2. The domain for all functions in this problem are the positive integers. Define the first difference of f by Of () := f (x + 1) - f(x) (a) Let f be a constant function. Show that of is the zero function. Are there any а other functions g so that dg is the zero function? (b) Let P(x) = (+1) and Q(x) = 1 +2 +3 + ... +r. Check that 8P(x) = x +1 and 8Q(2) = x +1. (C) For P and Q from (b), verify that P-Q is a constant function (Hint: use (a)), and then find the value of the constant. Conclude that (3+1) 1+2 +3 + ... +2= 2 2

Answer:

AB ≈ 1095 yards

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² + BS² = AS²

AB² + 1300² = 1700²

AB² + 1690000 = 2890000 ( subtract 1690000 from both sides )

AB² = 1200000 ( take the square root of both sides )

AB = \(\sqrt{1200000}\) ≈ 1095 yd ( to the nearest yard )

Answer:

The answer in decimal form is 33.6.

The answer in fraction form is \(33\frac{3}{5}\).

Step-by-step explanation:

To find 40% of 84, multiply 84 and 0.4.

84 × 0.4 = 33.6

The answer in decimal form is 33.6.

The answer in fraction form is \(33\frac{3}{5}\).

Hope this helps!

Answer:

324

Step-by-step explanation:

\(4p^2= \\\\4(9)^2= \\\\4\times (9\times 9)= \\\\4\times (81)= \\\\\boxed{324}\)

Hope this helps!

Answer:

324

Step-by-step explanation:

If p=9, then the expression would be 4(9)². 9² is 81 and 81*4 is 324

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

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Answer:

1/36

Step-by-step explanation:

if the probability for rolling a 5 is 1/6 the first time and 1/6 rolling it a second time, multiply the two probabilities together

1/6 X 1/6 = 1/36

so the answer is a 1/36 probability of rolling two fives in a row

Answer:

i think the answer is x = 3

or x = -3 or

Step-by-step explanation:

Answer:

^7 squroot5^3

Step-by-step explanation:

5x2= 10

7÷ 3= 2.5

Step-by-step explanation: answer {x,y,z} = {1,-2,5}

/ Solve equation [3] for the variable x

[3] x = 2y - 5z + 30

// Plug this in for variable x in equation [1]

[1] 2•(2y-5z+30) - 5y + 3z = 27

[1] - y - 7z = -33

// Plug this in for variable x in equation [2]

[2] 4•(2y-5z+30) + 3y - 7z = -37

[2] 11y - 27z = -157

// Solve equation [1] for the variable y

[1] y = -7z + 33

// Plug this in for variable y in equation [2]

[2] 11•(-7z+33) - 27z = -157

[2] - 104z = -520

// Solve equation [2] for the variable z

[2] 104z = 520

[2] z = 5

// By now we know this much :

x = 2y-5z+30

y = -7z+33

z = 5

// Use the z value to solve for y

y = -7(5)+33 = -2

// Use the y and z values to solve for x

x = 2(-2)-5(5)+30 = 1

Answer:

add divide

Step-by-step explanation:

Answer:

add divide

Step-by-step explanation:

we know the sphere has a diameter of 16, thus its radius must be half that, or 8.

\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3} ~~\begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}~\hfill~ V=\cfrac{4\pi (8)^3}{3}\implies V=\cfrac{2048\pi }{3}\implies V\approx 2144.7\)

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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This shows that the measure of <SRT is 90degrees

Lines is defined as the distance between two points

From the given diagram, two lines intersects each other and are also perpendicular to each other.

Since the lines are perpendicular to each other, the measure of their angles is 90 degrees.

This shows that the measure of <SRT is 90degrees

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Answer:

90

Step-by-step explanation:

edge 2022

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

The given measurements range from a massive 6.37 × 102 Mg to a tiny 7.24 ng.

To make a proper comparison, we need to convert them to the same unit. By converting 6.37 × 102 Mg to centigrams (cg) and multiplying it by 106, we get 6.37 × 108 cg.

Similarly, by converting 7.24 ng to cg and multiplying it by 10^9, we get 7.24 × 10^-9 cg. Now, we can rank the measurements from largest to smallest, with the largest being 6.37 × 108 cg and the smallest being 7.24 × 10^-9 cg.

It is important to note that the range of these measurements is quite vast, spanning 15 orders of magnitude from the largest to the smallest.

Hence, the measurements provided vary significantly, with the largest being a massive 6.37 × 102 Mg and the smallest being a minuscule 7.24 ng.

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Answer:

Slope of the line = -1/5

Equation will be

\((y + 6) = \frac{ - 1}{5} (x - 8)\)

\(5(y + 6) = - x + 8\)

\(x + 5y = - 22\)

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The  interquartile range with data 1, 2, 4, 5, 10, 12, 18 is 10.

To calculate the interquartile range, we need to first find the median (Q2) of the data set.

The median of the data set is the middle value, which is 5.

Next, we need to find the median of the lower half of the data set (Q1) and the median of the upper half of the data set (Q3).

The lower half of the data set is 1, 2, and 4. The median of this set is 2.

The upper half of the data set is 10, 12, and 18. The median of this set is 12.

Therefore, Q1 = 2 and Q3 = 12.

The interquartile range is the difference between Q3 and Q1, which is 12 - 2 = 10.

Therefore, the answer is c. 10.

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Answer: 2x5−3x4−8x3+12x2

Step-by-step explanation:

(2x2−3x)(x3−4x)

=(2x2+−3x)(x3+−4x)

=(2x2)(x3)+(2x2)(−4x)+(−3x)(x3)+(−3x)(−4x)

=2x5−8x3−3x4+12x2

=

Answer:

i) \(P(X=12)=0.0355\)

ii) \(P(X<10)=0.7553\)

iii) \(P(X\geq 5)=0.9490\)

Step-by-step explanation:

Let's start by defining the random variable ⇒

\(X:\) '' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''

\(X\) is a discrete random variable.

The probability of a randomly selected student getting 7 marks out of 10 is 0.4

(This is a data from the question).

Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate \(X\) as a binomial random variable ⇒

\(X\) ~ Bi (n,p)

Where ''n'' and ''p'' are the parameters of the variable.

''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒

\(X\) ~ Bi (20, 0.4)  in the question.

The probability function for \(X\) is

\(p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}\)    (I)

Where \(\left(\begin{array}{c}n&x\end{array}\right)\) is the combinatorial number define as

\(\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}\)

Replacing the parameters in the equation (I) ⇒

\(P(X=x)=\left(\begin{array}{c}20&x\end{array}\right)(0.4)^{x}(0.6)^{20-x}\)    (II)

For i) we need to find \(P(X=12)\)

Then, we only need to replace by \(x=12\) in equation (II) ⇒

\(P(X=12)=\left(\begin{array}{c}20&12\end{array}\right)(0.4)^{12}(0.6)^{8}=0.0355\)

For ii) we need to calculate \(P(X<10)\)

This probability is equal to ⇒ \(P(X<10)=P(X\leq 9)\) and to calculate it we need to sum \(P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\)

\(+P(X=6)+P(X=7)+P(X=8)+P(X=9)\)

We can do it summing each term or either using any program.

The result is \(P(X<10)=P(X\leq 9)=0.7553\)

Finally for iii) we need to find  ⇒ \(P(X\geq 5)\)

This probability is equal to ⇒ \(P(X\geq 5)=1-P(X\leq 4)\) ⇒

\(1-P(X\leq 4)=1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)]\)

Again we can find each term by using the equation (II) or either using a program. The result is \(P(X\geq 5)=0.9490\)

Answer:

x + 5/4

Step-by-step explanation:

Simple integer arithmetic expressions with addition and multiplication cannot be represented by a context-free grammar due to their recursive and hierarchical nature.

Context-free grammars (CFGs) are formal grammars that can be used to generate languages based on a set of production rules. However, CFGs are limited in their ability to represent certain types of languages. One such limitation is the inability to represent the recursive and hierarchical structure of simple integer arithmetic expressions involving addition and multiplication.

In simple integer arithmetic expressions, operands can be combined using addition and multiplication operators. These expressions can be nested, with subexpressions appearing within larger expressions. The recursive nature of these expressions poses a challenge for CFGs because they require an unbounded number of production rules to capture all possible levels of nesting.

CFGs are designed to handle languages with a linear structure, where the order of symbols is important but not their hierarchical relationships. While CFGs can handle addition or multiplication operations individually, they struggle to capture the nested structure and precedence rules inherent in arithmetic expressions.

To represent simple integer arithmetic expressions with addition and multiplication, more powerful formalisms such as context-sensitive grammars or parsing algorithms like recursive descent or operator precedence parsing are typically used. These approaches can handle the recursive and hierarchical nature of arithmetic expressions, allowing for the correct interpretation of operators and operands based on their precedence and associativity.

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The complete question is :

why simple integer arithmetic expressions with addition and multiplication cannot be represented by a context-free grammar?

Symbol transmission rate (rs) = Medium bandwidth (w) = w GHz and application data rate (rb) = 20w Gbps

To determine the symbol transmission rate (rs) in Giga symbols per second (Gsps), we need to divide the application data rate (rb) by the medium bandwidth (w).

rb = 20w Gbps, we can express it in Gsps by dividing rb by 20:

rs = rb / 20

rs = (20w Gbps) / 20

rs = w Gsps

Therefore, the symbol transmission rate (rs) in Gsps is equal to the medium bandwidth (w) in GHz.

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The sum of two numbers is 18.

Let greater number be x and lesser number be y.

It is given that two times the greater number equals the sum of 4 times the lesser number and 6

Hence the correct option is b.

Answer:

222

Step-by-step explanation:

Hey there!

250 - {(135 + 34) ÷ (46 - 33)} - 15 

= 250 - 169/(46 - 44) - 15

= 250 - 169/13 - 15

= 250 - 13 - 15

= 237 - 15

= 222

Therefore, your answer should be:

222

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c

so y=5x-3

Answer:

its true

Step-by-step explanation:

Step-by-step explanation:

here's your solution

=> volume of cylinder = πr^2h

=> radius of cylinder = 12 unit

=> height of cylinder = 17 unit

=> volume of cylinder = 2448 π units^3

\(\huge\mathcal\pink{here's \: your \: solution}\)

\(\huge\mathfrak\purple{hope \: it \: helps \: }\)

According to operations in maths, -8 - 12 is solved by adding the two numbers together and maintaining the negative sign, which will give us: -20.

Operations in mathematics are often guided by these rule listed below:

minus + plus = minus

minus + minus = minus

minus × minus = plus

minus × plus = minus

Thus, if we are given the expression, -8 - 12, applying the second rule stated above, we will have:

-8 - 12 = -20

This means we are adding two negative numbers together, which will give us the negative value of their sums.

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