Determine if each of the following functions is homogenous: A) X^2 - 6xy + y^2. B) X^2 + 4y - y^2. C) sqrt( 7x^4 + 8xy^3). Enter (1) if homogeneous, or enter (0) if not homogeneous.

Answer: You will need 250 boxes of popcorn to meet your $300 goal.

Step-by-step explanation:

Answer:

5 boxes of popcorn makes 300 usd

Step-by-step explanation:

Answer:

55 ? i think

Step-by-step explanation:

i just had the same question

There are infinitely many integers in mathematics, while the number of integers of type int in C programming language depends on the specific implementation and platform being used.

Integers are a subset of real numbers that include all whole numbers (positive, negative, or zero) and their opposites. Since there are infinitely many whole numbers, there are also infinitely many integers.

In C programming language, the size of the int type is implementation-defined and can vary depending on the specific platform being used. However, the range of values that an int can represent is typically fixed and can be determined using the limits.h header file.

For example, on a typical 32-bit platform, an int can represent values from -2,147,483,648 to 2,147,483,647. Therefore, the number of integers of type int in C is limited by the size and range of the int type on the specific platform being used.

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Answer:

coordinate is 3rd or -;- coordinates

Answer:

1 . 24

2. 21

Step-by-step explanation:

1.

b=6

h=4

A= b*h

=6*4

=24

2. b=6

h= 7

A= 1/2*b*h

= 1/2*6*7

=21

Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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The square root of 9 is 78 less than 9 squared

The square root of 9 is calculated as

                     √9 = √(+ 3)² or√(- 3)²

                           = + 3 or - 3

Let's calculate the square of 9:

                      9² = 81

We need to calculate here, how much the square root of 9 is less than the square of 9 or we can say the difference between the square of 9 and the square root of 9. So, let's say that difference is denoted by d

                                 d = 9² - √9

When √9 = +3

                                 d = 81 - 3

                                 d = 78

When √9 = -3

                                 d = 81 - (-3)

                                 d = 81 + 3

                                 d = 84

Hence, the value of the difference between the square of 9 and the square root of 9 is 78 or 84.

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Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

Answer: x = 8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

10= -1/4x+12

move the 12 to the other side

10-12= -1/4x

-2= -1/4x

divide -1/4 by both sides

8=x

Given:

Kinetic energy (KE)= 100,000 J

Mass (m)= 800 kg

To find:

The velocity of the object to the nearest hundredth.

Solution:

We know that,

\(KE=\dfrac{1}{2}mv^2\)

where, KE is kinetic energy (in J), m is mass (in kg) and v is velocity (in m/s).

Put KE=100000 and m=800 in the above formula.

\(100000=\dfrac{1}{2}(800)v^2\)

\(100000=400v^2\)

Divide both sides by 400.

\(\dfrac{100000}{400}=v^2\)

\(250=v^2\)

Taking square root on both sides.

\(\sqrt{250}=v\)

\(v=15.8113883\)

\(v\approx 15.81\)

Therefore, the velocity of the object is 15.81 m/s.

Answer:

here is your aneswer

the answer. will be 40

The Laplace transform of e-iat hence show that the Laplace transformation of sin(at) = 24.2 and cos(at) = 2*22 + is  L(sin3t) = 0.0903 and L(cos3t) = 0.3364.

Given:

S_a = By integration, find the Laplace transform of e-iat hence show that the Laplace transformation of sin(at) = 24.2 and cos(at) = 2*22 +

We know that, Laplace transform of e-iat = 1 / (s + a)Laplace transformation of sin(at) = a / (s^2 + a^2)

Laplace transformation of

cos(at) = s / (s^2 + a^2)For sin(at), a = 1=>

Laplace transformation of sin(at) = 1 / (s^2 + 1)

Laplace transformation of

sin(at) = 24.2= 1 / (s^2 + 1)

= 24.2(s^2 + 1) = 1

= s^2 + 1 = 1 / 24.2= s^2 + 1 = 0.04132s^2

= -1 + 0.04132= s^2

= -0.9587s = ±√(0.9587) L(sin(3t))

= 3 / (s^2 + 9)= 3 / ((2.9680)^2 + 9)

= 0.0903L(cos(3t))

= s / (s^2 + 9)= (2.9680) / (8.8209)= 0.3364

Therefore, L(sin3t) = 0.0903 and L(cos3t) = 0.3364.

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Answer:  324 squared

Step-by-step explanation:

ok so you do 3 times 3 times 4 times 3 times 3

The system of linear equations has nontrivial solutions for any value a = 5/2.

The coefficient matrix for the system of linear equations can be written as:

A =

[2 -1 -1]

[-1 -1 0]

[3 4 a 0]

To find the value(s) of a which will result in a non-trivial solution, you need to calculate the determinant of the coefficient matrix. This can be done by expanding the determinant along the third row, which gives:

det(A) = 2(-1)(-a) + (-1)(4) + (-1)(3) = 2a - 5

The determinant of the matrix must be non-zero for the system to have at least one non-trivial solution. Setting det(A) = 0 gives the value a = 5/2. Therefore, the system of linear equations has nontrivial solutions for any value a = 5/2.

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Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

Step-by-step explanation

+ \ x -

a. The mean is -0.6, the median is 4, and there is no mode in the data set.

b. The range is 15, the variance is 35.2, the standard deviation is approximately 5.93, and the coefficient of variation is approximately -0.988.

c. The Z-scores for the data set are -0.68, -1.69, -0.68, -0.68, and 1.37. There are no outliers as none of the Z-scores exceed the threshold of ±3.

d. The shape of the data set is skewed to the left, indicating a negative skewness.

a. To calculate the mean, we sum up all the values and divide by the sample size:

Mean = (4 - 9 - 4 + 4 + 6) / 5 = -0.6

The median is the middle value when the data is arranged in ascending order:

Median = 4

The mode is the value that appears most frequently, but in this data set, none of the values are repeated, so there is no mode.

b. The range is calculated by finding the difference between the maximum and minimum values:

Range = Maximum value - Minimum value = 6 - (-9) = 15

The variance measures the average squared deviation from the mean:

Variance = ((4 - (-0.6))^2 + (-9 - (-0.6))^2 + (-4 - (-0.6))^2 + (4 - (-0.6))^2 + (6 - (-0.6))^2) / (5 - 1) = 35.2

The standard deviation is the square root of the variance:

Standard Deviation ≈ √35.2 ≈ 5.93

The coefficient of variation is the standard deviation divided by the mean, expressed as a percentage:

Coefficient of Variation ≈ (5.93 / 0.6) × 100 ≈ -0.988

c. The Z-score measures how many standard deviations a data point is away from the mean. To calculate the Z-scores, we subtract the mean from each data point and divide by the standard deviation:

Z1 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z2 = (-9 - (-0.6)) / 5.93 ≈ -1.69

Z3 = (-4 - (-0.6)) / 5.93 ≈ -0.68

Z4 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z5 = (6 - (-0.6)) / 5.93 ≈ 1.37

Since none of the Z-scores exceed the threshold of ±3, there are no outliers in the data set.

d. The shape of the data set can be determined by analyzing the skewness. A negative skewness indicates that the data is skewed to the left, which means that the tail of the distribution extends towards the lower values. In this case, the negative skewness suggests that the data set is skewed to the left.

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Answer:

x + 9

Step-by-step explanation:

Answer:

x+9

Step-by-step explanation:

x=a number

The sum of x and 9 is x+9

Answer:

C.  37.5

Step-by-step explanation:

From inspection of the given triangle, we can see that the straight line that divides the triangle into two smaller triangles is an angle bisector since it divides the angle into two congruent angles.

Angle Bisector Theorem

An angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

\(\implies x:15=40:16\)

Solve for x:

\(\implies \dfrac{x}{15}=\dfrac{40}{16}\)

\(\implies \dfrac{x}{15}=2.5\)

\(\implies x=2.5\times 15\)

\(\implies x=37.5\)

Answer:

It's option d (Line Segment TS)

Please mark as brainliest

Answer:

Line TS

Step-by-step explanation:

The required value of the angles x and y is 40° and 51°.

Given that,
The angle pair relationships in the diagram, To write and solve equations for x and y,

The equation is the relationship between variables and is represented as y =ax +b    is an example of a polynomial equation.

Here, two parallel lines intersected by a line,

Here,
by intersection through transversal line y  and 119° are two supplementary angles.
\The sum of the supplementary angle is 180,
119 + y = 180
y = 180 - 119
y = 51°

Now 5x +11 and y are corresponding angles for parallel lines,
y  = 5x + 11
51° = 5x + 11°
x = 40°

Thus, the required value of the x and y is 40° and 51°.

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(a) P(T<2.898) ≈ 0.990, (b) P(T>1.363) ≈ 0.100, and (c) P(-2.624 < T < -2.365) ≈ 0.015 when the corresponding degrees of freedom are given.

These probabilities were obtained by referencing the table of critical values of the t-distribution and calculating the desired values based on the given T-scores and degrees of freedom.

(a) To find P(T<2.898) when v=17, we can refer to the table of critical values of the t-distribution. Looking up the value 2.898 in the table with 17 degrees of freedom, we find the corresponding probability to be approximately 0.990.

(b) To find P(T>1.363) when v=11, we need to calculate the complement of the probability P(T<1.363). Using the table of critical values of the t-distribution with 11 degrees of freedom, we find the probability P(T<1.363) to be approximately 0.900. Therefore, the complement of this probability, P(T>1.363), is approximately 1 - 0.900 = 0.100.

(c) To find P(-2.624 < T < -2.365) when v=7, we can use the table of critical values of the t-distribution. Since the table provides critical values for positive T-scores, we need to find the probability P(T<-2.365) and subtract P(T<-2.624) to obtain the desired probability. For 7 degrees of freedom, we find P(T<-2.365) to be approximately 0.025 and P(T<-2.624) to be approximately 0.01. Therefore, P(-2.624 < T < -2.365) ≈ 0.025 - 0.01 = 0.015.

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Answer:

4 units pls mark me brainliest i really need it thanks

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Explanation:

In that list, the numbers 2,3,5 are prime. The value 1 is not prime.

The probability of picking a prime number in that list is 3/5 because we have three prime numbers out of five total.

After not putting that card back, we have 5-1 = 4 cards left. The probability of picking "1" is 1/4 since there's one card we want out of four cards left over.

Multiply the fractions mentioned:

(3/5)*(1/4) = (3*1)/(5*4) = 3/20

Answer:

4

Step-by-step explanation:

8.763 – 5.4

9 – 5 = 4

10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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