!!!!!!!!!!!!!!URGENT!!!!!!!
Some information is given about each sphere. Order them from least volume to greatest volume. You may sketch a sphere to help you visualize if you prefer. Sphere A: Has a radius of 4 Sphere B: Has a diameter of 6 Sphere C: Has a volume of 64 Sphere D: Has a radius double that of sphere B.

!!!!!!!!!!!!!!URGENT!!!!!!!Some Information Is Given About Each Sphere. Order Them From Least Volume

Answers

Answer 1

The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.

What will be the volume of the sphere?

The volume of the sphere is calculated as:

= 4/3 πr³

where r = radius

The volume of sphere A will be:

= 4/3 πr³

= 4/3 × π × 4³

= 85.3π

The volume for sphere B will be:

= 4/3 πr³

= 4/3 × π × (6/2)³

= 4/3 × π × 3³

= 36π

The volume for C is given as 64π.

The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6

= 4/3 πr³

= 4/3 × π × 6³

= 288π

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Related Questions

10. One contestant on a game show has
1,500 points and another contestant has
-250 points. What is the difference
between the scores of the contestants?

Answers

1750.
it's the difference between 1500 and -250, so simply add the two.
think about it like this:
one number is lower than zero, so you already have the 1500 minimum for a difference. but it isn't bang on zero, it's 250 less than that. so the answer is 1750.

A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B. What is the length of each side?

Answers

Lengths are:

Side A = 4.25

Side B = 6.25

Side C = 9.25

What is perimeter?

The perimeter is the length of the shape's perimeter. It is determined by adding up all of the shape's sides. It is linearly stated and one-dimensional. Area, on the other hand, quantifies how much space a shape takes up. It is stated in square units and has two dimensions. The total distance around a shape, or the sum of its side lengths, is the shape's perimeter. Units used to measure perimeter (P) include millimeters (mm), centimeters (cm), and meters (m).

Given Data

A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B

Side A = 2Side B - 2

Side C = Side B + 3m

Perimeter = Sum of all sides

Perimeter = Side A + Side B +Side C

Equating values

26 = 2SideB - 2 + Side B + Side B + 3

26 +2 - 3 = 4 Side B

25 = 4 Side B

Side B = [tex]\frac{25}{4}[/tex]

Side B = 6.25

Side A = 2(2.25) -2

Side A = 4.25

Side C = 6.25 +3

Side C = 9.25

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Please help Determine an expression that would represent the area of the figure shown below:

Answers

The expression that represents the area of the figure is: D. x² + 5x + 6.

What is the Area of a Triangle?

The area of a triangle can be found using the following formula:

Area of triangle = 1/2 × base × height.

Given the following parameters for the triangular figure shown:

Length of the base of the triangle = 2x + 4

Height of the triangle = x + 3

The area of the triangle = 1/2 × (2x + 4) × (x + 3)

Expand

The area of the triangle = 1/2 [2x(x + 3) + 4(x + 3)]

The area of the triangle = x(x + 3) + 2(x + 3)

The area of the triangle = x² + 3x + 2x + 6

The area of the triangle = x² + 5x + 6

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a river barge travels at an average of 8 mi/h in still water. the barge travels 60 miles up the mississippi river and 60 miles down the river in a total of 16.5 hours. what is the average speed of the current in this section of the mississippi river? round the tenths place.

Answers

the average speed of the current in this section of the mississippi river is 5.8

let C = the speed of the current

then B - C = effective speed up river

B+C =effective speed down river

time up + time down = 16.5 hrs

60/B-C+60/B+C= 16.5

taking lcm and solving we get

480+60C +480-60C= 16.5 (64 - C^2)

960= 1056 - 16.5 C^2

16.5 C^2 =96

C^2= 5.82

Hence , the average speed of the current in this section of the mississippi river is 5.8

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1/5x=15 what is x equal to?

Answers

Answer:

x=75

Step-by-step explanation:

because 1x=15

15x5=75 or 5 x

Which expression can be used to find the total number of squares below?


6 × 7

7 × 5

6 × 1

7 + 5

6 + 1

Answers

7 × 5 is used to find the total number of squares.

Each has 7 small squares.

There are 5 parts,

So we can write:

7+7+7+7+7

That is adding 7 five times. By this we get the total number of square.

So by multiplying 7 by 5 we get the total number of square.

= 7× 5

Therefore the expression 7×5 is used to find the total number of squares.

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A gym charges for attending exercise classes. Raquel pays $10 to attend
each class because she is a non-member. Since Viola is a member, she pays $15 per
month for a membership fee, but only $5 for each class.

Set the two expressions equal to each other. Solve this equation to determine how
many classes they would each have to attend to have the same cost.

Answers

The number of classes that they would each have to attend to have the same cost is 3 classes.

How to calculate the equation?

Viola is a member, she pays $15 per month for a membership fee, but only $5 for each class. This will be illustrated as 15 + 5x.

Raquel pays $10 to attend each class because she is a non-member. This will be illustrated as 10x

where x = number of classes

Therefore, the equation will be equated together. This will be:

10x = 15 + 5x

Collect like terms

10x - 5x = 15

5x = 15

Divide

x = 15 / 5 = 3

The number of classes is 3.

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Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?

Answers

The most appropriate choice for revenue and profit will be given by-

Profit expected from a 100-well drilling program = $[tex]146.2[/tex]

What is revenue and profit?

Total income generated by sale of goods and service is called revenue.

If [tex]p[/tex] is the cost of producing one unit of a commodity and [tex]q[/tex] is the number of units of the commodity, then the product of [tex]p[/tex] and [tex]q[/tex] gives the revenue.

If the revenue obtained by selling a commodity is more than the cost, difference between revenue and cost gives the profit.

Here,

Number of economic wells = 11

An economic well produces an average income of $23

Revenue obtained = $[tex]$[/tex][tex](23 \times 11)[/tex]

Number of dry wells = [tex]100 - 11[/tex]

                                  = [tex]89[/tex]

Average cost of a dry hole is $1.2 million

Cost of 89 dry holes = $[tex]$[/tex][tex](89 \times 1.2)[/tex]

                                   = $[tex]106.8[/tex]

Profit = Revenue - cost

         = $[tex](253-106.8)[/tex]

         = $[tex]146.2[/tex]

Profit  expected from a 100-well drilling program = $[tex]146.2[/tex]

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Complete Question

The diagram has been attached

Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?

how do i do this question

Answers

Answer: So the question is asking you to see what will happen is like attempt 2.

Step-by-step explanation:

So I recommend reading what to do, if you still don't know, you can search it up or maybe even watch a video of how to do it.

I really hope this helps you!

Why can we consider the sample mean in random samples of size n from a given population to be a random variable?.

Answers

The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.


What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.


What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.

As the population is a huge number and not linear in growth we prefer to take random variable.

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the graph of F(x) = |x| is shown below. if you horizontally shift this function right 7 units, what is the equation of the new function?

Answers

ANSWER:

C. G(x) = |x - 7|

STEP-BY-STEP EXPLANATION:

An absolute value function has the following form:

[tex]y=|x-a|+b[/tex]

Where (a, b) is the origin, if we want to move 7 units to the right, we must add 7 units on the x-axis, that is, in a, therefore, the function would be:

[tex]\begin{gathered} G\left(x\right)=\left|x-+7\right| \\ \\ G(x)=\lvert x-7\rvert \end{gathered}[/tex]

So the correct answer is C. G(x) = |x - 7|

A rectangle concrete patio is 20 FEET long, 12 FEET wide, & 4 INCHES thick. What is the volume in cubic feet, of the concrete?

Answers

960 cubic feet.

To find the volume, multiply length, times width, times height

Answer:960

Step-by-step explanation:

4x12x20=960

please help me ty

this needs a step-by-step explanation

Answers

Answer:

4x3 which would be 12

Step-by-step explanation:

You write the words as numbers. Check if your answer is the same as the answer you have put for Number 4 and explain the difference

four times three can be numerically written as 4×3 which is equal to 12.

What are some alternative names for arithmetic operations?

The addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

We know an alternative name for multiplication is times.

Given in the question four times three, this means we have to multiply 4 and 3 which is,

= 4×3.

= 12.

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Which algebraic expression is equivalent to the expression below?

8(3x - 5)
A.
24x - 40
B.
8x - 3
C.
8x - 8
D.
24x + 40

Answers

Answer: A

Step-by-step explanation:

Using the distributive property,

[tex]8(3x-5)\\\\=8(3x)-5(8)\\\\=24x-40[/tex]

ASAP!! 4(x + 4) + 2x = 52

Solve for X and include step by step explanation for branliest.

Answers

Answer:

x = 6

Step-by-step explanation:

4 ( x + 4 ) + 2x = 52

Use distributive property to open parenthesis and combine like terms

4x + 16 + 2x = 52

6x + 16 = 52

6x = 52 - 16

6x = 36

x = 6

what is -3.1 x (-2.9)

Answers

The answer is : +8,99

through: (-4,-2), slope 7/4

Answers

Answer:

y = 7/4x + 5

Step-by-step explanation:

Point slope form:

y+2 = 7/4(x+4)

y+2 = 7/4x + 7

y = 7/4x + 5

:]

Which type of transformation is described by (x,y)
(x,y) → (x-4, y+8)?

Answers

(x, y) => (x-4, y+8)  is a transformation of 4 units left and 8 units up

How is the transformation described?

From (x, y) to (x-4, y+8) ,

(a) Let us consider x => (x - 4)

Consider x axis and the ' - ' sign

Here a point moves  4 units to the left

(b) Let us consider y => (y + 8)

Consider  y axis and the ' + ' sign

Here a point moves  8 units  upwards

What is a transformation?

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. Translation, rotation, reflection, and expansion are the four different types of transformation. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image. Every point is equally distant from a fixed line in a reflection. Rotation is the act of turning about a central point .Translation is where every point of the shape must translate the same amount and in the same direction. A dilation is a resizing. A form changes size when you adjust it; even so, it retains the same appearance.

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Kesha is an hourly worker and is paid bi-weekly. Her wage is $25, and she is scheduled for 8 hours a day for 5 days a week. She also works 4 hours every other Saturday at time-and-a-half pay. How much is the gross income on Kesha’s paystub normally?(1 point) Responses $2,000 $2,000 $2,100 $2,100 $2,150 $2,150 $4,300

Answers

Answer:

$2,150

Step-by-step explanation:

Givens

We are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.

We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.

We are asked to find Kesha's gross income on her pay stub.

Solve

First, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:

[tex]\$25 \times 40 = \$1,000[/tex]

Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):

[tex]\$1,000 \times 2 = \$2,000[/tex]

Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:

[tex]\$25 \times 1.5 =\$37.50[/tex]

Then, multiply this value by 4 to represent the hours she works every other Saturday:

[tex]\$37.50 \times 4 = \$150[/tex]

NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.

Finally, add her time-and-a-half pay to her bi-weekly pay:

[tex]\$2,000 + \$150 = \$2,150[/tex]

Final Answer

Therefore, Kesha's gross income on her pay stub is $2,150.

Find the y-intercept of the line on the graph. Help pls!

Answers

Answer:

Y-intercept is 4

Step-by-step explanation:

due to X and Y lines it would be 4 lol

Have a good day

Answer:

It is 4

Step-by-step explanation:

The line intercepts the y axis at 4

Mark me as brainliest

Simplify the expression √9x^3/25y^2 and be sure to explain your steps!

Answers

The expression √9x³/25y² when simplified gives the result 3x³/25y².

What is the mathematical definition of expression?In mathematics, an expression is a statement made up of terms and operations. The terms can be numbers or variables with coefficients. Addition, subtraction, multiplication, and division are all possible operations.Simplifying an expression is the same as solving a math problem. When you simplify an expression, you are attempting to write it in the simplest feasible manner.

The given expression is √9x³/25y².

In the expression, calculate the square root of 9.

As a result, we have the following expression.

⇒ 3x³/25y²

The above expression cannot be simplified any further.

Therefore, the simplified expression is 3x³/25y².

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In Rodger's state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly unemployment is 65% of that amount. In the quarter including January, February, and March, Rodger made a total of $13,950.80. In the quarter including April, May, and June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.

Answers

Rodger's weekly unemployment amount is $ 705.0225

Given,

The total of the quarterly wages of two consecutive quarters and dividing by 26.

The weekly unemployment is 65% of that amount.

Rodger made a total of $13,950.80.

and, he made a total of $14,250.10

We have to follow the some steps for solving question:

Step 1:  Find the total of the quarterly wages of two consecutive quarters.

= $ 13,950.80 + $ 14,250.10

= $28,200.90

Step 2 : Divide the total  by 26

  = $28,200.90 / 26

  =  1,084.65

Step 3 : Find the 65%

  =   1,084.65 x 65%

  =  1,084.65 x 65/100

  =   705.0225

Hence, Rodger's weekly unemployment amount is $ 705.0225

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Answer:

$705.02

got it right

Step-by-step explanation:

Ian​'s car can go 217 miles on 7 gallons of gas. During a drive last​ weekend, Ian used 8 gallons of gas. How far did he ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.

Answers

Answer:

165 miles

Step-by-step explanation:

part 1

231/7=33mpg

33×5 =165 miles

part 2

distance/mpg= gas used

for example: if you were told he went 200 miles,

200/33= 6.06 gallons of gas

In your own words, explain the relationship between the graph of a function and the graph of function's derivative.

Answers

Answer:

The derivative of a function in a point is the slope of the graph in that point, so the graph of the function's derivative shows the slope of the function at any point. It is useful because we can say if the function is increasing or decreasing using the graph of the function's derivative. Where the derivative is positive, the graph of the function is increasing and when the derivative is negative, the graph of the function is decreasing.

For the regular octagon, please find the order of rotation and the angle
of rotation. Show all work for full credit.

Answers

A regular octagon is a closed figure with equal-length sides and equal-sized interior angles.

Measure of interior angle = 135°

Measure of exterior angle = 45°

What is meant by regular octagon?

A regular octagon is a closed figure with equal-length sides and equal-sized interior angles. It possesses rotational symmetry of order 8 and eight lines of reflective symmetry. The Schläfli sign "8" represents a regular octagon. A regular octagon's internal angle at each vertex is 135°. ( radians).

We know that for a regular polygon with n sides the measure of each of the exterior angle = 360/n

Also, the measure of each of the interior angles of the regular polygon with n sides = (n - 2) × 180 / n

We have n = 8 (octagon)

Therefore, the measure of each of the exterior angles is: 360/8 = 45

Measure of each of the interior angles is given by:

(8-2) × 180/8 = 1080/8 = 135

Measure of interior angle = 135°

Measure of exterior angle = 45°

Therefore, the correct answer is option A. 45°, 135°.

The complete question is:

What is the angle of rotation of this regular octagon? What is the measure of an interior angle? A. 45°, 135° B. 22.5°, 135° C. 45°, 108° D. 22.5°, 108°

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that passes through the points
M (5-3) and N (8,1)
What is the slope of the line

Answers

Answer:

The slope of the line is 4/3

Step-by-step explanation:

slope = rise/run = y2-y1/x2-x1

1-(-3)/8-5 = 4/3

The slope of the line is 4/3

Solve the rational equation for n

Answers

Answer:

n = 29

Step-by-step explanation:

please give brainliest

Answer: 29

Step-by-step explanation:

The answer will be 29 because if you put it all together and do the equation(-646 = 3(-646 = 3(65 - n) 3 over 2.  N will equal 29.  If you don't understand I recommend looking it up or something.

But yeahhhhhhhhhhhhhh.

I hope it helps?

At 59 F, crickets chirp at a rate of 76 times per minute, and at 65 F they chirp 100 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

The equation in slope-intercept form that represents the situation is y = 4x - 160.

Given,

At 59°F, crickets chirp at a rate of 76 times/minute

At 65°F crickets chirp at a rate of 100 times/minute

We have to write an equation in slope-intercept form:

Here,

(x₁, y₁) = (59, 76)

(x₂, y₂) = (65, 100)

Lets find the slope.

m = (y₂ - y₁) / (x₂ - x₁)

m = (100 - 76) / (65 - 59)

m = 24/6

m = 4

That is, the slope is 4.

Now, substitute this in the slope-intercept form:

y = mx + b

100 = 4 × 65 + b

100 = 260 + b

b = -260 + 100

b = -160

Therefore, the equation in slope-intercept form that represents the situation is y = 4x - 160.

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Find the 7th term in the
sequence
-4, -8,-16, . . .

Answers

Answer:  -512

Step-by-step explanation:

to answer this problem you need to understand the sequence and hen extrapolate the sequence out until you get to the seventh term (which would be your answer).

looking at -4, -8, -16

First we clearly see that each number is a negative and an even number. going beyond this we see -4 goes into -8 twice and -8 goes into -16 twice (in other words the next number in the sequence is always double the proceeding number). Also, each number is an even factor of four which can help us with double checking at the end!

    -4    --> (-4) + (-4) = -8                                                   -8    --> (-8) + (-8) = -16                                                   -16   --> (-16) + (-16) = -32                                                 -32  --> (-32) + (-32) = -64                                             -64  --> (-64) + (-64) = (-120) + (-8) = -128                 -128 --> (-128) + (-128) = (-200) + (-40) + (-16) = -256     -256 --> (-256) + (-256) = (-400)+(-100)+(-12) = -512

Can also be seen as:

4 times (-2) =  -8 4 times (-4)=  -16 4 times (-8)  =  -32 4 times (-16) =  -64 4 times (-32) =  -128 4 times (-64) =  -256 4 times (-128) =  -512

Double check by going back and reviewing you math as well as making sure each answer is even and divisible should be divisible by four!

I hope this helps!

P.S.

As this addition is rather tedious you could also times each previous answer by 2 .

example:

-64 times 2 = -128

 (previous number in sequence) times 2 = (next number in sequence)

A rectangle as shown has a length of 11 centimeters and a width of 4.2 centimeters. A circle is drawn inside that touches the rectangle at two points. Which is the closest to the total area of the shaded region?A. 9.19 cm squaredB. 101.59 cm squared C. 60.05 cm squared D. 32.35 cm squared

Answers

The area of a rectangle can be calculated with this formula:

[tex]A_r=lw[/tex]

Where "l" is the length and "w" is the width.

The area of a circle can be found with this formula:

[tex]A_c=\pi r^2[/tex]

Where "r" is the radius of the circle.

Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:

[tex]d=w[/tex]

Since the radius of a circle is half the diameter, in this case this is:

[tex]d=\frac{4.2cm}{2}=2.1\operatorname{cm}[/tex]

Therefore, the area of the circle is:

[tex]A_c=\pi(2.1\operatorname{cm})^2=13.85\operatorname{cm}^2[/tex]

Now you must find the total area of the rectangle. Knowing that:

[tex]\begin{gathered} l=11\operatorname{cm} \\ w=4.2\operatorname{cm} \end{gathered}[/tex]

You get:

[tex]A_r=(11\operatorname{cm})(4.2\operatorname{cm})=46.2\operatorname{cm}^2[/tex]

In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:

[tex]A_{sr}=46.2\operatorname{cm}-13.85\operatorname{cm}=32.35\operatorname{cm}^2[/tex]

The answer is: Option D.

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Solve the equation 0.4n+ 8 = 25 to find the number of plants Masani car use in her Is corruption something innate or is it silk with political exercise? the costs of production include: multiple choice the costs that appear on the income statements. the opportunity costs foregone by producing a given product. accounting costs. accounting costs and opportunity costs. What is the answer with a posible fraction remainder3.8/21.85 PLEASE HELP! DUE IN 3-5 MINUTES THANK YOU!! Which prediction does thispassage best support?The animals willlearn that Major has purposefullylied to them.The animals on the farm will die as a result ofhuman actions.Man and some animals will ultimately share similargoals.Most of the animals will refuse to pass on Major'steachings GARDENING Molly's school is planning a school-based community garden with the diagram shownIf the school has 64 yards of fencing for the rectangular garden, use a system of equations and a graphing calculator to find the value of Then find the dimensions of the garden. Belief in Life After Death is no longer relevant to Christians today. Evaluate this statement (12) What is the volume, in mL, of a solution that is 0.421 M K2SO3 and was prepared by dissolving 16.7 g of solid potassium sulfite in water? May someone please help me! I have to submit this tonight and do not know how to do it or the answer may you please help me thank you. How would you respond if a networking contact or potential employer said, Tell me about yourself? (Keep in mind that answers to this question should be kept to 1 minute or less.) hi the picture attached is my question on my homework show how to transform the weight function of a weighted matroid problem, where the desired optimal solution is a minimum-weight maximal independent subset, to make it a standard weighted-matroid problem. argue carefully that your transformation is correct. how do i do square root of 24 on the simplified radical form Island bank is advertising a special 1.55% APR for long -term CDs. Manny takes out a 1 year CD for $40,000. The interest is compounded daily. What will the annual percentage yield be for mannys account to the nearest hundredth of a percent . PLEASE HELP FAST!!!!! I NEED AN ANSWER ASAP!!!!!!! Read the prompt on p. 145 regarding the impact of digital technology on human intelligence. Then, read the paragraph at the bottom of p. 163 that discusses the effects of digital technology and uses Mark Bauerlein as a source. Rewrite this paragraph so that it makes more effective use of the source. p. 145- To set themselves apart, columnists for print and online publications establish a viewpoint and style. The types of sources they use and the way they use them are part of that style. Using three columns by one writer, analyze the columnist's audience by examining the type of sources he or she uses. You might consider a political commentator, a sportswriter, a movie or music reviewer, or a columnist in a local publication. p.163- Below you will find a paragraph written using Mark Bauerlein as a source. Read the paragraph, and then rewrite it so that it makes more effective use of the source. Mark Bauerlein believes that the so-called Digital Revolution could jeopardize the "cultural and civic inheritance" that has made the United States a powerful democracy. He argues that teens and young adults "have grown up with more knowledge and information readily at hand, taken more classes, built their own Web sites, enjoyed more libraries, bookstores, and museums in their towns and cities," yet they are shallow thinkers who are more concerned about themselves than their society. They have a different social life and a different mental life as a result of their use of what he calls "digital tools." "Instead of opening young American minds to the stores of civilization and science and politics, technology has contracted their horizon to themselves, to the social scene around them." He is concerned that the consequences are more serious than just a generation of spoiled brats. He thinks this rising generation is camped in the desert of ignorance and instant gratification. "They have all the advantages of modernity and democracy, but when the gifts of life lead to social joys, not intellectual labor, the minds of the young plateau at age 18." Factor 3z^2(8z^2-14z+3)