the game of checkers is played on a square board if the length of one side of the board is 4^2 inches what is the are in square inches

We want to simplify the following expression

First, we can apply the distributive rule to rewrite this product

Then, using the following property

we can rewrite our expression as

We can remove the squared terms out of the root

and this is our answer.

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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The corollary states that for every positive real number ε, there exists a positive integer n such that

The corollary of the Archimedean principle states that for any positive real number ε, there exists a positive integer n such that ε is greater than the reciprocal of n, i.e., ε > 1/n. In other words, there exists a positive integer n such that the fraction 1/n is smaller than any given positive real number ε.

To prove this corollary, we can assume that ε is a positive real number. By the Archimedean principle, there exists a positive integer m such that m > ε. Now, consider the positive integer n = ⌈1/ε⌉ + 1, where ⌈x⌉ denotes the ceiling function, rounding up x to the nearest integer.

We have:

1/ε < 1/(⌈1/ε⌉ + 1) ≤ 1/(1/ε) = ε.

Therefore, we can conclude that for any positive real number ε, there exists a positive integer n = ⌈1/ε⌉ + 1 such that ε > 1/n.

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The length of the rectangle is 28 yards and the width is 16 yards.

The length and width of a rectangle are in a ratio of 7:4. To find the length and width, we need to use the given information that the perimeter is 88 yards.

Let's assume that the length of the rectangle is 7x and the width is 4x, where x is a common multiplier.

The formula for the perimeter of a rectangle is 2(length + width).

Substituting the values, we have:

2(7x + 4x) = 88

Combining like terms, we get:

2(11x) = 88

Simplifying further:

22x = 88

Dividing both sides by 22, we find:

x = 4

Now we can substitute the value of x back into our original assumption to find the length and width:

Length = 7x = 7 * 4 = 28 yards

Width = 4x = 4 * 4 = 16 yards

Therefore, the length of the rectangle is 28 yards and the width is 16 yards.

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Answer:

the question is?

Step-by-step explanation:

The first three pseudorandom numbers generated by the given relation are: a) R1 = 1, b) R2 = 7, c) R3 = 1.

Explanation: We start with the seed value R0 = 3. Using the given relation Rn+1 = (5Rn + 2) mod 9, we can calculate the subsequent values of Rn.

a) To find R1:

R1 = (5R0 + 2) mod 9 = (5 * 3 + 2) mod 9 = 15 mod 9 = 1

b) To find R2:

R2 = (5R1 + 2) mod 9 = (5 * 1 + 2) mod 9 = 7

c) To find R3:

R3 = (5R2 + 2) mod 9 = (5 * 7 + 2) mod 9 = 37 mod 9 = 1

Therefore, the first three pseudorandom numbers generated are: R1 = 1, R2 = 7, and R3 = 1.


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The correct expression for the exact distance between the two boys: 1000√2 m

The correct answer is an option (D)

Consider following diagram.

In right triangle ABC, AB represents the distance covered by the Marco and AC represents the distance covered by the Ray.

AB = 1000 m

AC = 1000 m

We need to find the correct expression for the exact distance between the two boys.

i.e., we need to find the length of hypotenuse BC.

Using Pythagoras theorem for right triangle ABC,

BC² = AB² + AC²

BC² = 1000² + 1000²

BC² = 1000000 + 1000000

BC² = 2 × 1000000

BC = \(\sqrt{2\times 1000000}\)

BC = 1000√2 m

Therefore, the distance between the boys = 1000√2

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Answer:

20090089$

Step-by-step explanation:

Answer: $359

Step-by-step explanation:

I got the same problem on DeltaMath- You use the formula A = P ( 1 + r/n ) ^nt

P = 4700

R = 0.055

T = 12

N = 4

You plug it in to get 9052.7283 and then subtract 8693.386 to get 359.3423 which rounds to 359

The value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

\(\rm y = 2x^2+bx+8\)

The above function shows the equation of the parabola.

From the graph, we can see the point(2, -8) lie on the graph of the function,

So point(2, -8) will satisfy the function.

Plug y = -8 and x = 2 in the function.

\(\rm -8 = 2(2)^2+b(2)+8\\\\-16 = 8+2b\\-24 = 2b \\b = -12\)

Thus, the value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

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diagonals of a parallelogram bisects each other making an angle of 90°.

so, your answer is True

Answer:

A. True

Step-by-step explanation:

The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.

Answer:

7a+43

Step-by-step explanation:

Answer:

36.6 meters

Step-by-step explanation:

1 yard is .9144 meters so 40 yards is 36.576 meters. (i rounded it)

The area of the base of the prism would be = 290cm²

To calculate the base area of the prism, the formula that should be used would be given below as follows:

The area of a triangle = 1/2× base × height.

Where;

Base = 20cm

Height = 29

Area = 1/2 × 20 × 29

Area = 290cm²

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The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.

Therefore, the answer is 130 degrees

Best of Luck!

answer:

130 degrees

explanation:

the angles "a" & "c" are opposite (also called congruent) so they are the same.

Answer:

10

Step-by-step explanation:

18 + 12 = 30 so it 40 student so it is 10 .

Answer:

12/12 + 18 = 100

Step-by-step explanation:

Use calculator

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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It is incorrect to say that the series converges only when x=2 since the value of x has no effect on the convergence of the given series. So, False.

The statement "The following series * \((2n+1)!-(x+2) Σ 2\)

Marked out of n = 0 25.00 is convergent only when x=2" is false.

What is a series?A series is an addition of infinite numbers. If the addition of an infinite number of terms is performed, then it is referred to as an infinite series. A series is said to be convergent if it sums up to a finite number. If the addition of an infinite number of terms is performed, and it sums up to infinity or negative infinity, it is referred to as a divergent series. The convergence or divergence of the series may be determined using various techniques.

What is a convergent series?

A convergent series is one in which the sum of an infinite number of terms is a finite number. In other words, if the sequence of partial sums converges to a finite number, the infinite series is said to be convergent. If a series is convergent, it implies that the sum of an infinite number of terms is a finite number. Conversely, if a series is divergent, it implies that the sum of an infinite number of terms is infinite or negative infinite.  

The given series * \((2n+1)!-(x+2) Σ 2\)Marked out of n = 0 25.00 is convergent only when x=2 is a false statement. The reason why this statement is false is that it has a typo.

The given series * \((2n+1)!-(x+2) Σ 2\) Marked out of n = 0 25.00 is a constant series, as it is independent of n. The sum of the series is 50.

Therefore, it is incorrect to say that the series converges only when x=2 since the value of x has no effect on the convergence of the given series.

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Answer:  B 2             (ﾉ◕ヮ◕)ﾉ*.✧          (+_+)

Step-by-step explanation:

To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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Answer:

1 inch = 54.7

Answer is 6.00+0.20-9.40

3.2

or

6.00-0.20-9.40

3.2

Answer:3.2

Step-by-step explanation:

The statement that is false is: " lf p q is true, then p is a necessary condition in order that q holds."

In a logical statement "p implies q" (p->q), if p is true, then q must be true as well. However, this doesn't mean that p is necessary for q to hold. A necessary condition means that p is required for q to be true, but it's not sufficient, it may be other conditions that are also needed. In this statement, p is a sufficient condition for q to hold, but it's not necessary. This statement is a logical converse of the second statement "If p q is true, then p is a sufficient condition in order that q holds."

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Answer:

There are 6 slices on each pizza

Step-by-step explanation:

Because 18 divided by 3 is 6

The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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In the given problem, we are provided with a p.d.f. for the random variable X as ce^(-6x) for x >= 0. Let's use this information to solve the questions:

(a) We know that the total area under the p.d.f. must be equal to 1. Therefore, we can set up the following integral and solve for c:

int0 to infinity = 1

=> c * int0 to infinity = 1

=> c * [(-1/6)*e^(-6x)] from 0 to infinity = 1

=> c * (0 - (-1/6)) = 1

=> c = 6

(b) To find the mean of Y, we first need to find the transformation function that relates X and Y. We know that Y = X^2, so we can use the transformation formula E(Y) = E(g(X)) = int(-infinity to infinity) (g(x) * f_X(x)dx) to find E(Y).

E(Y) = int(0 to infinity) (x^2 * 6e^(-6x)dx)

Using integration by parts, we can solve this integral to get E(Y) = 1/3.

To find the variance of Y, we use the formula Var(Y) = E(Y^2) - (E(Y))^2. We can use the formula for E(Y) that we just found, and also find E(Y^2) as:

E(Y^2) = int(0 to infinity) (x^4 * 6e^(-6x)dx)

Using integration by parts again, we get E(Y^2) = 1/9. Therefore, Var(Y) = 1/9 - (1/3)^2 = 2/27.

The squared coefficient of variation of X is defined as Var[X]/(E[X])^2. Using the mean and variance of X that we found in part (a), we get (Var[X]/(E[X])^2) = (1/36)/(1/36) = 1. Therefore, the squared coefficient of variation of Y is also 1.

(c) To compute Pr{X > 5}, we can use the p.d.f. that we were given. Since the p.d.f. is zero for x < 0, we only need to compute the integral from 5 to infinity:

Pr{X > 5} = int(5 to infinity) (6e^(-6x)dx)

= e^(-30)

(d) To compute Pr {X >5 | Y> 2}, we can use the formula for conditional probability:

Pr {X >5 | Y> 2} = Pr{X > 5 and Y > 2}/Pr{Y > 2}

Since Y > 2 implies X > sqrt(2), we can write the numerator as:

Pr{X > sqrt(2)} = int(sqrt(2) to infinity) (6e^(-6x)dx)

= e^(-3*sqrt(2))

To find the denominator, we can use the formula for the cumulative distribution function (c.d.f.) of Y:

F_Y(y) = Pr{Y <= y} = Pr{X^2 <= y} = Pr{-sqrt(y) <= X <= sqrt

A random variable is a numerical quantity that can take on different values based on the outcome of a random event. In this context, a probability density function (p.d.f.) describes the probability of observing different values of a random variable.

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Answer:

Step-by-step explanation:

12. 40h + 100 = 300

    40h = 200

    h = 5 hours

   answer is A

13. 4p - 4 = 48

     4p = 52

      p = $13

answer is C

14. e + 3e = 24

   4e = 24

    e = 6

16. 3p + $4.29 = $8.94

     3p = $4.65

    p = $1.55

  answer is B

17. 2x + 2x + x - 6 = 74

    5x - 6 = 74

    5x = 80

     x = 16

2(16) = spearmint gum

answer is D

15.  x + 2x + 10 = 76

    3x + 10 = 76

    3x = 66

   x = 22 years old

 2(22)= 44 years old

18. 2x + 26 = 54

    2x = 28

    x = 14

answer is B

Hence, the variable y can be entirely eliminated using by applying the identity property of elimination

the numerator of the rational expression in the simplest form is z

the denominator of the rational expression in the simplest form is x

expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

we have,

             \((\frac{xy^3}{yz^2} )(\frac{z^3}{y^2x^2} )\)

on simplifying,

we get.  \(\frac{z}{x}\)

Hence, the variable y can be entirely eliminated using by applying the identity property of elimination

the numerator of the rational expression in the simplest form is z

the denominator of the rational expression in the simplest form is x

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Answer:

2240

Step-by-step explanation:

plz fo"ow ms

mark me as brainlist

To find log (p³q²) base k and r in terms of p and/or q, we can use the properties of logarithms. The first step is to apply the power rule and rewrite the expression as log (p³) + log (q²) base k.

Using the power rule of logarithms, we can rewrite log (p³q²) base k as 3log p base k + 2log q base k. Since we are given logk p = 5 and logk q = -2, we substitute these values into the expression:

log (p³q²) base k = 3log p base k + 2log q base k

= 3(5) + 2(-2)

= 15 - 4

= 11.

Therefore, log (p³q²) base k is equal to 11.

Moving on to the second part, when logr = 9, we can rewrite this logarithmic equation in exponential form as r^9 = 10. Taking the ninth root of both sides gives r = √(10). Thus, r is equal to the square root of 10.

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