The students in Ms. Deans chemistry class are exploring chemistry by creating milk art with food coloring, milk, and dish soap. Ms. Dean plans to give each of her 28 students 0.5 cups of milk. How many pints of milk does Ms. Dean need

Answers

Answer 1
There are 2 cups in a pint. Therefore, to convert 0.5 cups to pints, we need to divide by 2:

0.5 cups ÷ 2 = 0.25 pints

Ms. Dean needs 0.25 pints of milk for each of her 28 students:

0.25 pints/student × 28 students = 7 pints

Therefore, Ms. Dean needs 7 pints of milk for her class.

Related Questions

Please help!!!!!!!!!!!
Solve for X
Find the measure of each angle using the solution to part C

Answers

X=19, the app says that my answer needs to be at least 20 characters so I’m adding words.

14 A national standardized test is given in May that generates a mean score of 350 with a standard
deviation of 18. What is the probability that a randomly selected test score will fall in the
interval 360 to 380?
(1) 0.56
(2) 0.013
(3) 0.24
(4) 0.76

Answers

The probability that a randomly selected test score will fall in the interval 360 to 380 is the option (3), 0.24.

How to solve

To calculate the probability that a test score falls between 360 and 380, we need to standardize these values by subtracting the mean and dividing by the standard deviation.

This gives us:

z(360) = (360-350)/18 = 0.56

z(380) = (380-350)/18 = 1.67

We can then use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores.

The probability is approximately 0.24.

Therefore, the answer is option (3), 0.24.

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Find the equation of the line that passes through the point (3,−5) and is perpendicular to the line y=1/5x-2

Answers

To prove that the line y = -5x + 10 passes through the point (3,-5) and is perpendicular to the line y = 1/5x - 2, we need to show two things:

1. The point (3,-5) lies on the line y = -5x + 10.
2. The slope of the line y = -5x + 10 is -5, which is the negative reciprocal of the slope of the line y = 1/5x - 2.

1. To show that the point (3,-5) lies on the line y = -5x + 10, we can substitute x = 3 and y = -5 into the equation y = -5x + 10:

-5 = -5(3) + 10

-5 = -15 + 10

-5 = -5

Since the equation is true, the point (3,-5) lies on the line y = -5x + 10.

2. To show that the slope of the line y = -5x + 10 is -5, we can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

y = -5x + 10

Comparing this to the general form of the slope-intercept equation, we see that the slope is -5. Therefore, the slope of the line y = -5x + 10 is -5.

Since we have shown that the point (3,-5) lies on the line y = -5x + 10 and the slope of the line is -5, which is the negative reciprocal of the slope of the line y = 1/5x - 2, we have proven that the line y = -5x + 10 passes through the point (3,-5) and is perpendicular to the line y = 1/5x - 2.

In AABC, AB=32, AC= 22, and BC= 20. What is mZA?
m (Do not round until the final answer. Then round to the nearest tenth as needed.)

Answers

The value of measure of ∠A would be,

⇒ ∠ A = 38.68 degree

We have to given that;

In triangle ABC,

AB=32, AC= 22, and BC= 20

Hence, We can formulate;

⇒ sin A = BC / AB

⇒ sin A = 20 / 32

⇒ sin A = 0.625

⇒ A = 38.68 degree

Thus, The value of measure of ∠A would be,

⇒ ∠ A = 38.68 degree

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What is deviance? Identify the term and provide an overview. Think of a time when you or a
friend used informal negative sanctions. To what act of deviance were you or your friend
responding? Did this reaction help maintain social control? Is it possible to function as a society
without the threat of physical violence to keep people under control? Why or why not?

Answers

Deviance is a term used in sociology to describe behavior that violates social norms or expectations. It refers to any behavior that is considered outside of the established rules and expectations of a society or culture.

What are informal negative sanctions?

Informal negative sanctions are the social disapproval or punishment that people receive for violating social norms. An example of informal negative sanctions could be a group of friends ostracizing another friend for breaking a social rule, such as not showing up to a planned event.

In terms of the act of deviance, it could be anything from breaking a minor social norm to committing a serious crime. The reaction of informal negative sanctions is often an attempt to maintain social control by encouraging conformity to the established norms of the group or society.

While physical violence is not necessary to maintain social control, the threat of punishment is an important part of any functioning society. People follow the rules and norms of society because they know that if they do not, there will be consequences. However, it is important to note that violence and punishment should not be the only means of social control. Positive reinforcement, such as rewards for good behavior, can also be an effective way of encouraging conformity to social norms.

In summary, deviance refers to behavior that violates social norms, and informal negative sanctions are a way of enforcing social norms. The threat of physical violence is not necessary to maintain social control, but consequences for deviant behavior are essential for any functioning society.

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Find the horizontal asymptotes and vertical asymptotes of the function [tex]k(x)= \frac{3x^{2} }{(x+1)(x-4)}[/tex]

Answers

the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.

what is  vertical asymptotes  ?

Vertical asymptotes are vertical lines on a graph where a function approaches infinity or negative infinity as the input (x) approaches a certain value. In other words, vertical asymptotes occur when the denominator of a function becomes zero and the function is undefined at that point

In the given question,

To find the horizontal and vertical asymptotes of the function f(x) = 3x²/[(x+1)(x-4)], we need to analyze the behavior of the function as x approaches infinity or negative infinity and as x approaches the vertical asymptotes (if any).

Vertical asymptotes occur at the values of x that make the denominator of the fraction equal to zero. In this case, we have vertical asymptotes at x = -1 and x = 4.

To find the horizontal asymptote, we need to divide the leading term of the numerator by the leading term of the denominator when x approaches infinity or negative infinity. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. However, we can use long division or synthetic division to write the function in the form of a polynomial plus a proper fraction:

f(x) = 3x²/[(x+1)(x-4)] = (3x + 15)/(x² - 3x - 4)

As x approaches infinity or negative infinity, the fraction approaches the value of 3/1 (the ratio of the leading terms of the numerator and denominator), but there is no horizontal asymptote.

Therefore, the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.

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if a spinner has 2 blue, 2 green and 2 red what is the probability of landing on red when it is spinned

Answers

The probability of landing on red is given by the number of red sections divided by the total number of sections. In this case, there are 2 red sections out of a total of 6 sections. Therefore, the probability of landing on red is:

P(red) = 2/6 = 1/3

So the probability of landing on red is 1/3.

Which expression is not equivalent to 2/3×4

Answers

The only expression that is not equivalent to the given fraction expression is: D (2 x 1/3) + (4 x 1/3)

How to multiply fractions?

The correct procedure that we will use to multiply fractions is:

- find a common denominator

- multiply the numerators

- multiply the denominators

- Simplify if necessary.

- Add the numerators and add the denominators

Looking at the options and comparing with the given fraction multiplication problem 2/3 * 4, we see that only option D is not equivalent to it because:

(2 x 1/3) + (4 x 1/3) = 6/3 = 2

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Complete question is:

Which expression is NOT equivalent to 2/3 x 4

A (2x4) /3

B 1/3 x (2x4)

C (4 x 1/3) x 2

D (2 x 1/3) + (4 x 1/3)

you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm

Answers

The rectangular block of wax can make approximately 2 candles.

How do we determine the number of candles that could be made by that block of wax?

To calculate the number of candles, we use the formula

V of wax = l x w x h = 10 cm x 9 cm x 20 cm = 1800 cubic cm

V of candle = l x w x h = 9 cm x 9 cm x 12 cm = 972 cubic cm

1800 / 972 = 1.85

The above answer is based on the full question below;

you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm.

The height of the candle is 12cm and the base width is 9cm

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Is c = 3 a solution to the inequality below?
122 c
yes
no

Answers

The value c = 3 is not a solution to the inequality

Checking if c = 3 is a solution to the inequality

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

122 c

Express properly

So, we have

1 ≥ c

When this inequality is rewriiten. we have

c ≤ 1

This means that the values of c do not exceed 1

The number 3 exceeds 1

So, it means that c = 3 is not a solution to the inequality

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Find the length of the missing side

Answers

Answer:

x = 45°

Because there are 180° in a triangle

Stan lawn mower had 1/8 of a gallon of gasoline in the tank he added 6/10 to the tank after he only had 1/4 of a gallon what was the total used

Answers

Stan used 19/40 of a gallon of gasoline.

Given that;

At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank.

Hence, It means that the number of gallons of gasoline that he has already put in the tank is

1/8 + 6/10 = 29/40 of a gallon.

Now, After he mowed, 1/4 of a gallon was left in the tank.

Therefore, the total amount of gasoline Stan used is

29/40 - 1/4 = 19/40 of a gallon

Thus, the total amount of gasoline Stan used is, 19/40 of a gallon

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PLEASE HURRY

Let u = - 4i + 2j , v = 3i - j and w = - 6j

Find the specified scalar or vector

5u(3v - 4w)

Answers

The specified scalar or vector 5u(3v - 4w) is equal to -420i + 250j.

We can begin by distributing the scalar 5 to the vector 3v - 4w:

5u(3v - 4w) = 5u(3v) - 5u(4w)

Next, we can find the scalar multiples:

5u(3v) = 5(-4i + 2j)(3(3i - j)) = 5(-36i + 10j)

5u(4w) = 5(-4i + 2j)(4(-6j)) = 5(48i - 40j)

Now we can substitute these values back into the original expression:

5u(3v - 4w) = 5(-36i + 10j) - 5(48i - 40j)

Simplifying:

5u(3v - 4w) = -420i + 250j

Therefore, 5u(3v - 4w) = -420i + 250j.

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On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?

Answers

Answer:

78°F

Step-by-step explanation:

If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:

75.5°F + 6°F = 81.5°F

If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:

81.5°F - 3.5°F = 78°F

Therefore, the temperature on Monday was 78°F.



Jazmine has 3 dogs She wants to give each dog 2 treats. How many treats does she need to have total?

Answers

She needs to have 6 treats

Answer:  6

Step-by-step explanation:

you just get those numbers and times them 3 times 2 is 6

please help with these questions it's due tommore​

Answers

7:

To find 6% of 45.50=

0.06x45.50= 2.73

and than 17% of 45.50

0.17x45.50= 7.735

so add 2.73 and 7.735= 10.465

than add 10.465 to $45.50 = $55.965 So the answer is $55.965.

8:

again the same thing but with the different numbers.

0.06x105.75= 6.345

0.20x105.75= 21.15

21.15+6.345= 27.495

so than 105.75-27.495= $78.255

9:

same thing again

146.75x0.25= 36.6875

0.09x146.75= 13.2075

But this time add the tax (13.2075)= 146.75+13.2075= 159.9575

but than you subtract the discount which is 25% so 159.9575-36.6875=123.7

So that is the price! $123.7

I hope that helps!

what are the answers to these questions?

Answers

a) The function of h in terms of r is h=1400/(πr²).

b) The surface area of the can in terms of r is 2800/r+2πr².

c) The corresponding values of r and h that minimize the amount of required material are r≈14.04 cm and h≈2.98 cm.

a) The volume of a cylinder is given by

V = πr²h.

In this case, the volume of the can is

1400 cm³

So we have

1400 = πr²h.

Solving for h, we get

h = 1400/(πr²).

b) The surface area of a cylinder is given by

A = 2πrh+2πr².

Using the expression we obtained for h in part (a), we can substitute it in the equation and get

A = 2πr(1400/(πr²))+2πr²

= 2800/r+2πr².

c) To minimize the amount of required material, we need to find the value of r that minimizes the surface area.
To do this, we take the derivative of the surface area expression with respect to r and set it equal to zero:

dA/dr = -2800/r²+4πr = 0.

Solving for r, we get

r = √(700/π), which is approximately 14.04 cm.

Substituting this value in the expression for h that we obtained in part (a), we get

h = 1400/(π(14.04)²), which is approximately 2.98 cm.

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Two coins are tossed. Assume that each event is equally likely to occur.
​a) Use the counting principle to determine the number of sample points in the sample space.
​b) Construct a tree diagram and list the sample space.
​c) Determine the probability that no tails are tossed.
​d) Determine the probability that exactly one tail is tossed.
​e) Determine the probability that two tails are tossed.
​f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
​a) There​ is/are --------- sample​ point(s) in the sample space.

Answers

a.  There are 4 sample points in the sample space.

What are the probability values for the toss?

a) There are 4 sample points in the sample space.

b) The tree diagram and sample space are:

HH (two heads)

HT (one head, one tail)

TH (one head, one tail)

TT (two tails)

c) The probability that no tails are tossed (two heads) is 1/4 or 0.25.

d) The probability that exactly one tail is tossed (HT or TH) is 1/2 or 0.5.

e) The probability that two tails are tossed is 1/4 or 0.25.

f) The probability that at least one tail is tossed (HT, TH, or TT) is 3/4 or 0.75.

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Last week Kristen spent 4 hours gardening over a period of 7 days .she spent the same amount of time gardening each day.about how much time did she spend gardening each day last week

Answers

Answer:

28

Step-by-step explanation:

i did 7 times 4

thickness of piece of metal in m. 0.00053

Answers

The thickness of the said metal piece is 560 micrometers

How to solve

Solving this question would require us to switch the thickness of the metal from meters to micrometers.

So, 1 meter is equivalent to 1,000,000 micrometers; and when 0.00053 meters is multiplied by 1,000,000, we get:

0.00053 m * 1,000,000 = 560 µm

Consequently, the thickness of the said metal piece is 560 micrometers.

A metal piece's thickness is defined as the distance, measured perpendicular to its opposing surfaces, between those surfaces. It is a crucial aspect in determining the strength and longevity of the metal object and is often stated in length measures like millimeters, inches, or micrometers.

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What is the thickness of the metal piece in micrometers, given that it is 0.00053 meters thick?

What’s the answer? Will give brainliest if correct

Explain reasoning

Answers

The statement that is not true is: C. The translation of a line is a pair of parallel lines.

What is transformation?

In geometry, a transformation is a procedure that modifies a figure's position, size, or shape. Translation, rotation, reflection, and dilation are the four main categories of transformations.

Every point in a figure is translated by the same amount and in the same direction. A rotation revolves a figure around the centre of rotation, a fixed point. A figure is reversed over a line known as the line of reflection in a reflection.

In relation to a fixed point known as the centre of dilation, a dilation expands or contracts a figure by a specific scale factor.

The statement that is not true is: C. The translation of a line is a pair of parallel lines as translation is a transformation that moves every point of a figure the same distance in the same direction.

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the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false

Answers

Since the line splits the square into two regions with equal area, it goes through center of square.

Equation of line through point (12,12)

with slope 5

y−12=5(x−12)

y=5x−2

y-intercept=(0,−2)

Since line passes through points (0.4,0)

and (0.6,1)

it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2

trapezoids with height =1

and bases =0.4

and 0.6

. Therefore, they have the same area.

Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the box in terms of its height, x, in inches.
Is it possible for the height of the box to be 15 inches?
also the question has 3 boxes

Answers

Answer:

Sure, I can help you with that.

Given:

   * The box is 24 inches long.

   * The width of the box is seven inches less than the height.

   * The volume of the box is 2,880 cubic inches.

To solve:

   * Complete the equation that models the box's volume in terms of its height, x, in inches.

   * Determine if the height of the box can be 15 inches.

Solution:

Let's define the following variables:

* $h$ = the height of the box (in inches)

* $w$ = the width of the box (in inches)

* $l$ = the length of the box (in inches)

We are given that  l=24 and w=h−7. We can use these values to find the volume of the box:

[tex]V = lwh = 24(h - 7)h[/tex]

We can simplify this expression to get the following equation:

[tex]V = 24h^2 - 168h[/tex]

To determine if the height of the box can be 15 inches, we can substitute 15 for $h$ in the equation and see if we get a positive value for the volume.

[tex]V = 24(15)^2 - 168(15) = 2160 - 2490 = -330[/tex]

Since the volume is negative, the height of the box can't be 15 inches.

Therefore, the equation that models the box's volume in terms of its height, x, in inches is [tex]$V = 24x^2 - 168x$[/tex]. Consequently, the size of the box can't be 15 inches.

Answer:

Yes

Step-by-step explanation:

The only answer is height = 15 because the -8 will be rejected

College Level Trig Question

Answers

Note tha given the above trigonometric expression, the solution is

x = 2π/3 or 4π/3

How did we arrive at that  ?

We will start by simplifing the equation by moving all the terms involving sin (x/2) to one side..

2sin (x  /2) = √(3)

Then, we can solve for sin(x/2) by dividing both sides by  two  

sin (x /2) = √(3)/2

This is true when x/2 is π /3 or 2π/3, since these are the values where

sin  (  π/3) = √(3)/2 and

sin  (2π/3) = √(3)/2.

To find the values of x, we multiply these solutions by two

x = 2pi/3 or 4pi/3

Since we need to make sure that these solutions are in the given interval (0, 2π)

 both solutions are in the interval, so our final answer is  

x = 2π/3 or 4 π/3

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in the figure below, m JKM=106 degrees, m LKM=66, and KN bisects LKM. Find m JKN

Answers

The value of angle JKN is 73°.

Given that the m ∠JKM = 106 degrees, m ∠LKM = 66, and KN bisects LKM.

So we need to find the value of ∠JKN,

So, using the angles addition postulate,

∠LKM = ∠LKN + ∠MKN

Therefore,

∠LKN = 66/2 [definition of bisector]

∠LKN = 33°

Again, using the angles addition postulate,

∠JKM = ∠JKL + ∠LKM

∠JKL = 106 - 66

∠JKL = 40°

Therefore,

∠JKN = ∠JKL + ∠LKN

∠JKN = 40 + 33

∠JKN = 73°

Hence, the value of angle JKN is 73°.

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HELP ITS AN EMERGENCY

Given the expression: 4x2 + 18x − 10


Part A: What is the greatest common factor? Explain how to find it. (3 points)


Part B: Factor the expression completely. Show all necessary steps. (5 points)


Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)

Answers

Answer:

Part A   ---->    2

Part B   ---->     2 (2x - 1) (x + 5)

Part C   ----->    See explanation below

Step-by-step explanation:

Given expression is
4x² + 18x - 10

Part A

The greatest common factor (GCF) of the terms 4x², 18x and 10 is the largest number that divides into all three numbers without a remainder

To find this
Find the prime factors of each of the terms
4x² = 2 · 2 · x · x
18x = 2 · 3 · 3 · x
10 = 2 · 5

The  prime factor common to all 3 is 2

Therefore the GCF of the expression is 2

Part B

The factored expression can be obtained by factoring out the GCF

4x² + 18x - 10 = 2(2x² + 9x - 5)

We can further factor the term in parentheses:
2x² + 9x - 5

To do this,

Break the expression into groups:

= (2x² - x) + (10x - 5)

Factor x from 2x² - x:     x(2x - 1)

Factor 5 from 10x - 5:    5(2x - 1)

Therefore
(2x² - x) + (10x - 5) = x(2x - 1) + 5(2x - 1)

Factor out the common term 2x -1 to get
(2x - 1)(x + 5)

Therefore
4x² + 18x + 10 = 2 (2x - 1) (x + 5)

Part C
Checking if factorization is correct

Multiply (2x - 1)(x + 5) using the FOIL method
= 2x ·x + 2x · 5 + (-1) · x + (-1) · 5

= 2x² + 10x  -1x -5

= 2x² + 9x - 5

Multiply the whole expression by 2
2 · 2x² + ² · 9x - 2 · 5

= 4x² + 18x + 10

which is the original expression

So the factorization is correct

(x+3) (x-1)squared
????

Answers

Answer:

x^3 + x^2 - 5x + 3

The figure below is a net for a triangular prism. What is the surface area of the triangular prism, in square meters?

Answers

The surface area of the triangular prism is given as follows:

S = 549.15 m².

How to calculate the surface area?

The surface area of a prism is given by the sum of the areas of all the parts that compose the prism.

The prism for this problem is composed as follows:

Rectangle of dimensions 15 m and 13 m.Rectangle of dimensions 15 m and 15.81 m.Two right triangles of sides 9 m and 13 m.

Hence the surface area is obtained as follows:

S = 15 x 13 + 15 x 15.81 + 2 x 0.5 x 9 x 13

S = 549.15 m².

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The triangular prism's surface area is given as follows:

S = 549.15 m².

The total area of all the prism's component components determines the prism's surface area.

The following is the structure of the prism for this issue:

rectangle with 15 and 13 meter sides.

rectangle with measurements of 15 and 15.81 meters.

two right triangles with 9 and 13 meter sides. So, the following is how the surface area is determined:

S is equal to 15 x 13 plus 15 x 15.81 and 2 x 0.5 x 9 x 13

S = 549.15 m².

8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False

Answers

Answer:

FALSSOO

Step-by-step explanation:

lol srry I pretty sure its false I did teh math

Hope its right and it helps! c:

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

Answers

It is D because X plus 3 would give 4x so Mines 1 u get -3
Other Questions
Give a Multi-Paragraph Explanation on what "Daylong Efforts to Repair Levee Fail" is about. Alice is going to her primary care physician to get vaccinated. Which is a reason that Alice should choose to get vaccinated?Vaccination reduces the chance of ever getting sick.Vaccination prevents pathogens from entering the body.Vaccination helps keep those who cannot be vaccinated safe.Vaccination increases the chance that pathogens will be effective. Are there any text features? Are they helpful? If so, how?Are there any text features? Are they helpful? If so, how? 5 unit 8 quiz SOTyrone is on the debate team and is preparing an argument against evolutionary theory. Which point should he include in his argument? A. There are clear stages of social development. B. Societies strive for and often achieve progress. C. Evolution is something that can only occur in nature. D. Industrialization brought unprecedented destruction in the 20th century. genes on a plasmid are transferred through a population of microbes, sometimes of different species, through horizontal gene transfer. if a scientist sequences a specific gene carried on the plasmid and compared the sequence of many different microbes, what pattern of relationships would be seen? A roller coaster has a cart with a mass of 150 kg and a track that spans 75 meters. what is the average velocity of the cart if it took 3 minutes to complete the track? Screenshot below i have no idea how to solve this T and I Construction is paving a rectangular-shaped parking lot with Hot Asphalt Mix. The parking lot is 100 yards by 44 yards and will have a 9-inch base. If the Hot Asphalt Mix has a density of 140 pounds per cubic foot, about how many tons of mix will be needed to pave the parking lot?A. ) 77B. ) 91C. ) 2079D. ) 2772 50 PONTS ASAP Triangle LMN has vertices at L(1, 4), M(1, 0), and N(3, 4) Determine the vertices of image LMN if the preimage is rotated 90 clockwise about the origin.L(4, 1), M(0, 1), N(4, 3)L(1, 4), M(1, 0), N(3, 4)L(4, 1), M(0, 1), N(4, 3)L(1, 4), M(1, 0), N(3, 4) MARKING BRAINLEIST IF CORRECT ASAP [tex] \underline{ \large{ \sf{ \purple{Question:-}}}}[/tex]Differentiate between executing the applet with appletviewer and HTML file.[tex] \\ \\ \\ [/tex]Thank You ! Helppppppp anyoneeee? The term group polarization refers to the tendency for two opposing factions to emerge within a group two opposing factions to emerge within a group A the prevailing opinion within a group to become more extreme after discussion the prevailing opinion within a group to become more extreme after discussion B a single leader to eventually dominate most groups a single leader to eventually dominate most groups C one or more group members to eventually have their opinions disregarded one or more group members to eventually have their opinions disregarded D democratic leadership to decrease as the length of meetings increases Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. || 0 || = 3, = 5 || v || = 1, , u" In Scene 5, Marigold is upset when Midas turns her roses to gold. Midas says, "But they are worth a fortune. " Marigold replies, "They are ruined-as I fear are you. " What do these lines reveal about the two characters and how they differ? Find the distance between the two points in simplest radical form.(8,6) and (3,6)(8,6) and (3,6) participating in a food fight is destructive to education process because ? Garden canes have lengths that are normallydistributed with mean 208. 5cm and standarddeviation 2. 5cm. What is the probability of the lengthof a randomly selected cane being between 205cmand 210cm? Correct to 3 decimal places The solution to the exact differential equation (5t^2 + 8y) dy + (10yt + 9t^2) = 0 is A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. What is the initial momentum of the blue train?A. 20 kgm/sB. 200 kgm/sC. 50 kgm/sD. 0 kgm/s