Michael

I have finished all my homework but I have one problem that I cannot answer. The teacher said that no one could probably answer this. Can someone help? We have to find the next three numbers in the pattern and explain the rule for the pattern. 8, 27, 64,...

19 years ago

From the play, "Inherit the Wind" What does it mean, when Hornbeck refers to Cates as "boy-Socrates, latter-day Dreyfus, Romeo with a biology book?" Why would he make those references? He is talking about his being an idealist.... a philosopher... not dea...

19 years ago

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 7 km and climbs at an angle of 45 degrees. At what rate, in km/min is the distance from the plane to the radar station increasing 2 minutes later? I kno...

19 years ago

Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right? I'm not seeing an f'(x) anywhere. Can...

19 years ago

1) Let x^3 + y^3 = 28. Find y"(x) at the point (3, 1). y"(3)= The correct answer is: -2*3*28 = -168 3x^2 + 3y^2(dx/dy) = 0 6x + 6y(dx/dy) = 0 dx/dy = -6(3)/6(1) = -3 That's as far as i get... i don't even know if that's started right... You have x^3 + + y...

18 years ago

Regard y as independent variable and x as dependant variable and find the slope of the tangent line to the curve (4x^2 + 2y2)^2 - x^2y = 4588 at point (3,4). Correct answer is -0.668827160493827 Here's what I did: 2(8x(dy/dx) + 4y) -2x(dx/dy)y + x^2 = 0 1...

18 years ago

Consider the function : 3x^3 - 2x^2 - 4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (-2,3) such that f'(c) is equal to this mean slope. Find the two values of "c"...

18 years ago

find the length of a line segment with endpoints (4, -3) and (-2, -1) The general formula is Length = sqrt[(x2 - x1)^2 + (y2 - y1)^2] In your case, that is sqrt [(-6)^2 + (-2)^2]= ...?

18 years ago

An artist entered two paintings (Lighthouse and Old Cathedral) in a show. He feels that the probabilities are, 0.15, 0.18, and 0.11, respectively, that he will sell the Lighthouse, the Old Cathedral, or both. What is the probability that he will sell eith...

18 years ago

If you roll a die many times, what would you expect to be the relative frequency of rolling a number less than 6? A) 2 out of 3

18 years ago

What is the exact value of cos 40 degrees cos 50 degrees minus sin 40 degrees sin 50 degrees do you know the formula cos(A+b) = cosAcosB - sinAsinB now compare it with your cos 40 degrees cos 50 degrees minus sin 40 degrees sin 50 degrees

18 years ago

What is the range of this data? 36,64,37,53,60 The smallest number is 36 and the largest number is 64. What do you think the range is? 28

18 years ago

Can sound exist in a vacuum? No Yes...my hoover is loud when I turn it on! Ignore Eddie's remark. His Hoover is not in a vacuum. It only creates a partial volume inside itself. Since sound is produced by the movement of molecules, and there are no molecul...

18 years ago

I was trying to figure what propagate meant. Can sound exist in a vacuum? Why or why not? Sound is a matter wave, it requires matter to propagate. Yes but i am 10 and trying to figure it out, i am sorry if i upset you. Did you read, or think about my resp...

18 years ago

The United States emitted 19.5 million t of nitrogen oxides (NO) into the atmosphere in 1987. One metric ton (1 t) equals 1,000 kg. How many kilograms of NO were emitted to the atmosphere in the United States during 1987? Assuming the 19.5 tons were metri...

18 years ago

For questions 20-21, begin with the following equation: y = 8x^2 + 10x + 3 . 20) Find the axis of symmetry. > -5/8 21) Identify the vertex as a maximum or minimum. > minimum ___________________________________ Please tell me if these answers are correct o...

18 years ago

For a snow sculpture content, snow is packed into a cube-shaped box with an edge of 8 feet. The box is frozen and removed, leaving a cube of snow. One cubic foot of snow weighs about 30 pounds. You can estimate the weight ( in pounds) of the cube using th...

18 years ago

I Don't understand any of this and its due tommorow and i don't get it, can you please help me. 1. 2/3 of a number m 2. The fifth power of 3 times a number y 3. The quotient of twice a nimber t and 12 4. Twice the difference of 8 and a number b.

18 years ago

A horizontal clothesline is tied between 2 poles, 20 meters apart. When a mass of 5 kilograms is tied to the middle of the clothesline, it sags a distance of 2 meters. What is the magnitude of the tension on the ends of the clothesline? Alright, so i have...

18 years ago

Find the point at which the line <1,-1,4>+t<3,4,-1> intersects the plane 4x-y-z=73. What process do i take to solve this problem?

18 years ago

In completing this discussion question, you may want to list the pros and cons of allowing more mineral exploration and mining on public lands in the United States. Consider these factors in reaching your decision regarding exploration and mining on these...

18 years ago

What are the physical features of the earth's surface called?

18 years ago

What was mercantilism and how did it shape the economic and political relationship between England and its colonies?

18 years ago

True or False...For several decades into the eighteenth century, American colonists continued to lead rather backward lives, isolated from British society and culture.

18 years ago

If 3 cm3 of a substance has a mass of 300 gm, what is its density?

18 years ago

I have to do an oral presentation on: Martyrs: Father Teodoro Santo Mejia & Father Victor Acuna Cardenas, Peru. I can not find any info anywhere on these people. Can anyone help???

17 years ago

4 Levels of Government

17 years ago

Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, whic...

17 years ago

A class writes the equation n+n+1+n+2=87 to solve the following problem. The sum of 3 consecutive odd integers is 87. Find the three integers. What error did they make? I don't know where to start. I'm confused, I need help!!! Help will be greatly appreci...

17 years ago

I can't remember how to integrate ye^ey with respect to y. Is it (y^2)e^xy? or do i need to do integration by parts? i just cant remember.

17 years ago

Find the mass of the triangular region with vertices (0, 0), (2, 0), and (0, 1), with density function p( x, y ) = x^2 + y^2. Im having trouble setting up this integral. This is what i came up with: 2 -.5x+1 S S (x^2 + y^2) dydx 0 0 Not sure if that's rig...

17 years ago

the cost in dollars of printing dollar bills when it costs 3.8cents to print a dollar bill

17 years ago

Is the apostrophe correct in this sentence? The trial embodied John Adams's strong inner sense of justice.

17 years ago

Lim [(1+x)^(1/x)] - e x->0 x

17 years ago

Can anyone help me identify different examples of "Fate/Destiny" throughout the story, Night, by Elie Wiesel??? Thanks Merry Christmas

17 years ago

Can someone help me solve this system by substitution? y=x-5 y=2x

17 years ago

I have to do a plot outline, can someone tell me, "what the traditional pyramidal structure to map the important parts of the plot" is?

17 years ago

A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees with the horizontal. How far will it travel horizontally before it hits the ground?

17 years ago

A rocket moving at 2000 m/s with a mass of 2000 kg releases gas at 500 m/s perpendicular to the direction of the rocket. The rocket moves at 18 degrees opposite of the direction that the gas was released. What is the mass of the gas released?

17 years ago

"A rocket with mass 1200kg reaches a speed of 300m/s when an explosion breaks it up into two parts with equal mass, and their speeds have a 25m/s difference. What are the speeds and how much energy is released?" Show all work. Thanks!

17 years ago

Find the Inverse Function: y=4x-x^2

17 years ago

A line tangent to y=(x^2)+1 at x=a, a>0, intersects the x-axis at point P. a) Write an expression for the area of the triangle formed by the tangent line, the x-axis, and the line x=a. b) For what value of 'a' is the area of the triangle a minimum? Justif...

17 years ago

A rocket is launched with an initial velocity of zero, and with acceleration in feet per second per second defined by: --------( 20e^(-t/2), for 0 <= t <= 10 seconds) a(t) = ( --------( -16, for t > 10 seconds) a) At what time does the rocket begin to des...

17 years ago

what normal kitchen ingredient will extract water from a grape

17 years ago

There are three salts that contain complex ions of chromium and have the molecular formula CrCl3 6H2O. Treating 0.248g of the first salt with a strong dehydrating agent resulted in a mass loss of 0.036g. Treating 248mg of the second salt with the same deh...

17 years ago

I'm a little uneasy about this one, so I thought I'd ask someone who knows - [QUOTE] (5z^3w/-6m^3)*(-6m^5/25z^9) (OR) 5z^3 -6m^5 ------ * -------- -6m^3 25z^9 Perform the Operations and Simplify[/QUOTE] It's a Multiple Choice. a)wm^2/5z^5 b)wm^2/5z^6 c)z^...

17 years ago

I need to know 3 things an HIV+ mother can do to prevent the spread of the infection to her child.

17 years ago

The Elisa test is how accurate?

17 years ago

Solce the system using the linear combination method. 5x-3y+2z=3 2x+4y-z=7 x-11y+4y=3 I already knw that there is no soulution for it but its not coming up like that on my work.

17 years ago

The area of a rectangular wall of a bran is 96 square feet. Its length is 4ft. longer than the width. Find the length and width of the wall.

17 years ago

this is suppose to be a location to go on a vacation... dreywoknowrkyen

17 years ago

How do you find the points of the derivative of a function just from the graph of the function? It wants me to find f'(0), f'(1), etc just from the graph-thanks

17 years ago

We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them? sec (x-1) / (x sec x) x approaches 0 ((3 sin (x)) 1 - cos(x)) / (x^2) x approaches 0 (sin (2x)) /...

17 years ago

Requesting help. (I must reckon, that X is a variable, and y is y-intercept) Q: Try to use the substitution method to solve the the linear system y=3x an y=3x-7. What do you notice? A) What happens when you graph it? B) Explain why there is no solution. A...

17 years ago

What is the subject and verb in the sentence "Past the large sign is a windmill?"

17 years ago

What are the derivatives? Thanks a) y = log(base2)(4-9x) b) y = x^(8x)

16 years ago

a ball is thrown hirizontally from the roof of a building 45.0 meters tall and lands 24.0 meters from the base. what was the ball's initial speed

16 years ago

i need the formula for the following... jennifer now earns $250 more than three times the salary she earned as a cashier. If she now earns $10,300 how much did she earn as a cashier? thank you

16 years ago

Integral from 1 to 3 of ( 19 + 2x - 20x ) dx thanks

16 years ago

What is meant by the quote "Hunger is the best pickle"

16 years ago

Farmer Fred can use two types of plant fertalizers, mix A and mix B. Type A contains 10 lbs of nitrogen, 8 lbs of phosphoric acid, and 9 lbs of potah in a cubic yard of each mix. Type B contains 5 lbs of nitrogen, 24 lbs of phosphoric acid and 6 lbs of po...

16 years ago

What is the integral of 20 * (sinx)^3 * (cosx)^2?

16 years ago

What are the advantages and disadvantages of organic farming?

16 years ago

determine the mass of the earth from the known period (365.25 days) and the distance of the moon (3.84X10^3 km)

16 years ago

Do coastal communities have higher temperature ranges?

16 years ago

I have this graph with the numbers Year population (thousands) 1950 132 1960 187 1970 254 1980 346 1990 466 2000 657 I need help in analyzing this data so that I can determine the year in which the population will reach 1,000,000 people. how would i make...

16 years ago

List all of the adjectives in the sentence: As the withered old woman approached the microphone, the audience became silent.

16 years ago

That large white house looks expensive. name all adjectives thanks

16 years ago

What is the difference between interspecific competition and intraspecific competition?

16 years ago

Explain how a calibration curve is produced

16 years ago

Assign oxidation numbers to each atom in the following compounds: HI, PBr3, GeS2, KH, As2O5, H3PO4 (the numbers should be subscripts)

16 years ago

What is Cinna's connection to Brutus in the play? I understand his role in the story, I just don't get how he connects to Brutus. Thank you for explaining this.

16 years ago

I need help with this question, A 4-ohm resistor is connected in parallel with a 6 ohm resistor. What is the total resistance of this pair of resistors? I know the answer is 2.4 ohms, but I don't know how to get it. Please help!!

16 years ago

A 100 watt lamp glows brighter than a 25 watt lamp. What do you know about the resistences of these two lamps. How can you increase their power.

16 years ago

How can you easily increase the magnetic field strength inside a current carrying coil?

16 years ago

A cat crouches on the floor, at a distance of 1.6 m from a desk chair of height .45 m. The cat jumps onto the chair, landing with zero vertical velocity. The desk chair has frictionless coasters and rolls away when the cat lands. The mass of the cat is 5....

16 years ago

A rubber ball is thrown against the wall. The ball has a mass of 4 g and strikes the wall perpendicularly with a speed of 12 m/s. The acceleration is constant while the ball is touching the wall. After touching the wall, the center of mass moves .5 cm tow...

16 years ago

I need to calculate P(man is a ballet dancer and a musical performer) given the following information... In a random sample of male and female graduates of the New York School for the Arts between the ages of 22-35 you know that: the probability a man is...

16 years ago

Calculate the equilibrium concentration of each compound if 0.340 moles of HI are placed in a 5.90 liter container at 520°C. Kc = 0.170 for the reaction at this temperature. soo i tried doing this by setting up an ICE table and finding what x equaled buuu...

16 years ago

Write a reaction showing what happens to the following in water and identify te conjugate pairs. C6H5NH3 CO3_-2 HCOOh

16 years ago

Find cos(a=b). sin a = 3/5, a lies in Quadrant II, and cos b = 5/13, b lies in Quadrant I.

16 years ago

Hi, we are working on commas. I was wondering if I put the commas in the right places in this sentence: Please mail this to Donna Harris, 328 Maple Street, Branford, Connecticut 06405.

16 years ago

I am working on placing commas in the correct place. The sentence is: On June 11, 1994 I visited the Empire State Building. It is 1,250 feet tall, 100 feet shorter than the World Trade Center.

16 years ago

Are the commas in the correct spots? Write me at 57 Bank Street, New York, New York 10014

16 years ago

5 paragraphs on how a city establishes food and water?

16 years ago

Are the commas in the right place, thanks!!! At the end of construction, in 1959, the Seaway had seven locks and a depth of at least 27 feet.

16 years ago

Are my commas in the correct place? An island, Goat Island, in New York separates the two falls.

16 years ago

How many degrees in a hexagon?

16 years ago

15.67 divided by 1.6 round to the nearest tenth my answer: 10

16 years ago

I still don't understand how many degrees are in a hexagon. Any help would be great!

16 years ago

Thank you for the web-site! It makes sense now!

16 years ago

Could someone explain how to figure out this problem? If I make 5 out of every 18 shots I shoot, how many should I make if I shoot 100 shots?

16 years ago

If I make 5 out of every 18 shots I shoot, how many should I make if I shoot 100 shots? I get 27, is that correct?

16 years ago

In a mayor's race of three candidates, Isaac received 4,000 votes, Benoit received 6,000 votes, and Rene received 1/3 of the votes. What was the total number of votes cast in the election?

16 years ago

compute 11,111 squared I tried this on the calculator but not sure of the answer

16 years ago

wait, how do you know its 8by8by8? can you explain it to me please

18 years ago

It says translate the verbal phrase into an expression. 1. 2/3 x m 2. 3to the 5th power x y 3. t+12 4. 8-bx2 Did i do them right?

18 years ago

Thanks for the help =D

18 years ago

The height goes with the 2, and the base goes with 3. Ratios can also be written as fractions. Just set up a simple equation and solve. 2/3 = 5/b Cross multiply. 2*b=5*3 2b=15. Divide by 2 to isolate b. b=15/2 or 7.5m

18 years ago

Static characters don't go through any significant changes throughout the course of the book. They are basically the same person at the end that they were at the beginning. A dynamic character does go through a significant change. (Typically, main charact...

18 years ago

It's more helpful to learn how to solve equations than to just give you the answer. Here's a similar equation... 7x - 4 - 9x = 14 We need to get all the x-terms on one side and all the non-x-terms on the other side. The most important thing to remember is...

18 years ago

To determine each batting average, divide the number of hits (first number) by the number of attempts (second number). For example "212 hits in 499 at bat," you would divide 212 by 499. (That would be 212/499.) Their batting average would be .4248. Do tha...

18 years ago

A picture would help with this one... It's going to be a right triangle. The height is going to be 15m. The lower angle is 50 degrees. We're trying to find the hypotenuse, so assign that a variable like x. You can use the sine function, which I'm sure you...

18 years ago

You just have to guess-and-check for factoring. (After guessing, FOIL to make sure that it works out.) Typically, the numbers will be the closest factors of the number. For example, 12 = 4*3. (Those are the closest factors.) 6 = 3*2. (Those are the closes...

18 years ago

Solving a system of equations... There are two methods of doing that. You can use (1) substitution or (2) elimination. Elimination seems like the easiest in this case. To do that, we want to cancel one of the variables. Just multiply the top equation by 2...

18 years ago

Glad to help. :)

18 years ago

By definition of power, it's just the number of 5's that you are multiplying together. If it were 3 * 3 * 3 * 3, the answer would be 3^4 because there are four 3's.

18 years ago

It's rational. Any number that ends is rational. Any number that goes on forever is irrational.

18 years ago

mixture

18 years ago

A time line is typically a straight horizontal line drawn across a sheet of paper. Short (less than 1 in.) horizontal lines are drawn in equal increments along the horizontal. Years are written below each vertical line, and information regarding the assig...

18 years ago

Ms. Sue - how did you type a link?!? Every time I try to do that, it blocks me.

18 years ago

distance = rate * time height = 5.2 * 340 = 1768m It should be as simple as that.

18 years ago

Oh, sorry. I didn't mean to give wrong information.

18 years ago

Maybe these examples will help. I believe this is how to do them. Expanded form of 40.035 is... 40 + .0 + .03 + .005 Word form of 40.035 is... 4 tens + 0 ones + 0 tenths + 3 hundredths + 5 thousandths Fraction of 40.035 is... 8007/200 (I used a graphing c...

18 years ago

12*20 = 240 240 - 188 = 52

18 years ago

yard 40*20 = 800 pool pi*(6^2) = 113.04 yard - pool 800 - 113.04 686.96

18 years ago

False. Acting at its full potential, it will be producing on the curve. Below/to the left of the curve is an inefficient use of resources, and above/to the right of the curve is not possible without an increase in resources (like technological advances).

18 years ago

The answer is that any animal whose name contains three letters can get you into a dance. Kinda silly riddle, huh?

18 years ago

who r u ?? r u in Amity school?? cuz we have same h.w

17 years ago

oops, that was supposed to be ye^xy

17 years ago

First, factor out a negative. -(x^2 + 7x - 10) -(x + 2)(x + 5) Actually, it's not factorable. The only factors of 10 are 5 and 2. The 5 and 2 have to add up to be 7, so they both must be positive. However, the product of 5 and 2 must be -10, which cannot...

17 years ago

All you have to do is plug x into the polynomial. For x=-3, you would have -(-3)^2-5(-3)-6. Simply that to get your solution (which should be just a number). Then, plug in -2 for the second part, simplify, and you're done.

17 years ago

Wait, you said .1 percent... that would be ".001p" rather than ".01p" unless you meant 1 percent.

17 years ago

Write equations to model the situation. j=50+.01p c=p-(50+.01p) where p is the daily profit, j is Jack's salary, and c is Clay's salary Since their salaries will be the same, set j equal to c. 50+.01p = p-(50+.01p) Solve the equation for p, and you should...

17 years ago

A regular square pyramid has a square on the bottom. Each side of the square is the base of a triangle, (so there are four triangles). The base is a square. Lateral area is the surface area of a 3D figure, but excluding the area of the base. The area of e...

17 years ago

From my Economics book, "The equilibrium wage is established when the quantity of workers supplied and the quantity of workers demanded is the same at a particular salary."

17 years ago

It is a mean, or average. The company is using random samples to get the mean life expectancy of its policyholders.

17 years ago

You want to answer as many of type B as possible because they're worth the most points. 10*7 = 70 That leaves eight questions of type A that you can answer. 8*4 = 32 70 + 32 = 102

17 years ago

To start, all the fractions must have a common denominator (bottom number). That will be the lowest number by which all the denominators (3, 6, and 8) can be divided. In this case, the common denominator is 24. Now you need to see how to change all the fr...

17 years ago

Here's a rough translation... There are 70 people waiting in line to buy tickets for a concert. When all the tickets were sold, 31 people were still in line. About how many people got/obtained tickets? In a bag, there are 3,929 beans. Someone pours out/sp...

17 years ago

You would need specific numbers to actually find that out. A few tips... Mass differs from weight in that it is not affected by gravity. Mass is constant regardless of the location, as it is not changed by gravitational pull. It is the measure of matter i...

17 years ago

a) Yes, mass is constant regardless of location. b) Weight = Mass * Gravity Weight = 2.1kg * 9.8 m/s^2 Weight = 20.58N There are three, so 61.74 N is the answer. c) Gravity on the moon is about 1/6 that of the earth. It is 1.6 m/s^2. Weight = Mass * Gravi...

17 years ago

2(y-6) = 3y + 12 - y Start by combining the y's on the right side. 2(y-6) = 2y + 12 Now do the distributive property on 2(y-6) to get 2y-12. (Both the y and the -6 are multiplied by the outside 2.) 2y - 12 = 2y + 12 Get all the numbers without variables (...

17 years ago

Nonverbal communication can be a more subtle way of communicating than verbalizing all of your opinions. To call a meeting to order, you can stand up to command everyone's attention. To regulate the flow of conversation, you can point to people so that th...

17 years ago

What are you trying to find? Area? Perimeter? What?

17 years ago

5 - 6x = 12 Subtract the 5 from both sides. 5 - 6x - 5 = 12 -5 -6x = 7 Divide by -6 to isolate x. x = -7/6

17 years ago

For this problem, the distributive property is a must. It states that... a(b+c) = ab + ac For example, 3(9+2) = (3)(9) + (3)(2) = 27 + 6 = 33 Usually, we would just do 3(11) = 33, but that is just an example. 7(x+4) = 7x + (7)(4) = 7x + 28 Try to do that...

17 years ago

photosynthesis and cellular respiration

17 years ago

1 joule = 0.001 kilojoules 2240.48 joules = 2.24048 kilojoules Just move three decimal places to the left.

17 years ago

I would agree.

17 years ago

Your question is incomplete.

17 years ago

You can easily google terms. Just go to Google and type in define:phenomenology. Also, you can search an online dictionary like Webster or Dictionary.

17 years ago

-2x + 4 > 12 First, divide by 2 on all terms. (Or you can subtract the 4. It doesn't matter.) -x + 2 > 6 Subtract the 2. -x > 4 Divide by -1 on both sides. Don't forget to switch the inequality sign when dividing by a negative number. x < 4

17 years ago

6(x/6) + 6(3) = 6(9) (You forgot to multiply the 6 by ALL terms in your work.) x + 18 = 54 Subtract the 18 on both sides. x=36 I would do it this way, but you get the same answer... x/6 + 3 = 9 Subtract the 3 from both sides. x/6 = 6 Cross multiply and di...

17 years ago

Should that be 24 PAIRS of two fair dice?

17 years ago

The probability of not throwing a double six in 24 throws is:- =power((35/36),24)) = 0.5087 The answer should be 1 - 0.5087 then, which equals 0.4913. (I couldn't wrap my brain around this, so I googled "dice probability double 6" without quotes. The abov...

17 years ago

No problem. :) A helpful hint is that you can solve inequalities as you would any other equation. Just pretend the inequality is an equal sign. (But if you're dividing by a negative, don't forget to flip the sign.)

17 years ago

Each time you roll, your probability of rolling a 6 is 1/6. You have four rolls, so multiply by 4 to get 4/6, or 2/3.

17 years ago

Model the situation by making an equation. Let d be the number of ducats in the purse. d - 1/4 - 1/5 - 1/6 = 9 Get a common denominator with the fractions. There may be a number lower than 60, but that's what I'm going to use. (I multiplied 4, 5, and 6 to...

17 years ago

Variable costs change based on how much of a product you produce. For example, if you're in the straw business, plastic would be a variable cost. If you make 100 million straws, you use more plastic than if you make just 50 million. Fixed costs don't ever...

17 years ago

What do you mean by "do" them? Do you mean solve them or factor them? Is there a particular example you would like worked out?

17 years ago

This may also be it... If I had 100 ducats, I would end up with 50 ducats. 100(3/4) = 75 75(4/5) = 60 60(5/6) = 50 Trying similar numbers, the result of all the spending is always 1/2 of what you start with. That would lead to an answer of 18 ducats. Not...

17 years ago

n+(n+1)+(n+2)+(n+3)+(n+4) is good. Now, square each of those. (n^2) + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 (n+1)^2 = (n+1)(n+1) and use FOIL n^2 + 2n + 1 Do the rest. (n+2)^2 = (n+2)(n+2) = n^2 + 4n + 4 (n+3)^2 = n^2 + 6n + 9 (n+4)^2 = n^2 + 8n + 16 Now...

17 years ago

Glad to help. :)

17 years ago

Close, except you have to subtract 5x from both sides. (You just subtracted 5 from the right side.) 5x + 6y = 18 Subtract 5x from both sides. 6y = 18 - 5x Divide by 16 y = (18-5x)/6 or 3 - (5/6)x All right. I think you must have done it correctly, and you...

17 years ago

Oops... that should say... 6y = 18 - 5x Divide by 6 (not 16).

17 years ago

I think it's C. It's definitely not B. If you make too much yet sales remain constant, your net operating income will be less because you have extra product.

17 years ago

Let w be the width of the rectangle. L = w + 3 (L - 3 = w) 2L + 2w = 78 2L + 2(L-3) = 78 2L + 2L - 6 = 78 4L = 84 L = 21 in. W = L - 3 = 21 - 3 = 18 in.

17 years ago

Not a problem. For example, if you have 4^2, that is the same as 4*4. If you have x^2, that is the same as x*x. Squaring is just multiplying the number or quantity by itself. (n+1)^2 = (n+1)(n+1) Now, we are going to FOIL (n+1)(n+1). First, outer, inner,...

17 years ago

x^2 + x - 2 = 0 a = 1, b = 1, c = -2 are the variables. The formula is "the opposite of b plus or minus the square root of b squared minus 4ac all over 2a." If you click "Mathematics" on the right, a tutorial on the quadratic formula is available. Go to "...

17 years ago

I believe so. Try googling "thermodynamics food chain" without quotes and go to the first page that comes up... it's called "Trophic Levels and Food Chains."

17 years ago

Aviator - man (John or Jack) Art Critic - woman (Joan or Jane) Joan - not art critic ("perspective" is an art term) John - misogynist (hates women, so not married) That means... Aviator - Jack Art Critic - Jane That leaves John and Joan. One is the acroba...

17 years ago

Well, demand is going to go down because people don't want to go to a hurricane area. Supply will also go down because some homes and places are destroyed by the hurricane. Since both go down, market equilibrium will also go down.

17 years ago

Maybe you're just supposed to plug any number in for x to show that you can use the equation correctly. I'm not sure, though. It's not very clear.

17 years ago

To refute means to prove wrong by argument or evidence. Start with something like "Mike Smith should be a presidential candidate because..." Then, finish it with some evidence for why he should be a presidential candidate.

17 years ago

A half-life is how long it takes for a radioactive isotope to decay by half. At 2 PM, you will have .5 grams of the material. Each hour thereafter, divide the material by half to see how much remains.

17 years ago

The email is not audience-centered because from the email's context, it seems like the new employee is foreign. He would be unlikely to understand phrases like "ASAP" and "pleased as punch." Also, the first sentence contains no subject, which may confuse...

17 years ago

The sentence is just too long. How about this revision? Heidegger's poor ethics prove that his philosophy is unfounded. He collaborated with the Nazis in running German universities in the 1930s, firing all the Jewish professors in the process.

17 years ago

You should start by drawing triangles to model the problem. Tell us how you would go about solving the problem, and then we can critique your thinking.

17 years ago

Oh, sorry. I didn't understand the question. Slippery slope states that "Event X has occurred (or will or might occur), therefore event Y will inevitably happen." It doesn't sound like that. "Phony refutation: It’s not real refutation of an argument to po...

17 years ago

Simply plug in 12 for x... y = (-5/6)(12) + 3 = -10 + 3 = -7

17 years ago

There is a Wikipedia article on the topic. You can google "null hypothesis" without quotes, and it should be the first website that appears.

17 years ago

From the Wikipedia article that I told you about earlier... "Under traditional null hypothesis testing, the null is rejected when P(Data | Null) (where P(x|y) denotes the probability of x given y) is very small, say 0.05."

17 years ago

I'm not quite sure... I haven't taking a Statistics course. Maybe someone else can confirm your logic.

17 years ago

haven't taken*

17 years ago

(a) 7.2% = .072 .072 * 20 = 1.44, or 1 parent (I don't know if we should account for two parents per student, in which case it would be 2.88, or 2 parents.) I don't know about (b) or (c).

17 years ago

We're dividing by -3, so r (the common ratio) is -1/3. The -1/3 is the number by which we're multiplying the previous term. The common ratio always has to be the number that is MULTIPLIED to get the next term. In this example, (-12)(-1/3) = 4 and 4(-1/3)...

17 years ago

Can you be more specific? For starters, are you given an equation or the graph?

17 years ago

The first one is correct, except I would have used "p" as the variable for "profit." p = 3x + 5y The second one is also correct. Again, I would have used "c" as the variable for "cost." It's just helpful to understand the relationship between the variable...

17 years ago

When proving these, you should only change ONE side of the equation. Pick one side, and try to get it to match the other. For the first one, it's important to note the double-angle identity for cosines. There are three versions, but since both sides conta...

17 years ago

Well, if you look at the graph, your axes should be labeled. The horizontal is the x-axis, and the vertical is the y-axis. (You probably knew this; I don't mean to insult your intelligence.) Anyway, there should be some points that you can pick out by obs...

17 years ago

You needn't shout. Her action is not ethical. The employees are harmed because they're losing $900. I'm not sure about the rest, though.

17 years ago

cos2(2x) should be cos(2(2x)). That 2 can't be floating around outside the cosine function. In any case, cos(2(2x)) is the same as cos(2*2x).

17 years ago

I was looking at another of your questions, and in Npgm's proof, he/she modified both sides of the equation. You absolutely cannot do this. You must change only one side of the equation. My teacher called this "math etiquette," but it is etiquette that mu...

17 years ago

I'll try to explain the two lines better... 2cos^2(2x) - 1 This is like 2(cos^2(2x)) - 1. In this line, we're changing only the cos^2(2x). When the squared is written on the "cos" part, that means the entire function is squared. Therefore, cos^2(2x) is th...

17 years ago

(Just to clarify, I wrote the one-side bit before I saw your other question. Sorry for the confusion.)

17 years ago

Do you mean... why isn't (cos(2x))^2 equal to cos(4x^2)?

17 years ago

No, it would be much harder. It's always easier to expand than to condense. Expansion of the identities is a very important concept. cos(2x) = 2cos^2(x) - 1 If it's cos(4x), then that's like cos(2*2x). Everything in the expansion is the same except the x...

17 years ago

From Wikipedia... The central holding of Roe v. Wade was that abortions are permissible for any reason a woman chooses, up until the "point at which the fetus becomes ‘viable,’ that is, potentially able to live outside the mother's uterus, albeit with art...

17 years ago

I'm working on it...

17 years ago

To answer your other question, the "2cos^2(2x) + 8cos^2(x) - 2" comes from the previous line... 2cos^2(2x) - 1 + 4(2cos^2(x) - 1) + 3 Just the consonants: -1 - 4 + 3 = -2

17 years ago

Well, you've chosen the wrong side to work with. You cannot expand 8cos^4(x). For the double-angle identity to work, a number has to be multiplied by the x. (The 4 isn't multiplied; it's the power.) Work on the right-hand side (cos4x + 4cos2x + 3) and see...

17 years ago

You didn't do 4cos(2x) correctly. Our double-angle identity is... cos(2x) = 2cos^2(x) - 1 (Memorizing it will be very helpful.) 4cos(2x) 4(2cos^2(x) - 1) Distribute the 4 in and continue.

17 years ago

When you evaluated the double-angle (2x), you kept the 2x when you should have dropped the 2. It should be... cos(2(2x)) + 4(2cos^2(x)-1) + 3 You are right that cos(2(2x)) = 2cos^2(2x) - 1.

17 years ago

Sorry I didn't see the follow-up on your other question. Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. You can easily calculate the slope. It's change in y over change in x. (48500 - 41000)/(3 - 0) = 7500/3 = 2500. The y-i...

17 years ago