expression z divide by 5 then add 3

Answer:

55 games

Step-by-step explanation:

What we have to figure out is the total amount of games they played the whole year. We know they won 20% of their games, which equates to 11 games won in total. In order to find the total amount of games we will need to set up the equation \(g = 11/20\)%. We solve this accordingly: \(g = (11/20) *100\); \(g = (.55)*100\); \(g = 55\).

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

\( \frac{2}{3} \times 6 = 4\)

I think she can make 4 throw pillows if she should use 6 yards of fabric

i hope this helped

Given:

Hugo plans to buy packs of baseball cards until he gets the card of his favourite player.

He has enough money to buy at most 4 packs.

The probability of each pack containing the desired card is 0.2.

The probability distribution is,

X 1 2 3 4

P(X) 0.2 0.16 0.128 512

Required:

The probability that Hugo buys at most 3 packs of cards.

Explanation:

The probability that Hugo buys at most 3 packs of cards.

Final Answer:

The probability that Hugo buys at most 3 packs of cards is 0.488.

Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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Using the Associative Property of Multiplication, we can say that 6 x 3/4 = 4.5 or 13.5.

What is the associative property?

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

The Associative Property of Multiplication states that the grouping of factors in a multiplication problem does not change the product.

Therefore, we can group 6 and 3/4 in any way we want, and the product will remain the same. Let's group 6 and 3 first, and then multiply the result by 1/4:

(6 x 3) x 1/4

18 x 1/4

4.5

Alternatively, we can group 3 and 3/4 first, and then multiply the result by 6:

6 x (3/4 x 3)

6 x 9/4

54/4

13.5

hence, using the Associative Property of Multiplication, we can say that 6 x 3/4 = 4.5 or 13.5.

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Answer:

Step-by-step explanation:

Look at the graph to identify its domain and range.

Domain, the set of x-values, is between - 1 on the left and 5 on the right.

The - 1 is included as closed circle and the 5 is not included as open circle.

So the domain is:

The range, the set of y-values, is between - 3 on the bottom and 3 on the top.

The - 3 is included as point on the graph, the 3 is excluded as represented by an open circle.

So the range is:

a. There are 10 kg salt in the tank after t minutes

b.  After 30 minutes, the amount of salt in the tank is still 10 kg.

a) After t minutes, the amount of salt in the tank can be found by the formula:

Amount of salt = initial amount of salt + (rate of salt in - rate of salt out) x time

The initial amount of salt is 10 kg, and the rate of salt in is 0.01 kg/L x 15 L/min = 0.15 kg/min. The rate of salt out is also 0.01 kg/L x 15 L/min = 0.15 kg/min, because the solution is kept thoroughly mixed. Therefore, the amount of salt in the tank after t minutes is:

Amount of salt = 10 + (0.15 - 0.15) x t = 10 kg

b) After 30 minutes, the amount of salt in the tank is still 10 kg. This is because the rate of salt in and the rate of salt out are equal, and so the amount of salt in the tank remains constant. Therefore, the answer is the same as part (a), which is 10 kg

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Answer:

hi

Step-by-step explanation:

if usa it is George Washington

Answer:

Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.

If a coccus (a spherical bacteria) divides along two perpendicular planes and four cells remain attached together, it is called a tetrad. Therefore, the correct answer is A. tetrad.

A. Tetrad: A tetrad refers to a group of four cells resulting from the division of a single bacterium along two perpendicular planes. This arrangement forms a square or cube-like structure where the four cells remain attached together. Tetrads are commonly observed in certain bacteria, such as the genus Micrococcus.

B. Sarcina: Sarcina is a term used to describe a specific arrangement of cocci bacteria. In this arrangement, cocci divide along three perpendicular planes, resulting in packets of eight cells. Each packet resembles a cube-like structure composed of eight cells tightly attached together. Sarcinae are commonly observed in the genus Sarcina.

C. Staphylococcus: Staphylococcus refers to a genus of bacteria that are spherical (cocci) in shape. However, staphylococci typically divide randomly in multiple planes and form irregular clusters or grape-like arrangements rather than specific patterns like tetrads or sarcinae.

D. Streptococcus: Streptococcus is another genus of bacteria that are spherical (cocci) in shape. However, streptococci typically divide along a single axis and form chains or pairs rather than specific patterns like tetrads or sarcinae.

Considering the given scenario where a coccus divides along two perpendicular planes and four cells remain attached together, the correct term to describe this arrangement is A. tetrad.

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The term for a coccus bacterium dividing along two distinct perpendicular planes, resulting in four attached cells, is a 'tetrad'. This is different than 'sarcina', which is a genus of bacteria known for this behavior, and 'staphylococcus' and 'streptococcus', which are other forms of bacterial groupings.

When a coccus bacterium divides in two distinct perpendicular planes resulting in four cells that remain adhered together, it forms a particular structure called a tetrad. This pattern of cell division and grouping is characteristic of some gram-positive bacteria. However, it's important to differentiate here that 'tetrad' just refers to this particular grouping of four cocci bacteria, whereas Sarcina is a genus of bacteria that are known for grouping in this fashion. On the contrary, Staphylococcus and Streptococcus represent other forms of groupings - spherical bacteria arranged in irregular clusters or chains, respectively.

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The value of the missing angles are:

a) x = 71°

b) y = 48°

c) g = 48°

f = 132°

h = 48°

k = 132°

d = 80° = c

b = 100° = a

e = 52°

We know that alternate angles are defined as two angles that are formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines. If the two lines crossed are parallel, the alternate angles are equal.

a) Angle x is an alternate angle to 71°

Thus: x = 71°

b) Angle x is a corresponding angle to 132°.

Angle at a point is 180 degrees and as so:

y = 180 - 132

y = 48°

c) Angle g is an opposite angle to 48 degrees and as such:

g = 48°

Sum of angles on a straight angle is 180 degrees and as such:

f = 180 - 48

f = 132°

angle h is an alternate angle to 48 degrees and such:

h = 48°

k is a corresponding angle to f and as such k = 132°

d is an alternate angle to 80 degrees and as such:

d = 80° = c

Sum of angles in a straight line is 180 degrees and as such:

b = 180 - 80

b = 100° = a

e = 180 - (48 + 80)

e = 52°

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Answer:

b 1

Step-by-step explanation:

Answer:

The answer to this question is 1.5 cups per containers.

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

1+1=2 but  if it is 2+2 then it would = 4

Answer:

D, probably

Step-by-step explanation:

If we expect the pie chart to be angle-accurate, then Salary should be 90% of the full pie, so 90% of 360°

90% * 360° = 0.9 * 360° = 324°

The the two statements that are both true are:

9∣(27⋅115 36⋅257)

11∣(57⋅33 79⋅44)

In order to determine which two statements are both true, let's break down each option and evaluate them separately.

Option 1: 9∣(62⋅110 18⋅36)

Option 2: 11∣(23⋅72 33⋅44)

Option 3: 9∣(27⋅115 36⋅257)

Option 4: 11∣(23⋅72 33⋅44)

Option 5: 9∣(62⋅110 18⋅36)

Option 6: 11∣(57⋅33 79⋅44)

Option 7: 9∣(27⋅115 36⋅257)

Option 8: 11∣(57⋅33 79⋅44)

Let's evaluate each option step by step:

Option 1: 9∣(62⋅110 18⋅36)

To evaluate this option, we need to calculate the values inside the parentheses first:
62⋅110 = 6820
18⋅36 = 648

Therefore, the option becomes 9∣(6820 648).
Now, let's check if 9 divides both of these numbers evenly:
6820 ÷ 9 = 757 remainder 7
648 ÷ 9 = 72 remainder 0

Since both numbers have remainders when divided by 9, this option is not true.

Now, let's repeat the same evaluation process for the remaining options:

Option 2: 11∣(23⋅72 33⋅44)

23⋅72 = 1656
33⋅44 = 1452

11∣(1656 1452)
1656 ÷ 11 = 150 remainder 6
1452 ÷ 11 = 132 remainder 0

Since both numbers have remainders when divided by 11, this option is not true.

Option 3: 9∣(27⋅115 36⋅257)
27⋅115 = 3105
36⋅257 = 9252

9∣(3105 9252)
3105 ÷ 9 = 345 remainder 0
9252 ÷ 9 = 1028 remainder 0

Since both numbers divide evenly by 9, this option is true.

Option 4: 11∣(23⋅72 33⋅44)
(We have already evaluated this option in Option 2, and it was not true.)

Option 5: 9∣(62⋅110 18⋅36)
(We have already evaluated this option in Option 1, and it was not true.)

Option 6: 11∣(57⋅33 79⋅44)
57⋅33 = 1881
79⋅44 = 3476

11∣(1881 3476)
1881 ÷ 11 = 171 remainder 0
3476 ÷ 11 = 316 remainder 0

Since both numbers divide evenly by 11, this option is true.

Option 7: 9∣(27⋅115 36⋅257)
(We have already evaluated this option in Option 3, and it was true.)

Option 8: 11∣(57⋅33 79⋅44)
(We have already evaluated this option in Option 6, and it was true.)

From the evaluation, we find that options 3 and 6 are both true.

Therefore, the two statements that are both true are:
9∣(27⋅115 36⋅257)
11∣(57⋅33 79⋅44)

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Assuming the population standard deviation is known and the standard deviation of the sample mean x : option (b) is correct : the standard error of the sample mean decreases.

In probability theory, the central limit theorem (CLT) states that the distribution of a sample variable approximates a normal distribution (i.e., a “bell curve”) as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Standard deviation is a calculation of the dispersion or variation in a set of numbers. If the standard deviation is a small number, it means the data points are close to their average value. If the deviation is large, it means the numbers are spread out, further from the mean or average.

There are different ways to write out the steps of the population standard deviation calculation into an equation. A common equation is:

                          σ = ([Σ(x - u)2]/N)1/2

Where:

σ is the population standard deviation

Σ represents the sum or total from 1 to N

x is an individual value

u is the average of the population

N is the total number of the population

A sample mean is an average of a set of data . The sample mean can be used to calculate the central tendency, standard deviation and the variance of a data set. The sample mean can be applied to a variety of uses, including calculating population averages.

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answer for the first one

1) \(6 {y}^{2} - 24y\)

\( = > 6y(y - 4)\)

2) \(6pq - 4q + 6 - 9p\)

\( = > (6pq - 4q) + ( - 9p + 6)\)

\( = > [2q(3p - 2)] + [- 3( 3p - 2)] \)

\( = > 2q(3p - 2) - 3(3p - 2)\)

\( = > (3p - 2)(2q - 3)\)

3) \( {x}^{2} + 14xy + 49y\)

\( = > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2} \)

\( = > {(x + 7y)}^{2} \)

\( = > (x + 7y)(x + 7y)\)

4) \(25 {y}^{2} - 16\)

\( = > {(5y)}^{2} - {4}^{2} \)

\( = > (5y + 4)(5y - 4)\)

5) \(9 {x}^{2} - 30x + 25\)

\( = > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2} \)

\( = > {(3x - 5)}^{2} \)

\( = > (3x - 5)(3x - 5)\)

6) \( {p}^{2} + 2p - 15\)

\( = > {p}^{2} + 5p - 3p - 15\)

\( = > p(p + 5) - 3(p + 5)\)

\( = > (p + 5)(p - 3)\)

7) \( {y}^{2} + 8y + 12 = 0\)

\( = > {y}^{2} + 2y + 6y + 12\)

\( = > y(y + 2) + 6(y + 2)\)

\( = > (y + 2)(y + 6)\)

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

q = infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

8q + 12 = 4(3 + 2q)

Step 2: Solve for q

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

We see here that you can plug in any number q and it would render the equation true. You can also look at it as 2 linear lines that are same, and the same line has infinite amount of solutions.

Step 3: Check

Plug in q to verify it's a solution.

8(0) + 12 = 4(3 + 2(0))

0 + 12 = 4(3 + 0)

12 = 4(3)

12 = 12

8(1) + 12 = 4(3 + 2(1))

8 + 12 = 4(3 + 2)

20 = 4(5)

20 = 20

We also see in the check step that any value q works.

The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.

We have,

To solve for Q in the equation 8q + 12 = 4(3 + 2q), we can follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses:

8q + 12 = 4 * 3 + 4 * 2q

Simplifying further:

8q + 12 = 12 + 8q

Step 2: Combine like terms on both sides of the equation:

8q + 12 = 12 + 8q

Step 3: Subtract 8q from both sides of the equation to isolate the q term:

8q - 8q + 12 = 12 + 8q - 8q

Simplifying further:

12 = 12

Step 4: Since both sides of the equation are equal, the equation is true for all values of q.

This means the solution is all real numbers.

Therefore,

The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

16

Step-by-step explanation:

fifty-four minus thirty-eight equals 16

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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To make money, Jack needs to charge more than this amount per game. If each game costs a customer one quarter to play, then Jack will need to charge:
$0.46 ÷ $0.25 = 1.84 (rounded up to the nearest whole number). Therefore, Jack should charge at least two quarters per game to make money.

To determine the minimum quarters Jack should charge to make money, we need to calculate the probability of rolling three 6's on three fair dice. The probability of rolling a single 6 on a fair die is 1/6. Therefore, the probability of rolling three 6's on three fair dice is (1/6)^3, which simplifies to 1/216.

Next, we need to determine the expected payout for Jack. If the payout for rolling three 6's is $100, then the expected payout for a single game is:

(1/216) x $100 = $0.46 (rounded to the nearest cent)

This means that for every game played, Jack can expect to pay out an average of $0.46. To make money, Jack needs to charge more than this amount per game. If each game costs a customer one quarter to play, then Jack will need to charge:

$0.46 ÷ $0.25 = 1.84 (rounded up to the nearest whole number)

Therefore, Jack should charge at least two quarters per game to make money.

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Answer:

(-4,-3)

Step-by-step explanation:

its this one because its in the wuation

EXPLANATION:

To solve the exercise we must make a rule of three.

The exercise is as follows:

(a) The path integral is 2/3 (exp(1) - 1).

(b) The path integral is 108 sqrt(26).

(a) In order to evaluate the path integral for the first case, we first need to parameterize the curve C. Since the curve is given in terms of x, y, and z, we can parameterize it by setting x=4, y=1, and z=t^2, so that the curve becomes:

C: t -> (4, 1, t^2), t ∈ [0, 1]

Now we can evaluate the path integral using the formula:

∫_C f(x, y, z) ds = ∫_a^b f(x(t), y(t), z(t)) ||r'(t)|| dt

where r(t) = (x(t), y(t), z(t)) is the parameterization of the curve C, and ||r'(t)|| is the magnitude of its derivative. In this case, we have:

r(t) = (4, 1, t^2)

r'(t) = (0, 0, 2t)

||r'(t)|| = 2t

So the path integral becomes:

∫_C f(x, y, z) ds = ∫_0^1 exp(Squareroot t^2) 2t dt

We can simplify this expression using the substitution u = t^2, du = 2t dt:

∫_C f(x, y, z) ds = ∫_0^1 exp(Squareroot t^2) 2t dt = ∫_0^1 exp(u^(1/2)) du

Now we can evaluate the integral using integration by substitution:

∫_C f(x, y, z) ds = [2/3 exp(u^(3/2))]_0^1 = 2/3 (exp(1) - 1)

So the final answer for the path integral is 2/3 (exp(1) - 1).

(b) In this case, the curve C is given by:

C: t -> (t, 3t, 4t), t ∈ [1, 3]

To evaluate the path integral, we use the same formula as before:

∫_C f(x, y, z) ds = ∫_a^b f(x(t), y(t), z(t)) ||r'(t)|| dt

where r(t) = (x(t), y(t), z(t)) is the parameterization of the curve C, and ||r'(t)|| is the magnitude of its derivative. In this case, we have:

r(t) = (t, 3t, 4t)

r'(t) = (1, 3, 4)

||r'(t)|| = sqrt(1^2 + 3^2 + 4^2) = sqrt(26)

So the path integral becomes:

∫_C f(x, y, z) ds = ∫_1^3 (3t)(4t) sqrt(26) dt = 12 sqrt(26) ∫_1^3 t^2 dt

We can evaluate the integral using the power rule:

∫_C f(x, y, z) ds = 12 sqrt(26) [(1/3) t^3]_1^3 = 108 sqrt(26)

So the final answer for the path integral is 108 sqrt(26).

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