What is the absolute value of the integer –12

In general, in the case of two independent events X and Y,

Therefore, in our case,

On a graph, the absolute value of a number is always non-negative.

The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.

This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.

It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.

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The recursive definition of F(n) is F(0) = 0, F(n) = F(n – 1) + n for all n ≥ 1

A recursive function is a function that refers to itself in its definition. The recursive function is called when a certain condition is met. The base case is a recursive function that terminates without calling itself. It is used to avoid infinite recursion.Let F be the function such that F(n) is the sum of the first n non-negative integers. F(0) = 0, F(1) = 0+1 = 1, F(2) = 0+1+2 = 3, F(3) = 0+1+2+3 = 6. So, the function is adding up the first n non-negative integers. Therefore, the recursive definition of F(n) is F(0) = 0, F(n) = F(n – 1) + n for all n ≥ 1.

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On solving the four equations, it is obtained that the correct equation is option A: m = 12f - 8.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The figure number is represented by the variable f.

The number of match sticks is denoted by the variable f.

The first equation is -

m = 12f - 8

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = 12(1) - 8

m = 12 - 8

m = 4

Substitute f = 2 to obtain m = 16 as figure 2 contains 16 match sticks.

m = 12(2) - 8

m = 24 - 8

m = 16

Therefore, equation 1 is the correct option.

The second equation is -

m = 4f - 3

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = 4(1) - 3

m = 4 - 3

m = 1

The value for m obtained doesn't matches with the value of m given.

Therefore, equation 2 is the incorrect option.

The third equation is -

m = f + 3

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = (1) + 3

m = 1 + 3

m = 4

Substitute f = 2 to obtain m = 16 as figure 2 contains 16 match sticks.

m = (2) + 3

m = 2 + 3

m = 5

The value for m obtained doesn't matches with the value of m given for the second figure.

Therefore, equation 3 is the incorrect option.

The fourth equation is -

m = f + 12

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = (1) + 12

m = 1 + 12

m = 13

The value for m obtained doesn't matches with the value of m given.

Therefore, equation 4 is the incorrect option.

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Answer:

100%

Step-by-step explanation:

53+47=100

(a) The student repays $6200 ($5000 principal + $1200 interest) over 4 years. (b) Varies; paying interest is generally ethical, compensating the lender. Loan amount and duration impact interest and commitment.

(a) To calculate the amount repaid, we need to add the principal amount ($5000) to the interest accrued over the 4 years. The simple interest is calculated as I = P * R * T, where P is the principal amount, R is the interest rate (6% or 0.06), and T is the time period (4 years).

Interest accrued = 5000 * 0.06 * 4 = $1200

Amount repaid = Principal amount + Interest accrued = $5000 + $1200 = $6200

The student repays $6200 in total.

(b) Personal experiences and financial arrangements may vary for individuals. Regarding the ethical aspect, it is generally considered fair and ethical to pay interest when borrowing money, as the lender is sacrificing the opportunity cost of utilizing that money elsewhere. The amount and duration of the loan matter as they determine the interest accrued and the level of financial commitment.

Disclosure: As an AI, I don't have personal experiences or engage in financial transactions with family and friends.

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Answer:

First you need to plot points then add the points

Step-by-step explanation:

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

I think its 1/6

Step-by-step explanation:

cause there are six numbers so the probility is out of six

that could be wrong not 100% sure its been a while  

Answer: B

Step-by-step explanation:

By using the concept of probability, it can be calculated that

a) State space S(x) = {-1, 0, 1, 2}

b) The required probability mass function is

    P(X = -1) = \(\frac{125}{216}\)

    P(X = 0)  \(= \frac{25}{72}\)

    P(X = 1)  \(= \frac{5}{72}\)

    P(X = 2)  \(= \frac{1}{216}\)

c) Expected value of X  = -0.5

d) the stake of the gambler in  order to make this a fair game is $0.5

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

a) Let a number n be chosen between 1 and 6

Three fair six sided dice are thrown

The following cases can occur

1) Number n occur on none of the three dice

2) Number n occur on one dice

3) Number n occur on two dice

4) Number n occur on three dice

Let X denote your net win after one round of gambling (i.e., the payment received from the casino minus your stake)

1) X = 0  -1 = -1

2) X = 1 - 1 = 0

3) X = 2 - 1 = 1

4) X = 3 - 1 = 2

State space S(x) = {-1, 0, 1, 2}

b) P(X = -1) = \({3 \choose 0}(\frac{1}{6})^0(\frac{5}{6})^3 = (\frac{5}{6})^3 = \frac{125}{216}\)

    P(X = 0) = \({3 \choose 1})(\frac{1}{6})(\frac{5}{6})^2 = \frac{25}{72}\)

    P(X = 1) = \({3 \choose 2}(\frac{1}{6})^2\frac{5}{6} = \frac{5}{72}\)

    P(X = 2) = \({3 \choose 3}(\frac{1}{6})^3(\frac{5}{6})^0 = \frac{1}{216}\)

    The required probability mass function is

    P(X = -1) = \(\frac{125}{216}\)

    P(X = 0)  \(= \frac{25}{72}\)

    P(X = 1)  \(= \frac{5}{72}\)

    P(X = 2)  \(= \frac{1}{216}\)

c) Expected value of X = \(-1 \times \frac{125}{216} + 0 \times \frac{25}{72} + 1 \times \frac{5}{72} + 2\times \frac{1}{216}\)

                                      = \(\frac{-125 + 0 + 15 +2}{216}\\\)

                                      = \(-\frac{108}{125}\)

                                      = -0.5

d) The gambler looses $0.5 on a average

   So this is not a fair game

   Let the stake of the gambler in  order to make this a fair game be t

   By the problem,

   -0.5 + t = 0

     t = 0 + 0.5

     t = $0.5

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Answer: the answer is C

Step-by-step explanation: AP3X

The total cost is $249,739.

A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.

We have,

P = $105, 000

T = 40 year

R = 5.2%

Using

Monthly payment, P = C[i(1+i\()^n\)]/[(1+i\()^n\)-1]

P = 105,000 [ 0.052/12(1+0.052/12\()^{480\)]/[(1+0.052/12\()^{480\\\)-1]

P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]

P = 105,000 [ 0.03372318] / (6.8426)

P = $249,739

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the solution w = -36 is correct

The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:

Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.

Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.

Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.

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Answer:

Step-by-step explanation:

The price decreased by 50, and that is 25% of 200.

Answer:

The answer is 20%

Step-by-step explanation:

I'm not amazing at percentages so this is what I did. Search up 20 percent of 250. Then it says 50. 250 minus 200 is 50, so the answer is 20%

I hope this helped and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

Answer:

hey! you can use it!!

Step-by-step explanation:

thanks

Answer:

Step-by-step explanation:

P/6

Option D is correct, the proportion for corresponding sides is 12/4 = 24/8.

According to the statement

we have given that the two rectangle which are similar to each other and we have to find the correct proportion for corresponding sides of rectangles.

So, we know that the

For the two rectangles to be similar, it means the ratio of their corresponding sides must be the same.

Looking at the two rectangles, the corresponding sides are pf the rectangles are:

4 m side corresponds to 8 m side in rectangle A

12m side corresponds to the 24 m side in rectangle B.

Then

The ratios of the both rectangles are:

In rectangle A is 8/4 = 2

In rectangle B is 24/12 = 2

From this it is clear that the ratios are equal.

Thus, the scale factor is 2

Since 8/4 = 24/12, we can rearrange to get;

12/4 = 24/8.

So, Option D is correct, the proportion for corresponding sides is 12/4 = 24/8.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The two rectangles are similar with sides 4 m side corresponds to 8 m side in rectangle A and 12m side corresponds to the 24 m side in rectangle B.which is the correct proportion for corresponding sides?

A. 12/3 = 24/12.

B. 12/2 = 27/8.

C. 11/4 = 23/8.

D. 12/4 = 24/8.

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Answer:

answer is 20................................

Answer:

Its a b d and f

Step-by-step explanation:

I hope I helped

Answer:

Step-by-step explanation:

No it is not a polynomial

Answer: 3/2

Step-by-step explanation: Rate of change is the same thing as the slope.

Based on the provided information, it is most likely that the array "toy" is a matrix. A matrix is a two-dimensional array where each element is of the same data type.

Looking at the given representation of "toy" on the console, we see that it is arranged in a grid-like structure with rows and columns. The elements in the array are separated by spaces, and there are consistent patterns in the arrangement, such as numbers and letters appearing in specific positions. This suggests a structured organization, characteristic of a matrix.

While it is possible that "toy" could be a different type of array, such as a jagged array or a list of lists, the given representation strongly suggests a matrix-like structure. Additionally, the presence of numerical and alphabetical elements arranged in a grid further supports the idea of a matrix. Therefore, the most likely option is that "toy" is a matrix.

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a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.

(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:

0² + y² + 6(0) - 4y = 12

y² - 4y = 12

y² - 4y - 12 = 0

To solve this quadratic equation, we can factor it:

(y - 6)(y + 2) = 0

Setting each factor to zero, we find two possible values for y:

y - 6 = 0 => y = 6

y + 2 = 0 => y = -2

Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).

(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:

x² + y² + 6x - 4y = 12

(x² + 6x) + (y² - 4y) = 12

(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4

(x + 3)² + (y - 2)² = 25

Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.

Therefore, the radius of the circle is 5.

(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates into the formula, we have:

CP = √((2 - (-3))² + (5 - 2)²)

= √(5² + 3²)

= √(25 + 9)

= √34

Therefore, the length of CP is √34.

(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.

Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.

Therefore, the length of PQ is equal to 2 times the length of CP:

PQ = 2 * CP

= 2 * 5

= 10

Therefore, the length of PQ is 10.

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The estimated winners' prize in 2040, assuming the same rate of increase per year, is approximately $54,680,580,063,400.

The initial value is $150, and the final value is $1,163,000. The number of years between 1895 and 2007 is 2007 - 1895 = 112 years.

Using the formula for percentage increase:
Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100
= [(1,163,000 - 150) / 150] * 100
= (1,162,850 / 150) * 100
= 775,233.33%

Therefore, the winners' check increased by approximately 775,233.33% over the period from 1895 to 2007.

To estimate the winners' prize in 2040, we assume the same rate of increase per year. We can use the formula:
Future Value = Initial Value * (1 + Percentage Increase)^Number of Years

Since the initial value is $1,163,000, the percentage increase per year is 775,233.33%, and the number of years is 2040 - 2007 = 33 years, we can calculate the future value:

Calculating this expression:
Future Value = 1,163,000 * (1 + 775,233.33%)^33

Using a calculator or computer software, we can evaluate this expression to find the future value. Here's the result:

Future Value ≈ $1,163,000 * (1 + 77.523333)^33 ≈ $1,163,000 * 47,051,979.42 ≈ $54,680,580,063,400

Therefore, based on the assumed rate of increase per year, the estimated winners' prize in 2040 would be approximately $54,680,580,063,400.

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The z-score formula standardizes values to find probabilities from a standard normal distribution table. The probability for a single value between 106.4 and 108.4 is 0.0509. For a sample of size n=146 with a mean between 106.4 and 108.4, the probability is 0.1331.

Using the z-score formula, we can standardize the values and find the corresponding probabilities from a standard normal distribution table:

For a single randomly selected value:

z1 = (106.4 - 109.1) / 15 = -0.18

z2 = (108.4 - 109.1) / 15 = -0.05

P(-0.18 < Z < -0.05) = P(Z < -0.05) - P(Z < -0.18)

= 0.4801 - 0.4292

= 0.0509

Therefore, the probability that a single randomly selected value is between 106.4 and 108.4 is 0.0509.

For a sample of size n=146:

The sampling distribution of the sample mean follows a normal distribution with a mean of μ and a standard deviation of σ/√n.

z1 = (106.4 - 109.1) / (15 / √146) = -3.34

z2 = (108.4 - 109.1) / (15 / √146) = -1.11

P(-3.34 < Z < -1.11) = P(Z < -1.11) - P(Z < -3.34)

= 0.1335 - 0.0004

= 0.1331

Therefore, the probability that a sample of size n=146 is randomly selected with a mean between 106.4 and 108.4 is 0.1331.

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Answer and Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

We are given that the slope is -7 and that the y-intercept is 7.

Slope - The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (where the y represents the rise (or fall) and the x represents the run).

The equation of a slope would look like this: \(\frac{y}{x}\).

Since the slope is -7, we plug that in for y, which will be the fall. 1 will be the x.

\(-\frac{7}{1}\).

The y-intercept means its on the y-axis and since we are given the y-intercept is 7, we go up 7 units on the graph and place a dot.

From that point, we go down 7 units and right 1. Place a dot here. Continue doing this until you run off the page. Go back to (0, 7), and go up 7 and left 1. Place a dot here, then repeat the process.

This will be your line. (Look at picture)

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Comparison of Manueala's relative number points:

1 1/2 > - 4 1/2

Manueala scored more points against the China Dragons than against Canada Moose .

The correct answer is A.

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given,

Manueala scores relative to average against China Dragons

= -4 1/2 points

Manueala scores relative to average against Canada Moose

= 1 1/2 points

If Manueala scored x points,

season average against China Dragons is y.

season average against Canada Moose = z

x - y = -4 1/2

x - z = 1 1/2

∵ 1 1/2 > - 4 1/2

∴ x - z > x - y

- z > -y

⇒ z < y

Hence,

Relative scores to both seasons can be written as inequality

1 1/2 > - 4 1/2

Season average against China Dragons is more than season average against Canada Moose.

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     In a point-to-point graph, also known as a line graph, particular values of a function are represented graphically by dots on a coordinate plane. Straight lines connect adjacent pairs of dots.

    Choose x and work out the equation for y, or, to locate points on the line y = mx + b. Decide on y, then find x.

         Depending on your preference, you can plot points one at a time, a few on a line, or all at once in a table. Start with the video on the right before continuing to the resources and challenges below to learn more.

          The point (-4, 482) is located on the y=6f[-(x-5)] graph. -4 What is the fundamental idea behind y=f(x).

  If x=-4 and y=482 are subtracted from y=6f[-(x-5)],

I obtain the result f=9 at -4.

When I adjust the slider to f=9 and enter y=6f[-(x-5)]-4 into Demos, the line goes through the point (-4,482)

Does this imply that y=9x is the solution.

None of this actually makes sense to me. I don't understand a single thing. Just rearranging the numbers is all. There were NO examples in the lessons of an equation with a "y". Additionally, the left side of the equation in each example contained "f(x)" or "g(x)".

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the probability that Meena will win  = 8/9

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.

Meena must triumph in the subsequent turn or the one after it in order to win; else, she loses. The likelihood of that is determined by deducting the likelihood of the complimentary event, Bob winning in the following two turns, from one. The likelihood of Bob winning the following two turns may be calculated by taking the square of the probability of him winning on one turn because each turn is independent of the others; hence, it is

= (1/3)^2

= 1/9

the probability that Meena will win = 1- 1/9

                                                           = 8/9

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