use base conversion method, convert the decimal expansion (25679),, to an Octal expansion.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Janet can customize a car in 630 different ways.

To determine the number of ways Janet can customize a car, we need to multiply the number of options for each customization choice.

Number of car models: 10

Number of exterior colors: 7

Number of interior colors: 9

To calculate the total number of ways, we multiply these numbers together:

Total number of ways = Number of car models × Number of exterior colors × Number of interior colors

= 10 × 7 × 9

= 630

Therefore, the explanation shows that Janet has a total of 630 options or ways to customize her car, considering the available choices for car models, exterior colors, and interior colors.

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The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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Answer:

D

Step-by-step explanation:

0.36|6=0.366

The solution is : The given statement is False.

A histogram is an approximate representation of the distribution of numerical data. A histogram is a graph that shows the frequency of numerical data using rectangles. The height of a rectangle (the vertical axis) represents the distribution frequency of a variable (the amount, or how often that variable appears).

here, we have,

We are given a  the 30 data points which represent the best lifetime baseball batting averages of all time, arranged in order from lowest to highest.

As we know that we could obtain a frequency table from the following set of data points and histogram is a good way to represent the frequency data. ( i.e. a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins ).

Hence, the given statement,

A frequency table for these data can best be graphically displayed as a bar graph. That is, it should not be displayed as a histogram is a FALSE STATEMENT.

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Answer:

C- Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.

Step-by-step explanation:

Factor Theorem can be defined as a method or theorem that is used in mathematics to simplify polynomials. It is used to confirm if a particular root is the real root of the polynomial.

Factor Theorem states that:

a) If p(x) is a polynomial of degree of n is greater than 1 (n > 1) and a is any real number, then

b) x – a is a factor of p(x)

if p(a) = 0, x – a is a factor of p(x).

In the question above, we are told that:

Omar uses the factor theorem to determine whether x−3 is a factor of 4x⁴ −12x² − 18x − 162.

Using Factor Theorem,

b) x – a is a factor of p(x)

if p(a) = 0, x – a is a factor of p(x).

x - 3 = 0, x = 3

p(x) = 4x⁴ −12x² − 18x − 162 = 0

p(3) = 4(3)⁴ - 12(3)² - 18(3) - 162 = 0

p(3) = 4(81) - 12(9) - 18(3) - 162 = 0

p(3) = 324 - 108 - 54 - 162 = 0

p(3) = 324 - 324 = 0

p(3) = 0 = 0

Hence, since p(3) = 0, x - 3 is a factor of polynomial 4x⁴ −12x² − 18x − 162 .

Therefore,Option C- "Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. " is the correct answer.

Answer:

Answer is D on edge2020

Step-by-step explanation:

Omar should factor out a negative from one of the groups so the binomials will be the same.

Answer:

Equations : Tiger Algebra gives you not only the answers, but also the complete ... by step method for solving your equations 3n^2-10n-32=0 so that you understand better. ... Adding 25/9 has completed the left hand side into a perfect square :

Step-by-step explanation:

Answer:

x = 5, x = 9

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

The expression inside the bars, however, can be positive or negative.

x - 7 = 2 or - (x - 7) = 2

Solving both equations

x - 7 = 2 ( add 7 to both sides )

x = 9

or

-(x - 7) = 2

- x + 7 = 2 ( subtract 7 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

As a check

| 9 - 7 | = | 2 | - 2 ← True

| 5 - 7 | = | - 2 | = 2 ← True

Thus the solutions are x = 5, x = 9

Answer:  PERA

Step-by-step explanation: PIOJO

Hard work can boost your personal and professional growth. If we work hard, we deserve respect because you set an example for others.

Working hard will give you a sense of accomplishment, fulfillment, and self-satisfaction. Working hard can help you stay positive and confident.

1. Personal Workforce Development:

Work, by its very nature, offers challenges and opportunities for growth. It asks us to improve and grow, to become a better version of ourselves. The older we grow, the better our job and the greater the challenges.

2. Our work benefits society:

Our work benefits society. It serves others, enriches life and advances everyone. Whether it's packing groceries, delivering mail, analyzing inventory, treating cancer, or managing other employees, we can all view our work as an act of love for those we we serve.

3. Hard work is a role model for our children:

When we try to do our best every day, our children notice. One of the biggest traits I hope to pass on to my children is the importance of striving to do important things.

4.Work hard at work to work hard in life.

When we commit to hard work, we learn important life lessons: determination, focus, responsibility, problem solving, and self-control all come to mind. These lessons serve us in other areas (health, relationships, hobbies, etc.)

5.Work hard to get the most out of your time.

They will pass anyway. With every new day comes an important choice: either we fill it with the best things, or we let it slip away. There was no choice - time was running out anyway. Difficult work choices make the most of it.

6. The work itself is satisfying.

In my opinion, there is nothing more satisfying in life than lying down at night with tired legs and a tired body. Knowing that I've given my all for something important is a wonderful feeling and a sense of accomplishment in itself.

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Answer:

456.29 miles

Step-by-step explanation:

Hope this helps!

Answer:

here ,

\( \sqrt[3]{x {}^{3} y {}^{3} } \)

\( = (x {}^{3} y {}^{3} ) {}^{ \frac{1}{3} } \)

therefore the anwer is xy.

was it hellful plz let me know..

Answer:

Solution,

\( \sqrt[3]{ {x}^{3} {y}^{3} } \\ = {x}^{ \frac{3}{3} } {y}^{ \frac{3}{3} } \\ = xy\)

It is a root law of indices.

For example:

\( \: if \: {a}^{ \frac{m}{n} } \)

is an algebraic term, where m and n are the positive integers, then :

\( {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } \)

Hope this helps...

Good luck on your assignment...

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

D

Step-by-step explanation:

The coordinates of A'B'C' are:

The correct answer is A’(-3.75, -0.75); B’(0, 1.5); C’(3, -1.5).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the coordinates of the dilated triangle, we multiply the coordinates of each vertex of the original triangle by the scale factor of 0.75.

So, for vertex A, we have:

x-coordinate of A’ = 0.75 × (-5) = -3.75

y-coordinate of A’ = 0.75 × (1) = 0.75

Thus, A’ has coordinates (-3.75, 0.75)

Similarly, for vertex B, we have:

x-coordinate of B’ = 0.75 × (0) = 0

y-coordinate of B’ = 0.75 × (2) = 1.5

Thus, B’ has coordinates (0, 1.5)

Finally, for vertex C, we have:

x-coordinate of C’ = 0.75 × (4) = 3

y-coordinate of C’ = 0.75 × (-2) = -15

Thus, C’ has coordinates (3, -1.5)

Therefore, the correct answer is A’(-3.75, -0.75); B’(0, 1.5); C’(3, -1.5).

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Answer: m=23

Step-by-step explanation:

Answer:

400−8m=216

Step 1: Simplify both sides of the equation.

400−8m=216

400+−8m=216

−8m+400=216

Step 2: Subtract 400 from both sides.

−8m+400−400=216−400

−8m=−184

Step 3: Divide both sides by -8.

−8m

−8

=

−184

−8

m=23

The value of 'k' will be;

⇒ k = - 12

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph of the equation has the given y-intercept are;

⇒ Y= -1/3x + 5/6k;  b= -10

Now,

Since, The equation of line in point-slope form will be;

⇒ y = mx + b

Here, The equation is,

⇒ Y= -1/3x + 5/6k

Hence, The y - intercept (b) = 5/6k

But here, b = - 10

So, We get;

⇒ 5/6 k = - 10

Solve for k as;

⇒ 5k = - 10 × 6

⇒ 5k = - 60

⇒ k = - 12

Thus, The value of 'k' will be;

⇒ k = - 12

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A good hypothesis must be testable and consider the current scientific knowledge. Therefore, the correct options for the given question are (a) Is testable and (d) Considers current scientific knowledge.  

n science, a hypothesis is a tentative assumption or prediction that explains or accounts for a set of observations. A hypothesis must be testable by conducting an experiment, conducting a survey, or gathering and analyzing data. Hypotheses that are untestable are considered unfalsifiable and fall outside the realm of scientific inquiry. A good hypothesis must have the following features:It should be clear, specific, and focused on a single problem.It should be testable and should have a defined test or experiment to prove it.It should be related to available knowledge and based on previously established facts.It should be concise and avoid jargon or technical language that might be difficult for others to understand. It should be falsifiable by evidence and must be subjected to empirical testing.

Thus, a good hypothesis is testable, considers current scientific knowledge, and is falsifiable by evidence.

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Answer:

50 gallons of each.

Step-by-step explanation:

The number of hours that Jessica work is 30 hours

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

P = (12h + 30)/2

The amount paid is given as

P = 195

substitute the known values in the above equation, so, we have the following representation

(12h + 30)/2 = 195

So, we have

(12h + 30) = 390

This gives

12h = 360

Divide

h = 30

Hence, the number of hours is 30

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Answer:

x=−2 or x=9.

Step-by-step explanation:

x2−7x−18=0

Step 1: Factor left side of equation.

(x+2)(x−9)=0

Set factors equal to 0.

x+2=0 or x−9=0

x=−2 or x=9

The correct simplified expression is \(\rm 28x^3-33x^2-33x+18\).

Given

Polynomial; \(\rm (7x - 3)(4x^2 -3x - 6)\)

Multiplication is the process of calculating the product of two or more numbers. The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

Then,

The correct simplification of the expression is;

\(\rm \rm (7x - 3)\times (4x^2 -3x - 6)\\\\7x(4x^2 -3x - 6)-3(4x^2 -3x - 6)\\\\ 28x^3-21x^2-42x-12x^2+9x+18\\\\28x^3-33x^2-33x+18\)

Hence, the correct simplified expression is \(\rm 28x^3-33x^2-33x+18\).

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96 eight-bit strings either begin with 100 or have the fourth bit 1 or both.

In our case, we need the number of 8-bit strings to either begin with 100 or have the fourth bit 1 or both.

Case1: For our purpose, the first three digits are fixed with 100. We know that the non-decided position will take the numbers 0 or 1. We have 5 such positions. So, the number of possibilities = 2*2*2*2*2 = 32.

Case2: For our purpose, the fourth digit is fixed with 1. The first position can be only 1. We know that the non-decided position will take the numbers 0 or 1. We have 6 such positions. So, the number of possibilities = 1*2*2*2*2*2*2 = 64.

64 + 32 = 96.

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Answer:

Step-by-step explanation:

A thermostat is a device which regulates the temperature of , for example, a room or a refrigerator.

Answer:

Because when you divide 100 by 4 and 50 by 2, you will get the same value

The probability that more than 12 of these selected children have exactly two siblings is P(13) + P(14) + P(15) + ... + P(20).

To find the probability that more than 12 of the selected children have exactly two siblings, we need to calculate the probability of selecting 13, 14, 15, ..., or 20 children with exactly two siblings, and then add up these individual probabilities.

Let's calculate the probability for each case:

Selecting 13 children with exactly two siblings:

Probability of selecting a child with exactly two siblings: 30% = 0.3

Probability of selecting a child without exactly two siblings: 1 - 0.3 = 0.7

Probability of selecting 13 children with exactly two siblings:

\((0.3)^{13}\) * \((0.7)^{20-13}\) * (20 choose 13)

Selecting 14 children with exactly two siblings:

Probability of selecting 14 children with exactly two siblings:

\((0.3)^{14}\) * \((0.7)^{20-14}\) * (20 choose 14)

Selecting 15 children with exactly two siblings:

Probability of selecting 15 children with exactly two siblings:

\((0.3)^{15}\) * \((0.7)^{20-15}\) * (20 choose 15)

Continue this process for selecting 16, 17, 18, 19, and 20 children with exactly two siblings.

Finally, add up all these individual probabilities to get the probability that more than 12 of the selected children have exactly two siblings:

P(more than 12 children with exactly two siblings) = P(13) + P(14) + P(15) + ... + P(20)

Performing the calculations for each case and summing them up will give you the desired probability.

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Answer:

5 hours and 58 minutes

Step-by-step explanation:

4*60+15+40+40=335

335/60=5.58

To find the rectangle volume we need to multiply lenght, width and height

Answer:

a is the required answer

A) The price that the store charges its customers for the skis is; $91.20

B) The percent of the original price that is the final price is; 160%

C) The percent INCREASE from the original price to the final price is; 60%

The Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

We are given;

Wholesale price = $57

Markup rate = 60%

From the above information given, the amount of markup will be:

Amount of mark up = 60% × $57

= 0.6 × $57

= $34.20

Therefore, the new price will be:

= $57 + $34.20

= $91.20

In conclusion, the percentage of the original price will be 160% and the percentage increase is 60%.

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Complete question is;

A store that sells skis buys them from a manufacturer at a wholesale price of $57. The store's markup rate is 60%

A. What price does the store charge its customers for the skis?

B. What percent of the original price is the final price?

C. What is the percent INCREASE from the original price to the final price?