[x÷(y-1)](-4)-[xy+(-3)]÷(-1) if x=5 and y=-2

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

the solution set for the equation\(3^(3y+1) = (1/9)^(y-3\)) is {1}.

To solve the equation \(3^(3y+1) = (1/9)^(y-3)\), we can start by rewriting both sides with the same base. Let's express \((1/9) as 3^(-2):\)

\(3^(3y+1) = 3^(-2(y-3)\)

Using the rule of exponentiation, we can simplify the right side:

\(3^(3y+1) = 3^(-2(y-3)\))

Now, since the bases are the same, we can equate the exponents:

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

Expand the equation:

3y + 1 = -2y + 6

Combine like terms:

3y + 2y = 6 - 1

5y = 5

Divide both sides by 5:

y = 1

Therefore, the solution set for the equation\(3^(3y+1) = (1/9)^(y-3\)) is {1}.

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If two lines intersect, then the vertical angles formed must be both equal in measure.

The  intersection of a line can be described as when two or more lines cross each other in a plane as a result of this they are been referred to as   intersecting lines.

Therefore, intersecting lines share a common point, hence , If two lines intersect, then the vertical angles formed must be both equal in measure.

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Given the movement of the ship, it can be respresented by the image below:

The distance from its starting point in a direct line is represented with x and can be calculated using Pythagoras Theorem as follow:

To get the hypotenuse, we have:

Hence, the ship is approximately 19.9km away from the starting point in a direct line.

Measure of angle A is m∠A = 18.358

Answer:

1. 60 seconds.

2. 9 minutes.

3. 3 minutes, 180 seconds.

4. 300 seconds, 5/60 horas.

Answer:

The function form is:

f(x) = 2x - 8

a. The product of numbers by using distributive property is -605/7.

b. The product of numbers by multiplying fractions is -605/7.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To find the product of number -11 (7 6/7).

Now, The product of numbers by using distributive property is calculated as;

⇒ -11 (7 6/7) = -11 * (7 + 6/7)

                  = -11 * 7 - 11 * 6/7

                  = -77 - 66/7

                  = (-539 - 66)/7

                  = -605/7

Hence, The product of numbers by using distributive property is -605/7.

And, The product of numbers by multiplying fractions is;

⇒ -11 (7 6/7) = -11 * 55/7

                  = -605 /7

Hence,  The product of numbers by multiplying fractions is -605/7.

So, a. The product of numbers by using distributive property is -605/7.

b. The product of numbers by multiplying fractions is -605/7.

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The algebraic expression for 10 more than a number is x + 10 or 10 + x.

The x in the expression is called a variable, which can be represented by any letter in the alphabet.

An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change.

Some basic mathematical operators are +, -, x and /.

The given phrase states that a result can be obtained by adding 10 more to the variable.

The variable x can be replaced by any number.

If x equals 2, then the expression x + 10 has a value of 12.

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The positive integer +10 represents a gain of 10 yards on the football play.

A gain of 10 yards on the football play signifies that a team has improved on their position in the game.

Assuming they started from 0 the are along the positive direction of the axis by 10 units or yards.

Hence the integer to represent this is given by +10 a positive integer of 10 units.

Integer examples include positive, negative, and zero. The word "integer" means "whole" or "intact" in Latin. As a result, integers do not contain fractions or decimals.

Neither negative numbers nor all whole numbers are regarded as integers. This indicates that when negative numbers are added to whole numbers, an assortment of integers is the outcome. A number without a decimal or fractional element is called an integer, and it can consist of both positive and negative integers, including zero.

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In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

The integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

a) The integral 120 ∫ v(t) dt represents the displacement of the particle from its starting point after 120 seconds, assuming that its initial displacement is zero. This can be seen by the fundamental theorem of calculus, which states that if F(x) is an antiderivative of f(x), then ∫ f(x) dx = F(b) - F(a), where a and b are the limits of integration. In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

b) The integral 120 ∫ |v(t)| dt represents the distance that the particle travels in 120 seconds. This is because |v(t)| represents the magnitude of the velocity, or speed, of the particle at time t, regardless of its direction. Thus, the integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

c) The integral 120 ∫ a(t) dt represents the change in velocity of the particle over the time interval [0, 120]. This can be seen by the fundamental theorem of calculus, which tells us that if f(x) is the derivative of g(x), then ∫ f(x) dx = g(x) + C, where C is a constant of integration. In this case, a(t) is the derivative of v(t), so the integral of a(t) over the time interval [0, 120] gives us the change in velocity of the particle during that time. Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

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Answer:

Perimiter :: 24

Area :: 28

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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nswer

First image

Angle ABC covers around the inside and outside of the circle.

Second image

Angle x l

hird image

Angle DBE l

ngle of arc DE l

ngle of arc AC l

ourth angle

ll the angles at U lie inside the circle.

ngle 78° l

ngle 114° l

ope this Helps!!!

Answer:

1 , 2

Step-by-step explanation:

y = 2x --------------(I)

5x + y = 7 ------------(II)

Substitute y = 2x in equation (II)

5x + 2x = 7

7x = 7

Divide both sides by 7

x = 7/7

x = 1

Plugin x = 1 in (II)

y = 2*1

y = 2

Answer: 45.5/100 = 455/1000

Step-by-step explanation:

Step-by-step explanation:

45.5% in its simplest form is

\( \frac{91}{2} \)

but 45.5% =

\( \frac{91}{2} \ \times 100 = \frac{91}{200} \)

Answer:

Step-by-step explanation:

Take any two pairs of coordinates to find the slope.

The forumla for slope is (y2-y1)/(x2-x1)

Wil will choose the points (2,10) and (4,20)

Therefore:

m = (20-10)/(4-2)

m = 5

To find the third side length, we can use the fact that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. So we can write: (z + 13) + (2z + 6) > third side Simplifying the left side, we get: 3z + 19 > third side Now we also know that the perimeter of the triangle is the sum of the lengths of all three sides, so we can write: (z + 13) + (2z + 6) + third side = 8z + 11 Simplifying this equation, we get: 3z + 19 + third side = 8z + 11 Subtracting 3z + 19 from both sides, we get: third side = 5z - 8 Therefore, the

Answer:

see explanation

Step-by-step explanation:

(a)

Given

x² + 10x + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the x- term (+ 10)

The factors are + 2 and + 8, since

2 × 8 = 16 and 2 + 8 = 10, thus

x² + 10x + 16 = (x + 2)x + 8)

---------------------------------------------------

(b)

Given

x² + 7x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, thus

x² + 7x + 12 = (x + 3)(x + 4)

------------------------------------------------------

(c)

Given

x² + 13x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 13)

The factors are + 1 and + 12, since

1 × 12 = 12 and 1 + 12 = 13, thus

x² + 13x + 12 = (x + 1)(x + 12)

Answer:

It is in deficit

Step-by-step explanation:

If you take her income (655) and subtract all of the expenses, including adding the annual expenses together and dividing them by 12 months, the result would be negative.

It is in deficit describes the Monica's budget.

Two or more expressions with an Equal sign is called as Equation.

We can calculate Monica's total fixed expenses as:

Rent + Electric + Transportation + Food + Entertainment = $200 + $45 + $78 + $190 + $30 = $543

Her annual expenses are:

Car Insurance + Books = $945 + $280 = $1225

Adding her fixed and annual expenses gives:

$543 + $1225 = $1768

Since her income is only $655, her expenses exceed her income and she is operating at a deficit. Therefore, the answer is: It is in deficit.

Hence, It is in deficit describes the Monica's budget.

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The numerical expression using commutative property of multiplication that is equivalent to 2⁸ is 2² x 2² x 2² x 2² = 256.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Now the given exponent is,

2⁸

Now, 8 can be written as using associative property of addition,

8 = 2 + 2 + 2 + 2

Thus we can write,

2⁸ = 2^( 2 + 2 + 2 + 2 )

Using exponential property

x^(a + b) = x^a . x^b

Thus we get,

2⁸ = 2^2 . 2^2 . 2^2 . 2^2

Thus numerical expression for 2^8 = 2^2 . 2^2 . 2^2 . 2^2

Solving we get,

2^8 = 4 x 4 x 4 x 4 = 256

Thus, the numerical expression using exponential property of multiplication that is equivalent to 2⁸ is 2² x 2² x 2² x 2² = 256.

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Step-by-step explanation:

Combing like terms means that you combine the terms that are alike. So, if you have integers you would combine the integers. If you had a variable like x, you would combine everything with x. For instance, 2x+4+3+7x, to combine like terms add 4+3 and 2x+7x.

Answer:

$13.90

Step-by-step explanation:

1. Get rid of the tax by subtracting 2.70 from the total.  

2. Next, divide the total by 3 to find the price of each CD.

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

Answer:

C. -1

Step-by-step explanation:

Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:

y = mx + b

-7 = -3(2) + b

-7 = -6 + b

-1 = b

So, the y intercept is -1.

The correct answer is C. -1