Find the number of bit strings that satisfies the given conditions. The bit strings of length 11 having at least four 1s

Answer:

Las dimensiones del rectángulo son:

lado corto: 5 cm

lado largo: 8 cm

Step-by-step explanation:

Consideraciones:

El perímetro de un rectángulo se calcula así:

p = 2(lado corto + lado largo)

El área de un rectángulo se calcula así:

a = lado largo * lado largo

Planteamiento:

26 = 2(a+b)

40 = a*b

a = lado largo

b = lado corto

Desarrollo:

de la primer ecuación del planteamiento:

26/2 = a+b

13 = a+b

13-a = b

sustituyendo este último valor en la segunda formula del planteamiento:

40 = a(13-a)

40 = 13*a + a*-a

40 = 13a - a²

-a² + 13a - 40 = 0

a = {-13±√((13²)-(4*-1*-40))} / (2*-1)

a = {-13±√(169-160)} / -2

a = {-13±√9} / -2

a = {-13±3} / -2

a₁ = {-13-3} / -2 = -16 / -2 = 8

a₂ = {-13+3{ / -2 = -10 / -2 = 5

Friend, the answer is: x= 21/11, y=17/11

Answer:

C

Step-by-step explanation:

it makes sense yah?

Answer:

C) Three fourths of the fish he caught were less than 50.5 pounds

We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.

So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).

Note that position is represented only with distance units, like km.

And to get a velocity you use the units km/h  (that tell you how many kilometers your position changes in one hour).

Similarly, the rate of change of the velocity will be (velocity)/time.

(km/h)/h = km/h²

Which is kilometers per hour squared.

If you want to learn more about acceleration, you can read:

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Answer:

33:50

Step-by-step explanation:

if there are 50 donuts that gives you 1 part of your answer. Then you have 33 donuts frosted there the other part. Glad I can help

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

Answer:

(16+25)×47

Step-by-step explanation:

..........

Answer:

8 potatoes for $2.56 is the better deal.

Step-by-step explanation:

unit price formula; cost ÷ quantity

2.56 ÷ 8 = $0.32

4.32 ÷ 10 = 0.432

round to the nearest hundredth

= $0.43

compare the answers

Answe 42.2

Step-by-step explanation:

The other vender because he got 42.2 dollar other got 20.48

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

28+29 = 57

=======================================================

Explanation:

n = first number

n+1 = second number

Add up those two items and set the result equal to 57. Solve for n.

first+second = 57

(n) + (n+1) = 57

2n+1 = 57

2n = 57-1

2n = 56

n = 56/2

n = 28

n+1 = 28+1 = 29

The two consecutive whole numbers are 28 and 29

28+29 = 57

Answer:

28 and 29

Step-by-step explanation:

Given values:

1st number = n

2nd number = n+1

n + n + 1 = 57

2n + 1 = 57

2n = 56

n = 28

n+1 = 29

Answer: 28 and 29

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer: [tex]1.50x+3.50\leq 30[/tex]

Step-by-step explanation:

x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars

Answer:

The answer is 1

Step-by-step explanation:

1² = 1×1

= 1

2 - 1² = 2 - 1

= 1

Answer:

w < 5/8

Step-by-step explanation:

Answer: I would need a picture of the possible graphs.

Answer:

Here is what I think the answer is.

n+2n+8 = 5n-10

3n+8 = 5n-10

    -8         -8

3n = 5n-18

-5n  -5n

-2n = -18

----      -----

-2         -2

n = 9

Step-by-step explanation:

It would be 8 + 2 = 10 - 5n I think.

The binomial theorem says

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n[/tex]

where

[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]

is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:

1

1   1

1   2   1

1   3   3   1

1   4   6   4   1

where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,

[tex]\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}[/tex]

[tex]\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b[/tex]

[tex]\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2[/tex]

Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be

1   1 + 4   4 + 6   6 + 4   4 + 1   1

or

1   5   10   10   5   1

which is to say,

[tex]\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5[/tex]

In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2[/tex]

[tex]\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2[/tex]

[tex]\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}[/tex]

Answer:

549440

Step-by-step explanation:

777^2 = 603729

223^2 = 54289

603729 - 54289 = 549440

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Learn more about equation here:

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Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B

Answer:

Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.

Step-by-step explanation:

Answer:

The answer will be 144

Step-by-step explanation:

So first you going to do is solve 3^2 and that will give you 9.

Then you multiply 12*9 and that will give you 108 then you add 36 and that will give you 144.

Answer:

144

Step-by-step explanation:

To solve this expression, use PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Follow this order to solve any type of expression with no variables.

The first applicable step of PEMDAS is exponents. So, do 3^2.

Next, multiply 12 x 9

Finally, add the last terms

So, the final answer is 144.

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

Answer:

1

Step-by-step explanation:

5(x+1) = 12

5(x+1) = 5x + 12

5(x+1) = 5x + 5

5(x=1) = 0

what one is an infinite solution

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.