what is the remainder when p(x) is divided by (x+2)?

The number of rows in Pascal's triangle is equal to the number of terms in the polynomial expansion of the binomial (x + y)n, where n is a non-negative integer. Pascal's triangle is an infinite triangular matrix of integers that has many fascinating properties.

Then the number of times a number n appears in the kth position of Pascal's Triangle is given by the formula:⌊(n-k+1)/(k-1)⌋The symbol ⌊⌋ represents the greatest integer function, which returns the largest integer that is less than or equal to a given value.

Using this formula, we may calculate the number of times 41 appears in Pascal's Triangle. Since 41 is not a number that appears in the first few rows of Pascal's Triangle, we'll start with row 10, which is big enough to include 41 in a few places:

For row 10 of Pascal's Triangle, the formula becomes: ⌊(10-k+1)/(k-1)

⌋= ⌊(11-k)/ (k-1)⌋

If k = 1 or k = 10, the formula yields zero, as these positions correspond to the beginning and end of the row, where the numbers are always 1.

If k = 2, the formula yields:⌊(11-2)/1⌋

= 9

Thus, 41 appears 9 times in the second position of row 10 of Pascal's Triangle.

Similarly, if k = 3,

the formula becomes:⌊(11-3)/2⌋

= 4

Thus, 41 appears 4 times in the third position of row 10 of Pascal's Triangle.

If k = 4, the formula becomes:⌊(11-4)/3⌋

= 2

Thus, 41 appears twice in the fourth position of row 10 of Pascal's Triangle.

If k = 5, the formula becomes: ⌊(11-5)/4⌋

= 1

Thus, 41 appears once in the fifth position of row 10 of Pascal's Triangle.

Finally, if k > 5, the formula yields zero, since the number 41 does not appear in the remaining positions of row 10.

Therefore, the number 41 appears 9 + 4 + 2 + 1 = 16 times in row 10 of Pascal's Triangle.

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Answer:

A:5m +10 > 100

Step-by-step explanation:

It said grater so > has to be pointing away from the 100.Also he gets 5 video games every month not ten video games, so it's A.

Also I did that question on the test.

The inequality function that should be used to find m is 5m +10 > 100.

Given that,

Based on the above information, the inequality function is as follows:

5m +10 > 100

Therefore we can conclude that the inequality function that should be used to find m is 5m +10 > 100.

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The Bernoulli Distribution refers to a discrete probability distribution of a random variable that takes only two possible outcomes: 1 (with probability p) and 0 (with probability q=1-p)

p is the probability of success (the occurrence of the event) and q is the probability of failure (the non-occurrence of the event).

Three examples of Bernoulli random variables (rv’s) are:

X = 1 if a randomly selected book is fiction and X = 0 otherwise.

X = the number of fiction books owned by a randomly selected student and X = 0

if there are none.x = the number of accidents caused by a randomly selected driver and X = 0 if there are none

In conclusion, the Bernoulli distribution is a probability distribution of a random variable that takes only two possible outcomes: 1 and 0, where p is the probability of success and q is the probability of failure. There are several examples of Bernoulli rv’s, including those related to books owned by a student, the number of accidents caused by a driver, and more.

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The percent probability that the item is bound as a paper pad is 68%.

The probability that a graph paper item selected at random is bound as a paper pad can be found as follows:First, the total number of graph paper items should be determined.

There are 60 graph spiral notebooks and 125 graph paper pads, for a total of 60 + 125 = 185 graph paper items.

Next, the number of graph paper items that are bound as paper pads should be determined.

There are 125 graph paper pads, so the probability of selecting a graph paper item that is bound as a paper pad is:125 / 185 = 0.68 (rounded to two decimal places)

Therefore, the percent probability that the item is bound as a paper pad is 68%.

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Answer:

what do you mean? for the question

Answer:

I think that the ratio is 1:1

Step-by-step explanation:

Because since the ratio is 6:6, you have to divide both side by 6 and get 1:1. You can't divide it no more (unless if you want it as a decimal). Hope this helped. This is an update.

Answer:

it's B

solve as given by using the formula of slope and then the equation

1.The multiples of 3 in the spinner are 30, 60, and 0 (which is also a multiple of 3).

2. The probability of spinning a multiple of 3 is 3/8.

3. We can expect 30 spins out of 80 to result in a multiple of 3.

1. Starting with 20, the numbers on the spinner are all successive multiples of 10. We must examine the last digit in order to identify the multiples of three in each integer.

2. The proportion of areas on the spinner that are multiples of 3 to all regions on the spinner is the likelihood of spinning a multiple of 3. There are a total of eight regions, three of which are multiples of three.

3. Using the expected value of a binomial distribution formula, we can determine how many spins out of 80 will produce a multiple of 3:

E(x) = np

where n is the total number of spins, and E(x) is the anticipated number of spins that display a multiple of three.

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Answer:

can you tell me what the question is

The inequality of the problem is [tex]r[/tex] ≥ [tex]28[/tex]

If the length of the rope is at least 28 in  that means that the length of the rope can be 28 or higher, so the inequality sign is ≥

Answer:

Step-by-step explanation:

Compare the equation to the standard form for the equation of a circle:

  (x -h)² +(y -k)² = r² . . . . center (h, k), radius r

  x² + y² = 9

We can see that h = k = 0, and r = √9 = 3.

The center is (0, 0), and the radius is 3.

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

Explanation:

For any triangle, the three angles always add to 180.

(angle1)+(angle2)+(angle3) = 180

(x+20)+(60)+(3x) = 180

x+20+60+3x = 180

(x+3x)+(20+60) = 180

4x+80 = 180

4x+80-80 = 180-80 .... subtracting 80 from both sides

4x = 100

4x/4 = 100/4 ... dividing both sides by 4

x = 25 ... is the answer

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

If you want to keep going to find the angles, then

angle 1 = x+20 = 25+20 = 45 degrees

angle 2 = 60 .... nothing to do here

angle 3 = 3x = 3*25 = 75 degrees

Then as a check, adding up the three angles should lead to 180

(angle1)+(angle2)+(angle3) = 45+60+75 = 180

This confirms our answer.

Answer:

10x as much when you multiply a whole number by 10 it will always be 10x as much.

Answer:

Ok, so as long as the number is like 1,2,3,4,5,6,7,8,9,0

Then the number would be added a zero the the back of it and it will because like, ok so if it is the number 4 then you would add a zero to the end making it 40.

Step-by-step explanation:

Hope this helps:)

4x10=40

4+0 to the end of it...

40

Malaki will have approximately $296.16 in his Savings account after 7 years.

To calculate the amount Malaki will have in his savings account after 7 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount in the account,

P is the principal amount (initial deposit),

r is the annual interest rate (expressed as a decimal),

n is the number of times interest is compounded per year, and

t is the number of years.

Given:

P = $250 (initial deposit),

r = 2.5% = 0.025 (interest rate expressed as a decimal),

n = 1 (interest compounded annually),

t = 7 (number of years).

Plugging these values into the formula, we have:

A = $250(1 + 0.025/1)^(1*7)

A = $250(1 + 0.025)^7

A = $250(1.025)^7

A = $250(1.184654712)

A ≈ $296.16

Therefore, Malaki will have approximately $296.16 in his savings account after 7 years.

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The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.

Cuboid A:

Volume of rectangular solid = length × width × height

= 3 × 3 × 3

= 27 cubic units

Cuboid B:

Volume of rectangular solid = length × width × height

= 3 × 3 × 4

= 36 cubic inches

Cuboid C:

Volume of rectangular solid = length × width × height

= 5 × 4 × 3

= 60 cubic inches

Cuboid D:

Volume of rectangular solid = length × width × height

= 4 × 4 × 4

= 64 cubic inches

Cuboid E:

Volume of rectangular solid = length × width × height

= 4 × 4 × 3

= 48 cubic inches

Right circular cylinder:

Radius, r = 2

Height, h = 4

Volume of right circular cylinder = πr²h

= 3.14 × 2² × 4

= 3.14 × 4 × 4

= 50.24 cubic units

Hence, rectangular solid E is similar to right circular cylinder.

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Answer:

110

Step-by-step explanation:

10% of 100 is 10

100+10=110

Answer:

Your final grade would be 87.4

Step-by-step explanation:

When an assessment is worth a certain percentage of a final grade, the grade percentage of the assessment is taken from its allocated percentage of the final grade. For example:

One project is worth 15% of the final grade, and you got 100% on it. This means that the percentage it contributes to the final grade is 100% (achieved) of 15% (allocated %). 100% of 15% is 15% (15x1). This means that if you hypothetically only completed the project 100% without other assessments, your final grade would be 15%.

This is the same for the other project: 100% (achieved) of 15 (% worth of final grade) = 15.

This is because when you get 100% on the project, you get the full 15% of its worth for the final grade (if that makes sense).

So, from both projects, the final grade would be 30.

Now for the 82.

Since the projects together are worth 30% of the final grade, it means that the 82 in class is worth the remaining 70%.

82% (achieved) of 70 (worth %) = 70x0.82 = 57.4

The 82 in class contributes 57.4 towards the final grade.

Since we have 30 from the projects, and the 57.4 from the class, your final grade would be 30+57.4 = 87.4

Hope this helped!

The answer is D. 95th percentile is not needed for constructing a box-plot.

A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset. It consists of several key measures, including the following:

A. First quartile (Q1): This is the 25th percentile, which marks the lower boundary of the box.

B. 50th percentile: This is the median, which is the middle value of the dataset when it is ordered from smallest to largest. It is represented by a line within the box.

C. 75th percentile (Q3): This is the upper quartile, marking the upper boundary of the box.

D. 95th percentile: This measure is not typically used in constructing a box plot. It provides information about the value below which 95% of the data falls, but it is not necessary for constructing the basic elements of a box plot.

Therefore, the correct answer is D. 95th percentile.

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Answer:

169

Step-by-step explanation:

13*13=169

We can split the two 13's up:

(10+3)(10+3)

Multiply 10 with 10, 10 with 3, 3 with 10, and 3 with 3.

Basically, just multiply every single term together.

100+30+30+9

100+69

169

Hope this helps!

Answer:

its 1/2

Step-by-step explanation:

Answer:

5(3x + 1)

Step-by-step explanation:

Find common factors both number terms

Factors of:

15: 1 , 3 , 5 , 15

5: 1 , 5

The greatest common factor is 5. Divide 5 from both terms:

(15x + 5)/5 = (15x)/5 + (5)/5 = 3x + 1

Remember to move the 5 to the outside of the parenthesis:

5(3x + 1) is your answer.

~

In managing conflicts, you may deal with different types of people, such as assertive individuals, passive individuals, aggressive individuals, and passive-aggressive individuals.

Assertive Individuals: Assertive individuals are confident and express their opinions and needs in a direct and respectful manner. They are good at communication, actively listen to others, and seek win-win solutions in conflicts.

Passive Individuals: Passive individuals tend to avoid conflicts and often prioritize maintaining harmony over expressing their own needs or concerns.

Aggressive Individuals: Aggressive individuals tend to be assertive but in a negative and confrontational way. They may use intimidation, manipulation, or verbal and physical aggression to get their way. They often disregard the needs and feelings of others.

a. Viscosity: Viscosity refers to the measure of a fluid's resistance to flow. It describes the thickness or stickiness of a fluid, indicating how easily it flows or pours. High viscosity fluids are thick and flow slowly, while low viscosity fluids are thin and flow more easily.

b. Dimensionally Homogeneous: Dimensional homogeneity refers to the property of a mathematical equation or expression where all the terms have the same units and dimensions. In other words, the physical quantities on both sides of the equation have consistent units and dimensions.

c. Numerical Solution: A numerical solution refers to an approximation or solution obtained through computational methods rather than analytical methods. It involves using numerical algorithms or techniques to solve mathematical equations or systems of equations, especially when analytical solutions are not easily obtainable.

d. "Least Count" of a Measuring Instrument: The "Least Count" of a measuring instrument is the smallest value that can be measured or indicated by the instrument. It represents the resolution or precision of the instrument. For example, if the least count of a ruler is 1 mm, it means the ruler can measure lengths with an accuracy of 1 mm.

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Answer:

Definitely 85.5

Just worked it out

Answer:

85.5

Median: The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers). When there is an even number of terms, add the two middle terms and divide by 2.

Step-by-step explanation:

79, 83, 88, 93

83 + 88 = 171

171 ÷ 2 = 85.5

Answer:

solution

3mx-5nx+3my-5ny

3mx+3my-5nx-5ny

3m(x+y)- 5x(x+y)

(x+y) (3m-5n) ans

Step-by-step explanation:

(x+y) is common so, both are in one bracket ( ).

Answer:

-3w^2+5x^2-5w

Step-by-step explanation:

answer X= -29

or falls

Option c) SSA similarity is not a way to show that triangles are similar.What is similarity?The term "similarity" implies that two things are similar. In geometry, two figures are similar if they have the same shape but are of different sizes.

There are various methods to show that triangles are similar, such as AAA similarity, SAS similarity, SSS similarity, and so on.SSA similarity is not a way to show that triangles are similar. SSA similarity is where two triangles share a pair of angles and one side that is opposite to one of the angles, but the triangles are not necessarily congruent. If two triangles have an equal angle and their corresponding sides are in the same ratio, they are only similar, not congruent. This method is inadequate for determining whether or not triangles are similar.

In geometry, two triangles are said to be similar if they have the same shape but are not necessarily the same size. In other words, the corresponding angles are equal, and the corresponding sides are proportional. It can be shown that if any two angles of one triangle are equal to any two angles of another triangle, then the third angles must also be equal. In this case, the triangles are said to be similar.Various methods exist to demonstrate that triangles are similar, including the AAA similarity, SAS similarity, SSS similarity, and so on. These methods all have different criteria for determining similarity.AAA similarity is when two triangles have three corresponding angles that are equal. The triangles are then considered to be similar.SAS similarity is when two triangles have two corresponding sides that are in proportion, and the included angle is equal. In this case, the triangles are said to be similar.SSS similarity is when two triangles have corresponding sides that are proportional. If all three pairs of corresponding sides are proportional, the triangles are similar.SSA similarity is not a method for proving similarity since it is not unique. In other words, two triangles can have the same angle-side-angle configuration and not be similar. The reason for this is that it is possible for one triangle to have a longer side than the other. In this case, the triangles would not be similar.

Option c) SSA similarity is not a way to show that triangles are similar. Two triangles can have the same angle-side-angle configuration and not be similar if one triangle has a longer side than the other. If two triangles have an equal angle and their corresponding sides are in the same ratio, they are only similar, not congruent. Therefore, the correct option is c).

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