Use Stokes' Theorem to evaluate J, I- dr where F = (x+72)1 + (5x +171 + (97-2)k and C is the curve of
intersection of the plane * + 4y + z = 8 with the coordinate planes.
(Assume that C is oriented counterclockwise as viewed from above.)

Answer:

It would be 6$ each person

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer:

Below

Step-by-step explanation:

The equation is x2 + bx + c

The coefficients are

● a = 1

● b

● c is the constant

The difference of the roots is | b - 2c |

Let s and p be the roots of the polynomial

● s - p = | b - 2c | (1)

● s + p = -b/a => s + p = -b (2)

(1) + (2)

● s - p + s + p = |b-2c| - b

● 2s = | b - 2c | - b

● 2s = b - 2c - b or 2s = 2c - b - b

● 2s = - 2c or 2s = 2c - 2b

● s = - c or s = c - b

We want to express b in term of c. So we will be intetsted in the 2nd equation

● s = c - b

● s - c = - b

● b = c - s

Answer:

a-x

b-/

Step-by-step explanation:

64/4x4=64

625x25/25=625

Answer:

where is the pic

Step-by-step explanation:

Answer:

6⁹

Step-by-step explanation:

HI there !

6⁵ ₓ 6⁴ = 6⁵⁺⁴ = 6⁹

Good luck !

To estimate the mean repair cost with a maximum error of $8, a sample size of approximately 97 is needed for a 95% confidence level and a sample size of approximately 109 is needed for a 90% confidence level, assuming a population standard deviation of $40.

(a) To estimate the sample size needed for a 95% confidence interval with a maximum error of $8, we can use the formula:

n = (Z * σ / E)^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (for 95% confidence, Z ≈ 1.96)

σ = standard deviation of the population ($40)

E = maximum error ($8)

Plugging in the values, we have:

n = (1.96 * 40 / 8)^2 = 9.8^2 ≈ 96.04

Therefore, a sample size of at least 97 would be needed to achieve a 95% confidence interval with a maximum error of $8.

(b) To estimate the sample size needed for a 90% confidence interval with a maximum error of $8, we use the same formula:

n = (Z * σ / E)^2

With Z ≈ 1.645 for a 90% confidence level, we have:

n = (1.645 * 40 / 8)^2 ≈ 10.43^2 ≈ 108.57

Therefore, a sample size of at least 109 would be needed to achieve a 90% confidence interval with a maximum error of $8.

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Answer:

Step-by-step explanation:

In conclusion, it can be argued that Abby Sunderland was too young to sail solo. Despite her ambitious and determined nature, her lack of experience and maturity put her at a significant risk during her solo sailing journey. The fact that she had to be rescued twice during her attempt highlights the dangers of attempting such a feat at such a young age. While it is admirable to have the courage to pursue one's dreams, it is important to consider the potential consequences and weigh them against the potential benefits. In this case, it can be argued that the risks far outweighed the potential rewards.

Answer:

x=22

Step-by-step explanation:

From the theorem of Z angles you can find that the sum of both given angles must equal 180.

So solve: 2x-26 + 7x+8 = 180

Simplify:

9x -18 = 180

9x = 198

x = 198/9 = 22

The probability of Maria succeeding is 0.2.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

P( E )   =   number of favourable outcomes / number of total outcomes  → 1

The results  from the 25 samples showing success in each of the 10 trial throws:

Maria succeeds fewer than 7 times i.e. 5 and 6 times for 0 + 5 = 5 outcomes.

The probability of Maria succeeding at fewer than 7 throws in a sample of 10 free throws,

Number of favourable outcomes   =   5        →   (i)

Number of total outcomes   =   25                →   (ii)

Substitute (i) and (ii) in 1,

P( E )   =   5 / 25

           =   1 / 5

P( E )    =   0.2

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The complete question is

Answer: 1/5

Step-by-step explanation: it it trust me

Answer:

6. M=10. And when you distribute the 2 to the terms in the parentheses it means you are multiplying the 2 by each term.

7. X=7

8. The answer is D

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer: D

Step-by-step explanation:

You could plug it in your calculator, just make sure your mode is in radians because there is a pi in your questions

Answer:

(f + g)(x) = 2x² - 3 + 7x + 11 + 4x² = 6x² + 7x + 8

(f - g)(x) = 2x² - 3 + 7x - 11 - 4x² = -2x² +7x - 14

Null hypothesis: There is no significant difference in the performance of the five sorghum cultivars under rainfed conditions.

Blocking: The blocking in this study was useful as indicated by the non-significant F-value for the blocks. It helps reduce the impact of potential confounding factors by creating homogeneous groups within the experiment.

Efficiency of experimental design: It cannot be determined from the given information whether another experimental design would have been more efficient.

Target population: The target population in this study is the set of all sorghum cultivars under rainfed conditions.

Null hypothesis: The null hypothesis for this study would state that there is no significant difference in the performance of the five sorghum cultivars under rainfed conditions. This means that the means of the treatments (sorghum cultivars) are equal.

Blocking: The blocks in the study were used to control for any potential variability among different locations or environmental conditions. By assigning each treatment randomly within each block, the effect of the blocking factor can be separated from the treatment effect. In this study, the non-significant F-value for the blocks suggests that the blocking was effective in reducing the impact of potential confounding factors.

Efficiency of experimental design: The given information does not provide enough details to determine whether another experimental design would have been more efficient. The choice of design depends on various factors such as the nature of the experiment, available resources, and specific objectives.

Target population: The target population in this study refers to the set of all sorghum cultivars under rainfed conditions. The study aims to draw conclusions about the performance of these cultivars in similar conditions.

Reason for blocking: Blocking may have been used in this study to account for spatial or environmental variation that could potentially affect the performance of the sorghum cultivars. By blocking, the experimenters aimed to create groups of experimental units that are similar within each block, reducing the variability caused by these factors and allowing for a more accurate assessment of the treatment effects.

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Answer:

Step-by-step explanation:

I don't know if it's correct

Answer:

yes it is parraell

Step-by-step explanation:

Answer:

(-2, -6)

Step-by-step explanation:

Given the simultaneous equation

3x-y=0 ... 1

2x+y=-10 ... 2

Add both equations to eliminate y

3x + 2x = 0 - 10

5x = -10

x = -10/5

x = -2

Substitute x = -2 into 1

3(-2)- y = 0

-6 - y = 0

-y = 0+ 6

-y = 6

y = -6

Hence the coordinate (x, y) is (-2, -6)

a) the minimum length bit string required to encode each character with a distinct, fixed-length code is 7 bits.

b) The resulting Huffman Tree is as follows:

     /\

 ((G, D), (B, U), E)

c) decoding the message M = 00101010000011 using the Huffman Tree gives the string "DUBEE".

What is string?

A string is a sequence of characters, such as letters, digits, symbols, or spaces, that are used to represent text. In programming languages, strings are often enclosed in quotation marks (e.g., "Hello, World!").

(a) To find the minimum length bit string required to encode each character with a distinct, fixed-length code, we need to determine the maximum number of bits needed to represent any character. We can do this by finding the character with the highest frequency and calculating the number of bits required based on that frequency.

In this case, the character with the highest frequency is 'E' with a frequency of 80. To represent 80 unique values, we need at least ⌈log₂80⌉ = 7 bits.

Therefore, the minimum length bit string required to encode each character with a distinct, fixed-length code is 7 bits.

(b) To construct the Huffman Tree, we start by creating individual trees for each character, with their respective frequencies as the weights. We then iteratively merge the two trees with the lowest frequencies until all the trees are combined into a single tree.

First, let's list the characters and their frequencies:

B: 55

D: 15

E: 80

G: 5

U: 45

Merge G and D (5 + 15 = 20):

Frequency: 20

Combined tree: (G, D)

Merge B and U (55 + 45 = 100):

Frequency: 100

Combined tree: (B, U)

Merge the combined tree from step 1 with the combined tree from step 2 (20 + 100 = 120):

Frequency: 120

Combined tree: ((G, D), (B, U))

Merge the combined tree from step 3 with E (120 + 80 = 200):

Frequency: 200

Combined tree: ((G, D), (B, U), E)

The resulting Huffman Tree is as follows:

     /\

 ((G, D), (B, U), E)

(c) To decode the message M = 00101010000011 using the Huffman Tree, we start from the root and follow the path based on the bits.

Starting from the root:

M[0] = 0 -> Go to the left child ((G, D))

M[1] = 0 -> Go to the left child (G)

M[2] = 1 -> Go to the right child (D)

At this point, we have decoded the first character as 'D'. We continue from the root for the remaining bits:

M[3] = 0 -> Go to the left child ((B, U))

M[4] = 1 -> Go to the right child (U)

M[5] = 0 -> Go to the left child (B)

M[6] = 1 -> Go to the right child (U)

We have decoded the second character as 'U'. Finally, for the last two bits:

M[7] = 1 -> Go to the right child (E)

M[8] = 1 -> Go to the right child (E)

The last character is 'E'.

Therefore, decoding the message M = 00101010000011 using the Huffman Tree gives the string "DUBEE".

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The least value that should be given to * so that the number 92*389 is divisible by 11 is 7.

To determine the least value that should be given to * so that the number 92*389 is divisible by 11, we can use the divisibility rule for 11.

The divisibility rule for 11 states that a number is divisible by 11 if the difference between the sum of its digits at even positions and the sum of its digits at odd positions is either 0 or a multiple of 11.

In the number 92*389, the sum of the digits at even positions (counting from the right) is 2 + 9 + 8 = 19, and the sum of the digits at odd positions is 3 + * + 9 = 12 + *.

For the number to be divisible by 11, the difference between the sums should be 0 or a multiple of 11. Therefore, we need to find the least value of * that makes the difference a multiple of 11.

19 - (12 + *) should be a multiple of 11.

To make the difference a multiple of 11, we need to find the smallest value of * that satisfies the equation:

19 - (12 + *) ≡ 0 (mod 11)

Simplifying the equation:

19 - 12 - * ≡ 0 (mod 11)

7 - * ≡ 0 (mod 11)

-* ≡ -7 (mod 11)

≡ 7 (mod 11)

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All the Options (1, 2, 3) are correct i.e., A is always similar to A. and  If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.

Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.

Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.

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Answer:

1. k=5

2. a= -7

3. n=4

4. n=1

5.x=0

6. r= -4

7. b=31

8.n= -3

Answer:

Step-by-step explanation:

7(c-13)

the product of 7, and, c-13

Answer: c7-7 13

13 is smaller and is right next to the 7

Step-by-step explanation:

7(c-13)

c7-7 13

The interest payment and the principal repayment for the first payment are:-

Interest: -$12,213.48

Principal repayment: $14,980

1. Calculation of annual loan payments:

Present value = $14,000

Number of periods = 6

Annual interest rate = 7%

Payment per period = ?

Formula for payment per period in amortized loan: PV = Pmt × [1 – (1 + r/100)-n]/(r/100)

Where, PV = Present Value

Pmt = Payment per period

r = Annual interest rate

n = Number of periods

On substituting the values, we get: $14,000 = Pmt × [1 – (1 + 7/100)-6]/(7/100)

Pmt = $2,766.52

Approximate answer: $2,766.522.

Calculation of interest and principal repayment for the first payment: Principal repayment for the first payment: Out of the total loan of $14,000, the first payment will be made after a year.

Hence, the present value of the loan will be equal to the future value of the principal repayment. The interest rate for one year is 7%, and hence future value of the principal is:$14,000 × (1 + 7/100) = $14,980

Interest payment for the first payment: The total payment for the first year is $2,766.52. Out of this amount, the principal repayment is $14,980 and the remaining amount is interest payable. Hence, interest payable for the first year = Total payment - Principal repayment = $2,766.52 - $14,980 = -$12,213.48 (negative value)

Therefore, the interest payment and the principal repayment for the first payment are:- Interest: -$12,213.48- Principal repayment: $14,980

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Answer:

just add lool

Step-by-step explanation:

The correct answer is "All of the above."is a factor that influences interval width.

All of the above factors can influence interval width in statistical analysis. The confidence level, sample size, and variation in the population (measured by its standard deviation) all have an impact on the width of the confidence interval.

Confidence Level: The confidence level determines the level of certainty or reliability desired in the estimation. A higher confidence level leads to wider intervals as it requires a greater margin of error.

Sample Size: Larger sample sizes generally result in narrower intervals because they provide more information about the population, reducing sampling variability.

Variation in the Population (Standard Deviation): Greater variation or dispersion in the population data leads to wider intervals as the uncertainty in estimating the true population parameter increases.

Therefore, the correct answer is "All of the above."

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