Answer:
[tex]y = 2^x - 1[/tex]
Step-by-step explanation:
Let the number of disks be x and the minimum number of moves be y.
[tex]y = 2^x - 1[/tex]
When x = 1: y = 1
[tex]y = 1 = 2 - 1 = 2^1 - 1[/tex]
When x = 2: y = 3
[tex]y = 3 = 4 - 1 = 2^2 - 1[/tex]
When x = 3: y = 7
[tex]y = 7 = 8 - 1 = 2^3 - 1[/tex]
When x=4: y = 15
[tex]y = 15 = 16 - 1 = 2^4 - 1[/tex]
When x = 5: y = 31
[tex]y = 31 = 32 - 1 = 2^5 - 1[/tex]
Notice that for each derived expression of y, the exponent of 2 is being replaced by the value of x.
The general equation is: [tex]y = 2^x - 1[/tex]
Multiply (x+9)2 need help ASAP
Answer:
2+18
Step-by-step explanation:
(x + 9)2 distribute 2 · x = 2x and 9 · 2 = 18.
2x + 18, is the answer.
If you have any further question, please reach out to me :)
GIVING BRAINLIEST FOR BEST ANSWER!!!
In two paragraphs, explain how Vietnam’s political boundaries, affiliations, and alliances changed from the end of World War II to 1975, when the country finally achieved independence. Based on your research, include the causes and effects of foreign aggression on Vietnam during this period.
Answer:
Vietnam got its independence from France on 2 September 1945. during second world war, France becomes weak and cannot control Vietnam so France evacuated from Vietnam completely and Vietnam got its independence. Vietnam's political boundaries meets with China, Indonesia, Cambodia and Thailand.
Step-by-step explanation:
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
how are below 0, -10 and -20 related?
PLEASE HELP!!!!
Answer:
It’s a way to show how things are related. It may be a mathematical pattern.
Step-by-step explanation:
HELP PLEASE!!
Solve the system of equations below by graphing.
y= x - 3
y=-5/2x + 4
how many pints are in a cup?
Answer:
0.4 Pints
Step-by-step explanation:
What is the total weight, w, of 5 bags of soil?
Answer:200
Step-by-step explanation: I typed this and got it right
Three cylinders have a volume of 2826 cm. Cylinder A has a height of 900 cm. Cylinder B
has a height of 225 cm. Cylinder C has a height of 100 cm. Find the radius of each cylinder.
Use 3.14 as an approximation for T.
Answer:
the radius of each cylinder is 1 cm, 2 cm and 3 cm respectively
Step-by-step explanation:
The computation of the radius of each cylinder is shown below:
As we know that
The Volume of the cylinder = πr^2h
The radius would be
[tex]=\sqrt{ \frac{V}{\pi h} }[/tex]
For cylinder A
[tex]=\sqrt{\frac{2826}{3.14\times 900} }[/tex]
= 1 cm
For cylinder B
[tex]=\sqrt{\frac{2826}{3.14\times 225} }[/tex]
= 2 cm
For cylinder C
[tex]=\sqrt{\frac{2826}{3.14\times 100} }[/tex]
= 3 cm
Hence, the radius of each cylinder is 1 cm, 2 cm and 3 cm respectively
Find the equation of the circle that has center (-4,3) and passes through 3,-3
Answer:
(x+4)^2+(y-3)^2 = 85
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the center
r iis the radius
Get the radius
Radius is the distance between the two points
r^2 = (-3-3)^2 + (3-(-4))^2
r^2 - (-6)^2+(7)^2
r^2 = 36+49
r^2 = 85
Substitute (-4, 3) and r^2 = 85 into the formula
(x-(-4))^2 + (y-3)^2 = 85
(x+4)^2+(y-3)^2 = 85
This gives the required equation
How do i graph y=2x+5 ?
Answer:
y/2
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -9
what is 40 percent of 90 percent
Answer:0.36
or 36
Step-by-step explan: used calculator
Everyone will have juice in party and you have 10 liters of a juice blend (mixture of
pure juice and water) that is 60% pure juice.
1. How many liters of pure juice need to be added in order to make a blend that is 75% juice?
2. How many liters of pure juíce need to be added in order to make a blend that is 90% juice?
Answer: you added 6 liters of juice
Step-by-step explanation:
You have 10 liters of a juice blend that is 60% juice. How many liters of pure juice need to be added in order to make a blend that is 75% juice?
Ten liters of a juice blend at 60% juice means you also have ten liters of a juice blend at 40% water. 10 x .40 yields 4 liters of water in your blend.
A juice blend of 75% has a water content of 25%. So the same 4 liters of water must represent 25% of the blend after adding more juice.
4/.25 = 16 liters. 16 x .75 = 12.
12 + 4 = 16.
That means after adding your juice you will have 16 liters of blend at 75% juice.
You originally had 10 liters at 60% and now you have 16 liters at 75% . Subtracting 10 from 16 means you added 6 liters of juice.
Find the value of x.
25
65°
Answer:
The answer is x= 10.6
Step-by-step explanation:
because C and D are both bigger numbers then the side that is given so those are eliminated and you're left with A and B and there is no way it can be B because thats to big of a number so its A
area of a square with 1m side is?
Answer:
1 meter
Step-by-step explanation:
Okay so, all sides of a square are equal right? And is one side is 1 meter, then all of the sides are 1 meter. Your multiplying one by itself, making the answer pretty easy to find out.
Una fábrica produce 12 480 borradores cada semana. Estos artículos se venden empacados en cajas de una docena. ¿Cuántas cajas de borradores saldrán a la venta cada semana?
A bag contains 2 5/8 pounds of candy. If the candy is equally distributed to point
seven children, how many pounds will each child get?"
3/7
3/8
3/9
3/10
Answer this question:What is the difference between 9 < x and 9 = x? Explain.
9 < x
this means that x is a larger number than 9
9 = x
this means that x is equal to 9
solve а) 3х - 5 = 13
Answer:
6
Step-by-step explanation:
3х - 5 = 13
+5 +5
3x=18
/3 /3
x=6
What are the zeros of the function h(x)=2x2+x−15
?
A
x=−3andx=−52
B
x=−3andx=52
C
x=−52andx=3
D
x=52andx=3
1. what is the equation of a line that has an x-intercept of 2 and a y-intercept of 8
Answer:
B
Step-by-step explanation:
x- intercept = 2 .So, Coordinate(2 , 0)
y-intercept = 8 . So, Coordinate (0, 8)
[tex]Slope = \frac{8-0}{0-2}\\\\=\frac{8}{-2}\\\\=-4[/tex]
Slope y-intercept form: y = mx + b {Here, b is y-intercept}
y = -4x + 8
simplify the expression 3(j+2)-2
Answer: (3j + 6) or 3j + 4
Step-by-step explanation:
You distribute the 3 inside the parentheses and you could subtract the 2
Step-by-step explanation:
I hope this helps. 3j+6-2= 3j+4
I’m confused I’m not sure which one it is
Answer:
A.55
Step-by-step explanation:
Because DE parallel to AC m(<B) common angle So ABC similar to DBEm(<D) = m(<A) = 180 - (60 + 65) =558(12+a) its asking for the distributive property to simplify the expression
Answer:
96+8a
Step-by-step explanation:
8*a=8a
8*12=96
combine them
96+8a
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
-9x-8y= 41
-9x-2y=71
Answer:
I think it is add to eliminate x
Answer:
Step-by-step explanation:
I honestly don’t know how to do this I need help
Answer:
the answer is 90
Step-by-step explanation:
hope it helps
have a nice day ^_^
Answer:
It is 90 degrees.
Step-by-step explanation:
It is one fourth of 360 degrees, which is 90 degrees.
Hope that helps!
x - 3( 2 - 3x)=2 ( 5x - 2)
Please solve !!
Step-by-step explanation:
I hope that this helps:)
x-6+9x=10x-4
10x-6=10x-4
-6=-4
Tha statement is false for any value of x
x=0 no solution
Choose all the properties of a square
Answer:
Opposite sides are parallel. All sides are congruent. All angles are congruent. Diagonals bisect each other. Consecutive angles are supplementary. Diagonals are perpendicular and congruent.
Step-by-step explanation:
A square is a special shape in which all angles, sides, and diagonals are congruent to one another. Therefore, all sides and angles are congruent, the diagonals cross in the middle of the square making them perpendicular, the diagonals bisect each other in the middle, and they are supplementary because they are parallel.
4.913 rounded to the nearest tenth
Answer:
4.9
..........................
What’s the perimeter
Answer:64
Step-by-step explanation:
Answer:
64 is the answer :)
Step-by-step explanation:
i hope its correct