The minimum SOP form of the following function F=x (voz) Oxz+yz+x'y'z Oxyz'+xy'z+xyz+xyz' Oxyz+xy'z'+xyz'+xyz Oxy+xz+x'y'z A Moving to the next question prevents changes to this answer.

Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

Answer: 4/8 x 5/8 simplifies to 5/16.

Step-by-step explanation: To multiply these fractions, you simply multiply the numerators together and the denominators together.

So:

4/8 x 5/8 = (4 x 5) / (8 x 8) = 20/64 = 5/16

Therefore, 4/8 x 5/8 simplifies to 5/16.

Answer:

20/64 or 5/16

Step-by-step explanation:

4/8×5/8=4×4/8×8=20/64

Simplifying we get 5/16

Answers:

\(h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\\)

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

\(x = -\frac{b}{2a}\)

For example, if we had the quadratic \(y = 3x^2-6x+5\), then we'll plug in a = 3 and b = -6 to get: \(h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1\)

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

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

\(y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\\)

\(k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\\)

It's interesting how we end up with the numerator of \(-b^2+4ac\) which is similar to \(b^2-4ac\) found under the square root in the quadratic formula. There are other ways to express that formula above. We need \(a \ne 0\) to avoid dividing by zero. The values of b and c are allowed to be zero.

Answer:

The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.

Step-by-step explanation:

plato

The midterm grades is the grade that is more unusual

for the midterm

the mean = 80 + 78 + 85 + 82 + 79 +79 + 78 + 86 + 80 + 84 / 10

= 81.1

Then the standard deviation is

Variance = [(80-81.1)² + (78-81.1)² + (85-81.1)² + (82-81.1)² + (79-81.1)² + (79-81.1)² + (78-81.1)² + (86-81.1)² + (80-81.1)² + (84-81.1)²] / 10

sd = 2.961

z = 86-81.1/2.961

= 1.66

For the final

Mean = (81 + 88 + 68 + 69 + 69 + 81 + 82 + 86 + 76 + 71) / 10

= 771 / 10

= 77.1

Therefore, the mean of the given numbers is 77.1.

To find the standard deviation, we first need to find the variance. The variance is calculated by finding the average of the squared differences between each number and the mean:

Variance = [(81-77.1)² + (88-77.1)² + (68-77.1)² + (69-77.1)² + (69-77.1)² + (81-77.1)² + (82-77.1)² + (86-77.1)² + (76-77.1)² + (71-77.1)²] / 10

SD = 7.490

z= (86-77.1) / 7.490 = 1.188

Given that 1. 66 is greater that 1.188, we would have to conclude that the midterm is more unusual

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Complete question

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Jaymes's wants to know which grade is more unusual, the midterm grade or the final exam grade. Use Use a TI-83, TI-83 Plus, or TI-84 calculator to calculate the z-scores corresponding to each grade. Round your answer to three decimal places.

Midterm 80, 78, 85, 82, 79, 79, 78, 86, 80, 84,

final 81, 88, 68, 69, 69, 81, 82, 86, 76, 71

The foil was approximately 3.4 × 10⁷ atoms thick.

Rutherford's foil was made of gold and was used in his famous alpha particle scattering experiment. The thickness of the foil can be calculated by dividing its actual thickness by the diameter of a single gold atom.

Let's assume that the gold atoms in the foil are arranged in a simple cubic lattice. In this case, the actual thickness of the foil can be calculated as the number of gold atoms along one edge of the cube times the diameter of a single gold atom:

actual thickness = number of atoms × diameter of a single atom

To calculate the number of gold atoms, we need to know the density of gold and the mass of the foil. Let's assume that the density of gold is 19.3 g/cm³ and the mass of the foil is 0.6 mg = 6.0 × 10⁻⁷ kg.

The volume of the foil can be calculated as its mass divided by its density:

volume = mass / density = 6.0 × 10⁻⁷ kg / (19.3 × 10³ kg/m³) = 3.11 × 10⁻¹⁰ m³

The volume of the foil is also equal to the product of its actual thickness, the area of one face of the cube (which is the square of the number of atoms along one edge), and the volume of a single gold atom (which is (4/3)πr³, where r is the radius of the atom):

volume = actual thickness × (number of atoms)² × (4/3)πr³

Substituting the diameter of a single gold atom (2.9 × 10⁻¹⁰ m) for 2r, we get:

volume = actual thickness × (number of atoms)² × (4/3)π(1.45 × 10⁻¹⁰ m)³

Equating the two expressions for the volume of the foil, we get:

actual thickness × (number of atoms)² × (4/3)π(1.45 × 10⁻¹⁰ m)³ = 3.11 × 10⁻¹⁰ m³

Solving for the number of atoms, we get:

number of atoms = √(3.11 × 10⁻¹⁰ m³ / [(4/3)π(1.45 × 10⁻¹⁰ m)³]) ≈ 3.4 × 10⁷

So the foil was approximately 3.4 × 10⁷ atoms thick.

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Answer:

222x + 888 = 303030

Step-by-step explanation:

If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.

Hope this helps!

Answer:

8+2x=30

Step-by-step explanation:

did it on khan its correct

Answer: 48 in^2

Step-by-step explanation:

Let's solve each shape

1. The first shape is a rectangle; take 5 times 2 = 10 in^2

2. The second shape is a square; take 2 times 2 = 4 in^2

We see that there are 4 rectangles and 2 squares.

So, we take 10 times 4 = 40 in^2

Then we take 4 times 2 = 8 in^2

Then we add 40 with 8 = 48 in^2

Answer:

The answer is C my good sir

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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A Pentagon

A Dodecagon

A Decagon

Sure hope this helps you

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Answer:  your equation is poorly written/wrong hence I used the equation below

answer :  $289156.63

Step-by-step explanation:

applying the formula to calculate monthly repayment of Mortgage

M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]  -----  ( 1 )

M = Total monthly payment = 800 * 12 * 30 = $ 288,000

P = ?

r = 5.2% / 12 = 0.4%

n = 30 * 12 = 360 months

Back to equation 1

P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]

   = 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]

   = 288,000 / -0.996  =  - $289156.63 ( It has a negative value because It is a loan borrowed )

The graph with slope 3/4 is shown below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

y= 3/4x -3

From the above equation we can see that

slope, m= 3/4

which shows the rise of 3 units and horizontal unit and run of 4 units,

The following graph represent the slope 3/4.

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The given sequence \(a_{n}\)  does not converge, but instead diverges to infinity.

In mathematics and analysis, the terms "convergence" and "divergence" are used to describe the behavior of a sequence, which is an ordered list of numbers that are generated according to a certain pattern.

\(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&= \frac{n}{\sqrt{n}} \\\lim_{{n \to \infty}} |a_n| &= \lim_{{n \to \infty}} \frac{n}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \frac{\sqrt{n} \cdot \sqrt{n}}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \sqrt{n}\end{align*}\)

As n approaches infinity, √n also approaches infinity. Therefore, the limit of ∣\(a_{n}\)| as n approaches infinity is also infinity.

Since, the absolute value of the sequence |\(a_{n}\)| approaches infinity as

n approaches infinity, the sequence \(a_{n}\) does not converge, but instead diverges to infinity.

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Correct Question:find whether the sequence converges or diverges \(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&\) ?

The given sequence \(a_{n}\)  does not converge, but instead diverges to infinity.

In mathematics and analysis, the terms "convergence" and "divergence" are used to describe the behavior of a sequence, which is an ordered list of numbers that are generated according to a certain pattern.

\(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&= \frac{n}{\sqrt{n}} \\\lim_{{n \to \infty}} |a_n| &= \lim_{{n \to \infty}} \frac{n}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \frac{\sqrt{n} \cdot \sqrt{n}}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \sqrt{n}\end{align*}\)

As n approaches infinity, √n also approaches infinity. Therefore, the limit of ∣\(a_{n}\)| as n approaches infinity is also infinity.

Since, the absolute value of the sequence |\(a_{n}\)| approaches infinity as

n approaches infinity, the sequence \(a_{n}\) does not converge, but instead diverges to infinity.

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Correct Question:find whether the sequence converges or diverges \(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&\) ?

Answer:

27

Step-by-step explanation:

At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.

To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.

So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.

Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.

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Answer:

4 + 2.5x=cost

Step-by-step explanation:

Yes, that's correct. When a figure is dilated from the origin, each ordered pair of the figure is transformed according to the rule

What is dilation in maths ?

A dilation is a function f from a metric space M into itself that fulfils the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real number.

Yes, that's correct!

When a figure is dilated from the origin, each ordered pair of the figure is transformed according to the rule (x, y) → (kx, ky), where k is the scale factor. The scale factor determines the size of the dilation; if k > 1, the dilation increases the size of the figure, while if 0 < k < 1, the dilation decreases the size of the figure. If k = 1, the figure remains unchanged.

It's important to note that dilations preserve the orientation of the figure and can be thought of as a non-uniform scaling of the figure.

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The number of realizations exists to draw 5 balls of 43 is equal to 43,949,268 .

Balls are numbered from 1 to 43

Number of balls drawn in a lottery = 5

To calculate the number of possible realizations to draw 5 balls from a set of 43,

Use the concept of combinations.

The number of combinations of 5 balls chosen from a set of 43 can be calculated using the formula,

C(n, k) = n! / (k! × (n - k)!)

where n is the total number of items and k is the number of items chosen.

Here, we have,

n = 43 (total number of balls)

k = 5 (number of balls to be drawn)

Plugging in these values into the formula, we get

C(43, 5) = 43! / (5! × (43 - 5)!)

Simplifying further,

C(43, 5) = 43! / (5! ×38!)

Simply this we get,

⇒C(43, 5) = 43,949,268

Therefore, there are 43,949,268 possible realizations to draw 5 balls from a set of 43.

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a) The limit of F(x) as x approaches 1 from the left side (-) is -2.

b) The limit of F(x) as x approaches 1 from the right side (+) is 0.

c) The limit of F(x) as x approaches 1 exists, but it is not equal from both sides. Therefore, the limit of F(x) as x approaches 1 does not exist.

For part a, when x approaches 1 from the left side, the function F(x) takes the value -2x + 4. Substituting x = 1 into this expression gives us -2(1) + 4 = -2.

For part b, when x approaches 1 from the right side, the function F(x) takes the value √(x - 1). Substituting x = 1 into this expression gives us √(1 - 1) = √0 = 0.

Since the values of F(x) approach different values as x approaches 1 from the left and right sides, the limit of F(x) as x approaches 1 does not exist.

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The graphs that display the same data are a.  I and II

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

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Answer:

a

Step-by-step explanation:

2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

Isabella would have $2970.63 in the account 14 years after her initial investment.

Isabella invested $1300 in an account that pays 4.5% interest compounded annually.

Assuming no deposits or withdrawals are made, find how much money Isabella would have in the account 14 years after her initial investment. Round to the nearest tenth (if necessary).

The formula for calculating the compound interest is given by

A=P(1+r/n)^(nt)

where A is the final amount,P is the initial principal balance,r is the interest rate,n is the number of times the interest is compounded per year,t is the time in years.

Since the interest is compounded annually, n = 1

Let's substitute the given values in the formula.

A = 1300(1 + 0.045/1)^(1 × 14)A = 1300(1.045)^14A = 1300 × 2.2851A = 2970.63

Hence, Isabella would have $2970.63 in the account 14 years after her initial investment.

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If the price on the tag was p and the store was offering a 15% discount, the expression that represents the price after the discount but before tax is d) 0.85p.

A discount is a reduction in the price of an item from its marked price or listed price.

A discount is usually expressed as a rate or in percentage to show the portion of the list price that is offered as a discount.

The discounted price is the actual cost that the buyer pays, including sales tax.  The discounted price is the difference between the list price and the discount amount.

Offered discount = 15%

Price on tag = p

Price after the discount but before tax = (1 - 15%) p

0.85p.

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a) 0.15p

b) 15p

c) 0.985p

d) 0.85p

Based on a survey of 400 non-fatal accidents, where 173 involved faulty equipment, the point estimate for the population proportion (p) of accidents that involved faulty equipment is 173/400 = 0.4325.

To calculate the point estimate for the population proportion, we divide the number of accidents involving faulty equipment (173) by the total number of accidents surveyed (400).

This gives us a ratio of 0.4325, which represents the estimated proportion of accidents involving faulty equipment in the population.

A point estimate is a single value that serves as an approximation or best guess for an unknown population parameter.

In this case, the population proportion (p) represents the proportion of all accidents that involved faulty equipment. The point estimate of 0.4325 suggests that approximately 43.25% of non-fatal accidents may involve faulty equipment based on the sample data.

It's important to note that this point estimate is subject to sampling variability and may not perfectly reflect the true population proportion. To obtain a more precise estimate with a measure of uncertainty, one would need to consider confidence intervals or conduct hypothesis testing using statistical methods.

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50%

since 98/2 = 49

Thats it

Answer:

Step-by-step explanation:

First equation: Use angle bisector theorem

\(\frac{x}{y}\) = \(\frac{35}{21}\) , \(\frac{x}{y}\) = \(\frac{5}{3}\) ⇒ x = \(\frac{5}{3}\) y ............ (1)

Second equation: Use cosine law

x² + y² - 2xycos 120° = ( 35 + 21 )² , cos 120° = - 0.5

x² + y² + xy = 56² ................. (2)

(1) ----> (2)

( \(\frac{5}{3}\) y )² + y² + \(\frac{5}{3}\) y² = 56² ............. (3)

9 × (3)

25y² + 9y² + 15y² =( 9 ) × 56²

7²y² = (168)²

y = 24

x = \(\frac{5}{3}\) × 24 = 40

AC = 40

BC = 24

m∠A ≈ 22 ° ( see the attachment )

m∠B ≈ 38 °

Answer:

x=9

Step-by-step explanation:

x+12=21

x=21-12

x=9

x+12=21

Step 1: Subtract 12 from both sides.

x+12−12=21−12

x=9

Answer:

Undefined

Step-by-step explanation:

If I am seeing the table right, 14 is the only y coordinate and 14 goes with all the x.

so the line would be horizontal