elements of {1,2,3,4,6,12} and {4,6,8,10}

A) The smallest possible n for which an (1,4,3)-code exists is n = 7. A code of length 7 is

1000001

1000010

1000100

1001000

1010000

1100000

B) the smallest possible n for an (1,4,3)-code is n = 2m - 1, where m is the number of errors that the code can correct.

The explanation for A) above is that the smallest possible n for an (1,4,3)-code is n = 7. This is because a (1,4,3)-code is a code that can correct up to two errors in a block of m bits.

To correct two errors, the code must have at least 3m bits. For m < 7, 3m < 21, which is not enough bits to encode the codewords. Therefore, no (1,4,3)-codes exist for all m < 7.

In general, the smallest possible n for an (1,4,3)-code is n = 2m - 1, where m is the number of errors that the code can correct.

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The predicted sale price of a house that is 2000 sq ft is $230,887. The simple linear regression analysis shows that there is a significant linear relationship between the sale price and the size of a house.

Simple linear regression analysis is a statistical tool that is used to study the relationship between two variables. It involves determining the equation of a straight line that best fits the data points on a scatter plot. This line is known as the regression line, and it is used to predict the value of the dependent variable (y) for a given value of the independent variable (x). In this case, we are interested in predicting the sale price (y) of a house based on its size (x).

The equation of the regression line is given by Price = 97996.5 + 66.445 size. Given a home size of 2000 square feet, we can use this equation to predict the sale price of the house. The predicted sale price is obtained by plugging in the value of 2000 square feet for size in the equation. This gives us:
Price = 97996.5 + 66.445 × 2000
Price = 97996.5 + 132890
Price = 230886.5

Therefore, the predicted sale price of a house that is 2000 sq ft is $230,887.

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Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: \((x + 7)^2 + (y - 10)^2 = 13^2\)

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

\((5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2\)

Option B (-7,-3)

When x=-7, y=-3

\((-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2\)

Option C (-6,-10)

When x=-6, y=-10

\((-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2\)

Option D (6,23)

When x=6, y=23

\((6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2\)

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

EXPLANATION

Let's see the facts:

Ipad pen cost = -$105

Best friend ----> +$12

---------------

-$93

Babysitting Saves +$20/week

We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:

$93 = 20 $/week * number of weeks

Calling x to the number of weeks and turning this into an inequality:

12 + 20x ≥ 105

Subtracting -12 to both sides:

20x ≥ 105-12

Simplifying:

20x ≥ 93

Dividing both sides by 20:

x ≥ 93/20

Simplifying:

x ≥ 4.65

Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.

Answer:

6

Step-by-step explanation:

There are 6 faces on a die so on average, one has to roll a fair die 6 times in order to get number 6 to show.

On average it's 6 as 6 sides a die has

But

i.e

There is 1/6 chances getting any number

The distribution of X₁ - 3X₂ is a normal distribution with mean μ₁ - 3μ₂ and variance s₁² + 9s²₂ - 6rhos₁s₂.

To find the distribution of X₁ - 3X₂, we need to find the mean and variance of this new variable.

The mean of X₁ - 3X₂ is:

E(X₁- 3X₂) = E(X₁) - 3E(X₂) = μ₁ - 3μ₂

The variance of X₁ - 3X₂ is:

Var(X₁ - 3X₂) = Var(X₁) + 9Var(X₂) - 6Cov(X₁,X₂)

Since X₁ and X₂ have a bivariate normal distribution with means μ₁ and μ₂, variances s₁ and s₂ and correlation rho, we know that:

Var(X₁) = s²₁

Var(X₂) = s²₂

Cov(X₁,X₂) = rhos₁ s₂

Substituting these values into the variance equation, we get:

Var(X₁ - 3X₂) = s₁² + 9s²₂ - 6rhos₁s₂.

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The value of h used to solve the equation by completing the square is 2.25.

To solve the equation x^2 + 3x - 9 = 0 using the method of completing the square, we add a constant term (h) to both sides of the equation to create a perfect square trinomial on the left side. The value of h that is used in this step depends on the coefficient of the x term (3).

To determine the value of h, we take half of the coefficient of the x term, square it, and add it to both sides of the equation. In this case, the coefficient of the x term is 3, so:

Step 1: x^2 + 3x + h = 9 + h

To find the value of h, we take half of 3, which is 3/2 or 1.5. We square 1.5 to get 2.25. So, the value of h used to solve the equation by completing the square is 2.25.

Please note that this is the value used in the specific step mentioned, and further steps may be required to complete the solution of the equation.

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Basketball competition refers to organized events or tournaments where teams compete against each other in the sport of basketball.  There are 6 6-player games (3 on 3) and 7 2-player games (1 on 1) played in the neighbourhood basketball competition.

Since all 50 athletes sign up for only one kind of game, we know that the total number of players participating in the competition is 50. Let's assume there are x 6-player games (3 on 3) and y 2-player games (1 on 1) in total.

In a 6-player game, there are 6 athletes playing. Therefore, the total number of athletes participating in 6-player games can be calculated as 6 * x.

In a 2-player game, there are 2 athletes playing. So, the total number of athletes participating in 2-player games can be calculated as 2 * y.

Since all 50 athletes participate, we can write the equation:

6 * x + 2 * y = 50

We are also given that the neighbourhood holds 13 total games. Therefore, the total number of games can be expressed as:

x + y = 13

We now have a system of equations:

6x + 2y = 50
x + y = 13

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method in this case.

Multiplying the second equation by 2, we get:

2x + 2y = 26

Subtracting this equation from the first equation, we can eliminate the y term:

(6x + 2y) - (2x + 2y) = 50 - 26
4x = 24

Dividing both sides of the equation by 4, we find:

x = 6

Substituting this value back into the second equation, we can find y:

6 + y = 13
y = 7

Therefore, there are 6 6-player games (3 on 3) and 7 2-player games (1 on 1) played in the neighborhood basketball competition.

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The volume of pentagonal prism B, the image, is 448 cubic in.

The volume of a prism is directly proportional to the cube of the scale factor. Therefore, if prism B is the image of prism A after dilation by a scale factor of 2, the volume of prism B will be 2³ = 8 times the volume of prism A.

Given that the volume of prism A is 56 in³. Then the volume of prism B is calculated as,

=> Volume of prism A × (Scale factor)³

=> 56 in³ × 8

=> 448 in³

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1, 2, 3, and 4 are the correct answers.

Based on the given options, the correct statements are:

1. Point a corresponds to the maximum value of the normal stress.

2. Both point a and point b correspond to a zero value of shearing stress.

3. Point b corresponds to the minimum value of the normal stress.

4. Both point d and point e correspond to a zero value of normal stress.

what is point?

A point is a fundamental concept in mathematics and geometry. It is a precise location in space, typically represented by a dot or a small symbol. In a two-dimensional plane, a point is identified by its coordinates, which specify its position along the x-axis and y-axis. For example, a point (3, 5) represents a location three units to the right and five units above the origin.

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Answer:3239

Step-by-step explanation:

answer:

3239

explanation:

Answer:

convert the l to volume Wich will give 7200 cm3 .

use the equation for volume which is V=L*B*H where you will replace B,L and leave out H since that's what we are looking for:

V=L*B*H

7200=50*20*H

7200=1000H

7200÷1000=H

therefore H of liquid is 7.2 cm ....to get the height from top subtract the height of liquid from that of a container which will give : 20-7.2= 12.8cm3

there the answer is 12.8

Hope this help you with this problem!

Answer:

\(a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)\)

Step-by-step explanation:

Work via factoring by groups:

!) re arrange the terms as follows:

\(a^2-5ab+3ab-15b^2\)

then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):

\(a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)\)

Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:

\(a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)\)

which is the final factorization.

Answer:

\( \boxed{\sf (a + 3b)(a - 5b)} \)

Step-by-step explanation:

\( \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)\)

Answer:

D

Step-by-step explanation:

By the Pythagorean theorem:

\(18^2+24^2=x^2\)

Therefore, answer choice D is correct. Hope this helps!

You should always measure your following distance in seconds. The correct answer for measuring following distance is A.  

It is important to keep a safe distance between vehicles on the road, which is known as following distance. Measuring following distance in seconds is a more reliable method than measuring it in car lengths or feet.

The recommended following distance is typically two to three seconds. This means that when the vehicle in front of you passes a fixed point on the road, you should not reach that same point before two to three seconds have elapsed.

Measuring in seconds is more effective as it takes into account the speed at which both vehicles are traveling. If you measure in car lengths or feet, it may not be accurate as the length of the cars may differ, and it does not account for the speed of the vehicles. By measuring in seconds, you can maintain a safe distance and reduce the risk of accidents or collisions.

The correct answer for measuring following distance is A.  

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Complete question is:

You should always measure your following distance in __________

A. seconds. B. car lengths. C. feet.

Answer:

Jody walks at a faster rate because it would take Amir 30 minutes to walk a mile and Jody approximately 26.6 minutes to walk a mile.

Step-by-step explanation:

given,

Amir walks = 1/2 miles in 15 min.

Jody walks = 2/3 miles in 20 minutes

write each rate,

1/2/15 , 2/3/20

so now,

calculate the fraction,

\( \frac{1}{2 \times 15} = \frac{1}{30} \\ \frac{2}{3 \times 20} = \frac{1}{3 \times 10} = \frac{1}{30} \)

so,

both walk at the same/equal rate.

hope this answer helps you dear!

Answer:

C.

Step-by-step explanation:

8 5/6 -2 = 6 5/6 BECAUSE YOU ARE JUST SUBTRACTING 2 WHOLES NOT AND FRACTIONS. IT GIVES YOU THE NASWE C. 6 5/6

Answer:

y=3

Step-by-step explanation:

y=mx+b where m = slope and b=y-intercept
slope: 0, y-intercept: 3

y=(0)x + 3

y=3

\(3\frac{3}{4}\) feet is 2.25 feet. 7.75 feet of plywood left out of 10 feet when \(3\frac{3}{4}\) feet of plywood is cut off.

\(3\frac{3}{4}\) feet is a mixed fraction, first we need to convert it into a fraction and then we need to find the point value of the number.

therefore \(3\frac{3}{4}\) feet = 3 x 3 / 4

= 3 x 0.75 = 2.25 feet

now we need to find the plywood left when \(3\frac{3}{4}\) feet is cut from 10 feet,

therefore, now that we know \(3\frac{3}{4}\) feet is 2.25 feet we can subtract it from 10 we get:

10 - 2.25 = 7.75

therefore, we know that there is 7.75 feet of plywood left out of 10 feet when \(3\frac{3}{4}\) feet of plywood is cut off.

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Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

ANSWER:

The value of x is equal to -8.49

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x:

The value of x is equal to -8.49

Answer:

Step-by-step explanation: No because

8 vanillla cupcakes will not be able to be used which will leave mor chocolate to be used

Answer:

8 + 8 + 8 =

Step-by-step explanation:

Thirds are when your timing a number three times.

The eight 3s means that the number 3 is repeated eight times.

A set of symbols and guidelines used to represent and work with numbers is known as a number system. The decimal system, which bases itself on the value of 10, is the most widely used number system.

It employs the symbols 0 through 9 to represent numbers. But, there are a lot more number systems that have been created over time and are still employed in a variety of mathematics, computer science, and engineering sectors.

Eight 3s typically means the number 3 is repeated eight times. In mathematical notation, it is often represented as:

33333333

Therefore, the eight 3s means that the number 3 is repeated eight times.

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The baseball field's fence, soil and sod requirements will be-: Length of fencing ≈ 1410.5 feet, Area of the sod ≈ 118017.13 ft², Area of of the field covered with dirt ≈ 7,049.6 ft²

To find the area of a sector of a circle:

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Circle's Area can be given by, (A)= π × r²

Circle's Circumference can be given by, (C) = 2 × π × r

Where, 'r' denotes the radius of the circle

The area of a quarter of a circle is therefore= A ÷ 4

The perimeter of a quarter of a circle = C ÷ 4

Taking reference from the image,

Fencing; (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

The fencing ≈ 1410.5 feet

Grass; π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

The area covered by the sod is about 118017.13 square feet

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

The area occupied by the dirt is about 7049.6 square feet

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Complete Question:Find the amount of fencing, dirt, and sod needed to rebuild the baseball field?(refer to image attached for dimensions of field)

Answer:

d=55h

Step-by-step explanation:

just write out the equation

Answer:

I would need to see the attached lesson to answer this question.