + x = 3

x² + x - 3 = 0

x² + (2 - 1) · x + 2 · (- 1) = 0

x² + 2 · x - x - 2 = 0

x · (x + 2) - (x + 2) = 0

(x - 1) · (x + 2) = 0

x = 1 or x = - 2

The roots of x² + x = 3 are 1 and - 2.

Second, determine the values associated with the two roots found in previous step:

x = 1

y = x³ - 4 · x

y = 1³ - 4 · 1

y = 1 - 4

y = - 3

x = - 2

y = x³ - 4 · x

y = (- 2)³ - 4 · (- 2)

y = - 8 + 8

y = 0

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Related Questions

A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a population mean?.

Answers

the correct option is : (i)

She gives each student a pretest. Then she teaches a lesson using a computer program

What is Hypothesis testing?

Hypothesis testing is the process of evaluating two frequently contradictory claims based on population data and test data.

The appropriate response is provided by choice (i).

Simply said, a hypothesis is a supposition that we form based on our perceptions.

Therefore, statistics is all about information, a vast amount of information that is as valuable to us as information if we can analyze it and eventually come to some conclusions about it. To find out interpretation and conclusions about the information we mostly use.

Therefore,

the correct option is (i)

She gives each student a pretest. Then she teaches a lesson using a computer program. Afterward, she gives each student a pretest. The teacher is interested in seeing if the disparity in results indicates an improvement.

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I understand that the question you are looking for is:

"A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a difference in two population means?

(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.

(ii) She randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student has to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem.
(iii) She gives each student a pretest. She then randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a post-test. The teacher compares the improvement in scores (post-test minus pretest) in the two groups.

(iv) The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction."

HELP ASAP AND GET 20 POINTS!!!

Answers

Answer:

A

Step-by-step explanation:

point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.

Answer:

A. Circumcenter

Step-by-step explanation:

this is the point that has the same distance from all 3 vertexes.

being on the median line of DE, every point of that line has the same distance to D and E.

being also on the median line of FE means it has the same distance from F and E as every other point on that line.

and the same for DF.

H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.

so, H is the center of a circle that goes through all 3 points.

Use the scale of 1cm=45 km
The actual distance between two cities is 333 km. What is the distance between them on the map

Answers

Answer:

d = 7.4 cm is the distance between the two cities on the map.

Step-by-step explanation:

Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.

Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:

1 cm/45 km = d/D

Substituting, we get:

1 cm/45 km = d/333 km

d/333 km = 1 cm/45 km

(d/333 km)(333 km) = (1 cm/45 km)(333 km)

d = (333 km/45 km)(1 cm)

d = 7.4 cm is the distance between the two cities on the map.

Check:

1 cm/45 cm = d/333 km

1 cm/45 cm = 7.4 cm/333 km

1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained

Factor this polynomial.
-3x²-5x-2

A. (-3x+2)(x+1)

B. (3x-2)(x-1)

C. (3x+2)(x-1)

D. -1(3x+2)(x+1)

Answers

Answer: D. -1(3x+2)(x+1)

Step-by-step explanation: First, use the F.O.I.L. method (First, Outer, Inner, Last). Then combine all your like terms. After, multiply the whole outcome by negative one. So, 3[tex]x^{2}[/tex] turns into -3[tex]x^{2}[/tex]; 5x turns into -5x; and 2 is -2. BOOM! you got the exact right answer.

O 40
O 13
O 80
05
R
T
8x
12x + 20

Answers

answer is 5 because i did this before

rationalize the denominator !!!
please need help giving brainliest to all recent questions asked on my profile!!

Answers

Answer:

[tex]\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\[/tex]

[tex]1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}[/tex]

[tex]\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13[/tex]

[tex]= \frac{4+\sqrt{3}}{13}[/tex]

x = 4

y = 3

z = 13

Answer:

x = 4, y = 3, z = 13

Step-by-step explanation:

Multiply the equation by the opposite of the denominator

[tex]\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}[/tex]

WILL GIVE BRAINLIEST FOR CORRECT ANSWER AND EXPLANATION Belinda is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 15.6 feet, and the width is 10.8 feet. How much fencing material should she purchase to build the fence around the garden?
A. 168.48 ft
B. 54 ft
C. 52.8 ft
D. 26.4 ft

Answers

Answer:

C. 52.8 ft.

Step-by-step explanation:

Calculate the perimeter of the garden

[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]

The perimeter represents the length of the fencing material she needs

Hope this helps

Answer:

52.8 if u give me brainliest tht will be so help full:)

Step-by-step explanation:

A hat contains slips of paper with the letters A-Z printed on them. If you draw one at random, what is the probability that you will get a vowel?

Answers

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

What is probability?

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

How to determine the probability?

The given parameters are:

Letters = A - Z

Vowels = A, E, I, O and U

The above means that the number of letters and vowels are

n(Letters) = 26

n(Vowel)

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is

P(Vowel) = n(Vowel)/n(Letters)

Substitute the known values in the above equation

P(Vowel) = 5/26

Hence, the probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

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HELP ASAP PLEASE


Kaydence is saving for an RR$P. She saved $100 the first year, $200 the second year, $300 the third year, and so on. If she put $100 away on January 1, 2014. $200 away on January 1, 2015, and continued to put money away on the first of each year, how much money would Kaydence have saved by the end of the day on January 1, 2050?

Answers

Based on the information given, the total money that is expected Kaydance save is $70300

How much money will Kaydance save every year?

It is known she started saving $100 and each year she saves $100 more than the previous year. Also she will save a total of 36 years. This will be equal to:

100+200+300+400+500+600+700+800+900+1000+1100+1200+1300+1400+1500+1600+1700+1800+1900+2000+2100+2200+2300+2400+2500+2600+2700+2800+2900+3000+3100+3200+3300+3400+3500+3600+3700

How much money will she save in total?

100+200+300... = $70300

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Write an equation of the line that passes through (2, 0) and is perpendicular to the line
y = -x-3.
An equation of the perpendicular line is y =

Answers

Answer:

y =x - 2

Step-by-step explanation:

If the slope of the line is  'm', then the slope of the perpendicular to the given line = [tex]\sf \dfrac{-1}{m}[/tex]     (opposite reciprocal)

    y = -x - 3

Compare with equation of line in slope y-intercept form: y = mx +b

 m = -1

[tex]\sf \text{Slope of the perpendicular line = $-(\dfrac{1}{-1})= 1$}[/tex]

This line passes through (2, 0);

Equation of the line in slope - point form:

        [tex]\sf y - y_1 = m(x - x_1)[/tex]

       y  - 0   = 1 (x - 2)

            y = x - 2

Does the expected value of a random variable have to equal one of the possible values of the random variable? explain

Answers

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

E[X] stands for the expected value of a random variable. The expected value of a random variable is also known as its mean, in which case we use the notation X. It can be thought of as the "average" value obtained by the random variable.

Is the expected value always equal to the mean?

The primary distinction between "mean" and "expected value" is that the former is typically used to describe a frequency distribution and the latter, a probability distribution. In frequency distribution, variables and their occurrence frequencies make up the sample space.

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A triangular metal plate has base measuring 18 cm. Its height is unknown.

What equation models the area of this plate?

Let A represent the area, b represent the base, and h represent the height of the plate.

The model is based on the formula for the area of a triangle.

Answers

The area as a function of the height H is:

[tex]A= 9cm*H[/tex]

Which equation models the area of the metal plate?

We know that for a triangle of base B and height H, the area is given by:

[tex]A = \frac{B*H}{2}[/tex]

In this case, we already know that the base measures 18cm, then the formula for the area as a function of the height H is:

[tex]A= \frac{18cm*H}{2} = 9cm*H[/tex]

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I NEED HELP W THIS QUICK FIRST TO ANSWER CAN HAVE BRAINLIEST I GUESS
i added more pts cus idrc for em

Answers

Answer:

1. Multiply the slope by 2 and look at the numerator

2. 5/7

3. slide A

4. The run of slide a is shorter which means that its steeper because the rise is the same

5. 10

6. 5 units?

Step-by-step explanation:

#1

We would use the slope

We know

slope=tanØ

Here in slide B

tanØ=5/9

But

tanØ=Ladder/18

Then

9Ladder=90Ladder=90/9=10ft

#2

The slope of slide A

tanØ=15/21tanØ=5/7

#3 and 4

Compare tangents

tan(5/7)>tan(5/9) as their difference is +ve

Slide A is steeper

#5

Found in #1

#6

Slide A is higher as 15>10

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I well give 100 point and a crown but need to be answer in less then 20 mins


If I have 419 assignments to do and i have pleated completed 79 how much work will I need to do every day to finish in one week

Answers

Answer:

Step-by-step explanation:

419-79= 340 assignments left to do

340/7days=48.57..... or about 46 assignments a day to finish them all in a week

(1 week= 7 days)

I don't know if you were serious but good luck with all the work if you are

Answer:

47 on 6 days and 48 on 1 day.

Step-by-step explanation:

Firstly you need to subtract 79 from 419. You will have 330 assignments left and the divide 330 by 7 since there are 7 days in a week and you get 47.142 and so if you double check by multiplying 47 times 7 it gives 329 so then you get 47 on 6 days and 48 on 1 day. Hope this helps!

ABCD is a square.

Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark.

What is the measure of angle BAC?
30°
45°
60°
90°

Answers

Since ABCD is a square, and AC is the diagonal of the square, therefore, then,  angle BAC would be Option B. 45°

What is square?

A square is known as a quadrilateral with four interior angles of 90° each, and four equal sides.

Properties of a square include

The interior angles are equal to 90°All the sides are congruent or equal The opposite sides are parallel The diagonals of the square bisect each other at 90 degreesThe two diagonals are equal

Angle BAC is half the angle of the diagonal

= 90/2 = 45°

Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°

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how many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?

Answers

Answer:

8

Step-by-step explanation:

A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do [tex]216cm^3/27cm^3 = 8 cubes[/tex]

The number of cubes that fit on the 3 cm side times the number that fit on the 6 cm side times the number that fit in the 12 cm high side.

Which of the following segments is a diameter of o

Answers

Answer:

Segment UF

Step-by-step explanation:

Diameter is a line that passes through the center and meets the circumference at opposite ends.

Segments OF and WO are radii, and segment WM is a chord.

Marco built a circular table that has a radius of 3 centimeters. what is the diameter of the table ?

Answers

Answer:

Diameter = 2 x Radius / The answer should be 6.

Step-by-step explanation:

D = 2 x 3

= 6

I don’t know what the second part of the question means

Answers

Answer:

Hello!

independent variable: variable in an experiment that is changed e.g. a plant's exposure to light

dependent variable: variable in an experiment that is measured e.g. a plant's height

The question is just asking to identify these variables.

Hope this helps! Feel free to ask further questions if need be.

In the figure, is the perpendicular bisector of .

Prove:

A line CD is a perpendicular bisector of another line AB. A triangle is drawn by the points of A, B, and C.
Complete the proof.

Answers

CD is the perpendicular bisector of another line AB which can be proven below.

What is perpendicular bisector?

Perpendicular bisector is a line that divides another line into two equal halves in such a way that it creates an angel of 90°.

To proof that CD is the perpendicular bisector of another line AB the following is carried out;

Draw a line segment AB with length of about 5 cm.

With any radius greater than 2.5 cm, and compass fixed at A, draw 2 arcs, one above and one below AB.

With the same radius, compass at B, cut the 2 arcs drawn in step 2.

The line joining these two arcs is the perpendicular bisector of AB.

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Answer:

heres what i got

Step-by-step explanation:

2.  definition of a perpendicular bisector

5. reflexive property of congruence

11. definition of square root

Please help due right now !! pls show work thank uuuuu

Answers

Answer:

x=9.73

Step-by-step explanation:

This is trigonometry work! :)

So cos46°=x/14

          x=14×cos46°

          x≈9.73

Hope this helps <3

A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.

Answers

Answer:

2.25 ft

Step-by-step explanation:

Volume = length x height x width

54= 8 x 3 x ?

Combine: 54= 24 x ?

Find ?: 54/24=2.25

Recheck: 24 x 2.25 = 54

problem plot two points that are 8 88 units from point b bstart color #11accd, b, end color #11accd and also share the same x xx-coordinate as point b bstart color #11accd, b, end color #11accd.

Answers

The two points are B'=(-6,-8).

What is the plot?A plot is a graphical technique for depicting data collection, typically in the form of a graph that depicts the relationship between two or more variables. The storyline can be created either by hand or by computer. Previously, mechanical or electrical plotters were used.

To plot the points:

Plot a new point that is 8 units down and also has the same x coordinate.

Given - Point B = ( -6, 0 )

Represent the new point with B':

In Point B = ( -6, 0 )  

[tex]x=-6,y=0[/tex]

This means that B' has an x coordinate of -6.

Next, is to determine the y coordinate:

If a point (x,y) is translated b units down, the new point is (x, y, -b)

In this case:

The y coordinate of B is 0 and b = 8.

So, the new y coordinate is 0 - 8 = -8

So, we have B'=(-6,-8).

Therefore, the two points are B'=(-6,-8).

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Last year, during an investigation of the time spent reading e-mails on a daily basis, researchers found that on Monday the average time was 50 minutes. Office workers claim that with the increased spam and junk mail, this time has now increased. To conduct a test, a sample of 25 employees is selected with the following results: sample mean

Answers

The sample mean value is 0.26.

According to the statement we have given that the

Monday the average time was 50 minutes and we have to find the sample mean.

So, the values become

H(not):μ≤50

H(a):μ>50

Right Tail

The significance level, of the given number of employees then

α=0.05

And The value of sample mean, is

Z=x - u/i*(n)^1/2

then the value becomes

Z = 5.6 - 5/1.2*(25)^1/2.

then after calculating

Z= 1.6/1.2*5

Z= 0.26 And

Here The value of sample mean is 0.26.

So, The sample mean value is 0.26.

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Can someone help me with these problems and show work please !!

Answers

Answer:

I have just wrote answers

There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the shelf, y, is a function of the number of minutes, x, that the books have been added to the shelf. write an algebraic equation for the function.

Answers

The algebraic equation to represent the given situation is as follows,

y = 4 + 2x

What is an algebraic equation?

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Forming the Algebraic Equation

Number of book present on the shelf initially = 4

It is given that 2 books are added per minute to the shelf.

If x is the number of minutes, then the books added will be 2x.

If y is the total number of books present on the shelf, then the algebraic equation is given as,

y = Number of books initially present on the shelf  + 2x

⇒ y = 4 + 2x

Thus, y = 4 + 2x is the required algebraic equation.

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If a movie starts at 13:35 and it lasts 1 hour and 27 minutes. What time does it end at?​

Answers

Answer:

15:02 or 3:02 pm

Answer:

[tex]13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02[/tex]

Use vector operations to draw the resultant vector. Draw u – v + w

Answers

Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

What is the graph about?

In the  graph construction, We need to carry out a sum of vectors and then draw the resultant vector.

Note that the resultant vector need to be <4, 0>

Hence when we view the graph attached, we can say that the vectors areas:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

So, the sum = u - v + w

Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

Therefore, Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

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Ummm can y’all solve these problems I’ll give extra points for this
Pls solve step by step and label which is which

Answers

I hope this will help you in future problems!

Beau Thai has a rectangular mirror with a length of 6 inches and a width of 10 inches.
a) How much ribbon could Beau wrap around the outside of the mirror?
b) What is the area of Beau Thai's mirror?

Answers

a. Amount needed to wrap the outside of the rectangular mirror around = 32 inches.

b. Area of the Beau Thai's rectangular mirror around = 60 square inches.

What is the Area of a Rectangle?

Area of a rectangle = (l)(w), where l is the length and w is the width of the rectangle.

What is the Perimeter of a Rectangle?

Perimeter of a rectangle = 2(l + w), where l is the length and w is the width of the rectangle.

a. The amount of ribbon that can be used to wrap the outside of the mirror around can be determined by using the formula for the perimeter of a rectangle.

Length of rectangular mirror = 6 inches

Width of rectangular mirror = 10 inches

Perimeter = 2(6 + 10)

Perimeter = 2(16)

Perimeter = 32 inches

Amount needed to wrap the outside of the rectangular mirror around = 32 inches.

b. The area of Beau Thai's rectangular mirror can be determined by using the formula for the area of a rectangle.

Length of rectangular mirror = 6 inches

Width of rectangular mirror = 10 inches

Area = (6)(10)

Area = 60 square inches

Area of the Beau Thai's rectangular mirror around = 60 square inches.

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suppose that last year $1 u.s. exchanged for 1 euro. if this year $1 exchanges for 0.90 euro we can conclude that do the following study results require a post-hoc test to be performed? when testing four groups, it was found that exercise does not affect memory f(3,26)1.92,p>.05 yes no The value of Kw for water at 0C is 1 x 10-15. What is the pOH of water at 0C? 07.0 06.5 0 7.5 08.0 15.0 The AG for the reaction of CO2 (g) with elemental iron to generate iron(III) oxide and carbon monoxide is +29.6 kJ/mol. Calculate the equilibrium constant for this reaction at 25C. 2Fe(s) + 3C02(g) D Fe2O3(s) + 3CO(g) AG = +29.6 kJ/mol O 3.01 10-3 1.53 105 O 6.52 x 10-6 O 0.988 O 1.01 an oil film (nnn = 1.46) floats on a water puddle. you notice that green light (lambda = 546 nmnm) is absent in the reflection. What is the minimum thickness of the oil film? What must you do before adding the equations? multiply the second equation by 2 multiply the first equation by 1/3 multiply the third equation by 1/2. Prompt:Your task is to consider the information available about the Great Wall of China and write an ORIGINAL story thatcenters on the wall, China, its people, or all of these. Your story should include AT LEAST three pieces of informationabout the Great Wall from the links in the post, but otherwise is entirely up to your creativity. Will your story take place inthe past and be Historical Fiction? Or will your story take place in the present or the future and create new storylines forthe wall? You decide!Give me one story about china A. Use three-letter abbreviations to write the amino acid sequence for the peptide from 5?UUUGGGACCAAC3? mRNA sequences. Express your answer as a sequence of three-letter amino acid abbreviations separated by dashes. Type START or STOP for start and stop codons respectively. Example: Tyr-Val-...-Ile-STOP.B.Use one-letter abbreviations to write the amino acid sequence for the peptide from 5?UUUGGGACCAAC3? mRNA sequences. Express your answer as a sequence of one-letter amino acid abbreviations. Type START or STOP for start and stop codons respectively. Example: YV...I-STOP.C.Use three-letter abbreviations to write the amino acid sequence for the peptide from 5?CCUCGAAGCCCAUGA3? mRNA sequences. Express your answer as a sequence of three-letter amino acid abbreviations separated by dashes. Type START or STOP for start and stop codons respectively. Example: Tyr-Val-...-Ile-STOP. You find that by dissolving some amount of sugar into water, the melting point of the water is reduced by 3 degrees Celsius. Which of the following best describes how the sugar lowered the melting point? (a) The mixing of the sugar lowered the chemical potential of the liquid water.(b) The mixing of the sugar raised the chemical potential of the solid ice. (c) The presence of the sugar keeps the system from reaching equilibrium. The energy flux from a distant bright star is 1.6 x 10-8W/m2. How many photons per second enter your eye if the diameter of your pupil is 6mm. Assume that the average wavelength is 500nm. Three moles of oxygen gas areplaced in a portable container with a volume of 0. 0035 m^3. If thetemperature of the gas is 295 C, find (a) the pressure of thegas and (b) the average kinetic energy of an oxygen molecule. (c) Suppose the volume of the gas is doubled, while the temperature and number of moles are held constant. By what factor do your answers to parts (a) and (b) change? Explain Exempting food purchases from sales tax is consistent with the ability-to-pay principle, although not necessarily consistent with vertical equity. True False Calculate the ph of a 100ml buffer solution of 0.175m hclo and 0.15m naclo (a) which species has the highest energy-filled or partially-filled orbitals? Triangle ABC isright-angled at A, andAD is the altitude fromA to the hypotenuse BC. Find x. this molecule has formula c21h?no5. how many hydrogens are present? A large volcanic eruption triggers a tsunami. At a seismic station 250 km away, the instruments record that the time difference between the arrival of the tidal wave and the arrival of the sound of the explosion is 9.25 min. Tsunamis typically travel at approximately 800 km/h. (Use 343 m/s for the speed of sound in air. Use 2.00 109 Pa and 1000 kg/m3 as the bulk modulus of water and the density of water, respectively.) (a) Which sound arrives first, the sound in the air or in the water? a.)The sound in the air arrives first. b.)The sound in the water arrives first.Prove your answer numerically. vsound, air = m/s ; vsound, water = m/s(b) How long after the explosion does it take for the first sound wave to reach the seismic station? min(c) How long after the explosion does it take for the tsunami to reach the seismic station? min Choose the best place to add the following sentence. In contrast, the staff would use less time and money to make cold sandwiches. A. After sentence 7 B. After sentence 6 C. After sentence 1 D. After sentence 3 In order to estimate the difference between the average yearly salaries of top managers in private and governmental organizations, the following information was gathered: Develop an interval estimate for the difference between the average salaries of the two sectors. Let alpha = .05. (Assume sigma^2_1 = sigma^2_2) Refer to Exhibit 20.1. A shift of the demand curve from D' to D will O a. decrease the exchange rate from E' to E. O b. cause the foreign currency to appreciate. O c. cause the supply curve to shift. O d. increase the exchange rate from E to E. O e. cause the domestic currency to depreciate.