All Questions ⁺⁰236052 Questions

0

21

1

+842

Geometry

Points $T$ and $U$ lie on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PT}$ and $\overline{PU}$ are tangent to the circle. If $\angle TOP = 45^{\circ}$, then what is the measure of minor arc $TU$, in deg read more ..

RedDragonl Jun 6, 2024

Jun 5, 2024

0

29

1

+948

Algebra

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

Rangcr897 Jun 5, 2024

0

25

1

+948

Algebra

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}

Rangcr897 Jun 5, 2024

0

15

1

+1310

Counting

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.

learnmgcat Jun 5, 2024

0

17

1

+1310

Algebra

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

NotThatSmart ●

learnmgcat Jun 5, 2024

+1

13

1

+36

geometry problem that i have no idea how to approach or solve

A regular octagon has side length 2√2 inches. What is the sum of squares of its diagonals with different lengths? Express your answer in simplest radical form.

cheeeeeeese Jun 5, 2024

0

19

1

+1310

Algebra

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

learnmgcat Jun 5, 2024

0

24

2

+1310

Algebra

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

learnmgcat Jun 5, 2024

0

14

3

+1310

Absolute value

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

NotThatSmart ●●●

learnmgcat Jun 5, 2024

-3

22

1

+219

Algebra

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

BRAlNBOLT Jun 5, 2024

-3

15

1

+219

Algebra

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

BRAlNBOLT Jun 5, 2024

0

10

2

+4

ratio

The ratio of cats to dogs was 4 to 9. If there were 351 in all how many were cats?

doggy22 Jun 5, 2024

-3

19

2

+219

Algebra

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

BRAlNBOLT Jun 5, 2024

-1

10

1

+219

Algebra

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.

NotThatSmart ●

BRAlNBOLT Jun 5, 2024

0

15

1

+842

Algebra

What is the sum of all positive common fractions (in simplest terms) less than $5$ whose denominator is 3?

NotThatSmart ●

RedDragonl Jun 5, 2024

0

11

1

+842

Probability

If $m$ and $n$ are positive integers randomly chosen from the set $\{1, 2, \dots , 600\}$ with replacement, what is the probability that $2^m + 3^n$ is divisible by 11? Express your answer as a common fraction.

RedDragonl Jun 5, 2024

0

12

1

+842

Geometry

What is the area of the region bounded by the graphs of $y = |x + 2| - |x - 2|$ and $y = |x + 1| - |x - 5|$?

RedDragonl Jun 5, 2024

-3

24

0

+219

Geometry

What is the minimum possible perimeter of a triangle two of whose sides are along the $x$- and $y$-axes and such that the third contains the point $(1,1)$?

BRAlNBOLT Jun 5, 2024

-3

18

1

+219

Geometry

Find the minimum distance from any lattice point to the line $y = \frac{5}{3} x + \frac{12}{7}.$

BRAlNBOLT Jun 5, 2024

-3

36

0

+219

Counting problem

Syd chooses two different primes, and multiplies them. If both primes are greater than 2, and the resulting product is less than 500 , then how many different products could Syd have ended up with?

BRAlNBOLT Jun 5, 2024

0

18

1

+868

Geometry

In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees, and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.

eramsby1O1O Jun 5, 2024

0

17

1

+667

Geometry

The perimeter of a triangle is an integer. If one side of the triangle is $1$, then what is the smallest possible value of the perimeter? (Assume that the triangle is non-degenerate.)

NotThatSmart ●

siIviajendeukie Jun 5, 2024

0

15

1

+667

Geometry

All the sides of a triangle are integers. If the perimeter of the triangle is $5,$ then how many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are co read more ..

NotThatSmart ●

siIviajendeukie Jun 5, 2024

0

19

1

+667

Hard Geometry!

Triangle $ABC$ has altitudes $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$ If $AD = 18,$ $BE = 20,$ and $CF$ is a positive integer, then find the largest possible value of $CF.$

siIviajendeukie Jun 5, 2024

0

16

1

+4

I have problem when solving this exercise, can anyone break it into step by step for me to follow. Thank you so much

You are working on a bid to build a bridge per year for the next three years. This project requires the purchase of $1,000,000 of equipment that will be depreciated using straight-line depreciation to a zero-book value over the project's life. Ignore bonus read more ..

Newaccoutforcf Jun 5, 2024

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