3² × 3 = 3² Find the value of x.​

Answer:

its the 2nd

Step-by-step explanation:

The graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given are the following inequalities -

x – 4y < 4

y < x + 1

We have the following inequalities -

x – 4y < 4

y < x + 1

Inequality [1]

x - 4y < 4

x - 4 < 4y

4y > x - 4

y > x/4 - 1

Inequality [2]

y < x + 1

Refer to the graph attached. The common region to both inequalities represents the solution.

Therefore, the graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.

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The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

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The experimental probability of winning a prize in the contest, based on the given information, is 5/52.

To calculate the experimental probability, we divide the number of favorable outcomes (winning caps) by the total number of possible outcomes (total number of bottles). In this case, out of the 52 bottles purchased, 5 of them have winning caps. Therefore, the number of favorable outcomes is 5, and the total number of possible outcomes is 52.

Hence, the experimental probability is given by:

Experimental Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Experimental Probability = 5/52

Therefore, the experimental probability of winning a prize in the contest is 5/52, which is the simplified fraction form of the answer.

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Answer:

it would be 17

Step-by-step explanation:

rounding just means adding 10

Step-by-step explanation:

sogzglzotsoypysotaota9t8ts

It would be 120 ye  f  = 8  E = 3 1/2  

Answer:

112 degrees

Step-by-step explanation:

All corresponding, or reflected angles are the same. the angles BAC & BDC should be the same.

Answer:

C. 56

Step-by-step explanation:

right on edge

To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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The exact area of each hexagonal shape is 181.5sqrt(3) cm^2. Option B

To determine the exact area of each hexagonal shape formed by the equilateral triangles, we need to calculate the area of one equilateral triangle and then multiply it by the number of triangles that make up the hexagon.

The formula to calculate the area of an equilateral triangle is:

Area = (sqrt(3) / 4) * side^2

Given that the side of each tile measures 11 cm, we can substitute this value into the formula to find the area of one equilateral triangle:

Area = (sqrt(3) / 4) * (11 cm)^2

= (sqrt(3) / 4) * 121 cm^2

= 121sqrt(3) / 4 cm^2

Now, since the hexagon is formed by six equilateral triangles, we can multiply the area of one triangle by 6 to find the total area of the hexagon:

Hexagon Area = 6 * (121sqrt(3) / 4 cm^2)

= 726sqrt(3) / 4 cm^2

= 181.5sqrt(3) cm^2

Therefore, the exact area of each hexagonal shape is 181.5sqrt(3) cm^2.

The correct answer is B: 181.5√3 cm^2.

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Answer:

infinite solutions

4x+ 12 - 4 = 4x + 8

4x + 8 = 4x + 8

Answer:

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

Given equation:

Substitute:

Then we have:

Substitute back:

Answer:

n is less than 9.

Answer:

x=30

Step-by-step explanation:

2x=y-x

3x=y

2y=180

y=90

x=30.

Answer:

A. x²/y³

Step-by-step explanation:

Given the following data;

Length = x³y⁴

Width = \( xy^{7}\)

Ratio = length/width

\( Ratio = \frac{x^{3}y^{4}}{xy{^7}}\)

Simplifying the equation by applying the law of indices (division), we have;

\(\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} \)

\(\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} \)

Hence, rearranging the above values;

\( Ratio = \frac{x^{2}}{y^{3}}\)

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

You get 105

Step-by-step explanation:

50 divided by 1/2? = 100

100 + 15 = 115

115 - 10 = 105

You get 105.

Hope this helps - any questions put in the comments section.

The score that should lead to a better grade can be identified by considering the z-scores. The z-score measures how many standard deviations a raw score is above or below the population mean. In this case, a higher z-score indicates a better grade.

To determine which score leads to a better grade, we calculate the z-score for each score using the formula: z = (X - M) / SD. Here's the calculation for each score:

For X = 70:

z = (70 - 92) / 8

z = -2.75

For X = 60:

z = (60 - 72) / 12

z = -1

Comparing the z-scores, we find that a score of X = 70 has a higher z-score (-2.75) than a score of X = 60 (-1). Therefore, the score of 70 should lead to a better grade than the score of 60.

In summary, the score with the higher z-score is the one that should lead to a better grade. In this case, a score of 70 has a higher z-score compared to a score of 60, indicating a better grade for the score of 70.

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If a number is not prime, it is referred to as a composite number. Any composite number can be expressed as a product of prime factors.

Prime factorization is the method of determining which prime numbers, when multiplied together, produce the original number. Prime factorization aids in a variety of mathematical operations such as finding common denominators, simplifying fractions, and determining greatest common factors. In this problem, we are to express 80 as a product of its prime factors. 80 can be expressed as the product of its prime factors in the following manner:2 × 2 × 2 × 2 × 5 = 80.The factors of 80 are 2, 4, 5, 8, 10, 16, 20, 40, and 80, which can all be determined by multiplying combinations of the prime factors 2 and 5. We can continue to divide by 2 to get prime factors of the number.80 ÷ 2 = 40, 40 ÷ 2 = 20, 20 ÷ 2 = 10, 10 ÷ 2 = 5, 5 ÷ 1 = 5So, we can write 80 as 2 x 2 x 2 x 2 x 5. Therefore, the prime factorization of 80 is 2 x 2 x 2 x 2 x 5. In ascending order, the prime factors of 80 are 2, 2, 2, 2, and 5.A prime number is a positive integer that has only two factors: 1 and itself.

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The statement that 0.007 is 10 times the value of 0.07 is incorrect. Instead, 0.007 is 1/10th or one-tenth the value of 0.07.

To understand this, let's examine the decimal places in each number. In 0.007, the number is in the thousandths place, which means it represents 7/1000. On the other hand, in 0.07, the number is in the hundredths place, representing 7/100.

To compare the two numbers, we can write them as fractions:

0.007 = 7/1000

0.07 = 7/100

Now, let's calculate the value of 0.007 compared to 0.07:

0.007 = (7/1000) / (7/100)

= (7/1000) * (100/7)

= 1/100

So, 0.007 is equal to 1/100 or 0.01, which is 1/10th or one-tenth the value of 0.07.

No, 0.007 is not 10 times the value of 0.07. In fact, 0.007 is 1/10th or one-tenth the value of 0.07.

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Andre needs to paint 75 square feet of cardboard.

The box has six faces, and Andre needs to paint all but the bottom one. To calculate the amount of cardboard he needs to paint, we need to find the area of the five faces that need to be painted and then add them up.

The front and back faces are each 5 feet tall and 2.5 feet wide, so their area is:

5 ft x 2.5 ft = 12.5 square feet

The two side faces are each 5 feet tall and 4 feet long, so their area is:

5 ft x 4 ft = 20 square feet

The top face is 2.5 feet wide and 4 feet long, so its area is:

2.5 ft x 4 ft = 10 square feet

Adding up the areas of the five faces, we get:

12.5 sq ft + 12.5 sq ft + 20 sq ft + 20 sq ft + 10 sq ft = 75 sq ft

Therefore, Andre needs to paint 75 square feet of cardboard.

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Answer:

Step-by-step explanation:

(6,-1) and (3,4)

Approximately 32% of students scored above 86 on the university exam.

To determine the percentage of students who score above 86, we can use the 68-95-99.7 rule, also known as the empirical rule or the three-sigma rule.

According to this rule, in a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Given that the mean is 78 and the standard deviation is 8, we can calculate the z-score for 86 using the formula:

z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (86 - 78) / 8 = 1

Since 86 is one standard deviation above the mean, we know that approximately 68% of students scored below 86. Therefore, the percentage of students who score above 86 can be estimated as 100% - 68% = 32%.

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Answer:

Step-by-step explanation:

the image of BC reflecting over FC is DC.

The angle between the vectors (u) and (v) is 90 degrees.

Here are the steps in more detail:

The dot product of (u) and (v) is:

u · v = (2)(-3) + (3)(2) + (1)(0) = -6 + 6 + 0 = 0

The magnitudes of (u) and (v) are:

|u| = √(2² + 3² + 1²) = √(4 + 9 + 1) = √14

|v| = √(-3² + 2² + 0²) = √(9 + 4 + 0) = √13

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Substituting the values into the formula to find the angle, we get: cos(θ) = 0

To find the angle (θ), we need to take the inverse cosine (arcos) of 0:

θ = arcos(0) = 90°

Therefore, the angle between the vectors (u) and (v) is 90 degrees.

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Answer:

m=4(subsitute m=4)

Step-by-step explanation:

Answer:

Для применения метода деления отрезка пополам нужно использовать тот факт, что функция x^3 + 2x + 4 непрерывна на всей числовой оси. Кроме того, нужно заметить, что функция монотонно возрастает на всей числовой оси, так как ее производная 3x^2 + 2 всегда положительна.

Начнем с интервала [a, b], где a = -2 и b = 0. Тогда значение функции в точке a равно -4, а значение функции в точке b равно 4. Значит, на этом интервале есть хотя бы один корень уравнения x^3 + 2x + 4 = 0.

Посередине интервала [a, b] находим точку c = (a + b) / 2 = -1. Значение функции в точке c равно 1, то есть на интервале [c, b] нет корней уравнения.

Затем выбираем интервал [a, c] и повторяем процесс. Находим точку d = (a + c) / 2 = -1.5. Значение функции в точке d равно -1.375, то есть на интервале [d, c] есть корень уравнения.

Продолжаем делить отрезки пополам и находить корни, пока не достигнем требуемой точности. Например, следующая точка будет e = (d + c) / 2 = -1.25. Значение функции в точке e равно 0.234375, то есть на интервале [e, c] есть корень уравнения.

Таким образом, метод деления отрезка пополам дает корень уравнения x^3 + 2x + 4 = 0 на интервале [-1.25, -1.125], который можно записать в виде x ≈ -1.1875 (с точностью до Ɛ=0,01).

Answer:

x = 17

Step-by-step explanation:

The two angles form a right angle ( indicated by the square )

Right angles have a measure of 90°

Thus, x + 73 = 90

90 - 73 = 17

Hence, x = 17

Answer:

A, E

Step-by-step explanation:

You have to look for the ordered pairs where x (the first digit) doesn't repeat. that's a + e