All Questions ⁺⁰230706 Questions

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218

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Decimals

Let $x = (0.\overline{6})(0.\overline{06})$. When x is written out as a decimal, what is the sum of the first 15 digits after the decimal point?

Guest Dec 27, 2021

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286

1

Sequences

The sum of the first terms n in the infinite geometric sequence {1/4, 1/8, 1/16, ..} is 15/32. Find n.

Guest Dec 27, 2021

Dec 26, 2021

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219

1

Help inequality

Suppose 1/2 + 1/3 + 1/4 + ... + 1/x > 2.
What is the smallest possible value for x?

Guest Dec 26, 2021

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200

1

Probability

A point in space (x,y,z) is randomly selected so that $-1\le x \le 1$,$-1\le y \le 1$,$-1\le z \le 1$. What is the probability that $x+y+z\le 1$?

Guest Dec 26, 2021

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215

1

Conic sections

The graph of the equation x^2 + 4y^2 - 10x + 88y = k is a non-degenerate ellipse if and only if k > a. What is a?

Guest Dec 26, 2021

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296

3

Domain

What real values of x are not in the domain of f(x) = 1/(abs(x^2 + 3x - 4) + abs(x^2 + 9x - 10))?

Guest Dec 26, 2021

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388

5

+72

Computing integral unbounded on both sides!

Hello,

Given that is a function that satisfies , for all possible values of , compute the doubly unbounded integral:
read more ..

Alan ●●●●●

jsaddern Dec 26, 2021

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280

1

Algebra

What is the value of 1 - 2x + 3x^2 - 4x + 5x - 6x + 7x^2 - 8x + 9 in terms of x? Express your answer in the form ax^2 + bx + c where a, b, and c are numbers.

Guest Dec 26, 2021

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216

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help asap

The westerns in the store's inventory were written by 4 different authors. Author A wrote 1/4 of the books, author B wrote 5/16
of the books, and author C wrote 3/8 of the books. What part of the inventory of westerns did author D write?
<read more ..

Guest Dec 26, 2021

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217

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Math

Natalie has 54 blue marbles out of a total of 144 marbles. In Alexis's bag of marbles, 3/8 of the marbles are blue. Is the ratio of blue marbles to the total number of marbles the same for both bags?

Guest Dec 26, 2021

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223

1

Math

One fourth of Natalie's marbles are green. Alexis has 15 green marbles out of a total of 64 marbles in her bag. Is the ratio of green marbles to the total amount the same for both bags of marbles?

Guest Dec 26, 2021

0

164

0

coordinates

If the graph of the line y = ax + b passes through the points (4,5) and (8,-17), what is a - b?

Guest Dec 26, 2021

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226

2

Number Theory

Some perfect squares (such as 121) have a digit sum (1 + 2 + 1 = 4) that is equal to the square of the digit sum of their square root (\sqrt{121}=11, and (1 + 1)^2 = 4).

What is the smallest perfect square greater than 1000 that does read more ..

Guest Dec 26, 2021

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240

3

Trig question

Consider rhombus ABCD with side length 6: This is rolled to form a cylinder of volume 27/2 by taping AD to BC: What is sin(

Guest Dec 26, 2021

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207

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Coordinates

Find y if the point (-6,y) is on the line that passes through (-1,7) and (-3, -2).

Guest Dec 26, 2021

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203

1

Algebra

For what value of x will (3 + x)/(5 + x) and (1 + x)/(4 + x) be equal?

Guest Dec 26, 2021

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213

2

Sequence

What is the value of y in the arithmetic sequence y + 6, 12, 3y?

Guest Dec 26, 2021

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282

1

Sequence

A sequence with a_1 = 1 is defined by the recurrence relation a_{n+1} = 2^n + a_n for all natural numbers n. If a_{23} = p, then what is p?

Guest Dec 26, 2021

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272

1

Help coordinates

A triangular region is bounded by the two coordinate axes and the line given by the equation 2x + y = 8 . What is the area of the region, in square units?

Guest Dec 26, 2021

-1

383

1

+505

A simple derivative question that has been bugging me

So I've been doing derivatives for a while now, and I was always taught that functions with removable discontinuities, like , are not differentiable, because at the removed point (in this case ), the derivative is undefined. I even went online read more ..

textot Dec 26, 2021

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224

2

helpp

how do you solve for diagram 3,4?? with steps pls
ik the answers, just need the steps to get there

Guest Dec 26, 2021

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208

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ratios

The ratio of the glasses to the plates is 2:6. If there are 24 plates, how many glasses are there?

Guest Dec 26, 2021

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190

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Help right now

What will it make if 5 pens and six notebooks cost 67 and 8 pens and 3 notebooks cost 61? What is the cost of a pen and a notebook?

Guest Dec 26, 2021

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289

1

Please solve

Donna had some candies. She kept half of the number of candies plus
3 candies. She gave the remaining candies to Jane. Jane ate 1/3 of
the candies plus 4 candies. Then Jane gave the remaining read more ..

Guest Dec 26, 2021

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283

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Please help Asap

In a warehouse, 2/5 of the mobile phones are Brand A, 4/5 of the remainder are
Brand B and the rest are Brand C. After shipping out 20% of Brand A mobile
phones, 25% of Brand B mobile phones and 1/3 of Brand C mobile phones, there
were read more ..

Guest Dec 26, 2021

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