Beth already owes Joe $10 but asks to borrow $25 more. How much will she owe

him in total?

a) To add the binary numbers 1010101₂ and 10011₂, we perform the addition as follows:

  1010101

+  10011

_________

 1100110

So, the sum of 1010101₂ and 10011₂ is 1100110₂.

b) To subtract the binary number 101010₂ from 1110011₂, we perform the subtraction as follows:

  1110011

-   101010

__________

   100001

So, the difference between 1110011₂ and 101010₂ is 100001₂.

c) To multiply the binary numbers 10010₂ and 11001₂, we perform the multiplication as follows:

    10010

 × 11001

__________

   10010     (Partial product: 10010 × 1)

+ 000000    (Partial product: 10010 × 0, shifted one position to the left)

+1001000    (Partial product: 10010 × 1, shifted two positions to the left)

__________

 1101110010

So, the product of 10010₂ and 11001₂ is 1101110010₂.

d) The given number 1001110₂ is incomplete, and there is no specific operation mentioned to be performed on it. Please provide additional information or specify the operation you want to perform on the number for a more accurate response.

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Answer:

47 years old.

Step-by-step explanation:

Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:

\(4c=15*4=60\ years\\f=m+4\\\frac{4c+m+f}{6}=25\)

Replace the first two equations into the last to solve for 'f':

\(\frac{60+(f-4)+f}{6}=25 \\2f=(25*6)-60+4\\f=47\ years\)

The father is 47 years old.

We need to know about asymptotes and holes to solve this problem. The radical function is \(\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

A vertical asymptote is a vertical line that guides the graph of a function but is not a part of it. If there is a same factor in the numerator and the denominator then it is called a hole. A horizontal asymptote is a horizontal line with which the graph of the function seems to coincide but does not really coincide. In this question we know that vertical asymptotes are at x=-6 and x=-1, so we know that these are the factors of the denominator. A hole lies at x=-9, so this is a common factor for numerator and the denominator. There is an x-intercept at x=0 which means we have a this factor in the numerator.

f(x)=\(\frac{x(x+9)}{(x+9)(x+6)(x+1)}\)=\(\frac{x^{2}+9x }{(x+9)(x^{2} +7x+6)} =\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

Therefore the radical function is \(\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

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Answer:

x=-2

Step-by-step explanation:

-8x+7x=-4-2

x=-2

Answer:

5 children

Step-by-step explanation:

$7.31 x2 = $14.62

$46- 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

and $33 is bigger than $31

So the greatest number of children tickets can be purchased is only 5.

Answer:

5 children

Step-by-step explanation:

Solve

$7.31 x2 = $14.62

$46 - 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

$33 is bigger than $31

Therefore, the greatest number of children tickets can be purchased is only 5.

Answer:

\(\huge\boxed{f(8) = 62}\)

Step-by-step explanation:

\(\sf f(x) = 9x-10\\\\Put\ x = 8\\\\f(8) = 9(8) -10\\\\f(8) = 72-10\\\\f(8) = 62\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

f(8) = 62

Step-by-step explanation:

To evaluate f(8) substitute x = 8 into f(x) , that is

f(8) = 9(8) - 10 = 72 - 10 = 62

Answer:woah

Step-by-step explanation:

Y’all be having hard ques

The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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After the government breaks up the single firm into two equal-sized firms, The Herfindahl index for this new market structure would change from A. 10,000 to 5,000.

The Herfindahl index is a measure of market concentration and is calculated by summing the squared market shares of all firms in the industry. It provides an indication of the competitiveness of the market, with higher values indicating greater concentration and lower values indicating more competition.

In this case, the industry initially consists of a single firm, which means it has a market share of 100%. The Herfindahl index for this scenario is calculated as \(100^{2}\) = 10,000.

After the government breaks up the single firm into two equal-sized firms, each firm will have a market share of 50%. The Herfindahl index for this new market structure is calculated as (\(50^{2}\) + \(50^{2}\)) = 5,000.

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Answer:

all I know is how to get y but y=122

Step-by-step explanation:

y=3(40)+2

y=120+2

y=122

sorry but I dont know what to do for x

\(3(x - 2) + 7x = \frac{1}{2} (6x - 2) \)

\(3(x - 2) + 7x = \frac{1}{2} (6x - 2) \\ \\ \implies3x - 6 + 7x = ([\frac{1}{2} \times 6 \: x] - [\frac{1}{2} \times 2]) \\ \\ \implies10x - 6 = ([\frac{1}{ \cancel2} \times \cancel 6 \: x] - [\frac{1}{ \cancel2} \times \cancel2]) \\ \\ \implies 10x - 6 = 3x - 1 \\ \\ \fbox{Bringing (3x )to left side whereas( - 6 )in right side} \\ \\ \implies10x - 3x = - 1 + 6 \\ \\ \implies7x = 5 \\ \\ \therefore x = \frac{5}{7} \)

The Solution is = \( \frac{5}{7}\)

\(\text\red{One Solution set is possible.}\)

Answer:

∠x = 46°

Step-by-step explanation:

We have triangle = 180° = 18° + ∠x + (180° - 64°)

=> ∠x = 180° - 18° - 116° = 46°

Domain and Range of the given rational functions are:Given rational function f(x) = 3/(x-1)The denominator of f(x) cannot be zero.x ≠ 1 Therefore the domain of f(x) is {x | x ≠ 1}

The range of f(x) is all real numbers except zero.Given rational function f(x) = (2x)/(x-4)The denominator of f(x) cannot be zero.x ≠ 4 Therefore the domain of f(x) is {x | x ≠ 4}The range of f(x) is all real numbers except zero.Given rational function f(x) = (x+3)/(5x-5)The denominator of f(x) cannot be zero.5x - 5 ≠ 0x ≠ 1 Therefore the domain of f(x) is {x | x ≠ 1}The range of f(x) is all real numbers except 1/5.Given rational function f(x) = (2+x)/(2x)The denominator of f(x) cannot be zero.x ≠ 0 Therefore the domain of f(x) is {x | x ≠ 0}The range of f(x) is all real numbers except zero.Given rational function f(x) = (x^2+4x+3)/(x^2-9)For the denominator of f(x) to exist,x ≠ 3, -3

Therefore the domain of f(x) is {x | x ≠ 3, x ≠ -3}The range of f(x) is all real numbers except 1, -1. Function Domain Rangef(x) = 3/(x-1) {x | x ≠ 1} All real numbers except zerof(x) = (2x)/(x-4) {x | x ≠ 4} All real numbers except zerof(x) = (x+3)/(5x-5) {x | x ≠ 1} All real numbers except 1/5f(x) = (2+x)/(2x) {x | x ≠ 0} All real numbers except zerof(x) = (x^2+4x+3)/(x^2-9) {x | x ≠ 3, x ≠ -3} All real numbers except 1, -1

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Answer:

1. x = sqrt3 - 4, negative sqrt3 -4

2. x = sqrt13, negative sqrt13

3. x = sqrt7/2 , negative sqrt7/2

4. x = sqrt3/2 - 14, negative sqrt3/2 - 14

Step-by-step explanation:

sqrt = square root

Step-by-step explanation:

use calculator , it might be helpful

Answer:

7200

Step-by-step explanation:

It is above 7150+

So the nearest hundred of 7190 will be,

→ 7190 ≈ 7200

→ 7200

Thus, the nearest hundred is 7200.

7,200

Rounding Rules :

If the number you are rounding is followed by a number less than 5 , you round down .

If the number you are rounding is followed by a number greater than  or equal to 5 , you round up .

Here we're asked to round \(\mathtt{7,190}\) to the nearest hundredth .

The number we're rounding is followed by a number greater than 5 , so we round up :

7,190 ---> 7,200

7,200

\(\small\text{hope\:helpful~}\)

Answer:

y = 8•6^x

Step-by-step explanation:

Here, we want to write an exponential equation

To fully write this, we need the values of a and b

From the first coordinates given;

8 = a•b^0

a = 8 since b^0 = 1

Furthermore;

288 = 8•b*2

b^2 = 36

b = √36

b = 6

So we have ;

y = 8•6^x

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

Step-by-step explanation:

11 x (5 + 4x) = 55

55 + 44x = 55

44x = 55 - 55

44x = 0

x = 0

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

check

11 x (5 + 4 x 0) = 55

11 x 5 + 0 = 55

55 = 55

Answer / Step-by-step explanation:

So when it comes to solving equations there are cases where you can take any many different steps first. Fortunately, in this case there's only one way to approach the problem easily, and it is by applying the distributive property of multiplication in order to solve the parenthesis. Check out the attached image.

Then, using the property, we can rewrite the equation as follows:

\(\sf (11)(5)+(11)(4x)=55\\ \\\rightarrow55+44x=55\)

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Answer:

             \(\underline{\,\underline{\bold{(x+2)^2-13}}\,}\)

Step-by-step explanation:

You can do it by completing the square:

\(x^2+4x-9\\\\\underbrace{x^2+4x+4}-4-9\)

We add 4 to complete the square but we also subtract 4 because we don't  want to change the equation (+4-4=0 so it doesn't change anything in equation)

\(x^2+4x+4=x^2+2\cdot x\cdot2+2^2\)

so we get:

\(\underbrace{x^2+4x+4}-4-9\\\\{}\quad (x+2)^2-13\)

The vertex is:  (-2, -13)

(because x+2=x-h  ⇒h=-2 and  +q=-13 ⇒ q=-13)

We can also use that:

\(ax^2+bx+c=a(x-h)^2+k\)   for   \(h=\frac{-b}{2a}\,,\quad k=ah^2+bh+c\)

\(x^2+4x-9\quad\implies\quad a=1\,,\ b=4\\\\h=\frac{-4}{2\cdot1}=-\frac42=-2\\\\k=(-2)^2+4(-2)-9=4-8-9=-13\\\\a(x-h)^2+k\\\\1(x-(-2))^2+(-13)\\\\(x+2)^2-13\)

Answer:

Darryl's TV is larger by 200 inches2

Step-by-step explanation:

Darryl's tv is 30*40 = 1200 inches2

Terrence's tv is 20*50 = 1000 inches2.

The waiter worked for 4 hours.

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Answer:

well there would be 1 ticket because if you had two then the total would be over 11 dollars it would be 12 dollars so it would have to be one ticket

Answer:

Is thIs Indian server??????

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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Answer:

9

Step-by-step explanation:

Substitute w = 3 into the expression

6w - 9

= 6(3) - 9

= 18 - 9

= 9

The recursive formula for the geometric sequence 4, 24, 144, 864, ... is aₙ = 6 * aₙ₋₁, where aₙ represents the nth term of the sequence.

A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio. To determine the recursive formula for the given geometric sequence, we need to identify the relationship between consecutive terms.

Let's analyze the given sequence:

4, 24, 144, 864, ...

To go from 4 to 24, we multiply by 6.

To go from 24 to 144, we multiply by 6.

To go from 144 to 864, we multiply by 6.

We observe that each term is obtained by multiplying the previous term by 6. Therefore, the common ratio is 6. The recursive formula for a geometric sequence can be written as aₙ = r * aₙ₋₁, where aₙ represents the nth term and r is the common ratio.

Substituting the common ratio 6 into the recursive formula, we get:

aₙ = 6 * aₙ₋₁

Hence, the recursive formula for the geometric sequence 4, 24, 144, 864, ... is aₙ = 6 * aₙ₋₁, where aₙ represents the nth term of the sequence.

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