jim

simplify -15r^0/30p^-2 if that's (30p)^-2 then the answer is 30p^2 if it's 30(p^-2), then the answer is (p^2)/30 don't forget that for (30p)^-2, if it becomes 30p^2, i meant that it becomes (30^2)*(p^2). be careful with parentheses -15r^0/30p^-2. I assume...

19 years ago

simplify 12b^-6/3a^0 you should read my notes on "rob"'s questions if you're not the same person. lol if that's 12(b^-6), then the answer is 12/(b^6) if that's (12b)^-6, then the answer is 1/((12^6)*(b^6)) 12b^-6/3a^0. I think this is 12(b^-6)/3(a^0). a^0...

19 years ago

simplify u^3wz^-3 (u^3)/((w^3)*(z^3))

19 years ago

simplify -cd^-4e^-1 okay rob or jim. read my math tip notes, okay? otherwise you'll do poorly on your quizzes. :) if you meant (-(cd)^-4) * (e^-1) -e/((c^4)*(d^4) or if you meant ((-cd)^-4) * (e^-1) e/((c^4)*(d^4) or if you meant (-c(d^-4)) * (e^-1) -ce/(...

19 years ago

simplify -cd^-4e^-1 please specify parentheses or at least separate them so i know which groups fall under which exponents.

19 years ago

simplify 35(21^-1) 21^-1 = 1 / (21^1)

19 years ago

simplify square root of 116 rt(116) = rt(4*29) = 2rt(29) i need help with my algebra homework

19 years ago

simplify radicals square root of 132 132^1/2= (4*33)^1/2= 4^1/2 * 33^1/2 = 2 * 33^1/2 or 2 sqrt33

19 years ago

simplify square root of 3^7 t 3^7= (3^7)^1/2= 3^(7/2) = 3^(3 1/2)=27*3^1/2=27 sqrt3

19 years ago

simplify - square root of 48x^3y^2 Your problem: √48x^3y^2 Try to break it down as far as you can in order to simplify. √(16 * 3)(x^2 * x)(y^2) The square root of 16 is 4. The square root of x^2 is x. The square root of y^2 is y. Therefore, you end up wit...

19 years ago

simplify square root of 27r^5 Your problem: √27r^5 Try to break this down as far as you can to simplify. √(9 * 3)(r^4 * r) The square root of 9 is 3. The square root of r^4 is r^2. Therefore, you end up with this: 3r^2√3r ---> 3r is left under the square...

19 years ago

simplify square root of 5^6 okay lets say this: the square root of 9 is three because 3*3=9. just like four is 2 because 2*=4 so if its 5^6, divide it into equal parts. since six is an even number, you can divide it like 5^3 beacause 5^3*5^3=5^6

19 years ago

simplify square 48/square6 square root(48) is the same as sq root (8) x sq root(6). So, sq root (6) cancel, and you're left with sq root(8). and this simplfies to 2 x sq root (2)

19 years ago

simplify (square5)(square2) I don't know if you mean square root, or square. Here is square: 5^2 * 2^2= 25*4 =100 How about (square5)(square2) = square(5*2) ?

18 years ago

these must be written as a single trig expression, in the form sin ax or cos bx. a)2 sin 4x cos4x b)2 cos^2 3x-1 c)1-2 sin^2 4x I need to learn this!! if you can show me the steps and solve it so I can learn I'd be grateful!!! 1) apply the formula for sin...

18 years ago

y^2=8(x-3) how would you get the coordinates. vertex = 3,0 then what? let x=1, or -1, and solve for y. This is a parabola, if you are graphing, you will need several points to plot. vertex = (3,0) using x = 2 (2,4) (2,-4) > +3 translation = (5,4) (5,-4) I...

18 years ago

when pure sodium hydroxide is dissolved in water , heat is evolved in a laboratory experiment measure a molar heat of solution of sodium hydroxide the following procedure was followed. to a calorimeter containing 300g of water at 20.0 C and 10.65g of NaOH...

18 years ago

Can someone show me how to solve this?The measure of an angle is 20 less than 3 times its supplement. Find the measure of the angle. Let M be the measure of the angle. M+20=3(180-M) solve for M.

18 years ago

What consititutes an ideal learning enviorment? I would say whatever you are most comfortable with. I like distance learning because it has a lot of flexibility but I do miss the physical classroom environment where the teacher is available on a momen't n...

18 years ago

1000000 uL = ?L

17 years ago

You invest 3400 into account earning simple intrest. The balance is 4624 after 8 years. What is rate of intrest?

17 years ago

2. Why is red paint red

17 years ago

4. Why will the leaves of a red rose be warmed more than the petals when illuminated with red light? How does this relate to people in the hot desert wearing white clothes?

17 years ago

6. Why do we not list black and white as colors?

17 years ago

8. Fire engines used to be red. Yellow-green is now the preferred color. Why the change?

17 years ago

show how to solve these problems: 1. 6x - y = -4 2x + 2y = 15 answer:x = 1/2 y = 7 2. x +y = 1 x = -1/3 2x - y = -2 y = 4/3 3. x - y = 3 x = 5/2 6x + 4y = 13 y = - 1/2 I just need to know how to solve these problems. Please show me how it is done.

17 years ago

What is the refrain in Sir Patrick Spens, the Wife of Ushers Well, and the Bonny Earl of Murray?

17 years ago

1 kilometer =

17 years ago

features that define the performance of a system are called what?

16 years ago

what lives in a stable

16 years ago

what is government in french? thanks, you will help me with my dissertation greatly xx

16 years ago

As shown below, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length and negligible mass. What is the minimum value of v such that...

16 years ago

The market allocates capital to companies based on:

16 years ago

You are planning to make an open-top box from an 12 in by 12 in piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions (of the 3 sides) of the largest volume you can make this way?

16 years ago

A rectangle has its base on the x-axis and its upper two vertices on the parabola y=12−x2 . What is the largest area that the rectangle can have

16 years ago

Let's plant a tree by Mr. Olsons fence. is that a sentence

16 years ago

one syllable inside, many, friend

16 years ago

My room is a mess. Mom said, "I have to clean it now."

16 years ago

9/14divided by 15/28

16 years ago

Calculate the number of moles of Ca(OH)2 (aq) needed to react completely with 125 mL of 6.00 M HCl(aq). It doesnt give any stoichometric coefficients so how are you meant to do this?

14 years ago

if you round the number to the tens place, it is 460 if you round the number to the hundreds, it is 500 could the number be 468 and why

16 years ago

If a woman hasa mass of 50 kg calculate her weight in neutons

15 years ago

calculate the acceleration of a 2000kg single -engine airplane just before takeoff when the thrust of the airplane ia 500N Using the G.U.E.S.S. method

15 years ago

calculate the force of a 300,00 kg jumbo jet that is accelerating 0.4m/square just before takeoff

15 years ago

In the Crucible what epithet did Proctor fear was fraudulent?

15 years ago

In the Crucible what epithet did Giles Corey avoid by remaining silent?

15 years ago

(2x-3)(4x squared-x-10)=8x cubed-14 squared+Bx=30

15 years ago

9 over y + 2 over 5 + 3 over 5y

15 years ago

what is 907.457 rounded to the nearest tens place? How to get the answer.

15 years ago

Find the inverse function of F(x) = 2 arccosx F-1(x)=

15 years ago

A gardener measures the tallest of his prize-winning sunflowers and finds that the height is 60 in. The sunflower was 52 in. tall the last time the gardener measured it.

15 years ago

Which of the following is a weak acid? A)HN03 B)H3P04 C)NH3 D)C03^2- E)OH

15 years ago

Which compound has a value of Ka that is close to 10^-5? A)NaCl B)HN03 C)CH3CH2C02H D)KOH E)NH3

15 years ago

What is the pH of a solution in which [H30+] = 1.2 x 10^-3 M? A)1.20 B)2.92 C)11.08 D)12.80 E)8.33 x 10-12

15 years ago

Which product is formed by beta emission from phosphorus -32? The atomic number of phosphorus is 15. A)28 Al 13 B)30 Al 13 C)32 S 16 D)32 P 15 E)33 P 15

15 years ago

9). Hooke’s Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 29 cm when the weight is 4 kg what is the distance when the weight is 9 kg? 10). Find the variation constant a...

15 years ago

How many sig figs does tan^-1(9/7) have?

15 years ago

(sin(47))^2 + (cos(43))^2 = With the correct number of significant figures.

15 years ago

The probability that patient recovers from a delicate heart operation is 0.9. What is the probability that exactly 5 of the next 7 patients having this operation survive?

15 years ago

Of all 40-year-old women, 1% have breast cancer. If a woman has breast cancer, a mammogram will give a positive indication for cancer 90% of the time. If a woman does not have breast cancer, a mammogram will give a positive indication for cancer 9% of the...

15 years ago

The life of a certain type of device has an advertised failure of rate .01 per hour. The failure rate is constant and the exponential distribution applies. (a)What is the mean time to failure? (b)What is the probability that 150 hours will pass before a f...

15 years ago

express in as simple a form as posible?? (2x^3y^-1)^3

15 years ago

ive got quite far but im stuck, can you go through each stage so i can check. simultaneous equation with surds 5x-3y=41 (7root2)x+(4root2)y=82 thanks for the help

15 years ago

The slope of the tangent line to the parabola y=3x^2+6x+5 at the point (-3,14)

15 years ago

A crate of mass m = 230 kg is pushed at constant speed up the frictionless ramp (θ = 29.0°) by a horizontal force F. What is the magnitude of F?

15 years ago

In a fully random distribution, we can determine the most probable state from what two quantities? Answer a. The number of particles and the net momentum. b. The number of particles and the total energy. c. The net momentum and the total energy. d. the to...

15 years ago

If 250 moles of gas are compressed to 0.75 of an original volume at a constant temperature or 295 K, how much heat must have gone into the environment? Answer a. 176 kJ. b. 205 kJ. c. 112 kJ. d. 122 kJ.

15 years ago

If we apply 300 kJ of heat to 2500 moles of air at constant pressure, what is the change in internal energy? Answer a. 214 kJ. b. 100 kJ. c. 180 kJ. d. 75 kJ.

15 years ago

Consider three layers of a wall. The first layer is plaster 1.0 cm thick (R = 0.033 SI units), the second layer is fiberglass insulation 8.9 cm thick (R = 2.97), and the outside layer is wood 3.0 cm thick (R = 0.33). What is the heat loss through one squa...

15 years ago

The natural greenhouse effect raises the surface temperature at the surface of the Earth by about 20 or 40 k?

15 years ago

Since the industrial revolution, the Earth's average surface temperature has Answer a. risen about 1 K. b. has risen about 3 K. c. has risen about 5 K d. Has not changed significantly.

15 years ago

What dominant mode of heat transport exchanges heat from food in the refrigerator to the cooling coils?

15 years ago

Doing work on a gas always implies Answer a. adding internal energy. b. adding heat. c. changing the volume. d. adding potential.

15 years ago

How is entropy calculated in the general case? Answer a. By determining the amount of heat absorbed. b. By multiplying P times ΔV and summing over small increments. c. By summing over momenta and positions. d. By summing over probabilities of microstates...

15 years ago

0.5 mol of salt (NaCl) is dissolved in 4.5 mol of water. What is the increase in entropy? Answer a. 13.5 J/K b. 84 J/K. c. 9.8 J/K. d. 2500 J/K.

15 years ago

Why is there a minus sign in the formula Δp/Δt = −ΔEP/Δs? Answer a. Objects are accelerated to higher kinetic energy. b. Objects seek zero motion. c. Objects are accelerated toward higher potential. d. Objects are accelerated away from higher potent...

15 years ago

What does the concentration of field lines represent? Answer a. The direction that a positive test charge will be pushed. b. The direction that a negative test charge will be pushed. c. The strength of the force on a positive test charge. d. The strength...

15 years ago

What is the quantum particle of the electric field? Answer a. The proton. b. The electron. c. The photon. d. The neutron.

15 years ago

A crate of mass m = 230 kg is pushed at constant speed up the frictionless ramp (θ = 29.0°) by a horizontal force F. What is the magnitude of F? What is the magnitude of the force exerted by the ramp on the crate?

14 years ago

36z^2 -49

14 years ago

find the dimensions of a rectangle with a perimeter of 780m if the length is 15 more than 4 times the width.

14 years ago

Given ∠ABC, if m∠A=11x, ∠B = 3x + 4, and m∠C = x - 4, find the measure of each angle.

14 years ago

let A=(3 x) (-2 -3) if A=A^-1, what is x? please show work so i can understand

14 years ago

A square martix A is said to be idempotent if A=A^2. The only real numbers that are idempotent are 1 and 0, but this is not true for martices. Find a 2x2 idempotent other than 1 or 0.

14 years ago

What is the boiling point of the solution in which you are going to cook spaghetti if it contains 51.0 g of NaCl dissolved in 1.30 L of water? Assume the density of water is 1.00 g/mL. Use molar masses with at least as many significant figures as the data...

14 years ago

The concentration of HNO3 in a solution is 3.50 10-6 M. What is the [H3O+] in the solution? _______M What is the [OH-] in the solution? ________ M What is the pH of the solution? What is the pOH of the solution?

14 years ago

The concentration of NaOH in a solution is 7.00 10-6 M. What is the [H3O+] in the solution? _______________M What is the [OH-] in the solution? __________M What is the pH of the solution? What is the pOH of the solution? HELPP?? i don't understand any of...

14 years ago

f(x-1)= [2(x-1)]-3(x-1) =2x-2-3x+3 =-x+1

18 years ago

how do you do x2y(x+2)

17 years ago

fights

17 years ago

isolate x first by adding one to both sides you should get 3x=12 divide both sides by 3 to get x=4 then substitute and get (4)^2 + 4

17 years ago

dropale

17 years ago

you're on the right track.. try this Q=(.1kg)*(2.42x10^6) delta U = -Q - W delta U should be negative. for part b. it's just Q/4186

16 years ago

its albert not nikola tesla

16 years ago

its c3ho5

16 years ago

i did the same question its 20 60 120

16 years ago

that did not work.

16 years ago

Consider racial imbalances in education, the economy, family life, housing, criminal justice, health care, and politics. Of these societal challenges facing modern African Americans, which do you think are most difficult to overcome, and why?

16 years ago

describing the role civil disobedience played in the Civil Rights Movement

16 years ago

friend

16 years ago

thanks

16 years ago

My room is a mess. Mom said, "I have to clean it now."

16 years ago

the 100,000th place

16 years ago

Multiply both sides by d^2 F(d^2)=G(mM) Divide both sides by F (d^2)=G(mM)/F Now take the square root d = SQRT(G(mM)/F)

16 years ago

A useful approach is to take a simpler case Suppose there were just 5 by murders, 30 by accidents, and 65 by tobacco How many would all the deaths add up to? What proportion of all deaths would be by tobacco? So there were 100 deaths, 65 by tobacco So tob...

16 years ago

Is the question average speed? Assuming average speed, you must find total distance, then total time, then divide them Time is easy: 24 + 36 + 44 + 13 minutes So how far do you get driving 24.0 min at 63.0 km/h? 36.0 min at 45.0 km/h? 44.0 min at 49.0 km/...

16 years ago

Ayup! 54120 total deaths 510 from murder will be represented by about 3.4 degrees of the circle

16 years ago

The numbers are close, but not exact since for example alcohol is about 12.6 rather than 13, but yes, you've clearly got it - but be careful; those numbers are degrees, not percent Alcohol is about 3.5%, and that makes about 12.6 degrees of a circle

16 years ago

How you present the pie chart is kind of up to you, unless you were given specific instructions. You could put the numbers of deaths, or the percentages, or both. Apparently I can't put a link here, but if you go to the Wikipedia page Pie_chart you will s...

16 years ago

What about the zipper? Always my favorite tech story. :-) Or the camera phone? Quite recent, and there's a great story about its invention, which you can find in several places.

16 years ago

Scientists and mathematicians tend to avoid pie charts, because humans have a harder time judging angles and areas than line lengths. The Wikipedia page on Pie_charts, which I just visited, shows examples of a pie chart with apparently equal-ish segments...

16 years ago

Well, you have a) one variable per entity, and they are b) discrete rather than continuous, and c) within a reasonable range; the largest is no more than 80 times as big as the smallest, so you won't go wrong with a simple linear graph - column or bar cha...

16 years ago

Assume the particle starts at x=0. What is the position after 2.3 s? x = (50 * 2.3) + (10 * 2.3^2) That's how far it has travelled in 2.3s From there the average velocity is easy, I think

16 years ago

ad lib. is short for ad libitum meaning at will (more or less) et alia, shortened to et al. (et = and, alia = others) versus (against) gets cut to vs. (why is abbreviation such a long word? :-) Quod (which) vide (see) gets shortened to q.v. cf., short for...

16 years ago

How high is the chopper after 2.05 s? call it H H = 3.4 * 2.05^3 m Now from that height, it drops something. I assume we're not taking air resistance into account here, or the question would be much longer. I don't know how accurate the measuure your clas...

16 years ago

What might be the differences between liquids in a mixture? They might have different... what? Boiling points? Freezing points? Density, which in liquids we often measure as specific gravity. If it's a mixture, the two liquids will very probably have diff...

16 years ago

Sorry, missed your followup earlier. I get the numbers you do, but something is funny with the question. h = 3.40t^3 anything with a t^3 term isn't acceleration; it's jerk. Constant jerk, in fact, that would have the chopper well into outer space in 60 se...

16 years ago

Call the numbers A, B and C We know A + B + C = 147 We are told that: B = 2 A + 4 (two times the first number and add 4) and C = 3 A - 5 (five less than three times the first number) This is called substituting. Now we can substitute (2 A + 4) for B whene...

16 years ago

For more details, look up "Newton's law of universal gravitation" on Wikipedia, but the gist is that the force between the Earth and the Moon depends on the product of the masses divided by the square of the distance, and then thetre's a factor g that is...

16 years ago

I don't see why you have to convert it; they are indeed the same thing. I want to draw a graph for this, but I can't :-) In general, you can use the rule that ln(1/x) = -ln(x), so you can simply declare that and be done. I'll try to show an equivalence so...

16 years ago

40

16 years ago

I think this is not the full question?

16 years ago

The brackets mean that you need to add the 8 and the 7 first. 8 + 7 = 15. Now multiply that 15 by 3, and multiply that answer by 2.

16 years ago

Consider the amount of contraction in cooling - in _both_ directions. The cross-sectional contraction is a minor negative, but the rivet is much longer than its cross-section, so the contraction along its length is proportionally greater. And, remembering...

16 years ago

1 caloris is the amount of energy needed to raise the temp of 1g or water 1 degree. So if it raises 50g by 28 deg, that's how many calories? OK, so we know how many calories affected the water, but we are also told that the burning was only 40% efficient,...

16 years ago

When the rivet goes in, let's say its length is L. As it cools, it shortens a little, so its length is now L-delta(L). But it's holding the two plates, so as it shortens, it pulls them together just a little, by the amount delta(L). What you're thinking i...

16 years ago

You're very welcome, Mary. Sometimes, just sometimes, a picture, or graph, or video, is worth much more than a thousand words.

16 years ago

First, 5:00, 120 minutes, is right. You can do this without algebra. In fact, algebra would only complicate it. In the jargon, 120 is the lowest common multiple (LCM) of 40 and 60. That means that it's the smallest number that both divide into evenly. 40,...

16 years ago

Apart from the subject, that equation isn't going to peak for x > 0. I think you may have an error in the question.

16 years ago

I'd go for "negative y-values are reflected in the x-axis", but my terminology may be out of date.

16 years ago

There is no single "solution" to this equation. You can see that easily: 9 + 3 * 1 = 12 6 + 3 * 2 = 12 so this does not specify a unique x or y, but for any given x, there can be only one y. In fact, it specifies an infinity of (x, y) pairs, that, if you...

16 years ago

Call the number of miles x. Every trip costs at least 1.50, so we can call that a constant that we add to every trip. It is also the only fare if the trip is two miles or less/ In addition to that, every trip over two miles costs an extra 1.20 * x, except...

16 years ago

I agree with you on A and B. C: You know that P(over 65) = .12 and the question states that 40% of this group take 5 or more prescriptions. Can you take it from there? D: First figure: 1) How many people under 65 use 5 or more prescriptions and 2) How man...

16 years ago

Answered above

16 years ago

Answered below

16 years ago

Answered below

16 years ago

I wonder if the second question isn't a little more mean and evil than that? :-) The parabola is upturnd, symmetrical around x=0, like a rounded hill. A tangent to that parabola that forms a side of an equilateral triangle as described would be of the for...

16 years ago

Oops, I didn't calculate the intercepts. My bad.

16 years ago

It's a very simple pattern, really. :-) Think what happens to the last digit of any number when multiplied by ten.

16 years ago

Take any digit, say 2. Multiply it by 10. What's the last digit? Multiply that by anything else. What's the last digit?

16 years ago

It's not too hard. Think that there are only these possibilities: Positive X, Positive Y Positive X, Negative Y Negative X, Positive Y Negative X, Negative Y and zero x and / or y OK, so your program will output one of 5 possible answers. You take in two...

16 years ago

Oops, I meant 6 possible answers. While I'm here, remember strcpy puts the value into the string, and strcat appends it to the end of the string. Remember to be sure to declare result to be a char field (more than) big enough for what you're going to put...

16 years ago

The first pair is very very easy. Remember that a line that passes through the origin must be of the form: y = mx since the intercept is zero. You are told that this line passes through the origin and that the point (-1, 5) satisfies the equation. You sho...

16 years ago

This appears to be from an intro to calculus course. "instantaneous rate of change" is equivalent to slope, so the questions A and B become "what is the slope of the function" at these points. Have you done differentiation? If you have, you should be able...

16 years ago

I'm not sure what the question is, but if k + 9 is greater than 12, then what is k greater than? Pretend k is zero. Is k + 9 > 12? Pretend k is 7. Now, is k + 7 > 12? So what must k be greater than? Another way to approach the inequality is to add or subt...

16 years ago

Given the mean and atsndard deviation, you can find the score for an area under the curve, but working backward, given two percentiles and scores, you can work that in reverse. Reading off the numbers from a z-table (I hope you don't have to work it out f...

16 years ago

90% is 22 months, is 1.28 SD from the mean. 20% is 13 months, is .84 SD in the opposite direction from the mean. Thus, a difference of (22 - 13) months is equivalent to to (1.28 - (-.84)) SD.

16 years ago

Sorry about my mental arithmetic error. :-) So 9 months is 2.12 SD. so 1SD is 4.25 months. 1.28 SD is then 5.44 months from the mean, so the mean is 22 - 5.44. Check: working it the other way .84 is 3.57 months, so the mean is 13 + 3.57. Do those agree? Y...

16 years ago

I'm not sure I know what the question is asking. I'm guessing you have to fill in the numbers equal in distance all the wat between 1562 and 1874. There are five numbers missing, so there are six gaps between. What size must a gap be? Well, there are 6 ga...

16 years ago

Your problem is that you are always doing a CtoF or FtoC conversion, even when it's F to F or C to C. You need to take both choices into account in your conversion logic, not just the one you're converting to. Actually, your approach is a bit convoluted....

16 years ago

Start by calculating the acceleration of the plane as it moves from rest to take-off. It gets up to 80 m/s in 35 seconds, so its acceleration is 80/35 m/s^2. Now you can just plug in the formula for distance travelled under acceleration = ut + 0.5at^2. In...

16 years ago

Yes! That's what I get, too.

16 years ago

A Newton is 1 kg * m / s^2. The force here is 20 kg * 5m / s^2. You should see it clearly from there.

16 years ago

I don't know what polygons you drew, but consider this: no matter what path you took, if at any point you are turned to the left of where you started, you must have turned through 90 degrees (plus some integer number of full turns); if at any point you ar...

16 years ago

I doubt that it was too long, considering the programs you and I posted earlier. Maybe indentation? You could try something like a do loop around your validation, of the form: do } {get heading and display error message if necessary) } while (heading is n...

16 years ago

Oops. I got the bracket messed up in the pseudocode and left a <= instead of a < in the while.

16 years ago

Yes. You want the two big digits in the tens place for the big one, and you want them in the units place for the small one. So 41 + 32, or 42 + 31, and 14 + 23 or 13 + 24 are the best you can do.

16 years ago

Write down the prime factors of each. Look at all the factors, of both numbers, together. The LCM will be the smallest set of this list from which you can make either of the two original numbers. Example: 30 = 2 * 3 * 5 24 = 2 * 2 * 2 * 3 So we have 2, 2,...

16 years ago

Slope-intercept form y=mx +c where m is the slope. You are told that the slope is -4, so the equation muct be like y = -4x + c That rules out one of your choices. Now, of the other two, the equation must be true for the point (1,2). So which of these is t...

16 years ago

Think about the line y=-1. What does it look like? It's all the points where y is -1: (0, -1), (2, -1), (-2000, -1)... so it's a line straight up and down. Any line perpendicular to is must be straight across, so it must be of the form x = something, wher...

16 years ago

This is one of the classic workhorse situations of programming, a sort-merge, used just about everywhere. You sort two lists, then merge them. The basic idea is this: Establish a pointer to the first (lowest) entry in each list, then Loop while any entrie...

16 years ago

Ouch. Typing too fast. Should test in that else that l1 hasn't exceeded 10. But you should get the idea.

16 years ago

When you see an inequality, and most other equations, with one variable, your first job is usually to add, subtract, multiply, or divide, to get the variable on its own, isolated from the numbers. Just remember to do the same thing to both sides. This one...

16 years ago

Assuming the question was "Find the value of the digit 5 in 35,791" you are absolutely right!

16 years ago

Profit then 30M. Profit later, 210M. Change in profit is obviously 180M, right? OK, so that change is over how many years? 1992 to 1998 - 6 years. Profit changed by 180,000,000 over 6 years, so on average it changed $180,000,000 / 6 per year.

16 years ago

Since the flight is always fully booked, we can say that the luggage weight's mean is 8000 and the SD is 2000. We're interested in the number of flights that is more than (300 / 2000 =) .15 SD above the mean. Now we go to a z-score table - Google will pro...

16 years ago

The first one is either a typo or a trick, since no number of cm^2 make a litre. Was ir cm^3? There are 1000 cm^3 in a L. By "simplify", I presume the question means convert to one unit - either pounds or ouncez. There are 16 oz in a lb, so one pssible an...

16 years ago

regina, in the second part, you ask about the graph. When I was doing this kind of thing, I always used to calculate the x and y intercepts, and then just draw a straight line between. Nowadays there is "Wolfram Alpha" wolframalpha you-know-what on the ne...

16 years ago

This sounds awkward, but is actually easy. Consider the number 400P. It must end in zero - actually, it must end in 00, since it has 100 as a factor. Therefore its cube root must end in zero. Check this for yourself: the last digit of a cube can be determ...

16 years ago

I'm not a teacher in this forum, but that's kind of a big lump of a problem just to throw out there and expect help with. You'll probably get more useful help if you break it down into tasks - starting with the writing of the CatalogItem class, I suspect...

16 years ago

Let's take the first one. You can make a syllogism if you have two statements like: (1) If A, then B _and_ (2) Rover is A (3)_then_ you can say that Rover is B Now: (1) If a dog eats Superdog Dog Food, he will be happy. (2) Rover is happy. What is "A" her...

16 years ago

You don't actually have to know the whole function to get its value at one point, if you have other useful information. You can - and should! - look up the background to "Leibniz's law", but it says that f(x)=g(x)h(x) implies f'(x)=g'(x)h(x) + g(x)h'(x) N...

16 years ago

You're very welcome, Bri. And do look up _why_ that is true sometime. It's quite neat.

16 years ago

Sorry, Ellie, I'm not quite sure what it is you have to do with them - graph them? specify a range for which they are defined, or true in the first case? make a table of values? Anyway, I'll talk a bit about them. The first one says -2 * x^2 < 30. Now, th...

16 years ago

My bad, Ellie and Reiny, on the second one. My thinker slipped a cog, and I considered y = 1/|11-9x|-6 rather than 1/|11-9x|-6=0. Reiny is correct, of course!

16 years ago

That allcaps is a bit hard on the eyes. If you want people to read your message, do tone it down and type normally, please. From 2) spoof contains at least two purrs. Call the first two A and B. From 4) there exists exactly one lilt containing them, there...

16 years ago

An example of the distributive property: 3 * (1 + 2) = (3 * 1) + (3 * 2) x * (a + b) = (x * a) + (x * b) or x(a+b) = xa + xb Where the operators are like this, you multiply the figure outside the brackets into each of the symbols intide the brackets separ...

16 years ago

Well, $115 is exactly one SD below the mean, so that's handy. A useful guideline is that, moving left to right, over 2SD covers the first 2%; 2-to-1 SD is another 14%, bringing you up to 16%, and 1-to-0 SD covers another 33%, bringing you to the mean at 5...

16 years ago

Each lilt contains at least one distinct pair. There must be exactly one lilt containing each possible pair. Which axiom number is that? We know that L1 contains {A, B}. Write out the pairs you can make from A, B, C.

16 years ago

On the same assumption, I see that "chosen" works as well.

16 years ago

When you have an equation with just x and y terms, you're looking at a straight line. One way to approach is it, as you say, to add -5 to both sides, and then divide across by 2, so that the LHS just contains y on its own. Then you have it in the form y =...

16 years ago

Oops, typo. In case you're confused, I meant "One way to approach it is, as you say, to add -5x to both sides..."

16 years ago

You typed both 81,700,00 and 81,700,000. I will assume you meant the second, because of the placement of the commas. So Standard form 81,700,000 = 81.7 * 10^6 = 8.17 * 10^7 In scientific notation, we put only _one_ digit before the decimal place, so you w...

16 years ago

Just start at the beginning and think it through choice by choice. There are 11 to choose from. How many can you choose? 11. Now you've seen one. Choose another. How many do you have to choose from? 10, 'cos you've already seen one. So how many ways can w...

16 years ago

I think you mean (12-8)(7-4)^3 Just checking, because an extra bracket around like ((12-8)(7-4))^3 would give a different answer. Brackets first. Then powers or roots. Then multiply or divide. Then add or subtract. First do the arithmetic inside the brack...

16 years ago

To find the y-intersect, you can just set x=0, and see what's left: y + x = -10 y + 0 = -10 y = -10 So (0, -10) is your intersect. This is a straight line, so all you have to do is find two points, and use a ruler to draw a line through them. Let's find t...

16 years ago

Let's take the first one. We know that any line can be expressed as y = mx + c First we plug in the m given: y = (2/3)x + c. Now, we know that the point (3/2, 9/5) is on this line, so we can substitute these values into our equation to find c: 9/5 = (2/3)...

16 years ago