Look at the image for the problem.

Look At The Image For The Problem.

Answers

Answer 1
1/3*pi*r^2*h
That is the rule of a cone
Answer 2

Answer:

100.48

Step-by-step explanation:

3.14 x radius (squared) x height/3

3.14 x 16 x 6/3

3.14 x 16=50.24

50.24 x 6/3

50.24 x 2 = 100.48


Related Questions

2 points he Dockland Building in Hamburg, Germany is shaped like a parallelogram. If the length of the building is 86 meters and its height is 55 meters, what is the area, in square meters, of this face of the building?​

Answers

Answer:

e

Step-by-step explanation:

hii happy holidays !! any help is appreciated consider the following graph

hii happy holidays !! any help is appreciated consider the following graph

Answers

9514 1404 393

Answer:

  A, M, N, F

Step-by-step explanation:

I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.

See attached for the reflected points.

__

The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.

_____

The transformations of interest are ...

  (x, y) ⇒ (y, x) . . . . reflection over y = x

  (x, y) ⇒ (-x, y) . . . . reflection over y-axis

  (x, y) ⇒ (x, -y) . . . . reflection over x-axis

  (x, y) ⇒ (-y, -x) . . . . reflection over y = -x

hii happy holidays !! any help is appreciated consider the following graph

Solve for 2 in the diagram below.
45°
150
42°
ea
Stuck? Watch a video or use a hint.

Solve for 2 in the diagram below.4515042eaStuck? Watch a video or use a hint.

Answers

Step-by-step explanation:

Hi, there!!!

It's so simple..

Let me clear you, alright.

Here, On the fig line, OE is just a confusing line. If you look it in simple way,

AB and CD are interested at a point O.

so, angle AOD and angle COB are equal.{ because they are vertically opposite angle}

so, angle AOD= angle COB

or, 4x°=45°+15°

or, 4x°= 60°

or, x= 60°/4

Therefore, x= 15°.

Hope it helps....

Solve for 2 in the diagram below.4515042eaStuck? Watch a video or use a hint.

we would like to understand how psa level is related to the other predictors in the dataset. note that vesinv is a qualitative variable. you can treat gleason as a quantitative variable.

Answers

We can examine the relationship between PSA level and the other predictors by running a regression analysis. The regression analysis will allow us to determine the strength of the relationship and the direction of the relationship (positive or negative) between PSA level and the other predictors. For example, if we find that PSA level is positively correlated with age, then it indicates that PSA level increases with age. For the qualitative variable, vesinv, we can use dummy variables to represent the different categories. For example, if there are three categories of vesinv, we can create three dummy variables, each representing one category. After constructing the dummy variables, we can then add them to the regression model to examine the relationship between PSA level and vesinv.

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

The two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p include the following:

B. 2.3p – 10.1 = 6.49p – 4

C. 230p – 1010 = 650p – 400 – p

How to determine the required equations?

From the information provided, we have the following equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Next, we would simplify the given equation by collecting like terms as follows;

2.3p - 10.1 = 6.5p - 0.01p - 4 = 6.49p - 4

2.3p - 10.1 = 6.49p - 4

What is the multiplication property of equality?

In Mathematics, the multiplication property of equality states that both sides of an equation will remain the same and equal, when both sides of the equations are multiplied by the same number.

By multiplying both sides of the given equation by 100, we have;

100 × (2.3p - 10.1) = 100 × (6.5p - 4 - 0.01p)

230p - 1010 = 650p - 400 - p

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if two adjacent sides of rectangle having perimeter 21 cm are in the ratio 3:4 what is the area of the rectangle is ...cm ?​

Answers

Let the length and breadth be l and b respectively.
Given,
l/b=3/4
=> l = 3b/4

We have,
P = 2(l+b)
=> 21 = 2(3b/4 + b)
=> 21*2= 7b
=> b = 6cm

Similarly,
l = 4.5cm
Thus, Area = l*b
=> Area = 4.5*6
=> Area = 27cm^2

5x-3(-5y+6x) +4y i need help please

Answers

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

can some one answer this Answer please?

can some one answer this Answer please?

Answers

Answer
40
Explanation
It’s 40 because if you do 20/3 x 2/2 you will get 40/6

Which set of numbers below is in the correct order from least to greatest? −2.5<2 3 4 <−2 1 5 <2.1 −2 1 5 <2 3 4 <2.1<−2.5 −2.5<−2 1 5 <2.1<2 3 4 2.1<−2 1 5 <−2.5<2 3 4

Answers

Hold on rq I just did this today let me grab the answers rq

HALLLPPPPP!!
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8. For each of the given situations, find the AREA of the bounded region, the answer is not A, B, C, or D, I need to solve the answer for that case. (For example, C, it says the line y=6. I need you to find the area of the bounded region when the line y is 6 and intersects the 2 other lines.)

B: the y-axis.

C: the line y=6

Answers

Answer:

Step-by-step explanation:

You've omitted A and D.

Find the points of intersection.

y = 3x-6 and y = -2x+8 intersect at (2.8,2.4)

B:

The y-axis and y = 3x-6 intersect at (0,-6).

The y-axis and y = -2x+8 intersect at (0,8)

You have a triangle with base = 14 and height = 2.8

Area = 19.6 sq units

C:

y=6 and y = 3x-6 intersect at (4,6)

y=6 and y = -2x+8 intersect at (1,6)

You have a triangle with base = 3 and height = 6-2.4 = 3.6

area = 5.4 sq units

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.



a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)



b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)



c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into

Answers

The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..

How to solve

A vending machine automatically pours soft drinks into cups.

The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.

Examine figure 7.- and answer the following questions.

a) estimate the probability that the machine will overflow an 8oz cup.

Procedure:

Determine the z-score for 8

z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1

P(x>8) = P(z>1) = 0.1587..

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

b) Estimate the probability that the machine will not overflow an 8oz cup.

P(z<1) = 1 - 0.1587 = 0.8413..

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

c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..; Rounded down you get 134 cups

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Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.

Answers

The variance of Billy's grades obtained from his test scores is 15.76

What is variance?

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

The variance is therefore; 78.8/5 = 15.76

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\dfrac{y}{10}=\dfrac{2}{5} 10 y ​ = 5 2 ​

Answers

this doesn’t make sense sorry

i need everything answered

i need everything answered

Answers

Using the circles:

radius - RTdiameter - QTSchord that is not a diameter - PScentral angle - Tminor arc - QPmajor arc - QSPsemicircle - QRSA = 201.06 square inches, C = 50.27 inchesA = 314.16 square meters, C = 62.83 metersmJKP = mJKN = 90° mJLK = 63° and mPLJ + mJLP = 207°

How to calculate areas and circumference?

A circle with a radius of 8 inches has an area and circumference given by:

A = πr² = π(8²) ≈ 201.06 square inches

C = 2πr = 2π(8) ≈ 50.27 inches

Rounding to the nearest hundredth:

A ≈ 201.06 square inches

C ≈ 50.27 inches

Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.

A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:

A = πr² = π(10²) ≈ 314.16 square meters

C = 2πr = 2π(10) ≈ 62.83 meters

Rounding to the nearest hundredth:

A ≈ 314.16 square meters

C ≈ 62.83 meters

Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.

Using these relationships, find the measures of some of the angles:

a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.

b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.

c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.

d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.

e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:

mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)

63° + 90° + mPLJ + mJLP = 360°

mPLJ + mJLP = 207°

f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:

mJLR + mJLP + mKPL = 180° (by the angles in a triangle)

mJLR + mJLP + 90° = 180°

mJLR + mJLP = 90°

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Image transcribed:

Use the circle below for questions 1-7.

1. Name a radius.

2. Name a diameter.

1.

2.

3.

R

3. Name a chord that is not a diameter.

P

4. Name a central angle.

4.

S

5. Name a minor arc.

5.

6. Name a major arc.

7.

7. Name a semicircle.

For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.

8.

A =

C=

9.

A =

20 m

8 in

C=

10. If m∠MPL = 63°, find each measure.

K

a) mR= =

= m KNM d) 이이

=

b) - =

c) L

=

f) mJLR =

N

M

Gina Wilson (All Things Algebra, LLC), 201

tyler orders a meal thats 15$ if the tax rate is 6.6% how much will the sales tax be on tylers meal?

Answers

Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work

Answers

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Which of the following rational functions is graphed below?

Which of the following rational functions is graphed below?

Answers

Answer: A

Step-by-step explanation:

There are vertical asymptotes at \(x=-2, 1\), so the denominator should have factors of (x+2) and (x-1).

This eliminates everything except for A.

jose buys 8 bags of flour each bag weighs 5 pounds. how man pounds of flower did jose buy

Answers

Answer:

40 pounds

Step-by-step explanation:

For this situation, you just multiply 8 bags and 5 pounds representing total pounds for 8 bags.

8 times 5 = 40 pounds

Which graph shows the image of ∠B after a rotation of 180∘ about the origin

IS IT A B OR C

PICK THE LAST 3 BECAUSE ONE OF THEM IS THE ANSWER

Which graph shows the image of B after a rotation of 180 about the originIS IT A B OR C PICK THE LAST
Which graph shows the image of B after a rotation of 180 about the originIS IT A B OR C PICK THE LAST
Which graph shows the image of B after a rotation of 180 about the originIS IT A B OR C PICK THE LAST
Which graph shows the image of B after a rotation of 180 about the originIS IT A B OR C PICK THE LAST

Answers

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)

Explain about the angle rotation of 180°:

The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.

The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.

It is demonstrated to rotate 180 degrees around the origin.

From the question:

The coordinates of B are - B(1, -8).

Thus, the formula is (x,y)→(−x,−y)  for a 180° rotation of the origin.

B' - (-1 ,-(- 8))

B' - (-1, 8)

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)

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Which graph shows the image of B after a rotation of 180 about the originIS IT A B OR C PICK THE LAST

Answer:b

Step-by-step explanation:

please help:(((
What is the correct standard form of the equation of the parabola?
Enter your answer below. Be sure to show each step of your work.

please help:(((What is the correct standard form of the equation of the parabola?Enter your answer below.

Answers

Answer: \((x+3)^2=-4(y-3)\)

Step-by-step explanation:

From the figure, it is downward parabola of the form \(x^2=-4ay\)

The parabola has its vertex at \((-3,3)\)

Distance between parabola vertex and its directrix is 1 unit.

So, the value of a is 1

Hence, the equation of parabola is  \((x+3)^2=-4(y-3)\)

Evaluate log4 exponent 0.5

Answers

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

what is logarithm?

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Which of the following is a process that changes the composition of rocks from one material to another? Science-

Answers

Answer: crystallization, metamorphism, and erosion

Step-by-step explanation: Hope this helps!!!

Determine the area, in square centimeters, of
this quarter circle with a radius of 8 cm. Use 3.14
for π and round your answer to the nearest
hundredth.

Answers

Step-by-step explanation:

quarter circle means that you just find the are and then divide it by 4.

hence,

(3.14 × 8²) ÷ 4 = answer

the answer is 50.24 cm²

hope this helps.

Answer: 6.28

Step-by-step explanation: In order to get your answer, the equation that you need to do is 8 X 3.14 / 4 to get your answer.

What type is this angle
If u click there will be pic

What type is this angleIf u click there will be pic

Answers

Obtuse because it’s greater than a 90 degree angle

Choose which of these polynomials is a difference of squares?

x^2 -12x -36
x^2+ 12x + 36
x^2 - 36
x^2 + 36

Then factor the polynomial that is a difference of squares.

Your answer should include a polynomial from the above options and its factored form

Answers

The pοlynοmial that is a difference οf squares is: x² - 36 factοred as: (x + 6)(x - 6)

What is Pοlynοmial?

A pοlynοmial is a mathematical expressiοn that cοnsists οf οne οr mοre terms, where each term is a prοduct οf a cοefficient and οne οr mοre variables raised tο nοn-negative integer pοwers. Pοlynοmials can be used tο mοdel variοus real-wοrld phenοmena and are fundamental tο many areas οf mathematics and science.

The pοlynοmial that is a difference οf squares is: x² - 36

This pοlynοmial can be factοred as: (x + 6)(x - 6)

Tο see why this wοrks, we can write x² - 36 as (x)² - (6)², which is a difference οf squares. Then, we can use the fοrmula fοr the difference οf squares, which states that a² - b² = (a + b)(a - b), tο factοr x² - 36 as (x + 6)(x - 6).

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What is a perfect square 6^1

Answers

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.

A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and

Answers

Answer:

100/100

Step-by-step explanation:

XD


Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0

Find all values of m for which the equation has two real solutions.3x + 7x - (m + 1) = 0

Answers

This is the answer here
Find all values of m for which the equation has two real solutions.3x + 7x - (m + 1) = 0

Answer:

m > - 5 1/12

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

Set inequality and solve for m:

D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)D = 7² + 4*3*(m + 1) 7² + 4*3*(m + 1) > 049 + 12m + 12 > 012m + 61 > 012m > - 61m > - 61/12 m > - 5 1/12

The diagrams shows a quadrilateral ABCD with each of its sides extended
AB=AD
show the ABCD is a kite

The diagrams shows a quadrilateral ABCD with each of its sides extendedAB=ADshow the ABCD is a kite

Answers

Answer:

steps attached

Step-by-step explanation:

The diagrams shows a quadrilateral ABCD with each of its sides extendedAB=ADshow the ABCD is a kite

Answer:

Step-by-step explanation

Ab = 29

373+68=7

A set of data items is normally distributed with a mean of 70 and a standard deviation of 8. Convert 70 to a z-score.

z70=
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answers

When 70 to a z-score, the resulting z-score is 0

Converting 70 to a z-score.

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

Mean = 70

Standard deviation = 8

Score = 70

To convert 70 to a z-score, we make use of the following equation

z = (score - mean)/Standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (70 - 70)/8

Evaluate the expression

z = 0

Hence, converting 70 to a z-score. we get 0

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Other Questions
drags on liquidity are most likely to include: a) inventory obsolescence. b) paying vendors too soon. c) suppliers requiring payment sooner.' 8.F. 25) Function F is described by the equation y= -8x +3Function G is represented by the table below.X1-13O5Which statement about the two functions is true?A. The slope off is greater than the slope of gB. The slope of g is greater than the slope offC. Function F has a positive slope.D. Function G has a positive slope. The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximated by R(x,y)=12+108x+156y3x 27y 22xy. Find th number of each that should be sold to produce maximum revenue. Find the maximum revenue. Find the derivatives R xx,R yy, and R xy. R xx=,R yy=,R xy= Selling spas and solar heaters gives the maximum revenue of $. (Simplify your answers.) Let X1, X2,.....X80 be a random sample of size 80 taken from the population with p.d.ff(x) = 3x2, 0 < x The first animated film was created by j. Stuart blackton in _____(1)_____. The first animation with sound was created in 1928 entitled, _____(2)_____. witch of the following theroms verifies that def =xyz Please explain how to solve the linear equation to get 20 simply, please. Thank you! Please help solve this equation "m+1P4 =mP5 UPS, a delivery services company, has a beta of 1.4, and Wal-Mart has a beta of 0.9. The risk-free rate of interest is 1.3% and the expected market return is 5.8%. What is the expected return on a portfolio with 50% of its money in UPS and 50% in Wal-Mart 1. When investors received their statements, what responsibility did they have to review and understand them? What signs could they have picked up on to alert them to potential problems?2. What kind of "due diligence" did the feeder funds, such as Fairfield Greenwich, do? What didnt they do? Why were they sued by their clients?2. Starting in 2001, whistleblower Harry Markopolos alerted the SEC three times to the likelihood that Bernard Madoff was running a Ponzi scheme. Why do you think the SEC didnt act on this information until 2006?4. After the SEC cleared Bernard Madoff in its 2006 investigation, Harry Markopolos took his evidence to The Wall Street Journal, which did not publish it. What reasons can you think of as to why?5. To what extent do you think the SEC did or did not do its job?6. What was the final straw that uncovered the Madoff Ponzi scheme? Bonnie runs at an average speed 4 metres per second for 240 seconds.(b) How many metres does bonnie run? lou and mike negotiate a deal to transfer stolen body building equipment for counterfeit currency that mike will attempt to spend at now! discount mart. this contract is what's a great thematic statement for low-self esteem ? The price of a pair of Nike Panda'sincreases from $52 to $64. What is thepercent increase to the nearestpercent? Subtract.(3x - 8) - (x2 - 5x - 2) What details does Shakespeare borrow from Rosalynde in this excerpt from As You Like It? How does Shakespeare transform elements of Rosalynde in the opening of his comedy? Use evidence from the text to support your response. Your response should be one or two complete paragraphs.HELP PLEASE What are the boundaries of ancient Israel till about eight size compared with that of ancient Egypt? Compared with that of ancient Kush? 4. More on the Additional Funds Needed (AFN) equationCold Duck Manufacturing Inc. reported sales of $720,000 at the end of last year, but this year, sales are expected to grow by 9%. Cold Duck expects to maintain its current profit margin of 22% and dividend payout ratio of 10%. The following information was taken from Cold Duck's balance sheet:Total assets: $475,000Accounts payable: $75,000Notes payable: $25,000Accrued liabilities: $65,000Based on the AFN equation, the firm's AFN for the current year is_____A negatively-signed AFN value representsO a shortage of internally generated funds that must be raised outside the company to finance the company's forecasted future growth.O a surplus of internally generated funds that can be invested in physical or financial assets or paid out as additional dividends.O a point at which the funds generated within the firm equal the demands for funds to finance the firm's future expected sales requirements.pay outBecause of its excess funds, Cold Duck Manufacturing Inc. is thinking about raising its dividend payout ratio to satisfy shareholders. Cold Duck could of its earnings to shareholders without needing to raise any external capital. (Hint: What can Cold Duck increase its dividend payout ratio to before the AFN becomes positive?) Q#4. What is null set? Is null and empty sets are different? Explain! Null or Empty Set Q5. Write an equation that will give you a natural number solution. Also don't forget to explain! Natural Number Solution Q6. Determine whether one set is a subset of other set. Ex 1. A - (rain, snow), B - (snow Ex 2. C- (xlx is strawberry], D= (blueberry, cranberry, raspberry, strawberry; Introduction to Subsets Q7. True or False: A=(xx A chemistry student is describing a piece of iron on a lab table and writes "because the iron is not moving or reacting, it doesn't have any energy." explain three reasons why this statement is not true.