Find two integers whose sum is -11 and product is 18​

When slave starting a disabled vehicle, the term that serves an important safety consideration is c. The slaving vehicle engine must be running while connecting the slave cable

The dead car is started while the live vehicle's engine is running by inserting a slave cable into the receptacle on each vehicle.

Vehicles with manual transmissions rely heavily on the clutch slave cylinder. When the pedal is depressed, the clutch is disengaged and the transmission is shifted thanks to the slave and clutch master cylinders.

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The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

The relationship between a condition or a variable and a particular consequence with one event leading to the other is called Casual logic.

Option(b) is the correct answer.

Causal logic is the term that refers to the relationship between the variable or the condition and also the specific consequences and it is also known as causality.

The code of ethics is one of the concepts which refers to the behavior or relationship in casual logic. It also explains the relationship between the effects and the causes.

A Causal Logic Model (CLM) is explained by a set of predicates and a set of formulas.

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Answer:

NO

Step-by-step explanation:

For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.

This means, in a function, an input value cannot give you two different outputs.

Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.

The probability of getting a hand of 11 cards from a well-shuffled standard 52-card deck that contains exactly 2 Jacks is approximately 0.288 or 28.8%.

To calculate the probability, we need to determine the number of favorable outcomes (hands with 2 Jacks) and divide it by the total number of possible outcomes (all possible hands of 11 cards).

The number of ways to choose 2 Jacks from the 4 Jacks in the deck is given by the combination formula, denoted as C(4, 2), which is equal to 6. The remaining 9 cards in the hand can be chosen from the 48 non-Jack cards in the deck in C(48, 9) ways.

The total number of possible hands of 11 cards is given by the combination formula, denoted as C(52, 11), which is equal to 26,373,830.

Therefore, the probability of getting a hand with exactly 2 Jacks is (C(4, 2) * C(48, 9)) / C(52, 11) ≈ 6 * 196,380 / 26,373,830 ≈ 0.288 or 28.8%.

In conclusion, the probability of being dealt a hand of 11 cards from a well-shuffled standard 52-card deck that contains exactly 2 Jacks is approximately 0.288 or 28.8%.

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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9514 1404 393

Explanation:

In general, a system of equations has a solution that satisfies all of the equations. That is, the solution set is the intersection (and) of the solution sets of the individual equations in the system. Equations involving the absolute value function are no different.

That being said, you need to consider the meaning of an equation involving the absolute value function.

The function itself is piecewise defined:

  \(\displaystyle |x|=\left\{ {x, x\ge0} \atop {-x, x<0}} \right.\)

So, any equation involving the absolute value function automatically resolves to two equations, each with its own condition on the function value.

__

Example 1:

  |x+1| > 3

is equivalent to the two disjoint conditional equations ...

  (x +1) > 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) > 3  and  (x +1) < 0

the first of these has the solution x > 2; the second of these has the solution x < -4. The solution set of this equation is the OR of the two solution sets:

  x < -4  or  x > 2

__

Example 2:

  |x +1| < 3

is equivalent to the two disjoint conditional equations ...

  (x +1) < 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) < 3  and  (x +1) < 0

The first of these has the solution -1 ≤ x < 2, and the second of these has the solution -4 < x < -1. Again, the solution set of this equation is the OR of the two solution sets. However, we find we can write that union as a single compound inequality:

  -4 < x < 2

__

When an absolute value equation involves more than one absolute value function, then the equation will probably resolve into multiple equations, each defined on its own domain. Sometimes keeping those domains straight can be tedious.

Above, we have considered inequalities. If you have an equation, you need to consider that it will likely resolve to two equations. The solution set will be the OR of the solutions to those two equations.

Example 3:

  |x +1| = 3

is equivalent to the two conditional equations ...

  (x +1) = 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) = 3  and  (x +1) < 0

The first of these has the solution x = 2; the second has the solution x = -4. The solution set is the OR of these two solutions:

  x = -4  or  x = 2

__

The "and" condition restricts the domain of each of the individual pieces of the equation. The "or" condition applies to the collection of solutions that may exist in each of those restricted domains.

For a linear demand curve given as q = a - bp when the monopolist operates in the inelastic region of the demand curve, it can increase total revenue, r(q) raising price.

A linear demand curve is a straight line that depicts the relationship between a product's or service's demand and its price. Everyone understands that sales are proportional to price: the higher the price, the fewer items you can expect to sell.

When the price of a good or service changes, its quantity remains constant. Inelastic demand means that when the price of a good or service rises, consumers' purchasing habits remain relatively unchanged, and when the price falls, consumers' purchasing habits also remain relatively unchanged.

Demand inelasticity means that demand remains constant despite changes in economic factors. Products and services with many alternatives typically have elastic demand, whereas products and services with few alternatives are typically inelastic.

When the monopolist operates in the inelastic region of the demand curve, r(q) raising price, for a linear demand curve given as q = a - bp.

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The slope of a least squares regression line tells us about the direction and magnitude of the relationship between x and y, but not the strength of the relationship. Given statement is  False.

The slope of the regression line represents the amount by which the dependent variable (y) changes for a one-unit increase in the independent variable (x). A positive slope indicates a positive relationship, where an increase in x is associated with an increase in y, while a negative slope indicates a negative relationship, where an increase in x is associated with a decrease in y.

However, the strength of the relationship between x and y is determined by the degree of association between the two variables, which is typically measured using correlation coefficients. Correlation coefficients provide information about the strength and direction of the linear relationship between two variables, with values ranging from -1 to 1. A correlation coefficient of 1 or -1 indicates a perfect positive or negative linear relationship, respectively, while a correlation coefficient of 0 indicates no linear relationship.

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If the scale upon which points a, b, c, and d are shown is an ordinal scale, we can meaningfully say that the order of the points represents the order of the underlying variable being measured.

When using an ordinal scale, the order of the points (a, b, c, and d) represents the relative ranking or ordering of the underlying variable being measured. This means we can determine which point is higher or lower in the ranking. For example, if the variable being measured is satisfaction level, we can say that point "c" represents higher satisfaction than point "a" or "b." However, with an ordinal scale, we cannot make precise quantitative comparisons between the points or determine the exact magnitude of the differences between them. The scale only allows us to establish the relative order or ranking of the points.

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Answer:

7a+2a=9a

Step-by-step explanation:

You distribute the a to each of the numbers in the parenthesis. Which means that you multiply. You should be left with a 7a+2a. Then since 7+2=9, your answer is 9a. So answer 1 is correct because they do these exact steps.

Answer:

A

Step-by-step explanation:

You do 7a+2a=9a because you would have to give an a to each number with using distributive property

Variation is characteristic of data is a measure of the amount that the data values​ vary.

What is variation?

Variation is a measure of how spread out the data is around the center of the data.

The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set. Variance is often depicted by this symbol: σ

The coefficient of variation is a more representative measure of dispersion than the previous ones, because it is an abstract number.

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Number of ways to select 8 countries from the United Nations is 48,054,722,400

To solve this problem, we need to use the combination method, which states that if there are m ways to perform one task and n ways to perform another task after the first task is completed, then there are m x n ways to perform both tasks in sequence.

Using this principle, we can break down the selection of 8 countries into three separate tasks

Selecting 3 countries from a block of 52: There are 52C3 ways to do this, where 52C3 is the binomial coefficient "52 choose 3," which can be calculated as follows

52C3 = (52 x 51 x 50) / (3 x 2 x 1) = 22,100

Selecting 2 countries from a block of 64: There are 64C2 ways to do this, where 64C2 is the binomial coefficient "64 choose 2," which can be calculated as follows

64C2 = (64 x 63) / (2 x 1) = 2,016

Selecting 3 countries from a block of 73: There are 73C3 ways to do this, where 73C3 is the binomial coefficient "73 choose 3," which can be calculated as follows

73C3 = (73 x 72 x 71) / (3 x 2 x 1) = 1,082,790

To find the total number of ways to select 8 countries, we simply multiply these three quantities together

22,100 x 2,016 x 1,082,790 = 48,054,722,400

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Answer:

A

Step-by-step explanation:

Because the y-intercept which is the last number days that it is crossing y at 3 and A is the only one that has a y-intercept of 3.

And now that you have that, you can work out the gradient which is 2

Answer:

c

Step-by-step explanation:

hope is right! :) if not sorry

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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The parent function of the quadratic function is

∵ x is added by 7

∴ The graph of the function is translated 7 units to the left

∴ The image of the function will be

∵ The function is added by -4

∴ The graph of the function translated 4 units down

∴ The image of the function will be

The transformation is

Shift 7 units left and shift down 4

The answer is D

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:AFE

Step-by-step explanation:

Answer:

<DFE

Step-by-step explanation:

Answer:

5c + 3 = 8

Step-by-step explanation:

variable is c

5 × c + 3

5 c + 3 = 8

The Greatest Common Factor of Two or More Expressions in the following exercises of 24 and 40 is 8.

The greatest common factor (GCF) of two or more expressions is the largest number that divides evenly into each expression.

To find the GCF of 24 and 40, we can start by listing the factors of each number:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Now, we can identify the common factors of both numbers:
Common factors of 24 and 40: 1, 2, 4, 8

The greatest common factor is the largest number in the list of common factors, which in this case is 8.

So, the greatest common factor of 24 and 40 is 8.

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Answer:

154

Step-by-step explanation:

To find the percentage, we can set up a percentage proportion, where x is 7% of 2200.

\(\frac{x}{2200} = \frac{7}{100}\).

Now we can cross multiply to find the value of x.

\(2200\cdot7=15400\\\\15400\div100=154\)

Hope this helped!

Step-by-step explanation:

\( = ( - \frac{1}{3} + \frac{1}{9} ). {4}^{2} + \frac{5}{18} \)

\( = ( - \frac{3}{9} + \frac{1}{9} ).16 + \frac{5}{18} \)

\( = - \frac{2}{9} .16 + \frac{5}{18} \)

\( = - \frac{32}{9} + \frac{5}{18} \)

\( = - \frac{64}{18} + \frac{5}{18} \)

\( = - \frac{59}{18} \)

Option → C

letter c

Step by step Explanation:

(-1/3+1/9)(4²)+5/18

=-2/9(4²)+5/18

=-2/9(16)+5/18

=-32/9+5/18

=-59/18

hope this help you!

The given differential equation is solved using the method of integrating factors, which involves multiplying both sides of the equation by an integrating factor is x^2y^4√2 - 1/6 xy^3√2 + C = 0.

The given differential equation is (xy^3+xy)dx + (x^2y^2 - 2) dy=0.

To solve this, we can use the method of integrating factors found by inspection.

Notice that the coefficient of dy, x^2y^2 - 2, can be factored as (xy√2)(xy√2 - 2/xy√2). Therefore, we can choose the integrating factor u(x) = xy√2.

Multiplying both sides of the differential equation by u(x), we get

(xy^4√2 + xy√2)dx + (x^3y^2√2 - 2xy√2) dy = 0

Now, we can write the left-hand side as the exact differential of a function F(x,y)

dF = (∂F/∂x)dx + (∂F/∂y)dy = (xy^4√2 + xy√2)dx + (x^3y^2√2 - 2xy√2) dy

To find F(x,y), we integrate the first term with respect to x and treat y as a constant

F(x,y) = 1/2 x^2y^4√2 + 1/2 x^2y√2 + h(y)

where h(y) is an arbitrary function of y.

Taking the partial derivative of F with respect to y and equating it to the second term of dF, we get

∂F/∂y = 2x^3y^3√2 + 1/2 x^2√2 + h'(y) = x^3y^2√2 - 2xy√2

Comparing coefficients, we get

h'(y) = -2xy√2 - 1/2 x^2√2

Integrating both sides with respect to y, we get

h(y) = -1/2 x^2y√2 - 1/6 xy^3√2 + C

where C is an arbitrary constant.

Therefore, the solution to the differential equation is

1/2 x^2y^4√2 + 1/2 x^2y√2 - 1/2 x^2y√2 - 1/6 xy^3√2 + C = 0

Simplifying, we get

x^2y^4√2 - 1/6 xy^3√2 + C = 0

where C is a constant determined by the initial conditions.

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Answer: 6.3 units

Step-by-step explanation:

Use the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

d = √(9 - 7)² + (-3 + 9)²

d = √(2)² + (6)²

d = √4 + 36

d = √40

d ≅ 6.3

The distance between (-3, 9) and (-9, 7) is about 6.3 units.

The correct answer is option D.The point 1.6 with bar will be lies between 1 and 2.

The image of the question is attached with the answer below:-

The number line is the line on which real numbers are marked with the same interval between them. Number lines are used to mark any point of the real number on the line.

We can see in the image that A, B, C and D points are marked on the number line. The line is marked with real numbers that are integers.1.6 bar number will lie between 1 and 2 numbers.

Therefore the correct answer is option D.The point 1.6 with a bar will be lies between 1 and 2.

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Answer:

D

Step-by-step explanation:

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Step-by-step explanation:

(f + g)(-1) = f(-1) + g(-1)

f(-1) = -1 -2 = -3

g(-1) = (-1)² + (-1) -6 = -6

(f+g)(-1) = -9

Answer:

(f + g)(- 1) = - 9

Step-by-step explanation:

note (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x - 2 + x² + x - 6 ← collect like terms

= x² + 2x - 8

To evaluate (f + g)(- 1) substitute x = - 1 into (f + g)(x), that is

(f + g)(- 1)

= (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9