1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
torisob [31]
3 years ago
11

How many bit strings of length 12 are palindromes and contain 10 as sub string

Mathematics
1 answer:
andre [41]3 years ago
4 0
There are as many palindromic 12-bit binary strings as there are permutations with repetition of 6-bit binary strings, which is equal to 2^6=64.

There are also only two permutations with repetition of 6-bit binary strings, that when each of them is mirrored and the result is "glued" to the right side of the original string, will give a palindromic string without 10 as a substring.
Those strings are 000000 and 111111.

Therefore there are 64-2=62 palindromic 12-bit binary strings with 10 as substring.
You might be interested in
Rice weighing 3 3/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?​
IRINA_888 [86]

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

4 0
2 years ago
Read 2 more answers
Two sisters drive 144 miles on a camping trip they averaged at least 32 miles per gallon on the trio describe the number of gall
LUCKY_DIMON [66]
X in less than or equal to 4.5. it is this because 32 is the least number of miles per gallon. 144/32=4.5.
8 0
2 years ago
Which of the following fractions is greater than -4/5 but less than -3/4
choli [55]

Answer:

B. -19/25

Step-by-step explanation:

You are looking for an answer that is greater than -4/5 (which is equal to -0.80) but less than -3/4 (which is equal to -0.75). So, you can easily convert the fractions to decimals by dividing.

-33/50 = -0.66, which is greater than -0.75, so it can be eliminated.

-19/25 = -0.76, which fits our parameters, so it is the answer.

-19/20 = -0.95, which is less than -0.80, so it can be eliminated.

-7/10 = -0.70, which is greater than -0.75, so it can be eliminated.

7 0
3 years ago
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.
noname [10]

Answer:

Width = 4ft

Height = 4ft

Length = 8ft

Step-by-step explanation:

Given

Volume = 128ft^3

L = 2W

Base\ Cost = \$9/ft^2

Sides\ Cost = \$6/ft^2

Required

The dimension that minimizes the cost

The volume is:

Volume = LWH

This gives:

128 = LWH

Substitute L = 2W

128 = 2W * WH

128 = 2W^2H

Make H the subject

H = \frac{128}{2W^2}

H = \frac{64}{W^2}

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

A = LW + 2(WH + LH)

The cost is:

Cost = 9 * LW + 6 * 2(WH + LH)

Cost = 9 * LW + 12(WH + LH)

Cost = 9 * LW + 12H(W + L)

Substitute: H = \frac{64}{W^2} and L = 2W

Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)

Cost =18W^2 +  \frac{768}{W^2}*3W

Cost =18W^2 +  \frac{2304}{W}

To minimize the cost, we differentiate

C' =2*18W +  -1 * 2304W^{-2}

Then set to 0

2*18W +  -1 * 2304W^{-2} =0

36W - 2304W^{-2} =0

Rewrite as:

36W = 2304W^{-2}

Divide both sides by W

36 = 2304W^{-3}

Rewrite as:

36 = \frac{2304}{W^3}

Solve for W^3

W^3 = \frac{2304}{36}

W^3 = 64

Take cube roots

W = 4

Recall that:

L = 2W

L = 2 * 4

L = 8

H = \frac{64}{W^2}

H = \frac{64}{4^2}

H = \frac{64}{16}

H = 4

Hence, the dimension that minimizes the cost is:

Width = 4ft

Height = 4ft

Length = 8ft

8 0
2 years ago
b) Construct a perpendicular line through a point on the given line using the construction tool. Insert a screenshot of the cons
san4es73 [151]

Answer:

Thats the answer

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Find the GCF of -10c2d and 15cd2.
    13·1 answer
  • Which correlation is most likely a causation?
    6·2 answers
  • How do I solve ln(x) + ln(5) = 2 ?
    11·1 answer
  • S=a+(n-1)d,solve for d​
    14·1 answer
  • 6 (2+g) =24 help me please
    6·2 answers
  • What is the equation graph below?
    15·1 answer
  • This question difficult and i need some help would anyone please help me
    15·2 answers
  • Hi!!!<br>Calcula los divisores de cada número :<br>8, 12 ,24 , 25 , 28, <br>please . _ .​
    12·1 answer
  • What is the value of w?
    11·2 answers
  • A closed container has 7.05 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10-24 grams. Which of the following shows
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!