Identify the coefficients in the expression . Check all that apply
3a-6b + 11

A . 3
B . 6
C . -6
D . 11
E. -11

Answers

Answer 1

Answer:

A and C

Step-by-step explanation:

Because coeficcients are numbers that come before a variable


Related Questions

need help asappppppp ​

Answers

Answer:

for what

Step-by-step explanation:

Still stuck on this problem, due today, I have the main idea but still can't get the right answer.

There are more than 1/4 million species of beetle. Assume the average length of a beetle is 1 cm and the average walking speed is 10 cm per second. These beetles walk up a gang-plank that is 5 meters long onto an ark. They do this in pairs, side by side, one male and one female from each species. The pairs of beetles are spaced so there is a gap of 7 cm between species. How many hours will it take for all 1/4 million species of beetles to embark onto the ark once the first pair starts up the gangplank?

Answers

Answer:

  55.56925 hours

Step-by-step explanation:

You want to know how long it would take 1/4 million species of beetle to embark an ark up a 5 m gangplank if each beetle is 1 cm long, they are separated by 7 cm, and they move at 10 cm/s.

Distance

The last beetle must cover a distance that is the 500 cm gangplank plus the total length of beetle and separation distance of the 249,999 beetles in front of it, plus its own length.

  (1/4 million -1)×(1 +7 cm) +1 cm = 2,000,493 cm

Time

The time required is the distance divided by the speed:

  (2000493 cm)/(10 cm/s) = 200049.3 s

There are 3600 seconds in an hour, so this is ...

  200049.3 s/(3600 s/h) = 55.56925 h

The 1/4 million species can be loaded in 55.56925 hours.

__

Additional comment

The time is converted to hours : minutes : seconds by recognizing there are 60 minutes in an hour, and 60 seconds in a minute. That time is ...

  55 hours 34 minutes 9.3 seconds

Still stuck on this problem, due today, I have the main idea but still can't get the right answer. There

It will take 27.8 hours for all beetles to embark onto the ark.

What is speed ?

Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

There are 1/4 million beetles

= 250,000 beetles

they move side by side in pairs

250,000 /2 = 125,000 pairs form a line.

Length of each beetle 1 cm

space of 7cm between them

total distance = 8cm.

125,000 form a line

so total length = 125,000 * 8 = 1000,000 cm is the length of the line.

the length of the plank = 500 cm

so the distance covered = 1000,000+500 = 1000,500 meters

distance = 1000,500 cm

speed = 10 cm/s

Time = distance / speed

Time = 1000,500/10

Time = 100050 seconds

        = 100050/3600 hours

        = 27.8 hours

Hence, all 1/4 million species will take 27.8 hours to embark onto the ark.

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(take π =22/7). capacity of a solid cylinder with height 5cm and diameter of 6cm.​

Answers

Step-by-step explanation:

πr^2h

22/7×3×3×5

141.428

c) The group is planning to build a fence around the garden. How many yards of
fencing materials do they need for the fence? Show your work. (3 points-2 points for
finding the value of side b and 1 point for finding the perimeter of the garden)
I

Answers

Based on the information, it should be noted that the perimeter that they need is 130 yds to build up the fence.

How to explain the value

Attached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary.

On the same fashion, the diagonal of the spinach-celery sector is 10. Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by

outter fence (70)+

fence spinach-watermelon (8) +

fence red peppers-watermelon(12)+

fence red peppers-carrots (15)+

fence carrots-tomatoes (9)+

fence celery-tomatoes(6) +

fence spinach-celery(10)

= 130 yds

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c) The group is planning to build a fence around the garden. How many yards offencing materials do they

SOMEONE PLS HELP ME. ASAP PLSSS

SOMEONE PLS HELP ME. ASAP PLSSS

Answers

The formula that can be used to find the area of the figure shaded green is 9² - 4². The correct option is c 9² - 4²

Calculating area of a square

From the question, we are to determine the formula that could be used to find area of the figure shaded green

From the formula for calculating area of a square

A = s²

Where A is area

and s is the side length

Then, the area of the bigger square will be

A = 9²

NOTE: Side length of the bigger square is 9m

Then,

For the smaller square, which is not shaded green

A = 4²

NOTE: Side length of the smaller square is 4m

Area of the figure shaded green = 9² - 4²

Hence, the formula that can be used to find the area of the figure shaded green is 9² - 4². The correct option is c 9² - 4²

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1 The table below shows the cost of an attorney as a function of the number o
hours worked.
A C=355h
3 C= _—_h+355°
Number of
Hours, h
1
255
4
7
8
Based on the table, which function models this situation?
Total Cost, C
с
$355
$1120
$1885
$2140
D
C=255h+100
C=765h-410

Answers

All three data points are compatible with this set of equations, leading us to the conclusion that C = -195h + 550 is the function that best describes the scenario.

What does a function look like in math?

A function connects an input with an output. It works like a machine that has an input and an output. The traditional manner of writing a function is "f(x) = 5".

The following function represents this circumstance:

C = -195h + 550

The first two data points can be used to create two equations:

355 = -195(1) + C

1120 = -195(3) + C

When we solve for C in each equation, we obtain:

C = 550

C = 550 + 585 = 1135

We can try utilising the first and third data points as the second equation doesn't quite match the third data point:

355 = -195(1) + C

1885 = -195(4) + C

Solving for C in each equation, we get:

C = 550

C = 550 + 975

= 1525

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Parallelogram EFGH, E(-1,5), F(2,8), G(4,4), and H(1,1). Find the perimeter and area of the parallelogram. Round to the tenths place

Answers

The requried, perimeter and area of the parallelogram are 18.4 centimeters and 18 square centimeters respectively.

To find the perimeter of parallelogram EFGH, we need to find the length of all four sides and add them up. The distance formula is used to find the length of each side:

EF = √((2-(-1))² + (8-5)²) = √(3² + 3²) = √(18)

FG =√(20)

GH = √(18)

HE = √(20)

Therefore, the perimeter is:

Perimeter = EF + FG + GH + HE = √(18) + √(20) + √(18) + √(20) ≈ 18.4

Similarly,
The area of the parallelogram is given as,
= 18 square centimeters

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A triangle has sides with lengths of 6 yards, 10 yards, and 12 yards. Is it a right triangle?
yes
no
Submit

Answers

I believe yes is the answer

What is a simplified form of the expression 7x – 5(x + 1)?

Answers

Answer:2.5

Step-by-step explanation:

2x-5 - answer

i hope this helps

Ms. Paron sells fruits in the market. Banana costs 25 pesos per kilo-gram and grapes costs 180 pesos per kilogram. A customer bought 5.25 kilos of banana and 3.75 kilograms of grapes. How much will the customer pay?​

Answers

Answer:

806.25

Step-by-step explanation:

Banana cost = 25 pesos per kg

Banana bought = 5.25 kg

25 x 5.25 = 131.25 pesos

Grape cost = 180 pesos per kg

Grape bought = 3.75

180 x 3.75 = 675 pesos

131.25 + 675 = 806.25 pesos

Answer:

806,25

Step-by-step explanation:

First you need to find the total amount of pesos that you'll need to pay if you buy 5.25 kilos

so:

25 · 5.25 = 131,25

Then, you need to fin the total amount of pesos that you'll need to pay if you buy 3.75 kilos of grapes

180 · 3.75 = 675

Then just add them

675 + 131,25 = 806,25

A marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677).
Which one of the following conclusions is valid?
A. We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.
B. 90% of the sample said they spent between $217 and $677 at sporting events last year.
C. No conclusion can be drawn.
*We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. - Incorrect. The student's sample is not representative of all the students at the university (it is not a random sample of all university students). He surveyed people at a football game, which might mean that they tend to spend more money on sporting events than other students.

Answers

The valid conclusion is  A. We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.

The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.

Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.

Hence ,we can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.

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Amanda is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with special wallpaper. If she has a total of of wallpaper, how many boxes can she cover?

Answers

The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).

Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.

She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.

Mathematical Solution:

Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:

n × Surface Area = W.

Substituting the value of the Surface Area, we have:

n × (2lw + 2lh + 2wh) = W

2n(lw + lh + wh) = W

n(lw + lh + wh) = W/2

n = W/2(lw + lh + wh).

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Evaluate the expression when b = -3/8 and y=-4/7 (b+1/4y write your answer in the simplest form)

Answers

Answer:

=-3/8-7/16

Step-by-step explanation:

If b=-3/8

y=-4/7

Then b+1/4y= - 3/8 +1/4*(-4/7)= - 3/8 +1/(-16/7) =

=-3/8-7/16

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twhat is the sum of 4/6 and 4/9 what is the sum of 4/6 and 4/9 ​

Answers

Answer: 10/9

Step-by-step explanation:

divide 4/6 by 2 = 2/3 and then multiply 2/3 by 3 to get 6/9 then add

6/9 + 4/9 = 10/9

Answer:

3 is the answer

Step-by-step explanation:

a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6

no of times:. 12. 16. 25. 18. 15. 14

what is the probability of getting
1?
2?
3?
4?
5?
6?​

Answers

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Write a fraction that is equivalent 3/4 to .

Answers

Answer:

6/8  OR 9/12

Step-by-step explanation:

3/4 is equivalent to 21/28

a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!​

Answers

The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.

Upon unscrambling, we can find several possible words:

1. Sixty

2. Zesty

3. Skit

4. Site

5. Size

6. Exit

7. Yeti

8. Kits

9. Kite

10. Ties

These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.

Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.

Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.

So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

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The distance dd is 11 mm. What is the perimeter of the figure? Round to the nearest tenth.

The distance dd is 11 mm. What is the perimeter of the figure? Round to the nearest tenth.

Answers

Answer:

P = 157.1 mm

Step-by-step explanation:

The perimeter of the figure = Circumference of circle + perimeter of square

We have, d = 11

⇒ Radius = 11 mm

Side of square = 22 cm

So,

\(P=2\pi \times 11+4\times 22\\\\P=157.11\ mm\\\\or\\\\P=157.1\ mm\)

So, the perimeter of the figure is equal to 157.1 mm.

What is the cardinality of
the set A={a,e,i,o,u}

Answers

Answer:

n(A) = 5

Step-by-step explanation:

The cardinality of a set is the total number of elements in the set

Given the set

A = {a,e,i,o,u}

The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5

A rare increased in value 260% over the past 64 years. This was in increase of $300.l What was the value of the vase 65 years ago? What is the value of the vase now?

Answers

The value of the vase 65 years ago was $115.38

The value of the vase now is $415.38.

What is the value of the vase?

Percentage is a measure of frequency. Percentage is the fraction of an amount that is expressed as a number out of 100. The sign that is used to represent percentage is %.

The equation that can be used to represent the increase in the value of the vase is:

Increase in the value of the vase = percentage increase x value of the vase 65 years ago

300 = 2.6v

In order to determine the value of v, divide both sides of the equation by 2.65.

v = 300 / 2.60

v = $115.38

Value of the vase now = value of the vase 65 years ago + increase

$115.38 + $300 = $415.38

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A social agency is charged with providing services to three types of clients: A, B, and C.
A total of 500 clients can be served. There is a total budget of $300,000 available for
counseling and $200,000 available for food and shelter. Type A clients require an average
of $400 for counseling and $600 for food and shelter. Type B clients require $1000 for
counseling and $400 for food and shelter. Type C clients require $600 for counseling and
$200 for food and shelter. How many of each type of client can be served?
a) Write the system of equations for this information.
b) Write the augmented matrix for this information.
c) Solve using the Gauss-Jordan Elimination method. Label each answer.

Answers

Answer:

charged with providing of three types of clients

Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?

Answers

Let's analyze each scenario:

1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?

In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.

2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?

In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.

3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?

In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.

4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?

In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.

I hope this clarifies the nature of each event. Let me know if you have any further questions!

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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if the simple interest on 3,000 for 10 years is 1,500 then what is the interest rate?

Answers

Answer:

5%

Step-by-step explanation:

Interest = deposit * annual rate * years

 1500   = 3000 * rate * 10 yrs

1500/(3000*10)  = rate in decimal form = .05   = 5 %

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.
What is the value of y when x = 28?

Answers

The value of y when x = 28 in the proportional relationship is 112.

How to find the value of y in the proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent.

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.

Therefore, let's find the constant of proportionality.

y = kx

14  = 3.5k

divide both sides by 3.5

k = 14 / 3.5

k = 4

Let's find the value of y when x = 28.

Hence,

y = 4x

y = 4 × 28

Therefore,

y = 112

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The space shuttle carries c pounds of cargo, and each piece of cargo weighs 162.68 pounds. Which of the following expressions represents the number of pieces of cargo?

Answers

The expression which represents the number of pieces of cargo is c/162.68 = x, where c is the weight of the cargo in pounds, and x is the number of pieces of cargo.

Given that the space shuttle carries c pounds of cargo, and each piece of cargo weighs 162.68 pounds. We have to determine which of the following expressions represents the number of pieces of cargo.

Let's assume that the number of pieces of cargo be x.

Therefore, the weight of x pieces of cargo will be 162.68x = weight of cargo. The expression which represents the number of pieces of cargo can be written as: c/162.68 = x

This is because the total weight of the cargo is c pounds, and we know that each piece weighs 162.68 pounds.

Therefore, to find the number of pieces, we can divide the total weight by the weight of each piece, which gives us the expression c/162.68 = x, where x is the number of pieces of cargo.

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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx

Answers

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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In the quadrilateral,all the sides are equal,but diagonals are not equal is called?

Answers

Answer:

I think it would be a rhombus.

Pls help me cri I'm almost done and it's 2 am

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Answer:

Huh? what do you mean?

Step-by-step explanation:

what is 1,256 rounded to the nearest hundredth

Answers

Answer:

1,300

Step-by-step explanation:

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300.

Answer: 1300

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300

Step-by-step explanation:

If this net were to be folded into a cube, which number would be opposite of the number 1?

If this net were to be folded into a cube, which number would be opposite of the number 1?

Answers

Answer: 6

Step-by-step explanation:

When the given net is folded into a cube, the number that we will find opposite 1 is 4.

What number will be opposite 1?

When the net is folded, two will be folded left and up with 4 being the base. 3 will be folded right with 1 being the top of the cube.

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The best way to know this is by simply cutting a paper similar to the shape of the net above and numbering them as required.

We will then observe the following pairs opposite each other:

5 and 2.

4 and 1.

3 and 6.

This means that the number that we will see opposite 1 will be the number 4.

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