a function that has a degree of 5 must have which one of the following?

a. 5 real zeros
b. 4 turning points
c. a maximum
d. at least one real 0

Answers

Answer 1

A function that has a degree of 5 must have the following: d. at least one real 0.

What is a polynomial function?

In Mathematics and Geometry, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using specific mathematical operations.

Generally speaking, the degree of a polynomial function is sometimes referred to as an absolute degree and it is the greatest exponent (leading coefficient) of each of its term.

In conclusion, a function that has a degree of 5 is referred to as a quintic function and it is characterized by an odd degree, can't have more than 4 turning points, and must have at least one real zero.

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Related Questions


Find the exact values of the six trigonometric functions of the angle O shown in the figure.
sin(0) -
X
cos(0) -
tan(0) -
csc(0) -
sec(0)-
cot(0) -
0
3
3

Answers

The values of

1. cosθ = √3/2

2. sinθ = √3/2

3. tanθ = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

What is trigonometric ratio?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

cosθ = adj/hyp

sinθ = opp/hyp

tanθ = opp/adj

sec θ = 1/cosθ

cosec θ = 1/sinθ

cot θ = 1/tanθ

We need to find the hypotenuse of the triangle

x² = 3² +3²

x = √9+9

x = √18

x = 2√3

cosθ = 3/2√3 = 6√3/12

= √3/2

2. sinθ = 3/2√3 = √3/2

3. tanθ = 3/3 = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

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find the perimeter of a rectangle if: L= 12cm, W= 5cm.
(a) 34cm
(b) 21cm
(c) 14cm
(d) 17cm​

Answers

Answer:

(a) 34 cm

Step-by-step explanation:

The formula for perimeter of a rectangle is

P = 2l + 2w, where

P is the perimeter,l is the length,and w is the width.

Thus, we can plug in 12 for l and 5 for w in the perimeter formula and simplify to find the perimeter of the rectangle:

P = 2(12) + 2(5)

P = 24 + 10

P = 34

Thus, the perimeter of a rectangle with a length of 12 cm and a width of 5 cm is 34 cm.

5. (6 pts pts) The displacement of a spring vibrating in damped harmonic motion is given by
y = 4e-3t sin(2πt)
Find the times when the spring is at its equilibrium position (y = 0). '

Answers

The  times when the spring is at its equilibrium position (y = 0) are t = 0, 1/2, 1, 3/2, ... and so on.

To find the times when the spring is at its equilibrium position (y = 0), we can set the displacement equation equal to zero and solve for t:

[tex]4e^{(-3t)[/tex] sin(2πt) = 0

Since the product of two factors is zero if and only if at least one of the factors is zero, we have two cases to consider:

4[tex]e^{(-3t)[/tex] = 0

This equation has no solution since [tex]e^{(-3t)[/tex] is always positive and nonzero.

sin(2πt) = 0

The sine function is zero at integer multiples of π.

So, we can set 2πt equal to integer multiples of π:

2πt = 0, π, 2π, 3π, ...

Solving for t in each case, we get:

t = 0, 1/2, 1, 3/2, ...

Therefore, the times when the spring is at its equilibrium position (y = 0) are t = 0, 1/2, 1, 3/2, ... and so on.

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hey here is my algebra 13 homework, can someone please help! heres screenshot. QUICK PLSS

Answers

The graph of the given exponential function f(x) = 4(0.5)ˣ + 2 is g(x) = 5(1/6)ˣ + 2

Hence, the correct option is A.

An exponential function is a mathematical function of the form f(x) = aˣ, where "a" is a positive constant known as the base, and "x" is the independent variable. The exponential function is defined for all real values of x, and the output values of the function are always positive.

The exponential function is characterized by its unique property of having a constant rate of change with respect to its own value. This means that the function increases (or decreases) by a constant factor each time the independent variable is increased by a fixed amount.

For the given exponential function g(x) = 5(1/6)ˣ + 2 as the graph of f(x) and g(x) are same.

Hence, the correct option is A.

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The exact value of the cosine of θ is given as follows:

a) 3/5.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

Sine of angle = opposite side/hypotenuse.Cosine of angle = adjacent side/hypotenuse.Tangent of angle = opposite side/adjacent side = sine/cosine.

Applying the Pythagorean Theorem, the hypotenuse length is given as follows:

x² = 6² + (-8)²

x² = 100

x = 10.

As the x-coordinate is used for the cosine, the cosine is given as follows:

cos(θ) = 6/10

cos(θ) = 3/5.

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At a conference of educators, there ore 189 people total, and 128 are teachers. If the rest are principals, then how many principals are present?

Answers

Answer:

61 principals

Step-by-step explanation:

189 total - 128 teachers = 61 principals

A triangle has sides with lengths of 3 miles, 4 miles, and 6 miles. Is it a right triangle

Answers

Yes, the given triangle is a right triangle.

We have,

This can be determined by applying the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Now,

In this case, the squares of the side lengths are:

3² = 9

4² = 16

6² = 36

If the sum of the squares of the two shorter sides (9 + 16 = 25) is equal to the square of the longest side (36), then the triangle is a right triangle.

Thus,

In this case, since 25 is indeed equal to 36, the triangle with side lengths 3 miles, 4 miles, and 6 miles is a right triangle.

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(x+3)(x+7)=0

Problem answered, solution and why!

Answers

[tex](x+3)(x+7)=0\\x=-3 \vee x=-7\\\\x\in\{-7,-3\}[/tex]

With a short time remaining in the​ day, a delivery driver has time to make deliveries at seven locations among the 8 locations remaining. How many different routes are​ possible? Question content area bottom Part 1 There are enter your response here possible different routes. ​(Simplify your​ answer.)

Answers

The number of different routes possible for the delivery driver, given the time to make deliveries at 7 out of the remaining 8 locations, is 8.

The number of different routes possible for the delivery driver can be calculated using combinatorics. Specifically, we need to determine the number of ways to choose 7 locations out of the remaining 8 locations. This can be found using the combination formula.

The combination formula, also known as "n choose k," is given by the expression C(n, k) = n! / (k! * (n-k)!), where n is the total number of items to choose from and k is the number of items to choose.

In this case, there are 8 locations remaining and the driver needs to choose 7 of them. Applying the combination formula, we have C(8, 7) = 8! / (7! * (8-7)!) = 8! / (7! * 1!) = 8.

Therefore, there are 8 possible different routes for the delivery driver to make deliveries at the remaining 8 locations, given that the driver has time to make deliveries at 7 of them.

To simplify the answer, we can state that there are 8 possible different routes for the driver.

In summary, the number of different routes possible for the delivery driver, given the time to make deliveries at 7 out of the remaining 8 locations, is 8.

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Sofia and ella are both writing expressions to calculate the surface area of a rectangular prism however they wrote different expressions.

a. examine the expressions below, and determine if they represent the same value. explain why or why not.
sofia's expression
(3 cm x 4 cm ) + (3 cm x 5 cm) + (4 cm x 5 cm) + (4 cm x 5 cm)
ella's expression:
2(3 cm x 4 cm) + 2(3 cm x 5 cm) + 2(4 cm x 5 cm)

b. what fact about the surface area of a rectangular prism does ella's expression show more clearly than sofia's?

Answers

a ) The given expression from Sofia and Ella represents two different values.

b.) The fact about the surface area of prism that Ella's expression shows that is not in Sofia's expression is that the expression is according to the formula.

How to determine the surface area of a rectangular prism?

To determine the surface area of a rectangle prism, the formula that should be used would be given below:

That is;

Surface area of rectangular prism;

= 2(wl+hl+hw)

when the formula is multiplied out the following is gotten;

= 2wl + 2hl + 2hw

From Ella's expression,

2(3 cm x 4 cm) + 2(3 cm x 5 cm) + 2(4 cm x 5 cm). This follows the order of the formula. And it's final answer = 94cm²

From Sofia's expression,

(3 cm x 4 cm ) + (3 cm x 5 cm) + (4 cm x 5 cm) + (4 cm x 5 cm). This doesn't follow the order of the formula and therefore is not correct and not the same final value with Ella's expression.

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A given triangle has vertices at (-3, 1) (2, 4) and (5, -3). If the triangle were rotated 360 degrees clockwise, the new coordinates would be:

Answers

To rotate a point (x, y) 360 degrees clockwise, we can use the following formulas:

New x-coordinate = x * cos(θ) - y * sin(θ)
New y-coordinate = x * sin(θ) + y * cos(θ)

Since we want to rotate the entire triangle 360 degrees, each point will be transformed using these formulas.

Let's calculate the new coordinates for each vertex:

For the first vertex (-3, 1):
New x-coordinate = -3 * cos(360°) - 1 * sin(360°) = -3 * 1 - 1 * 0 = -3
New y-coordinate = -3 * sin(360°) + 1 * cos(360°) = -3 * 0 + 1 * 1 = 1

For the second vertex (2, 4):
New x-coordinate = 2 * cos(360°) - 4 * sin(360°) = 2 * 1 - 4 * 0 = 2
New y-coordinate = 2 * sin(360°) + 4 * cos(360°) = 2 * 0 + 4 * 1 = 4

For the third vertex (5, -3):
New x-coordinate = 5 * cos(360°) - (-3) * sin(360°) = 5 * 1 - (-3) * 0 = 5
New y-coordinate = 5 * sin(360°) + (-3) * cos(360°) = 5 * 0 + (-3) * 1 = -3

Therefore, after rotating the triangle 360 degrees clockwise, the new coordinates would be (-3, 1), (2, 4), and (5, -3), which are the same as the original coordinates.

I need help finding the Component form and Magnitude of the vector V.

Answers

To find the magnitude of the vector, we can use the Pythagorean theorem: ||V|| = sqrt((5 * √2 / 2)^2 + (5 * √2 / 2)^2) = 5.

To find the component form of a vector, you need to break it down into its x and y components. Let's say our vector V has a magnitude of 5 and is pointing in the direction of 45 degrees (measured from the positive x-axis).

To find its x component, we can use cosine: Vx = V cos(45) = 5 * √2 / 2. To find its y component, we can use sine: Vy = V sin(45) = 5 * √2 / 2. So the component form of vector V is (5 * √2 / 2, 5 * √2 / 2).

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The sum of two numbers is -6. One number is 14 more than the other one. Find the numbers.

Answers

Answer:

The two numbers are -10 and 4

Step-by-step explanation:

[tex]x+y=-6\\y=14+x\\\\x+(14+x)=-6\\2x+14=-6\\2x=-20\\x=-10\\\\x+y=-6\\-10+y=-6\\y=4[/tex]

Volume of Cone ___ mm3?

Answers

The volume of the cone is 301. 44mm³

How to determine the value

First, we need to know the formula

the formula that is used for calculating the volume of a cone is expressed as;

V = πr²h/3

Such that the parameters are;

V is the volume r is the radiush is the height of the cone

Substitute the values, we have;

Volume = 3.14 × 6² × 8/3

Multiply the values, we have;

Volume = 904.32/3

Divide the values

Volume = 301. 44mm³

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Stuck on this and cant move along until I get it correct. Please help.


Fill in the missing value.

The measure of angle F is ___°

Answers

The solution is:  the measure of angles 2, 3, and 4 are:

m∠2 = 95°

m∠3 = 85°

m∠4 = 95°

Vertical Angle Theorem:

When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

Therefore,

m∠3 = 85°

m∠2 = m∠4

Linear pair:

Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.

Therefore,

85° + m∠2 = 180°

m∠3 + m∠4 = 180°

If  85° + m∠2 = 180°

⇒ m∠2 = 180° - 85°

⇒ m∠2 = 95°

As  m∠2 = m∠4  then  m∠4 = 95°

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complete question:

Find the measure of angles 2, 3, and 4. input the measures then click done. i-ready

please help i missed a day of class i cant figure this out

A jewlary shop sells 240 necklaces in a month 180 of the necklaces were sold in a via the shops website the rest were sold in a high street shop .
Work out the ratio of online sales to shop sales
Give ur answers in its simplest form

Answers

240-180= 60
180 were sold online and 60 were sold in shops
the ratio in its simplest form would be 3:1

how do I change 1/4 to a percentage .​

Answers

Answer: You divide it, get your answer, move the decimal point to the right twice, and that's you're percent.

Step-by-step explanation:

1/4=.25

.25 > 25%

Answer:

The answer is 25%

Step-by-step explanation:

To change decimal to percentage multiply by 100

1/4×100%

=25%

Please help I don’t understand thank you have a blessed day

Answers

By evaluation, the values of the rational function are f(11) = - 1 / 12 and f(- 2) = 1, respectively.

How to evaluate a rational function

In this problem we find the case of a rational function that must be evaluated at two different x-values: x = 11, x = - 2. The procedure is summarized below:

Write the entire expression.Substitute on x with the given value.Simplify the expression by algebra properties.

Now we proceed to present the complete procedure:

f(11) = 11 / (11 + 1) - 1

f(11) = 11 / 12 - 1

f(11) = 11 / 12 - 12 / 12

f(11) = (11 - 12) / 12

f(11) = - 1 / 12

f(- 2) = (- 2) / (- 2 + 1) - 1

f(- 2) = - 2 / (- 1) - 1

f(- 2) = 2 - 1

f(- 2) = 1

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need help on this math question

Answers

The expression which gives the number of months passed in terms of p is √300 -0.5p

Subject of formula

We make t the subject of the formula in the expression

p = 600 - 2t²

subtract 600 from both sides in other to isolate 2t²

p - 600 = 600 - 2t² - 600

p - 600 = -2t²

Rearrange the equation

2t² = 600 - p

Divide both sides by 2 in other to isolate t²

2t²/2 = 600/2 - p/2

t² = 300 - 0.5p

Take the Square root of both sides in other to isolate t

√t² = √300 - 0.5p

t = √300 - 0.5p

Hence, the correct expression which gives the number of months t in terms of price p is t = √300 - 0.5p

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What is the area of the shaded region?

Answers

Answer:

80 mm²

Step-by-step explanation:

Even for slanted triangles, the area is base x half height! The base is 10 mm, half the height is 8 mm, so the area is 8x10=80 mm.

What is the apparent solution set for the system of equations:
x ^ 2 + 3x - 2;
- x ^ 2 + 2x + 4

A) {(- 3.5, 0) , (-1.2, 0), (0.5, 0), (3.3, 0)}

B) {(0, 2), (1.5, - 4.25)}

C) {(- 2, - 4), (1.5, 4.75)}

D) {(0, 4), (1, 5)}

Answers

There are no apparent solutions that satisfy both equations.

We have,

The system of equations is:

x² + 3x - 2 = 0

-x² + 2x + 4 = 0

To find the solutions, we can solve each equation separately:

x² + 3x - 2 = 0

This equation can be factored as:

(x + 2)(x - 1) = 0

Setting each factor equal to zero gives:

x + 2 = 0

x = -2

And,

x - 1 = 0

x = 1

-x² + 2x + 4 = 0

This equation does not factor easily, so we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For this equation, a = -1, b = 2, and c = 4.

Plugging in the values into the quadratic formula:

x = (-2 ± √(2² - 4(-1)(4))) / (2(-1))

x = (-2 ± √(4 + 16)) / (-2)

x = (-2 ± √20) / (-2)

Simplifying further:

x = (-2 ± 2√5) / (-2)

x = 1 ± √5

Now,

let's check which of these solutions satisfies both equations:

For x = -2:

(-2)² + 3(-2) - 2 = 4 - 6 - 2 = -4 ≠ 0

-(-2)² + 2(-2) + 4 = -4 - 4 + 4 = -4 ≠ 0

x = -2 does not satisfy both equations.

For x = 1:

1² + 3(1) - 2 = 1 + 3 - 2 = 2 ≠ 0

-(1)² + 2(1) + 4 = -1 + 2 + 4 = 5 ≠ 0

x = 1 does not satisfy both equations.

For x = 1 ± √5:

We can substitute these values into the equations, but it can be seen that they will not satisfy both equations either.

Therefore,

There are no apparent solutions that satisfy both equations.

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Can someone answer and provide an explanation for these problems? Find the midpoint of the line segment with the given endpoints.

Answers

52)  The midpoint of the line segment is (-0.5, 9).

53) The midpoint of the line segment is (3, -8.5).

52) To find the midpoint of the line segment with endpoints (8,9) and (-9,9), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) are the average of the corresponding coordinates of the endpoints.

For the x-coordinate:

(x₁ + x₂) / 2 = (8 + (-9)) / 2 = (-1) / 2 = -0.5

For the y-coordinate:

(y₁ + y₂) / 2 = (9 + 9) / 2 = 18 / 2 = 9

Therefore, the midpoint of the line segment is (-0.5, 9).

53) To find the midpoint of the line segment with endpoints (8,-10) and (-2,-7), we apply the same process using the midpoint formula.

For the x-coordinate:

(x₁ + x₂) / 2 = (8 + (-2)) / 2 = 6 / 2 = 3

For the y-coordinate:

(y₁ + y₂) / 2 = (-10 + (-7)) / 2 = -17 / 2 = -8.5

Hence, the midpoint of the line segment is (3, -8.5).

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Which graph has the same end behavior as f (x) = StartFraction 10 x cubed + x squared + 3 Over 2 x squared + 1 EndFraction?

On a coordinate plane, a line goes through (negative 2, negative 10), (0, 0), and (2, 10).
On a coordinate plane, a graph approaches the x-axis in quadrant 2, increases up to (0, 10), and then curves down and approaches the x-axis in quadrant 1.
On a coordinate plane, a parabola opens up. It goes through (negative 2, 8), has vertex (0, 1), and goes through (2, 8).

Answers

The function with the same end behavior as f(x) = (10x³ + x² + 3)/(2x² + 1) is given as follows:

On a coordinate plane, a line goes through (-2, -10), (0, 0), and (2, 10).

What is the end behavior of a function?

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(x) = (10x³ + x² + 3)/(2x² + 1)

As we are looking for the end behavior, we look at the terms with the highest exponent, hence:

f(x) = 10x³.

Then the end behavior is given as follows:

As x -> - ∞, 10(-∞)³ -> -∞.As x -> ∞, 10(∞)³ -> ∞.

Hence the function with the same end behavior is the increasing line, which is given by the first option.

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if x+y+z=27 and x+y=17 then Z=

Answers

Answer:

Step-by-step explanation:

x+y+z=27

x+y=17

z=?

since x+y=17

then

17+z=27

z=27-17

z=10

Help me solve this problem please

Answers

Answer:

450°

Step-by-step explanation:

Using the given scale 1:50, calculate the actual length of the wall if it is measured to be 15cm.​

Answers

Find the total square feet of the wall(s) by multiplying ceiling height by total wall length

A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?

Answers

Step-by-step explanation:

It has

two sides 8x12

two sides 12x4

two sides 4x8           total 352 in^2

Zara's car depreciates at a rate of 14% per year.

By what percentage has Zara's car depreciated after 5 years?

Give your answer to the nearest whole number.

NO SPAM.

Answers

Answer:

  53%

Step-by-step explanation:

You want to know the depreciation of car value after 5 years if it is 14% per year.

Multiplier

The multiplier of value each year is ...

  1 + growth rate = 1 + (-14%) = 0.86

When the value has been multiplied by that 5 times, it has been multiplied by ...

  0.86^5 ≈ 0.4704

This represents a change in value from the original value of ...

  0.4704 -1 = -0.5296 = -52.96% ≈ -53%

Zara's car has depreciated by 53% after 5 years.

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A dentist was making note of her upcoming appointments with different aged patients and
the reasons for their visits.
Patients under 18
Patients 19-60
Patients over 60
Regular cleaning Broken tooth
Submit
5
3
3
2
6
2
What is the probability that a randomly selected appointment is not with a patient 19-60 or is
not for a broken tooth?
Simplify any fractions.

Answers

Probability that a randomly selected appointment is with patients over 60 years old and is for a regular cleaning = (5/21)

The probability of an event is calculated as the number of elements in that event divided by the total number of elements in the sample space.

For this question, we are told to find the probability that a randomly selected appointment is with patients over 60 years old and is for a regular cleaning.

Number of patients that are over 60 years and are for regular cleaning = 10

Total number of patients = 2 + 8 + 6 + 4 + 10 + 12 = 42

Probability that a randomly selected appointment is with patients over 60 years old and is for a regular cleaning = (10/42)

                                                                = (5/21)

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Use the given data to make a box-and-whisker plot.
5, 4, 16, 21, 10, 6, 15

Answers

Answer:

To make a box-and-whisker plot, we first need to order the data from smallest to largest:

4, 5, 6, 10, 15, 16, 21

Next, we can find the median, which is the middle value of the ordered data set. In this case, the median is 10.

Then, we can find the lower quartile (Q1) and the upper quartile (Q3). The lower quartile is the median of the lower half of the data set, and the upper quartile is the median of the upper half of the data set. To find Q1 and Q3, we can split the data set into two halves:

4, 5, 6, 10 and 15, 16, 21

The median of the lower half is (5+6)/2 = 5.5, and the median of the upper half is (16+21)/2 = 18.5. Therefore, Q1 = 5.5 and Q3 = 18.5.

Now we can draw the box-and-whisker plot. The box represents the middle 50% of the data, with the bottom of the box at Q1 (5.5), the top of the box at Q3 (18.5), and the line inside the box at the median (10). The whiskers extend from the box to the smallest and largest values inthe data set that are not outliers. To determine whether there are outliers, we can use the following formula:

Outlier = Q1 - 1.5 * (Q3 - Q1) or Q3 + 1.5 * (Q3 - Q1)

Plugging in the values, we get:

Outlier = 5.5 - 1.5 * (18.5 - 5.5) = -13.25 or Outlier = 18.5 + 1.5 * (18.5 - 5.5) = 37.25

Since there are no values in the data set that are less than -13.25 or greater than 37.25, there are no outliers.

Therefore, the box-and-whisker plot for the given data is:

            |       4

     ___|___

    |              |

    |              |

    |        5.5 |-----  

    |              |      |

    |              |      |

    |------------|  10 |  

    |              |       |

    |      15.5 |------

    |       |      |

     ___|___

            |       21

The box spans from Q1 (5.5) to Q3 (18.5), with the median line inside the box at 10. The whiskers extend from the box to the minimum value of 4 and the maximum value of 21, since there are no outliers.

Hope this helps!

Other Questions
joshua is attracted toward earth by a 500 -n gravitational force. the earth is attracted toward joshua with a force of zero. 500 n. 250 n. 1000 n. none of the above what is accumulated depreciation on a balance sheet This moleculo contains the carbon remaining from glucose which can still be oxidized at the beginning of the citric acid cycle step of cellular respiration Pyruvate ATP NADH CO2 Acetyl-CoA a political barrier that isolated the peoples of eastern europe after wwii, restricting their ability to travel outside the region clalled .... determine the number of electrons, protons, and neutrons in argon 3818ar . if alex saves the same amount each paycheck, how much does he need to save in order to meet his goal? The non-metal element selenium, Se, has sixelectrons in its outer orbit. Will atoms of this elementform positively charged or negatively charged ions?What will their ionic charge be? research studies estimate that as many as 25 percent or more of rapes involve multiple offenders; these are known as _____ rapes. how do changes in working capital affect project cash flows? Suppose a graph has a Hamilton path. What is the maximum number of vertices of degree one the graph can have? Explain why your answer is correct. a. Find a graph which does not have a Hamilton path even though no vertex has degree one. Explain why your example works. Which statement is true?a) you can print pay stubs at any time.b) pay stubs print two per page.c) if you find an error in a past paycheck, you should delete and recreate the paycheck to ensure accuracy.d) you cannot void a paycheck. Identify strategies for setting goals when developing a personal fitness program. Which of these is a component of an emotional goal?A. Sticking to a nutrition planB. Journaling about goalsC. Joining a ClubD. Studying sports How many and of which kind of roots does the equation f(x) = x - x - x + 1 have?A. 1 real; 2 complexB. 2 real; 1 complexC. 3 realD. 3 complex Use the limit comparison test to determine if the series converges or diverges. 29) n=1[infinity]9n3/210n34n do most industries have the same optimal financing mixture, or does it change depending on the industry? explain. Which of the following documentation is not required for an audit in accordance with generally accepted auditing standards?a. A written audit plan setting forth the procedures necessary to accomplish the audit objectives.b. The assessment of the risks of material misstatement at both the financial statement and relevant assertion levels.c. The basis for the auditor's decision to perform tests of controls concurrently with obtaining an understanding of internal control.d. The auditor's understanding of the entity's control activities that help ensure achievement of management's objectives. Fans of the critically acclaimed series, The Haunting of Hill House, a show that tracks the lives of a fractured and tormented family and the estate that forever became a fixture in their lives, were undoubtedly thrilled to hear that showrunner Mike Flanagan would put his talents to work on a similar series (though not a sequel), The Haunting of Bly Manor, an adaption of the infamous Henry James novella, The Turn of the Screw. The Haunting of Bly Manor takes the viewer far from Hill House and across the pond to England, where a young woman, Dani Clayton (played by Victoria Pedretti) takes an assignment as a nanny to the two orphaned children who live on the estate, Miles and Flora (played by Benjamin Evan Ainsworth and Alice Come, respectively). Upon arrival, Dani meets housekeeper Hannah Grosse (played by T'Nia Miller), estate chef Owen Sharma (played by Rahul Kohli), and the gardener, Jamie (played by Amelia Eve). For as strikingly beautiful as Bly Manor is, it is quickly apparent that all is not well. The housekeeper never seems to eat, and the children often behave as if they are staring off into the distance, with their attention on things that are unseen. Soon after arriving, Dani is sure that she has seen a strange man on the property, someone who is quickly revealed to be that of Peter Quint (played by Oliver Jackson-Cohen), a disgraced employee of the property owner, and uncle to the children, Henry Thomas (played by Henry Wingrave). To complicate this, Dani learns that the former nanny, Rebecca Jessel (played by Tahirah Sharif) met an untimely end while stationed at Bly. What unravels, episode by episode, makes each of these characters face the truths of their own pasts and identities, as well as an Evil that has been lurking at Bly for over a century. (N. Coley, personal communication, Winter 2020/2021- Carefully read the passage excerpts that reflect 3 different genres of writing you may encounter in your daily life. Each passage's title has been removed.- For each passage, make educated guesses about the:Writer's purposePassage's audienceGenre of the writingPassage's context-Note specific passage examples to support your educated guesses. Focus on the purpose, the audience, the genre, and the context. Refer to the Response Guidance Examples at the end of the document to see how you might note your observations and respond.Use the example responses provided in the document to assist you with this assignment. a mirror that is supposed to bring light from a star directly overhead to a focus must be shaped like the key to successful change in an organization is A.people. B. bureaucracy. C. timing. D. capital. E. technology. this name refers to the global period of development that occurs early on which transforms a fetus into an increasingly differentiated hierarchy of cells.