All Questions ⁺⁰235719 Questions

-1

26

1

+0

Angles and Angle Measures

xXValeXx Feb 20, 2024

-1

35

4

+0

Angles and Angle Measures

xXValeXx Feb 20, 2024

0

24

1

+400

Sequences

Let a_1, a_2, a_3, \dots be a sequence. If
a_n = a_{n - 1} + a_{n - 2}
for all n \ge 3, and a_{11} = 4 and a_{10} = 1, then find a_6.

omgitsrne Feb 20, 2024

0

19

1

+400

Algebra

Evaluate a^3 - \dfrac{1}{a^3} if a^2 - a - 1 = 0.

omgitsrne Feb 20, 2024

0

23

1

+704

Algebra

Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 + b^2 = 6 + 2ab,$ then what is $a^3 + b^3?$

booboo44 Feb 20, 2024

0

37

2

+704

Fraction

Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{2}}}}.

booboo44 Feb 20, 2024

0

5

0

+400

Absolute Value

Find all c such that |c + 5| - 3c = 10 + 2|c - 4| - 6|c|. Enter all the solutions, separated by commas.

omgitsrne Feb 20, 2024

0

4

2

+400

Logarithm

Find x if \log_2 (\log_3 x) = 2 \log_4 (x).

EnormousBighead ●●

omgitsrne Feb 20, 2024

0

2

1

+400

Logarithm

Suppose $a\neq 0$. Compute $\log_{8a} 4$ if $a = 1/4$.

EnormousBighead ●

omgitsrne Feb 20, 2024

+1

20

3

+0

I thought it was fun

A triangle is partitioned into three triangles and a quadrilateral by drawing two lines from vertices to their opposite sides. The areas of the three triangles are 3, 7, and 7, as shown. What is the area of the shaded quadrilateral?
read more ..

EnormousBighead Feb 20, 2024

0

2

1

+400

Logarithm

Compute \log_{1/2} (16*5*1/10).

EnormousBighead ●

omgitsrne Feb 20, 2024

0

24

0

+1678

Counting

Each unit square of the 4x4 grid below is to be filled in with the number 1, 2, 3 or 4, so that:
All the numbers in each row add up to 10
All the numbers in each column add up to 10.
In how many ways can this be done? read more ..

wiseowl Feb 20, 2024

-1

12

2

+1678

Arrangements

Find the number of ways of arranging the numbers 1,2 ,3, 4, 5, 6 in a row so that the product of any two adjacent numbers is at least 5.

wiseowl Feb 20, 2024

0

25

1

+743

Solve

Solve for the variable x in terms of y and z, assuming y \neq \frac{1}{2}:
xy + x = \frac{3x + 2y + z + y + 2z}{3}

bingboy Feb 20, 2024

0

24

1

+743

Equation

Find all values of a that satsify the equation \frac{a}{3} + 1 = \frac{a + 3}{a} + 1.

bingboy Feb 20, 2024

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