All Questions ⁺⁰237704 Questions

-1

549

3

calc help again

Let
\[f(t) = \int_0^t (x - 7)(x - 4)(x + 1)(e^x - 1) \left( \arctan (x) - \frac{\pi}{3} \right) \: dx.\]
Find all values of t where f(t) has a local minimum at t
read more ..

Guest Jan 6, 2021

0

544

2

hemisphere

A spherical soap bubble lands on a horizontal wet surface and forms a hemisphere of the same volume. Given the radius of the hemisphere is 3 cm, find the radius of the original bubble.

Guest Jan 6, 2021

0

503

1

inverse function

Let
f(x) = k(x) if x > 2
f(x) = -3x + 8 if x <= 2
Find the function k(x) such that f(x) is its own inverse. read more ..

Guest Jan 6, 2021

+1

1021

4

Help

Triangle ABC has vertices A(1, 0), B(0, −2) and C(3, −3). If triangle ABC is rotated 90◦
counterclockwise about A, what are the coordinates of the image of C?

Guest Jan 6, 2021

0

493

2

help

What is 4136 - 2156

Guest Jan 6, 2021

0

1

615

1

algebra

Let f(n) = n^2/(n^2 + n - 2).

Find the largest integer n such that f(2) * f(3) * f(4) * ... * f(n) < 1.98.

Guest Jan 6, 2021

0

880

1

Help

The integers r and k are randomly selected, where −3 < r < 6 and 1 < k < 8. What is the
probability that the division r ÷ k is an integer value? Express your answer as a common fraction.

Guest Jan 6, 2021

+4

552

2

+237

Expected Value

Two jokers are added to a 52 card deck and the entire stack of 54 cards is shuffled randomly. What is the expected number of cards that will be strictly between the two jokers?

AvenJohn Jan 6, 2021

+1

665

2

+1253

Modular arithmetic: no solutions in x

Given that x is a positive integer less than 6, how many values can k take on such that 3x = k (mod6) has no solutions in x?
For smaller numbers like this you can just test solutions, but I'd like to know how to do these problems when the numbers read more ..

CoolStuffYT Jan 6, 2021

0

588

2

counting problem

How many non-empty subsets of {1, 2, 3, 4, 5} consist entirely of prime numbers? (We form a subset of the group of numbers by choosing some number of them, without regard to order. So, {1, 2, 3} is the same as {3, 1, 2}.)

Guest Jan 6, 2021

0

977

1

hhhhheeeeelllllppppp

Ajax buys 20 shares of stock at $\$20$ per share. The shares increase in value by $20\%$. He then sells 10 shares. After the shares decrease in value by $10\%$, he buys another 20 shares. The shares then all increase by $50\%$. Determine the total dollar read more ..

Guest Jan 6, 2021

0

568

4

proportion

Given that y is inversely proportional to x^2 and x is always positive. If y=27 when x = 6, calculate the value of x when y=8.

Guest Jan 6, 2021

0

430

0

+130

Geometry

Sorry please ignore these past two questions it seems to glitch

HelpPls123abc Jan 6, 2021

0

459

0

+130

Geometry

In isosceles ∆ABC, AB=BC. The angle bisector AK of

TY

HelpPls123abc Jan 6, 2021

0

518

2

-0.3x+3 = 4.2

-0.3x+3 = 4.2 help

Guest Jan 6, 2021

0

790

4

+32

More probability help bc im dumb :)

Stanley’s bicycle lock has 4 dials, each with digits from 0 to 9. What is the probability that someone could guess his combination on the first try by randomly selecting a number from 0 to 9 four times?

(the read more ..

Kadjaye Jan 6, 2021

-1

533

2

+285

Help

If and , find .

hihihi Jan 6, 2021

0

574

0

+4

Statistics Confidence Interval Help

Hello, can someone help me on this question by explaining how to solve it? I don't want just the answer, but a way to understand how to solve it.

A one proportion z-test was used to conduct a test of the null hypotheses :
read more ..

Drale25 Jan 6, 2021

0

374

0

trig graphing

Below is the graph of y = a sin(bx), for some positive constants a and b. Find a + b.

Guest Jan 6, 2021

0

540

2

+23

I need help...

Hello!

I am asking for help on an AoPS question so I would rather not to be given the answer.
read more ..

SqltyPi Jan 6, 2021

0

872

4

+32

Probability Help

A spinner has 3 sectors
coloured red, blue,
and yellow. The pointer on the spinner is spun 3 times. Find the
probability of each event:
a) red, blue, and yellow

b) blue, blue, and not red
read more ..

Kadjaye Jan 6, 2021

0

502

1

function

The function f(x) has the property that f (x+y) = f(x)+f(y)+xy, for all positive integers x and y. If f(1) = 4, then what is the value of f(8)?

Guest Jan 6, 2021

+1

716

2

Question about Arithmetic Sequences

Find the value of $a_2+a_4+a_6+a_8+\dots+a_{98}$ if $a_1, a_2, a_3, \ldots$ is an arithmetic progression with common difference $1$ and\[a_1+a_2+a_3+\dots+a_{98}=137.\]

Guest Jan 6, 2021

0

443

1

+130

Geometry

In right ∆ABC (m

TY

HelpPls123abc Jan 6, 2021

-1

557

2

+285

Help

If x, y, and z are positive real numbers satisfying:
where a is a real number, what is a?

hihihi Jan 6, 2021

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