PLEASE FOR THE LOVE OF FOOD ANSWER MY QUESTION!

Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 7x + 16, RS = 5x +28, and QR = 67 which of the following statements are correct? More than one answer may be correct.

PLEASE FOR THE LOVE OF FOOD ANSWER MY QUESTION!Given That A Quadrilateral PQRS Is A Parallelogram, PQ

Answers

Answer 1

Answer:

PQ = 58

Perimeter = 250

Opposite sides are congruent

Step-by-step explanation:

PQ = 58:

Because PQRS is a parallelogram, PQ equals RS.

1. Set up the equation and solve

7x + 16 = 5x + 28

2x = 12

x = 6

2. Plug in x into PQ

7(6) + 16 = 58

Perimeter = 250:

PQ = RS and QR = SP

1. Add the sides

58 + 58 + 67 + 67 = 250

Opposite sides are congruent:

definition of a parallelogram


Related Questions

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

108º

Step-by-step explanation:

subtract outer angle from circle

360º - 252º = 108º

I hope this helps you

find DCG

360-252=108°

angle DBG=1/2(252-108)

angle DBG=72°

Given the equation y = 2x + 3 what is the slope?
x
3
2
idk

Answers

Answer:

The slope is 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 2x + 3

Comparing this equation with the general equation above

Slope / m = 2

Hope this helps you

On a plane trip, baggage over 40 pounds is charged at the rate per pound of 1% of the one-way fare. The charge for a bag weighing 52 pounds on a trip where the one-way fare is $98 is:

Answers

Answer:

$11.76 is the charge for bag.

Step-by-step explanation:

Given:

One way fare = $98

Weight of bag = 52 pounds

Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare

To find:

Charge for bag = ?

Solution:

Pounds more than 40 pounds = Weight of baggage - 40 pounds

[tex]\Rightarrow 52-40 = 12\ pounds[/tex]

Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.

Here one way fare is $98.

So, charges on extra baggage will be:

[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]

So, the charge for the baggage is $11.76.

Offering 20 points and a thanks with 5 stars for your help please

Answers

Answer:

$70000

Step-by-step explanation:

For this problem, we need to convert the fractions into common denominators so we can get his total donated portion. From here, we can set up a proportion to fin his total income.

The greatest common denominator of 5 and 7 is 35. So

1/5 = 7/35. && 1/7 = 5/35

Add those together to get 7+5 = 12/35

So he gave away 12/35 of his income.

Now we set up a proportion to find his total.

35 / 12 = x / 24000

And now we solve for x:

x = (24000 * 35) / 12

x = 70000

So Mr. Pollard made $70000.

We can verify this by saying 24000 / 70000 to get the same reduced fraction 12/35.

Cheers.

Answer:

$70000

Step-by-step explanation:

[tex]church + medical \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{5} + \frac{1}{7} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{35} [/tex]

He gave away combined $24000 both,

So,

[tex] \frac{12}{35} =24000[/tex]

[tex] \frac{1}{35} = \frac{24000}{12} \\ \: \: \: \: \: \: \: \: = 2000[/tex]

Therefore,

[tex] \frac{35}{35} = 2000 \times 35 \\ \: \: \: \: \: \: \: \: = 70000[/tex]

Calliope solved the equation 4x+3=2x−8 using the steps shown below. She was asked to provide her reasoning by choosing the properties of equality that correctly justify her work. Help Calliope by matching her steps of work in the left column with the appropriate reason in the right column.

Answers

Answer:

4x + 3 = 2x -8

subtraction property of equality: 4x - 2x = -8 - 3

2x = -11

division property of equality: x = -11/2


[tex] \frac{ {x}^{2} + 4x + 5 }{ {x}^{2} + 3 \sqrt{x + 4} } [/tex]
Hi
is this a rational expression or not pls reply asap​

Answers

Answer:

NOT a rational expression.

Step-by-step explanation:

A rational expression is a fraction of two polynomials.

Since the denominator contains a square-root radical, it is not considered a polynomial.

Therefore the given exprssion is NOT a rational expression.

In a circle, an arc measuring 130° is what percentage of the circumference of the circle

Answers

Answer:

≈ 36.1%

Step-by-step explanation:

In any circle the following ratio is equal

[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus

percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%

an arc measuring 130° is approximately 36.11% of the circumference of the circle.

To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Let's assume the radius of the circle is r.

The circumference of the circle is C = 2πr.

To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:

Fraction of the angle = (130° / 360°) = (13/36).

Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:

Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).

Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:

Percentage = (Arc length / Circumference) * 100

Percentage = [(13/36) * (2πr)] / (2πr) * 100

Percentage = (13/36) * 100

Percentage = 36.11%

Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.

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PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1

Answers

Answer:

a

Step-by-step explanation:

Find the remainder when x^3-ax^2 +6x -a is divided by x-a

Answers

Answer:

When x^3 - ax^2 + 6x -a is divided by x-a

Remainder = 5a

help meeeeeeeeeeeeeee​

Answers

Answer:

Step-by-step explanation:

I believe the correct answer from the choices listed above would be the first option. The graph that shows a function where f(2) = 4 would be the graph that passes through point (2,4) which is shown in the first graph. Hope this answers the question.

Hey There!!

Your best choice is 1.

Because, We have to find a function where f(2)=4. It means the value of function is 4 at x=2.

In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.

In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.

In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.

In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.

Thus, correct option is 1.

Hope This Helps!!

4x3+ 13x2 + 5x- 4 is divided by x+ 1?

Answers

Answer:

The quotient to this equation is 4x² + 13x + 1

Step-by-step explanation:

When we divide exponents, we subtract the exponential numbers.

4x³ + 13x² + 5x - 4 / x + 1

Now, we divide. For this problem, we are only dividing the like terms of x because anything divided by 1 will equal to itself.

4x² + 13x + 5 - 4

Now, we combine like terms.

4x² + 13x + 1

A culture started with 2000 bacteria. after 2 hours it grew to 2400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number. P=Ae^kt

Answers

Answer: There will be 4977 bacteria present after 10 hours.

Step-by-step explanation:

The exponential function for continuous growth in t years is given by :-

[tex]P=Ae^{kt}[/tex]   (i)

, where A = initial population, k= rate of growth.

As per given, A= 2000,  

After t= 2 hours, P=2400

Put these values in  (i), we get

[tex]2400=2000e^{2k}\\\\\Rightarrow\ 1.2=e^{2k}[/tex]

Taking log on both sides

[tex]\ln 1.2=2k\\\\\Rightarrow\ k=\dfrac{\ln1.2}{2}=\dfrac{0.182321556794}{2}\\\\\Rightarrow\ k\approx0.09116[/tex]

put value of A=2000, k= 0.09116 and t= 10 , we get

[tex]P=2000e^{0.09116\times10}\\\\=2000e^{0.9116}\\\\=2000\times2.4883\\\\=4976.6\approx4977[/tex]

Hence, there will be 4977 bacteria present after 10 hours.

Answer:

Step-by-step explanation:

Ncluding a 6% sales tax, a new stereo costs $492.9. Find the cost of the stereo before tax. A) First write an equation you can use to answer this question. Use x x as your variable and express any percents in decimal form in the equation. (1)

Answers

Answer:

1.06x = 429.9

Cost of stereo before sales tax = $405.6

Step-by-step explanation:

Given the following :

Full cost of stereo(cost after sales tax) :

(cost before sales tax + sales tax)

Sales tax = 6%

Cost after sales tax = $492.9

Take the cost before sales tax as 'x'

Therefore, cost after sales tax:

x + 6% of x = $492.9

Equation to solve the problem :

x + 0.06x = 429.9

1.06x = 429.9 - - - (1)

We can then solve for x:

1.06x = 429.9

x = 429.9 / 1.06

x = $405.56603

x = $405.6

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?

Answers

Answer:

The load the large truck can carry  is 2400 pounds

Step-by-step explanation:

Let the load the large truck can carry  = X

Let the  load each of the four trucks owned by the neighbor can carry = Y

The given parameters are;

The load the large truck can carry X = 600 + Y......(1)

The number trucks owned by the neighbor = 4

The load the large truck can carry X ≤ 1/3 × 4 × Y

Therefore, X ≤ 4/3 × Y

At maximum capacity, we have;

X = 4/3 × Y

Substituting the value of X into equation (1), we have;

4/3 × Y = 600 + Y

600 = 4/3 × Y - Y = 1/3·Y

Y = 3 × 300 = 1800 pounds

Y =  = 1800 pounds

Therefore, the load the neighbors truck can carry = 1800 pounds

X = 600 + Y gives;

X = 600 + 1800 = 2400 pounds

∴ The load the large truck can carry  = 2400 pounds

Corinna has $80. She wants to buy a $256 plane ticket. She will save up her earnings from working at the museum where she earns $16 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $256?

Answers

Answer:

80+16h≥256

Step-by-step explanation:

the 80 represents the $80 that Corinna already has

the 16h represents the amount of money made at the museum, with h being the number of hours worked

the inequality symbol is a greater than or equal sign because Corinna must have at least $256 to get the plane ticket, which means you either have to have the exact amount amount or more than the exact amount needed

please help

The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.

a. (x1,y1) = (2x + x2, 2y+y2)

b. (x1,y1) = (2x - x2, 2y - y2)

c. (x1,y1) = (x + x2, y + y2)

d. (x1,y1) = (x - x2, y - y2)

Answers

Answer:

B

Step-by-step explanation:

So this was a pretty difficult question to do algebraically so I just came up with an example.

Step-by-step explanation:

Hey,there!!!

Let's simply work with it,

We have,

One point is (x2,y2) and midpoint is(x,y).

Now, let's use midpoint formulae,

[tex](x ,\: y) = \frac{x1 + x2}{2} + \frac{y1 + y2}{2} [/tex]

Now, let's equate with their corresponding elements we get,

[tex]x = \frac{x1 + x2}{2} [/tex]

now, 2x=x1+x2

or, x1=2x-x2

and

[tex]y = \frac{y1 + y2}{2} [/tex]

now,

2y = y1+y2

or, y1 = 2y-y2

Therefore, the answer is (x1,y1)= { (2x-x2),(2y-y2) }

Hope it helps...

A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building

Answers

Answer:

[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]

Step-by-step explanation:

A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)

The initial velocity ⇒ 20 m/s

The final velocity ⇒ 40 m/s

We can apply a formula to solve for the height of the building.

[tex](V_f)2 - (V_i)^2 =2gh[/tex]

[tex]V_f = \sf final \ velocity \ (m/s)[/tex]

[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]

[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]

[tex]h = \sf height \ (m)[/tex]

Plugging in the values.

Acceleration due to gravity is 9.8 m/s².

[tex](40)^2 - (20)^2 =2(9.8)h[/tex]

Solve for [tex]h[/tex].

[tex]1600 - 400 =19.6h[/tex]

[tex]1200 =19.6h[/tex]

[tex]\displaystyle h=\frac{1200}{19.6}[/tex]

[tex]h= 61.22449[/tex]

The height of the building is 61.22 meters.


17. Thirteen percent of a 12,000 acre forest is being logged. How many acres will be logged?

Answers

Answer:

1560 acres

Step-by-step explanation:

What we need to do is find 13% of 12000.

We can start by converting 13% to a fraction.

13%=13/100

Multiply.

13/100*12000

(13*12000)/100

156000/100

Divide.

1560

1560 acres are being logged.

The number of acres that will be logged is 1560 acres.

Since thirteen percent of a 12,000 acre forest is being logged, to calculate the number of acres that will be logged, we'll have to multiply 13% by 12000. This will be:

= 13% × 12000

= 0.13 × 12000

= 1560

Therefore, 1560 acres will be logged.

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4) 101
Is it rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

according to google the definition of RATIONAL is

(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion. Examples of rational numbers are 4 3 and 9

AND THE DEFINITION OF IRRATIONAL IS

(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.

so 101 is a whole number and whole numbers are always rational

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                       PEACE!

after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount ans80

Answers

Answer:

The discount was rs 80.

Step-by-step explanation:

The item started at an original undiscounted price of x.

Then a 5% discount was applied. The price is now 0.95x.

Then a 10% VAT was applied. The price is now 1.1(0.95x).

The price is now rs 1672.

1.1(0.95x) = 1672

Divide both sides by 1.1 and by 0.95.

x = 1600

The original price was rs 1600.

5% of rs 1600 = 0.05 * rs 1600 = rs 80

The discount was rs 80.

Find the value of x in each case:

Answers

Answer:

x = 36

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.

i. Determination of y

2x + y = 180 (angle on a straight line)

Rearrange

y = 180 – 2x

ii. Determination of z.

z + 4x = 180 (angle on a straight line)

Rearrange

z = 180 – 4x

iii. Determination of x

x + y + z = 180 (sum of angles in a triangle)

But:

y = 180 – 2x

z = 180 – 4x

Therefore,

x + y + z = 180

x + 180 – 2x + 180 – 4x = 180

Collect like terms

x – 2x – 4x = 180 – 180 –180

– 5x = – 180

Divide both side by – 5

x = – 180 / – 5

x = 36

Therefore, the value of x is 36.

How many equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)}?

Answers

Answer:

12

Step-by-step explanation:

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of  

points and since two equilateral triangles can be drawn having

that pair of points as vertices, there are 12 equilateral  

triangles that can be drawn having two vertices in the set  

{(0,0), (0,1), (1,0), (1,1)}.

The number of the equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.

What is an equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of points and since two equilateral triangles can be drawn having that pair of points as vertices, there are 12 equilateral triangles that can be drawn having two vertices in the set {(0,0), (0,1), (1,0), (1,1)}.

Therefore, the number of the equilateral triangles in the plane that have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.

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Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6

Answers

Answer:

38.5 miles

Step-by-step explanation:

Proportions:

4 inches ⇔ 10 miles

15.4 inches ⇔ M miles

M = 15.4*10/4

M = 38.5 miles

Answer:  38.5    

Step-by-step explanation: cuz im smart

Please answer the question in the image below ASAP

Answers

Answer:

c

Step-by-step explanation:

diameter will be 36, radius 18 and the height is 6

By SAA conjecture, determine which triangles are congruent.

Answers

Answer:

The correct option is;

[B] ΔABF ≅ ΔEDF

Step-by-step explanation:

GIven that ∠FAE is congruent to ∠FEA

Therefore, triangle ΔFAE is an isosceles triangle (Definition of isosceles triangle)

Segment FA is equal to segment FE (Equal segments of isosceles triangle)

Angle ∠EFD is congruent to angle ∠AFB (Vertically opposite angles)

Therefore, triangle ΔABF is congruent to triangle ΔEDF (Angle Angle Side AAS rule of congruency)

The correct option is ΔABF ≅ ΔEDF.

hi, please help me :)

Answers

Answer:

D. Linear

The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).

Solve for xxx. 12x+7 4012x+7 4012, x, plus, 7, is less than, minus, 11, start color #ed5fa6, start text, space, O, R, space, end text, end color #ed5fa6, 5, x, minus, 8, is greater than, 40 Choose 1 answer: Choose 1 answer: (Choice A) A x \dfrac{48}{5}x> 5 48 ​ x, is greater than, start fraction, 48, divided by, 5, end fraction (Choice B) B -\dfrac32 \dfrac32x> 2 3 ​ x, is greater than, start fraction, 3, divided by, 2, end fraction or x<\dfrac{48}{5}x< 5 48 ​ x, is less than, start fraction, 48, divided by, 5, end fraction (Choice D) D There are no solutions

Answers

Answer:

x < -3/2 and x>48/5

Step-by-step explanation:

Given  the inequality function 12x+7< -11 and 5x-8>40, we are to solve for the value of x. To solve for x, the following steps must be followed.

For the inequality 12x+7< -11

Step 1: Subtract 7 from both sides of the inequality

12x+7-7< -11-7

12x < -18

Step 2: Divide both sides of the inequality by 12

12x/12 < -18/12

x < -3/2 .............. 1

For the inequality 5x-8> 40;

Step 1: Add 8 to both sides of the inequality

5x-8+8 > 40+8

5x > 48

Step 2: Divide both sides of the inequality by 5

5x/5 > 48/5

x>48/5....... 2

Combining equation 1 and 2, we will have;

x < -3/2 and x>48/5

If x>48/5 then 48/5<x

Combining 48/5<x with x < -3/2  will give  48/5<x<-3/2

Answer:

there are no soulutions

Step-by-step explanation:

Match each statement with its corresponding value for the system below:

y = -2(3)x and y = 9x - 2

1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.

Answers

Answer:

1. 1 point

2. The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution = -16/17

Step-by-step explanation:

Given that the equation is of the form;

y = -2³×x and y = 9·x - 2, we have;

y = -8·x and y = 9·x - 2

1. Given that the two lines are straight lines, the number of points of intersection is one.

2. The x-coordinate of the solution

To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;

-8·x = 9·x - 2

-8·x - 9·x=  - 2

-17·x = -2

x = 2/17

The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution

y = 9·x - 2 = 9×2/17 - 2 = -16/17

y = -16/17

The y-coordinate of the solution = -16/17.

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

[tex]5\sqrt{2}[/tex]
[tex]\frac{5\sqrt{2} }{2}[/tex]
[tex]5\sqrt{3}[/tex]
[tex]\frac{5\sqrt{3}}{2}[/tex]

Answers

Answer:

[tex]$\frac{5\sqrt{2} }{2}$[/tex]

Step-by-step explanation:

[tex]x: \text{opposite side of the angle of 45\º}[/tex]

[tex]5: \text{hypotenuse of the right triangle}[/tex]

[tex]$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $[/tex]

[tex]$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $[/tex]

[tex]$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2} $[/tex]

You can just remember that 5 is the diagonal of a square of side length x.

[tex]$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $[/tex]

Which parent function is f(x)= |3|
A. The quadratic parent function
B.The linear parent function
C. An exponential parent function
D. The absolute value parent function

Answers

Answer:

D. Absolute value parent function

we can know fro the symbol |x| in the question written f(x)= |3|

Other Questions
In the table, describe each characteristic (tone, structure, purpose, word choice, sentence structure) of Lincolns First Inaugural Address. What is the method called on #3 A plan for a dog park has a grassy section and a sitting section as shown in the figure. Which equation can be used to find the area of the grassy section? What substance heats up the fastest: water, dry sand, wet sand, rock A survey of 500 randomly selected adults found that 57% say that they would take a ride in a fully self-driving car. The 95% confidence interval for the true proportion of all adults who would take a ride in a full self-driving car is found to be (0.5266, 0.6134). Can we conclude that the majority of all adults would take a ride in a fully self-driving car? Yes; Since the confidence interval limits are both greater than 50%, we can reasonably conclude that more than half of all adults would take a ride in a fully self-driving car. No; The data does not include all adults, so we cannot make a conclusion about the population. No; The confidence interval limits are not large enough to determine that a majority rely only on cellular phones. The proportion would need to be much greater than 50%, and the one above is only slightly larger. Yes; Since the proportion of adults who said yes is 57%, and this is higher than 50%, we can conclude that a majority would take a ride in a fully self-driving car. Select the correct answer.What was the primary purpose of Southern implementation of Black Codes?A.to authorize the use of force to implement the Thirteenth AmendmentB.to create standard alphabet and language for blacks to begin schoolingC.to ensure that blacks would remain landless and subservientD.to repeal the Emancipation Proclamation after the Civil War Beijing is located of Shanghai. Shanghai is located slightly north of the line of latitude. Which country shares a border with the northernmost part of China? What are two countries located between the 105 E and 135 E lines of longitude? Conference committees are established when: Group of answer choices Standing committees are unable to reach agreement on bills The House and Senate pass different versions of the same bill There is a major scandal or crisis that needs to be investigated The president requests Congress to conduct a special study on some problem the nation is facing A customer wishes to place an order to short 50,000 shares of ABC stock. The average daily trading volume (ADTV) in ABC stock is 40,000 shares. The representative:________.A. should place the orderb. cannot place the order because the order size exceeds the ADTV.c. should inform the client that the firm may not be able to borrow the stock.d. sholud inform the client that the order can only be executed on an up-bid. 4x 1 < 11 solve for x IQ tests are scaled so that the mean score in a largepopulation should be =100. We suspect that the very-low-birth-weight population has mean score less than100. Infants weiging less than 1500 grams at birth are classed as "very low birth weight". Low birth weight carriesmany risks. One study followed 113 male infants with very low birth weight to adulthood. At age 20, the mean IQ score for these men was (x bar=87.6.) Iq scores vary Normally with standard deviation =15. Give a 95% confidence interval for the mean IQ score at age 20 for allvery-low-birth-weight males. Use the four-step process for confidence interval. 2x-15=3(2x+3)Its multi step equations 7. Problems and Applications Q2 Indicate what happens to the unemployment rate and the labor-force participation rate in each of the following scenarios. Scenario Effect On... Unemployment Rate Labor-Force Participation Rate After a long search, Jon finds a job. Tyrion, a full-time college student, graduates and is immediately employed. After an unsuccessful job search, Arya gives up looking and retires. Daenerys quits her job to become a stay-at-home mom. Sansa has a birthday, becomes an adult, but has no interest in working. Jaime has a birthday, becomes an adult, and starts looking for a job. Cersei dies while enjoying retirement. Jorah dies working long hours at the office. If a person had not drunk any water for 8 hours before collecting a sample, would you expect his/her urine to have a high or low specific gravity? Why? electricity, isrcises1. FYIl in the blanks.(a) Most liquids that conduct electricity are solutions ofand(b)The passage of an electric current through a solution causeeffects1o Write a letter to your friend highlighting the recent changes anddevelopment activities in your district. Earth is 9.3 X 10^(7)mi from the sun. Saturn is about 8.9 X 10^(8) from the sun. About how much farther from the sun is Saturn than earth .. Which of the following has a well described setting that creates an atmosphere?A. My favorite place in the world is my grandmas house. Why? Because my grandma lives there of course. She is the sweetest woman in the world. She is always baking cookies and knitting sweaters. She is the greatest and I love her so much.B. Georges house was incredibly organized. Georges car was incredibly organized. Georges office was, you guessed it, incredibly organized. George felt that whenever anything was out of place, his life would be out of place.C. Crime in this city is on the rise. We have had five reports of arson in the past year. Some were gang related while others seemed to have been done for no reason. This town needs a defender. That defender is me.D. The white padded cell was meant to hold the insane, but to be honest it could drive someone insane. The white walls reflected the light, so it never seemed to get dark enough for sleep. The fan in the cell makes a horrible noise and if that does not get you, the constant dripping water will. It is truly a horrible place. Starting with x1 = 2, find the third approximation x3 to the root of the equation x3 2x 2 = 0. Which of the following BEST describes Information Technology (IT)?IT refers to everything that involves computers.IT deals with how to turn information into meaningful decisions.IT has to do with collecting and utilizing data.IT refers to designing, creating, and improving software.