what is the integral of 1/(x^2 + 2x + 10)​

Answer:

-18.4 or also written as -18 2/5

Step-by-step explanation:

1. Substitute -6 in for x

h(-6) = 3(-6) - 2/5

2. Distribute the 3 and -6

h(-6) = -18 - 2/5

3. Subtract

h(-6) = -18.4 OR h(-6) = -18 2/5

The total conversion cost for given the following data direct materials, $352,700; direct labor, $198,300; factory overhead, $177,600 is $375,900.

Conversion costs refer to the expenses incurred during the transformation process of raw materials into finished goods. The conversion costs consist of two main components: direct labor and factory overhead.

In this case, the direct materials cost is $352,700, and the direct labor cost is $198,300. The factory overhead cost is $177,600. To compute the conversion cost, we need to add the direct labor and factory overhead costs.

Conversion costs = Direct labor cost + Factory overhead cost

= $198,300 + $177,600

= $375,900

The conversion cost is an essential metric for manufacturers as it helps them to determine the total expenses incurred during the production process. By knowing the conversion cost, manufacturers can make informed decisions about pricing, production processes, and profitability.

Additionally, it enables manufacturers to compare their expenses with those of their competitors and identify areas where they can reduce costs to improve efficiency and increase profits.

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Answer:

42 square feet

Step-by-step explanation:

surface area = 2(length)(width) + 2(length)(height) + 2(width)(height)

I am multiplying each of these by two because there are two sides that are the same.

surface area = 2(3)(2) + 2(3)(3) + 2(3)(2)

= 12 + 18 + 12

= 42 square feet

Answer: M (6,7)

Step-by-step explanation:

YES

Solution:

Given that;

The price of a house decreased from $400, 000 to $300, 000 in one year

The difference is

The percentage decrease will be

Hence, the percentage decrease is 25%

The surface area is increased by the square of the factor used to increase both radius and height of the cylinder.

Factor of 2: Area factor of 4, Factor of 3: Area factor of 9, Factor of 5: Area factor of 25, Factor of 10: Area factor of 100, Factor of 20: Area factor of 400

In this problem we must analyze the change in the surface area of the cylinder, when radius and height are changed by same factor. The situation is described by following formula:

A = 2π · (k · r)² + 2π · (k · r) · (k · h)

A = k² · (2π · r² + 2π · r · h)

A = k² · A'

Where:

Thus, the resulting area factor is:

Factor of 2: Area factor of 4

Factor of 3: Area factor of 9

Factor of 5: Area factor of 25

Factor of 10: Area factor of 100

When both radius and height of the cylinder are multiplied by same factor, then the surface area is increased by the square of the former factor.

Factor of 20: Area factor of 400

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If the cpi increases from 135 in 2006 to 154 in 2007, the rate of inflation between 2006 and 2007 is 14.1

We have the past date cpi to be 135

We have the present date cpi = 154

Then we have to subtract the past date from the present and divide the answer by the past date.

This can be seen as

154 - 135 = 19

19 / 135 = 0.1407

Then the rate of inflation would be 0.1407 x 100

= 14.1

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Answer:

30

Step-by-step explanation:

Well we know the first angle is 90 degrees, which means we have 90 degrees left to work with. Then, the top angle would be 60 degrees, because there is a straight line (which of course has to equal 180), so 180-120 = 60. Now, 90-60=30!

Answer:

k = 30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the triangle, thus

k + 90 = 120 ( subtract 90 from both sides )

k = 30

(2/3) y ln^2 (2y) + (7/18) y ln 2y + C

To evaluate the integral ∫2y+7y ln 3y ln 2y dy, we can make use of integration by substitution.

Let u = 3y ln 2y => du/dy = 3 ln 2 + 3

We can solve for dy by differentiating the first equation with respect to y,du/dy = 3 ln 2 + 3 => dy = du/(3 ln 2 + 3)

So the integral can be rewritten in terms of u: ∫ (2u/9) + (7u/9) du

After integration, we get(2/9)u^2 + (7/18)u + C, where C is the constant of integration.

Substituting back u = 3y ln 2y, we have the final answer as(2/3) y ln^2 (2y) + (7/54) (3y ln 2y) + C= (2/3) y ln^2 (2y) + (7/18) y ln 2y + C.So the answer is:(2/3) y ln^2 (2y) + (7/18) y ln 2y + C, where C is the constant of integration.

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The point D is located in quadrant iii. Here we have (-, -)

A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.

The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".

Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.

In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.

In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.

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Answer:

\(\approx 12.8\)

Step-by-step explanation:

1. Approach

Assume that this problem is asking for the value of the shaded region.

To solve this problem, one must find the area of the entire circle. The measure of the arc around the shaded region is given, this measure can be used to find the fraction of the arc around the shaded region is, out of the entire circle. After doing so, multiply the fraction of the arc, by the area of the circle, to find the area of the shaded region.

2. Area of the circle

The formula to find the area of a circle is the following,

\(A=\pi r^2\)

Where (\(\pi\)) represents the numerical value, (\(3.1415...\)), and (\(r\)) represents the radius of the circle. The radius of a circle is the distance from the center of the circle to the circumference of the circle, or the outside boundary of the circle.

Substitute in the given values and solve for the area,

\(A=\pi r^2\\\\A = \pi (7)^2\\\\A = \pi *49\\\\A\approx 153.938\)

3. Find the fraction that the shaded region takes up

It is given that the arc surrounding the shaded region has a measure of (\(30 \degree\)). The central angles theorem states that if the vertex of an arc is the center on the center of the circle, then the measure of the surrounding arc is equal to the measure of the angle. Since there are (\(360\)) degrees in the full angle, then the fraction of the are is the measure of the arc over (\(360\)). Use this to solve for the fraction that the angle takes up,

\(\frac{30}{360}\)

Simplify,

\(\frac{1}{12}\)

4. Find the area of the shaded region,

Now multiply the fraction that the arc takes up by the total area of the circle,

\(49\pi *\frac{1}{12}\)

Multiply,

\(\frac{49\pi }{12}\)

Convert to decimal form,

\(=12.82817\)

Answer:

jsjzbdjwbxjdbwisjsobs9fbe

Step-by-step explanation:

hfkdowwhdbhdvsjsh2ivdusvqvduzvqidv

Answer:

Yeeeeaaahhhh its correct.

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Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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The sum of the diagonals of a rectangle = 223.6 cm if the area of the rectangle is 5000 cm².

Area can be defined as the quantum of material of a given consistence needed to make a model of the shape, or the quantum of makeup needed to cover the face with a single fleece. It's the two- dimensional fellow of the length of a wind or the volume of a solid.

Given,

Area of a cube = 5000 square cm

Also given that length is two times of the range also,

l = 2w

Area = l × w

5000 = 2w × w

2w ² = 5000

w ² = 2500

w = 50

also, l = 100

thus, l = 100 cm, w = 50 cm

Sum of the inclinations of a cube = √ l ² w ²

= √ 100 ² 50 ²

√ 10000 2500

= √ 12500

= 111.8 cm

In a cube, we've two inclinations

So, The sum of the inclinations of a cube = 111.8111.8 = 223.6 cm

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The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

Answer:

the answer is an outlier

Answer:

f(v)=−4v+9

Step-by-step explanation:

because khan academy says so

This is a way of representing a variable as a function of other variables in an equation. The output value "u" that satisfies the equation is u = -4(v - 1) + 5

This is a way of representing a variable as a function of other variables in an equation.

Given the equation expressed as:

u-5=-4(v-1)

Make "u"  the subject of the formula

u-5=-4(v-1)

Add 5 to both sides
u = -4(v - 1) + 5

Hence the output value "u" that satisfies the equation is u = -4(v - 1) + 5

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Answer:

77,777.78

Step-by-step explanation:

The computation of the amount that would be received by his wife is shown below:

Let us assume the daughter would received x

So his wife would received 1.25x

The total estate value is 140,000

Now the equations would be

140,000 = x + 1.25x

140,000 = 2.25x

x = 62,222.22

So his wife would received

= 62,222.22 × 1.25

= 77,777.78

Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

Answer:

for vertex at (h,k)

the equation is

y=a(x-h)^2+k

for vertex at (0,-1)

equation is

y=a(x-0)^2+(-1) or

y=ax^2-1

find what a is

(2,2)

x=2

y=2

2=a(2^2)-1

2=a(4)-1

add 1

3=a(4)

divide both sides by 4

3/4=a

the equation is

y=3/4x^2-1

Step-by-step explanation:

I really hope it helps!

Answer:

\(4(3 + x) + x = x + 4\)

\(12 + 4x + x = x + 4\)

\(12 + 5x = x + 4\)

\(5x - x = 4 - 12\)

\(4x = - 8\)

\( \large \: x = \frac{ - 8}{4} \)

\(x = - 2\)

The equation x^2 + 7y = xy can be rewritten as x^2 - xy + 7y = 0. To find the number of ordered pairs of integers that satisfy this equation, we can use the discriminant.

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by the formula discriminant = b^2 - 4ac. In our case, a = 1, b = -1, and c = 7. So, the discriminant is (-1)^2 - 4(1)(7) = 1 - 28 = -27.

Since the discriminant is negative, the quadratic equation x^2 - xy + 7y = 0 has no real solutions. Therefore, there are no ordered pairs of integers that satisfy this equation.

There are no ordered pairs of integers that satisfy the equation x^2 + 7y = xy.

We first rewrite the equation x^2 + 7y = xy as x^2 - xy + 7y = 0. To find the number of ordered pairs of integers that satisfy this equation, we can use the discriminant. The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by the formula discriminant = b^2 - 4ac. In our case, a = 1, b = -1, and c = 7. The discriminant is calculated as (-1)^2 - 4(1)(7) = 1 - 28 = -27. Since the discriminant is negative, the quadratic equation has no real solutions. Therefore, there are no ordered pairs of integers that satisfy this equation.

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Answer:

yes I know the answer to your answer that is the answer. your welcome. hope this helps.

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Answer:

0.05n + 0.25q = 1.60

q = 3n

0.05n + 0.25(3n) = 160

0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals

5n + 75n = 160...answer D

Step-by-step explanation:

(meow) <3

Answer:

no.

It is because 5*5=25

Answer:

{-4, 2, 6, 9}

Step-by-step explanation:

I took the quiz lol

Answer:

c = 256

Step-by-step explanation:

Good Luck :)