( 7 + square root of 6)²​

The range of the given function {(-2, 0), (-4,-3), (2, -9), (0,5), (-5, 7)} is {y | y = -9, -3, 0, 5, 7}. Correct option is B.

To find the range of the given function, we need to identify all possible y-values (the second coordinate) of the given set of ordered pairs.

From the given set, we can see that the y-values are -9, -3, 0, 5, and 7. Therefore, the range of the function is the set of these y-values, which is {y | y = -9, -3, 0, 5, 7}.

Option B) {y | y = -9, -3, 0, 5, 7} is the correct answer, as it represents all possible y-values in the given set.

Option A) {x | x = -5, -4, -2, 0, 2} is incorrect, as it represents the x-values in the given set, not the range of the function.

Option C) {x | x = -9, -5, 4, -3, -2, 0, 2, 5, 7} is incorrect, as it represents a combination of x and y-values in the given set, not the range of the function.

Option D) {y | y = -9, -5, -4, -3, -2, 0, 2, 5, 7} is incorrect, as it includes -4 in the range, which is not a valid y-value in the given set.

Therefore, correct option is B.

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Complete question is:

What is the range of the given function?

{(-2, 0), (-4,-3), (2, -9), (0,5), (-5, 7)}

A) {x|x = -5, -4,-2, 0, 2)

B) {yly = -9, -3, 0,5,7)

C) {x|x= -9,-5, 4, -3, -2, 0,2 5,7}

D) {yly = -9, -5, -4 -3 -2,0, 2, 5, 7}

The mean is calculated by adding up all the numbers in the data set and dividing by the total number of values. In this case, the sum of the numbers is 105 and there are 16 values, so the mean is 6.56 cups of coffee per week on average.

To find the median, we need to arrange the numbers in order from smallest to largest. The ordered list is: 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 36. The median is the middle value, which is 6.

In this case, the median is a better measure of central tendency because the data set includes an outlier value of 36 cups per week. This single value skews the mean and makes it less representative of the majority of employees' coffee consumption. The median, on the other hand, is not affected by outliers and represents the middle value in the data set, which is more reflective of the typical coffee consumption for this office.

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Answer:

right triangle

Step-by-step explanation:

because 15 would be the base so 11 and 12 would be the sides and fot the triangle to be acute or obtuse the total of the sides (11+12) has to be lass than the base (15), but it is more 23 so it has to be a right triangle.

Answer: 3x5=15

The statement "For all integers a, b, and c, if a|bc then a|b or a|c" is false, as it does not hold true for all possible choices of a, b, and c. One counterexample to this statement is (a, b, c) = (2, 3, 4).

Here, a = 2, b = 3, and c = 4.

a|bc means "a divides bc", which is true in this case since 2 divides the product of 3 and 4. However, 2 does not divide either b or c individually, so a does not divide b or c. Therefore, the statement "if a|bc then a|b or a|c" is false for this particular choice of (a, b, c).

This counterexample shows that the statement is not true for all possible choices of a, b, and c, and therefore the statement is false. It is important to note that finding a single counterexample is enough to prove the statement false.

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Answer:

196808.5106

Step-by-step explanation:

the seller will take 94% from the selling price and pay 6% to the commission, and he wants to take 185000 dollars

let the price = x

then x * 94% = 185000

Solving for x you get the answer

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

x = 34

Step-by-step explanation:

The sum of the three angles is 180 since they make a straight line

x+12 + 100 +x = 180

Combine like terms

2x+112=180

Subtract 112 from each side

2x+112-112= 180-112

2x = 68

Divide by 2

2x/2 =68/2

x = 34

Answer: x=34

Step-by-step explanation:

False. Type I and Type II errors can still exist even when the sample size is more than 1000.

Type I error refers to rejecting a true null hypothesis, while Type II error refers to failing to reject a false null hypothesis. The existence of these errors is independent of the sample size.

The probability of making Type I and Type II errors can be influenced by factors such as the significance level, power of the test, and the effect size, but they can still occur regardless of the sample size.

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Answer:

5 hours and 30 minutes

Step-by-step explanation:

Convert all fractions to decimals for easier division

9 and 5/8 = 9.625

1 and 3/4 = 1.75

Then divide 9.625 by 1.75 to get the hours amount

9.625 / 1.75 = 5.5

0.5 of an hour is 30 minutes, so the final answer is 5 hours and 30 minutes

Answer:

5.5 hours

Step-by-step explanation:

9.625/1.75=5.5hr

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}\)

Step-by-step explanation:

\( \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}\)

\( \tt{Step \: 1 \: }\) : Do cross multiplication

\( \hookrightarrow{ \sf{3 + k = 4 \times 14}}\)

\( \tt{Step \: 2}\) : Multiply the numbers : 4 and 14

\( \hookrightarrow{ \sf{3 + k = 56}}\)

\( \tt{Step \: 3 \: }\) Move 3 to right hand side and change it's sign

\( \hookrightarrow{ \sf{k = 56 - 3}}\)

\( \tt{Step \: 4 \: }\) Subtract 3 from 56

\( \hookrightarrow{ \sf{k = 53}}\)

The value of k is 53

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

k/14 + 3 = 4

k/14 = 1

k = 14

A. Amplitude: 4,  Asymptotes: None,  Complete Period:  \(\(\frac{2\pi}{5}\)\),  Period: \(\(2\pi/5\)\),  Phase Shift:  \(\(\frac{\pi}{5}\)\).
B. Amplitude: 1, Asymptotes:  \(\(x=\frac{\pi}{2}+\frac{2\pi}{3}n\)\), Complete Period:  \(\frac{2\pi}{3}\)\),     Period:  \(\(2\pi/3\)\),  Phase Shift: \(\(\frac{\pi}{6}\)\).

To find the amplitude, asymptotes, complete period, period, and phase shift for each of the given trigonometric functions, we need to use the standard form of the trigonometric functions:\(\[f(x)=A\sin(Bx+C)+D\]\) and \(\[g(x)=A\sec(Bx+C)+D\]\)

For function f(x), we have:
A = 4, B = 5, C = -π, and D = 0

The amplitude is |A| = |4| = 4

The period is  \(\(\frac{2\pi}{|B|}\) = \(\frac{2\pi}{5}\)\)

The phase shift is \(\(-\frac{C}{B}\) = \(-\frac{-\pi}{5}\) = \(\frac{\pi}{5}\)\)

There are no asymptotes for the sine function.

For function g(x), we have:
A = -1, B = 3, C = -π/2, and D = 0

The amplitude is |A| = |-1| = 1

The period is \(\(\frac{2\pi}{|B|}\) = \(\frac{2\pi}{3}\)\)

The phase shift is \(\(-\frac{C}{B}\) = \(-\frac{-\pi/2}{3}\) = \(\frac{\pi}{6}\)\)

The asymptotes occur when the cosine function is equal to zero, so the asymptotes are at  \(\(x=\frac{\pi}{2}+\frac{2\pi}{3}n\)\) , where n is an integer.

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The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

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a. The rank of matrix A is 2.

b) The bases for the row space, column space, and null space of matrix A are: Row space basis: {[1 0 -1/10]} Column space basis: {[1 -20]}

Null space basis: {[1 0 -1/10]}

c) Geometrically, the row space represents a line in three-dimensional space, while the null space represents a plane. The row space is spanned by the vector [1 0 -1/10], and the null space consists of vectors of the form [t -20t t/10], where t is a scalar.

a) To find the rank of matrix A, we perform row operations to bring A to row-echelon form or reduced row-echelon form. In this case, the row-echelon form of A is [1 0 -1/10]. Since there are two non-zero rows, the rank of A is 2.

b) The basis for the row space can be determined by identifying the non-zero rows in the row-echelon form of A. In this case, the basis for the row space is {[1 0 -1/10]}. The basis for the column space can be obtained by taking the columns corresponding to the leading 1's in the row-echelon form. Therefore, the basis for the column space is {[1 -20]}.

The null space can be found by solving the system of equations Ax = 0, where x is a vector. For matrix A, the null space can be expressed as the set of all vectors of the form [t -20t t/10], where t is a scalar. Therefore, the basis for the null space is {[1 0 -1/10]}.

c) The row space and null space are orthogonal subspaces. Geometrically, the row space represents the subspace spanned by the rows of the matrix, which in this case is a line in three-dimensional space.

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The histogram of the sale price of houses appears to be skewed to the right, indicating that the majority of sale prices are located on the lower end of the price range. The majority of sale prices seem to be located between $100,000 and $400,000, with very few sale prices above $600,000.

An exponential distribution would not be a reasonable fit for the sale price of homes because it assumes a continuous variable with a constant rate of change. The sale price of homes is not a continuous variable, as it is determined by factors such as location, condition, and size. A normal distribution could potentially be a reasonable fit if the data was centered around a mean and did not have any significant outliers. However, as the histogram shows a skewed distribution, a gamma distribution may be a more appropriate fit as it allows for skewness in the data.

The scatterplot of first floor area vs. sale price shows a positive relationship between the two variables. As the first floor area increases, the sale price tends to increase as well. However, there appears to be a lot of variability in the sale price as the area increases. This suggests that other factors may be influencing the sale price of homes, in addition to the size of the first floor area.

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Answer:

When x=1, y=4 (1,4)

Step-by-step explanation:

The question that can be answered by finding 4 1/2 ÷ 1/4 is this:

C. You are buying 1/4 pound containers of fruits at the store. How many containers do you need to buy to have 4 1/2 pounds of fruit?

The expression that is best represented by the question is statement C. Here, we are told to find how many containers we need to buy 4 1/2 pounds of fruit.

Let's assign the figure x to the number of containers we are to find. So,

1/4x = 4 1/2

Divide both sides by 1/4 to find x

x = 4 1/2 ÷ 1/4

Option C is the right answer.

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To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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Answer:

4

Step-by-step explanation:

Answer:

Viruses are made of DNA and proteins, but not cells.

Step-by-step explanation:

It can infect a host cell, but the virus itself is not made up of cells. Cells are the basic structures of all living organisms.

Answer:

b = 17    t = 12

Step-by-step explanation:

5b = 85

5b/5 = 85/5

b = 17

t/3 = 4

t/3 x 3 = 4 x 3

t = 12

The amount of salt in the tank after 10 minutes is 4.5 lbs.

The initial amount of salt in the tank is 100 * 0.05 = 5 lbs.

The amount of salt that leaves the tank each minute is 2 * 0.05 = 0.1 lbs.

The amount of salt that enters the tank each minute is 0 lbs.

Therefore, the net amount of salt in the tank is decreasing by 0.1 lbs per minute.

If we let t be the number of minutes, then the amount of salt in the tank at time t is given by

salt = 5 - 0.1t

To find the amount of salt in the tank after 10 minutes, we can set t = 10 and evaluate the expression. This gives us

salt = 5 - 0.1 * 10 = 4.5 lbs

Therefore, the amount of salt in the tank after 10 minutes is 4.5 lbs.

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Answer:

(8-w)-10

so -w-2

if w is a variable... sorry this answer is just for reference

Step-by-step explanation:

the temperature of the mixture will be 60°

2 and 59.

If you picked any prime number greater than 2 (and less than 61), then that prime number is odd.  And 61 - odd = even.  The only even prime is 2.  So 2 had to be one of the two numbers.