All Questions ⁺⁰236164 Questions

-2

67

2

+816

Isosceles triangle

In isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=2(HC) then determine BC.

maximum Sep 11, 2023

0

56

1

+4

present value in investments

Janine is 21 years old. She opens an account that pays 1.25% interest, compounded monthly. She sets a goal of saving $10,000 by the time she is 24 years old. How much must she deposit each month?

ElectricPavlov ●

iraimaramirez04 Sep 11, 2023

-1

30

1

+743

Even and odd functions

Let $e(x)$ be an even function and let $o(x)$ be an odd function, such that
\[e(x) + o(x) = x^2 + x^3\]
for all $x.$ Let $f(x) = e(x) + o(x).$ Find $f(2).$

bingboy Sep 11, 2023

0

77

1

solve this equation

Guest Sep 11, 2023

-1

57

2

+743

quadratic

Find the non-zero value of $a$ such that the quadratic equation $ax^2+8x+4=6x-40$ has only one solution.

ElectricPavlov ●●

bingboy Sep 11, 2023

-1

63

1

+743

digits

All of the digits of a three-digit integer are distinct and non-zero. Furthermore, the three-digit integer is divisible by 25. Find the largest three-digit integer that has these properties.

bingboy Sep 11, 2023

0

61

4

divisors

How many integers from 1 to 9 are divisors of the five-digit number 24,551?

Guest Sep 11, 2023

-1

33

1

+743

interval

Find all real numbers $x$ such that $\frac{-2x+5}{7} + \frac{3x-1}{2}$ is in the interval $[0,1)$.

bingboy Sep 11, 2023

0

31

3

quadratic

There is exactly one value of $x$ for which the distance from $(5,6)$ to $(3x-1,ax+5)$ is $4$. If $a \neq 0,$ what is $a$?

Guest Sep 11, 2023

0

65

1

hard 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 ${}f$.)

Guest Sep 11, 2023

Sep 10, 2023

+2

30

8

Wow! Does anybody else think this new AI interface is awful? Posted answers don't appear for a long time.....Q's may show multiple answers

Wow! Does anybody else think this new AI interface is awful? Posted answers don't appear for a long time.....Q's may show multiple answers (or corrections) ....but you cannot see them until a moderator OK's them.....or SOMETIMES AI read more ..

off-topic

●●●●●●●●

Guest Sep 10, 2023

0

66

1

help circles

In the diagram, $O$ is the center of a circle with radii $OP=OQ=5$. What is the perimeter of the shaded region?

Guest Sep 10, 2023

0

78

1

need answer

105p^6 divided by 21p^5

Guest Sep 10, 2023

0

65

0

floor

Find all values of $t$ such that $\lfloor t\rfloor = 3t + 4/5$. If you find more than one value, then list the values you find in increasing order, separated by commas.

Guest Sep 10, 2023

0

47

1

inequalities

(1) Let a_1, a_2, a_3 be real numbers such that
|a_1 - a_2| + 2 |a_2 - a_3| + 3 |a_3 - a_1| = 1.
What is the largest possible value of |a_1 - a_2|?
(2) Let a_1, a_2, a_3, \dots, a_{10} be real numbers such that read more ..

Guest Sep 10, 2023

0

69

1

simplify

simplify ((mn^3)^2)*(((2^-2)(m^-1)(n^3))^-2)

Guest Sep 10, 2023

-1

28

1

+743

Average

Find the average of all the integer values of $M$ such that $\frac{M}{56}$ is strictly between $\frac{1}{5}$ and $\frac{5}{4}$.

bingboy Sep 10, 2023

0

67

4

+16

Need help. Don't understand

Daniel filled 7/12 of a tank with 8 pails of water. Another 4 pails and 3 jugs are needed to fill the tank completely. How many jugs of water can the tank hold?

jakeviamcknight24 Sep 10, 2023

-1

76

1

+743

inequality problem

Find the number of integers $n$ that satisfy both of the inequalities $4n + 3 < 253$ and $-7n + 5 < 24$.

bingboy Sep 10, 2023

+1

71

1

+9

Algebra Problem

Given that (-2, 3) is on the graph of y = f(x), find a point that must be on the graph of y = f(2x+1)+3 . Express your answer as an ordered pair (a, b) where a and b are real numbers.

mingus Sep 10, 2023

-1

79

1

+743

Help with figure

Can anyone help with this? I don't know what to do.
Regular hexagons are placed side-by-side in a continuous pattern. What is the maximum number of congruent hexagons that can be placed side such that the perimeter of the resulting read more ..

bingboy Sep 10, 2023

+1

55

1

+15

Six children are each offered a single scoop of any of $3$ flavors of ice cream from the Combinatorial Creamery. In how many ways can each c

Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that some flavor of ice cream is selected by exactly three ch read more ..

pinkston Sep 10, 2023

-1

75

0

+1348

definition of function

For what values of $x$ is the expression $\frac{\log(x^2-4x-5+2x)}{\sqrt{x-1}}$ defined? Express your answer in interval notation.

sandwich Sep 10, 2023

1 Online Users