There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at 2$ each while the other two sold the melons at 2 for 5$. find the total amount of money collected fro. the sales of all melons.​

Answer:

Quadrant 1, I think.

Step-by-step explanation:

The Jacobian matrix for the given transformation is:

Jacobian = | 6v 6u | = | 9 -1 |

The Jacobian of the transformation for the given equations is a 2x2 matrix that represents the partial derivatives of the new variables (x and y) with respect to the original variables (u and v). In this case, the Jacobian matrix will have the following form:

Jacobian = | ∂x/∂u ∂x/∂v |

| ∂y/∂u ∂y/∂v |

To find the Jacobian, we need to calculate the partial derivatives of x and y with respect to u and v, respectively.

In the given transformation, x = 6u v and y = 9u - v. Taking the partial derivatives, we have:

∂x/∂u = 6v (partial derivative of x with respect to u)

∂x/∂v = 6u (partial derivative of x with respect to v)

∂y/∂u = 9 (partial derivative of y with respect to u)

∂y/∂v = -1 (partial derivative of y with respect to v)

Plugging these values into the Jacobian matrix, we obtain:

Jacobian = | 6v 6u | = | 9 -1 |

So, the Jacobian matrix for the given transformation is:

Jacobian = | 6v 6u | = | 9 -1 |

This matrix represents the rate of change of the new variables (x and y) with respect to the original variables (u and v). The elements of the Jacobian matrix can be used to compute various quantities, such as gradients, determinants, and transformations in multivariable calculus and differential geometry.

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Answer:

Center (-13 , -2); Radius = 9

Step-by-step explanation:

The series ∑n=1 to [infinity] (−1)ⁿ⁻¹* (n¹/²)/(n+9) converges by the alternating series test.

This test applies when a series alternates in sign and the absolute values of its terms form a decreasing sequence. In this case, the absolute values of the terms decrease as n increases, and the alternating sign ensures that the series oscillates between upper and lower bounds.

Additionally, the limit of the absolute value of the terms approaches zero as n approaches infinity, satisfying the third condition of the test. Therefore, the series converges.

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Answer:

Bisexual is when you like boys and girls and pansexual is when you like non-binary, boys, girls, and gender fluid

Step-by-step explanation:

Answer:

true///its just that pans are into all genders while bi are into  the 2 main gender spectrum

if that makes sense

Step-by-step explanation:

Answer:

Step-by-step explanation:                   A figure of toroidal shape.

When he is 9 feet from the light, the guy is moving at a speed of 2.08 feet per second, and his shadow on the building is getting smaller at a speed of 2 feet per second.

Here we have to find,

How fast the man is walking when he is 9 feet from the light and his shadow on the building is shrinking at a rate of 2 feet per second.

In this case,

The height of the building is unknown, but we can use the height of the man (6 ft) to find the height of the building relative to the light.

Say that height "h".

Using the Pythagorean theorem, we know that,

⇒h² + 15² = (h+6)²

Expanding the square on the right side of the equation, we get,

⇒h² + 225 = h² + 12h + 36

Simplifying, we get:

⇒12h = 189

⇒h = 15.75 ft

Now, let the distance between the man and the light "x" (in feet).

We know that the ratio between the height of the man and the height of the building is the same as the ratio between the distances of their respective shadows on the ground.

Therefore,

⇒ 6/x = (15.75)/ (x + 15)

If we cross-multiply and simplify, we ge,

⇒ 15.75x = 6(x + 15)

⇒ 15.75x = 6x + 90

⇒   9.75x = 90

⇒           x = 9.23 ft

Now, we can use the same idea to find the rate at which the height of the man's shadow on the building is changing.

Let that rate "dx/dt" (in feet per second).

We know that,

⇒ 6/x = (h - 0)/(h + 15)

If we differentiate both sides with respect to time, we get,

⇒-6/x² dx/dt = 15/(h + 15)² dh/dt

Substituting the values we found earlier, we get,

⇒ -6/(9.23)² dx/dt = 15/(15.75 + 15)² dh/dt

Simplifying, we get:

⇒ dx/dt = -2.08 ft/s

Therefore, the man is walking at a rate of 2.08 feet per second when he is 9 feet from the light and his shadow on the building is shrinking at a rate of 2 feet per second.

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The measure of one interior angle of the decagon is 144 degrees

From the question, we have the following parameters that can be used in our computation:

The decagon

The sum of interior angles of a polygon is calculated as

Sum = 180 * (n - 2)

Where

n = number of sides

In a decagon, we have

n = 10

This means that

Sum = 180 * (10 - 2)

When evaluated, we have

Sum = 1440

The measure of one interior angle of the decagon is then calculated as

One interior angle = 1440/10

Evaluate

One interior angle = 144

Hence, the measure of one interior angle of the decagon is 144 degrees

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a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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The outcomes contained in one or the other of two random events, or possibly in both, make up the union of two events.

In probability theory, the union of two events refers to the set of outcomes that are present in either one or both of the events. It represents the combination of all possible outcomes from the individual events.

For example, let's consider two events A and B. The union of these events, denoted as A ∪ B, includes all the outcomes that belong to event A, event B, or both. It represents the combined set of outcomes from the two events.

Mathematically, the union of two events is defined as:

A ∪ B = {x | x ∈ A or x ∈ B}

So, when we talk about the outcomes contained in one or the other of two random events, or possibly in both, we are referring to the union of those events. The union captures all the possible outcomes that can occur in either event or in both events simultaneously.

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Answer:

As follows,

Step-by-step explanation:

1

3x^2y^-1

3x^2/y

2

∛2x^5y^3

2^(1/3)x^(5/3)y^(3/3)

2^(1/3)x^(5/3)y

3

5^(4/4)x^(1/4)y^(3/4)

∜5^4xy^3

Answer:

2.5

Step-by-step explanation:

45/18 = 2.5

35/24 = 2.5

40/16 = 2.5

:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula \(\displaystyle nCr=\frac{n!}{r!(n-r)!}\) which describes the number of ways we can choose \(r\) objects given \(n\) possible choices. So, if \(n=7\) and \(r=4\), then:

\(_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35\)

Hence, the teacher can make 35 different geometry quizzes.

Answer:

4 6/10+ 6 8/10= 11 4/10

Step-by-step explanation:

The 4+6=10, and 6/10+8/10=14/10 which converts to 1 4/10. 10+1 4/10= 11 4/10

Answer:

11 and 4/10

Step-by-step explanation:

Hope this helps!

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

The set {p1, p2, p3} is linearly independent in P2.

To determine whether the set {p1, p2, p3} is linearly independent in P2, we need to check if the only solution to the equation a1p1 + a2p2 + a3p3 = 0, where a1, a2, and a3 are scalars, is a1 = a2 = a3 = 0. In this case, P2 represents the vector space of polynomials of degree at most 2.

Let's assume that a1p1 + a2p2 + a3p3 = 0, where a1, a2, and a3 are scalars. We can write this equation as:

(2a1 + 4a2 + a3) + (a1 + 3a2 + 2a3)x + (3a1 + 2a2 + 3a3)x^2 + (4a1 + a2 + 4a3)x^3 = 0

For this equation to hold true for all values of x, the coefficients of each term on the left side of the equation must be zero. Equating the coefficients, we have the following system of equations:

2a1 + 4a2 + a3 = 0

a1 + 3a2 + 2a3 = 0

3a1 + 2a2 + 3a3 = 0

4a1 + a2 + 4a3 = 0

Solving this system of equations, we find that the only solution is a1 = a2 = a3 = 0. Therefore, the set {p1, p2, p3} is linearly independent in P2.

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The inflection point of g(x) = 9|x| is x = 0.

First, let's find the first derivative of g(x):

g'(x) = 9 |x| + 9x * d/dx(|x|)

g'(x) = 9 |x| + 9x * sign(x)

where sign(x) is the sign function, which equals -1 for x < 0, 0 for x = 0, and 1 for x > 0.

Now, let's find the second derivative of g(x):

g''(x) = 9 * d/dx(|x|) + 9 * sign(x) + 9x * d/dx(sign(x))

g''(x) = 0 + 9 * sign(x) + 9x * d/dx(sign(x))

The derivative of the sign function is not defined at x = 0, but we can use the definition of the derivative to find the left and right limits of g''(x) as x approaches 0:

g''(0-) = lim x→0- [g''(x)]

g''(0-) = lim x→0- [9 * (-1) + 9x * (-∞)]

g''(0-) = -∞

g''(0+) = lim x→0+ [g''(x)]

g''(0+) = lim x→0+ [9 * (1) + 9x * (∞)]

g''(0+) = ∞

Since the left and right limits of g''(x) as x approaches 0 are not equal, g''(0) does not exist, and g(x) does not have an inflection point. Instead, the function changes concavity at x = 0, which is a vertical point of inflection.

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Matrix is\(a = [2512-60-29]\). Now, we need to find c, d, and c−1 such that a=cdc−1. For this, we can use the concept of matrix multiplication.

In order to multiply two matrices A and B, the number of columns in A must be equal to the number of rows in B.

Therefore, we can separate the matrix a into two matrices c and d such that \(a=cdc-1\) as follows: \(c = [ 2 1 - 1 2 ] , d = [ 5 0 0 -3 ]\)  and \(c^-1 = [ 2 1 1 2 ]\) .

To find c, d, and c−1 such that a=cdc−1, we can use the concept of matrix multiplication. In order to multiply two matrices A and B, the number of columns in A must be equal to the number of rows in B.

Therefore, we can separate the matrix a into two matrices c and d such that a=cdc−1 as follows: \(c = [ 2 1 -1 2 ]\), \(d = [ 5 0 0 - 3 ]\)  and \(c-1 = [ 2 1 1 2 ]\).

Thus, we can say that \(a = [2512-60-29]\)can be separated into \(c = [ 2 1 - 1 2 ] , d = [ 5 0 0 - 3 ]\)  and\(c-1 = [ 2 1 1 2 ]\) by using the matrix multiplication property. Therefore, the solution is obtained.

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A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

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The possible two-course meals that could be ordered assuming diners must order one meal from each category are;

It follows from the task content that the categories are as indicated below;

Starters Mains

Garlic Bread

Prawns Soup

Chicken Risotto

The condition that diners must order one meal from each category simply leaves the diners with;

Consequently, the expected number of possible two-course meal combination is; 3 × 3 = 9.

Ultimately, the possible two-course meals that could be ordered assuming diners must order one meal from each category are as listed above.

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Answer:

16x - 5

Step-by-step explanation:

2(x-3) + 2(7x+1) since there are 4 sides, 2 which have the same dimensions

2x - 6 + 14x + 1 = 16x - 5

The simplified expression of the perimeter of the rectangle should be 16x - 4.

Given that

We know that

The perimeter of the rectangle be

= 2(length + breadth)

= 2(x - 3 + 7x +1)

= 2x - 6 + 14x + 2

= 16x - 4

Therefore we can conclude that the simplified expression of the perimeter of the rectangle should be 16x - 4.

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Yes, the columns of exra5 do form a basis for r4. A basis is a set of linearly independent vectors that span a vector space, and in this case the vector space is R4. The four columns of exra5 are linearly independent, and they span the entire R4 space, so they form a basis for R4.

Yes, the columns of exra5 do form a basis for r4. A basis is a set of linearly independent vectors that span a vector space, and in this case the vector space is R4. The columns of exra5 must be linearly independent, which means that no linear combination of them can equal the zero vector. Furthermore, the columns of exra5 must span the entire R4 space, meaning that any vector in R4 can be expressed as a linear combination of the columns of exra5. This is equivalent to saying that the columns of exra5 can be used to generate the entire vector space R4. If these two conditions are met, then the columns of exra5 form a basis for R4. In this case, both conditions are met, so the columns of exra5 do form a basis for R4. Moreover, since there are four columns, the basis for R4 is called a basis of size four. The special property of a basis of size four is that it is the smallest possible basis for R4, meaning that no other set of vectors can form a basis for R4 with fewer than four vectors.

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Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

Answer:

1. Mean merit for girls = 3.08

2. Mean merit for boys = 3.03

3. The girls did better.

Step-by-step explanation:

The following data were obtained from the question:

Marit >>> Girls >>> Boys

0 >>>>>> 5 >>>>>>> 4

1 >>>>>> 6 >>>>>>> 6

2 >>>>>> 11 >>>>>> 11

3 >>>>>> 15 >>>>>> 13

4 >>>>>> 14 >>>>>> 13

5 >>>>>> 13 >>>>>> 9

6 >>>>>> 1 >>>>>>> 2

1. Determination of the mean number of merit for girls.

Summation of merit of girls (ΣMG) = (0×5) + (1×6) + (2×11) + (3×15) + (4×14) + (5×13) + (6×1)

= 0 + 6 + 22 + 45 + 56 + 65 + 6

= 200

Summation of girls (ΣG) = 5 + 6 + 11 + 15 + 14 + 13 + 1

= 65

Mean merit for girls =?

Mean = ΣMG / ΣG

Mean = 200 / 65

Mean merit for girls = 3.08

2. Determination of the mean number of merit for boys.

Summation of merit of boys (ΣMB) = (0×4) + (1×6) + (2×11) + (3×13) + (4×13) + (5×9) + (6×2)

= 0 + 6 + 22 + 39 + 52 + 45 + 12

= 176

Summation of boys (ΣB) = 4 + 6 + 11 + 13 + 13 + 9 + 2

= 58

Mean merit for boys =?

Mean = ΣMB / ΣB

Mean = 176 / 58

Mean merit for boys = 3.03

3. Determination of who did better.

Mean merit for girls = 3.08

Mean merit for boys = 3.03

We can see from the data above that the mean merit for girls (i.e 3.08) is greater than that of boys (i.e 3.03). Therefore, the girls did better than the boys

Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

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Answer:

x^4  ⋅ (x−5)⋅(3x+4)

Step-by-step explanation:

Answer:

322x

Step-by-step explanation:

if you do 3·3·3·3·3·3 you would get 729

then you would do 11·11·11·11·11 you would get 161051

finally you would do 20·20·20·20 to get 160000

finally you would subtract all those together to get 322 then you would just add the x to get the final answer of 322x