Integrate this y=2x In(x²) at point x=3​

Answer:

The total number of numbers = 125

Answer:  x = -15

Hope this helps :)

Answer:

x = -15

Step-by-step explanation:

[One step multiplication problem]

When solving a one-step multiplication problem the easiest thing to do would be to divide the 'answer' (in this case, 45) by the coefficient (in this case, -3). A negative number times a negative number is a positive number, so x would be a negative number. 45 divided by -3 is -15.

So, x = 15.

Hope this helped!! <3

Answer: The width of the rectangle is 9 feet and the length is 18 feet.

Step-by-step explanation:

Let's use algebra to solve the problem.

Let w be the width of the rectangle in feet. Then, the length of the rectangle is 9 feet longer than its width, so the length is w + 9 feet. The area of the rectangle is the product of its length and width, so:

Area = (w + 9)w = w^2 + 9w

If each side of the rectangle is increased by 9 feet, then the new width is w + 9 feet and the new length is (w + 9) + 9 = w + 18 feet. The new area is 3 times the original area, so:

3(Area) = 3(w^2 + 9w)

We can set these two expressions for the area equal to each other and solve for w:

w^2 + 9w = 3w^2 + 27w

2w^2 - 18w = 0

2w(w - 9) = 0

w = 0 (extraneous solution) or w = 9

Since w cannot be 0, the width of the rectangle is 9 feet. The length is 9 feet longer than the width, so the length is w + 9 = 18 feet.

To check our answer, we can calculate the original area:

Area = 9 × 18 = 162 square feet

If we increase each side by 9 feet, the new area should be 3 times this amount:

(9 + 18) × (18 + 9) = 27 × 27 = 729 square feet

729 ÷ 162 = 3, so the new area is indeed 3 times the original area.

Therefore, the width of the rectangle is 9 feet and the length is 18 feet.

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Answer:

B, 2I + 3 = 39

Step-by-step explanation:

work backwards first, so 39 minus 3 is 36, divided by two is 13.

The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

Given the poll showed that 53.6% of Americans say they believe that some psychics can help solve murder cases.

We are to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.

Let us consider the following events:

Let A be the event that someone believes that some psychics can help solve murder cases and B be the event that someone does not believe that some psychics can help solve murder cases.

Then A and B are complementary events, that is A∩B=∅ (i.e., the events cannot happen at the same time) and A∪B = S (the event space).

Thus we can write P(A) = 53.6% and P(B) = 100% - 53.6% = 46.4%.

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

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Answer: Congruent triangles have congruent corresponding sides.

(Note): This is not the correct answer..This is an Example. :)

Step-by-step explanation: part a) draw two triangles, translating one of them to the right.

part b) Consider triangles ΔYXB and ΔYZA. In these triangles:

∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);

∠YXB≅∠YZA (given);

XY≅ZY (given).

Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.

ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

Hope This Was helpful..

Answer:

You could use the ASA theorem to prove that the congruent angles and side are congruent. Or you could use CPCTC which is Corresponding parts of congruent triangles are congruent. By using these two theorems you could prove that these triangles are congruent and not similar.

Step-by-step explanation:

The monopolist's marginal revenue from selling the 11th sweatshirt is $25.Marginal revenue is the change in total revenue that results from selling an additional unit of a product

In this case, the monopolist initially sells ten sweatshirts at a price of $40, resulting in a total revenue of 10 x $40 = $400.

To sell the 11th sweatshirt, the firm must lower the price to $35. This means that the revenue from selling the 11th sweatshirt is $35. However, it's important to note that reducing the price for the 11th sweatshirt affects the price and quantity demanded for all previous units as well. So, the marginal revenue from selling the 11th sweatshirt is not simply $35.

To determine the marginal revenue, we need to compare the total revenue before and after selling the 11th sweatshirt. Before selling the 11th sweatshirt, the total revenue was $400. After selling the 11th sweatshirt, the total revenue becomes 11 x $35 = $385. The change in total revenue is $385 - $400 = -$15.

Therefore, the marginal revenue from selling the 11th sweatshirt is -$15, indicating that the revenue decreased by $15 when the 11th sweatshirt was sold. However, since marginal revenue is typically defined as a positive value, we take the absolute value, which is $15, to represent the marginal revenue from selling the 11th sweatshirt.

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Answer:

4x - 2

Step-by-step explanation:

Just subtract 8 from 6.

Answer:

= 4 x -2

= 2 (2x -1 )

Step-by-step explanation:

by using BAdmass rule okay

The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.

Thus,

b + 3 + 6c         - Yes

-30 - 24z           - No

27n + 66p         - Yes

36 - 9j + 6k       - Yes

From the question, we are to determine if 3 is the greatest common factor of the given expressions

b + 3 + 6c

3(b + 1 + 2c)

The greatest common factor is 3

-30 - 24z

6(-5 -4z)

The greatest common factor is not 3. The greatest common factor is 6

27n + 66p

3(9n + 22p)

The greatest common factor is 3

36 - 9j + 6k

3(12 - 3j + 2k)

Thus, The greatest common factor is 3

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The equation that passes through the given points is the 3 option which is y = -3/2 x + 5

A x + B y = C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x + 3y = 5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y). An algebraic equation with simply a constant and a first-order (linear) term, such as y = mx +b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Ax + b = 0, where a and b are two integers, and x is a variable, is an example of a linear equation with one variable. This equation has only one solution. 2x + 3 = 8, for instance.

According to the given points

x = -1

So

y = (-3/2)(-1) + 5

y = 6.5

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In a single elimination tournament, a team plays until it loses. Therefore, for a tournament with 8 teams, 7 games must be played. The number of games in a single elimination tournament equals the number of teams minus 1.

The appropriate family of distributions to approximate the probability of rolling a 6 on a fair die is the discrete uniform distribution, which assumes equal probabilities for each outcome. In this case, the probability of rolling a 6 would be approximately 1/6 based on the assumption of fairness.

For the problem of approximating the probability of rolling a 6 on a fair die, an appropriate family of distributions to consider is the discrete uniform distribution.

The discrete uniform distribution is commonly used to model situations where each outcome has an equal probability of occurring. In the case of rolling a fair die, the die has six equally likely outcomes (numbers 1 to 6).

Each outcome has a probability of 1/6 of occurring, making the discrete uniform distribution a suitable choice.

By assuming a discrete uniform distribution, we can assign equal probabilities to each outcome (1/6 for rolling a 6) and approximate the probability of rolling a 6 based on the assumption of fairness.

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The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

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Answer: 0.25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

multiply by the recipricol

3x 4/3

3's cancel eachother out

answer is 4

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

See below

Step-by-step explanation:

A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.

When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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Answer:

the 1st pizza is the better deal

Step-by-step explanation:

The answer is : A = 162 - 81√2, which represents the surface area of the part of the sphere above the cone.

To find the surface area of the part of the sphere x^2 + y^2 + z^2 = 81 that lies above the cone z = √(x^2 + y^2), we can use the parametric equations for the sphere in spherical coordinates. Let r = 9 be the radius of the sphere. The parametric equations for the sphere are: x = r * sin(u) * cos(v) ; y = r * sin(u) * sin(v); z = r * cos(u). We are given the limits of u and v as 0 ≤ u ≤ 2 and 0 ≤ v ≤ π/4. To find the surface area, we calculate the partial derivatives of the parametric equations: ∂x/∂u = 9 * cos(u) * cos(v)  = -9 * sin(u) * sin(v)  = 9 * cos(u) * sin(v) = 9 * sin(u) * cos(v) = -9 * sin(u)  = 0.

Using the formula for the surface area in spherical coordinates, A = ∫∫r^2 sin(u) dudv, we can evaluate the integral over the given limits. Integrating A with respect to u and v over the given limits yields: A = ∫[0,π/4]∫[0,2](81 * sin^2(u) * cos^2(v) + 81 * sin^2(u) * sin^2(v) + 81 * cos^2(u)) dudv. Evaluating this integral gives A = 162 - 81√2, which represents the surface area of the part of the sphere above the cone.

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The volume of the composite shape is 38mm³(nearest whole number)

A composite shape can be defines as a shape created with two or more basic shapes. We often refer to composite shapes as compound and complex shapes.

The volume of a the composite solid above = volume of cone + volume of cylinder

volume of cone = 1/3πr²h

=1/3×3.14×2²×3

= 12.56mm³

volume of the cylinder = πr²h

= 3.14×2²×2

= 25.12mm³

therefore the volume of the shape = 12.56+25.12

= 37.68mm³

= 38mm³( nearest whole number)

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A multistep income statement is a kind of statement of earnings that separates a business's revenue and expenses into multiple categories to help calculate gross profit and net income more precisely. Grice Incorporated's 2011 multistep income statement is shown below:

Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2011Sales Revenue $275,000Cost of Goods Sold: Beginning Inventory $0Add: Purchases $200,000. Goods Available for Sale $200,000Less: Ending Inventory $0Cost of Goods Sold $200,000Gross Profit $75,000. Operating Expenses: Selling Expenses $16,000Administrative Expenses $36,000Total Operating Expenses $52,000Income from Operations $23,000Other Income $95,000Net Income $118,000b.

The 2012 multistep income statement for Grice Incorporated is prepared based on the assumption that normal operating activities grow evenly by 10%. The statement is shown below:

Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2012Sales Revenue $302,500Cost of Goods Sold: Beginning Inventory $0Add: Purchases $220,000Goods Available for Sale $220,000Less: Ending Inventory $0Cost of Goods Sold $220,000Gross Profit $82,500Operating Expenses: Selling Expenses $17,600Administrative Expenses $39,600Total Operating Expenses $57,200Income from Operations $25,300Other Income $0Net Income $25,300c.

The percentage change in net income between 2011 and 2012 is calculated as follows:

Change in Net Income = (Net Income 2012 - Net Income 2011) / Net Income 2011= (25,300 - 118,000) / 118,000= -78.1%Therefore, the percentage change in net income between 2011 and 2012 is -78.1%.d.

No, the stockholders should not have expected the results determined in requirement "e" because the percentage change in net income between 2011 and 2012 is -78.1%. The decrease in net income was caused by the absence of extraordinary gains in 2012, which were present in 2011. However, the growth in normal operating activities had a positive impact on the company's gross profit and income from operations in 2012. Therefore, the stockholders' expectations should have been based on a comprehensive analysis of the company's financial performance in both years.

The multistep income statement helps to present the financial results of a business with more accuracy by separating revenues and expenses into multiple categories. It also assists in identifying trends and growth rates of the company. In the case of Grice Incorporated, the net income decreased by 78.1% in 2012 due to the absence of extraordinary gains in 2011, but the growth in normal operating activities had a positive impact on the gross profit and income from operations.

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The volume of solution for each solute is approximately:
A) Lithium sulfate: 0.0455 dm³
B) Magnesium sulfate: 0.0415 dm³
C) Ammonium nitrate: 0.0625 dm³

To find the volume of solution for each solute, we can use the formula:

volume of solution (in liters) = mass of solute (in grams) / molar mass of solute (in g/mol) / concentration of solution (in mol/dm³)

Let's calculate the volume of solution for each solute:

A) Lithium sulfate:
Molar mass of lithium sulfate (Li₂SO₄) = 6.94 g/mol + 32.07 g/mol + 4 * 16.00 g/mol = 109.94 g/mol

Volume of solution = 10 g / 109.94 g/mol / 2.0 mol/dm³
Volume of solution = 10 g / (109.94 g/mol * 2.0 mol/dm³)
Volume of solution = 10 g / 219.88 g/dm³
Volume of solution ≈ 0.0455 dm³

B) Magnesium sulfate:
Molar mass of magnesium sulfate (MgSO₄) = 24.31 g/mol + 32.07 g/mol + 4 * 16.00 g/mol = 120.37 g/mol

Volume of solution = 10 g / 120.37 g/mol / 2.0 mol/dm³
Volume of solution = 10 g / (120.37 g/mol * 2.0 mol/dm³)
Volume of solution = 10 g / 240.74 g/dm³
Volume of solution ≈ 0.0415 dm³

C) Ammonium nitrate:
Molar mass of ammonium nitrate (NH₄NO₃) = 14.01 g/mol + 4 * 1.01 g/mol + 14.01 g/mol + 3 * 16.00 g/mol = 80.04 g/mol

Volume of solution = 10 g / 80.04 g/mol / 2.0 mol/dm³
Volume of solution = 10 g / (80.04 g/mol * 2.0 mol/dm³)
Volume of solution = 10 g / 160.08 g/dm³
Volume of solution ≈ 0.0625 dm³

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Answer:

18

Step-by-step explanation:

4(3) -(-6)

4 times 3 is 12. When you subtract a negative number the negative number gets added so it would be 12 + 6 which is 18. Hope that helps :)

\(\boxed{x\:=\:-8 }\)

\(\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}\)

\(5x + 6 = 3x - 10\)

\(➺ \: 5x - 3x = - 10 - 6\)

\(➺ \: 2x = - 16\)

\(➺ \: x = \frac{ - 16}{2} \)

\(➺ \: x = - 8\)

\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)

\(5x + 6 = 3x - 10\)

\(➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10\)

\(➼ \: - 40 + 6 = - 24 - 10\)

\(➼ \: - 34 = - 34\)

\(➼ \: L.H.S.=R. H. S\)

Hence verified.

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}\)

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8