A pair of complementary angles are 2x - 9 and 6x - 27. find the value of 'x'. round your answer to the nearest tenth (one decimal place).

Answer:

The tax would be $54.80 !

Step-by-step explanation:

To do the problem you have to cross multiply and divide.

\(\frac{x}{685} = \frac{8}{100}\)

685 x 8 = 5480

5480 / 100 = 54.8

Answer:

\(=7x^2+8\)

Step-by-step explanation:

\(5x^2+x^2+2+x^2+6\)

\(=5x^2+x^2+x^2+2+6\)

\(=5x^2+x^2+x^2+8\)

\(=7x^2+8\)

Brainliest?!

The expected value of the mean of the 64 randomly selected students, M, is 0.794 percent correct

Since the sample size is relatively large (n=64) and the population standard deviation is known, we can use the Central Limit Theorem to approximate the distribution of sample means as normal with a mean equal to the population mean (µ) and a standard error equal to the population standard deviation divided by the square root of the sample size (σ/√n).

Thus, the expected value of the mean of the 64 randomly selected students, M, is:

E(M) = µ = 0.794 percent correct

Therefore, the expected value of the mean is 0.794 percent correct

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The given question is incomplete, the complete question is:

A professor of cognitive psychology is interested in the percent accuracy on this memory encoding task among college students. She measures the percent accuracy for 64 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average percent accuracy on this memory encoding task among college students is 0.794 percent correct with a standard deviation of 0.1110 percent correct. The expected value of the mean of the 64 randomly selected students, M, is___ (Note: use mean and/or standard deviation just given to calculate the expected value of M.)

Answer:

Step-by-step explanation:

it is 2x

Answer:

150 plz brainliest

Step-by-step explanation:

10^4 = 10000

10000 (4.5) = 45,000

45,000/300 = 150

Answer:

2.375 inches

Step-by-step explanation:

Main Steps

1. Identifying important parts of the question

2. Solving the problem

Step 1. - Identifying important parts of the question

In the question, there is some extraneous information.  For instance, the question introduces the terms "diameter" and "loaded in shear" and "with a safety factor of 1.5".  However, given the information in the problem, and the question asked, it isn't necessary to know that it is "loaded in shear" means, or to know what a diameter is (since everything stays with diameters, and doesn't involve another dimension), and the problem gives the result that will satisfy "a safety factor of 1.5".

Sifting through the problem/question, these are the important parts:

- "to the nearest 1/8 inch" (meaning round to the nearest 1/8th of a unit)

- with "units of inches to 3 decimal places"

- The number to round is "2.4183 inches

Step 2. - Solving the Problem

To round to the nearest 1/8 inch, we can divide the number 2.4183 by 1/8.  

\(2.4183 \div(1/8)\)

Recall that dividing by a fraction is the same as multiplying by the reciprocal

\(2.4183 * 8\)

19.3464

So, there are approximately 19, one-eighth-inches in the measurement.  (Note that 19.3464 is closer to 19 than it is to 20).  To find the final rounded measurement, multiply 19 by 1/8

\(19 * (1/8)\)

2.375 inches

So, the diameter of the bolt that should be used (if rounded to the nearest 1/8 inch, to allow for a factor of safety of 1.5) is 2.375 inches

As of December 31, 20XX, the balance sheet shows that the ending balance of raw materials is $76,000, the ending balance of work-in-process inventory is $52,600, and the ending balance of finished goods is $52,600.

In order to solve this problem, we need to follow a few steps. The steps are as follows:

1. Calculate the raw material transferred to work in process by multiplying the raw material purchases with the percentage transferred to the work in process.

2. Calculate the cost of goods manufactured (COGM) by adding the costs of raw material transferred to the work in process, direct labor, and overhead, and then subtracting the total depreciation.

3. Calculate the cost of goods sold (COGS) by multiplying the cost of goods manufactured with the percentage of finished goods that is sold.

4. Calculate the ending balance of raw materials by subtracting the COGM from the sum of raw material purchases and the beginning balance of raw materials.

5. Calculate the ending balance of work-in-process inventory by subtracting the COGS from the COGM.

6. Calculate the ending balance of finished goods by subtracting the COGS from the sum of the beginning balance of finished goods and the cost of goods manufactured.

Now, let's use the above method to solve the given problem.

Balance sheet for raw material purchases, transferred to work in process, direct labor, overhead, total depreciation, inventory production, and SG&A are given.

- Raw material purchases: $100,000

- Percentage of raw material purchases transferred to work in process: 50%

- Direct labor: $200,000

- Overhead: $300,000

- Total depreciation: $30,000, of which 80% is for inventory production and 20% for SG&A

- Work in process completed: 70%

- Finished goods that is sold: 90%

As of December 31, 20XX, we need to calculate how much raw materials are left on the balance sheet, how much work-in-process inventory is left on the balance sheet, and how much finished goods are left on the balance sheet. The problem is solved below.

1. Calculate the raw material transferred to work in process:

  Raw material transferred to work in process = 50% of $100,000

  = 0.50 × $100,000

  = $50,000

2. Calculate the cost of goods manufactured (COGM):

  Raw material purchases transferred to work in process = $50,000

  Direct labor = $200,000

  Overhead = $300,000

  Total depreciation = $30,000, of which 80% is for inventory production and 20% for SG&A

  COGM = ($50,000 + $200,000 + $300,000) - (80% × $30,000)

       = $50,000 + $200,000 + $300,000 - $24,000

       = $526,000

3. Calculate the cost of goods sold (COGS):

  COGS = 90% × $526,000

       = 0.90 × $526,000

       = $473,400

4. Calculate the ending balance of raw materials:

  Beginning balance of raw materials = $0

  Raw material purchases = $100,000

  Raw material transferred to work in process = $50,000

  COGM = $526,000

  Ending balance of raw materials = ($100,000 + $0) - $526,000 + $50,000

                              = $76,000

5. Calculate the ending balance of work-in-process inventory:

  Beginning balance of work-in-process inventory = $0

  COGM = $526,000

  COGS = $473,400

  Ending balance of work-in-process inventory = $526,000 - $473,400 + $0

                                             = $52,600

6. Calculate the ending balance of finished goods:

  Beginning balance of finished goods = $0

  COGM = $526,000

  COGS = $473,400

  Ending balance of finished goods = ($0 + $526,000) - $473,400

                                  = $52,600

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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2467 rolls of Angel Soft MEGA toilet paper can fit into the Closet space.

The volume of the closet space, we multiply the length, width, and height of the closet. Given that the dimensions of the closet are:

Length = 48 inches

Width = 48 inches

Height = 84 inches

Volume of the closet = Length * Width * Height

Volume = 48 * 48 * 84 = 193,536 cubic inches

The volume of the closet space is 193,536 cubic inches.

To calculate the volume of one roll of toilet paper, we use the formula for the volume of a cylinder. Given that the diameter of the roll is 5 inches and the height is 4 inches, the formula for the volume of a cylinder is:

Volume = π * (radius)^2 * height

The radius of the roll is half the diameter, so the radius is 5/2 = 2.5 inches.

Volume of one roll = 3.14 * (2.5)^2 * 4 = 78.5 cubic inches

The volume of one roll of Angel Soft MEGA toilet paper is 78.5 cubic inches.

the number of rolls that can fit into the closet space, we divide the volume of the closet space by the volume of one roll.

Number of rolls = Volume of closet space / Volume of one roll

Number of rolls = 193,536 / 78.5

Number of rolls ≈ 2467

2467 rolls of Angel Soft MEGA toilet paper can fit into the given closet space.

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The missing term in the equation is n = -2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the missing term be represented as n

-2x + 18 = nx + 18

Subtracting 18 on both sides of the equation , we get

-2x = nx

Divide by x on both sides of the equation , we get

n = -2

Therefore , the missing term is n = -2

Hence , the equation is n = -2

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Answer:

6

Step-by-step explanation:

24/6 = 4

36/6 = 6

6 bags, 4 lollipops and 6 pieces of gum in each bag.

Answer:

12 bags

Step-by-step explanation:

You would need to find the GCF of both numbers: 12

24*12 = 2

38*12 = 4

12 bags with 2 lollipops and 4 pieces of gum in each

The solution to the given differential equation, x²y'' + xy' - y = ln(x), using variation of parameters is: y(x) = C₁x + C₂x ln(x) + x ln²(x)/2,

where C₁ and C₂ are constants.

To solve the differential equation using variation of parameters, we first find the solutions to the homogeneous equation x²y'' + xy' - y = 0. Let's denote these solutions as y₁(x) and y₂(x).

Next, we find the Wronskian W(x) = y₁(x)y₂'(x) - y₁'(x)y₂(x) and calculate the integrating factors u₁(x) = -∫(y₂(x)ln(x))/W(x) dx and u₂(x) = ∫(y₁(x)ln(x))/W(x) dx.

Using these integrating factors, we can determine the particular solution yₚ(x) = -y₁(x)∫(y₂(x)ln(x))/W(x) dx + y₂(x)∫(y₁(x)ln(x))/W(x) dx.

Finally, the general solution is given by y(x) = yₕ(x) + yₚ(x), where yₕ(x) is the general solution to the homogeneous equation.

Solving the homogeneous equation x²y'' + xy' - y = 0 gives the solutions y₁(x) = x and y₂(x) = x ln(x).

After calculating the Wronskian W(x) = x² ln(x), we obtain the integrating factors u₁(x) = -ln(x)/2 and u₂(x) = -x/2.

Plugging these values into the particular solution formula, we find yₚ(x) = C₁x + C₂x ln(x) + x ln²(x)/2.

Hence, the general solution is y(x) = C₁x + C₂x ln(x) + x ln²(x)/2, where C₁ and C₂ are arbitrary constants.

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The sample space is 4845.Therefore, option C is correct.

Given: The mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.

Solution: We have a sample size of 4 wards out of a total of 20 wards. The mayor has chosen all the voters in those 4 wards. So, the sampling method used here is stratified sampling as the mayor chose the voters of specific 4 wards.

Sample space = Total number of ways to select 4 wards out of 20 wards= C(20,4) = 20!/(4!(20 - 4)!) = 4845

Hence, the sample space is 4845.Therefore, option C is correct.

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Answer:

\(x=17.3\)

Step-by-step explanation:

Given the following question:

\(x+23.4=40.7\)

To solve, we need to understand that this is a simple one-step equation and all we have to do to find the answer is subtract 23.4 on both sides.

\(x+23.4=40.7\)
\(23.4-23.4=0\)
\(40.7-23.4=17.3\)
\(x=17.3\)

Hope this helps.

The dimensions of the pens enclosing the largest area are 105 feet x 210 feet.  

Let 'w' be the width of the pen and 'l' be the length of the pen (perpendicular to the river). We know there is a 420-foot fence that can be used to build the 3 sides of the enclosure.

2w + l = 420

Maximize the area of ​​the pen given by the formula:

A = lw

You can solve l in terms of w using the equation 2w + l = 420.

l = 420 - 2w

Substituting this formula for l gives:

\(A = w(420 - 2w) = -2w^2 + 420w\)

To find the maximum area, take the derivative of A with respect to w and set it to 0.

dA/dw = -4w + 420 = 0

Solving for w gives:

w = 105

Substituting this value of w into the formula for l yields:

l = 420 - 2w = 210

Therefore, the dimensions of the pens enclosing the largest area are 105 feet x 210 feet.

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Answer:

Step-by-step explanation:

Question 1

System of equations is,

y = -6x -------(1)

y = -4x - 2 ---------(2)

Substitute the value of y from equation (1) to equation (2)

-6x = -4x - 2

-6x + 4x = -2

-2x = -2

x = 1

From equation (1)

y = -6(1)

y = -6

Question (2)

System of equations is,

-y = x --------(1)

3x + 5y = 20 ---------(2)

Substitute the value of x from equation (1) to equation (2)

3(-y) + 5y = 20

-3y + 5y = 20

2y = 20

y = 10

From equation (1)

-y = x

x = -10

Question (3)

System of the equations is,

y = -2x - 7 --------(1)

9x - 10y = 12 ----------(2)

Substitute the value of y from equation (1) to equation (2)

9x - 10(-2x - 7) = 12

9x + 20x + 70 = 12

29x = 12 - 70

29x = -58

x = -2

From equation (1)

y = -2(-2) - 7

y = 4 - 7

y = -3

Cases (iii) and (iv) are left as exercises, meaning the proof for those cases is not provided in the given information. To fully establish the Characterization Theorem, the proof for these remaining cases needs to be completed.

Theorem 2.5.1 (Characterization Theorem):

If S is a subset of R that contains at least two points and has the property that if x, y ES and x < y, then (x, y)C S, then S is an interval.Proof.

There are four cases to consider:

(i) S is bounded,

(ii) S is bounded above but not below,

(iii) S is bounded below but not above, and

(iv) S is neither bounded above nor below.

Case (i): Let a = inf S and b = sup S.

Then SC[a, b] and we will show that (a, b)C S. If a < z < b, then there exist x, y

ES such that x < z < y. Since x < y and S has property (1), we have (x, y)C S.

Since zEP(x, y), it follows that zES.

Thus (a, b)C S.

Now if a S and b S, then S =[a, b].

If a S and b S, then S=(a, b).

The other possibilities lead to either S = (a, b) or S = [a, b].

Case (ii): Let b = sup S.

Then SC (-[infinity]o, b] and we will show that (-oo, b)C S. For, if z < b, then there exists y

ES such that z < y < b.

Since b is the least upper bound of S and yES, it follows that y 6S. But then (z, y)C (-oo, b) and (z, y)C S.

Thus (-oo, b)C S. Now if S contains its smallest element a, then S = [a, b]. Otherwise, S=(a, b).

Cases (iii) and (iv) are left as exercises.

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From the normal distribution it is calculated that 9.18% of people has an iq over 120.

Normal distributions are crucial to statistics because they are widely used in the natural and social sciences to represent real-valued regressors with unknown distributions.

We have to find P( X > 120 )

Thus find z score for  x =120

\(z=\frac{x-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=1.33\)

Thus we get:

P(X>120) = P(Z>1.33)

P(X>120) = 1 - P(Z<1.33)

P( Z < 2.67) = 0.9082

Thus

P(X>140) = 1 - P(Z<2.67)

P(X>140) = 1 - 0.9082

P(X>140) = 0.0918

Percentage = 9.18%

Therefore 9.18% of people has an iq over 120.

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Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

In ΔDEF, the measure of angle D = 38.4°

Here in triangle DEF the measure of angle F = 90°

This means that ΔDEF is a right triangle and DE is the hypotenuse.

We need to find the measure of angle D.

Consider the tangent of angle D.

tan(D) = opposite side/ adjacent side

tan(D) = EF / FD

Here, EF = 2.3 feet, and FD = 2.9 feet.

So above equation becomes,

tan(D) = 2.3 / 2.9

tan(D) = 0.79310

D = arctan(0.7931)

D = 38.42°

Therefore, the measure of ∠D = 38.4°

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Answer:

Step-by-step explanation:

We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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Answer: 20

Step-by-step explanation: Opposite sides of a parallelogram are congruent

Answer:

1. x = 15

2. y = 2/3x - 1

Step-by-step explanation:

Answer:

the first one is correct and the second one is where you set them equal to 180 and slove for x and the third one is you set that equal to 180.

Step-by-step explanation:

To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

Answer:

4c+2d+10

Step-by-step explanation:

7+4c+2d+3

4c+2d+(3+7)

4c+2d+10

Answer: 4c+2d+10

Step-by-step explanation:

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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