Write the equation of the parabola that has its x-intercepts
at (5, 0) and (-6, 0) and its
at (0, -1).

On a sequence diagram, a message does represent a service request. A sequence diagram is a type of interaction diagram in Unified Modeling Language (UML) .So the answer to your Question is True.

UML illustrates the interactions between objects or components within a system over a specific period of time. It visualizes the flow of messages between objects to depict the order of and the timing of these interactions. In a sequence diagram, messages are used to represent communication between objects. Messages can be synchronous, where the sender waits for a response before proceeding, or asynchronous, where the sender does not wait for a response. In the context of a service-oriented architecture, a message can represent a service request being sent from one object or component to another. By using messages to represent service requests, sequence diagrams provide a clear and visual representation of the interactions and flow of information within a system. They help in understanding the sequence of steps involved in a process and the dependencies between different components or objects.

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Answer:

2⁵ / ( 2²)⁵

2⁵ / (2×2)⁵

2⁵ / ( 4 )⁵

2⁵ / 4⁵

32 / 1024

4 / 128

1 / 32

0.03125

Answer: 6 7/50

Step-by step: Convert to a mixed number by placing the numbers to the right of the decimal over 100. Simplify  the fraction.

Answer: Yoru answer is 6 7/50

Hope it helped :D

Answer:

Step-by-step explanation:

12

Answer:

3

Step-by-step explanation:

Answer:

The rate of change, aka slope, represents the cost per food item.

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Explanation:

We can use the slope formula

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Pick any two rows in the table. Let's say we go for (1,8) and (2,16)

The slope through those points is...

\(m = \frac{y_2-y_1}{x_2-x_1}\\\\ m = \frac{16-8}{2-1}\\\\ m = \frac{8}{1}\\\\ m = 8\)

You'll get the same value for any other two rows as well.

This slope is the unit rate which is the cost per hamburger.

Or you could simply look at the row that has (x,y) = (1,8) to see this unit cost really quickly without having to do any math at all. This works because the line y = 8x goes through the origin.

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The hot dogs will follow the same calculation. Pick any two points, find the slope, and that slope is the unit rate aka unit price.

You should find the unit price is $4.

Note how (1,4) is a point on the blue line. So we have a similar situation to the hamburgers. This line y = 4x also goes through the origin.

The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.

Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).

First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).

Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).

Now, we substitute these derivatives back into the product rule formula:

g'(x) = f'(x) * h(x) + f(x) * h'(x)

       = 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).

In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹  * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

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A function containing a variable base raised to a fixed power   is considered to be a power function.

when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.

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There are 35 ways to choose two toppings for a pizza, one topping from a group of 5 kinds of meats and the other topping from a group of 7 kinds of vegetables.

The multiplication rule of counting in Permutation and Combinations states that if there are n ways to perform one task and m ways to perform a second task, then there are n x m ways to perform both tasks in sequence.

The number of ways to choose a meat topping from 5 kinds of meats = 5.

The number of ways to choose a vegetable topping from 7 kinds of vegetables = 7.

Using the multiplication rule, the number of ways to choose one meat topping and one vegetable topping is = 5 x 7 = 35 ways.

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\(\dfrac{0.9}{10^3}\\\\\\=\dfrac{\left(\dfrac 9{10}\right)}{10^3}\\\\\\=\dfrac{9}{10 \cdot 10^3}\\\\\\=\dfrac{9}{10^4}\\\\\\=\dfrac 9{10000}\\\\\\=0.0009\)

Answer: C

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Answer:

80,000

Step-by-step explanation:

The population doubles every 260 hours. 260 goes into 780 three times.

10,000x2=20,000

20,000x2=40,000

40,000x2=80,000

Answer:

B. 2

Step-by-step explanation:

The Root cause analysis uses one of the following techniques is (D) Ishikawa diagram.

The Root cause analysis is a problem-solving technique that aims to identify the underlying reasons or causes of a particular problem or issue.

It helps in identifying the root cause of a problem by breaking it down into its smaller components and analyzing them using a systematic approach.

The Ishikawa diagram, also known as a fishbone diagram or cause-and-effect diagram, is one of the most widely used techniques for conducting root cause analysis.

It is a visual tool that helps in identifying the possible causes of a problem by categorizing them into different branches or categories.

The Ishikawa diagram can be used in various industries, including manufacturing, healthcare, and service industries, and can help in improving processes, reducing costs, and increasing efficiency.

In summary, the root cause analysis technique uses the Ishikawa diagram to identify the underlying reasons for a particular problem.

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The statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.

This principle is known as the exclusive disjunction, which means that the truth value of p v q is only true if either p or q is true, but not both.

In other words, if both p and q are true, then the statement p v q is still considered true because only one of them needs to be true for the whole statement to be true. This concept is essential in the study of logic as it helps to clarify the relationship between different statements and propositions.

Furthermore, this principle is often used in mathematics, computer science, and other fields that rely heavily on logical reasoning. It enables us to make accurate predictions and draw valid conclusions from a set of given premises or statements.

In conclusion, the exclusive disjunction is a crucial concept in the study of logic that helps us understand the truth value of compound claims. Therefore, the statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.

In the study of logic, the statement "p ∨ q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim p ∨ q is, as a whole claim, true" is actually false. This is because the given description refers to the "inclusive" sense of the disjunction (OR) operator, rather than the exclusive sense.

In logic, there are two types of disjunctions: inclusive and exclusive. The inclusive disjunction, represented by p ∨ q, is true when at least one of p or q is true. This means that if both p and q are true, the compound claim p ∨ q is also true, which matches the given description in the question.

On the other hand, the exclusive disjunction, represented by p ⊕ q or p XOR q, is true only when either p or q is true, but not when both are true. If p and q are both true, then the compound claim p ⊕ q is false.

So, the statement in the question actually describes the inclusive disjunction, not the exclusive disjunction, and is therefore false.

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The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Given that set A contains 12 elements and set B contains 49 elements, and the total number of elements in either set A or set B is 52, we can determine the number of elements they have in common.

To find the number of elements in common between set A and set B, we subtract the sum of the number of elements in each set from the total number of elements. The total number of elements in either set A or set B is given as 52. Therefore, we have:

Number of elements in common = Total number of elements - (Number of elements in set A + Number of elements in set B)

= 52 - (12 + 49)

= 52 - 61

= -9

Since the result is negative (-9), it indicates that there are no elements in common between set A and set B. In other words, there are no elements that are present in both set A and set B.

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The car traveled at a faster rate in the last six minutes compared to the first six minutes.

In the first six minutes, the car traveled 2 miles, which means it had a speed of (2 miles)/(6 minutes) = 0.33 miles per minute.

In the last six minutes, the car traveled 8 miles, which means it had a speed of (8 miles)/(6 minutes) = 1.33 miles per minute.

Comparing the two speeds, we can see that the car traveled at a faster rate in the last six minutes. This could be because the driver increased the speed or drove on a more favorable road surface. It is also possible that the driver had to slow down in the first six minutes due to traffic or other road conditions.

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The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

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Answer:

Concept: Mathematical Comprehensive

General notes:

Answer:

Pick two points from the graph. X1 y1 and x2 y2. Example points from your graph:

(4,1) and (-4,3)

x1=4

y1=1

x2=-4

y2=3

Step-by-step explanation:

To find slope take the points you got from graph and put it into the equation y2-y1/x2-x1

3-1/-4-4=-2/8=-1/4

Then take that slope u got and plug into this equation to find equation of the line

y-y1=m(x-x1)

y-1=-1/4(x-4)=y-1=1/4x+(1/4)(4)

y-1=-1/4x+1

+1 +1

——————

y=-1/4x+2 ANSWER CHECK

m=slope! Which is -1/4

y=-1/4x+2 is your answer!!

In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.

The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.

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Answer:

Hi there! Please give the full question! There are many different questions that could go along with this graph!

Answer:

x=-125/24

Step-by-step explanation:

(6x+10)+(-10-30x)=(30x+135)+(-10-30x)

(6x+10)+(-30x-10)=(30x+135)+(-30x-10)

6x+10-30x-10=30x+135-30x-10

6x-30x+10-10=30x-30x+135-10

-24x=125

24x/24=-125/24

x=-125/24

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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Answer:

Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?

Answer: 180 degrees clockwise

Step-by-step explanation: