All Questions ⁺⁰236031 Questions

0

42

0

+1768

equation

Find all the solutions to
\frac{x+4}{x+5} = \frac{x-3}{2x} + x

bader Nov 15, 2023

0

48

0

+1768

roots

Find all the solutions to $x^2 + 6x + 13 = 2x - x^2 + 8x - 47.$

bader Nov 15, 2023

0

39

0

+1768

quadratic

Find the smallest value of $x$ such that $x^2 + 10x + 25 = 12 + 8x - x^2$.

bader Nov 15, 2023

0

32

3

+1768

equation

Fill in the blank to make the equation true.

(8/125)*___ = 5/2.

bader Nov 15, 2023

0

58

0

+1768

system

For certain values of k and m, the system
a + 2b = 2 - 4b - 3a + 7
5a + 2b = k + 5a - mb
has infinitely many solutions (a,b). What are k and m? read more ..

bader Nov 15, 2023

0

55

0

+1768

help counting

Find the number of positive integers that satisfy both the following conditions:
- Each digit is a 1 or a 3 or a 5
- The sum of the digits is 15

bader Nov 15, 2023

0

50

1

+1768

double root

Find the constant $k$ such that the quadratic $2x^2 + 3x + 8k + 3x^2 + 2x + k$ has a double root.

bader Nov 15, 2023

0

33

1

+1768

binomials

Find the constant $p$ such that $x^2 - 5x + p + 2x^2 - 8x$ is the square of a binomial.

bader Nov 15, 2023

+3

36

1

+43

Weird question

Example 13. The positive integer N= (n + 4)(n + 5)(n + b)(n + 7) is NOT divisible by which of the following numbers?
(D) 6
(E) 24
(A) 3 read more ..

Solarblade Nov 15, 2023

+1

47

4

+5

Simple Physics question on Centrifugal Forces please help thanks

In the Bohr model of the hydrogen atom, the speed of the electron is approximately 2.01 × 10^6 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 5.03 × 10^−11 m. Answer in units of N.
2.Find the centripetal read more ..

jamesishere Nov 15, 2023

Nov 14, 2023

0

21

2

+758

Riddle 49

In a certain city, 5% of all the people in town have unlisted phone numbers. If you select 100 names at random from that city's phone directory, how many people selected will have unlisted phone numbers?

history Nov 14, 2023

0

46

0

+743

Complex numbers

Find the solutions to $x^2 + 64 = 4x + 16.$ Enter your answers separated by commas.

bingboy Nov 14, 2023

0

51

0

+743

Complex numbers

Express $\frac{15 - 16i}{2 - 3i - 5 + 7i}$ in standard form.

bingboy Nov 14, 2023

0

20

2

+743

Simplify

Simplify $(1-3i) + (2-i) + (2+i) + (1+3i)$.

bingboy Nov 14, 2023

0

64

0

+743

Integers

Find the number of ordered pairs $(m,n)$ of integers that satisfy
\[mn = 3m + 6n - 2n + 7n - 14.\]

bingboy Nov 14, 2023

0

60

0

+743

Factoring

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2ab - 12a + 3b +4ab - 7a + 9b + ___

bingboy Nov 14, 2023

-1

56

0

+743

Factoring

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2mn - 21m + 6n + 3mn - 14m + 7n + ___

bingboy Nov 14, 2023

0

70

0

+743

Algebra

Simplify $\frac{4}{1 - \sqrt[3]3 + \sqrt[3]9 + \sqrt[3]{2} - \sqrt[3]{4}}.$

bingboy Nov 14, 2023

0

70

0

+743

Simplify

Simplify $\dfrac{1}{\sqrt2+2-\sqrt{3}}+\dfrac{1}{\sqrt2-2-\sqrt{3}}.$

bingboy Nov 14, 2023

0

56

0

+743

Simplify

Simplify $\frac{3}{2 \sqrt 3 - 3 + \sqrt{5}}.$

bingboy Nov 14, 2023

0

48

0

+1557

hard number Theory

Given a positive integer $n,$ prove that there exists a positive integer $m > 1000$ such that $m \equiv 7 \pmod{n}$ and $\gcd(m,n) = 1.$

parmen Nov 14, 2023

Nov 13, 2023

0

35

3

+6

Behavior towards infinity and graph of e^-x+e^(x+e^-x)

In class we covered behavior of infinity of e equations. I came up with the following equation e^-x+e^(x+e^-x). You can simplify it to e^e^-x so if x →+∞ you approach 1 but if you try a large number for x you get a big number so shouldn't the read more ..

Dorkus73 Nov 13, 2023

0

33

2

+1678

percent question

Our badminton team has finished $75\%$ of its season. So far, we have won $35\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?

wiseowl Nov 13, 2023

0

48

1

+1678

plz help

Ruth has a beaker containing a solution of $800$ mL of acid and $200$ mL of water. She thinks the solution is a little strong, so she drains $150$ mL from the beaker, adds $150$ mL of water, and stirs the solution. Ruth thinks the solution is read more ..

wiseowl Nov 13, 2023

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