All Questions ⁺⁰234646 Questions

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Counting

Alex chooses a number at random from the set {1, 2, 3, 4, 5}. Winnie also chooses a number at random from the same set. (They can choose the same number.) What is the probability that the product of their numbers is at least 4? read more ..

RedDragonl Sep 9, 2024

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+772

Counting

The following cards are split into three piles at random, so that every pile contains the same number of cards. What is the probability that every pile contains an Ace?
Ace of spades
Ace of hearts
Ace of diamonds read more ..

RedDragonl Sep 9, 2024

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+673

Number Theory

Let N be a positive integer. The number N has three digits when expressed in base 7. When the number N is expressed in base 18, it has the same three digits, in reverse order. What is N? (Express your answer in decimal read more ..

magenta Sep 9, 2024

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+162

Algebra

Let z and w be complex numbers such that |z|=1,|w|=1, and |z-w|=1. Find |z+w| .

MeIdHunter Sep 9, 2024

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+162

Need help

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 5.

MeIdHunter Sep 9, 2024

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+162

Help plz!

What is the coefficient of $x$ in $(x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)$?

MeIdHunter Sep 9, 2024

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+57

Halp Polynomials!

let
Give a polynomial g(x) so that f(x)+g(x) has a horizontal asymptote of y=0 as x approaches positive infinity.
The answer is not -11.

MeldHunter Sep 9, 2024

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+312

Algebra

There exists a polynomial $f(x)$ and a constant $k$ such that
(x^2 - 2x - 5) f(x) = 2x^4 + 19x^3 + kx^2 - 15x - 1.
What is $k?$

onyuIee Sep 9, 2024

Sep 8, 2024

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+820

Algebra

Find $t$ if the expansion of the product of $x^3$ and $x^2 + tx$ has no $x^2$ term.

Hi6942O Sep 8, 2024

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+820

Algebra

For an integer n, the inequality
x^2 + nx + 15 < -89 - 3x^2
has no real solutions in $x$. Find the number of different possible values of $n$.

Hi6942O Sep 8, 2024

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+1341

Algebra

Find all ordered pairs x, y of real numbers such that x+y=10 and x^3 + y^3 = 300 + x^2 + y^2.
For example, to enter the solutions (2, 4) and (-3, 9), you would enter "(2,4),(-3,9)" (without the quotation marks).

kittykat Sep 8, 2024

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+1341

Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

kittykat Sep 8, 2024

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+19

This is easy question plz help tho cuz uh Im dumb ig

A rectangular room measures 12-feet by 6-feet. How many square yards of carpet are needed to cover the floor of the room?

catttttttttt Sep 8, 2024

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+145

Help

Patrick bought 15 rulers and 20 highlighters at $50. He wanted to buy another highlighter but was short of 0.90. He decided to buy another ruter instead and had $0.40 left. How much did each ruler cost?

sugabreaddoughman Sep 8, 2024

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+145

Pls help

At first, Sam had 2/3 as much money as Paul. Ean had $36 more than Sam. After Paul gave $98 to Sam and some money to Ean, all three boys had the same amount of money. How much did they have altogether?

sugabreaddoughman Sep 8, 2024

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+8

srieduk

A bus left with 48 passengers. At the first stop, 1/8 of the total number of passengers dropped. At the second stop, a certain number of passengers boarded, equal to 1/3 of those the bus was carrying at that time. At the third stop, 4/7 of the passengers read more ..

florence2056 Sep 8, 2024

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+8

kur cicač

Mr Ravi spent 1/4 ofhis money on a shirt and 5/6 of his remaining money on a badminton racket, a pair of shorts and 2 pairs of shoes. The badminton racket cost 4 times as much as a pair of shoes while the pair of shorts cost 4 times read more ..

florence2056 Sep 8, 2024

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+116

Geometry

Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.

MEMEG0D Sep 8, 2024

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+116

Algebra

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

MEMEG0D Sep 8, 2024

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+779

Algebra

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

eramsby1O1O Sep 8, 2024

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+779

Algebra

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

eramsby1O1O Sep 8, 2024

Sep 7, 2024

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+1475

Algebra

In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire. read more ..

parmen Sep 7, 2024

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+1475

Algebra

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 3 hours and 36 minutes, but when there is a wind blowing from Penthaven to Jackson at 30 miles per hour, the trip takes 3 hours and 45 read more ..

parmen Sep 7, 2024

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+37

Geometry

Lines $XQ$ and $XR$ are tangent to a circle, as shown below. If $\angle QTA = 45^\circ$ and $\angle RUA = 45^\circ,$ then find $\angle QXR,$ in degrees.

AUnVerifedTaxPayer Sep 7, 2024

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