is 36.81 more than 36 or it is close to 37 than 36?

Answer:

C'nD' = {5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33}

Step-by-step explanation:

C' is the complement of C, which contains all the numbers not in C. Since C contains all the even numbers between 4 and 34, C' contains all the odd numbers between 4 and 34 and 4 and 36.

C' = {4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 36}

Similarly, D' contains all the numbers that are not in D, which are the even numbers between 5 and 33, as well as 4 and 34.

D' = {5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33}

The intersection of C' and D' contains only the numbers in both C' and D'. Therefore,

C' n D' = {5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33}

So, the elements in C' n D' are all odd numbers between 5 and 33.

I hate school guys that's all I want to say

Answer:

31542

The given identity is not true for all values of \(`x`\).

To verify the given identity when \(`x = 6π/7`\), substitute the value of \(`x`\) in the given identity.

So,

\(`cos2(x) = cos2(6π/7)`\\ `cos(2x) = cos(2 × 6π/7) \\\\ cos(12π/7)`\\Now, \\`cos(12π/7) = cos(7π − 5π/7) \\ − cos(5π/7)`\)

Using the power reducing formula,

\(`cos2(θ) = 2(1 + cos(2θ)\\ = 1 + cos(2θ)`\\So, \\`cos2(6π/7) = 1 + cos(2 × 6π/7)\\ = 1 + cos(12π/7) \\= 1 − cos(5π/7)`.\)

Hence, the given identity is verified when \(`x = 6π/7`\).

(b) Now, we need to plot the graph of \(`f(x) = cos2(x) − 2/(1 + cos(2x))`\) on the indicated domain. The given identity states that \(`f(x)`\) should be 0 for all values of \(`x`\).

We can substitute a few values of \(`x` $ in `f(x)`\) and check if we get \(`0`\) or not. If we get \(`0`\), then we can conclude that the identity holds true for all values of \(`x`\).  

However, it may be possible that we don't get \(`0`\) for some value of \(`x`\) because the function \(`f(x)`\) is undefined for some values of \(`x`\) (because of the denominator

\(`1 + cos(2x)`).\)

Therefore, we need to check the domain of the given function first. The denominator \(`1 + cos(2x)`\) should not be equal to \(`0`\).

Therefore, \(`cos(2x) ≠ −1`or `2x ≠ π`or `x ≠ π/2`\)  

So, the domain of \(`f(x)` is `R − {π/2}`\).

Now, we can check a few values of \(`x`\) to see if \(`f(x)`\) is \(`0`\) or not. If it is not \(`0`\), then we need to explain why it is not \(`0`\).

Let's check \(`x = 0`.\\`f(0) = cos2(0) − 2/(1 + cos(2 × 0))\\ = 1 − 2/(1 + 1) \\= 1/2 ≠ 0`\)

Let's check \(`x = π/4`.\\`f(π/4) = cos2(π/4) − 2/(1 + cos(2 × π/4))\\ = (1/2)2 − 2/(1 + 0) \\= 1/2 − 2 \\= −3/2 ≠ 0`\)

We can also see that the graph of \(`f(x)`\) is not symmetric about the y-axis. Therefore, the identity does not hold true for all values of \(`x`\).

Hence, the given identity is not true for all values of \(`x`\).

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Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  \(\pi\)r2

Which is 3.14*12*12=452.16

Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

The domain of h(x) is all real numbers except 0 and 7. We can express this in interval notation as (-∞,0) U (0,7) U (7,∞).

To find the domain of the function h(x) = (x - 3) / (x(x - 7)), we need to determine the values of x for which the function is defined.

Step 1: Identify any restrictions on the domain. In this case, we have a fraction with x(x - 7) in the denominator.

Step 2: Set the denominator equal to zero and solve for x to find the values where the function is undefined.
x(x - 7) = 0
x = 0 and x = 7

Step 3: The domain includes all real numbers except for the values that make the denominator zero. In interval notation, the domain of h(x) is:

(-∞, 0) ∪ (0, 7) ∪ (7, ∞)

So, the domain of the function h(x) = (x - 3) / (x(x - 7)) is (-∞, 0) ∪ (0, 7) ∪ (7, ∞).

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The form of the box is a rectangular prism, in which volume can be founded by multiplying its dimensions 3.5 cm, 6 cm, and 9 cm.

The appropriate test statistic for each problem is given as follows:

1. z-distribution: \(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

2. t-distribution: \(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

3. t-distribution: \(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

4. t-distribution: \(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

5. z-distribution: \(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The choice of which distribution to use depends if we have the sample or the population standard deviation, as follows:

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Answer:

$1.45

Step-by-step explanation:

9.25 - 2 = 7.25

7.25 ÷ 5 = 1.45

Answer:

Hey homie I had trouble with this one too, the answer is 3.67%

Step-by-step explanation:

Basically this is a combination which means your looking for P(2 favorites) which is written as (2C2)(48C8)/(50C10).

This is using factorials so if you don't know those yet I would look it up but it's just simplified as 3.67%

The point is (17/13, 169/26).

We have the equation of the line as y = 5x + 1 and a point P(1,2). We are to find the point on the line that is closest to P(1,2).

We can solve the question by using the concept of the perpendicular distance of a point from a line.

The perpendicular distance of a point (x₁, y₁) from a line Ax + By + C = 0 is given by|Ax₁ + By₁ + C|/√(A² + B²).Now, the given equation is y = 5x + 1 which can be written as 5x - y + 1 = 0. Comparing it with the standard form Ax + By + C = 0, we get A = 5, B = -1, and C = 1.

Using the formula for the perpendicular distance of a point from a line, the perpendicular distance of point P(1,2) from line y = 5x - 1 is|5(1) - 1(2) + 1|/√(5² + (-1)²)= 3/√26So, the required point lies on the line y = 5x - 1 and is at a distance of 3/√26 from P(1,2).

Now, the slope of the line y = 5x - 1 is 5. Since the point on the line closest to P(1,2) is equidistant from the line and point P, the line joining them must be perpendicular to y = 5x - 1 and pass through P(1,2).

Hence, the equation of the line joining the required point and P is(y - 2) = -1/5(x - 1)⇒ y = (-x + 7)/5This line passes through P(1,2). Now, we need to find the point on the line y = 5x - 1 that lies on this line as well. Since both lines are perpendicular, the point of intersection of both lines will give us the required point. Let the required point be Q(x, y).

Since it lies on both the lines, we have the system of equations:5x - y + 1 = 0y = (-x + 7)/5Solving the above system of equations, we get the coordinates of Q: Q(34/26, 169/26)Thus, the point on the line y = 5x - 1 that is closest to P(1,2) is Q(17/13, 169/26).

Therefore, the point is (17/13, 169/26).

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56.78% of the penguins in the population have a weight between 13.0 kg and 16.5 kg, according to the usual distribution.

Given,

The mean of the population, μ = 15.1 kg

Standard deviation, σ = 2.2 kg

We have to find the percent of the penguins from the population have a weight between 13. 0 kg and 16. 5 kg;

Here,

z score = x - μ / σ

The ratio of the p-value of Z when X = 16.5 minus the p-value of Z when X = 13 indicates the percentage of penguins in the population whose weight is between 13.0 kg and 16.5 kg.

x = 16.5

z score = x - μ / σ

z = (16.5 - 15.1) / 2.2  = 0.64

Z = 0.64 has a p-value of 0.7389.

x = 13

z score = x - μ / σ

z = (13 - 15.1) / 2.2 = -0.95

Z = -0.95 has a p-value of 0.1711.

0.7389 - 0.1711 = 0.5678.

0.5678 = 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

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Answer:

Should be 9 in.

6 soaps comparing to the other 5 = 30 different comparisons:

30 x 2,000 = 60,000

Answer: H. $60,000

The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

71 is the correct answer to your question

Answer:

Below

Step-by-step explanation:

The plane's distance is the hypotenuse of a right triangle with legs of

(50 -20)mi = 30 miles     and     30500 - 18000 = 12500 ft

                             for consistent units  12500ft/5280ft/mile = 2.36742 miles

Now just use Pythagorean theorem

Hypotenuse^2 = leg1^2 + leg2^2

               h^2    = 30^2 + 2.36742^2

                   h = ~ miles 30.093 miles  ( note that the vertical descent distance does not matter much)

    (this is 158 892 feet)

Answer:

\(k=-\frac{2}{5}\)

Step-by-step explanation:

\(k=-\frac{8}{20}=-\frac{4(2)}{4(5)}=-\frac{2}{5}\)

Answer: y = -32 and -(2/5)

Step-by-step explanation:

Let z equal to the difference,

x - z = -4

20 - z = -4

20 + 4 = z

z = 24

y - z

= -8 - 24

= -32

Therefore y = -32

For the second part of the question

-8 = k(20)

-8 = k * 20

-8/20 = k <-- Divide both sides by 20

Therefore k = -(8/20) = -(2/5)

Using the binomial distribution, it is found that there is a 0.037 = 3.7% probability that Adina's friend correctly identifies each of the 3 cups of water.

For each water, there are only two possible outcomes, either it is correctly identified, or it is not. The probability of a water being correctly identified is independent of any other water, hence the binomial distribution is used to solve this question.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that each of the 3 cups is correctly identified is P(X = 3), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.3333)^{3}.(0.6667)^{0} = 0.037\)

0.037 = 3.7% probability that Adina's friend correctly identifies each of the 3 cups of water.

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Answer:

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground.  Imagine it like two points on a graph.  One is at the origin (0,0).  That represents the bottom of the ladder.  The next one is at (80,15), which represents where the top is.  To find slope, we divide rise (y-values) over the run (x-values).  The y value increases by 80, while the x increases by 15.  80 divided by 15 equals about 5.3

Answer:

(x,y)=(-5,5)

Step-by-step explanation:

\(10x + 8y = -10\\\underline{7x + 10y = 15}\\-44y=-220\\y=\cfrac{220}{44} \\y=5\)

\(10x+8y=-10\\10x+8\times 5=-10\\10x+40=-10\\102=-10-40\\10x=-50\\x=-50/10\\x=-5\)

Hope it helps!

Answer:

13mn

Step-by-step explanation:

(10mn-5m+3n)+(mn-5m-3n)+(mn+9m+4n)

8mn+(-8mn)+13mn

=13mn

that's the answer I think

Answer:

The common ratio is 1/2

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

8/16 = 1/2

We can check by the third term by the second term

4/8 = 1/2

Answer:

1/2 for APX

Step-by-step explanation:

Answer:

x≥-16

Step-by-step explanation:

-3/4x≤12

Multiply each side by -4/3, remembering to flip the inequality

-4/3 *-3/4x≥ -4/3 *12

x≥-16

Answer: x ≥ -16

Step-by-step explanation:

Divide both sides by -3/4 to get x alone.

When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.

-3/4x ≤ 12

Divide both sides by -3/4:

x ≥ -16

Hope this helps!

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??