Help me throughout this question please!!!!!!​

Help Me Throughout This Question Please!!!!!!

Answers

Answer 1

[tex] \cos(2A)=\cos^2 A-\sin^2A=(\cos A+ \sin A)(\cos A-\sin A)[/tex]

substitute the second term in LHS to get

[tex]{ (\cos A - \sin A)^2 \over \cos(2A))}[/tex]

expand the square, [tex] \frac{1-2\sin A \cos A}{\cos 2A}= \sec2A- \tan 2A[/tex]

([tex] \sin (2\theta)=2 \sin\theta\cos\theta[/tex])

Answer 2

Answer:

Both sides can take the same identity

Step-by-step explanation:

Sec 2A - tan 2A

Express with sin and cos

1/cos (2A) - sin (2A)/cos (2A)

= 1 - sin (2A) / cos (2A)

=

1 - sin (x) = 1-sin (x) = 1 - sin^2 ( x ) / 1 + sin (x)  

=

1 - sin ^2 (x) = cos ^2 (x)  

=cos ^2 (2A) / 1+sin (2A)/Cos (2A)

simplified

cos (2A) / 1+sin 2A

identity x used = cos 2x = cos ^2 x - sin ^2 x

= 1 + sin (2x) + (cos (x)) + (sin (x))^2

= cos ^2A - sin ^2A / (cos A - sin A) ^2

= cos A - sin A / cos A +sin A

Both sides are true.


Related Questions

Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.

Answers

Answer:

a) ◇G = ◇H - T◇S wiĺl be negative.

b) It will be a spontaneous reaction.  

Explanation:

As ◇H is less than 0 and T◇S is greater than 0 so if we put it in the equation we would get the negative maximum result. And when the energies are with negative sign they are said to be spontaneous.

(5,5-)
X=all real numbers

Use exponents to create an equivalent expression for: 1) 4 ∙ 4 ∙ 4 2) x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *

Answers

Answer:

1) 4^3

2) x^6 + 2

Step-by-step explanation:

1) 4 is the main number.

Then, however many fours there are is the exponent

( there are 3 fours )

2) x is the main variable

Then however many x's there are, that number will be your exponent

( there are 6 x's )

Answer:

Step-by-step explanation:

1) 4 ∙ 4 ∙ 4 is equivalent to 4^3:  4 is the base and 3 is the final exponent of this base.

2)  x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * needs clarification.  What do you mean by "  2 * ?"

x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *  could be rewritten as x ∙ x ∙ x ∙ x ∙ x ∙ x      +      2, which is equivalent to x^6 + 2.  If you're still interested in solving this problem, please double check to ensure that you have copied it down correctly.  Thank you.

The area of a rectangular field is 6052 m².
If the width of the field is 68 m, what is its length?

Answers

Answer:

length = 89 m

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

length = 89 m

Hope this helps you

area: 6052
w: 68
l: x
l•w= area
6052/68=89
ANSWER: 89

can anyone answer this pls. will mark u as brainliest.

Answers

Answer:

6

Step-by-step explanation:

We first want to rewrite it and make the square roots into power of 1/2 as its is easier in most cases to work with.

We will first solve for a^2 because it appears twice

3+2×2^1/2

3+2.828=5.828427

Now we will solve 1/a^2

1/5.828427=.171572

.171572+5.828427

now you add them and it equals 6.

The answer to your equation is 6 !

Help please all questions.

Answers

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

A:
Club A: 10
Club B: 25
B:
month 2
C:
Club A: 10
Club B: 5

find the x value for this problem

Answers

180 - 105 = 75

180 = 75 + 25 + x
x = 180 - 75 - 25
x = 80°

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

I am getting headache In this question!! Can you solve it please!!? Please answer. Will mark brainliest!!

Answers

Answer:

Step-by-step explanation:

Find the quotient:

9/10 / 1/3

=> Take the reciprocal

=> 9/10 X 3/1

=> 27/10 = 2.7

Jennie spent 2h studying for exams.....

2 / 2/3

=> Take the reciprocal

=> 2/1  X  3/2

=> 6/2 = 3 subjects.

Calculate:

5 1/2 / 3

=> 11/2  /  3

=> Take the reciprocal\

=> 11/2  X  1/3

=> 11/6

A farmer has 9  1/2 ha  of land.......

=> 9  1/2  /  1  1/4

=> 19/2  /  5/4

=> Take the reciprocal

=> 19/2  X  4/5

=> 76/10

=> 7.6 crops.

I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.

I know the answer to the other 4 questions. They are correct.

27/10 -> 2.7 because 9/10 times the reciprocal which is 3/1 = 27/10 -> 2.7

At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.

Answers

Answer: 8 hours

Step-by-step explanation:

Let x be the time before they meet ( in hours)

Speed of Sam = 12 mph

Sped of Fred = 9 mph

Distance = Speed × time

Distance covered by Sam in x hours = 12x

Distance covered by Fred in x hours = 9x

                                               (Distance)     (rate1) (time1)          (rate2) (time2)  

Total distance between them: 168             =     12      x        +      9    x

[tex]\Rightarrow\ 168= 21x\\\\\Rightarrow\ x=\dfrac{168}{21}=8[/tex]

Hence,  the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph. = 8

The answer is 8 hourss.

Pls answer ASAP TY. TY. TY.

Answers

Answer:

x^ -10

Step-by-step explanation:

x^2 * x ^ -12

We know that a^b * a^c = a^ (b+c)

x^2 * x^-12

x^(2+-12)

x^ -10

Answer:

[tex]\frac{1}{x^{10}}[/tex]

Step-by-step explanation:

The two "x" terms are being multiplied, so combine the terms

Subtract the power signs:

[tex]x^2 * x^-12[/tex] = [tex]x^2/x^{12}[/tex]

[tex]x^(2 - 12)[/tex] = [tex]x^-10[/tex]

[tex]x^-10[/tex] = [tex]\frac{1}{x^{10}}[/tex]

[tex]\frac{1}{x^{10}}[/tex] is your answer.

~

Find the number set which satisfies each of the problems. If 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3.

Answers

Answer:

x=4      or    x= - 16

Step-by-step explanation:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4      or x=-16

It is 4 or 16 you can put either one

PLEASE HELP!!!!! I BEG OF EVERYONE. FIRST CORRECT WILL GET BRALIEST!!!!!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?

Answers

Answer:

32 miles/4 hours.

Step-by-step explanation:

32/4 hours is most definitely the answer. trusted answer

ANSWER ASAP!!!!! How many liters of a 10% salt solution must be mixed with 5 liters of a 50% salt solution to give a 20% solution?

Answers

Answer:

  15 liters

Step-by-step explanation:

Let v represent the number of liters of 10% solution to be mixed with 5 liters of a 50% solution to obtain a 20% solution. The amount of salt in the final solution is ...

  0.10x +0.50(5) = 0.20(x+5)

  1.5 = 0.10x . . . . . simplify, subtract 1+0.10x

  15 = x . . . . . . . . . multiply by 10

15 liters of 10% solution must be added.

The answer this question is 15 liters

An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
how many students in the Third grade are there​

Answers

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

Answer:

third grade secondary = 87 students

Step-by-step explanation:

:T

The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?

Answers

Answer:

❁ 25% ❁

Explanation:

❁ The answer would be 25% ❁

What is D+26/-17 = - 25

Answers

Answer:

-399/17

Step-by-step explanation:

D+26/-17=-25

D=-25-(-26/17)

D=-25+26/17

D=-425/17+26/17

D=-399/17

Answer:

The answer is D= -399/17

Need help plz, show work too

Answers

Answer:

Hope it helps this is an isosceles triangle

Answer:




Explanation :

Plzzzzz help ASAP!!!!!! Solve: x/32=15/20

Answers

Answer:

[tex]\boxed{x=24}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{32} =\frac{15}{20}[/tex]

[tex]\sf Cross \ multiply.[/tex]

[tex]20 \times x=32 \times 15[/tex]

[tex]20x=480[/tex]

[tex]\sf Divide \ both \ sides \ by \ 20.[/tex]

[tex]\displaystyle \frac{20x}{20} =\frac{480}{20}[/tex]

[tex]x=24[/tex]

Answer: x = 24

Step-by-step explanation: To solve for x in the given proportion, we use the means-extremes property.

The product of the extremes, (x)(20),

equals the product of the means, (32)(15).

So we have (x)(20) or 20x equals (32)(15) or 480.

So we have 20x = 480.

Dividing both sides by 20, x = 24.

can somewon help me i dont get this kind of math

Answers

Answer:

256 in²

Step-by-step explanation:

Answer:

256 inches squared

Step-by-step explanation:

You find the area of all of the area on the sides and then add them

Plz help I’ll mark brainliest

Answers

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

What is the solution to the inequality 3t + 9 ≥ 15 ? please answer as soon as you can!!

Answers

Answer:

T≥2

Step-by-step explanation:

3t+9≥15

3T≥15-9

3T≥6

T≥2

Answer:

t ≥ 2

t ∈ [2 ; +oo)

Step-by-step explanation:

3t + 9 ≥ 15

3t ≥ 15 - 9

3t ≥ 6

t ≥ 6 : 3

t ≥ 2

t ∈ [2 ; +oo)

What is the product of the complex numbers 8i and 5i? (1 point)
040
402
40
40i
JUST NEED SOME HELP :(

Answers

Answer:

-40

Step-by-step explanation:

8i* 5i

40 i^2

We know that i^2 = -1

40 *-1

-40

Answer:

-40

I hope this helps. i had the same question and it was right

Need help and show work plz

Answers

Answer: (A) 15 degrees

====================================================

Explanation:

With any parallelogram, the adjacent angles always add to 180 degrees.

(angle ADC) + (angle DCB) = 180

(angle ADC) + 120 = 180

angle ADC = 180 - 120

angle ADC = 60 degrees

--------

Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.

(angle 1) + (angle 2) = angle ADC

45 + (angle 2) = 60

angle 2 = 60-45

angle 2 = 15 degrees

The answer is 15 degrees

The frequency table categorizes winners of a prestigious award from.1990-2012 by their age at the time they received the award.

Answers

Answer:

is there an image of the frequency table attached? whats the question

Step-by-step explanation:

An image would be appreciated.

5. A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At
that rate, how many of the 2540 students at the local high school plan to go to college?
318 students
2032 students
2000 students
3175 students

Answers

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

2082

because

2540/10 x 8 =

A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]

Answers

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r

what expression is equivalent to this equation :
(-3x3y2)(5x5y4)2​

Answers

Answer:

The equivalent expression to this equation is -30x⁸4y⁶

Step-by-step explanation:

For this expression, we have to multiply the terms. We can do this by following the order of operations.

(-3x³y²)(5x⁵y⁴)2

First, we have to multiply -3x³y² and 5x⁵y⁴ together.

(-15x⁸2y⁶)2

Now, we  multiply these terms together.

-30x⁸4y⁶

So, the expression that is equivalent to this equation is -30x⁸4y⁶

Answer:

Step-by-step explanation:

A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pipes have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal?​

Answers

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

[tex]\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V[/tex]

Simplifying gives;

[tex]\dfrac{(2\cdot t +7) \cdot V}{16} = V[/tex]

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

hope the answer above helped bro! it helped me!

Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?

Answers

So "MATHCOUNTS" has 10 letters.

And "MATH" has 4 letters.

So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.

But it has to be in order...

There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"

So 1/32 probability of 2/5 is 2/160 or 1/80

The probability of getting the word MATH is 1/80

What is Probability ?

The study of likeliness of an event to happen is probability .

It is given that

Total letters in MATHCOUNTS : 10 letters.

Total chances of getting letter M , A , T , H  is  4

Probability of getting the letters M , A , T , H is 4/10

= 2 /5

The probability of getting the word MATH is 1

And the total number of ways the letters can be arranged is 2⁴

= 32

The probability of getting the word MATH is

= 1 /32 * 2 /5

=1/80

Therefore , The probability of getting the word MATH is 1/80

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.

With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12

12

, so this must be true:

Ali ate 4/12

4

/

12

of the cake;

Jason ate 3/12

3

/

12

of the cake

Adding these two fractions will give us 7/12

7

/

12

— the total amount eaten. Now, to find the amount left, we need only subtract 7/12

7

/

12

from 12/12

12

/

12

(the total amount of the cake). Doing so will give us

Step-by-step explanation:

There is 16 crackers.


1/3 = 4.


1/3 < 1/2


3/3 = 2/2


4 x 3 = 12.


if there were still 4 crackers AFTER eating 1/3 on wednesday, you add 12 + 4 = 16

What is the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long? Round the answer to the nearest tenth. A. 625.3 in.2 B. 940.5 in.2 C. 156.3 in.2 D. 1,875.8 in.2

Answers

Answer: B. 940.5 square inches

==============================================

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)

Apothem:

Apothem is a perpendicular line from the center of the regular polygon to one of its sides.

Area of Regular polygon with apothem:

Area = 1/2 x (length of apothem) x (perimeter of hexagon)

   • Given,  

     apothem = 16.5 inches and length of a side =19 inches

   • Perimeter = 6 x (side of a hexagon)

                       = 6 x (19)

                       = 114 inches

   • Hence,

      Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)

Know more about Regular hexagon :

https://brainly.com/question/10209400?referrer=searchResults

#SPJ2

Other Questions
On which factor mechanical advantage of simple machine depend on? Please help me and perfect answer will be brainlest answer. Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph. Here is a easy question summary the Interphase, prophase metaphase, anaphase and telophase step by step for each of the phase Anyone help me.... BTW I need proper working. Verify the identity. cot x / 1 + csc x = csc x - 1 / cot x Calculate the product below and give your answer in scientific notation. \large{\left(5.2\times 10^{-2} \right) \times \left(8.0\times 10^{-4} \right) =\ ?}(5.210 2 )(8.010 4 )= ?Left parenthesis, 5, point, 2, times, 10, start superscript, minus, 2, end superscript, right parenthesis, times, left parenthesis, 8, point, 0, times, 10, start superscript, minus, 4, end superscript, right parenthesis, equals, space, question mark Which inequality is shown on the number line below? ( the answers are in one image and the number line is shown in the other image) Please include ALL work! The dimmer star in a two-star system passes in front of the brighter star. Which phenomenon does this describe? Harry forms the Nectarine Corporation during the 2019 tax year. To form the corporation, Harry transfers assets having a fair market value of $650,000 to Nectarine Corporation for 100 percent of the corporation's stock. Harry's adjusted basis in the assets transferred was $350,000 and Nectarine Corporation assume a $200,000 mortgage on the assets. If the fair market value of the stock received by Harry is $450,000, what is his basis in the stock received from the corporation True or false? induction is a kind of thinking you use to form general ideas and rules based on mathematical formuals The two-step flow supports the notion that consumption styles are primarily influenced by a "trickle-down" or "trickle-up" effect from mass media. Group of answer choices Which passage most strongly supports the inferences you've made about Jupiter?O A) Now Pandora had brought with her as a gift from Jupiter a golden casket."B) But before punishing Prometheus he decided to vex the children of men."C) Indeed, they were very poor and wretched and cold, without fire, withoutfood, and with no shelter but miserable caves."D) "He climbed the rugged peak, slew the fierce eagle, and with mighty blowsbroke the chains that bound the friend of man." Once the second world war was over, fashion magazines ceased featuring the work of American designers and returned to focus only on the work of Parisian designers. Group of answer choices How can you identify Bangladesh in a unique way in the world map ? Write a letter to the sheriff to convince him that you have solved the crime of the stolen gardening tools. Explain who you believe took the gardening tools. paragraph 1 requirement Identify the MOST reliable piece of information you used to solve the mystery and justify your answer. You should include the following: what the source told you about the crimewhy you think this evidence is the MOST reliablethe type of source (Hint: Was it a newspaper, diary, photograph, etc.?)the purpose of the source (Hint: Why was it created?)whether this source is primary or secondary (Hint: Was it created at the time of the event or after the fact?) paragraph 2 requirement Identify the LEAST reliable piece of information you used to solve the mystery and justify your answer. You should include the following: what the source told you about the crimewhy you think this evidence is the LEAST reliablethe type of source (Hint: Was it a newspaper, diary, photograph, etc.?)the purpose of the source (Hint: Why was it created?)whether this source is primary or secondary (Hint: Was it created at the time of the event or after the fact?) Case Summary On February 28, 1755, someone stole gardening tools from Will Anthonys blacksmith shop.Word around town is that the prime suspects for this crime were James Ansley and Matthew Farmer. Mr. Ansley was another blacksmith in town who threatened to burn down Will Anthonys shop to force him out of business. Matthew Farmer was Will Anthonys apprentice at the blacksmith shop. You arrive on the scene.You have found a history textbook from the 21st century! Colonial Life: Many colonists depended on agriculture for their livelihood and survival. During the drought of 1755, many colonists had little money for extra expenses. Farming tools were valuable and often stolen because many people in the community could not afford the extra expense of purchasing these tools from a blacksmith. Having these tools allowed colonists to cultivate their crops and feed their families.You have found the blacksmiths sales journal. (Author:The blacksmiths apprentice, Matthew, records all of the stores sales transactions in this journal)Entries are dated March 1st, 1755 and were made by Matthew FarmerFebruary 14Benjamin Millerpistol3 February 20Michael Farmergrubbing h(0)e2 shillingsFebruary 26Adam Reedsaddle2 I have found the blacksmiths diary. There are three entries less than a month apart.I need to figure out if this is a primary or secondary source!Did he expect anyone else to read this? Is this reliable evidence? February 10, 1755I am concerned about my apprentice, Matthew Farmer, and his family. Matthew confided in me that his father, Michael, was injured. His family is having a hard time tending to their crops and earning money. March 1, 1755I discovered that the gardening tools that I made in my shop have been stolen! They were missing at sunrise, when I went to my shop, so the thief must have stolen them last night. March 6, 1755I think I may need more sleep, as my memory seems to be failing me. I do not remember making a grubbing h(0)e two weeks ago, but in looking back at my sales journal, it appears that I sold one.You have found the courts transcript of an interview with Matthew Farmer. Interviewer:Did you steal the gardening equipment from your employer? You were the blacksmiths apprentice and had access to the shop.Matthew Farmer:I would never (umm) steal from him. Mr. Anthony has been so kind to help me learn his trade. I am very grateful to him. In addition, I left the shop early on the day of the crime. (looks away) Besides, (hesitant laugh) why would I need to steal farming equipment when my father, Michael Farmer, purchased a grubbing h(0)e week before the crime? Besides, Mr. Ansley, the other blacksmith in town, would love nothing more than to steal from Mr. Anthony. He wants to put our shop out of business. I (umm) saw him right outside of the shop the night the tools were stolen! Interviewer:I thought you said you left the shop early that night. I have found an alleged photograph of the crime.Did they even have cameras back then?The back of the photo says: Title: Mr. James Ansley Stealing Tools From Will Anthonys Shop, Artist: Elizabeth Burr, Date: 2010.. The linear correlation coefficient of a set of data points is -0.9. a. Is the slope of the regression line positive or negative? b. Determine the coefficient of determination. What best describes why there was no need for immigrants to live in the South A piece of equipment (Asset class 15.0) was purchased by the Jones Construction Company. The cost basis was $300,000. Determine the ADS and GDS depreciation deduction for this property each year An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm^2, separated by a distance of 1.70 mm. A 25.0-V potential difference is applied to these plates. Calculate: a. the electric field between the plates b. the surface charge density c. the capacitance d. the charge on each plate. What did the term Grantism refer to?O A. A commitment to civil rights and equality during ReconstructionO B. A system of military strategies developed by GrantO C. Political corruption during Grant's term as presidentD. The economic changes that occurred after the Civil WarSOMIT