Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer. You must support your answer using length or slope. A(3, 5), B(7, 6), C(6, 2), D(2, 1)

Answers

Answer 1

In the imaged attached, the most precise name for ABCD  is known to be rhombus.

What is the shape about?

Looking at the shape attached, one can see that the diagonals of a parallelogram are said to be bisecting one other and if it cross at right angles, it is said to be a rhombus.

Using the Diagonal midpoints of AC and BD, the equation will be:

(A+C)/2

(B+D)/2

To find if the midpoints are similar, then:

A +C = (3, 5) +(6, 2) = (9, 7)

B +D = (7, 6) +(2, 1) = (9, 7)

Therefore, from the solution above, the midpoints of the diagonals are the same, making the shape to be a parallelogram.

In terms of Diagonal vectors, the shape will be perpendicular when the figure is a rhombus. So:

 AC = C -A = (6, 2) -(3, 5) = (3, -3)

BD = D -B = (2, 1) -(7, 6) = (-5, -5)

So the lengths will be (3√2 vs 5√2).

Note also that the dot-product of these values need to be zero if they are perpendicular and as such:

 AC·BD = x1·x2 +y1·y2 = (3)(-5) +(-3)(-5) = -15 +15 = 0

Therefore, one can say that the diagonals are known to different length and are perpendicular bisectors, so the shape above is regarded as rhombus.

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Determine The Most Precise Name For ABCD (parallelogram, Rhombus, Rectangle, Or Square). Explain How

Related Questions

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square?

Shape ABCD is shown. Point A is at negative 3, 5. Point B is at 1, 7. Point C is at 3, 3. Point D is at negative 1, 1.

Answers

Options are not shown but…
A square has 4 equal length sides and a right angle

Or two equal length diagonals which are perpendicular

Or 4 right angled corners and two adjacent sides equal

Or perpendicular diagonals with the same midpoint

Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED

Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

D

Step-by-step explanation:

definitely

Which expression is equivalent to

( 4^(1/3) × 4^(2/6) ) ^(3/4)
( ---------÷------------ )
( 4^(5/6) )

*All the numbers in the division problem are in parenthesis with the ^(3/4) on the outside.*

A: (1/4)^(3/66)
B: (1/4)^(-3/66)
C:(1/4)^(-1/11)
D: (1/4)^(1/11)

Answers

The simplified form of the expression is [tex]4^{-1/3}[/tex]

Indices and exponents

Given the indices expression as shown;
[tex]\frac{(4^{1/3}\times 4^{2/6} )^{3/4}}{4^{5/6}}[/tex]

Applying the product and quotient law of indices

[tex]\frac{(4^{1/3+1/3})^{3/4}}{4^{5/6}}\\\frac{(4^{2/3})^{3/4}}{4^{5/6}}\\\frac{4^{1/2}}{4^{5/6}}\\[/tex]

Take the difference in the power to have:

4^(1/2 - 5/6)

4^(-2/6)

[tex]4^{-1/3}[/tex]

Hence the simplified form of the expression is [tex]4^{-1/3}[/tex]

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find the range of the given function y= 8x +1, where x>2

Answers

Answer:

infinite or if where using whole numbers

y≥25

Hope This Helps!!!

Find the range for the given domain: {-2, 0, and 1}and the function is y = 3x + 1.

Answers

Answer:

It's the first option: -5, 1 and 4

What is the value of x?

(See attached image for details.)

Enter your answer in the box.

x =

Answers

Answer:

x = 8°

y = 6°

Step-by-step explanation:

Hello!

All 3 sides of the triangle are equal, indicating that it is an equilateral triangle. The rules of this particular triangle say that all angles are equal to 60°.

We can solve for x by setting the equation 7x+4 to 60.

Solve for x7x + 4° = 60°7x° = 56°x = 8°

The value of x is 8°.

We can go ahead and solve for y by setting that equation to 60°.

Solve for y8y + 12° = 60°8y = 48°y = 6°

The value of y is 6°.

I need this due by tonight what is 45+x=75

Answers

Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: [tex]\textsf{45 + x = 75}[/tex]

Need:  [tex]\textsf{The value of the unknown x}[/tex]

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

[tex]\textsf{45 - 45 + x = 75 - 45}[/tex][tex]\textsf{x = 75 - 45}[/tex][tex]\textsf{x = 30}[/tex]

After simplifying the expression we were able to determine that x is equal to 30.

A school show had ticket sales of $1345 the first night and $935 the second night. 180 student tickets were sold and 110 adult tickets were sold on the first night. 100 student tickets were sold and 90 adult tickets were sold. find the price of a student ticket

Answers

Using a system of equations, it is found that the price of a student ticket is of $3.49.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Variable x: Price of a student ticket.Variable y: Price of an adult ticket.

Considering the revenues and the number of tickets sold, the equations are given as follows:

180x + 110y = 1345.100x + 90y = 935.

From the second equation:

90y = 935 - 100x

y = (935 - 100x)/90

y = 10.39 - 1.11x

Replacing in the first equation:

180x + 110y = 1345.

180x + 110(10.39 - 1.11x) = 1345

57.9x = 202.1.

x = 202.1/57.9

x = 3.49.

The price of a student ticket is of $3.49.

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Help question is in the pic

Answers

Answer: D) -304

Step-by-Step Solution:

=> f(x) = 5x - 1
=> g(x) = 2x^2 + 1
=> Find value of (f * g)(-3)

First Substitute x as -3 in f(x) and g(x) :-

f(x) = 5x - 1
f(-3) = 5(-3) - 1
f(-3) = -15 - 1
=> f(-3) = -16

g(x) = 2x^2 + 1
g(-3) = 2(-3^2) + 1
g(-3) = 2(9) + 1
g(-3) = 18 + 1
=> g(-3) = 19

Now Multiply f(-3) with g(-3) :-

= f(-3) * g(-3)
= -16 * 19
=> -304

Therefore, (f * g)(-3) = -304


Consider the following graph.

Which statement best describes Cheryl's commute?

A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes

Answers

Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.Option C is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Cheryl traveled at a steady pace for 5.5 minutes, then 45 mph for 2.5 minutes after traveling at 65 mph for a minute.

Statement C best describes Cheryl's commute.

Hence option C is correct.

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Joe kept track of how much TV she watched each day for two weeks how many hours did she spend watching TV

Answers

The total hours joe spent watching TV each day for two weeks is 12 1/2 hours

Total hours spent watching TV

Total hours spent watching TV for two weeks = Number of hours × days

= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)

= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2

= 8 + (1+2+9+6) / 4

= 8 + 18/4

= 8 + 4 2/4

= 8 + 4 1/2

= 12 1/2 hours

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Find the volume of this sphere.
Use 3 for pie.
V≈ [?]cm³
V = πr³
10 cm

Answers

Answer:

V ≈ 500 cm³

Step-by-step explanation:

Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)

π (pi) ≈ 3r (radius) = diameter/2 ⇒ 10/2 = 5 cm

Substitute the given values into the formula:

⇒ V = ⁴⁄₃πr³

⇒ V ≈ (⁴⁄₃)(3)(5)³

⇒ V ≈ (⁴⁄₃)(3)(125)

⇒ V ≈ (⁴⁄₃)(375)

V ≈ 500 cm³

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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]

Find:  [tex]\textsf{Determine the volume}[/tex]

Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.

Determine the radius

[tex]\textsf{Radius = Diameter / 2}[/tex][tex]\textsf{Radius = 10 cm / 2}[/tex][tex]\textsf{Radius = 5 cm}[/tex]

Plug in the values

[tex]\textsf{Volume = 4/3 } * \pi*r^3[/tex][tex]\textsf{Volume = 4/3 } * 3 * (5\ cm)^3[/tex]

Simplify the expression

[tex]\textsf{Volume = (4 * 3)/3} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * 125\ cm^3[/tex][tex]\textsf{Volume = } 500\ cm^3[/tex]

After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.

a. What type of triangle is Triangle ABC?
b. Give reasons for your answer

Answers

Since two of the angles are equal, hence the triangle ABC is isosceles triangle

What is a triangle?

A triangle is a  2D shape that has 3 sides and angles

From the given triangle

<CAB = 50 (alternate angle) and;

<ACB = 180 - (50 + 80)

<ACB = 180 -130

<ACB = 50 degrees

Since two of the angles are equal, hence the triangle ABC is isosceles triangle

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What is the value of x in the following equation?
11-2x+6x+5=32

Answers

Answer:

The value of x is 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

11−2x+6x+5=32

11+−2x+6x+5=32

(−2x+6x)+(11+5)=32

4x+16=32

4x+16=32

Step 2: Subtract 16 from both sides.

4x+16−16=32−16

4x=16

Step 3: Divide both sides by 4.

((4x)/4) = (16/4)

x = 4

Answer:

11-2x+6x=32-5

-2x+6x=27-11

-2x+6x=16

4x÷4=16÷4

x=4

Another one. Which term best describes the slope of the line below?

Answers

it would be undefined, when it’s going on the y axes it’s undefined. when it’s going on the x axes it’s a zero slope

Solve the equation 2x + 10 = 30.

Answers

Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

3. Divide both sides by the same factor

4. Simplify

ask any question if u don’t understand 33737373

culture started with 2,000 bacteria. After 3
ours, it grew to 2,600 bacteria. Predict how
any bacteria will be present after 9 hours.
ound your answer to the nearest whole
umber.
P = Aekt

Answers

Step-by-step explanation:

2600 = 2000•e^3k

e^3k = 2600/2000

e^3k = 13/10

3k = ln(13/10)

k ≈ 0.087

P = 2000•e^0.087•9

P = 4376

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2

Answers

The correct answer is option B which is y > 3x + 2.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given statement says that On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2)

The plot of the inequality is given in the graph attached with the answer the inequality will be y > 3x +2 which passes through the points (-3,-7 ) and ( 0, 2 ).

Therefore the correct answer is option B which is y > 3x + 2.

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Here are three studies:

a: june asks eight of her friends if they plan on buying a school lunch that day.

b: sam selects a random sample of coins from his coin bank to see how many of them are older than 1982.

c: peyton randomly selects six eggs from a carton. she randomly assigns three of them to be boiled for 10 minutes and the other three are boiled for 15 minutes. after they have cooled she compares how easy they are to peel.

for which of these studies can we draw conclusions of cause and effect?

a
b
c
none of them

Answers

Answer:

The answer is C

Step-by-step explanation:

Just got it.

The area of a rectangle is 20 square meters. The length of the rectangle is (x-3) meters and the
width of the rectangle is (x - 2) meters. Find the length and the width of the rectangle.



With steps and explanation please.

Answers

Answer:

length = 4 cm

Width = 5 cm

Step-by-step explanation:

Area of rectangle:

      Area of rectangle = length * width

length = (x - 3) meters

Width = (x - 2) meter

Area = 20 square meters

  (x - 3)*(x - 2) = 20

Use FOIL method.

   x*x + (x)(-2) + (-3)*x + (-3)*(-2) = 20

                         x² -2x  - 3x + 6 =20

         Combine like terms

                        x² - 5x + 6  = 20

Now subtract 20 from both side

                     x² - 5x + 6 - 20 = 0

                           x² - 5x - 14  = 0

Factorize the equation and find the roots

         Sum = -5

   Product = -14

    Factors =  (-7) , 2

When we add (-7) + 2 = -5 and when we multiply (-7)*2 = -14

x² + 2x - 7x - 14 = 0

 x(x + 2) -7(x + 2) = 0

 (x + 2)(x - 7)  = 0

  x - 7 = 0    {Ignore (x + 2 = 0) as measurements wont't be in negative}

x = 7

length = x - 3

          = 7 - 3

   [tex]\sf \boxed{\bf length = 4 \ cm}[/tex]

width = x - 2

         = 7 - 2

    [tex]\sf \boxed{\bf width = 5 \ cm }[/tex]

The triangle inequality theorem states the sum of the lengths of any two sides of a triangle is _____ the length of the third side.

Answers

Answer:

see explanation

Step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

if the sides are a, b, c , then the following must be true

a + b > c

a + c < b

b + c > a

for the 3 sides to form a triangle

Solve for [x]. The polygons in each
2x-20
16
16
8

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 16 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

If two polygons are similar, their corresponding sides ratios will be equal to each other.

[tex]\qquad \tt \rightarrow \: \cfrac{8}{16} = \cfrac{2x - 20}{24} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} = \cfrac{2x - 20}{24} [/tex]

[tex]\qquad \tt \rightarrow \: 2x - 20 = \cfrac{24}{2} [/tex]

[tex]\qquad \tt \rightarrow \: 2x = 12 + 20[/tex]

[tex]\qquad \tt \rightarrow \: 2x = 32[/tex]

[tex]\qquad \tt \rightarrow \: x = 16[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

x=y²-1
2x - y = 4
Which of the following equations could be the result of using substitution to solve the system?
2y²-y-5=0
2y2-y-6=0
2y2-2y-5=0

Answers

Answer:

B) 2y² - y - 6 = 0

Given following:

x = y² - 1 ___equation 12x - y = 4 ___equation 2

Insert equation 1 into 2:

2(y² - 1) - y = 42y² - 2 - y = 42y² - y - 2 - 4 = 02y² - y - 6 = 0
x=y²-1

Put in second

2x-y=42(y²-1)-y=42y²-2-y=42y²-y-6=0

The height in feet, h, of a model rocket t seconds after launch is given by the equation h (t) = 3 + 70 t minus 16 t squared. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
The rocket is at a greater height when t = 3 than it is when t = 1.
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

Answers

The average rate of change in h(t) is 6.

What is Average Rate of change?

It is a measure of how much the function changed per unit, on average, over that interval.

h(t) = 3 + 70t - 16t²

Average rate of change

At t = 1 second

h(1) = 3 + 70(1) - 16(1)^2

h(1) = 57

At t = 3 second

h(3) = 3 + 70(3) - 16(3)^2

h(3) = 69

Average rate of change = Δh / Δt

=[h(3) - h(1)] / (3 - 1)

= (69 - 57) / 2

= 12 / 2

= 6.

Hence, the rate of change is 6.

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Clem's credit score is 733, while ingrid's credit score is 688. according to the
following table for a $150,000 mortgage, how much more would ingrid have
to pay per month than clem?
fico
interest monthly
score
rate
payment
720-850
5.59% $860
700-719
5.71% $872
675-699
6.25% $924
620-674
7.40% $1039
560-619
8.53% $1157
500-559
9.29% $1238

Answers

Ingrid would have to pay 64 per month more than clem.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

fico        interest monthly      score rate

720-850          5.59%             $860

700-719           5.71%              $872

675-699          6.25%             $924

620-674          7.40%              $1039

560-619           8.53%              $1157

500-559          9.29%               $1238

Clem's score is 733 which is 924 on the chart.

Ingrid's score is 688 which allows her to pay 860 per month.

924 - 860 =  64

Hence,

Ingrid would have to pay 64 per month more than clem.

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The length of a rectangle is 3 yd longer than its width. if the perimeter of the rectangle is 58 yd, find its length and width.

Answers

Answer:

Length = 16 yds

Width = 13 yds

Step-by-step explanation:

P = 2w + 2l

l = w + 3

58 = (2w + 2(w + 3))

58 = 4w + 6

52 = 4w

w = 13

L = w + 3

= 13 + 3

= 16

The length and width of the rectangle are 16,13yd.

The Length and Width of the rectangle can be found as:

Given:

The length of the rectangle is 3yds longer than the width which means length = w+3

and the perimeter is given by 58yd

Let W be the width and L be the length

We know that the perimeter of a rectangle is 2(L+w)

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle

By simplifying we get

2(w+w+3)=58

2(2w+3)=58

2w=29-3

w=13

then the length of the rectangle will be w+3

                                                              13+3 = 16

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Please help!!!! ASAP!!!!!!!!!!

Answers

Answer:

   [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Step-by-step explanation:

Transform - y-25^2=-100

divide

simplify

x plus-minus [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Vincent and Aidan buy the same number of pens. Vincent buys packs of 6 pens, and Aidan buys boxes of 20 pens. What is the least number of pens each boy can have brought?

Answers

The least number of pens each boy can have brought is 60

How to determine the least number of pen?

We have:

Vincent = 6 packs

Aidan = 20 boxes

Factorize 6 and 20

6 = 1 * 2 * 3

20 = 1 * 2 * 2 * 5

Multiply all factors

LCM = 1 * 2 * 2 * 3 * 5

Evaluate the product

LCM = 60

Hence, the least number of pens each boy can have brought is 60

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Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"

Answers

Answer: 5p - 4

5 times ‘p’ = 5p
4 less than ‘p’ = p - 4

Therefore,
=> 5p - 4

11 potters can make 143 pots in 8 days. How many potters will be required to make 169 pots in 4 days?​

Answers

26 potters will be required to make 169 pots in 4 days.

Given: 11 potters can make 143 pots in 8 days.

Step 1:

1 potter makes  143 pots in 8 × 11 days.

1 potter can make 1 pot in

(8 × 11)/143 days.

Step 2:

Let the number of potters required be x, then

x potters can make 1 pot in (8 × 11)/( 143 × x) days

x potters can make 169 pots in (8 × 11 × 169)/(143 × x ) days

Step 3:

The number of days given is 4. Hence equating the above equation to 4.

(8 × 11 × 169)/(143 × x ) = 4

Step 4:

Solve for x

14872/(143x) = 4

572x = 14872

x = 14872/572

x = 26

Thus, 26 potters will be required to make 169 pots in 4 days.

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Rachel Carson warned of the danger of increased use of pesticides. true false write a letter to your friend in another school describing your teacher in your school in consider funny TIME REMAINING59:41Read the sample student claim and the reasons listed for making this claim.Claim: Although many people argue that medical testing on animals is a violation of animal rights, the benefits it yields for society far outweigh any argument that can be made.Reason #1: Animal research has yielded both pain-relieving and life-saving drugs for humans.Reason #2: Laws prohibit scientists from using animal-based research in cases where non-animal testing would produce equally clear and valid results.Which piece of evidence would best support reason #1?The history of using animals for research extends as far back as 322 BCE, when early Greek physician-scientists, such as Aristotle and Erasistratus, performed various experiments on living animals.Animal research played an essential role in the development of Herceptin and Tamoxifen, two medications that have already saved the lives of thousands of women who have been diagnosed with breast cancer.Even those who believe in testing on animals when it is necessary for vital medical research practice what is known as the 3 Rsreduction, refinement, and replacementto reduce the number of animals used for testing.Biologists believe that chimpanzees share at least 98.4 percent of the same DNA as humans and gorillas share at least 97 percent, making primates a popular and likely choice for the testing of products intended for humans. true or false? the leukocytes of the innate immune system are b cells, macrophages, and neutrophils. 3(x-5) +14(x-5)-24 50 people sponsor Paula and she raises a total of $180.65 for charity. 28 people sponsor Kate and she raises a total of $135.60 for charity. 45 people sponsor Sam and he raises a total of $169.25 for charity.How much money is raised altogether by three of them?$_____________ Why is scenario analyses an important tool for managers? Complete the concept map to identify the facial and cranial bones and their relationships to the cavities and sinuses of the skull. Explain how light brings about tropic movement in the stem and root of aflowering plant. The jet stream is traveling nearly due south from Wyoming to Colorado at 110 knots. If the planes speed is 400 knots, what will be its ground speed if it travels from Wyoming to Colorado? Which statement best describes how the scientific community analyzes data?OA. A scientist must always keep his or her data hidden from otherscientists.B. There is only one possible conclusion to be drawn from a set ofdata.OC. Each scientist must use his or her own, unique data.OD. Scientists can come to different conclusions based on the samedata.SUBMIT What is the domain of f(x) = 5x 7?{x | x > 7}{x | x < 7}{x | x > 0}{x | x is a real number} If the digital inputs for a supply-air fan control application indicate that the supply-air fan should be on, the controller compares the measured ________ to the set point; if this reading is lower than the setpoint, the supply-air fan speed must be increased. A corporate financial analyst must calculate the value of an asset which produces year-end annual cash flows of $0 the first year, $2,000 the second year, $3,000 the third year, and $2,500 the fourth year. Assuming a discount rate of 15 percent, what is the value of this asset?. Help ASAP, really stuck Will you do the hard questions What to know before watching multiverse of madness?. Discuss the prospects for economic development and increases in the quality of life in Sub-Saharan Africa. Read this passage from "The Black Cat":The officers bade me accompany them in their search.They left no nook or corner unexplored. At length, for thethird or fourth time, they descended into the cellar. Iquivered not in a muscle. My heart beat calmly as that ofone who slumbers in innocence. I walked the cellar fromend to end. I folded my arms upon my bosom, and roamedeasily to and fro. The police were thoroughly satisfied andprepared to depart.What effect does Poe's use of short sentences have on the pacing of thispassage?OA It causes the reader to question the accuracy of the narrator'sversion of events.B. It allows the reader a chance to review events in the story.C. It establishes a slow buildup to the climax of the story.D. It creates the effect of time passing quickly in the story. A coordinate plane is labeled street on the x-axis and avenue on the y-axis. ping is at point (3, 6) and ari is at point (21, 18). a line is drawn from ping to ari. ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym two-thirds the distance from ping's home to ari's home. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 where is the gym? 9th street and 10th avenue 12th street and 12th avenue 14th street and 12th avenue 15th street and 14th avenue