All Questions ⁺⁰233683 Questions

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I need help plz

Simplify the expression
\frac{3}{\sqrt{2}} + \frac{1}{\sqrt{18}} - \frac{6}{\sqrt{3}} + \frac{9}{\sqrt{2}}

ABJeIIy Apr 1, 2024

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22

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+1444

help me plz

Let $r$ and $s$ be the roots of $2x^2 + 5x - 13 = x^2 - 4x + 7.$ Find $r^2 + s^2.$

ABJeIIy Apr 1, 2024

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23

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+1444

help need help

Simplify the expression
\frac{1}{\sqrt{36}} - \sqrt{27} - \frac{1}{\sqrt{27}} + \frac{1}{\sqrt{18}}.

ABJeIIy Apr 1, 2024

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26

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+1167

Algebra

What is the smallest positive integer value of n such that (√3/2-sqrt(2)/2*i)^n is real?

Akhain1 Apr 1, 2024

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9

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+1167

Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

Akhain1 Apr 1, 2024

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6

1

+1167

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15. Gary orders a bagel and four muffins, which comes out to 7.85. Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75. read more ..

Akhain1 Apr 1, 2024

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+1444

help me now

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2mn - 21m + 6n + 15m - 5n + ___

ABJeIIy Apr 1, 2024

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+1444

Need help now

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 5} = \frac{3b}{5}.

ABJeIIy Apr 1, 2024

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+1444

Really need help

Find the area of the region that is enclosed by the graph of the equation
4x^2 - 12x + 4y^2 + 56y - 491 = 8x - 16y + 301

ABJeIIy Apr 1, 2024

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+1444

help help help

Let $B$ be the reflection of $A$ over the line $y = \frac{1}{2} x + 2$. Find the coordinates of $B$ if $A = (5,-1)$.

ABJeIIy Apr 1, 2024

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+1444

help help

A line and a circle intersect at A and B. Find the coordinates of the midpoint of \overline{AB}.
The ilne is y = 3x - 2, and the circle is (x - 4)^4 + (y - 5)^2 = 68.

ABJeIIy Apr 1, 2024

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23

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+1444

plz help fast

Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible.

ABJeIIy Apr 1, 2024

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14

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+1444

help meeeee!

Let $a$ and $b$ be the roots of $x^2 + 7x - 4 = -x^2 + 9x + 6$. Find $(a + 3) + (b + 3).$

ABJeIIy Apr 1, 2024

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10

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+1444

help i really need help!

Solve the inequality x^3 + 4x > 5x^2 + 28x + x^3. Write your answer in interval notation.

ABJeIIy Apr 1, 2024

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20

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+1444

help plz! I need help!

For an integer n, the inequality
x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x. Find the number of different possible values of n.

ABJeIIy Apr 1, 2024

+1

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+262

please help!!

Let , , and be real numbers such that What is the largest possible value of ?

ABJelly Apr 1, 2024

+1

7

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+262

please help!!

Let . Evaluate . (This sum has 1000 terms, one for the result when we input each integer from 1 to 1000 into f.)

ABJelly Apr 1, 2024

+1

20

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+262

please help!!

Find all values of t such that . If you find more than one value, then list the values you find in increasing order, separated by commas.

ABJelly Apr 1, 2024

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9

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+721

Polygon

Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.
An equilateral triangle, a regular dodecagon, a square, and a regular n-gon, all with the same side length, also read more ..

bingboy Apr 1, 2024

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18

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+209

Counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 \le 10
in nonnegative integers, where x_2 is even and x_5 is odd.

fjeihqoO Apr 1, 2024

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11

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+209

counting

Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets at least $6$ chocolates?

fjeihqoO Apr 1, 2024

Mar 31, 2024

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4

1

+209

Probability

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

fjeihqoO Mar 31, 2024

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+209

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

fjeihqoO Mar 31, 2024

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14

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+436

Algebra

Let S be the set of all real numbers of the form
(a_1)/(3) + (a_2)/(3^2) + (a_3)/(3^3) + ...
where (a_i) is equal to either 0 or 1 or 2 for each i.
(a) Is the number 1/4 in the set S? read more ..

siIviajendeukie Mar 31, 2024

+1

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+436

Algebra

Compute
1 + \frac{3}{6} + \frac{15}{6^2} + \frac{27}{6^3}

siIviajendeukie Mar 31, 2024

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