BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY. Find the 15th term: 3, 1, -1, -3, -5... Find the 14th term: 3, 1, -1, -3, -5...

Answers

Answer 1

Answer:

-25 and -23

Step-by-step explanation:

The arithmetic sequences are the same so we will have the same formula for each of them. The first term (a₁) is 3 and the common difference (d) is -2.

Explicit formula: aₙ = a₁ + (n - 1) * d

Our formula is aₙ = 3 + (n - 1) * (-2) = -2n + 5

a₁₅ = -2 * 15 + 5 = -25

a₁₄ = -2 * 14 + 5 = -23

Answer 2

Answer: -25 and -23

Step-by-step explanation:


Related Questions

PLEASE HELP!
Line R is represented by the following equation: x + y = 2

Which equation completes the system that is satisfied by the solution (1, 1)?

2x + y = 2
4x − 2y = 2
2x − 2y = 2
x + y = 4

Answers

2x - 2y = 2

2x - 2 x 0 = 2

2x - 0 = 2

2x = 2

x = 1

2x - 2y = 2

2 x 0 - 2y = 2

y = - 1

Answer:

4x - 2y = 2

Step-by-step explanation:

Given that (1, 1 ) is a solution then it must satisfy the equation

Consider the equations given

2x + y = 2 → 2(1) + 1 = 2 + 1 = 3 ≠ 2 ← not True

4x - 2y = 2 → 4(1) - 2(1) = 4 - 2 = 2 ← True

2x - 2y = 2 → 2(1) - 2(1) = 2 - 2 = 0 ≠ 2 ← not True

x + y = 4 → 1 + 1 = 2 ≠ 4 ← not True

Thus

4x - 2y = 2 completes the system.

27 - (2 + 3) - 10 ÷ 2

Answers

Answer:

27_5_10/2

27_5_5

22_5

17

you simplify and you get 27-5-10/2
and then you divide 10 and 2
27-5-5 then you subtract and get 17

Find the volume of the cuboid which length is 10cm, breadth is 8cm and height is 7cm. Who answers first gets brainliest answer

Answers

Answer:

560cm

Step-by-step explanation:

Volume = Length × Breadth × Height

= 10 × 8 × 7

= 560 cm³

Answer:

Step-by-step explanation:

Volume =length x breadth x height

10 x 8 x 7=560cm^3

What is the shape name
please do fast.​

Answers

Answer:

[tex]\boxed{\sf Parallelogram}[/tex]

Step-by-step explanation:

A parallelogram has opposite parallel sides and it is a quadrilateral.

Answer:

This is a parallelogram

Step-by-step explanation:

This is also a quadrilateral.

Hope this helps.

Please Help!!!
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?
A: 10
B: 15
C: 100
D: 150

Answers

Answer:

The correct answer is A: 10

Step-by-step explanation:

 

We know that for Dance World the equation is y=15x and for Toe Tapper it is y=25+12.5x

Make a chart with both dance companies and compare the solutions to each equation. Like the one below.

        Dance World      /      Toe Tappers

A:10              $150        /       $150              

B:15              $225       /        $212.5

C:100            $1500      /       $1275

D:150             $2250     /       $1900

In conclusion, A:10 is the correct answer as both dance companies cost the same for 10 classes.

Sorry if this is really late, this is for the people who have the same question and need an answer too.

Answer:

A 10

Step-by-step explanation:

Set the equations equal to each other:

15x = 25 + 12.5x

Solve for x

2.5x = 25

x= 10

p(a)= .5, p(b)= .4, and p(a and b)= .15. what is p(a OR b)

Answers

Answer:

Step-by-step explanation:

Hello

p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75

hope this helps

Which statements must be true about the reflection of
AXYZ across MN? Select three options.

A. m< X’ Z’ Y’= 90°
B. m< MCY= 90°
C. XX = YY
D. BZ = BZ
E. XY || X’ Y’

Answers

Answer:

abd

Step-by-step explanation:

The true statements about the reflection shown in picture attached are :

M∠X'Z'Y' = 90°

M∠X'Z'Y' = 90°m∠MCY = 90°

M∠X'Z'Y' = 90°m∠MCY = 90°BZ' ≅ BZ

What is reflection?

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.

here, we have,

When reflection of a preimage occurs, the image produced is congruent to the preimage because reflection produces isometric images. This means that both the preimage and image are similar in shape and size.

Since m∠XZY = 90°, will be congruent with the angle m∠X'Z'Y' ; Hence, m∠X'Z'Y' = 90°

The segment MN and YY' are perpendicular, hence forming a right angle. m∠MCY = 90°

B is the midpoint between ZZ'. Hence, the distance between BZ' and BZ will be the same. BZ' ≅ BZ

From the image produced, XY and X'Y are not parallel

Learn more on reflection :

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Complete question:

Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y

Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers

Answers

Answer:

16 and 4

Step-by-step explanation:

Let (x+y) =20 and (x-y)=12 then:

Isolate for x in each equation

   x=20-y and x=12+y

Set the equations to equal each other since the value of x should be the same for both

   20-y = 12+y

Rearrange so that y is on one side and the numbers are on the other

   8 = 2y

   y= 8/2

   y= 4

Now  substitute the y- value back into either of the original equations

   x+y= 20

   x+4 = 20

Rearrange and isolate  x

   x = 20-4

   x = 16

So the two values are 16 and 4

$i^5+i^{-25}+i^{45}$[tex]$i^5+i^{-25}+i^{45}$[/tex]

Answers

[tex]i^5+i^{-25}+i^{45}[/tex]

Rewrite the term [tex]i^{-25}[/tex]

[tex]=i^5+\dfrac{1}{i^{25}}+i^{45}[/tex]

Expand each term so we have

[tex]=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}[/tex]

Use the fact that [tex]i^2=-1[/tex]

[tex]=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}[/tex]

Use the fact that [tex](-1)^{a}=1[/tex] when a is an even number

[tex]=i+\dfrac{1}{i}+i[/tex]

Simplify

[tex]=i-i+i[/tex]

[tex]=i[/tex]

Let me know if you need any clarifications, thanks!

Answer:

1/i +2i

Step-by-step explanation:

i^5+i^-25+i^45    i^2=-1

i^4*i +i^-24*i^-1 +i^44 *i

(i²)² i+ (i²)^-12*i^-1+(i²)^22 *i     since i²=1

i+i^-1+i=

i+1/i +i=1/i +2i

Please answer the question in the image below ASAP

Answers

Option A would run parallel because they have the same slope.
I would say option a because they slope is running above the x axis

Marked price of a pen is Rs 20. It is sold at a discount of 15%. Find the selling price?

Answers

Answer:

Rs 17

Step-by-step explanation:

Solution,

Marked price ( MP ) = Rs 20

Discount % = 15%

Selling price ( SP ) = ?

let's find the discount amount:

Discount amount = Discount % of MP

plug the values

= 15% of 20

Calculate

= Rs 3

Discount amount = Rs 3

Now, let's find the SP

Selling price ( SP ) = MP - discount amount

plug the values

= Rs 20 - Rs 3

Calculate the difference

= Rs 17

Hope this helps..

Best regards!!

Anyone knows this ans? I will mark them BRAINLIEST... The one who ans first and gives complete ans...thanks for helping!

Answers

Answer: a.5r-7=2r+8

We move all terms to the left:

5r-7-(2r+8)=0

We get rid of parentheses

5r-2r-8-7=0

We add all the numbers together, and all the variables

3r-15=0

We move all terms containing r to the left, all other terms to the right

3r=15

r=15/3

r=5

a) r = 5

b) t = 5/3

c) a = 1

d) x = 0

How to solve an eqution:

Equation solving is So easy you just need to follow the instructions.

i) First arrange the no. in one side and variable in one side.

ii) The sign will change if we change the no. or variable between equal =. Like + change into - and × change into ÷ .

iii) Use the BODMAS and just go ahead.

Solution:

Just Click on _______

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is

Answers

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

Please answer now correct answer fast

Answers

Answer:

[tex] Area = 112.1 m^2 [/tex]

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

[tex] \frac{w}{sin(W)} = \frac{x}{sin(X)} [/tex]

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

[tex] \frac{w}{sin(24)} = \frac{31}{sin(130)} [/tex]

Multiply both sides by sin(24) to solve for x

[tex] \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) [/tex]

[tex] w = \frac{31*sin(24)}{sin(130)} [/tex]

[tex] w = 16.5 mm [/tex] (approximated)

[tex] XY = w = 16.5 mm [/tex]

Find the area of ∆WXY

[tex] area = \frac{1}{2}*w*x*sin(Y) [/tex]

[tex] = \frac{1}{2}*16.5*31*sin(26) [/tex]

[tex] = \frac{16.5*31*sin(26)}{2} [/tex]

[tex] Area = 112.1 m^2 [/tex] (to nearest tenth).

plz help me x+y=7
x=3-y​

Answers

Answer:

no solution

Step-by-step explanation:

x+y=7

x=3-y​

Substitute the second equation into the first

(3-y) +y = 7

Combine like terms

3 = 7

This is never true so there is no solution

Answer:

[tex]\boxed{\mathrm{No \: solution}}[/tex]

Step-by-step explanation:

x + y = 7

Plug x = 3 - y

3 - y + y = 7

Combine like terms.

3 = 7

No solution.

asap help !!

How much additional interest is earned if $8000 is invested for 7 years at 6.5% when
interest is compounded annually, as compared with simple interest paid at the same
rate?

Answers

Answer:

put it in a calculator, 8,000 times whatever number u need

Write 985 in the standard form and find its
Product of divisors
,Sum of divisors.​

Answers

Answer:

Step-by-step explanation:

985 = 5 * 197 = 1 * 5 * 197

The product of the divisors is 985

The sum is 203

PLEASE HELP NOW WILL MARK BRAINLEST FOR CORRECT ANSWER A Brazilian town near the Amazon River has experienced 7% annual decrease in size of rainforest as trees are cut down and forest is converted to farmland. In the year 2009, there were about 28,000 acres of rainforest in town. a. Write an exponential model that relates the number of acres of rainforest y as a function of t years since 2009. b. How many acres of rainforest remained in 2013 (that is, in year 4)? Show work.

Answers

Answer:

a. y = 28,000×(1 - 0.07)^t

b. 20,945.46 acres

Step-by-step explanation:

a. The annual percentage decrease in in size of rainforest = 7%

The size of the rainforest in 2009 = 28,000 acres

The exponential decay formula is y = C×(1 - r)^t

Where:

y = Final Amount

C = Initial amount = 28,000 acres

r = Rate of Change = 0.07

t = Time

Which gives;

y = 28,000×(1 - 0.07)^t

b. In 2013 (year 4, t = 4), the amount of rainforest remaining is therefore;

y = 28,000×(1 - 0.07)^(4) = 28,000×0.93^4 = 20,945.46 acres

The size of the rainforest that remained in 2013 is 20,945.46 acres.

Answer:

20(-3)

Step-by-step explanation:

Examine the graph and the map.

On the left, a bar graph titled Deforestation Trend in the Amazon Rainforest. The x-axis is labeled Acres in kilometers squared of Rainforest Lost. The y-axis is labeled Year from 2004 to 2016. 2004 lost 27,772 acres. 2005 lost 19,014 acres. 2010 lost 7,000 acres. 2012 lost 4.571 acres. 2016 lost 7,989 acres. On the right, a map titled Deforestation of the Amazon Rainforest by 2016. The Amazon River is labeled. A key notes deforestation by 2016, amazon forest in 2016, and non-forest vegetation. Labeled clockwise are Roraima, Amapá, Maranhäo, Pará, Tocantins, Mato Grosso, Rondônia, Acre, and Amazonas. Acre, Amazonas, Roraima, Amapá, Maranhäo, Mato Grosso and Rondônia are deforested by 2016. Pará, Maranhäo, Tocantins, Mato Grosso, and Rondônia have the Amazon forest in 2016. Mato Grosso, Tocantins and Maranhäo have majority of non-forest vegetation.

Which is the best conclusion about the Amazon rainforest that can be drawn from these sources?

Deforestation in the Amazon has accelerated since 2004.

Deforestation in the Amazon is no longer an important issue.

Despite population growth, the Amazon rainforest is increasing in size.

Despite positive trends, the Amazon rainforest remains in danger of destruction.

Pleaseeeeeee HELP❤️❤️❤️

Answers

Answer:

1) [tex]\boxed{Option \ 3}[/tex]

2) [tex]\boxed{Option \ 2}[/tex]

Step-by-step explanation:

A) [tex]x^2-5x+6[/tex]

Using mid term break formula

[tex]x^2-6x+x-6\\x(x-6)+1(x-6)\\Taking \ (x+6) \ as \ common\\(x-6)(x+1)[/tex]

B) [tex]\frac{-20p^{-5}qr^6}{16p^{-2}q^{-3}r^4}[/tex]

Solving it using the two rules: => [tex]\frac{a^m}{a^n} = a^{m-n} \ and \ a^m * a^n = a^{m+n}[/tex]

=> [tex]\frac{-5p^{-3}q^4r^2}{4}[/tex]

We need to put p in the denominator to cancel its negative sign

=> [tex]\frac{-5q^4r^2}{4p^3}[/tex]

Answer:

C and b

Step-by-step explanation:

First question:

The polynomial expression we want to factor is x^2-5x-6

Let's calculate the discriminant to find the roots. The discrminant is b^2-4ac

● b= -5

● a = 1

● c = -6

b^2-4ac= (-5)^2-4*1*(-6) = 25+24 = 49>0

So this polynomial expression has two roots since the discriminant is positive

Let x" and x' be the roots:

● x'= (-b-7)/2a = (5-7)/2= -1

● x"= (-b+7)/2a = (5+7)/2 =6

7 is the root square of the discrminant

The factorization of this pulynomial is:

● a(x - x') (x-x")

● 1*(x-(-1)) (x-6)

● (x+1)(x-6)

So the right answer is c

■■■■■■■■■■■■■■■■■■■■■■■■

Second question:

The expression is: (-20*p^(-5)*q*r^(6))/(16*p^(-2)*q^(-3)*r^3)

To make it easier we will simplify the similar terms one by one.

● Constant terms

-20/16 = (-5*4)/(4*4) = -5/4

● terms containing p

-p^(-5)/p^(-2) = p^(-5-(-2)) = p^(-3) =1/p^3

● terms containg q

q/q^(-3)= q(1-(-3)) = q^4

● terms containg r

r^6/r^4 = r^(6-4) = r^2

Multiply all terms together:

● -5/4 *1/p^3 *q^4 *r^2

● (-5*q^4*r^2)/(4p^3)

The right answer is b

please help with this question, I am quite confused

Answers

Answer:

Step-by-step explanation:

A-domain (-∞,∞)

B- Range(0,∞)  the range is the set of values tat correspond with the domain

C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1

D-the horizontal asymptote is x-axis y=0

E- the graph is always decreasing

F-it depend on the base

A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .

Answers

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

Learn more about the circle visit:

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Pls help me I need it pls!! I only need the last question which is "Find the weight of one circle. Show or explain how you got your answer. "

Answers

Answer: 25/4=6.25

Explanation:
4w=25
w=25/4=6.25

(I am assuming that the circles and the block are equal, some of the picture got cut off.)

ruth and terry planted tulip and crocus bulbs for 6 h. ruth planted 5 crocus bulbs in the time it took terry to plant 3 bulbs. how long would it take terry alone to complete the job

Answers

Answer:

  16 hours

Step-by-step explanation:

In the time it took Ruth to plant 5 bulbs, Terry planted 3 bulbs. So, Terry did 3/8 of the work of planting 8 bulbs in that time.

We expect that Terry alone would take 8/3 of the time that it took when working together with Ruth.

  (8/3)×(6 hours) = 16 hours . . . . . . for Terry to do the job alone

I NEED HELP PRONTO PLZZZ HELP ME

Answers

Answer:

12 ÷ 4

Step-by-step explanation:

Let's try to solve the given expression to see if it matches with any of the options guven..

[tex] \frac{1}{4}*12 [/tex]

[tex] = \frac{1*12}{4} [/tex]

[tex] = \frac{12}{4} [/tex] (this is equivalent to 12 ÷ 4, which is given in the question)

Thus,

12 ÷ 4 equivalent to [tex] \frac{1}{4}*12 [/tex]

The value of a plot of land is S18 000.00.
Land tax is charged at the rate of S0.70 per
$100.00 value. What is the TOTAL amount
of tax paid for the land?​

Answers

Answer:

$126

Step-by-step explanation:

The plot of land is worth $18,000 and the tax on the land is $0.70 per $100. You would divide 18000 by 100 which is 180. Then you would multiply 180*0.70 which is $126.

Step-by-step explanation:

Here, given that;

The total value of land us $18000.00

tax per $100.00 is $0.70

now,

$100.00 taxes $0.70

$18000.00 taxes ($18000.00÷100)/$0.70 (as in question given that the tax is charged in each $100)

= $126.

is the required tax amount.

Hope it helps..


a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).​

Answers

Yes the value of n is 20

Step-by-step explanation:

I DON'T KNOW WHICH ANSWER IS CORRECT .

BUT MY ANSWER CAME THIS .

I HOPE IT WILL HELP YOU.

HAVE A NICE DAY.....

When solving the equation, we get a different number on each side of the equal sign. So, no value of x makes the equation true. That means the equation has no solution. 0 = 7 When solving the equation, we get the same number on each side of the equal sign. So, any value of x makes the equation true. That means the equation has infinitely many solutions. 0=0, 5=5 When solving the equation, we get a variable equal to a number. So, that value of x makes the equation true. That means the equation has one solution. N=4

Answers

I'm assuming you are asking if the above statements are true or false

Answer:

All true

Step-by-step explanation:

In the first statement, an equation may have different numbers on both sides of the equation after solving the equation such that we have 0=5 for instance given 1x=1x+5. This means that we cannot solve this equation and it cannot be true

In the second statement, an equation may be infinite meaning that is true for all values for the variables such that we have equal numbers on both sides of the equation 1=1, 4=4,0=0 for instance given equations like x−10+x=8+2x−18

In last statement, an equation is true if the variable equals a number meaning that the equation has one solution such as x=2 given an equation like 2x+4=8

Please help me with this question!! TRIGONOMETRY

Answers

Answer: B) 17.4

Work Shown:

sin(angle) = opposite/hypotenuse

sin(35) = 10/x

x*sin(35) = 10

x = 10/sin(35)

x = 17.434467956211 make sure your calculator is in degree mode

x = 17.4

Answer:

[tex]\boxed{17.4}[/tex]

Step-by-step explanation:

sin [tex]\theta[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (35) = [tex]\frac{10}{x}[/tex]

x = [tex]\frac{10}{sin(35)}[/tex]

x = 17.4344679562...

x ≈ 17.4

Evaluate the following: 3 to the power 2 ÷ (2 + 1). 2 3 4 5

Answers

Answer:

3

Step-by-step explanation:

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B?
6.71 miles
7.35 miles
8.66 miles
10.82 miles

Answers

Answer:

3rad5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5} [/tex]

Answer:

It's A.) 6.71 miles

Step-by-step explanation:

I just took the quiz. May I have Brainiest???

Other Questions
in the equation 3y + 10= 5y-25, what is the value of y The temperature of a sample of liquid water changes from 50C to 30C. Which statement best explains the changethat must happen at the molecular level?The molecules move more quickly and their average kinetic energy increases.The molecules move more slowly and their average kinetic energy decreases.The molecules move more quickly and their average kinetic energy decreases.The molecules move more slowly and their average kinetic energy increases. A biologist at World University used Procedure IV to conduct an additional study and found the sequence following below. Using your knowledge of central dogma generate the amino acid sequence that results from this sequence. Given DNA sequence: CAC GAC GGA TTC GTA In Sparrowtown, the use of landlines has been declining at a rate of 5% every year. If there are 20,000 landlines this year, how many will there be in 15 years? If necessary, round your answer to the nearest whole number. Please answer it now in two minutes On the first day of the fiscal year, a company issues a $8,800,000, 7%, 10-year bond that pays semiannual interest of $308,000 ($8,800,000 7% ), receiving cash of $7,655,303. Journalize the first interest payment and the amortization of the related bond discount. Round to the nearest dollar. If an amount box does not require an entry, leave it blank. When a victim is bleeding, the first thing you should do before starting first aid is Select the correct answer.Rose is performing at a poetry slam tomorrow. Which of the following techniques should she avoid so that she can deliver a good performance?.She should maintain eye contact with the audience.OB.She should pronounce the words properly.O c.She should recite the poem very fast.OD.She should take proper pauses to match the punctuation.ResetNextAll rights reserved, Write a letter to the Justice Minister, Jack Straw, informing him of the different views held by you and your friends. You should outline both sides of the debate and suggest alternative points of view where appropriate. F Mining has $6 million in sales, its ROE is 20%, and its total assets turnover is 3.2x. The company has 40% equity financed (i.e., equity multiplier is 2.5). What is its net income? (DuPont analysis) write a short story that ends with the statemant, "and finally the horror of viral attack was over" In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively? A small solid conductor with radius a is supported by insulating, nonmagnetic disks on the axis of a thin-walled tube with inner radius b. The inner andouter conductors carry equal currents i in oppositedirections.Required:a. Use Ampere's Law to find the magnetic field at any pointin the volume between the conductors.b. Write the expression for the flux dB through anarrow strip of length l parallel to the axis , of width dr, at a distancer from the axis of the cableand lying in a plane containing the axis.c. Integrate your expression from part B over the volumebetween the two conductors to find the total flux produced by acurrent i in the central conductor.d. Use equation U=(1/2)LI2 to calculate the energy stored in the magnetic field for alength l of the cable. If $a$ and $b$ are integers, such that $a\not= 0$ and $b\not= 0$ and $a^2$ and $b^2$ have at most two digits, what is the greatest possible difference between the squares of $a$ and $b?$ A parallelplate capacitor is initially charged by connecting it to a battery. The battery is then disconnected. If the distance between the plates is increased, what happens to the charge on the capacitor and the voltage across it?a. The charge remains fixed and the voltage decreases.b. The charge decreases and the voltage remains fixed.c. The charge remains fixed and the voltage increases.d. The charge decreases and the voltage increases. Using the bond energy data from your text (or the internet), determine (show calculations for) the approximate enthalpy change , H, for each of the following reactions: (a) Cl2 (g) + 3F2 (g) 2ClF3 (g) uan Perez, who is turning age 65 next month, intends to work for several more years at Smallcap, Incorporated. Smallcap has a workforce of 15 employees and offers employer-sponsored healthcare coverage. Juan is a naturalized citizen and has contributed to the Medicare system for over 20 years. Juan asks you if he will be entitled to Medicare and if he enrolls how that will impact his employer-sponsored healthcare coverage. How would you respond? Plot the image of point D under a dilation about point P with a scale factor of 1/3 Which section of the article BEST explains why some groups are more influenced by social media than others?a."Keeping Up With Instagram"b."$500 per monthc."Social Media And The Urge To Splurge"d."Difference Between Self-Image And Reality" What is the purpose of consumer-advocacy groups?