Write the next two apparent terms of the sequence. Describe the pattern you used to find these terms. 5, 10, 20, 40

The value of y when x=12 is 600

The values of y vary directly with x

y α x

y = kx

where k is the proportationality constant

The values of y=425 when x=8.5

y = kx

425 = k (8.5)

k = 50

We need to find the value of y when x=12

y = kx

y = 50 x 12

y = 600

Therefore,  the value of y when x=12 is 600

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Answer:

  18 ft

Step-by-step explanation:

You want to know the maximum height of a ball whose height is modeled as a function of time (x) by the equation y = -x² +8x +2.

The vertex of this downward-opening parabola will be the point at which the height is a maximum. We can rearrange the equation to vertex form:

  y = -(x² -8x) +2 . . . . . . group variable terms, factor out leading coefficient

  y = -(x² -8x +16) +2 +16 . . . . . add and subtract the square of half the x-coefficient

  y = -(x -4)² +18 . . . . . . vertex form

Comparing this to the generic vertex form ...

  y = a(x -h)² +k . . . . . . . parabola with vertex (h, k)

we see that the vertex of the given equation is ...

  (h, k) = (4, 18)

The maximum height of the ball is 18 feet.

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Two samples are matched pairs because there are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics. Correct option is A.

This is because the paired t-test is used when we have two related samples or when the same sample is measured twice, such as before and after a treatment.

In this case, the two samples being compared are students' GPAs before and after a particular intervention or treatment. Since the same group of students are being measured twice, they are matched pairs and the paired t-test is appropriate to use.

Option B is not a suitable answer because the fact that the samples are both MBA majors does not necessarily make them matched pairs. Option C is also not a suitable answer because having equal numbers of data does not necessarily make the samples matched pairs.

Option D is not a suitable answer because it does not provide any explanation as to why the paired t-test is being used.

Therefore, correct option is A.

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Complete question is:

Why do we use the paired t test for these data? In other words, why these two samples are matched pairs? Select the most suitable answer. A. There are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics.

B. There two samples of MBA majors.

C. There are two samples with equal number of data.

D. None of these.  

Answer:

y = x + 6

x is any real number greater than or equal to 0,

and y is any real number greater than or equal to 6.

The formula to determine the value of y, or the total amount of flour that Otto used in the recipe, is y=6x.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The correct equation is y = 6 + x, where y is the total amount of flour and x is the amount of white flour used.

The constraints on the values of x and y are x ≥ 0 (because you cannot use negative flour) and y ≥ 6 (because the minimum amount of flour used is 6 cups, and that is when x = 0).

Any real number more than or equal to 0 and any real number higher than or equal to 6 are the restrictions on the values of x and y, respectively.

So the correct answer is: y = x + 6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

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according to question the final equation is:

(y - k)^2/(9/4) - (x - h)^2/16 = 1

The equation of a hyperbola centered at the origin with a vertical transverse axis of length 2a and a conjugate axis of length 2b is:

y^2/a^2 - x^2/b^2 = 1

Since the center is not at the origin, we need to use a slightly modified equation. If the center of the hyperbola is at (h, k), then the equation becomes:

(y - k)^2/a^2 - (x - h)^2/b^2 = 1

In this case, the center is not given, so we cannot write the full equation. However, we can write the equation of the hyperbola if we assume that the center is at the origin (0,0) and then shift it later.

Given that the length of the vertical transverse axis is 3, we know that 2a = 3, so a = 3/2. Similarly, since the length of the conjugate axis is 8, we know that 2b = 8, so b = 4.

Therefore, assuming that the center of the hyperbola is at the origin, the equation of the hyperbola is:

y^2/(9/4) - x^2/16 = 1

To shift the center of the hyperbola to a different point (h,k), we replace x with (x - h) and y with (y - k),

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Answer:

The answer is below

Step-by-step explanation:

Let C represent the boy scout with camping badge, S for boy scout with swimming badge and F for boy scout with first aid badge.

a) The number of boy scout with first aid badge = boy scout with all three badges + boy scout with first aid badges alone + boy scout with first aid and swimming badges + boy scout with first aid and camping badges

The number of boy scout with first aid badge = 2 + 5 + 6 + 3  = 16

b) The number of boy scout with camping badge or swimming badge = C ∪ S = 10 + 4 + 2 + 6 + 7 + 3 = 32

c) The number of boy scout with camping badge and first badge = C ∩ F = 6 + 2 = 8

d) The number of boy scout with swimming badge but do not have first aid badge = S ∪ F' = 4 + 7 = 11

e) The number of boy scout without camping badge = C' = 7 + 3 + 5 = 15

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

4/5

Step-by-step explanation:

For cosB you do adjacent / hypotenuse so : 12 / 15 and then reduced = 4/5

The correct answer is 1. An equilibrium point, also known as a market-clearing price, is where the supply curve and demand curve intersect and the quantity supplied equals the quantity demanded.

This is the point where there is no excess supply or excess demand in the market, and the price is stable.

In economic theory, the concept of an equilibrium point is crucial in understanding the behavior of markets. When there is a surplus of supply or demand, the market will adjust to restore equilibrium. If the price is too high, the quantity supplied will increase and the quantity demanded will decrease until the equilibrium point is reached. If the price is too low, the quantity demanded will increase and the quantity supplied will decrease until the equilibrium point is reached. Therefore, understanding the equilibrium point is essential for making informed decisions about pricing, production, and investment in a market.

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Answer:

Step-by-step explanation:

We can use the formula for simple interest to calculate the principal amount that must be invested to earn $20 over four years at an interest rate of 5%:

I = P × r × t

where:

I = interest earned = $20

P = principal amount

r = interest rate per year = 5% = 0.05

t = time period in years = 4

Substituting the given values, we get:

$20 = P × 0.05 × 4

Simplifying and solving for P, we get:

P = $20 / (0.05 × 4) = $20 / 0.2 = $100

Therefore, a principal amount of $100 must be invested to earn $20 over four years at an interest rate of 5%

Answer:

4, 20, 2

Step-by-step explanation:

The relationship between x and y is multiplication by 4:

9*4 = 36

4*4 = 16

5*4 = 20

2*4 = 8

Answer:

hi!

your answer would be 4, 20, 2

hope this help! have a nice day/night/morning/afternoon

Step-by-step explanation:

Answer:

0, 1, 1/2

Step-by-step explanation:

First you would have to make them have the same denominators.

The lowest one they share is 24.

What ever you do to the bottom you have to do to the bottom.

1/6, times each by 4.

1 * 4 = 4

6 * 4 = 24

4/24.

Now you have to do the same thnig for 5/8.

But times it by 3, since 8 times 3 is 24.

5 * 3 = 15

8 * 3 = 24

15/24

Now subtract.

15 - 4 = 11/24

the difference is close to one half.

4/24 = 1/6 is close to 0.

15/24 = 5/8 is close to 1.

Answer:

i need the points

Step-by-step explanation:

Answer:

give me the details then I might be able to actually answer it -_-

Step-by-step explanation:

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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The above drawing describes the situation.

By definition

From the picture

As the number of the term in the Fibonacci sequence increases, the Fibonacci numbers themselves also increase. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding numbers.

The sequence starts with 0 and 1, and each subsequent number is found by adding the previous two numbers together.

For example, the first few Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. As you can see, each new number in the sequence is obtained by adding the two previous numbers.

As the term number increases, the Fibonacci numbers grow exponentially. This is because each number is the sum of the two preceding numbers, and as the sequence progresses, the numbers being added together become larger.

As the number of the term in the Fibonacci sequence increases, the Fibonacci numbers also increase, growing exponentially with each term. This pattern continues indefinitely as the Fibonacci sequence goes on.

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Answer:

2.62 dollars

Step-by-step explanation:

Answer:

One solution:(1,2)

Step-by-step explanation:

   y = x + 1

/Plug this in for variable  y  in equation [2]

  -2x - (x +1) = -4

  -3x = -3

Solve equation [2] for the variable  x  

 3x = 3  

    x = 1  

By now we know this much :

   x = 1

   y = x+1

Use the  x  value to solve for  y  

   y = (1)+1 = 2

Hope this helps :D please mark brainliest if correct

Answer: 23x3y

step 1 ((2 • (x2)) • (y3)) • 22xy(-2)

step 2 (2x2 • y3) • 22xy(-2)

step 3 3.1 x2 multiplied by x1 = x(2 + 1) = x3

3.2 y3 multiplied by y(-2) = y(3 + (-2)) = y1 = y

Multiplying exponents:

3.3 21 multiplied by 22 = 2(1 + 2) = 23

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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Answer:

1/2=3/6 1/6<3/6  

1/6<1/2

Step-by-step explanation:

To determine the distribution of the length of the word picked from a sentence, count the number of words with each length and divide by the total number of words in the sentence. This will give you the probability distribution of word lengths.

The distribution of the length of the word picked can be determined by analyzing the sentence. To do this, count the number of words with each length and divide by the total number of words in the sentence.

Start by counting the number of words in the sentence.

Next, count the number of words with each length. For example, count how many words have a length of 1, 2, 3, etc.

Divide the count of words with each length by the total number of words in the sentence.

This will give you the probability distribution of the length of the word picked.

In conclusion, to determine the distribution of the length of the word picked from a sentence, count the number of words with each length and divide by the total number of words in the sentence. This will give you the probability distribution of word lengths.

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Answer:

All of the above are correct.

Answer: You can put any number in a/b because 100 is at least greater!

Step-by-step explanation:

Hope this helps, if not... good luck!

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

Lookie here the total profit is 357.03

the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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