Dog_Lover

Let A, B, C, and D be points on a circle such that AB = 15 and CD = 21. Point P is on segment AB with AP = 8, and Q is on segment CD with CQ = 5. The line through P and Q intersects the circle at X and Y. If PQ = 6, find XY. Please answer ASAP! I'm lost!...

6 years ago

Each of the eight edges of a regular square pyramid has length 6. Find the volume of the pyramid. Please help! I keep on getting 4*sqrt(3), but it is wrong.

6 years ago

A sphere with radius 3 is inscribed in a conical frustum of slant height 10. (The sphere is tangent to both bases and the side of the frustum.) Find the volume of the frustum. I really need help with this question, it's very difficult for me! I have a dia...

6 years ago

Who was the person that said, "We live intertwined on this planet?" It's for a crossword puzzle and I got everything except for this. Thanks!

5 years ago

The equation of the line passing through (1,8) and (5,6) can be expressed in the form (x/a)+(y/b)=1. Find a. Please help, I don't know how to put my slope intercept equation into that form. I found the slope intercept form to be y= -(1/2)x+17/2. Thanks!

5 years ago

Let A and B be two points on the hyperbola xy=1, and let C be the reflection of B through the origin. (a) Show that C is on the hyperbola. (b) Let Γ be the circumcircle of triangle ABC and let A' be the point on Γ diametrically opposite A. Show that A' is...

5 years ago

Why doesn't cot^2 x + 1 = csc^2x work for 180 degrees in place of x? Please help,I don't know why it doesn't work. Thanks!

5 years ago

I really don't understand why my answer isn't right for this problem. Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of triangle ABC. I drew a diagram and I got 2(sqrt13)+2, but t...

5 years ago

Identify a cubic polynomial with integer coefficients that has 2^(1/3) + 4^(1/3) as a root. I tried solving it but my polynomial ended up having non-integer coefficients. I just can't think of a way to find it so that my polynomial has integer coefficient...

5 years ago

Let x, y, and z be distinct nonzero real numbers and x + (1/y) = y + (1/z) = z + (1/x) Find all possible values of xyz. I don't even know where to start! Any help is appreciated, thank you :)

5 years ago

Hello everybody, I'm not sure how to solve the following problem/proof: The sequence (a_n) is defined by a_1 = 1/2 and a_n = a_(n - 1)^2 + a_(n - 1) for n >= 2. Prove that 1\(a_1 + 1) + 1\(a_2 + 1) + ... + 1\(a_n + 1) < 2 for all n >= 1. I don't know how...

5 years ago

Hello, I'm sorry for posting the same question again but I'm not sure if the tutors can see when I reply to an already answered question. The sequence (a_n) is defined by a_1 = 1/2 and a_n = a_(n - 1)^2 + a_(n - 1) for n >= 2. Prove that 1\(a_1 + 1) + 1\(...

5 years ago

Hello! Please help me on an induction question. Show that 5^(3^n) + 1 is divisible by 3^(n + 1) for all non-negative integers n. I have made very little progress. Here's what I have so far: Let n=1. We have 5^3 + 1 = 3^2. Thanks in advance for the help.

5 years ago

Hello, I've been having trouble with the following question: Identify all real solutions for x in the equation 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2. Please help ASAP. Thanks in advance!

5 years ago

Hello, For a math assignment I have we're supposed to find out if the function f(x) = x^2- 2x + 3 has any of these properties: -increasing/decreasing -even/odd -invertible or not I said that it was increasing, even, and not invertible, but that was incorr...

5 years ago

Hello, I've been having trouble on the following question: We let g(x) = ⌊x⌊x⌋⌋ for x >= 0. i. Find all x >= 0 so that g(x) = 1. ii. Find all x >= 0 so that g(x) = 3. iii. Find all x >= 0 so that g(x) = 5. iv. Find the number of possible values of g(x) fo...

5 years ago

Sorry to post the same question again, but I haven't gotten any answers on the last time I asked which was roughly 9 hours ago. Here's the question: We let g(x) = ⌊x⌊x⌋⌋ for x >= 0. Find the number of possible values of g(x) for 0 <= x <= 10. Please help...

5 years ago

Hey there, I am getting 7 root 2.

6 years ago

Please help! D: I'm literally in such distress b/c of this and I need it done! Thanks so much, Dog_Lover

6 years ago

First, we take the cube root of the volumes as this will give us the edge length. So the edge lengths are 2 and 3. From this we calculate the surface areas of the cubes, which are 24 and 54. 24+54=78, and the largest possible area the cubes could share wo...

6 years ago

Thanks for helping, guys :| But I already finished the problem.

6 years ago

2-5=-3 -3+5=2 4-2=2 Can you find the next step? Because the next step will give you your answer! PEMDAS isn't too hard, you'll get the hang of it eventually! Just try not to ask for answers, and just help. :D ~Dog_Lover

6 years ago

I know I'm late, but... I'm also getting √14. ~Dog_Lover

6 years ago

I won't give the equation, but here's some advice to help. Turn the slope of 2 into a fraction. Also, the slope of a perpendicular line is always the negative reciprocal. This should give you the slope, and you can graph the line to find the y-intercept,...

6 years ago

Yeah, using the Pythagorean Theorem. I got 3sqrt3.

6 years ago

First, I'll tell you what mean is. It is when you take the sum of your numbers and divide it by the quantity of numbers. So, a+b+c=d. d/3= the mean. Try it out and post what you got. I'm sure you can figure this out on your own.

6 years ago

Oh wait, I had a miscalculation in the pyramid height. I got the answer now, thanks.

6 years ago

Thanks! 😊

5 years ago

Thanks, it was Lois Lowry. No wonder I couldn’t find it in the chapters!

5 years ago

First, we need to make sure both fractions have the same denominator. Multiply 6/3 by 5/5 and this gives us 30/15. Since 30>10, 6/3>10/15.

5 years ago

Also in 6/3, the numerator is greater than the denominator.

5 years ago

Ohh, thanks! I was actually sick the day of the class, and my teacher wasn't there in our most recent class so I just did the problems to the best of my ability, so I didn't know about that a/b form. Thanks again! :)

5 years ago

Sorry, I submitted the question before writing some things. Here's what I don't understand: what does it mean when C is the reflection of B through the origin? I thought that points can only be reflected through lines?

5 years ago

Can you provide a few example problems? Also, this sounds like it's from your homework, so what do you think?

5 years ago

Thanks, I solved (a).

5 years ago

I also almost solved (b), just one thing I don't get: what do we do once we have found the coordinates of A'?

5 years ago

Oh never mind, I have finished the problem.

5 years ago

You should search it up. Or even better, do it yourself. :)

5 years ago

I haven't read the book or ever heard of it, but from what I can tell, 8 and 9 are wrong, and the rest seems to be correct.

5 years ago

Brainstorming is basically when you come up with a bunch of ideas, and clustering is combining similar ideas. So now all you have to do is think about how you could use each of these differently.

5 years ago

Well, if you don't know what creative outlet Noah discovered, you clearly haven't read the book. Try reading and putting effort into your work.

5 years ago

Finding a slope is difference in y over difference in x. So, just find the slopes of AB and CD. Slopes remain the same after translations, so think about why that is to answer Parts B and C. When you've finished, send your answers so someone else or I cou...

5 years ago

Your answer for a. is right, but b. is incorrect.

5 years ago

Nevermind, sorry. Both are correct.

5 years ago

Think about which one shows a comparison between genders. That should be your answer.

5 years ago

This seems to be simple algebra. C(x) is the total cost of the calculators, and the total cost is also $104,000. So now we have the equation 104,000=51x+2000. Subtract 2000 from both sides of the equation and divide by 51.

5 years ago

Hmm... I got 46. Though I do think 45 is correct; I must've had a miscalculation. Nice explanation, Overseer! :)

5 years ago

Oh, I just found a new way to solve it. And wow, this is an old problem :') But you can just put x in the equation for everything between 1 and 16, then find the y values and add them up. Got me 45!

5 years ago

Thanks for the reply. I hadn't considered the idea of using perfect cubes. How would I use perfect cubes, though? I'm still confused.

5 years ago

Never mind, I found an answer. Thanks for the help though!

5 years ago

Hi yesennia, Please include all the expressions in your question. No one will be able to answer if we aren't given the answer choices! ~Dog_Lover :)

5 years ago

Thanks for the response! I still have a question though - what do you mean by picking any other values of x? Is there an equation that I'm supposed to solve?

5 years ago

Thank you for the response. Yes, I do think there might be a miscalculation. From running this through a calculator, I got y=1/(1-x). Another thing: I don't get how one could get ±(-1, 1/2, 2) as a solution through just inspection. Is there math behind th...

5 years ago

Oh, I've figured it out! Thanks for the help, but I've found another method.

5 years ago

We know that the price for 12 cans is $30. So we can set up an equation. Let c equal the price of one can. 12c=30 Now solve the equation for c, and multiply the value of c by 7.

5 years ago

Alternatively, you could multiply $30 by (7/12).

5 years ago

I believe you are correct. However, I am no expert, so try this link: //mahargpress.com/wounded/additional-material/timeline-of-vietnamconflict/ Good luck!

5 years ago

By the way, that's a URL, but only copy the link after the "//"(I'm not allowed to post URLs).

5 years ago

We know what the value of x is: 15. So, just plug in the value of x. You can put it into a calculator and round. By the way, in case you don't know, to "plug in a value" means to substitute in the value.

5 years ago

This isn't quite algebra, but since this fits right in with my knowledge, I'll answer it. So base 2. If you don't know what that is, it's binary numbers - written only with 1 and 0. Binary numbers are usually specifically used for one general subject, a s...

5 years ago

If she's filling up a sphere with sand, it means that we need to know what the volume of the sphere is. The formula for the volume of a sphere is: (4π)*((r^3)/3)) We know that the radius is 2, so we have: (4π)*((2^3)/3)) Now just simplify it.

5 years ago

It says that it must be a multiple of 3 and a multiple of 4, so list out the multiples of 3 and 4 going up to 12 and see where they overlap. This is the first step. I'm sure you can figure it out from there.

5 years ago

There are 12 months in a year. Each month it decreases by 2%. This means 98% of the original price will be remaining at the end of the first month. So to get the price of the care after one month, it would be 20000*0.98=19600 Repeat the process I just did...

5 years ago

I clicked on this question because I do enjoy doing art myself. But the question you've sent is impossible for anyone other than yourself to answer. Try Googling some approaches on creating an art portfolio. It is only you that would know how to properly...

5 years ago

Thank you. I'll get to work on that immiediately.

5 years ago

The square root of −3−4i cannot be simplified. The magnitude is the absolute value, or a number's distance from zero. Do it yourself, it's not too tricky, try searching up what magnitude is. I suppose you could rewrite the square root of the complex numbe...

5 years ago

Ah, that's a much more clever way than what I came up with... unfortunately my math isn't advanced enough for that :')

5 years ago

Thank you! I understand everything up until this line: a_4/a_3 > a_3+1 = 37/16 > 3/2 Isn't a_4/a_3 = a_3+1?

5 years ago

Oh never mind, I completely understand the solution now. Thank you so much! This question really stumped me.

5 years ago

2:3 = 2 parts: 3 parts This means that there is a total of 5 parts. Emma's money is equivalent to two parts, so that means that $20 is the amount for one part. Now that you have the money for one part, multiply that by five and you have your answer.

5 years ago

I'm not sure what "1o" centimeters means. But here's the formula for the surface area of a pyramid: B + (1/2)(ps) where B=area of the base, p=perimeter of the base and s=slant height. Use the Pythagorean Theorem to find the slant height. For part b, you'l...

5 years ago

Thanks a lot, oobleck and Reiny! I understand it now :)

5 years ago

Images can't be sent here. A ruler and compasses should be enough for you. MathWareHouse has some tips on geometric constructions, perhaps you could look there.

5 years ago

To our knowledge, literally nothing existed before the Big Bang. The Big Bang is what created everything. Space was space; quite literally a void of nothingness. If you believe in God like I do, there could be a religious explanation but currently we lack...

5 years ago

You could compare the colors of the butterfly in different stages of life to things in nature. Such as a butterfly with wings the color of marigolds.

5 years ago

Thanks for the response. I also got the solutions of 0 and 1 just by guess and check but I have no idea how it works!

5 years ago

Also I asked a different Algebra question yesterday(17/6) at around 9 pm and it would be great if someone could offer some ideas on how to solve that algebraically.

5 years ago

Oh, I completely forgot that quadratics have both increasing and decreasing intervals! Thank you!

5 years ago

I found out how to solve it! You can factor the right side of the equation and subtract that from both sides, then factor by grouping the left side of the equation, which gives x = -1, 0, and 1.

5 years ago

Thank you for your response. I have solved (a), (b) and (c). Yes, there is no solution for g(x)=3.

5 years ago

I believe you are correct. It started because of a conflict between France and Britain concerning the Americas, if I'm not wrong, and later grew to span across the world.

5 years ago

No problem!

5 years ago

Please help on part iv, I’ve no idea where to start.

5 years ago

Ah, okay.

5 years ago