All Questions ⁺⁰237690 Questions

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150

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Sequence

Help how to do this

Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list?

Guest Feb 23, 2023

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148

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Factoring

Factor (ab + ac + bc)^3 - a^3*b^3.

Guest Feb 23, 2023

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183

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Binomial

Need help with binomial

The function f(n) satisfies
binom(2n)n - binom(2n + 1)(2n) = f(n) *binom(2n + 1)(n + 1) read more ..

Guest Feb 23, 2023

Feb 22, 2023

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151

1

factors of 1,000,000,000.

factors of 1000000000000

Guest Feb 22, 2023

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159

1

Tickets for a baseball game cost $a$a dollars for adults and $c$c dollars for children. The expression $2a+3c$2a+3c

Tickets for a baseball game cost $a$a dollars for adults and $c$c dollars for children. The expression $2a+3c$2a+3c represents the cost (in dollars) for a family to go to the game. What is the cost for the read more ..

Guest Feb 22, 2023

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156

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Counting

Sam writes down the numbers 1, 2, 3, ..., 99

(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0?
(c) What is the sum of all the read more ..

Guest Feb 22, 2023

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154

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Counting

How to solve this

Catherine rolls a 6-sided die five times, and the product of her roll is . How many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Feb 22, 2023

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162

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Precalc

Plz help with parametric equations

The position of a particle is given by the parametric equations
x = 1 + sin pi*t - cos pi*t read more ..

Guest Feb 22, 2023

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158

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Counting

Help plz with counting

Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3

Guest Feb 22, 2023

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217

1

+4

please help me with precal :)

Find cos(2a+b) given that a = sin^ -1 (4/5) and b = tan^ -1 (12/5).
***a is alpha and b is beta***
im not sure how to put a picture or else i would lol

kennedygalan Feb 22, 2023

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181

1

Geometry

Help plz with geometry

In triangle ABC, the angle bisector of angle BAC meets BC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

Guest Feb 22, 2023

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151

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Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Feb 22, 2023

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164

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Graphing

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Feb 22, 2023

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166

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I need help

the speed of light is 3 x 10^8 m/s the speed of sound through a specific medium is 150 m/s. How many times faster is the speed of light that the speed of sound

Guest Feb 22, 2023

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164

5

Geometry Help Please!!

An equilateral triangle is constructed on each side of a square with side length 2, as shown below. The four outer vertices are then joined to form a large square. Find the side length of the large square.

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Guest Feb 22, 2023

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154

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Sums

Let
A = 1/(1*3) + 1/(3*5) + 1/(5*7) + ...
and
B = 1/(2*4) + 1/(4*6) + 1/(6*8) + ... read more ..

Guest Feb 22, 2023

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156

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Polynomial

Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x + 1)(x + 2)(x + 3)
read more ..

Guest Feb 22, 2023

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155

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Inequality

Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.

Guest Feb 22, 2023

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121

3

what is the decimal of 13 1/8

what is the decimal of 13 1/8

Guest Feb 22, 2023

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224

10

+132

Precalc help please!!!

Consider the complex numbers in the picture below: Let $S$ be the set of all complex numbers $z$ satisfying \[|w+z| = |w| + |z|\]for the complex number $w$ above. Which of the complex numbers in the list \[s, t, u, v, w\]are in set $S$? Answer in any order read more ..

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Saphia1123 Feb 22, 2023

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175

2

Анализатор доступно для скачивания

Анализатор Ж501_311 доступно для скачивания от 18.02.2022

Guest Feb 22, 2023

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162

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Algebra

Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is irrational.

Guest Feb 22, 2023

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161

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Binomials

(a) Simplify (n/k)/(n/(k - 1))

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28. What must n be?

Guest Feb 22, 2023

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155

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Geometry

Plz help with geometry problem

In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem. read more ..

Guest Feb 22, 2023

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152

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Algebra

Let S be the set of all real numbers of the form
a1/3 + a2/3^2 + a3/3^3 + ....
where a_i \in {0, 1, 2} for all i.

(a) Is the number 1/7 in the set S? read more ..

Guest Feb 22, 2023

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