All Questions ⁺⁰236341 Questions

0

29

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+1839

Algebra

Compute
1 + \frac{3}{6} + \frac{5}{6^2} + \frac{7}{6^3} + 2 + \frac{2}{5} + \frac{2}{5^3} + \frac{2}{5^4}

ABJeIIy Mar 22, 2024

0

31

0

+1839

Algebra

Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?

ABJeIIy Mar 22, 2024

0

49

0

+1839

Sum

Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{39} + \sqrt{40}} + \frac{1}{\sqrt{40} +\sqrt{45}}

ABJeIIy Mar 22, 2024

0

40

0

+1839

Equation

Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.

ABJeIIy Mar 22, 2024

0

35

0

+1520

Circles

Two circles are externally tangent at T. The line AB is a common external tangent to the two circles, and P is the foot of the altitude from T to line AB. Find the length AB. read more ..

kittykat Mar 22, 2024

0

28

0

+1520

Geometry

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

kittykat Mar 22, 2024

+2

25

1

+280

Please help!!

Let x be a real numbe such that . What it in radical form?

ABJelly Mar 22, 2024

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30

1

+1839

Algebra

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

ABJeIIy Mar 22, 2024

0

37

1

+1839

help algebra

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

ABJeIIy Mar 22, 2024

0

40

0

+1839

system question

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 47
2a + 3b + 4c + 5d = 22
3a + 4b + 5c = -17 read more ..

ABJeIIy Mar 22, 2024

+1

36

1

+280

Please Help Me

Chuck deposits $2000 into a bank account that compounds monthly at an annual interest rate of 6% Assuming there are no other transactions, what will the balance be after 4 years, in dollars?

ABJelly Mar 22, 2024

0

25

1

+1520

Triangle

In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

kittykat Mar 22, 2024

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35

0

+1520

Triangle

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$, and $BC read more ..

kittykat Mar 22, 2024

0

19

1

+1520

Coordinates

Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
Point A is (5,7), and the line is y = x.

kittykat Mar 22, 2024

0

22

1

+681

counting

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people?

cooIcooIcooI17 Mar 22, 2024

0

35

0

+681

help counting

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people, including Mark?

cooIcooIcooI17 Mar 22, 2024

0

43

1

+681

counting

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people, not including Mark?

cooIcooIcooI17 Mar 22, 2024

0

23

1

+681

Counting question

A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, read more ..

cooIcooIcooI17 Mar 22, 2024

0

43

0

+681

help with counting

At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if read more ..

cooIcooIcooI17 Mar 22, 2024

0

27

0

+681

counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if read more ..

cooIcooIcooI17 Mar 22, 2024

0

45

1

+681

plz help

How many ways can you write two different letters chosen from
A B C D E F G H I J K L M N O P
so that they are in alphabetical order, and the first letter is a vowel? For example, AF and EN count, but DE and KC do not.

cooIcooIcooI17 Mar 22, 2024

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