All Questions +0 231320 Questions

so i had a question that i have managed to simplify this far, but i cant quite get it down far enough.
given that a*b*c=27, and that a,b and c are negative real numbers, find the minimum value for (1-a)(1-b)(1-c) i believe the minimum is when all of read more ..

Guest Jun 5, 2021

-1

420

please help with this one

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Guest Jun 5, 2021

451

+50

Can someone help me understand my mistake?

I've seen the following problem: find the maximum of $|z^3-z+2|$ such that $|z|=1$.
My try was the following: using two times the triangle inequality, it follows that $|z^3-z+2| \leq |z|^3+|z|+2$, but $|z|=1$ and so $|z^3-z+2| \leq 4$.
I read more ..

Building A is 0.6 km east of building B. The bearing of a burning building from B is S 30 ̊W and S 50 ̊W from A. How far is building B from the burning building?

Hitago Jun 5, 2021

399

Building A is 0.6 km east of building B. The bearing of a burning building from B is S 30 ̊W and S 50 ̊W from A. How far is building B from

Find the absolute value of the difference of single-digit integers A and B such that
ABA_6 + 411_6 = 1215_6
Express your answer in base 6.

Guest Jun 5, 2021

329

Digit problem

A Senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of 1 Republican and 2 Democrats?

Guest Jun 5, 2021

408

Help probability

Ryan has 3 red lava lamps and 3 blue lava lamps. He arranges them in a row on a shelf randomly, then turns 3 random lamps on. What is the probability that the leftmost lamp on the shelf is red?

Guest Jun 5, 2021

437

Probability

A team of engineers just completed building a road, which that the traffic volume for the road will increase by 8% each year. When it was opened to the public for the first time, the traffic volume was 2800 vehicles per hour. a.Find the traffic volume read more ..

Guest Jun 5, 2021

361

anyone can solve this problem?

Given x_1,x_2 are the real roots of x^2-2mx+(m^2+4m+5)=0, please determine the minimum value of (x_1)^2+(x_2)^2.

Guest Jun 5, 2021

323

Help algebra

There is a unique pair of positive real numbers satisfying the equations \[ x^4-6x^2y^2+y^4 = 8 \qquad\mbox{and}\qquad x^3y-xy^3 = 2\sqrt{3}. \]Determine $x$, writing your answer in the form $a\cos\theta$, with $\theta$ in degrees.

I read more ..

Guest Jun 5, 2021

361

Halp

Suppose you have a weighted coin in which heads comes up with probability 3/4 and tails 1/4 with probability . If you flip heads, you win 2 but if you flip tails, you lose 1 What is the expected win of a coin flip in dollars?

Guest Jun 5, 2021

596

+201

Suppose you have a weighted coin in which heads comes up with probability $\frac34$ and tails with probability $\frac14$. If you flip heads,

A student applies to four colleges, all of which decide admissions through random lotteries. The probability of admissions to each college in given int the table below. If the student applies to all four of these colleges, what is the probability that he read more ..

mathisopandcool Jun 5, 2021

432

Help Please

Joseph borrows $10000 from his sister kate at an annual interest rate of 10%. If the interest is compounded twice a year, how much doe she owe after 12 months?

Guest Jun 5, 2021

349

+20

HELLPPP

Algebraically determine the exact value of sec(11pi/6+cot(8pi/3)/sin(-150). Simplify your expression completely.

picture of question: https://drive.google.com/file/d/1YFfwpDTdV7L-E4UIGbjwvDxRDAwTUG7z/view?usp=sharing read more ..

LookingForAnswers Jun 5, 2021

324

trig identities help

If the polynomial x^2+bx+c has exactly one real root and b=c+7, find the value of the product of all possible values of c.

Guest Jun 5, 2021

339

quadratic

Guest Jun 5, 2021

379

Can someone help me with this question

help me please

Guest Jun 5, 2021

364

Help with Trig. Questions

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Three Points on a circle: (-17,-2), (0,15), (9,-2). What is the equation of the circle?

Guest Jun 5, 2021

317

Help with coordinates

A line through the points (2, -9) and (j, -17) is parallel to the line 2x + 3y = 21. What is the value of j?

Guest Jun 5, 2021

345

Coordinates

A point P is randomly selected from the square region with vertices at $(\pm 1, \pm 1)$. What is the probability that P is within one unit of the origin? Express your answer as a common fraction in terms of pi.

Guest Jun 5, 2021

368

Probability

Solve the following trigonometric equation for 7 <= x <= 9: 4cos(3x-20)=1

Guest Jun 5, 2021

441

trig equation

At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and 8 students are taking both classes. How many people are in the chemistry class?

Guest Jun 5, 2021

248

counting

Guest Jun 5, 2021

441

+29

How Many 12-Step paths are there from A to B

thank you in advance :)

Find the smallest composite number that has no prime factors less than 10.

available Jun 5, 2021

Jun 4, 2021

778

Someone please answer this problem, I'm stuck :(