determine whether the set, together with the indicated operations, is a vector space. if it is not, then identify one of the vector space axioms that fails. m2,4 with the standard operations

Answer:

36°

Step-by-step explanation:

65°+79°+x° = 180° (sum of angles of triangle)

Answer:

4.5 > 4.420

0.67 < 0.8

0.82 = 0.820

62.4 > 6.24

0.13, 0.3, 0.303, 0.32

0.08, 0.8, 0.82, 8.2

24.54, 24.4, 24.304, 24.24

6.5, 6.25, 6.05, 6.007

Step-by-step explanation:

The most useful way to compare fractions is to add extra zeros at the end.

For example, 0.67 ___ 0.80.

0.80 is obviously bigger than 0.67.

In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.

24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).

**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

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Answer:(7, 8)

Step-by-step explanation:

The coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3 then the weighted average is 6

The weighted average of a variable is given by w = ∑wₙxₙ/∑w  where

wₙ = weight of variable xₙ,

xₙ = n th variable and

∑w = sum of weights

Given that the coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3, we find the weighted average

So, w = (w₁x₁ + w₂x₂)/(w₁ + w₂)

where

w₁ = 2,

x₁ = 3,

w₂ = 3 and

x₂ = 8

So, by substituting the values of the variables into the equation, we have

w = (w₁x₁ + w₂x₂)/(w₁ + w₂)

w = (2 × 3 + 3 × 8₂)/(2 + 3)

w = (6 + 24)/5

w = 30/5

w = 6

So, the weighted average is 6

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Therefore, the probability of landing on land would be higher than landing on water, with a ratio of approximately 1:3.

If you were dropped at a completely random spot on the planet, the chances of landing on land would be one in three, or approximately 33.33%. This is because approximately 71% of the Earth's surface is covered by water, while the remaining 29% is land.

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Answer:

dear hope it helps you...

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Laurent series

\((a) 1/(z + z^2) = 1/z(1 + z) = 1/z + 1/z^2 + 1/z^3 + ..\)

\((b) 1/(z + z^2) = 1/z + 1/z^2 + 1/z^3 + ... - 1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)

\((c) 1/(z + z^2) = 1/z + 1/(z+1) - 1/(z+1)^2 + 1/(z+1)^3 - ...\)

\((d) -1/(z + 1) = A/(z - (1 + i√3)/2) + B/(z - (1 - i√3)/2)\)

For the annulus 0 < |z| < 1, we can write \(1/(z + z^2)\) as 1/z(1 + z), and expand \(1/(1 + z)\)in a geometric series:

\(1/(z + z^2) = 1/z(1 + z) = 1/z + 1/z^2 + 1/z^3 + ...\)

This is a Laurent series with a principal part consisting of infinitely many terms of the form\(1/z^n,\) where n is a nonnegative integer.

(b) For the annulus 1 < |z|, we can use partial fractions to write\(1/(z + z^2) as 1/z - 1/(z + 1).\)

Expand each term using geometric series.

\(1/z = 1/(z(1 - 1/z)) = 1/z + 1/z^2 + 1/z^3 + ...\)

\(-1/(z + 1) = -1/[(z + 1)(1 - z/(z + 1))] = -1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)

Combining these expansions, we get

\(1/(z + z^2) = 1/z - 1/(z + 1) = 1/z + 1/z^2 + 1/z^3 + ... - 1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)

This is a Laurent series with a principal part consisting of infinitely many terms of the form\(1/z^n\) and \(-1/(z + 1)^n\), where n is a nonnegative integer.

For the annulus \(0 < |z + 1| < 1,\) we can write \(1/(z + z^2) as 1/z(1 + z/z+1)\), Then Expand\(1/(1 + z/z+1)\)in a geometric series:

\(1/(z + z^2) = 1/z(1 + z/z+1) = 1/z + 1/(z+1) - 1/(z+1)^2 + 1/(z+1)^3 - ...\)

This is a Laurent series with a principal part consisting of infinitely many terms of the form \(1/z^n\) and \(1/(z + 1)^n\)for even n, and\(-1/(z + 1)^n\)for odd n.

For the annulus 1 < |z + 1|, we can use partial fractions to write\(1/(z + z^2)\)as \(-1/(z + 1) + 1/(z + z^2 - z),\) where \(z^2 - z + 1 = 0\) has roots at\(z = (1 ± i√3)/2.\)

Then we can expand each term using geometric series:

\(-1/(z + 1) = -1/[(z + 1)(1 - z/(z + 1))] = -1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)

\(1/(z + z^2 - z) = 1/[(z - (1 + i√3)/2)(z - (1 - i√3)/2)] = A/(z - (1 + i√3)/2) + B/(z - (1 - i√3)/2)\)

where A and B are constants that can be found using partial fractions

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Answer:

True

Step-by-step explanation:

We know that \(tan\theta=\frac{sin\theta}{cos\theta}\), \(sin\theta<0\) in Quadrant III, and \(cos\theta<0\) in Quadrant III. Thus, x is indeed negative since \(cos\theta<0\).

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

The power rule for logarithms states that logb(M^p) = p * logb(M). The logarithm of a number with an exponent is the product of the exponent and the logarithm of that number.

The power rule states that logb(M^p) = p * logb(M), where M, b, and p are positive real numbers.

To understand this rule, let's consider an example. Suppose we have log2(8^2). According to the power rule, this is equivalent to 2 * log2(8).

In this case, M is 8, b is 2, and p is 2. The power rule tells us that we can bring the exponent (p) down and multiply it with the logarithm of the base (b) raised to the number (M).

So, log2(8^2) can be simplified as 2 * log2(8), which is 2 * 3 = 6.

In general, the power rule allows us to simplify logarithmic expressions by bringing the exponent down and multiplying it with the logarithm of the base.

This rule is particularly useful when dealing with complex logarithmic expressions and simplifying them to a more manageable form.

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Answer:

a=54 b=57 AB=246. This is the best answer ever!!!

Answer:

Step-by-step explanation:

a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically  stretched by a scale factor of 4.

Table for the corresponding points will be,

x               w(x)                  r(x)

0                0                  0×4 = 0

15              60               60×4 = 240

30             120             120×4 = 480

45             180             180×4 = 720

b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).

c). Since, w(x) = 4x

   and r(x) = 4[w(x)]

   r(x) = 4(4x) = 16x

  r(x) = 16x

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

Algebra gives the result of each of the following expressions as follows;

1) -y^2 - 2y - 4

2) 15x^2 - 19x - 8

3) 2a^3 - 9a^2 +  18a - 16

4) 24x + 64

5) (x + 3) (x - 8)

6) (x - 6) (x + 6)

The term expression refers to a mathematical statement that lacks the equality sign. Now let us answer the questions individually;

1) In order to subtract (3y2-4y+5)  from (4y2+2y-9), we must remove the brackets to have and collect like terms;

3y^2-4y+5 - 4y^2+2y-9

3y^2 - 4y^2 -4y +2y +5 -9

-y^2 - 2y - 4

2) to multiply the polynomials, we have;

(5x-8) (3x+1)

15x^2 + 5x - 24x - 8

15x^2 - 19x - 8

3) This multiplication gives;

(a-2) (2a^2-5a+8)

2a^3 - 5a^2 + 8a - 4a^2 + 10a - 16

Collecting like terms

2a^3 - 5a^2  - 4a^2 + 8a + 10a - 16

2a^3 - 9a^2 +  18a - 16

4) The product is;

(2x+8)(x+8)

2x^2 + 16x + 8x + 64

2x^2 + 24x + 64

Hence;

2x^2 + 24x + 64 - 2x^2

24x + 64

5) The expression is; x^2-5x-24

x^2 -8x + 3x - 24

x(x - 8) +3(x - 8)

(x + 3) (x - 8)

6) The expression x^2-36 represents difference of two squares hence;

x^2 - 6^2

(x - 6) (x + 6)

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The conclusion is that the sailing race was not held. This suggests that either it rained or it was foggy, as indicated by the absence of the trophy being awarded.

Based on the given hypotheses, we can infer that if it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on. Additionally, if the sailing race is held, then the trophy will be awarded. However, the trophy was not awarded.

From this information, we can conclude that the condition "if the sailing race is held, then the trophy will be awarded" did not occur. Since the trophy was not awarded, it implies that the sailing race was not held.

Now, going back to the initial hypotheses, we know that if it does not rain or if it is not foggy, then the sailing race will be held. Since the sailing race was not held (as inferred from the trophy not being awarded), it means that either it rained or it was foggy.

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The difference between the given values as a whole number is 27

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

Given the following expression

44 - 17

This can also be expressed as

44 = 40 + 4

17 = 10 + 7

Substitute

44 - 17 = (40 + 4) - (10+ 7)

Expand

44 - 17 = 40 + 4 -10 - 7

44 - 17 = 40 - 10 + 4 - 7

44 - 17 = 30 - 3

44 - 17 = 27

Hence the difference between the given values as a whole number is 27

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Step-by-step explanation:

44.10 dollars after the sales tax

Answer: $44.10

Step-by-step explanation:

So to start take $42.00 and multiply it by 5% or 0.05

when you do that you will get 2.10 that is the amount you will add to the 42.00 to see how much it will be

Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

Answer:

B

Step-by-step explanation:

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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The function is an exponential growth since it is increasing with time and k is positive

Given that at t =6, P = 167075

Then;

167075 =110.8e^6k

167075/110.8 = e^6k

1507.9 = e^6k

ln(1507.9) = 6k

k = ln(1507.9)/6

k = 1.2

Thus in the year 2020;

P = 110.8e^20(1.2)

P = 2.9 * 10^12

In the year 2025;

P = 110.8e^25(1.2)

P = 1.18 * 10^15

To reach 290,000

290,000 = 110.8e^1.2t

290000/110.8 = e^1.2t

2617.3 = e^1.2t

t = ln(2617.3 )/1.2

t = 7 years

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Answer:

$3000

Step-by-step explanation:

I = $1200, P = x, R = 8%, T = 5 years

I = PRT

100

1200 = x X 8 X 5

100

120000 = 40x

x = 120000

40

x = $3000

You deposited the principal amount of $3000 into the account, which is determined by simple interest formula.

Given:

Interest (I) = $1200

Rate (R) = 8% = 0.08 (expressed as a decimal)

Time (T) = 5 years

To find the amount of money deposited into the account, we can use the formula for simple interest:

Simple Interest (I) = Principal (P) × Rate (R) × Time (T)

Let's solve for the Principal (P):

$1200 = P × 0.08 × 5

To find P, divide both sides by (0.08 × 5):

P = $1200 / (0.08 × 5)

P = $1200 / 0.4

P = $3000

You deposited $3000 into the account.

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The value of P(X 2 62.48) is (d) 0.009.

To solve this problem, we need to standardize the random variable X by subtracting the mean and dividing by the standard deviation to obtain a standard normal variable Z.

Calculate Z-score

Look up the probability in the standard normal table or use a calculator to find the area under the standard normal curve to the right of Z.

Using a standard normal table, we can find that the area to the right of 2.9167 is approximately 0.002.

The probability of X being greater than 62.48 is equivalent to the probability of Z being greater than 2.9167, which is the standardized version of X.

We use a standard normal table or calculator to find the area under the standard normal curve to the right of Z. The answer is the probability that Z is greater than 2.9167.

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Answer:

m = 1/2

Step-by-step explanation:

\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)