Which number is closest to ✓66?

Answer:

Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.

Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.

Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.

Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.

Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:

-2| 1  2  -4  8

   ↓

   1

Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:

-2| 1  2  -4  8

       -2

   1

Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:

-2| 1  2  -4  8

       -2

   1   0

Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:

-2| 1  2  -4  8

       -2  0  

   1  

Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:

-2| 1  2  -4  8

       -2   0  

   1   0   -4

Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

   x2   + 0x    - 4    R 16

x2 - 4 R16

Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).

Step-by-step explanation:

That was quite long, but those are the steps to synthetically divide polynomials.

Answer:

Trevor is just under halfway through his homework

Step-by-step explanation:

The following information is given in the question

Trevor has completed 5 of his 12 homework problems

So here the total number of homework is 12

And, out of them trevor has completed 5

So if we do the half of 12 than it would come 6

This means that trevor just under halfway the homeowrk

Therefore the last option is correct

Answer:

Answer: 5.64 centimeters more rain fell in Dubaku's town than in Elliot's town. Step-by-step explanation: Amount of rainfall in Dubaku's hometown is 8 centimeters, amount of rainfall in Elliot's hometown is 2.36 centimeters and the amount of rainfall in Alperen's hometown is 15.19 centimeters.

Step-by-step explanation:

The minimum sample size required to construct a 90 percent confidence interval on the mean with a total length of 2.0 in a completely randomized design is 14.

To calculate the minimum sample size required, we need to use the formula:

n = ((Z * σ) / E)^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (90% confidence level corresponds to Z = 1.645)

σ = known standard deviation of the population (given as 2)

E = maximum error or half the total length of the confidence interval (given as 2.0 / 2 = 1.0)

Plugging in the values:

n = ((1.645 * 2) / 1.0)^2 = 14.335

Since we can't have a fraction of a participant, we round up to the nearest whole number, resulting in a minimum sample size of 14.

The current sample size of 20 participants exceeds the minimum required sample size of 14. Therefore, the current sample size is sufficient for constructing a 90 percent confidence interval with a total length of 2.0 in a completely randomized design.

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The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:

First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.

Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.

Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.

Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:

(4/6) * (4/6) = 16/36

To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):

16/36 = 4/9

So, the probability of drawing 2 green balls simultaneously is 4/9.

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There is no data on how effective an additional hour of swimming is in comparison to an additional hour of bicycling or running. Therefore, you are unsure about Caroline's motivation for investing additional time in swimming.

Every decision entails opportunity costs. The time Caroline could have spent bicycling or jogging is lost if she chooses to swim. In other words, Kyoko must give up the highest-valued alternative in order to spend an additional hour swimming, whether it be an hour of bicycling or an hour of jogging.

There is no data on how effective an additional hour of swimming is in comparison to an additional hour of bicycling or running. Therefore, you are unsure about Caroline's motivation for investing additional time in swimming. You also don't know if Caroline should devote the same amount of time to each of the three activities in order to maximize efficiency.

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Answer:

13/25

Step-by-step explanation:

Probability cougar will be unmarked :

⇒ Number of unmarked cougars / Total cougars

⇒ 865 - 173 / 865

⇒ 692/865

⇒ 4/5

============================================================

Probability bear will be unmarked :

⇒ Number of unmarked bears / Total bears

⇒ 1,940 - 679 / 1,940

⇒ 1,261/1,940

⇒ 13/20

===========================================================

Probability both will be unmarked :

⇒ 4/5 × 13/20

⇒ 52/100

⇒ 13/25

Answer:

13/25

Step-by-step explanation:

yw shawt ;)

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

4 i think

Step-by-step explanation:

Answer:

1.Cause it can΅not have any thing that goes into it.

2.No because 1 and 0 is not prime nor composite

Step-by-step explanation:

Take as if these points are on a line segment Ab

Dab = square root of ( xa - xb )^2 + ( ya - yb)^2

square root of (0 - 12 ) ^2 + (10 - 1 )^2

square root of (-12)^2 + (9)^2

square root of 144 + 81

square root of 225

15 unit

Step-by-step explanation:

Since the sequence is linear, we start by finding the difference between any term and the following one:

16 - 12 = 4

Now we multiply the difference by n:

4n

Since 4n for the first number in the list is 8 too low, we calibrate the equation accordingly:

4n + 8

We can check this against any number in the sequence and it will give the same value, so we have out answer.

This is the same process used to work out any nth term which is linear.

nth term = 12 + 4(n-1)

Simplifying further:

nth term = 12 + 4n - 4

Combining like terms:

nth term = 4n + 8

Hence, the expression for the nth term of the sequence 12, 16, 20, 24, 28 is 4n + 8.

I Can Make it Simpler If you want , Just ask me In The Comments

""Ahmed Mansur"

1/3 is the probability of rolling either a 5 or a 6 using a normal six-sided die.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event.

Given:

Six-sided dice rolled once

Let n be the number of outcomes

let x be the number of favorable outcomes

We know that,

\(Probability=\frac{x}{n}\)

When the six-sided dice roll, The possible outcomes are,

\(\{1,\;2,\;3,\;4,\;5,\;6\}\)

Therefore,

\(Number\;of\;outcomes,\;n=6\)

\(Probability\;rolling\;5\;is\;\frac{1}{6}\)

\(Probability\;rolling\;6\;is\;\frac{1}{6}\)

Therefore, Probability of rolling either 5 or 6 is,

\(P(5\;or\;6)=\frac{1}{6} +\frac{1}{6}\)

\(P(5\;or\;6)=\frac{2}{6}\)

\(P(5\;or\;6)=\frac{1}{3}\)

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The journal entries to record the above transactions to calculate the profit and loss can be summarized as follows:

The journal entries for the above transactions are as follows:

1. Initial setup:

  Dr. Partner A's Capital (Equity)      $120,000

  Dr. Partner B's Capital (Equity)       $80,000

     Cr. Partnership Net Book Value         $200,000

2. Adjustment for fair value:

  Dr. Partnership Net Book Value        $20,000

     Cr. Unrealized Gain on Revaluation   $20,000

3. Investment by Partner C:

  Dr. Cash (Asset)                                $45,000

     Cr. Partner C's Capital (Equity)             $45,000

The initial setup entry reflects the original partnership net book value of $200,000. It debits Partner A's capital with 60% ($120,000) and Partner B's capital with 40% ($80,000) of the net book value.

The adjustment entry accounts for the difference between the recorded net assets' fair value ($220,000) and the net book value ($200,000). The partnership net book value is increased by $20,000, representing the unrealized gain on revaluation.

The investment entry records Partner C's acquisition of a 20% interest in the partnership capital for $45,000 cash. Cash is debited, and Partner C's capital account is credited with the investment amount.

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Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.

Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

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Answer: A

Step-by-step explanation: This is how to solve: 3239 / (36 *365)

That's 0.246499239 kills per day, so none died

I hope this helped!

Answer:

1440 girls

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

sorry if i'm wrong

Hyperbola will form out from the cone.

The generator, vertex, and vertical axis are three crucial components of the double-napped cone. Conic sections or conics are the curves that result from the division of a double-napped cone into sections by a plane.

A plane intersects with both parts of a double cone to form a hyperbola, which is an open curve with two branches. The hyperbola will be symmetrical regardless of whether the plane is parallel to the axis of the cone or not.

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Answer:

2x+6

Step-by-step explanation:

answer is in the photo above

Answer :-

a) = Let cement, sand and stone in the concrete be x, 2x and 3x,

Each bag of dry concrete is 30 kg,

so,

x + 2x + 3x = 30

or, 6x = 30

so, x = 5

Now,

one bag contaings 2×5 = 10 kg of sand.

He buys just enough sand,stone and cement to make 50 bags of dry concrete,

1 bag = 10 kg sand

50 bags = 10 × 50 kg sand = 500 kg of sand

So,

He buys 500 kg of sand.

b) =

1 bag contains

5 kg of cement, 2×5 = 10 kg of sand and 3×5 = 15 kg of stone,

so,

25 kg of cement = 5.50 euro

5 × 50 kg of cement = 5.50/25 × 250 euro = 55 euro

20 kg of sand = 2 euro

500 kg of sand = 2/20 × 500 euro = 50 euro

15 kg of stone = 3.9 euro

15 × 50 kg = 3.9/15 × 750 euro = 195 euro

Total for 50 bags, he spent 50 + 195 + 55 euro = 300 euro.

He sold it for 396 euro.

His profit percent = (396 - 300)/300 × 100%

So, His profit percent = 32%.

Answer:

See the explanation below

Step-by-step explanation:

The independent variable is the time of the visit

The dependent variable is the total service charge, this depends on the amount of time spent working in the house