1.True or false: all variable terms can be combined, regardless of exponents

2. Polynomials in standard form…
a. Are in ascending order of monomial degrees
b. Are in descending order of monomial degrees
c. Are in whatever order in which they are given

Answer:

192

Step-by-step explanation:

To estimate the value of 64.127 × 3.413, we can simply round each decimal downwards:

We round downwards because to in order to estimate the product of 2 numbers, we need to make the equation as simple as possible. One way we can do this is round each number either upwards, or downwards.

To find out if we round upwards or downwards, we use the rule 5 or more rounds up.

Now we can solve.

Therefore, the estimated value of 64.127 × 3.413 is 192.

The missing values from the ratio table are underlined:

Peppermints: 14, 2, 2/7.

Chocolates: 21, 21, 189.

To fill in the missing values in the ratio table, we need to find the common ratio between the given values.

For the Peppermints row:

Common ratio = (2nd value) / (1st value) = 2 / 14 = 1/7

So, the missing value can be found by multiplying the 2nd value (2) by the common ratio:

Missing value = (2nd value) * (common ratio) = 2 * (1/7) = 2/7

Therefore, the missing value in the Peppermints row is 2/7.

For the Chocolates row:

Common ratio = (3rd value) / (2nd value) = 189 / 21 = 9

The missing value in the Chocolates row can be found by dividing the 3rd value (189) by the common ratio:

Missing value = (3rd value) / (common ratio) = 189 / 9 = 21

Therefore, the missing value in the Chocolates row is 21.

The completed ratio table is as follows:

Peppermints - 14, 2, 2/7

Chocolates - 21, 21, 189

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Step-by-step explanation:

a probability is airways the ratio

number of desired cases / number of totally possible cases

so, we have 7 nickels and 6 dimes. together that means we have 7+6 = 13 coins in total in the pocket.

since we return the coin from the first pull, we have the exact same probabilities for the second pull.

the 2 pulls are to be considered one combined event, so we need to combine the individual probabilities for the overall event probability.

the probabilty to pull a nickel in a pull is

7/13

7 desired possible outcomes over 13 total possible outcomes.

the combination of the probabilities of both pulls is simply their product.

so, the probability to pull 2 nickels is

7/13 × 7/13 = 49/169 = 0.289940828...

Therefore, the expected annual profit of Ruby Company is 2.703 billion dollars using probability.

Let X be the annual profit of the company. We know that X follows a normal distribution with variance equal to the cube of its mean, i.e., Var(X) = (E[X])^3.

To find the expected annual profit, we need to find the mean of X, denoted as E[X].

We are given that the probability of an annual loss is 5%. This means that the probability of making a profit is 1 - 0.05 = 0.95.

Let Z be a standard normal random variable, then we have:

P(X < 0) = P((X - E[X]) / sqrt(Var(X)) < (0 - E[X]) / sqrt(Var(X)))

= P(Z < -E[X] / (E[X])^(3/2))

Since P(X < 0) = 0.05, we have:

0.05 = P(Z < -E[X] / (E[X])^(3/2))

Using a standard normal table or calculator, we can find that P(Z < -1.645) = 0.05, where -1.645 is the 5th percentile of the standard normal distribution.

Thus, we have:

-E[X] / (E[X])^(3/2) = -1.645

this equation, we get:

E[X]^(1/2) = 1.645

Taking the square of both sides, we get:

E[X] = 2.703

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The solution to the system of equations is

x = 3

y = 2

z = 2

Here, we have,

To solve for x, y, and z, we can use the elimination method or substitution method. Here, we will use the elimination method.

First, we will eliminate y from the equations by multiplying the first equation by 3 and the second equation by 1, and then adding them:

(3) (2x – y + 3z = 10)

6x – 3y + 9z = 30

(1) (x + 3y – 2z = 5)

x + 3y – 2z = 5

Adding the two equations gives:

7x + 7z = 35

Simplifying, we get

x + z = 5 (Equation 1)

Next, we will eliminate y again by multiplying the second equation by 2 and the third equation by 3, and then adding them:

(2) (x + 3y – 2z = 5)

2x + 6y – 4z = 10

(3) (3x – 2y + 4z = 12)

9x – 6y + 12z = 36

Adding the two equations gives:

11x + 8z = 46

Substituting x + z = 5 from Equation 1 into the above equation, we get:

11(x + z) + 8z = 46

11x + 19z = 46

Solving for z, we get:

z = 2

Substituting z = 2 into x + z = 5 from Equation 1, we get:

x + 2 = 5

x = 3

Finally, substituting x = 3 and z = 2 into any of the original equations, we can solve for y:

2x – y + 3z = 10

2(3) – y + 3(2) = 10

6 – y + 6 = 10

y = 2

Therefore, the solution to the system of equations is:

x = 3

y = 2

z = 2

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complete question:

Solve for x, y and z

2x – y + 3z = 10

x + 3y – 2z = 5

3x – 2y + 4z = 12

An answer option that is true about the plane of intersection include the following: 1. The right cylinder is cut with a plane that is neither parallel nor perpendicular to the base.

In Mathematics and Geometry, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes generally intersect at a line.

In order to have an intersection of a right cylinder and a plane that would make an oval cross section, the right cylinder must be cut with a plane that is neither parallel nor perpendicular to its base.

However, if the right cylinder is cut with a plane that is parallel to its base, then, the shape of cross section that would be formed is a circle.

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The best estimate of the random sample in the survey that support the proposal is the option; 4.1

A random sample is a collection of data selected from a population such that each member of the population have the same chance of being selected.

The best estimate can be obtained from the mean value of the result from the poll, which can be obtained as follows;

The mean response = The sum of the response ÷ The count or the number of responses

The responses are; 7, 2, 6, 7, 3, 5, 5, 3, 2, 1

The sum of the response = 7 + 2 + 6 + 7 + 3 + 5 + 5  + 3 + 2 + 1 = 41

The number of response = 10

The mean of the response = (7 + 2 + 6 + 7 + 3 + 5 + 5  + 3 + 2 + 1)/10 = 4.1

The best estimate of the state citizens that support the proposal, therefore is; 4.1, which indicates that the citizens in the sample are slightly in support of the proposal.

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Answer: #4

Step-by-step explanation:

I haven't done anything like this in years but I think it is the 4th answer :)

Sorry if I'm wrong. I am a year ahead in math and in an honors class so i would think I'm pretty smart

well, we know the store is having a 20% off sale, so if you go and buy a few items and the total cost is X, well, since the items are on sale, you won't be paying 100% of X, you'll be paying only 100% - 20% = 80% of X, hmmm how much is 80% of X anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of X}}{\left( \cfrac{80}{100} \right)X}\implies 0.80X \\\\[-0.35em] ~\dotfill\\\\ ~\hspace{12em}\stackrel{ \textit{total amount} }{A}~~ = ~~0.80X[/tex]

Answer: 12.3 cm

Step-by-step explanation:

          We are given the perimeter and all but one of the missing side lengths. The perimeter is equal to all of the side lengths added together. Using this information, we can create an equation to solve for the missing length, ?.

? = 65.9 cm - (9.2 cm + 4.7 cm + 4.7 cm + 2.2 cm + 9.2 cm + 2.2 cm + 12 cm + 4.7 cm + 4.7 cm)

? = 65.9 cm - 53.6 cm

? = 12.3 cm

The volume of the cone is 57.44 cubic cm

The volume of the cone and sphere is 229.88 cubic cm

The height of the square pyramid will be 115.03 cm

The volume of a cone can be calculated using the formula:

V = (1/3)πr²h

where

V = volume of the cone

π = pi, approximately 3.14

r = radius of the base of the cone

h = height of the cone

2 x V = 2 * (1/3) * 3.14 * 2.8² * 3.5

The volume of the cone is 57.44 cubic cm

2.

Volume = volume of cone + volume of sphere

= (4/3)πr³ +  (1/3)πr²h

= (4/3) * 3.14 * 3.4³ +  (1/3) * 3.14 * 3.4² * 5.4

= 229.88 cubic cm

3. Volume of square pyramid

= base area * h/3

when base is 230

= 230² * 147/3 = 2592100

when base is 260

260² * h/3 = 2592100

h/3 = 2592100 / 260²

h = 115.03 cm

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Answer:

To solve the inequality 3 ≤ (x - 4)/2 + x/3 < 2, we can start by simplifying the expression on the right-hand side:

(x - 4)/2 + x/3 = (3(x - 4) + 2x)/6 = (5x - 12)/6

Substituting this back into the inequality, we have:

3 ≤ (5x - 12)/6 < 2

Multiplying both sides by 6, we get:

18 ≤ 5x - 12 < 12

Adding 12 to all sides, we get:

30 ≤ 5x < 24

Dividing all sides by 5, we get:

6 ≤ x < 4.8

Since x is an integer, the only integer that satisfies this inequality is x = 6. Therefore, the solution set for the inequality 3 ≤ (x - 4)/2 + x/3 < 2, where x belongs to an integer, is {6}.

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Answer:

Step-by-step explanation:

x^4+13^x^2+36=4x^3+36

4x+26x+36=4x^3+36

30x+36=12x+36

30x=12x

so,x=1

The distribution that t follows is the maximum of three independent exponential distributions with a mean of 5 minutes each.

Each block takes an exponential amount of time with a mean of 5 minutes, which means that the time it takes to compile each block follows an exponential distribution with a rate parameter of 1/5. Since the blocks are being compiled independently of each other, the time it takes to compile all three blocks is the maximum of the three independent exponential distributions.

This distribution is known as the maximum of exponential distributions or the generalized extreme value distribution with a shape parameter of 0 and scale parameter of 5 minutes. Therefore, t follows a generalized extreme value distribution with a shape parameter of 0 and scale parameter of 5 minutes.

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Answer:112 players

Step-by-step explanation:

To solve the problem, we can use the formula:

Total number of players = Number of teams × Number of players per team

Since there are 14 teams with 8 players each, we have:

Total number of players = 14 × 8 = 112

Therefore, there are 112 players in the soccer league.

Answer:

a. The population distribution of the duration of your phone calls is likely to be bell shaped. This is because the mean, median, and mode are all equal to 2.4 minutes. This means that the data is evenly distributed around the mean.

b. The distribution of the 45 calls is likely to be bell shaped as well. This is because the sample size is large enough to be representative of the population. Additionally, the sample was randomly selected, so it is unlikely to be biased.

c. The sampling distribution of the sample mean is also likely to be bell shaped. This is because the central limit theorem states that the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough. In this case, the sample size is 45, which is large enough to satisfy the requirements of the central limit theorem.

It is important to note that the sampling distribution of the sample mean will only be exactly normal if the population distribution is normal. However, in most cases, the sampling distribution will be approximately normal, even if the population distribution is not.

Step-by-step explanation:

The Diagonal distance between point A and point B is approximately 8.2 units.

1. To find the diagonal distance between point A (2Y, 1X) and point B (9Y, 9X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((9 - 2)^2 + (9 - 1)^2)

distance = √(49 + 64)

distance = √113

distance ≈ 10.6

Therefore, the diagonal distance between point A and point B is approximately 10.6 units.

2. To find the diagonal distance between point A (4Y, -1X) and point B (-15Y, 3X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((-15 - 4)^2 + (3 - (-1))^2)

distance = √(361 + 16)

distance = √377

distance ≈ 19.4

Therefore, the diagonal distance between point A and point B is approximately 19.4 units.

3. To find the diagonal distance between point A (7Y, 1X) and point B (5Y, 9X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((5 - 7)^2 + (9 - 1)^2)

distance = √4 + 64

distance = √68

distance ≈ 8.2

Therefore, the diagonal distance between point A and point B is approximately 8.2 units.

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The distance d from P to the point (0,0) is √x²+x.

What is the distance formula?

The d-distance between two places is calculated using the distance formula. The distance formula determines how far apart two areas are from one another. The dimensions of these points are unlimited.

Here, we have

Given: Let P(x,y) be a point on the graph of y=√x.

We have to find the distance d from P to the point (0,0)(0,0) as a function of x.

Since P = (x,y) is on the graph of y =√x,

P can be expressed as (x,√x).

Now, we apply the distance formula and we get

d = √[(x - 0)² + (√x - 0)²]

d = √x²+x

Hence, the distance d from P to the point (0,0) is √x²+x.

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The historian is engaged in the process of data collection, which is the first step in the data analysis process. In this case, the historian is collecting marriage records from the archives to estimate the average age at which men married in the United States in 1956.

   Once the historian has collected the data, he will move on to the next steps in the data analysis process, which include data preparation, data analysis, and interpretation of results. In data preparation, the historian will clean, transform, and organize the data so that it is ready for analysis. In data analysis, he will use statistical methods to analyze the data and answer his research question. Finally, in interpretation of results, he will draw conclusions from the analysis and communicate his findings.

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The historian is engaged in the process of data collection, which is the first step in the data analysis process. In this case, the historian is collecting marriage records from the archives to estimate the average age at which men married in the United States in 1956.

  Once the historian has collected the data, he will move on to the next steps in the data analysis process, which include data preparation, data analysis, and interpretation of results. In data preparation, the historian will clean, transform, and organize the data so that it is ready for analysis. In data analysis, he will use statistical methods to analyze the data and answer his research question. Finally, in interpretation of results, he will draw conclusions from the analysis and communicate his findings.

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Answer: 0

Step-by-step explanation:

Range = Highest number - lowest number

range = 6 - 6

range = 0

The equation y= 1/2 x means that you want the y-values to be half of the x-value.

If x = 4, then y = 2.  If x = 10, then y = 5.

The only table table that shows this relationship is B.

If the saving rate is 1, it means that an individual or an economy saves their entire income and spends nothing. This implies that the consumption rate is 0, and all income is being saved.

In this scenario, the investment rate is equal to the saving rate, as there is no consumption spending. Therefore, the economy is investing all of its income in capital goods and not in consumption goods. This approach may result in high economic growth in the future due to the increased production capacity of the economy. However, in the short term, it may lead to a decrease in consumer demand and a decrease in output and employment in sectors producing consumer goods.

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Therefore, the minimum amount of rubber needed to manufacture a set of four basketballs is 1130.96 square inches.

To determine the minimum amount of rubber needed to manufacture a set of four basketballs, we need to calculate the total surface area of one basketball. The formula to calculate the surface area of a sphere is 4πr², where r is the radius of the sphere. The diameter of a standard basketball is 9.5 inches, so the radius is half of that, which is 4.75 inches.
Using the formula, we can calculate the surface area of one basketball as 4π(4.75)² = 282.74 square inches. To manufacture a set of four basketballs, we need to multiply the surface area of one basketball by four, which gives us 1130.96 square inches.
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The measure of the angle m∠ACB subtended by the arc AB at the center is equal to 140°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

The arc AB completes the circumference of the circle, with the other arc ADB

So since;

arc AB = 360° - 220°

arc AB = 140°

so;

m∠ACB = 140°

Therefore, the measure of the angle m∠ACB subtended by the arc AB at the center is equal to 140°

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Answer:

A,-i

Step-by-step explanation:

-i⁵=-i*-i*-i*-i*-i

=i*-i*-i*-i

=-i*-i*-i

=i*-i

=-i

If Andrea ate the same amount of calories both days, Each cookie has 100 calories.

To find out how many calories are in each cookie, we need to determine the total number of calories consumed and divide it by the total number of cookies.

On Friday, Andrea ate 4 cookies and 1700 calories with her meals, resulting in a total of 1700 + (4 * C) calories, where C represents the calories per cookie.

On Saturday, Andrea ate 5 cookies and 1650 calories with her meals, resulting in a total of 1650 + (5 * C) calories.

Since Andrea ate the same amount of calories both days, we can set up an equation:

1700 + (4 * C) = 1650 + (5 * C)

Simplifying the equation, we get:

50 = C

Therefore, each cookie has 50 calories.

It's worth noting that the solution assumes that the calorie content of the meals on both days is the same and only the calorie content from the cookies varies.

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The surface area of each cylinder would be = 777.15m²

To calculate the surface area of the given cylinder, the formula that should be use will be written below. That is;

Surface area of cylinder = 2πr²+2πrh

Where;

radius = diameter/2 = 15/2 = 7.5m

height = 9m

Surface area= 2×3.14×7.5×7.5+2×3.14×7.5×9

= 353.25+ 423.9

= 777.15m²

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The computations for the p-value of a hypothesis test about a population mean rely on the mathematical properties of the t-distribution and the sample statistics.

The p-value in statistics is the probability that the null hypothesis will be rejected if it is true. In hypothesis testing, p-values are utilized to determine whether or not the null hypothesis should be rejected. The p-value is calculated utilizing a test statistic that is based on the sample statistics and the assumptions of the null hypothesis.

The significance level, alpha, is usually set at 0.05 or 0.01 in hypothesis testing.A p-value of less than or equal to the significance level (alpha) indicates that the null hypothesis should be rejected

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Answer:

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

∠ADC and ∠ABC subtend the same arc AC, hence ∠ABC is double the measure of ∠ADC:

Answer: 8575/2

Step-by-step explanation: