The vertex form of the equation of a horizontal parabola is given by x=1/4p(y-k)2+h , where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use GeoGebra to create a horizontal parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below.
Part A
Mark the focus of the parabola you are going to create at F(-5, 2). Draw a vertical line that is 8 units to the right of the focus. This line will be the directrix of your parabola. What is the equation of the line?

Part B
Construct the line that is perpendicular to the directrix and passes through the focus. This line will be the axis of symmetry of the parabola. What are the coordinates of the point of intersection, A, of the axis of symmetry and the directrix of the parabola?

Part C
Explain how you can locate the vertex, V, of the parabola with the given focus and directrix. Write the coordinates of the vertex.

Part D
Which way will the parabola open? Explain.

Part E
How can you find the value of p? Is the value of p for your parabola positive or negative? Explain.

Part F
What is the value of p for your parabola?

Part G
Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.

Part H
Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.

Part I
Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work

Part J
To practice writing the equations of horizontal parabolas, write the equations of these two parabolas in vertex form:

focus at (4, 3), and directrix x = 2
focus at (2, -1), and directrix x = 8

Answers

Answer 1

Answer:

A.  x = 3

B.  A = (3, 2)

C.  V = (-1, 2)

D.  Left

E.  See below.

F.  p = -4

[tex]\textsf{G.} \quad x=-\dfrac{1}{16}(y-2)^2-1[/tex]

H.  See attachment.

[tex]\textsf{J.} \quad x=\dfrac{1}{4}(y-3)^2+3[/tex]

     [tex]x=-\dfrac{1}{12}(y+1)^2+5[/tex]

Step-by-step explanation:

Part A

The given focus of the parabola is F (-5, 2).

The equation for a vertical line is x = a.

Therefore, a vertical line that is 8 units to the right of the focus is:

[tex]\implies x=-5+8=3[/tex]

Therefore:

Directrix:  x = 3

Part B

A line that is perpendicular to the directrix is a horizontal line.

The equation for a horizontal line is y = a.

As the horizontal line passes through the focus:

Axis of symmetry:  y = 2

The point of intersection, A, of the axis of symmetry and the directrix is:

(3, 2)

Part C

The vertex of the parabola is the point that is halfway between the focus and the directrix.

Therefore:

Vertex = (-1, 2)

Part D

The parabola will open sideways as the axis of symmetry is horizontal.

As a parabola never touches its directrix, this parabola will open to the left.

Part E

The absolute value of p is the distance between the vertex and the focus, and the distance between the vertex and the directrix.

For a sideways parabola, if p > 0 the parabola opens to the right, and if p < 0 the parabola opens to the left.

Part F

Since the focus and directrix are 8 units apart, and the parabola opens to the left:

p = -4

Part G

Vertex form of a sideways parabola:

[tex]\boxed{x=\dfrac{1}{4p}(y-k)^2+h}[/tex]

Given:

Vertex = (-1, 2) ⇒ h = -1, k = 2p = -4

Substitute the values into the formula:

[tex]\implies x=-\dfrac{1}{16}(y-2)^2-1[/tex]

Part H

See attachment.

Part I

Rearrange the equation of the parabola shown in the attachment:

       [tex]y^2+16x-4y=-20[/tex]

[tex]\implies 16x=-y^2+4y-20[/tex]

[tex]\implies 16x=-(y^2-4y+4)-16[/tex]

[tex]\implies 16x=-(y-2)^2-16[/tex]

[tex]\implies x=-\dfrac{1}{16}(y-2)^2-1[/tex]

This matches the equation in vertex form in part G.

Part J

Given:

Focus = (4, 3)Directrix:   x = 2

Therefore:

Vertex = ((4+2)/2, 3) = (3, 3)Parabola opens to the right, so p > 0.p = |4 - 3| = 1

Therefore, the equation of the parabola with the given parameters is:

[tex]\boxed{x=\dfrac{1}{4}(y-3)^2+3}[/tex]

Given:

Focus = (2, -1)Directrix:   x = 8

Therefore:

Vertex = ((8+2)/2, -1) = (5, -1)Parabola opens to the left, so p < 0.p = -|2 - 5| = -3

Therefore, the equation of the parabola with the given parameters is:

[tex]\boxed{x=-\dfrac{1}{12}(y+1)^2+5}[/tex]

The Vertex Form Of The Equation Of A Horizontal Parabola Is Given By X=1/4p(y-k)2+h , Where (h, K) Is

Related Questions

In a class, the ratio of girls to boys is 2:3. There are 12 boys in the class. How many women are in the class?

Group of answer choices

1. 13

2. 18

3. 8

4. 11

Answers

Answer:

8

Step-by-step explanation:

Because we multiply 4 by both sides

2 times 4 is 8 for girls

4 times 3 is 12 for boys

So it asked for girls and 4 times 2 is 8

So the answer is 8

8 women are in the class.

Find the surface area
3yd
3yd
8yd

Answers

Answer: 72

Step-by-step explanation: 3 x 3 x 8 = 72

3 x 3 = 9

9 x 8 = 72

Question 43 of 50
The graph of an exponential function that is increasing is ƒ(x) = (1/5)x.

False

True

Answers

Answer:

Option: A is the correct answer.

Step-by-step explanation:

Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.

Hence, the rate has to be less than 1.

So, option: B and D are ruled out as they represent a growth exponential function.

Also from the graph given in the question we could observe that when x=0 the value of y is:

y=4

So, the exponential function that is represented by the graph is:

Answer: true

Step-by-step explanation:

The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )

Answers

The coordinates of the points are given as follows:

Point Z: (3,5).Point P: (6,2).Point T has coordinates (1,4).

The coordinates of the fourth vertex are of:

(4,1).

What are the ordered pairs?

The notation of an ordered pair is given as follows:

(x-coordinate,y-coordinate).

The x-coordinate is the horizontal movement, defined as follows:

Right: positive x-coordinate.Left: negative x-coordinate.

The y-coordinate is the vertical movement, defined as follows:

Up: positive y-coordinate.Down: negative y-coordinate.

The equivalent sides on a rectangle are congruent, hence the equivalent sides are:

TZ and PM.

Hence the missing coordinate M is:

1 unit down from P, hence y = 2 - 1 = 1.2 units left from P, 6 - 2 = 4.

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Find the values of x and y.
x + 2 = 3y

Answers

The answer is going be X=3y-2

{ | ∈ and 3 ≤ < 9} ROOSTER MODE

Answers

The rooster form of the given set is {3, 4, 5, 6, 7, 8}

What is the rooster form of set?

The contents of a set can be described by listing the elements of the set, separated by commas, inside a set of curly brackets. This way of describing a set is called roster form.

Given a set, {I ∈ ≤3<9}

Converting in rooster form, {3, 4, 5, 6, 7, 8}

Hence, The rooster form of the given set is {3, 4, 5, 6, 7, 8}

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Keiko estimated that it would take her 18 hours to build a shed for her 12.5 backyard. It only took her hours. What is the percent error of her estimate relative to the time it actually took?

Answers

The percent error of her estimate relative to the time it actually took is approximately 5.9%

What is the percent error?

Estimated time to construct the shed = 18 hoursActual time taken to build the shed = 17 hours

Error = Estimated time to construct the shed - Actual time taken to build the shed

= 18 hours - 17 hours

= 1 hour

Percent error = error / actual time × 100

= 1/17 × 100

= 0.058823529411764 × 100

= 5.882352941176470

Approximately,

5.9%

Consequently, the percent error of Keiko estimation and actual time is 5.9%

Complete question:

Keiko estimated that it would take her 18 hours to build a shed for her 12.5 backyard. It only took her 17 hours. What is the percent error of her estimate relative to the time it actually took?

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PLEASE HELP ASAP 20 POINTS
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 22.75°. What is the measure of ∠P?

22.75°
78.625°
134.5°
157.25°

Answers

Answer:

<P = 78.625°

Step-by-step explanation:

All of the angles in a triangle add up to 180.

<R + <Q + <P = 180

We can use x for <P and <Q, as they represent the same value because they are congruent.

<R + x + x = 180

Now, we want to substitute known values in and work backwards to find out what angle <P and <Q are.

2x + <R = 180

Put 22.75 in for <R.

2x + 22.75 = 180

Subtract on both sides.

2x = 157.25

Divide 2 on both sides to isolate x

x = 78.625

Since x represents <P and <Q, that means they are both 78.625 degrees each.

<P = 78.625

HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.

Answers

Answer:

no, it isn't symmetrical

Step-by-step explanation:

give me brainliest pls

If one of the factors from the product of 3 identical factors of a number is 4, what is that number?

Answers

Answer:

64

Step-by-step explanation:

Since one of the 3 identical factors is 4, then the number is 4×4×4, or 4³

A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D

Answers

The required leaves values for the given stems are calculated below.

What is Stem-and-Leaf plot?

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

According to question:

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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-14x - 6 + 8 What is the answer???

Answers

Answer:

The answer is 2-14x or

-12x

7x - 10y = 28
7x - 3y = 28

Answers

Answer:

(4, 0)

Step-by-step explanation:

7x - 10y = 28

7x - 3y = 28

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

(7x - 10y = 28) × -1

-7x + 10y = -28

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

-7x + 10y = -28

7x - 3y = 28

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

           7y = 0

             y = 0

7x - 10y = 28

7x - 10(0) = 28

7x = 28

÷7   ÷7

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

x = 4

(x, y)

(4, 0)

I hope this helps!

Answer:

x-intercepts for 7x - 10y = 28:  

(4,0)

y-intercepts:

(0, -14/5)

x-intercepts for 7x - 3y = 28:

(4, 0)

y-intercepts:

(0, -28/3)

Step-by-step explanation:

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. a

Answers

The given statement would be "false".

What is the quick ratio?

A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.

As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.

Thus, the given statement would be "false".

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The question seems to be incomplete the correct question would be:

Find the statement true or false.

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)

solve for U
3u − –2 = 8
U=

Answers

U = 2
3(2) - -2 =8
3 times 2 equals 6.
And 6 plus 2 equals 8.
When a subtraction symbol is in front of a negative number you add.
The appropriate answer is

+*+=+
+*-= -
-*- = +
-*+= -
So back to the Question
3*2= 6
6+2= 8

U=2
Pls rate as the brainliest

If fx)=1/9x-2, what is f¹(x)?
0 f¹(x)= 9x + 18
0 f¹(x)= 1/9x+ 2
0 f¹(x)= 9x+2
0 f¹(x)= -2x + 1/9

Answers

Answer:

f⁻¹(x)= 9x + 18

Step-by-step explanation:

1. Replace f(x) with x, and x with y:  x=1/9y-2

2. Solve for y:

   x=1/9y-2

   9x=y-18

   9x+18=y

3. Replace y in step 2 with f⁻¹(x)

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

From the solution to the given inequality, the correction representations are -6x + 15 < 10 - 5x and a number line from -3 to 7, with an open circle at 5 and an arrow pointing to the right.

Solving Linear Inequalities

From the question, we are to determine the correct representations of the given inequality

The given inequality is

-3(2x - 5) < 5(2 - x)

To determine the correct representation, we will solve the inequality

Solving the inequality

-3(2x - 5) < 5(2 - x)

Clear the parentheses by applying the distributive property

-6x + 15 < 10 - 5x

Add 6x to both sides

-6x + 6x + 15 < 10 - 5x + 6x

15 < 10 + x

Subtract 10 from both sides

15 - 10 < 10 - 10 + x

5 < x

Therefore,

x > 5

Hence, the correction representations are -6x + 15 < 10 - 5x and the number for x > 5

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The value of a brand new car depreciates 10% when leaving the agency and another 5% after the first year of use. After one year of use, the value of a certain automobile is $51,300.00. Which of the following mathematical expressions correctly represent the value (x) of this automobile zero km? x times open parentheses 0 comma 10 plus 0 comma 05 close parentheses equals 51300 double right arrow x equals 342000 x times open parentheses 0 comma 90 plus 0 comma 95 close parentheses equals 51300 double right arrow x equals 26308 x equals 51300 plus 51300 over 10 plus 51300 over 5 double right arrow equals 66690 x equals 51300 minus open parentheses 51300 over 10 plus 51300 over 5 close double right arrow x equals 35910 x times 0 comma 90 times 0 point 95 equals 51300 double right arrow x equals 60000​

Answers

ALGEBRAIC EXPRESSIONS

The value of the car zero km is given by the expression x = 60000.

LET ME EXPLAIN SOMETHING:

An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.

LET'S GO TO THE SOLUTION:

Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:

When you leave the agency, your value decreases by 10%:

x·(100% - 10)% = 90% of x = 0.9x

After a year, its value decreases by 5%:

0.9x·(100% - 5)% = 95% of 0.9x = 0.855x

0.855x = 51300

x = 60000

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Find the distance between (−7, 2) and (−6, 3). Round your answer to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]

Step-by-step explanation:

Points:[tex](x_1,y_1)=(-7,2)[/tex][tex](x_2,y_2)=(-6,3)[/tex]Distance Formula:Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Put the above points in the formula.

[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]

HELP PLEASE this is urgent

Answers

Answer:

10.5 cm

Step-by-step explanation:

YZ corresponds to TU

YZ:TU = 9:3 = 3:1

XY corresponds to ST

ST = 3.5 cm

XY:ST = 3:1

XY/ST = 3/1

XY/3.5 cm = 3

XY = 10.5 cm

Answer is ST = 10.5 cm

Step by step

Line up your known sides

TU and ZY are similar
The dilation rate is small to large x3 ratio
(9/3) therefore
ST to TY is also rate of x3
ST = 3.5 x 3 = 10.5cm

PLEASE HELP ME.!! I WILL GIVE BRAIN LIST

Which graph shows the image of ΔABC after a rotation about the origin?

Answers

Choice B shows a rotation about the origin. When rotating a figure, the figure shifts its position to form a 90° angle intercepting through the origin and to the corresponding pre-image. Choices A and C show a reflection where the figure is mirrored, not rotated.

Answer: Choice B

Answer:

B

Step-by-step explanation:

A is a reflection across the y-axis.

B is the result of a rotation around the origin either by 90° counterclockwise, or by 270° clockwise.

C is a reflection across the x-axis.

D is a translation (shift) by -5 to the left.

If angle 1 is 25 degrees in the parallelogram pictured above, what is angle 2

if q is 1x+ 10 and AC is 7x+8 what is the length of AC? Round your answer to the nearest hundredth

Answers

Applying the properties of a parallelogram:

1. Length of AC = 24.8 units

2. x = 1

What are the Properties of a Parallelogram?

Some properties of parallelogram we need to recall in  order to solve the problem given are:

They have two pair of sides that are parallel to each other and also of the same length.They have two diagonals that bisect each other into equal halves.

1. q = 1x + 10

AC = 7x + 8

Therefore:

q = 1/2(AC) [based on the property of a parallelogram]

Substitute

x + 10 = 1/2(7x + 8)

Solve for x

2(x + 10) = 7x + 8

2x + 20 = 7x + 8

2x - 7x = -20 + 8

-5x = -12

x = -12/-5

x = 2.4

Length of AC = 7x + 8 = 7(2.4) + 8

Length of AC = 24.8 units

2. x + 8 = 7x + 2 [based on the property of a parallelogram]

x - 7x = -8 + 2

-6x = -6

-6x/-6 = -6/-6

x = 1

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The midpoint of AB is M (3, -1). If the coordinates of A are (8, 4), what are the coordinates of B?

Answers

The coordinates of B are (15,-6) :)

31 MULTIPLE CHOICE which of the following is not possible geometry

Answers

Answer:

? where are the questions i will edit when answer arrive.

Step-by-step explanation:

Last year, 769 of the 1,307 residents in a small town owned more than one vehicle.

Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle.

Answers

Answer:
Around 58 percent

mean of 1/3 and - 2/5

Answers

Answer:

-1/30

Step-by-step explanation:

add the two numbers and divide by 2

A line has a slope of 1 and passes through the point (-2, 8). What is its equation in slope-intercept form?

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-2)}) \implies y -8= 1 (x +2) \\\\\\ y-8=x+2\implies {\Large \begin{array}{llll} y=x+10 \end{array}}[/tex]

Answer: The answer is y=x+10

hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image

Answers

Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

Choose an equation in slope-intercept form for the line that passes through (0,7) and is parallel to the y=4x-19
a. y= (1/4)x - 7
b. y= (1/4)x + 9
c. y = 4x + 3
d. y = 4x + 7

Answers

Answer:

Step-by-step explanation:

You dont even need to look at the slope. For it to pass through (0,7) answer d with the +7 at the end is the only right answer

your welcome

D

The price of a gallon of unlead gas has risen to $2.88 today. yesterdays price was $2.83. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

I’m probably wrong I think it is $2.90

Hope this helps!
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A small seawater ecosystem suddenly receives too much rain. Which is the most likely result? A. The salinity increases then returns to normal. B. The salinity decreases.C. The salinity remains the same. D. The salinity destroys the inhabitants. Which element of the constitution most reflects a federalist belief? A. articles I give the Federation government the power to tax citizens B. article V creates a process for amending the constitution in the future. C. the preamble outlines important principles of a constitution. D. the first amendment protects freedom of speech in religion. Find the missing side length.Assume that all intersecting sides meet at right angles.Be sure to include the correct unit.in your answer.7 yd9 ydL13 yd15 yd4 yd 1) Which correctly describes sister chromatids? (1 point)ResponsesThey are the daughter cells that form during cell replication.They form during metaphase when DNA is replicated..They make up the mitotic spindle within the cell.They are part of the lined-up chromosomes in mitosis.2)Which of the following correctly orders events during mitosis?(1 point)The mitotic spindle attaches to chromosomes. Microtubules organize the chromosomes. The nuclear membrane dissolves.Microtubules organize the chromosomes. The nuclear membrane dissolves. The mitotic spindle attaches to chromosomes.The nuclear membrane dissolves. The mitotic spindle attaches to chromosomes. Microtubules organize the chromosomes.The nuclear membrane dissolves. Microtubules organize the chromosomes. The mitotic spindle attaches to chromosomes. Which one blue, light blue , yellow or red Solve.7 2/5=2/3x4 1/2Enter your answer as a mixed number in simplest form in the box. x = a research team runs an experiment to determine if a new security system is more effective than the previous version. what type of results are required for the experiment to be statistically significant? A ball is thrown into the air vertically with a velocity of 112 feet per second. isotropic point sources each emitting s neutrons/sec are placed in an infinite moderator at the four comers of a square of side a. compute the flux and current at the midpoint of any side of the square and at its center. 34 points for question which role or responsibility would the nurse leader fulfili when setting priorities for achieving success by using the simplest and fastest method of communication In multicellular eukaryotes, different types of cells have _______ genes, and _______ gene expression. what are the goods and tools that are used to make products? Capital Labor Synthetic resources None of the above Read the conclusion of The Adventures of Tom Thumb.And now let us see what has become of the wicked ogre, whom we left sleeping on the rock.When he awoke he missed his seven-league boots, and set off for home very angry.On his way he had to cross a bog; and, forgetting that he was no longer wearing his magic boots, he tried to cross it with one stride. But, instead, he put his foot down in the middle and began to sink. As fast as he tried to pull out one foot, the other sank deeper, until at last he was swallowed up in the black slimeand that was the end of him.The first sentence of this conclusion is included tohelp readers solve the mystery of the story.describe the resolution of conflict for readers.revisit characters from a previous part of the story.include details to help readers visualize the setting. You round jumpys time to the nearest tenth of a second, that jumpys time is 19.6 seconds isopropyl alcohol is mixed with water to produce a 40.0% (v/v) alcohol solution. how many milliliters of each component are present in 635 ml of this solution? assume that volumes are additive. although most individuals like to think that they make decisions based on reason and cognition, research indicates that behavior is also influenced by: a client who has moderate, persistent, chronic neuropathic pain due to diabetic neuropathy takes gabapentin (neurontin) and ibuprofen (motrin, advil) daily. if step 2 of the world health organization (who) pain relief ladder is prescribed, which drug protocol should be implemented?