tìm số hữu tỉ
(x-5/6)^2=1/36

Answers

Answer 1

Answer:

x = [tex]\frac{2}{3}[/tex] , x = 1

Step-by-step explanation:

(x - [tex]\frac{5}{6}[/tex] )² = [tex]\frac{1}{36}[/tex] ( take square root of both sides )

x - [tex]\frac{5}{6}[/tex] = ± [tex]\sqrt{\frac{1}{36} }[/tex] = ± [tex]\frac{1}{6}[/tex] ( add [tex]\frac{5}{6}[/tex] to both sides )

x = [tex]\frac{5}{6}[/tex] ± [tex]\frac{1}{6}[/tex] , then

x = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

x = [tex]\frac{5}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{6}{6}[/tex] = 1


Related Questions

5.) The price of gas last year was $1.75 per gallon. The price went up by 5%,
what is the new price for a gallon of gas?

Answers

Answer: 1.75•5%=0.0875

1.75+0.0875=$1.84

I’m pretty sure this is correct

Answer:

5% of 1.75 is 0.085.

So 1.75 + 0.085 is 1.8375.

A circle has an area of 144pie square feet what is the diameter of the circle

Answers

Answer:

13

Step-by-step explanation:

144 = pie radio square

144 divided by pie = 45.83662361

45.83662361 square root = 6.770275003

6.770275003 multiply by 2 =  13.54055001

13.54055001 = diameter

Calcula el valor de la expresion
m + (m – 3), si m = –5

Answers

Answer: -13

Step-by-step explanation:

m = -5

-5 + (-5-3)

-5 -8

-13

Answer:

-13

Step-by-step explanation:

dado m= -5

m+(m-3) = -5+(-5-3) = -5 + (-8) = -5-8 = -13

Which triangles are similar please help lol

Answers

Answer:

triangles A and B are similar

Step-by-step explanation:

HELP
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions

Answers

You did not provide any question. I will give general advice.

Pythagorean Theorem: a² + b² = c²

If you know two sides, you know ll three sides.

A house sits in the shade.

The house is 18 feet tall. The shadow is 24 feet long. What is the hypotenuse of this triangle?

We know a and b here! a=18, b=24.

18 * 18 = 324.

24 * 24 = 576.
324+576 = 900

The square root of 900 is what will be your answer:

18*18 + 24*24 = 30*30.

I hope this helps!

i need help grades are do today sorry for the trouble

Answers

Answer:

13

Step-by-step explanation:

[tex]Sin = \frac{opp}{hyp} \\cos= \frac{adj}{hyp} \\tan = \frac{opp}{adj}[/tex]

=> get the length of the diag on bottom

[tex]tan x = \frac{3}{4} x = 36.87[/tex] degree

[tex]sin(36.87)=\frac{3}{y}[/tex]

y is about 5

=> calculate max length of stick

[tex]tan\left(x\right)\:=\frac{5}{12}, x= 22.62degree[/tex]

[tex]sin\left(22.62\right)\:=\:\frac{5}{x}[/tex]

which is 13

Help plsss i dont get it

Answers

Part A

The pattern of squares is 1, 4, 9, ... which is the set of perfect squares

1 = 1^24 = 2^29 = 3^2

and so on

The 7th figure will have 49 squares because 7^2 = 49

Answer: 49

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

Part B

Each pattern has one circle per corner (4 circles so far). In addition, there's one circle per unit side to form the perimeter.

Pattern 1 has 4+4(1) = 8 circlesPattern 2 has 4+4(2) = 12 circlesPattern 3 has 4+4(3) = 16 circles

The nth term will have 4+4n circles. The first '4' is the number of circles at the corners. The 4n is the circles along the perimeter. If you wanted, 4+4n factors to 4(1+n).

Plug in n = 20 to find the 20th figure has 4+4n = 4+4(20) = 84 circles

Answer: 84

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

Part C

Pattern 1 has 1 square + 8 circles = 9 items totalPattern 2 has 4 squares + 12 circles = 16 items totalPattern 3 has 9 squares + 16 circles = 25 items total

This seems to suggest if the pattern number is odd, then we need an odd number of tiles (square + circular).

Let n be the pattern number. Pattern n needs n^2 square tiles and 4+4n = 4n+4 circular tiles. Overall, n^2+4n+4 tiles are needed.

It turns out that if n is odd, then n^2+4n+4 is always odd. The proof is shown below.

Side note: n^2+4n+4 factors to (n+2)^2

Answer: B) will always be odd

Which table represents a linear function?

Answers

The last table because each value goes up proportionally. The equation is actually y= 5x -10.

Have a great day.

how to simplify 8x-6x

Answers

You simplify 8x-6x by:

subtracting 6x from 8x. It's quite simple to deal with small two-part numbers like these. After subtracting 6x from 8x, you will get the answer 2x.

Quick Answer:

You simply 8x-6x by subtracting 6x from 8x, and then you will get the answer 2x

HAVE A NICE DAY

i NEED HELP ASAP
A(n) sampling method is one that is representative of the population, selected at random, and large enough to provide accurate data.

Answers

A sample is one that is representative of the population, selected at random, and large enough to provide accurate data.

What is a sample?

A sample is a smaller group that is representative of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

For example, if a researcher is studying the impact of inflation on US families. It is not feasible to reach the whole of the families in the US. So, the researcher would use a representative group of US families. This is known as a sample.

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Consider the given quadratic equations. Equations function it defines. Equation A y= 3x² - 6x + 21 Equation B y=3x² - 6x + 18 Equation C y= 3(x-1)2 +18 Equation Dy=3(x-1)² +21 Complete the following statement. equation. are equivalent , and of those, equation. is in the form most useful for identifying the extreme value of the function it define​

Answers

Equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

Evaluation of the quadratic expressions

The quadratic expressions can be simplified as follows;

Equation A: y = 3x² - 6x + 21Equation C: y = 3(x - 1)² + 18

Equation C is simplified as follows;

y = 3(x - 1)² + 18

y = 3(x² - 2x + 1) + 18

y = 3x² - 6x + 3 + 18

y = 3x² - 6x + 21

Thus, equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

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After 3 hours,
Amelie has biked
15 miles
A professional
cyclist finished a
100-mile race in 4
hours
it took Emma
3 hours to bike 27
miles up to the top
of Mt. Evans
← PREVIOUS
?
?
?
3 of 12
acer
20 miles/hour
5 miles/hour
25 miles/hour
NEXT->>
ES
X
a
12:19

Answers

distance= rate times the time

Amelie 15= rate x 3 hours
Amelie’s rate was 5 miles an hour

Professional
100= 4rate
Rate was 25 miles an hour

Emma
27 = 3 rate
Rate was 9 miles an hour

What is the period of f(x) = sin (8x)?
X/8
X/4
4
8

Answers

Answer: B- x/4

Step-by-step explanation:

The period is the horizontal distance needed for the values to repeat themselves.

pls pls pls pls pls help me assap.

Answers

The quadrilaterals and their corresponding properties as shown in the given table are explained below.

How to Identify properties of Quadrilaterals?

Property 1; All sides are Congruent means all sides are equal and only Square and Rhombus have this property.

Property 2; All angles are congruent means all angles are equal. Only Rectangle and Square have this property.

Property 3; Diagonals are perpendicular to each other. Only Square and rhombus have this property.

Property 4; Diagonals are congruent. This means the diagonals are equal and only Square and Rectangle have this property.

Property 5; Exactly One pair of parallel sides is given by Only Trapezoid.

Property 6; Two pairs of opposite sides are congruent. Only Parallelogram, Rectangle, Rhombus and Square have this property.

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3x+5y = 15 find the slope of a line perpendicular to each given line

Answers

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

A job applicant estimates that his chance of passing a qualifying examination is , and his chance of being appointed if he does pass is . what is the probability that he will receive the job?

Answers

The probability that he will receive the job will be 1 / 6

The complete question is given below:-

A job applicant estimates that his chance of passing a qualifying examination is 2/3, and his chance of being appointed if he does pass is 1/4. What is the probability that he will receive the job?

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given that:

The chance of passing a qualifying examination is 2/3=P

and chance of being appointed, if he does pass, is 1/4=P'

Now, we are asked to find the probability that he will receive the job.

We are asked to find the probability that he will receive the job.

The probability is calculated as The probability that he qualify the exam×Probability that he is being appointed.

=P×P'

=(2/3)×(1/4)

=1/6

Therefore the probability that he will receive the job will be 1 / 6

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Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. include the average rate of change in your answer.

Answers

Answer:

147

Step-by-step explanation:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\ \\\frac{f(5)-f(3)}{5-3}\\ \\\frac{(3(5)^3+2)-(3(3)^3+2)}{2}\\ \\\frac{(3(125)+2)-(3(27)+2)}{2}\\ \\\frac{(375+2)-(81+2)}{2}\\ \\\frac{377-83}{2}\\ \\\frac{294}{2}\\ \\147[/tex]

Recall that if a function [tex]f[/tex] is continuous over the interval [tex][a,b][/tex], then its average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex].

What is the standard form of y=2x-2

Answers

Answer:

A standard form of a linear equation would look like this Ax+ By = C A x + B y = C

Step-by-step explanation:

Y= ax + b. is the standard form

The measure of an angle is 44.8°. What is the measure of its supplementary angle?

Answers

Answer:

Step-by-step explanation:

A certain television is advertised as a 95-inch tv (the diagonal length). if the width of the tv is 77 inches, how tall is the tv? round to the nearest tenth of an inch.

Answers

The height of the television given the length of its diagonal and its width is 55.6 inches

What the height of the tv?

The  height of the television can be determined using Pythagoras Theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√95² - 77² = 55.6 inches

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Answer: 55.6

Step-by-step explanation: 55.6 that's what I put in and got it right

40% of the students in a class are girls and the number of boys is 24 find the total number of students and the number of girls​

Answers

Answer:

Girls = 16

Total students = 40

Step-by-step explanation:

40% of the students are girls, this means 60% of the students are boys.

To find the number of girls, setup a proportion using the percentages and actual number of students in the class. I am going to make the numerator the numbers that go with the girls and the denominator will be the numbers that go with the boys.

Also let's convert the percentages to decimals by moving the decimal two places left.

40% = 0.4 and 60% = 0.6

[tex]\frac{.4}{.6} =\frac{g}{24} \\.6g=9.6\\\frac{.6g}{.6} =\frac{9.6}{.6} \\g=16[/tex]

Now let's find the total number of students by adding the number of girls to the number of boys.

16 + 24 = 40

MATHH!!! find the surface area of the prism. pleaseee answer correctly and tell me how you got your answer.

Answers

Answer:232 inch^2

Step-by-step explanation:to solve, add the surface area of each side. Remember, there are 3 pairs of sides and the pairs have equal area. Area =length x length. So we have 2x(8x2)+2x(2x10)+2x(10x8) in square inches.

Write the equation of the trigonometric graph

Answers

The equation for the trigonometric graph given above is:

y = 4sin(2x + (π/2))

y = 4 cos 2x

What is a trigonometric graph?

It is to be noted that the domain value of θ  is displayed on the horizontal x-axis and the range value is depicted on the vertical y-axis in the graphs of trigonometric functions.

What is the step-by-step solution to the question?

Note that

y = A Sin (Bx - C) + D

The vertical shift → D

Horizontal [Phase] shift → C/B

Wavelength [Period] →  (2/B) π

Amplitude → | A |

Vertical Shift → 0
Horizontal | Phase | Shift → C/B → [- (π/4)] → (-π/2/2)

Wavelength | Period | → (2/B)π → π → (2/2)π

Amplitude → 4

Hence, working the above further we get:

y = 4sin(2x + (π/2))

y = 4 cos 2x

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Answer(s):

[tex]\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = -4cos\:(2x \pm \pi) \\ y = 4cos\:2x[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{1}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{\pi}{4}, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Help me please given ABcd is a parallelogram

Answers

AC is congruent to AC (reflexive property)Triangle CDA is congruent to triangle ABC (SAS)AB is congruent to CD, BC is congruent to DA (CPCTC)

Please help me with this

Answers

Answer:

1 and 4

Step-by-step explanation:

(x²+1)(x²-4)  = x^4 -3x²-4

The green blank is 1 and the blue/purple is 4.

Hope this helped and brainliest please

An 8in x 11in photo is enlatged by 200% what are the Dimensions of the enlargement?

Answers

Answer:

16in x 22in

Step-by-step explanation:
8in = 100%
x = 200%
(200*8) / 100 = 16

11in = 100%
X = 200%
(200*11) / 200 = 22

The trick is to cross multiply (without multiplying the X) and then divide by the number that was not multiplied :)

Answer:

  16 in by 22 in

Step-by-step explanation:

Each dimension is multiplied by the scale factor when a photo is enlarged or reduced.

__

The enlarged photo will have dimensions ...

  (200% × 8 in) by (200% × 11 in) = 16 in by 22 in

_____

Additional comment

The factor 200% is equal to 200/100 = 2. (% and /100 are interchangeable)

Can you guys help me with this math questions

Answers

Answer:

2)  $40 per shirt

3)  80/9 m = 8.9 m (nearest tenth)

Step-by-step explanation:

The first question has been answered here: https://brainly.com/question/27846862

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

Question 2

Given information:

Previous sales = 300 shirts at $20 eachFor every $1 increase in price, the number of sales diminishes by 5

Let [tex]x[/tex] = number of $1 increases

Let [tex]y[/tex] = total revenue (in dollars)

From the given information:

Price change of shirt:  [tex](20 + x)[/tex]Number of sales change:  [tex](300 - 5x)[/tex]

Therefore, we can create a quadratic equation with the given information:

[tex]\implies y = (20+x)(300-5x)[/tex]

As we need to find the maximum amount of revenue, we need to find the vertex of [tex]y[/tex].  As the equation is already factored, the quickest way to do this is to the find the mid-point of the zeros (since a quadratic curve is symmetrical).

[tex]\begin{aligned}y & =0\\\implies (20+x)(300-5x) & =0\\\implies (20+x) & =0 \implies x=-20\\\implies (300-5x) & = 0 \implies x=60\end{aligned}[/tex]

[tex]\textsf{Midpoint}=\dfrac{-20+60}{2}=20[/tex]

Therefore, Sammy should have 20 $1 increases to maximize the revenue, so the new price will be:

[tex]\implies \$20 + 20 \times \$1 = \$40\: \sf per\:shirt[/tex]

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

Question 3

Given information:

Bridge is modeled as a parabolaWidth of bridge = 30 mMax height of bridge = 10 m high (in the middle)

As the bridge is modeled as a parabola, and we have been given the width and height, we can create a quadratic equation using the vertex form.

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where:

x is the horizontal distance of the bridgey is the height of the bridge(h, k) is the vertexa is some constant

Middle of the bridge = 30 m ÷ 2 = 15 m

Max height of the bridge = 10 m

Therefore, the vertex of the parabola is (15, 10)

[tex]\implies y=a(x-15)^2+10[/tex]

We know that when [tex]x = 0, y = 0[/tex].  Therefore, substitute these values into the equation and solve for a:

[tex]\implies 0=a(0-15)^2+10[/tex]

[tex]\implies 0=225a+10[/tex]

[tex]\implies 225a=-10[/tex]

[tex]\implies a=-\dfrac{10}{225}[/tex]

[tex]\implies a=-\dfrac{2}{45}[/tex]

Therefore, the equation of the parabola is:

[tex]\implies y=-\dfrac{2}{45}(x-15)^2+10 \quad \quad \textsf{for }0\leq x\leq 30[/tex]

The horizontal distance at 5 m right of the middle is:

[tex]\implies \dfrac{30}{2}+5=20\:\sf m[/tex]

Therefore, to find the height at this point, input [tex]x=20[/tex] into the equation and solve for y:

[tex]\implies -\dfrac{2}{45}(20-15)^2+10=\dfrac{80}{9}\:\sf m[/tex]

Therefore, the height of the bridge at 5 m to the right of the middle is:

[tex]\dfrac{80}{9}\:=8.9\: \sf m\:(nearest\:tenth)[/tex]

The quadratic function
d=-9x² + 40 models a
skateboarder's distance, in
feet, from the bottom of a hill
x seconds after the skateboarder
starts moving down the hill.
After how many seconds is the
skateboarder 4 ft from the
bottom of the hill?

A) 3s B) 4s C) 2s D) 3.5s

Please help!! Also if you could explain that would be great! Tysm!

Answers

Answer:

C

Step-by-step explanation:

equate d to 4 and solve for t , that is

- 9x² + 40 = 4 ( subtract 40 from both sides )

- 9x² = - 36 ( divide both sides by - 9 )

x² = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

It takes 2 seconds for the skateboarder to be 4m from bottom of hill

One number is 4 times another. Their difference is 27. How to get the other two numbers?​

Answers

Answer:

x = 36; y = 9

Step-by-step explanation:

To solve this problem you need to set up two equations. The first equation comes from the first sentence "One number is 4 times another." This equation can be written as x = 4*y where x and y are the two numbers. The second equation comes from the second sentence "Their difference is 27." This equation can be written as x-y = 27. To find the numbers you need to rearrange one equation and plug it into the other.

Step 1: write equations

x = 4*y

x-y = 27

Step 2: rearrange

Not necessary here

Step 3: substitute in

x - y = 27

4y -y = 27

3y = 27

y = 9

Step 4: solve for x

x = 4*y

x = 4*9

x = 36

[tex]x[/tex] - one number

[tex]4x[/tex] - the other number

[tex]4x-x=27\\3x=27\\x=9\\\\4x=4\cdot9=36[/tex]

These numbers are 9 and 36.

Mr. Franco's class wants to raise at least $750 for a fundraiser. Let r be the amount of money, in dollars, the class raised.help ASAP..

Answers

Answer:

>

Step-by-step explanation:

Cause 750 was the least they could raise

Answer:

>=

Step-by-step explanation:

>= because the teacher wants AT LEAST 750. at least meaning you can raise 750 or MORE

Other Questions
Read the comment by Huck from chapter 23 of The Adventures of Huckleberry Finn.I smelt sickly eggs by the barrel, and rotten cabbages, and such things; and if I know the signs of a dead cat being around, and I bet I do, there was sixty-four of them went in.What insight does this comment reveal about the character of Huck?Because of his past, Huck has a tendency to always expect the worst from people.Despite his lack of formal upbringing, Huck has good intuition when it comes to reading situations.In spite of his past, Huck tries valiantly to find some humor in every type of situation.As a result of his youth, Huck has a tendency to grossly exaggerate certain situations. Select the correct answer. Given the following formula, solve for y. w=x-y/2 -z 1. John isnt Alices _______. They arent married. a.husband b.wife c.father d.mother2.We ___________ a painting for $70.a.wereb.saidc.boughtd.heard3.A: ___________ B: Sure. Good idea.a. What does bilingual mean?b. Can I open a window? Its hot in here.c. I like your jumper.d. Excuse me! Can you help me?4. A: _________Italian food? B: Yes, I do.a. Are you likeb. Likesc. Do you liked. Youre like5. A: _______________ B: I have a headache, thats all.a. Whats the matter?b. Can I have a coffee, please?c. Thanks for everything.d. Heres a present for you. Think about Compounds in Your BodyMany functions in the body are controlled by special compounds. Which statements about these compounds do you think are true? Check all that apply. The body can make all of the compounds it needs.The body gets energy from some compounds.Some compounds determine physical characteristics. What was establish in 1865 to help former slaves register to vote What makes a short term goal easier to achieve than a long term goal Whats the passe compose of on porter Imagine you have been assigned to write an essay about different battles in the u.s. civil war. explain in 2 to 3 sentences how you could use different text structures or organizational patterns to present this information. In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:(2, 1990) (5, 4225) (9, 7205)Find the slope and y-intercept. Explain what each represents. The larger of two numbers is 15 more than the smaller number. If the sum of the two numbers is 27, find the two numbers.Larger Number:Smaller Number: Explain how to easily decide whether x - 6 is a factor of the polynomial P(x) = x ^ 7 - 5x ^ 5 + 2x ^ 4 - x ^ 2 + 9 without performing long division . Which of these statements best describes the views of those involved with the treaty of versailles? select five answers. france thought the treaty was not tough enough on germany. germany was unhappy it could not participate in the treaty negotiations. italy was pleased that its contribution to the allied effort had been rewarded. great britain feared that the treaty was too harsh on germany. the us congress was happy that a league of nations had been created. japan was unhappy that its contribution to the war effort had gone unrewarded. germany resented the fact that it had to sign the treaty or face invasion. Ii a survey asked 6,000 random college students about how they are paying for college. one thousand students surveyed responded that they have taken out student loans. which conclusion can be made about the population from this survey? o a. most college students do not use students loans. o b. half of college students are using students loans. oc. one-quarter of college students are using students loans. od. all college students are using students loans. An economist wanted to investigate the relationship between office rents (the dependent variable) and vacancy rates. Accordingly, he took a random sample of monthly office rents and the percentage of vacant office space in 30 different cities. a. Determine the regression line. b. Interpret the coefficients. 14/2+5x4?? can anyone help me?? Two boxes of apples weigh 35 lb. If one of the boxes weighs 12 lb, then find the weight of the second box. PLEASE HELP ASAP IMPORTANT TO MY GRADE!! What was a characteristic of Lincoln's plan for Reconstruction?Ten percent of a state's voters were required to pledge loyalty to the federal government before the state was allowed to form a new government.Black Codes were required to be placed in all new southern state constitutions.Southerners who took an oath of loyalty would be pardoned and have land returned to them.Voter registration requirements were revised. Section 6And be it further enacted, That when a person held to service or labor in any State or Territory of the United States, has heretofore or shall hereafter escape into another State or Territory of the United States, the [enslaver] ... may pursue and reclaim such fugitive person, either by procuring a warrant... or by seizing and arresting such fugitive [an enslaver is allowed]... to use such reasonable force and restraint as may be necessary, under the circumstances of the case, to take and remove such fugitive person back to the State or Territory whence he or she may have escaped as aforesaid. In no trial or hearing under this act shall the testimony of such alleged fugitive be admitted in evidence 1. According to section 6, what rights and privileges do enslavers have?2. What rights and privileges do formerly enslaved people have?3. What does this section of the law essentially say about former slaves who have left slavery and entered a free state? Please help!! Simplify fully: for the whole page done i reward u with 50 points i am very tired and i have many work to do so thank you guys for the help