Step-by-step explanation:
For all the recent strides we’ve made in the math world, like how a supercomputer finally solved the Sum of Three Cubes problem that puzzled mathematicians for 65 years, we’re forever crunching calculations in pursuit of deeper numerical knowledge. Some math problems have been challenging us for centuries, and while brain-busters like the ones that follow may seem impossible, someone is bound to solve ‘em eventually. Maybe.
For now, take a crack at the toughest math problems known to man, woman, and machine.
1. The Collatz Conjecture

DAVE LINKLETTER
Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.
A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.
Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.
The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.
The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.
Answer:
Sorry brillant26 or whatever gave you a invalid answer. its actually A (25 employees on the company email list) and D (25 employees at a company wide assembly)
Hope this helps!!
Have a nice day!!
Step-by-step explanation:
6(a + 12) equivalent expressions
6(a+12)
6a+72
---
hope it helps
45 degrees and 6 find each variable
Will mark brainliest
Answer:
[tex]x = y = 3\sqrt{ 2[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x and y
The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.
For this kind of parameter, the opposite = the adjacent
i.e. x = y
Apply Pythagoras theorem
[tex]x^2 + y^2= 6^2[/tex]
Substitute x for y
[tex]y^2 + y^2= 6^2[/tex]
[tex]2y^2= 36[/tex]
Divide by 2
[tex]y^2 = 18[/tex]
Take square root
[tex]y = \sqrt{18[/tex]
[tex]y = \sqrt{9 * 2[/tex]
Split
[tex]y = \sqrt{9} *\sqrt{ 2[/tex]
[tex]y = 3*\sqrt{ 2[/tex]
[tex]y = 3\sqrt{ 2[/tex]
[tex]x = y = 3\sqrt{ 2[/tex]
It takes your dog, Patches, 50 days to eat a 10 pound bag of dog food. How many pounds of food does your dog eat each day? Question 2 options: 0.2 lb 5 lbs 2 lbs 0.5 lb
Answer:
5 pounds of food each day
Step-by-step explanation:
So you do 50 divided by 10 and you get 5 pounds that your dog eats each day.
p.s. If I am wrong I am so sorry just trying to help people out.
Explain how to evaluate 34
Step-by-step explanation:
you can evaluate 3^4(3raise to the power of 4)by multiplying 3 four times and the answer is 81 (3*3*3*3) 81Answer:
Three to the fourth means multiply 3 together 4 times, so expanded form is 3 x 3 x 3 x 3. To evaluate the power, find the product of the factors in expanded form. 3 times 3 is 9, 9 times 3 is 27, and 27 times 3 is 81.
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to?
Step-by-step explanation:
[tex]4 {x}^{2} \sqrt{ {5x}^{4} } \times 3 \sqrt{5 {x}^{8} } [/tex]
[tex]4 {x}^{2} \times \sqrt{5} \times {x}^{2} \times 3 \sqrt{5} \times x ^{4} [/tex]
[tex]4 {x}^{2} \times {x}^{2} \times {x}^{4} \times \sqrt{5} \times 3 \sqrt{5} [/tex]
= 4x⁸ × 5 × 3
= 60x⁸
A shipping company borrows £70 million at 5% compound
interest to build a new cruise ship. If it repays the debt
after three years, how much interest will the company pay?
Answer:
10.500.000 libras esterlinas
Step-by-step explanation:
70000000 x 0,05 = 3.500.000
3.500.000 x 3 = 10.500.000
A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.
Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
Find the equation of this line.
Simplify the fractions.
Answer:
Step-by-step explanation:
Where's the line?
PLEASE HELP!!!
Shade 30% of the whole grid.
How much blocks do i shade?
Answer:
Shade 6
Step-by-step explanation:
There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.
Hi, can I send a screenshot for my math 110 class?
Answer:
go on
Step-by-step explanation:
¯\_(ツ)_/¯
please hurry!!
write the equation that represents the line
Answer:
y = 4/5x+3.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1), we have points (-3,-6) and (2,-2) so
m=(-2-(-6))/(2-(-3))
m=4/5 or 0.8 so our line is now
y=0.8x+b, using point (2,-2) we can solve for b
-2=0.8(2)+b
-2=1.6+b
b=-3.6 so the line is
y=0.8x-3.6 which can also be expressed as
y=4x/5-18/5
50! POINTS! HELP QUICK!
Which of the following is the equation for the graph shown?
y squared over 4 minus x squared over 12 equals 1
y squared over 16 minus x squared over 12 equals 1
x squared over 4 minus y squared over 12 equals 1
x squared over 16 minus y squared over 12 equals 1
50 points!
quick answer please!!!
Answer:
a. it has reflectional symmetry with 16 line of symmetry
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble, replace it, and draw another marble. What is the probability that the first will be red and the second will be blue? NEED HELP ASAP
Answer 1. 20%
2. 80%
3. 8%
4. 12%
Answer:
Either 8% or 12%.
Step-by-step explanation:
multiplication: 2x12=__________
Answer:24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
12+12=24
help me w this please :)
if x squared by 3 equal 64 what is the value of x
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
How many solutions does this equation have?
–9 − 5p = –2 − 5p
Answer:
no solutions
Step-by-step explanation:
Willard F. Libby received his undergraduate degree from
.
After he completed his graduate work, he became a professor at
.
In 1960, he won a Nobel Prize in
Answer:
Berkley
Step-by-step explanation:
After he completed his graduate work, he became a professor at Berkley.
Answer:
Willard F. Libby received his undergraduate degree from
✔ University of California, Berkley
.
After he completed his graduate work, he became a professor at
✔ University of California, Berkley
.
In 1960, he won a Nobel Prize in
✔ chemistry
.
Step-by-step explanation:
help me plz branniest to whoever right
Answer:
vertex: (-1,25)
aos; -1
left x int: -6
right x int: 4
(not sure)
range is less than of equal to 25
Solve: 64-3x-3 .64+22=38
4.0/5
136
The answer is x = -8/9.
Hope you have a good rest of your day. :)
Answer:
B. [tex]x=-\frac{8}{9}[/tex]
Step-by-step explanation:
edge 2021
:) Good luck, loves!
Find the value of x.
Answer:
x = 1.8
Step-by-step explanation:
7x = 17x - 18
bring all x values to a side
7x -17x = -18
-10x = -18
divide by -10
x = 9/5 = 1.8
The value of x is 6.
We know from Mid point theorem
The Midpoint Theorem, also known as the Midsegment Theorem, states that in a triangle, the line segment connecting the midpoints of two sides is parallel to the third side and is half its length.
So, from the figure we can write
7x = 1/2 (17x - 18)
7x (2) = 17x - 18
14x = 17x - 18
By subtracting 17x from both sides to eliminate the x term on the right side:
14x - 17x = 17x - 17x - 18
-3x = -18
Next, divide both sides of the equation by -3 to solve for x:
(-3x) / -3 = (-18) / -3
x = 6
Learn more about Mid point theorem here:
https://brainly.com/question/13677972
#SPJ6
how can making a table or graph help you decide whether a rule is a function
Answer:
It is possible to know whether the rule is a function or not through the graph by drawing a straight line parallel to the Y axis.If the straight line cuts the graph of the relationship at more than one point, then it is not a function. If it breaks it in one point, then it becomes a function.
Step-by-step explanation:
If you need any explanation on math you can communicate with me on Whats on this number +201557831028 or in email or face
Solve for the area of the part shaded in purple
Answer:
area of a trapezium
1/2 ( a+b)h
1/2 (15+9)15
1/2 *24*15
12*15
=180
Answer:
180 cm
Step-by-step explanation:
this is because if you find the correct area of the purple rectangular shape first, you would have the equation 15 x 9. this equation will give us an answer of 135 mm. our next step would be to find the area of the triangle.
our equation for this will be 15 x 6. this will give us our answers of 90. but because it is a triangle, we will have to divide by two. given is 45. our new equation will now be 135 + 45 given us our sum of 180 cm for the assumed area.
Which of the following are perfect powers?
1
24
Answer:
Uhh, I guess 24? I don't understand this question
Question: Which of the following are perfect powers?
Answer:
The answers on Edge are 27, 81, and 100. These are perfect powers.
X times 3+6 when X equals four
Step-by-step explanation:
4 x 3 + 6
12 + 6
= 18
or
4 x (3+6)
4 x 9
= 36
depends whether the 3+6 is in brackets :)
Answer:
if x = 4
then,
4 (3 + 6)
12 + 24
= 36
Depends whether they are in brackets but usually i would consider it in this problem.
Without the brackets would be:
4 x 3 + 6
12 + 6 = 18
The diameter of a cylindrical vessel is 42 cm and its height is 50 cm. Find the
volume of the vessel. ( π = 22 / 7 )
Answer:
I have made it in above picture
My dad was painting our living room. He started with 5/9 of a can of paint.
He used 1/3 of the can. How much paint did he have left?
Answer:
0.2 rounded up or 1/5 (also rounded up)
1
This quilt is made up of cloth pieces shaped like isosceles right triangles.
The hypotenuse of each triangle is 16 centimeters long. Find the area of one
cloth triangle. *choose one
32 square centimeters
16 square centimeters
42 square centimeters
64 square centimeters
Answer:
Its 64 cm
Step-by-step explanation:
Adice is thrown once. Find the probability
of getting an even number .
Answer:
50%
Step-by-step explanation:
There are 6 sides on a normal dice 2,4,6 are even numbers making it 3/6 or 1/2 of the numbers are even so there is a 50% chance an even number will be rolled.
