Akhain1

308 Questions
20 Answers

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Counting

How many 7-digit sequences have a digit that appears at least 6 times?
(For example, 3339333 and 0200000 are two such sequences. A sequence is allowed to begin with 0.)

Akhain1 May 1, 2025

0

5

1

+1271

Algebra

What is the domain of the function g(x) = (6x + 7)(2x - 3)?

Akhain1 Feb 22, 2025

0

9

1

+1271

Algebra

What is the range of the function g(x) = (6x + 7)(2x - 3)?

Akhain1 Feb 22, 2025

0

5

0

+1271

Algebra

The domain of the function p(x) = x^2 + 8x + 7x^3 is (-infty,infty). What is the range?

Akhain1 Feb 22, 2025

0

16

0

+1271

Algebra

The domain of the function q(x) = x^4 + 8x^2 + 7x^3 is (-infty,infty). What is the range?

Akhain1 Feb 22, 2025

0

13

1

+1271

Algebra

Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.

Akhain1 Jan 24, 2025

0

10

1

+1271

Algebra

Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

Akhain1 Jan 24, 2025

0

11

2

+1271

Algebra

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab^2 = 4. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

Akhain1 Jan 24, 2025

0

9

3

+1271

Algebra

Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p read more ..

CPhill ●●●

Akhain1 Jan 24, 2025

0

23

1

+1271

Algebra

Let
f(x) = \sqrt{x - \sqrt{x}}.
Find the largest three-digit value of $x$ such that $f(x)$ is an integer.

Akhain1 Oct 13, 2024

0

23

1

+1271

Algebra

Evaluate $a^3 - \dfrac{1}{a^3}$ if $a - \dfrac{1}{a} = 0$.

Akhain1 Oct 13, 2024

0

20

0

+1271

Algebra

Let $a_1,$ $a_2,$ $a_3,$ $\dots$ be a sequence. If
\[a_n = a_{n - 1} + a_{n - 2}\]
for all $n \ge 3,$ and $a_{11} = 1$ and $a_{10} = 4,$ then find $a_6.$

Akhain1 Oct 13, 2024

0

28

0

+1271

Number Theory

Convert 3132_4 to base 3 without first converting to decimal.

Akhain1 Sep 30, 2024

0

22

2

+1271

Number Theory

Find the smallest positive integer B so that when we express the decimal number 301 as a base B number, we still get a 2-digit number.

Akhain1 Sep 30, 2024

0

19

2

+1271

Algebra

All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?

Akhain1 Sep 7, 2024

0

28

1

+1271

Algebra

All members of our painting team paint at the same rate. If $10$ members can paint a $100$ square foot wall in $10$ minutes, then how long would it take the $15$ members to paint a $100$ square foot wall, in minutes?

Akhain1 Sep 7, 2024

+1

24

3

+1271

Algebra

Find the coordinates of the center of the circle.

Akhain1 Sep 5, 2024

0

28

0

+1271

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 $n$.

Akhain1 Sep 5, 2024