Which numbers are irrational?below.V81 57 V21a)V100b) c)Which numbers are irrational? Highlight allthat apply.b c d1Which numbers are rational?

Answer:

Jaidens walk was 2 4/8 miles long and

Miyas walk was 4 3/8 miles long so

Miyas walk was 2 1/8 mile longer than Jaidens

Step-by-step explanation:

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:

a = 1

b = -3

c = -5

Now, we can apply the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values into the formula:

x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))

x = (3 ± √(9 + 20)) / 2

x = (3 ± √29) / 2

Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2

x = (3 - √29) / 2

The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

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STEP - BY - STEP EXPLANATION

What to find?

Draw a tree diagram to illustrate all possible outcomes.

Given:

Door A, Door B and door C.

Colors are: red, green, yellow or blue

Step 1

What is a tree diagram?

A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on.

Step 2

Make a sketch of the tree diagram.

Let;

door A = A

door B = B

door C = C

red = R

green = G

yellow = Y

blue = Bl

ANSWER

Hence, the possible outcomes.

The end behavior of the polynomial is:

x → ∞, F(X) → ∞

x → -∞, F(X) →-∞

Then the correct option is C.

Here we have the polynomial:

F(x) = x³ + 2x² - 1

And we want to see which ones of the given statements are true. At the end of the answer you can see the graph of the function so you can know how it behaves.

There we can see that there is one relative maximum and one relative minimum, and that the end behavior is:

x → ∞, F(X) → ∞

x → -∞, F(X) →-∞

Then the only correct option is C.

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By finding the distances between the vertices, we willsee that the perimeter is 22.5 units.

Remember that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)² + (b - d)²)

Here we can see that the vertices of the triangle are:

E = (-5, 1)

D = (-4, -3)

F = (3, 4)

The distances between these are:

ED = √( (-5 + 4)² + (1 + 3)²) = 4.1

DF = √( (-4 - 3)² + (-3 - 4)²) =  9.9

FE = √( (3 + 5)² + (4 - 1)²) = 8.5

Then the perimeter is:

P = 4.1 + 9.9 + 8.5 = 22.5

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The total amount of money that should be the gross pay of the employee for the period of work would be = $640

On Monday, number of working hours = 8 hours

On Tuesday, number of working hours = 8 hours

On Wednesday, number of working hours+ overtime = 8+4 = 12 hours

On Thursday, number of working hours = 8 hours

On Friday, number of working hours = 8 hours

On Saturday, number of working hours+ overtime = 8+2 = 10 hours

On Sunday, number of working hours+ overtime = 8+2 = 10hours

The total number of working hours = 8+8+12+8+8+10+10 = 64 hours

But 1 hour = $10

64 hours = 64×10 = $640

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Answer: 520

Step-by-step explanation:

Just got this problem

Answer:

Chair  x₁ = 10

Sofa   x₂ = 18

z(max)  = 2250 $

Step-by-step explanation:

Information:

Operation-Profit             Carpentry         Finishing      Upholstery     Profit

                                           hours                 hours              hours             $

Chair (x₁)                                3                        9                      2                90

Sofa  (x₂)                                 2                        4                     10               75

Objective Function z:

z =  90*x₁ + 75*x₂

Constrains:

1.-66 hours of carpentry available

3*x₁ + 2*x₂ ≤ 66

2.- 180  hours of finishing available

9*x₁  +  4*x₂ ≤  180

3.- 200 hours of upholstery

2*x₁  +  10*x₂  ≤ 200

Model:

z = 90*x₁ + 75*x₂    to maximize

Subject to:

3*x₁ + 2*x₂ ≤ 66

9*x₁  +  4*x₂ ≤  180

2*x₁  + 10*x₂  ≤ 200

x₁ >= 0  x₂ >= 0

From simplex method solver we get the answer

x₁ = 10         x₂  = 18       z = 2250

The linear programming model is:

Represent sofa with y and chairs with x.

The given parameters are:

Carpentry:

\(\mathbf{Chair =3\ hours}\)

\(\mathbf{Sofa =2\ hours}\)

\(\mathbf{Available = 66\ hours}\)

So, we have:

\(\mathbf{3x + 2y \le 66}\)

Finishing

\(\mathbf{Chair =9\ hours}\)

\(\mathbf{Sofa =4\ hours}\)

\(\mathbf{Available = 180\ hours}\)

So, we have:

\(\mathbf{9x + 4y \le 180}\)

Upholstery

\(\mathbf{Chair =2\ hours}\)

\(\mathbf{Sofa =10\ hours}\)

\(\mathbf{Available = 200\ hours}\)

So, we have:

\(\mathbf{2x + 10y \le 200}\)

The profit is given as: $90 per chair, and $75 per sofa.

So, the objective function is:

\(\mathbf{Z = 90x + 75y}\)

Hence, the linear programming model is:

Maximize \(\mathbf{Z = 90x + 75y}\)

Subject to

\(\mathbf{3x + 2y \le 66}\)

\(\mathbf{9x + 4y \le 180}\)

\(\mathbf{2x + 10y \le 200}\)

\(\mathbf{x,y \ge 0}\)

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The most appropriate scale for graphing this data set. is (a) t ones and a fitties

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

The table of values

From the table of values, we have

x-values = t: This values are in units

y-values = a: These values can be approximated to fifties

Hence, the most appropriate scale is (a)

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Answer:

x axis - (18,0)

y axis - (0,12)

quadrant I - (4.5, 10.6)

quadrant II -(-15,21)

quadrant III - (-3/4, -4 1/9)

quadrant IV - (0,-7)

Step-by-step explanation:

It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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The correct number line that shows the solution to the compound inequality is given by:

Number Line A.

A compound inequality is an inequality that is composed by multiple conditions.

Then these conditions are related with one of two operations, listed as follows:

In this problem, the compound inequality is given as follows:

3x - 5 > 1 or -2x ≤ -10.

The solutions to the first condition are given as follows:

3x > 6

x > 2.

The solutions to the second condition are given as follows:

2x ≥ 10

x ≥ 5.

The interval of values that is the union of these solutions is given by:

x > 2.

Hence number line A is the solution to the inequality.

The complete problem is given by the image shown at the end of the answer.

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Answer: 95.5

Step-by-step explanation:

If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5

As per given by the question,

There are given that ,

Now,

There are given y=-3.

So,

Substitute the value -3 instead of y in given equation,

Then,

From the equation,

Put the value of y in given equation,

Now, solve the above equation,

Hence, the value of given equation is 24.

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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

Answer:

Undefined

Step-by-step explanation:

The slope of a horizontal line is zero.  The slope of a vertical line is undefined.

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer: 3 11/20

Step-by-step explanation:

Answer:

3 55/100

Step-by-step explanation:

Since percents are out of 100, the fraction would be 355/100. Then you turn it into a mixed number, so 3 55/100.

(hope this helps!)

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

A.)

Mean, μ of sampling distribution = 21 pounds per square inch

Standard deviation of sampling distribution, s =

Step-by-step explanation:

Since the distribution is normal ;

Mean of sampling distribution = μ = 21 pounds per square inch

Standard deviation of sampling distribution, s = σ/sqrt(n)

σ = 2, n = 10

2 / sqrt(10)

2 / 3.1622776

= 0.632

B.) shape of distribution for n = 10 will be approximately normal.

C.)

{-7.22870249054, 40.8079452872, -10.91517422664,22.86455836927,32.94723256068,-5.93493872489,-6.11103290664,-5.04925181642,-27.62798560898,9.77607593874)

Mean = 4.35 ; Standard deviation = 21.6

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Answer:

It is True 200% legit!

Step-by-step explanation:

Given:

1. \(\Delta HJI\cong \Delta IQP\)

3. \(\Delta JLK\cong \Delta FGH\)

To find:

The missing values to complete the congruence statements:

1. \(\overline{IH}\cong \_\_\_\_\)

3. \(\angle KJL\cong \_\_\_\_\_\)

Solution:

1.

We have,

\(\Delta HJI\cong \Delta IQP\)

Here, vertices H, J, I are corresponding to I, Q, P. So,

\(\overline{IH}\cong \overline{PI}\)

Therefore, the complete statement is \(\overline{IH}\cong \overline{PI}\).

3.

We have,

\(\Delta JLK\cong \Delta FGH\)

Here, vertices J, L, K are corresponding to F, G, H. So,

\(\angle KJL\cong \angle HFG\)

Therefore, the complete statement is \(\angle KJL\cong \angle HFG\).

Answer:

Step-by-step explanation:

As,

\( \frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30} \)

and,

\( \frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30} \)

Answer:

\(8x + 6 > 38 \\ 8x > 38 - 6 \\ 8x > 32 \\ x > \frac{32}{8} \\ \color{yellow} \boxed{x > 4}\)

The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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We need a sample size of at least 397 in order to be 95% confident that the sample mean is within 20 minutes of the true mean.

To calculate the sample size needed, we need to use the formula:

n = (zα/2σ/E)2

where zα/2 is the critical value associated with the desired confidence level (in this case 95%), σ is the standard deviation (3.2 hours in this case), and E is the margin of error (20 minutes in this case).

Thus, n = (1.96*3.2/20)2, which simplifies to 397.

E = 20

σ = 3.2

n = (1.96*3.2/20)2

Therefore, we need a sample size of at least 397 in order to be 95% confident that the sample mean is within 20 minutes of the true mean.

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Answer:

I believe \(\lim_{x \to a} f(x)\) also equals 0.

Step-by-step explanation:

We know that g(x) has to be greater than or equal to 0. That means f(x) has to be smaller than g(x) or equal to 0.

If we plug in any value of x, f(x) will be positive because of the absolute value. The only way we are going to get f(x) smaller than g(x) or equal to g(x) is to have very small fractions.

Therefore, if \(\lim_{x \to a} g(x)=0\), then \(\lim_{x \to a} f(x)=0\) because f(x) must be smaller or equal to 0 as well.

Answer:

\(\displaystyle{ \lim_{x\to a}f(x)=0\)

Step-by-step explanation:

The other user posted a great answer, but I would like to show you a more mathematical way!

We have \(|f(x)|\leq g(x)\).

By the definition of absolute value, this is the same as saying:

\(f(x)\leq g(x)\text{ and } -f(x)\leq g(x)\)

For the right, we can divide both sides by -1 to acquire:

\(f(x)\leq g(x)\text{ and } f(x)\geq- g(x)\)

We can now combine them. This yields:

\(-g(x)\leq f(x)\leq g(x)\)

Now, we can use the Squeeze Theorem (a.k.a. Pinch or Sandwich Theorem). The Squeeze Theorem posits that if we have:

\(g(x)\leq f(x)\leq h(x)\)

And:

\(\displaystyle{ \lim_{x \to c} g(x)= \lim_{x \to c} h(x)=L}\)

Then the following must be true:

\(\displaystyle{ \lim_{x \to c} f(x)=L\)

We have:

\(-g(x)\leq f(x)\leq g(x)\)

And we know that:

\(\displaystyle{ \lim_{x \to a} g(x)=0\)

Then it follows that:

\(\displaystyle{ \lim_{x \to a} -g(x)=- \lim_{x \to a} g(x)=0\)

Therefore, by using the Squeeze Theorem, we can conclude that:

\(\displaystyle{ \lim_{x\to a}f(x)=0\)

And we're done!

Answer:

D

Step-by-step explanation:

Because 6.431 is in-between 6.4 and 6.5

Answer:

D): 6.4 and 6.5

Step-by-step explanation:

\({ \tt{6.4 < 6.431 < 6.5}}\)