All Questions ⁺⁰237746 Questions

0

83

1

+20

Expected Outcome

A standard deck of cards contains 52 cards. These 52 cards are arranged in a circle, at random. Find the expected number of pairs of adjacent cards that are both black.
I know that this expected outcome, where I would have, for example, case 1 where read more ..

NotydoleM Aug 18, 2023

0

48

2

+1662

help how to rationalize denominator

Rationalize the denominator of $\displaystyle \frac{1}{2 - \sqrt[3]{2}}$. With your answer in the form $\displaystyle \frac{\sqrt[3]{A} + \sqrt[3]{B} + \sqrt[3]{C}}{D}$, and the fraction in lowest terms, what is $A + B + C + D$?

The3Mathketeers ●●

wiseowl Aug 18, 2023

0

107

1

+1662

help

How do we know when a system has no solutions?
Suppose $K$ is a constant, such that no pair of real numbers $(x,y)$ satisfies this system of equations:
\begin{align*}
6x + 4y &= 7 \\
Kx + 4y &= 4
\end{align*}<#> read more ..

wiseowl Aug 18, 2023

0

86

1

+1662

solve the inequality

Find all values of $x$ that satisfy
\[5x - 1 < (x + 1)^2 + 7x - 3.\]

wiseowl Aug 18, 2023

0

117

1

help math

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain? read more ..

Guest Aug 18, 2023

-2

71

2

+818

help polynomials

I cant solve this
Let $P(x) = 0$ be the polynomial equation of least possible degree, with rational coefficients, having $\sqrt[3]{2} + \sqrt[3]{3}$ as a root. Compute the product of all of the roots of $P(x) = 0.$

maximum Aug 18, 2023

-2

112

1

+818

help me plz

Let $f(x)$ be a monic polynomial such that $f(0)=4$ and $f(1)=8$. If $f(x)$ has degree $2$, what is $f(x)$? Enter your answer in the form $ax^2+bx+c$, where $a$, $b$, and $c$ are real numbers.

maximum Aug 18, 2023

0

112

3

+132

Please help me!!

Given log53 = 0.6826 and log58=1.2920, evaluate the expressions.
(a) log52
(b) log5(75/8)
Thank you so much for checking this question out, can you please help me solve it read more ..

The3Mathketeers ●●●

thebestchesscat Aug 18, 2023

0

58

3

+132

I need some help please

Hi there, thank you for checking this question out. would you please help me, please

Gregory may choose between two accounts in which to invest $5000. Account A offers 2.3% read more ..

thebestchesscat Aug 18, 2023

+1

99

2

+10

help me more pls (i might have more btw)

The supply store sells 4 pencils for every 5 pens. The store sold 28 pencils yesterday. How many pens did the store sell?

The3Mathketeers ●●

Underfell Aug 18, 2023

+1

60

2

+10

help

There are 60 pencils in 4 pencil boxes. How many pencils are in 7 boxes?

Underfell Aug 18, 2023

0

77

3

+132

I need help with Matrices please

Thank you so much for reading this. Could you please help me :)
Consider the matrices.
L = [2 -3] , M= [ -1 7] , N= [-8 -2] read more ..

thebestchesscat Aug 18, 2023

0

118

2

+132

PLEASE HELP ME

Consider matrix A.
A= [-3 5 2]
8 -1 3
what matrix results from -7 * A ?
Enter the answer by filling in the blanks: read more ..

thebestchesscat Aug 18, 2023

0

85

1

+132

I NEED YOUR HELP!

Hi, can you please help me on this. thank you so much

Consider the matrices.
L = [2 -3] , M= [ read more ..

thebestchesscat Aug 18, 2023

0

114

1

+132

I NEED HELP PLEASE!!

Hey, I seriously need help with this. please help me i greatly appreciate it. This is Matrices.
consider the system of equations
2x+y=3
-3x+4y=23 read more ..

thebestchesscat Aug 18, 2023

0

119

1

counting and prob

Five adults and five children randomly sit in ten seats that are equally spaced around a circle, such that one person sits in each seat. What is the probability that there is at least one diameter of the circle with two adults sitting on opposite ends of read more ..

Guest Aug 18, 2023

0

105

1

+59

number theory pls help!!

Find the positive integer n satisfying gcd(n,180) = 18 and lcm[n,24] = 504.
thanks in advance!

dumplings Aug 18, 2023

-1

87

1

+1932

trigonometry

In right triangle $BCD$ with $\angle D = 90^\circ$, we have $BC = 10$ and $BD = 8$. Find $\sin B$.

tomtom Aug 18, 2023

0

101

0

+1932

floor function sum

Let
\[f(x) = \left\lfloor\frac{2 - 3x}{2x + 8}\right\rfloor.\]
Evaluate $f(1)+f(2) + f(3) + \dots + f(999)+f(1000).$ (This sum has $1000$ terms, one for the result when we input each integer from $1$ to $1000$ into ${}f$.)

tomtom Aug 18, 2023

Aug 17, 2023

-2

95

1

+1932

hard probability

A coin that is $8$ cm in diameter is tossed onto a $5$ by $5$ grid of squares each having side length $16$ cm. A coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position. Given that read more ..

tomtom Aug 17, 2023

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