Answer:
144
Step-by-step explanation:
For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.
1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s
2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s
Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.
3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s
Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.
__
If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...
[tex](x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}[/tex]
For n=1 to n=10, these pairs are ...
(1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)
The sequence of b[n] values is ...
2, 3, 5, 8, 13, 21, 34, 55, 89, 144
which are the n=3 to n=12 numbers from the Fibonacci sequence.
That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.
24% of 200 is what percent of 500
Answer:
9.6%
Step-by-step explanation:
A stack of bricks has a
base with an area of 38
inches. If the height is 12
inches, then what is the
volume?
Answer: 456 inched cubed
The Explanation: Basically, we are going to take the base area which is 38 and multiply that by a height of 12.
38 x 12 = 456
of 0.1 - ? 0.1 as a fraction
Answer:
0.1 as a fraction is 1/10
Step-by-step explanation:
Answer:
the answer is 1/10•••••••••
Shade of the grid.
4
Click and drag to shade.
Answer:
I would shade 50 squares
Step-by-step explanation:
"Of" is the same as multiplication so,2/4×100/1=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2×100/4×1=200/4
Since 200 divided by 4 equals 50 then, 200/4=50
Therefore: 2/4 of 100/1=50
Tyler reads 2/15 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
Answer:
There are 200 pages in the book
PLEASE HELP NOW!
Select the correct answer. Josh works as a server at a restaurant. The given data set shows the amount of gratuit 10, 8, 50, 15, 10, 25, 20, 5, 12, 15, 20, 15, 25, 18, 20 Which box plot represents the data set?
A. W
B. X
C. Y
D. Z
By analyzing the data and the interquartile ranges on the graphs, we will conclude that the correct option is A.
Which graph represents the data?The data is:
{10, 8, 50, 15, 10, 25, 20, 5, 12, 15, 20, 15, 25, 18, 20}
You can see that the minimum is 5, and the maximum is 50.
Now, if we analyze our data by ordering it from lowest to largest, we get:
{5, 8, 10, 10, 12, 15, 15, 15, 18, 20, 20, 20, 20, 25, 25, 50}
There are 16 numbers, so each interquartile has 4 elements. If you see the last interquartile (last 4 digits) you can see that it starts with a 20.
The graph where the last interquartile starts at 20, is the first graph, so the correct option is A.
If you want to learn more about graphing data, you can read:
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Answer: the answer is w
Step-by-step explanation:
HELP THIS IS DUE TODAY!Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B. *
5 points
4.5 inches by 1.5 inches
8 inches by 2 inches
10 inches by 4 inches
13.5 inches by 4.5 inches
90 inches by 30 inches
Answer:
1. 90 in. by 30 in.
2. 4.5 in. by 1.5 in.
3. 13.5 inches by 4.5
Those are the 3 correct answers.
The length of RT is 4x-4.Given that point S is between point R and T,
where the length of RS is 2x + 6 and the length of ST is 16, what is the
length of RS?
Answer:
RS = 32
Step-by-step explanation:
Set-up equation like this -- 2x+6+16=4x-4
Solve for x
Then plug x in for the length of RS. You should get 32 for RS.
a hat contains 3 blue and 5 black tickets. if one ticket is chosen at random from the hat what is the probability that it is blue?
Answer:
3/8
Step-by-step explanation:
3/(3 + 5) = 3/8
Chelsea made monthly payments for four years before her $13,440 loan was paid off. The loan had an interest rate of 5.86%, compounded monthly. Chelsea paid $156.60 in service charges. To the nearest tenth, what percentage of the total cost of the loan did her finance charges comprise?
The answer would be 11.9%
Adding and subtracting fractions with different denominators D:
Answer:
(I only did question 11 because the rest is just repetition)
Step-by-step explanation:
make the denominators the same by finding the LCM (lowest common multiple)
(I apologise if I do this incorrectly, the image is very blurry)
So what I did was make the denominator a number that both 2 and 3 can multiply to. (2x3=6 and 3x2=6)
Then whatever you do to the bottom you always do to the top.
- to go from 2 to 6, multiply by 3
- do that to the numerator
- to get from 3 to 6, multiply by 2
- do that to the numerator
= 17/6
Simplify to mixed fraction
The side length of one cube is 4 cm.
What is the volume of one cube?
Answer:
64 cm³
Step-by-step explanation:
Volume of cube
[tex] = \textcolor{steelblue}{\text{side}\times{\text{side} } \times\text{side}}[/tex]
[tex] = \textcolor{steelblue}{\text{side} {}^{3} }[/tex]
Given that the side is 4cm,
volume of cube
= 4³
[tex] = \textcolor{red}{64 \: \text{cm} {}^{3} }[/tex]
what is 347483934 times 47849372983743
Answer:
I got 1.6626888363824336e+22
Step-by-step explanation:
3k + 2(5k – 3) = 7
solve for K!!
Answer:
k=1
Step-by-step explanation:
Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown. Circles X and Y are shown. Circle X has a radius of 6 units and circle Y has a radius of 2 units. Which steps would prove the circles similar? Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4. Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4. Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3. Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
The scale is 6/2 = 3
tanslate the circles to have the same center point and scale circle y by a factor of 3.
The answer is C.
Answer:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Step-by-step explanation:
To prove circles are similar:
Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).Dilate the smaller circle to increase its size to coincide with the larger circle. The amount that the circle needs to be dilated by is the scale factor.As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:
scale factor = 6 ÷ 2 = 3
Solution
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
What is the slope of the line that passes through the points)(7,−4) and (7, 0) ? Write your answer in simplest form.
Slope=Δy/Δx=(y2-y1)/(x2-x1)
The points are (7,-4) and (7,0)
So slope= [ 0 -( -4 ) ] / [ 7 -7 ] = 4/0 =undefined
We know this is the vertical line of x=7 and vertical lines have undefined (or infinite) slope
.please help meeeeeee
A rectangle has an area of 24x + 6. What are all the possible side lengths of the rectangle.
The required possible side lengths of the rectangle are B. 2 and 12x+3 and C. 3 and 8x + 2.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
The area of a rectangle is given by the formula A = l x w, where l is the length and w is the width of the rectangle.
We know that the area of the rectangle is 24x + 6, so we can set up the equation:
24x + 6 = l x w
We want to find all possible combinations of length and width that satisfy this equation.
One way to approach this is to factor the expression 24x + 6 and look for pairs of factors that multiply to give the same product.
24x + 6 = 6(4x + 1)
Now we can see that one possible set of dimensions is:
l = 6(4x + 1)
w = 1
This gives us an area of:
A = l x w = 6(4x + 1) x 1 = 24x + 6
Another possible set of dimensions is:
l = 2(12x + 3)
w = 3
This gives us an area of:
A = l x w = 2(12x + 3) x 3 = 24x + 6
So the possible side lengths of the rectangle are:
l = 6(4x + 1), w = 1
l = 2(12x + 3), w = 3
Learn more about rectangles here:
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5 points
Your distance from lightning varies directly with the time it takes you to
hear thunder. If you hear thunder 10 seconds after you see the lightning,
you are about 2 miles from the lightning. Estimate how many seconds it
would take for the thunder to travel a distance of 4 miles? *
Answer:
d = 1/5t
Step-by-step explanation:
Since it is a direct variation , Let d represent the distance and t represent the time ,then
d ∝ t
introducing the proportionality constant, we have
d = kt
Substituting t = 10 and d = 2 , we have
2 = 10k
k = 1/5
substitute k = 1/5 into the original equation , we have
d = 1/5t
Step-by-step explanation:
Match the following.
Answer:
1. regular polygon
6. triangle
4. side of polygon
5. polygon
3. quadrilateral
2. vertex
I’m stuck on a math problem. It’s asking..
You plan to purchase a house for $425,000 and you will make a 30% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.77% and a 15 year fixed mortgage at 2.15%. Your goal is to have a monthly payment that fits within your budget.
A. Which mortgage will give you the lowest monthly payment . What will that payment be. How much less will this be than the other monthly mortgage payment.
B. Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest. What will that interest be? How much less will this be than the interest on on the other mortgage?
Answer:
A. 30 years at 2.77%; $1217.67; $717.38 lower
B. 30 years at 2.77%; $140861.72; $90,051.68 difference
Step-by-step explanation:
A suitable spreadsheet, calculator, or financial app can help you answer these questions. In the attachments, we show the result of using a TI-84 work-alike calculator's financial app.d
A.The lowest monthly payment generally results from the longest-term mortgage, even when the interest rate is slightly higher. Here, the lowest payment is $1217.67 on the 30-year loan. It is $717.38 lower than the payment on the 15-year loan.
__
B.The longer-term loan will generally require payment of more interest. Here, that is made worse by the higher rate on the longer loan. The interest is the sum of payments less the initial principal. The highest amount of interest is $140,861.72 on the 30-year loan. That is $90,051.68 more than for the 15-year loan. (The wording of the question seems to be confused.) The least interest amount is $50,810.04 on the 15-year loan.
John made a lump sum deposit of $ 6,300 in an account that pays 6.5% per year. Find
the value (maturity value) of his account after 5 years. How much is the interest?
Answer: $8,347.50 is the value of his account after five years.
Interest is $409.50 per year.
Total amount of interest paid is $2,047.50.
The maturity value in John's account is $8347.5.
Given that, principal =$6300, rate of interest =6.5% and the time period =5 years.
What is the maturity value?Maturity value is the amount due and payable to the holder of a financial obligation as of the maturity date of the obligation. The term usually refers to the remaining principal balance on a loan or bond. In the case of a security, maturity value is the same as par value.
Now, S.I. = (P×T×R)/100
= (6300×5×6.5)/100
= 2047.5
So, interest =$2047.5
Maturity value = Principal + Interest
= 6300+2047.5
= $8347.5
Therefore, the maturity value in John's account is $8347.5.
Learn more about the maturity value here:
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6x - 8 = 16
Solve the following equation. Then place the correct number in the box provided.
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 16
Add 8 to both sides.
6x = 24
Divide both sides by 6.
x = 4
Answer:
x=4
Step-by-step explanation:
6x-8=16
6x-8+8=16+8
6x=24
6x/6=24/6
x=4
Hope this helps! Pls give brainliest!
Juanita did this work to solve an equation. Did she make an error?
Answer:
B
Step-by-step explanation:
Matching.
1.
one who is nominated or designated to a position
war chest
committee
patronage
electoral vote
2. appointing individuals to political offices
money designated for the purpose of conducting a winning
3.
campaign
the vote each state is given to cast for a national candidate
4.
for President of the United States
the chairman of the national committee and the presidential
5.
candidate
the group of leaders who make the major decisions in the
6.
political party's election strategy
specific leader
appointee
Answer:
1.) apponitee
2.) patronage
3.) war chest
4.) electoral vote
5,) specific leader
6.) committee
Step-by-step explanation:
6. Știind că a·b+a:C= 100 și b+c= 20, atunci a este
egal cu:
a) 4
b) 200
C) 5
d) 80
Decide whether the function is linear, exponential,or neither
Answer:
C is nonlinear. D is linear
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Determine the volume of the irregular figure width 6 height is 4 length 3
Solution:
We know that:
Volume of figure = LBHL = 3 unitsB = 6 unitsH = 4 unitsFinding the volume of the irregular figure:
[tex]Volume \ of \ figure = LBH[/tex]=> [tex]Volume \ of \ figure = 3 \times 6 \times 4[/tex]=> [tex]\bold{Volume \ of \ figure = 72 \ units^{3} }[/tex]Kira wants to buy a tablet computer for $600.she has already saved $275.she plans to save $40 every week until she has enough money to buy the tablet. In how many weeks will she be able to buy the tablet?
Answer:
600-275=325
325/40=8.125
Approximately she will buy the tablet in 9 weeks
Find the length of the line below.
Answer:
2.1cm
Step-by-step explanation:
the line is 2cm and 1mm