The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
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Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
What is the area of the triangle
Answer:
30 inches squared
Step-by-step explanation:
The formula for a RIGHT triangle is:
[tex]A= \frac{ab}{2}[/tex]
We are given..
a = 5 inchesb = 1 foot = 12 inchesTherefore...
[tex]A = \frac{5(12)}{2}[/tex]
[tex]A=\frac{60}{2}[/tex]
[tex]A = 30[/tex]
Help me plz, thank u! :))))
Answer: twice 31 and 13 = 75
Step-by-step explanation: 31 + 31 = 62 + 13 = 75
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
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why does the acute triangle go under polygon
Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4
Equations:
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Answer:
[tex]x+6=5+x[/tex]
[tex]5-3x=-3x+4[/tex]
Step-by-step explanation:
Given
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Required:
Which have no solution
[tex]x+6=5+x[/tex]
Subtract x from both sides
[tex]x -x+6 = 5 + x - x[/tex]
[tex]6 = 5[/tex]
[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]
[tex]-2(x-3)=-2x+6[/tex]
Open bracket
[tex]-2x + 6 = -2x + 6[/tex]
Both sides are equal.
Hence, there is an [tex]Infinite\ Number[/tex] of Solutions
[tex]4-4x=3x+2[/tex]
Collect like terms
[tex]-3x - 4x = 2 - 4[/tex]
[tex]-7x = -2[/tex]
Solve for x
[tex]x = \frac{-2}{-7}[/tex]
[tex]x = \frac{2}{7}[/tex] --- This has a solution
[tex]4(x+1)=3(x+2)[/tex]
Open brackets
[tex]4x + 4 = 3x + 6[/tex]
Collect like terms
[tex]4x-3x = 6 - 4[/tex]
[tex]x = 2[/tex] --- This has a solution
[tex]5-3x=-3x+4[/tex]
Add 3x to both sides
[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]
[tex]5 = 4[/tex]
[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]
This is what I need to find
Area:
Primeter:
Enter 14% as a fraction in simplest form.
Answer:
0.14 or 7/50
Step-by-step explanation:
Which inequality represents the situation? The maximum weight, w, an elevator can lift is 2,200 pounds. w ≥ 2,200 w > 2,200 w ≤ 2,200 w < 2,200
Answer:
w ≤ 2200
Step-by-step explanation:
If a lift can lift a maximum weight of 2200pounds, this means that the lift can not life a weight greater than 2200pounds. For the expression needed, the inequality sign to use will be a less than or equal to sign( ≤ ).
Hence the requires inequality expression will be w ≤ 2200
Given ABCD - WXYZ, Find the length of the segment AD, If Ab=12 WX=20 and WZ=8
PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS
Answer:
8
Step-by-step explanation:
the length of segment AD would be 8 since segment AD and segment WZ are equal in length!
Find the surface area and volume of a cube with sides that are 8 meters.
8*8*8 or 8^3 is the equation, the answer is 512
0 to 50m/s in 10s. What's the acceleration?
Answer:
v = 50m/s
u = 0
a = v-u/t = 50/10= 5m/s²
I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax.How much is my total grocery bill including tax
Answer:
81.51
Step-by-step explanation:
So first you will want to take the percentage of the $78.00.
What we do is multiply 78.00 by 0.045
which is 4.5%
You then get $3.51
Add that to the $78.00:
78.00 + 3.51
= $81.51
The slope of a line Ax + By + C = 0 is
A. m = A/B
B. m = -A/C
C. m = B/A
D. m = -A/B
A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?
Answer:
1 1/3 hours
Step-by-step explanation:
Pipe 1 alone:
fills the pool in 2 hours
in 1 hour, it fills 1/2 of the pool
Pipe 2 alone:
fills the pool in 4 hours
in 1 hour, it fills 1/4 of the pool
Pipe 1 and Pipe 2 working together:
fill the pool in x hours
in 1 hour, they fill 1/x of the pool
Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.
Working together, in 1 hour the two pipes fill 1/x of the pool.
Therefore,
1/2 + 1/4 = 1/x
2/4 + 1/4 = 1/x
3/4 = 1/x
x = 4/3
x = 1 1/3
Answer: 1 1/3 hours
convert 144km/h into metres per second.? pls make it quick loves :3
40
---
hope it helps
sorry if it doesn't
A washer and a dryer cost $662 combined. The washer costs $88 less than the dryer. What is the cost of the dryer?
Answer:
Step-by-step explanation:First you have to subtract 662-88 and you work it on paper so its easier and when you find the answer its 574
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy!!
Explanation is in the file
tinyurl.com/wpazsebu
Figure out $27 x 4 = n.
Answer:
$108
Step-by-step explanation:
20x4 = 80
7x 4 = 28
80+28 = 108
The sculpture consists of four identical prisms. Jane says the surface area of the sculpture is 4 times the surface area of one prism. Which statement about jane's method is true?
Options:
A.) Jane should multiply volumes, not areas.
B.) Jane should also subtract the areas of six hidden surfaces.
C.) Jane should also add the areas of six hidden surfaces.
D.) Jane is correct.
Answer:
B.) Jane should also subtract the areas of six hidden surfaces.
Step-by-step explanation:
When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.
When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).
Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.
Answer:
Jane should also subtract the areas of six hidden surfaces.
Step-by-step explanation:
I just did it on Imagine Math
But I really need help to pass
Answer:
the cane
Step-by-step explanation:
15 POINTS PLEASE HELP!!
Quadrilateral ABCD with vertices A(-1, 0), B(3, 3), C(6, -1) and D(x, -y). If vertices ABCD forms a square, find the length of diagonal BD. Round your answer to the nearest hundredth.
Answer:
7.07
Step-by-step explanation:
Find vertices D with desmos (it's 2,-4).
Use the distance formula or diagonal=a√2 (d=5√2)
Multiply them and get 7.07.
Since the vertices forms a square, all sides are the same length which is 5.
Also you bca kid rt?
HELP ME PLEASE..... i really need it asap
Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$
Step-by-step explanation:
80 / 5 = 16
50 / 3 = 16.666
Number of boys number of girls 11:9 there is 124 more boys than girls work out the number of students at the school
Answer:
1240
Step-by-step explanation:
Number of boys to a girl is
x:y= 11:9
9x= 11y
There are 124 more boys in the schooll than girls
x= 124+y
Substitute 124+y for x
9(124+y)= 11y
1116+9y= 11y
1116= 11y-9y
1116= 2y
y= 1116/2
y= 558
Number of girls is 558
The number of boys can be calculated as follows
= 558+124
= 682
Hence the total number of students is
= 682+558
= 1240
Marissa earns $120 per week working part time at a local bakery.
part A:
what are her deductible if 25% is take out for taxes
part B:
what is the amount of her paycheck after deductions
A. 4 m
B. 5 m
C. 6 m
D. 8 m
Answer:
A. 4m
Step-by-step explanation:
r= sqrt (64pi)/(pi*4) = 4m
Solve the system of equations without graphing. Show your reasoning.
Literally help.
Answer:
- x+2y= - 4
2y= - x - 4
Y=x-4/2
Y=x-2
Now, 2nd equation
4x+3y=5
4x+3.x-2=5
4x+3x-2=5
7x-2=5
7x=5+2
x=5+2/7
x=7/7
x=1
Now, continue with 1st equation
y=x-2
y=1-2
y=1
Therefore x=1
And
y=1
PLS ANSWER QUICK MY ASSIGNMENT IS DUE TOMORROW WILL MARK BRAINLIEST!! 15pts
Which of the lists of letters all have line symmetry?
a. A,B,C,D
b. W,X,Y,Z
c. L,M,N,O
d. S,T,U,V
Answer:
B
Step-by-step explanation:
when you slice them in half you get the same thing, example W, when slice you get two V V
Answer:
I go with choice a
Step-by-step explanation:
a) A,B,C,D they all have a line of symmetry
What is the measure of Adc ??!??
Answer:
Step-by-step explanation:
Although the VNA ADC is measuring voltage (-10V to +10V range in 14 bits), by using a trace formula, this voltage can represent other types of measurement parameters (such as current, temperature, or a scaled voltage).
An art teacher makes a batch of paint by mixing cup paint with cup paint. If she mixes batches, how many cups of paint will she have? The teacher will make nothing cups of paint.
Answer: 19 ¹/₂ cups of purple paint
Step-by-step explanation:
First find out the quantity of purple pain that she has:
= 3/4 + 3/4
= 6/4 cups of paint.
If she mixes 13 batches, the cups of purple paint she will have will be the original number multiplied by 13
= 6/4 * 13
= 78/4
= 19 ¹/₂ cups of purple paint
PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth.