Select the correct answer.
What is the effect on the graph of f (x) = |z|when the function is changed to g(x) = |(z −1)|?
OA
SO B.
OC.
OD.
The graph is stretched vertically and shifted up 1 unit.
The graph is compressed horizontally and shifted down 1 unit.
The graph is stretched horizontally and shifted 1 unit to the right.
The graph is compressed vertically and shifted 1 unit to the left.

Answer:

Step-by-step explanation:

To start with the slope is given as 1/2

y = 1/2 x + b

When x = 5, y  = - 5

- 5 = 1/2 * 5 + b

- 5 = 2.5 + b

b = -5 - 2.5

b = - 7.5

Equation

y = 1/2 x - 7.5

There are 20 different arrangement that three married couples can sit at a round table together.

The number of ways that a number of things can be ordered or arranged is known as an arrangement number, also known as a permutation number or simply a permutation. Generally speaking, a grouping of objects constitutes an arrangement. Both combinations and permutations can be used to determine how many "arrangements" there are of the components (order is significant). An arrangement is another term for the split of space into cells by a set of hyperplanes (Agarwal and Sharir 2000).

What is the procedure for making arrangements?

Let's say we have n objects, and we need to make arrangements for r of them. The numbers of ways in which the arrangement can take place are given by permutation as \(nPr = \frac{n!} {(n-1)!}.\)

There are 6 guests, so the total number of arrangements is 6!.

The number of distinct arrangements for 6 guests at a round table is\(6!/6 = 720/6 = 120.\)

This gives us 3! arrangements for each group of identical arrangements, so the final answer is\(120/3! = 120/6 = 20.\)

There are 20 distinct arrangements where three married couples can sit together at a round table.

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Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that somebody sits next to his or her spouse?

Hint. Label the seats, the individuals, and the couples. There are 6! = 720 seating arrangements altogether. Apply inclusion-exclusion to the events A₁ = {ith couple sit next to each other), i = 1, 2, 3. Count carefully the numbers of arrangements in the intersections of the A;s.

The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

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The probability that Julia will have no spelling mistakes on a single page is 0.7. Since Julia is equally likely to have a spelling mistake on each page of her 44-page draft, we need to find the probability that she will have no spelling mistakes on at least one of the pages.

To calculate this probability, we can find the complement, which is the probability of having at least one spelling mistake on any page. The complement can be calculated by subtracting the probability of having no spelling mistakes on any page from 1.

The probability of having no spelling mistakes on any page is (0.7)^44 since each page has an independent probability of 0.7 of having no spelling mistakes.

Therefore, the probability of having at least one spelling mistake on any page is 1 - (0.7)^44.

By substituting the values, we find that the probability of Julia having no spelling mistakes on at least one of the 44 pages is approximately 0.999999999999999999999999998. This means that it is highly unlikely for Julia to have no spelling mistakes on any of the pages, given the probability of no mistakes on a single page.

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In linear equation, 24.9  tall is the tree .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

We can set up a proportion comparing the height of each object to the length of the shadow.

     h/15 = 21.1/12.7

     h = 1.66 * 15  

   h   = 24.9

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See attachment for math work and answer.

Answer:

I believe that it is x=9

Step-by-step explanation:

sorry if im wrong im not 100% sure

Answer: C 41 degrees

Step-by-step explanation:

Answer: The hands of the clock form a 120° angle twice every 12-hour period, which means it happens at two times per day. The two times are approximately 4:24 and 7:38.

Step-by-step explanation:

This systematic division of land into townships and sections allows for efficient land management, property ownership delineation, and legal descriptions of land parcels within the rectangular government survey system.

Sections and townships are integral components of the rectangular government survey system used in the United States to divide and manage land. They are related to each other in the following manner:

1. Township: A township is a square tract of land that measures 6 miles by 6 miles (36 square miles) and serves as a foundational unit within the survey system. Townships are designated by their position relative to a baseline and meridian reference point.

2. Section: Each township is further divided into 36 equal sections, each measuring 1 mile by 1 mile (640 acres). These sections are labeled from 1 to 36 and are numbered in a specific order from left to right and top to bottom within a township.

Thus, a township consists of 36 sections, with each section covering 640 acres. This systematic division of land into townships and sections allows for efficient land management, property ownership delineation, and legal descriptions of land parcels within the rectangular government survey system.

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Answer:

the error is the last step. and the solution is 9

Step-by-step explanation:

8-5c=-37

-8         -8

-5c/-5 = -45/-5

c= 9                               i hope that helps you bobby:)

Answer:

The other brother bought 6

Step-by-step explanation:

10 books in total

4 books bought by one brother

10 - 4 = 6

Answer:

2b+4b=10b  the other brother bought 6 books.

Since we already know how many the other brother bought, we don't need to find that information.

Step-by-step explanation:

2b+4b=10b

combine like terms and subtract.

6b=10b

=4b

(hope this is correct.)

The zeros of the function \(f(x) = x^2 - 5x + 5\), written in simplest radical form, are not rational numbers.  We get \(x = (5 ± √5)/2\). These are the zeros of the function in the simplest radical form.

The zeros of the function \(f(x) = x^2 - 5x + 5,\)written in simplest radical form, are not rational numbers.

To find the zeros, you can use the quadratic formula.

The quadratic formula states that for a quadratic equation in form\(ax^2 + bx + c = 0\), the solutions are given by \(x = (-b ± √(b^2 - 4ac))/(2a).\)

In this case, a = 1, b = -5, and c = 5.

Plugging these values into the quadratic formula, we have \(x = (5 ± √(25 - 20))/(2).\)

Simplifying further, we get \(x = (5 ± √5)/2.\)

These are the zeros of the function in the simplest radical form.

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The zeros of the function \(f(x) = x^2 - 5x + 5\) written in simplest radical form are\(\(\frac{\sqrt{5} + 5}{2}\)\) and \(\(\frac{-\sqrt{5} + 5}{2}\)\).

The zeros of a function are the values of \(x\) that make the function equal to zero. To find the zeros of the function \(\(f(x) = x^2 - 5x + 5\)\), we can set the function equal to zero and solve for \(x\).

\(\[x^2 - 5x + 5 = 0\]\)

To solve this quadratic equation, we can use the quadratic formula:

\(\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]\)

In this case, \(\(a = 1\), \(b = -5\)\), and \(c = 5\). Plugging these values into the quadratic formula, we have:

\(\[x = \frac{-( -5) \pm \sqrt{(-5)^2 - 4(1)(5)}}{2(1)} = \frac{5 \pm \sqrt{25 - 20}}{2}\)= \(\frac{5 \pm \sqrt{5}}{2}\]\)

So the zeros of the function\(\(f(x) = x^2 - 5x + 5\) are \(\frac{5 + \sqrt{5}}{2}\) and \(\frac{5 - \sqrt{5}}{2}\).\)

In simplest radical form, the zeros are\(\(\frac{\sqrt{5} + 5}{2}\) and \(\frac{-\sqrt{5} + 5}{2}\).\)

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Answer:

(7, 3)

Step-by-step explanation:

If we reflect a point/figure across the y-axis, the rule is (x, y) -> (-x, y).  

Now, let's reflect it against the y-axis again.

As you can see, we're back to where we started- at (7, 3). Thus, we can conclude that reflecting across the y-axis twice will result in the original point/figure.

The pattern is attached in the image provided with the work.

I have started off listing 4 terms and then 3 blanks

so we can study the pattern and find the next few terms.

Here, notice that the difference between -5 and 1/2 and -5 is +1/2.

The difference between -5 and -4 and 1/2 is +1/2

and the difference between -4 and 1/2 and -4 is +1/2.

Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.

-3 and 1/2 + 1/2 will be equal -3

and -3 + 1/2 will be equal to -2 and 1/5.

the city grew by approximately 3 percent from 2010 to 2020.

To find out the percent growth from 2010 to 2020, we need to calculate the net percent change over the entire time period. We can start by finding out the population of the city in 2015.

From 2010 to 2015, the population grew by 6.6%. Using this percentage increase, we can find the population in 2015 by multiplying the 2010 population by 1.066:

179,000 x 1.066 = 190,294

Therefore, the population in 2015 was approximately 190,294.

From 2015 to 2020, the population fell by 3.4%. Using this percentage decrease, we can find the population in 2020 by multiplying the 2015 population by 0.966:

190,294 x 0.966 = 183,902

Therefore, the population in 2020 was approximately 183,902.

To find the net percent change from 2010 to 2020, we can use the formula:

[(final value - initial value) / initial value] x 100

Plugging in the numbers we found, we get:

[(183,902 - 179,000) / 179,000] x 100 = 2.7%

Therefore, to the nearest whole number, the city grew by approximately 3% from 2010 to 2020.

The city experienced a period of growth from 2010 to 2015, followed by a period of decline from 2015 to 2020. However, overall, the city still managed to grow by approximately 3% over the entire time period.


1. Calculate the population in 2015 by applying the 6.6% growth:
2015 Population = 179,000 * (1 + 6.6/100) = 179,000 * 1.066 ≈ 190,814

2. Calculate the population in 2020 by applying the 3.4% decline:
2020 Population = 190,814 * (1 - 3.4/100) = 190,814 * 0.966 ≈ 184,302

3. Calculate the overall percentage growth from 2010 to 2020:
Percentage Growth = ((2020 Population - 2010 Population) / 2010 Population) * 100
Percentage Growth = ((184,302 - 179,000) / 179,000) * 100 ≈ 2.96%


Considering the population growth and decline in the respective periods, the city's population grew by approximately 3% from 2010 to 2020, to the nearest whole number.

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Therefore, the value of the investment after 3.5 years, rounded to two decimal places, is approximately $2365.15.

Percent (symbol: %) is a way of expressing a fraction or a ratio as a portion of 100. It literally means "per hundred" Percentages are commonly used to express proportions or rates of change. For example, if a store has a 20% discount on a product, it means that the price of the product is reduced by 20% of its original price. Similarly, if a stock price has increased by 10%, it means that the current price is 110% of its original price.

Here,

The formula given for the value of the investment after t years is:

\(V(t) = 2000 * (1 + 0.04/12)12^{12t}\)

To find the value of the investment after 3.5 years, we can substitute t = 3.5 into this formula:

\(V(3.5) = 2000 * (1 + 0.04/12)12^{12*3.5}\)

= 2000 * (1.00333333333)⁴²

≈ 2365.15

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The probability that the sample average amount of time taken on each day is at most 11 min is 0.5167

To solve for the probability proportion, we make use of the z statistic. The procedure to do is to calculate for the z value and using the standard probability tables, we can look up for the p value. The formula for z score is:

z =(x – μ) / (σ / √n))

where,

x = sample score = 11

μ = sample mean= 10

σ = standard deviation = 4

n = sample size

Calculating for the z and p value when n = 5:

z =(11 – 10) / (2 /√(5))

z = 0.55

Using the tables, p(5) = 0.7088

Calculating for the z and p value when n = 6:

z =(11 – 10) / (4/ √6))

z = 0.61

Using the tables, p(6) = 0.7290

If both days should be occurring, therefore the total probability that each day is at most 11 min is:

p total = p(5) * p(6)

p total = 0.7088 * 0.7290

p total = 0.5167

Hence the average amount of time taken on each day is at most 11 min.

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The probability that one or more servers are operational can be calculated using the complement rule: P(at least one server operational) = 1 - P(all servers fail).

To calculate the probability that one or more servers are operational, we can use the complement rule. The complement rule states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

In this case, let's assume that the probability of a server failing is 0.05. Since the failure of one server is independent of the other servers, the probability of all servers failing is the product of the individual failure probabilities. Therefore, the probability that all servers fail is (0.05)^3 = 0.000125.

Using the complement rule, the probability that at least one server is operational is 1 - 0.000125 = 0.999875. Thus, there is a very high likelihood, approximately 99.99%, that one or more servers are operational, given the independent failure probability of 0.05 for each server.

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Answer:

14.45

Step-by-step explanation:

The correct answer is 22

Answer: the answer is 750ml

Step-by-step explanation:

you need 250 times 3 which equals 750ml water the the

answer is 750ml

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = \(a^x\)

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

The examples of exponential functions are:

f(x) = \(2^x\)

f(x) = 1/ \(2^x\) = \(2^-x\)

f(x) =\(2^(x+3)\)

f(x) = \(0.5^x\)

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Answer:

80%

Step-by-step explanation:

10$ = 100%

1$ = 10%

if you take away 2$ which is 20% your left with 80%

Answer:

2.125

Step-by-step explanation:

Answer:

uh-

Step-by-step explanation:

hmmm.. tough

Answer:

p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Given the following probabilifu distribution :

Probability that show had animals in it :p(A) = 0.7

Probability that show aired more than 10 times : p(more than 10) = 0.4

Probability that show had animals and aired more than 10 times: p(A n more than 10) = 0.2

Recall:

P(A or B) = p(A) + p(B) - p(A n B)

Hence,

p(A or more than 10) = p(A) + p(more than 10) - p(A n more than 10)

p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9