Let V be the set of all ordered triples of real numbers with addition and scalar multiplication defined as follows: (x, y, z) + (x'. y' z') = (x + x'.0,2 + z!) and k(x,y,z) (kx,ky, kz) for all real numbers k. Prove that V is not a vector space.

No, neither fog nor gof is equal to x. The expressions fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5 have different constant terms, indicating that they are not equal to x. The correct option is O (No, no.)

To determine whether the composite functions, fog and gof, are equal to x, we need to evaluate them using the functions f(x) = 1/5x and g(x) = 2x - 5.

First, let's calculate fog:

fog(x) = f(g(x)) = f(2x - 5) = 1/5(2x - 5) = 2/5x - 1

Next, let's calculate gof:

gof(x) = g(f(x)) = g(1/5x) = 2(1/5x) - 5 = 2/5x - 5

Comparing fog and gof, we can see that they are not equal to x. Specifically, fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5.

Therefore, the correct option is "No, no" as neither fog nor gof is equal to x.

Alternatively, if we simplify fog and gof as a single expression, we have fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5. Since both expressions have different constant terms, they cannot be equal to x.

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Answer:

the intergers include all negative whole numbers,zero,positive whole numbers

Answer:

the answer is 15. -9. 0. -3,128

Step-by-step explanation:

Answer:

A.

C.

E.

Step-by-step explanation:

A

-1/9×6=

-1/9×6/1= -6/9 = -2/3

B

-15 ÷ 10

-15/1 ÷ 10/1

-15/1 × 1/10 = -15/10 = -3/2

C

12 ÷ -18 =

12/1 ÷ -18/1 =

12/1 × -1/18 = -12/18 = -2/3

D

-3/4 ÷ 1/2 =

-3/4 × 2/1 = -6/4 = -3/2

E

-8/9 × 3/4 = -24/36 = -2/3

Answer: And the answer is b 6,7

Step-by-step explanation:

Did you meant “Please help me on this question if you would want brainliest!! Thank you!!”

Answer:

30.2

Step-by-step explanation:

a qurter is 25 and there is 100 cents in a dollar so u do 755 divided by 25

Answer:

Hi! You're uspposed to check the equality, and it is false. 8/10 is not equal to 6/5.

However, If you add the two together by making the common denominator 10, you will get 20/10 or 2.

Answer:

4/5=6/5 :3

Step-by-step explanation:

The 95.44% confidence interval for the mean score is approximately 68.47 to 81.53. Among the given options, the closest match is 68.3 to 81.7. Option b is correct.

To construct a confidence interval for the mean score, we can use the formula:

CI = X ± Z × (σ / √n)

where X is the sample mean, Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

In this case, the sample mean X is 75, the population standard deviation σ is 10, and the sample size n is 9. The desired confidence level is 95.44%, which corresponds to a z-score of approximately 1.96.

Plugging in these values, we get:

CI = 75 ± 1.96 × (10 / √9)

  = 75 ± 1.96 × (10 / 3)

  ≈ 75 ± 6.53

Therefore, the 95.44% confidence interval for the mean score is approximately 68.47 to 81.53.

Among the given options, the closest match is 68.3 to 81.7, so the correct answer is b.

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To find the rate of change of the volume when the radius is 12 inches, we can use the formula for the volume of a sphere:

V = (4/3) * π * [tex]r^3[/tex]

To find the rate of change of the volume, we need to take the derivative of the volume function with respect to time (t) using the chain rule. The derivative of the volume function with respect to time will give us the rate of change of the volume.

dV/dt = (dV/dr) * (dr/dt)

where dV/dt is the rate of change of the volume, dV/dr is the derivative of the volume with respect to the radius, and dr/dt is the rate of change of the radius.

Given that the radius is increasing at a rate of 5 inches per minute (dr/dt = 5), we can substitute this value into the formula.

Now, let's calculate the derivative of the volume with respect to the radius (dV/dr):

dV/dr = d/dt [(4/3) * π[tex]* r^3[/tex]] = (4/3) * π * [tex]3r^2[/tex]= 4π[tex]r^2[/tex]

Substituting the values into the formula for the rate of change of the volume:

dV/dt = (dV/dr) * (dr/dt) = 4π[tex]r^2[/tex]* 5 = 20π[tex]r^2[/tex]

When the radius is 12 inches (r = 12), we can plug this value into the formula to find the rate of change of the volume:

dV/dt = 20π[tex]r^2[/tex] = 20π(1[tex]2^2[/tex]) = 20π * 144 = 2880π

Therefore, when the radius is 12 inches, the rate of change of the volume is 2880π cubic inches per minute.

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Answer:

25.7 m

Step-by-step explanation:

The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter.  Thus, the formula for the circumference is C = (d)(pi).  The perimeter of a semicircle is half that, or

C = (pi)(r), which here is (3.14)(5 m) = 15.7 m.  Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:

P = 15.7 m + 10 m = 25.7 m

Answer:

slope- intercept form

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Answer:

sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or

                                    = (1 / √2)(1 / 2)        + (1 / √2)(√3 / 2)

                                         1 + √3

                                    = -------------

                                           2√2

Step-by-step explanation:

Answer:What is the symbol at the end?

Step-by-step explanation:

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

Answer:

i have to see the assigment

Step-by-step explanation:

Answer:

(2) is the answer for your question

Answer:

47%

Step-by-step explanation:

There are 15 total students, so find the percentage of girls out of the total students: 7/15= .466, which is about 47%. To double check, you can do the boys and make sure it adds to 100%. 8/15= .533, which is about 53%. 47+53=100. So girls are 47% and boys are 53%

Answer:

A

Step-by-step explanation:

-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.

Answer:

99.95 yd

Step-by-step explanation:

Used the formulas

C=2πr

d=2r

The extreme point (x*, y*) of the function z = 25x + 16y - 4xy - 2x² - y² + 30 is  (-1.75, 8) and it is a maximum point.

To find the extreme point and its nature, we need to take the partial derivatives of the function with respect to x and y and set them equal to zero. The extreme point occurs when both partial derivatives are zero.

Taking the partial derivatives, we have:

∂z/∂x = 25 - 4y - 4x

∂z/∂y = 16 - 2y

Setting these derivatives equal to zero and solving the system of equations, we find:

25 - 4y - 4x = 0 ...(1)

16 - 2y = 0 ...(2)

From equation (2), we can solve for y:

2y = 16

y = 8

Substituting this value of y into equation (1), we can solve for x:

25 - 4(8) - 4x = 0

25 - 32 - 4x = 0

-4x = 7

x = -7/4 = -1.75

Therefore, the extreme point (x*, y*) is (-1.75, 8).

Since the second derivative test confirms that the point is a maximum, we can conclude that the extreme point (x*, y*) =  (-1.75, 8) is a maximum point.

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Answer:

169.8 or 169 4/5

Step-by-step explanation:

Times all of the numbers together

The volume of a rectangular prism can be written as 168 cubic in

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

WE are given the dimensions as;

length= 8 in

Width = 1 3/4 = 7/4

Height = 12 1/8 = 96/8 in

Thus, the volume of a rectangular prism can be written as:

8 x 7/4 x 96/8

= 168 cubic in

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Approximately 0.0668 or 6.68% of people have a score above 50 in the given normal distribution.

To compute the z-score, we can use the formula:

z = (X - μ) / σ

Where:

X = observed value

μ = mean of the distribution

σ = standard deviation of the distribution

Given:

X = 60

μ = 10

σ = 30

Substituting these values into the formula:

z = (60 - 10) / 30

z = 50 / 30

z = 1.667 (rounded to three decimal places)

Therefore, the z-score is approximately 1.667.

Moving on to the second question, we need to find the proportion of people with a score above 50 in a normal distribution with a mean of -30 and a standard deviation of 15.

To calculate this proportion, we can use a standard normal distribution table or a statistical calculator. From the standard normal distribution table, we can find the area to the left of 50, which is 0.9332 (rounded to four decimal places).

Since we want the proportion above 50, we subtract this value from 1:

Proportion = 1 - 0.9332 = 0.0668 (rounded to four decimal places)

Therefore, approximately 0.0668 or 6.68% of people have a score above 50 in the given normal distribution.

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To answer your questions:

14. In a two-way between-subjects ANOVA with two groups per factor, you have 2 factors and a total of 4 groups in your study.

15. If the interaction F-test in a two-way between-subjects ANOVA is significant, the next step would be to conduct a post-hoc analysis to explore the specific group differences and determine the nature of the interaction effect. The choice of post-hoc test (e.g., Tukey, Bonferroni) would depend on the specific research question and the number of comparisons being made.

16. True. When there is an interaction in a two-way between-subjects ANOVA, it means that the means across the levels of one factor significantly vary depending on which level of the second factor is being considered.

17. If you have two factors that are both on an ordinal (or rank) scale, you would use the Spearman correlation coefficient to measure the relationship between these factors.

18. In a multiple regression analysis, you can have multiple outcome variables, but typically you would have only one outcome variable that you are trying to predict.

19. In a regression analysis, the "b" refers to the unstandardized weight (also known as the regression coefficient) of a predictor variable. It represents the change in the outcome variable for a one-unit change in the predictor, holding other predictors constant.

20. If the overall regression model is significant, the next step would be to examine the individual predictor variables (b-weights) to determine which variables are significant in predicting the outcome variable.

21. The largest positive standardized regression weight is represented by ob* = -0.35.

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In this case, the p-value is not provided in the question, so the actual value needs to be calculated using the appropriate statistical test.

In hypothesis testing, the p-value represents the probability of obtaining the observed sample data, or more extreme data, assuming that the null hypothesis is true.

It measures the strength of evidence against the null hypothesis.

In this case, the null hypothesis is that the population proportion of black people is 0.2.

The alternative hypothesis is that the proportion is not equal to 0.2, indicating that there may be a difference in the population proportion.

To find the p-value, a statistical test (such as a proportion test) is performed using the sample data.

Based on the given information, the p-value is the probability associated with the test statistic obtained from the test.

The p-value indicates the likelihood of observing a proportion as extreme or more extreme than the one observed in the sample, assuming the null hypothesis is true.

A smaller p-value suggests stronger evidence against the null hypothesis.

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Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

The data on grades (of a particular class) collected over two semesters would be considered as time series data.

Time series data refers to any set of data collected over time, where time acts as a variable in the data set. Time series data consists of repeated measurements of the same variable taken over regular intervals of time.

A time series is a collection of observations obtained by observing a single variable or a single data point over a certain period of time. Time series data are ordered sequentially and collected at evenly spaced intervals of time. In this question, the grades were collected over two semesters, which are considered a series of two data points that were collected over time. Hence, it is a time series data.

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The data on grades (of a particular class) collected over two semesters would be considered time series data whereas Cross-sectional data is a type of data that is collected at a particular point in time.

The data on grades (of a particular class) collected over two semesters would be considered time series data. This is because time series data is collected over time at regular intervals, and in this case, the data is collected over two semesters, which are specific periods of time.

Time series data is a type of data that is collected over time at regular intervals. This type of data is commonly used in various fields such as economics, finance, and statistics. Time series data is useful in identifying trends, seasonal patterns, and cycles within the data. It can also be used to predict future values based on the patterns that are observed within the data.

Cross-sectional data is a type of data that is collected at a particular point in time. This type of data is commonly used in surveys and opinion polls. Cross-sectional data is useful in identifying the characteristics of a particular group of people or entities at a particular point in time. It is also used to compare the characteristics of different groups of people or entities at the same point in time.

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Answer:

Step-by-step explanation:

Choose C.

x^2 = a/b must be true.

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

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Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.