QUESTION 6
A(7,3) cyclic code, the g(x) =x4 +x3 +x2 +1.
1. Is the given matrix systematic form of generator matrix?
O True
O False
|1001110|
|0100111|
|0011101|

Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.

Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.

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Answer:

Step-by-step explanation:

To check, let's substitute the value of x into the equation.

Substituting value of x.

Solving.

Since 23 does not equal 17, the statement is false.

Answer:

No

Step-by-step explanation:

No, Because if you plug in 6 into the equation you'd get 23.

To solve this equation you must...

First, subtract 5 from both sides to get 3x=12

Then, divide 12 by 3 to get your answer x=4

You can check this by plugging this into the equation.

3*4=12+5= 17

So, the correct answer to this question would be X=4

Hope this helps!!

There are 35 possible designs for the printed circuit board with four different components placed on it, assuming each of the seven locations can hold only one component.

To calculate the number of possible designs for the printed circuit board with seven locations for component placement, we can use the combination formula.

The number of combinations of r items from a set of n items is given by the formula:

nCr = n!/r!(n-r)!

In this case, we want to find the number of combinations of four components from seven locations. Thus, we can calculate it as follows:

7C4 = 7!/4!(7-4)! = (7x6x5)/(3x2x1) = 35

Therefore, there are 35 possible designs for the printed circuit board with four different components placed on it, assuming each of the seven locations can hold only one component.

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The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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Answer:

50 ml of water should be added in the glass.

Step-by-step explanation:

Answer: C. 58 miles

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I know I'm smart

sike I'm autistic

Answer:36.33333333 but rounded it is basically 36

Step-by-step explanation:

what you have to do is 327 divided by 9 then you get your answer then round

The expected operational time of the machine is 6.75

For given x , y > 0 , the lifetime of the machine is max{x , y} because it stops when the two component will fail.

The life expectancy if therefore the expectancy of max{x, y}

t = E [ max{x,y} ]

So, the max{x , y} can be x or y

We have three integral

I₁ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{18-x}_{x} y \. dy\)

Solving the integration

=> I₁ =  729 / 162

=> 4.5

I₂ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{x}_{0} y \. dy\)

=> I₂ = 121.5/162

=> 0.75

=> I₃ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{18-x}_{x} x \. dy\)

=> I₃ = 243 / 162

=>  1.5

So . the total is 4.5 + 0.75 + 1.5

=>  6.75 is expected operational time

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The difference between the rate of change of the intervals: 1,2 and 2,4 is; 2

The average rate of change over the intervals (x₁, y₁) and (x₂, y₂) is given by the formula;

Average rate of change = (y₂ - y₁)/(x₂ - x₁)

Thus, the average rate of change between the intervals (1, 2) and (2, 4) is;

Average rate of change = (4 - 2)/(2 - 1)

Average rate of change = 2/1

Average rate of change = 2

That is the difference between the rate of change over the two given intervals.

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The exact values of sin θ/2 and tan θ/2 given below as:

Given that tan θ = -5/12 and θ lies between 90° and 180°, the values of sin θ/2 and tan θ/2 can be found as follows:

tan θ = -5/12

θ =  180 -tan⁻¹-(5/12)

θ = 157.38

sin θ/2  = sin 157.38/2

sin θ/2 = 0.9806

tan θ/2 = tan 157.38/2

tan θ/2 = 4.99

In conclusion, the values of the sine and tangent are found from the given values.

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Answer:

Step-by-step explanation: 645

Answer: C and E

Step-by-step explanation:

i took this on my quiz and got it right :)

Answer:

what is the question?

Answer to what?

Answer:

aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Step-by-step explanation:

A geometric sequence can be expressed recursively using the following general equation

aₙ = r . (aₙ₋₁), n ≥ 2
where
aₙ is the nth term
a₁ is the first term of the geometric sequence

r is the common ratio = aₙ/aₙ₋₁

Here we have the terms 3, 6, 12, 24, 48

The common ratio r = 6/3 = 12/6 = ....... = 48/24 = 2

The first term a₁ =  3

So the recursive relation is
aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10.5x - 1.9 = 19.1

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 19.1 does indeed equal 19.1.

∴ x = 2 is a solution to the equation.

We can calculate the experimental probability of selling a can of tomato soup, and then use that probability to predict the number of tomato soup cans sold in the next 20 cans.

Step 1: Calculate the experimental probability of selling a can of tomato soup.
Probability = (Number of tomato soup cans sold) / (Total number of cans sold)
Probability = 6 / 12 = 0.5

Step 2: Use the probability to predict the number of tomato soup cans sold in the next 20 cans.
Expected number of tomato soup cans = Probability × Total number of cans
Expected number of tomato soup cans = 0.5 × 20 = 10

Based on the experimental probability, you should expect 10 of the next 20 cans sold to be tomato soup.

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From the graph we notice that the lines are parallel. This means that the slopes of the lines representing the cost are the same. Since the slope represents the price per mile travel we conclude that:

The mileage at both companies is the same.

Therefore the answer is B

Answer:

i think 1.8 not sure tho

Answer:

Z-score Formula: z = (x - μ)/σ

Plug in: -0.5 = (x - 12.5)/1.8

Solve: -0.5 * 1.8 = x - 12.5

-0.9 = x - 12.5

-0.9 + 12.5

x = 11.6

Therefore, the height of a peach tree with a z-score of -0.5 is 11.6 feet.

Answer:

Step-by-step explanation:

What Is a Principal Amount?

Principal amount on a loan is the amount borrowed. To better understand, let's look at the story of John. When John bought his first car he didn't have enough money to pay for it in cash, so he had to take out a loan. He borrowed $7,500. According to the terms of the loan, John had to pay it off in five years with an interest rate of 10%. The initial amount that he borrowed, or the $7,500, is called the principal amount of the loan. Keep in mind that the principal amount applies to more than just loans. It can also apply to money that is invested or deposited into an account. For example, if you open a savings account with a $700 deposit, the principal amount is $700.

What About Interest?

Principal amount does not include interest, or a rate paid as a fee for borrowing money. To figure out the amount of interest John paid during the five years, you can use the simple interest formula, which is a formula to calculate interest paid only on the principal amount. This formula is:

or interest equals principal amount times interest rate times amount of time. Using this formula, you will find that the amount of interest on John's $7,500 loan was $3,750. So, at the end of five years, he would end up paying a total of $11,250. This does not include any additional fees that may apply.

Principal Amount Formulas

For John's loan, we were given the principal amount and used it to find the amount of interest. What if we already know the interest rate, amount of interest, and amount of time, but we need to find out the principal amount? We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.

Let's try this out by finding the principal amount of a loan that has a total interest amount of $18,500 and an annual interest rate of 6.5% over 12 years.

To solve, we input the values into the equation, P = I / (RT). This gives us:

P = $18,500 / (0.065 * 12) = $23,718

The principal amount of the loan is $23,718.

(hope this helps can i plz have brainlist :D hehe)

Given:

Present value = 150,000

Future value=223000

rate = 4.90% compunded quarterly.

To find the number of periods,

Answer: 32.6 years that means 32 years and 6 months.

Time lost due to compensation = 15% of the total time available in a shift

= 0.15 x 8 hours = 1.2

hours Substituting the given values, we get:Production capacity

= 626 / (6.8 hours) = 92.0588 ]

pieces/hourThe production capacity achieved by an operator with a performance rating leveling factor of 90%, who worked 6.95 hours in an 8-hour shift, for time lost at 15% compensation is approximately 92 pieces/hour.To find out the production capacity achieved by the operator, the time lost due to compensation must be taken into account.

An operator with a performance rating leveling factor of 90%, who worked 6.95 hours in an 8-hour shift, for time lost at 15% compensation can produce 320 pieces. The standardized time of operation is 18 seconds per unit.According to the information given,Total hours worked by an operator

= 6.95 hours (for time lost at 15%compensation)Total time available in an 8-hour shift

= 8 hours Standardized time for the operation

= 18 seconds per unit Performance rating leveling factor of an operator

= 90%Productivity can be determined by using the following formula:Productivity

= Total hours worked x Performance rating leveling factor / Total time available in a shift We have:Productivity

= 6.95 × 90 / 8 = 77.175%

We also have,Total pieces produced

= (Production rate × Operating time × Performance rating leveling factor) / Standardized time of operation Operating time of the operator

= Total hours worked x Performance rating leveling factor

= 6.95 x 0.9 = 6.255 hours

We have been given, Standardized time of operation is 18 seconds per unit Substituting the given values, we get:Total pieces produced

= (3600 / 18) x 6.255

= 800 x 0.78375

= 626.25

Total pieces produced with a round off to the nearest whole number

= 626

Now, we can get the production capacity achieved by an operator using the following formula:Production capacity

= Total pieces produced / Time lost due to compensation We have been given, Time lost due to compensation

= 15% of the total time available in a shift

= 0.15 x 8 hours = 1.2

hours Substituting the given values, we get:Production capacity

= 626 / (6.8 hours)

= 92.0588

pieces/hourThe production capacity achieved by an operator with a performance rating leveling factor of

90%,

who worked

6.95 hours in an 8-hour shift,

for time lost at 15% compensation is approximately

92 pieces/hour.

To find out the production capacity achieved by the operator, the time lost due to compensation must be taken into account.

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\(m = \frac{y2 - y1}{x2 - x1 } \\m = \frac{ - 6 - ( - 2)}{ - 9 - ( - 9)} \\ m = \frac{ - 6 + 2}{ - 9 + 9} \\ m = \frac{ - 4}{0} \)

Slope is undefined since there can't be zero in numerator

Please give brainliest

Answer:
It be undefined

Step-by-step explanation:

Since -9,-2) and (-9,-6) dose not = a number and dose not = 0 it be undefined

Answer:

Square numbers are numbers that have been multiplied by themselves.

So by direct evaluation we can see that the limit when x tends to 2 is equal to 1.

Here we want to get the limit:

\(\lim_{x \to \ 2} \frac{x^2 + 3x + 1}{x^3 + x + 1}\)

First, we can try to evaluate directly in x = 2 and see if it does not generate any problem, we will get:

\(\lim_{x \to \ 2} \frac{x^2 + 3x + 1}{x^3 + x + 1} = \frac{2^2 + 3*2 + 1}{2^3 + 2 + 1} = 1\)

So by direct evaluation we can see that the limit when x tends to 2 is equal to 1.

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An illustration of "Cluster sampling" is the practice of selecting a random sample of the city's gas stations, and then surveying every station's patrons.

As per the given question.

Thus, an implementation of "Cluster sampling" is the practice of randomizing sample of the city's gas stations, and thereafter surveying every station's patrons.

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The following transformation that will not prove to be isometric is the dilation. This is the one that will not prove isometric.

Dilation is not isometric because it will enlarge the graph, thus changes the image size.

Rotation, translation, and tesselation won't change the shape and size

a_{10} = \frac{177147}{65536} is solution of arithmetic progression (AP).

What is arithmetic progression (AP)  in math?

Write the general term through the pattern \(a_{n} = 36( \frac{3}{4} )^{n-1}\)

Substitute and calculate \(a_{10} = \frac{177147}{65536}\)

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Answer:

18x+30=12x-6

Step-by-step explanation:

all you do is distribute

Answer:

The first blank you would need to put "12", for the second one put a minus (-) sign, and for the third box put a "6".