Which graph represents 3x2 + 3y2 – 48x + 60y + 384 = 0?

Answers

Answer 1

it was helpful to you:

[tex]3 {x}^{2} + 3 {y}^{2} - 48x + 60y + 384 = 0 \\ \\ (x - a) {}^{2} + (y - b) {}^{2} = {r}^{2} \\ is \: the \: circle \: equcation \\ with \: a \: radius \: r \: centered \\ at \: (a \: b) \\ \\ rewrite \: 3 {x}^{2} + 3 {y}^{2} - 48x + 60y + \\ 384 = 0 \: in \: the \: standard \: of \: \\ circle \: equation \\ (x - {8}^{2} ) + (y - ( - 10)) {}^{2} \\ \\ therefore \: the \: circle \: properties \\ \: are \: (a \: b) = (8 \: - 10) \: r = 6 \\ \\ answer \: is \: (8 \: - 10) \: r = 6[/tex]

Which Graph Represents 3x2 + 3y2 48x + 60y + 384 = 0?
Answer 2

Answer:

Answer is A!

Step-by-step explanation:

I got it right on edg 2021!

Which Graph Represents 3x2 + 3y2 48x + 60y + 384 = 0?

Related Questions

what is the HCF of 7 and 13​

Answers

Answer:

The HCF of 7 and 13 is 1

Step-by-step explanation:

Prime numbers only have one factor which is 1 and itself
•••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!

100÷50000 it's has to be step by step aka show work ​

Answers

100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal​

Answers

area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...

HOPE SO IT HELPS YOU

in another baseball division one team had a winning of 0.444 what fraction of their team did this team win

Answers

Answer: 111/250

Explanation:

0.444 = 444/1000 = 111/250

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

2 QUESTIONS

Answers

Hi, Laura! ;)

The answer to the first question is 5,62.

Here is the step by step solution:

They want to know the center of a distribution. Another word for center is middle. When you have a set of numbers, you can find the middle by calculating the mean, the "average" of the data set.

1) Add all the numbers: 12,8 + 5,7 + 7,9 + 1,3 + 3,2 + 2,8 = 33,7

2) Divide the sum by the quantity of numbers, which is 6:  33,7 / 6 = 5,616

The closest number to 5,616 is 5,62.

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

Now let's answer your second question.

The correct answer is, indeed, 0,14.

How do we get to this number? Here is the step by step solution:

1) First step is to find out how many possible outcomes you have. It is the

number of raffle tickets in the box: 200.

2) Then, let's define the number of tickets that are prizes: 4 + 8 + 16 = 28.

The probability of selecting a prize ticket is the number of prize tickets divided by all the raffle tickets in the box: 28 / 200 = 0,14.

Now, let's practice Probability with another Brainly problem:

https://brainly.com/question/16447117

Good luck, Laura! :)

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

(x-2)^2 + (y-1)^ = 1

Step-by-step explanation:

First, we take the circle graphing formula, which is (x-h)^2 + (y-v)^2 = r^2 and plug in the values on the graph with the center of the circle being (h,v) and the radius being r. h = 2, v = 1, and r = 1, so we get (x-2)^2 + (y-1)^2 = 1!

I hope this helped! :D

solve for x.
a. 2
b. 5
c. 0
d. 7

Answers

Answer:

x=0

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

A circle is 360 degrees

The missing arc is

360 - (2x+260)

360 -2x-260

100 -2x

Using the formula

50 = 1/2(100-2x)

50  = 50 -x

Subtract 50 from each side

0 = -x

x=0

Find an explicit formula for the geometric sequence \dfrac12\,,-4\,,\,32\,,-256,.. 2 1 ​ ,−4,32,−256,..start fraction, 1, divided by, 2, end fraction, comma, minus, 4, comma, 32, comma, minus, 256, comma, point, point. Note: the first term should be \textit{a(1)}a(1)start text, a, left parenthesis, 1, right parenthesis, end text. a(n)=a(n)=a, left parenthesis, n, right parenthesis, equals

Answers

Answer:

a(n)= 1/2 * (-8) n-1

Step-by-step explanation:

In a geometric sequence, the ratio between successive terms is constant. This means that we can move from any term to the next one by multiplying by a constant value. Let's calculate this ratio over the first few terms:

\dfrac{-256}{32}=\dfrac{32}{-4}=\dfrac{-4}{\frac12}=\blue{-8}  

32

−256

=  

−4

32

=  

2

1

 

−4

=−8start fraction, minus, 256, divided by, 32, end fraction, equals, start fraction, 32, divided by, minus, 4, end fraction, equals, start fraction, minus, 4, divided by, start fraction, 1, divided by, 2, end fraction, end fraction, equals, start color #6495ed, minus, 8, end color #6495ed

We see that the constant ratio between successive terms is \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed. In other words, we can find any term by starting with the first term and multiplying by \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed repeatedly until we get to the desired term.

Let's look at the first few terms expressed as products:

nn 111 222 333 444

h(n)\!\!\!\!\!h(n)h, left parenthesis, n, right parenthesis \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large0}\!\!\!\!\!\!  

2

1

⋅(−8)  

0

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, 0, end superscript \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large1}\!\!\!\!\!\!  

2

1

⋅(−8)  

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, 1, end superscript \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large2}\!\!\!\!\!\!  

2

1

⋅(−8)  

2

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, squared \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large3}  

2

1

⋅(−8)  

3

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, cubed

We can see that every term is the product of the first term, \red{\dfrac12}  

2

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, and a power of the constant ratio, \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed. Note that this power is always one less than the term number nnn. This is because the first term is the product of itself and plainly 111, which is like taking the constant ratio to the zeroth power.

Thus, we arrive at the following explicit formula (Note that \red{\dfrac12}  

2

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030 is the first term and \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed is the constant ratio):

a(n)=\red{\dfrac12}\cdot\left(\blue{-8}\right)^{\large{\,n-1}}a(n)=  

2

1

⋅(−8)  

n−1

a, left parenthesis, n, right parenthesis, equals, start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, n, minus, 1, end superscript

Note that this solution strategy results in this formula; however, an equally correct solution can be written in other equivalent forms as well.


Write f(x)=5 -(x – 4)2 in the form f(x)= ax+bx+c.

Answers

Answer:

[tex]f(x) = 5 - (x - 4)^2[/tex].

Step-by-step explanation:

[tex]f(x) = 5 - (x - 4)^2[/tex]

[tex]f(x) = 5 - (x-4)*(x-4)[/tex]

[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]

[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]

[tex]f(x) = 5 - x^2 + 8x - 16[/tex]

[tex]f(x) = -x^2 + 8x - 11[/tex].

Hope this helps!

HELP ME ASAP !!!!! ITS DUE TODAY

Answers

Answer a:

Figure 4 = 5 blocks up, 5 blocks right

Figure 5 = 6 blocks up, 5 blocks right

Answer b: Grows 2 blocks each time, 1 blocks at the top and 1 blocks on the right.

Answer c: Since you add 2 blocks each time, you do the opposite so you subtract 2 blocks. The answer will be 1 block.

Step-by-step explanation:

if x=-1 , y=1 and z =2 then find the value of. a . 2x+3y +4z b. 5x2 +3y2+7z2​

Answers

Answer:

a.2×1= 2 + 3×1=3 +4×2=8 now we have to put this ans and the ans is 13.

b. 5×1×2=10 + 3×1×2=6+ 7×2×2=28 now also we have to put this ans and this ans is 13

Solving Functions. Julio is paid 1.4 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 44 hours and earned $560.00.

Answers

Julio is your paid 23 dollars.

The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of the piece of plastic?

Answers

Answer:

6 mm and 9 mm are the dimensions of the piece of plastic.

Step-by-step explanation:

Keep in mind the formulas for the area and perimeter of a rectangle:

A = lw

P = 2 (l + w)

List the factors of 54:

1, 2, 3, 6, 9, 18, 27, 54

POSSIBLE DIMENSIONS of the piece of plastic:

1 mm and 54 mm:

Area - 54 mm^2

Perimeter - 110 mm

2 mm and 27 mm

Area - 54 mm^2

Perimeter - 58 mm

3 mm and 18 mm

Area - 54 mm^2

Perimeter - 42 mm

6 mm and 9 mm

Area - 54 mm^2

Perimeter - 30 mm

The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.

Hope this helps!

please solve this

.............​

Answers

Answer:

D

Step-by-step explanation:

Note that I will be using a, b, and y instead of their Greek counterparts.

First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get

sin(b+y) = sin(b)cos(y) + cos(b)sin(y)

sin(b-y) = sin(b)cos(y) - cos(b)sin(y)

sin(a+y) = sin(a)cos(y) + cos(a)sin(y)

sin(a-y) = sin(a)cos(y) - cos(a)sin(y)

Plugging these into our equation, we get

(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))

/

(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))

=

2cos(b)sin(y) / 2cos(a)sin(y)

= cos(b)sin(y)/cos(a)sin(y)

= cos(b)/cos(a)

Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get

cos(b) / cos(π-b)

After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get

cos(π-b) = cos(π)cos(b) - sin(π)sin(b)

= -cos(b) + 0

= -cos(b)

Plugging that back into our equation, we get

cos(b) / -cos(b) = -1

Solve: XXV - IV Show your answer in standard form.​

Answers

Step-by-step explanation:

the answer is xxl in roman number or 21

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

The number of solutions of |x - 1| + |x - 3| = 2 is​

Answers

Hope my answer helped u :)

Answer:

There are 3 intervals as following:

x ≤ 1

-(x - 1) - (x - 3) = 2-2x + 4 = 22x = 2x = 1

1 ≤ x ≤3

(x - 1) - (x - 3) = 22 = 2, any value of x in the same interval

x ≥ 3

(x - 1) + (x - 3) = 22x - 4 = 22x = 6x = 3

Combining the all, we get:

1 ≤ x ≤3 or x = [1, 3]

A 10 oz bottle of shampoo cost $2.40 and a 12oz bottle cost $2.64 find the unit rate for each which bottle has the lower unit cost

Answers

Answer:

12oz bottle

Step-by-step explanation:

10 oz bottle

Take the price and divide by the ounces

2.40 /10 = .24 per ounce

12oz bottle

2.64 / 12 =.22 per ounce

[tex](4v^{-3} )^3/3v^{-8}[/tex]

Answers

Answer:

[tex]=\frac{64}{3v}[/tex]

Step-by-step explanation:

One is given the following equation:

[tex]\frac{(4v^-^3)^3}{3v^-^8}[/tex]

Simplify the numerator, remember to raise every number inside the parenthesis to the exponent outside of the parenthesis. Bear in mind, an exponent raised to another exponent is equal to the exponent times the exponent it is raised to. Then simplify by multiplying the number by itself the number of times that the exponent indicates.

[tex]\frac{(4v^-^3)^3}{3v^-^8}[/tex]

[tex]=\frac{4^3(v^-^3)^3}{3v^-^8}[/tex]

[tex]=\frac{4^3v^-^9}{3v^-^8}[/tex]

[tex]=\frac{64v^-^9}{3v^-^8}[/tex]

Bring the variable (v) in the denominator (value under the fraction bar) to the numerator (value ontop of the fraction bar) by multiplying its exponent by (-1). This can be done simply because all operations in this equation are multiplication or division, remember, an exponent is another form of multiplication.

[tex]=\frac{64v^-^9}{3v^-^8}[/tex]

[tex]=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}[/tex]

Simplify, remember, multiplying two numbers with the same base that have an exponent is the same as adding the two exponents,

[tex]=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}[/tex]

[tex]=\frac{(64v^-^9)(v^8)}{3}[/tex]

[tex]=\frac{64v^-^9^+^8)}{3}[/tex]

[tex]=\frac{64v^-^1}{3}[/tex]

Now bring the variable to the denominator so that there are no negative exponents. Use a similar technique that was used to bring variables with exponents to the numerator.

[tex]=\frac{64v^-^1}{3}[/tex]

[tex]=\frac{64}{3(v^(^-^1^)^(^-^1^))}[/tex]

[tex]=\frac{64}{3v^1}[/tex]

[tex]=\frac{64}{3v}[/tex]

Subtract. Write the answer as a fraction simplified to lowest terms

Answers

Answer:

3/14

Step-by-step explanation:

4/7 - 5/14

Get a common denominator of 14

4/7 *2/2 - 5/14

8/14 - 5/14

3/14

3/4 ……………………….. your welcome

— 12 — бр – (-2)
HELP ASAP

Answers

Answer:

-10 - 6p

Step-by-step explanation:

-12 - 6р - (-2)

~Combine like terms

-10 - 6p

Best of Luck!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
How the data set rises and drops can best be summarized by the ___________ of the data set.
A. shape
B. values
C. spread
D. center

Answers

Answer:

Shape

Step-by-step explanation:

I hope this will help buddy

Doubling both the area of the bases and the height of a prism doubles its volume. T/F

Answers

Answer:

True.

Step-by-step explanation:

Answer: False

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

Explanation:

Let's consider a prism that has dimensions of  

L = 3 ft W = 4 ft H = 5 ft

and we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3

If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.

The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3

The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.

HELP PLEASE!!! What is the vertex of the parabola generated by the function
f (x) = 2x^2 - 4x + 3 ?

Answers

Answer:

VERTEX: (1,1)     Directrix: Y=0.88    

Step-by-step explanation:

Answer:

vertex = (1, 1 )

Step-by-step explanation:

Given the equation of a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 2x² - 4x + 3 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate of vertex

f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

vertex = (1, 1 )

The number of new trees planted is increasing each year. The table shows the change in number of new trees planted from year to year. How many new trees will there be in year 5

Answers

Answer:

The answer is 94500

Step-by-step explanation:

(If i did the math right that should be the answer)

9514 1404 393

Answer:

  151,875

Step-by-step explanation:

Each population value is 1.5 times the previous one. If that trend continues, the population in year 4 will be 66,500·1.5 = 101,250, and the population in year 5 will be 101,250·1.5 = 151,875.

If the exponential growth trend continues, there will be 151,875 new trees in year 5.

There are 50 teenagers at a swim meet. The ratio of locals to out-of-town

participants is 2:3. How many teenagers travelled from out-of-town to the swim

meet?

Answers

Answer:

There are 30 out of towners

Step-by-step explanation:

locals: out of town: total

2            3                     2+3 = 5

There are 50 total 50/5 =10 so multiply each term by 10

locals: out of town: total

2*10        3 *10              5*10

20                 30             50

There are 30 out of towners

Total teenagers = 50

Ratio = 2:3

Let the ratio people out of town be x

2x + 3x = 50

5x = 50

x = 10

Therefore 3× 10, 30 people out of town travelled to swim meet

Must click thanks and mark brainliest

What is the slope of line AB

Answers

6/8 (as the equation for slope is y/x, or rise over run). That can be simplified to 3/4, or .75

What is the equation of the graph below?
S
2.
1
-
3
Oy = -(x - 3)2 + 1
Oy = -(x + 1)2 + 4
Oy = (x + 1)2 - 4
Oy = (x - 4)2 + 1

Answers

Answer:

[tex]y=-(x-3)^2+1[/tex]

Step-by-step explanation:

Hi there!

Vertex form: [tex]y=a(x-h)^2+k[/tex] where [tex]a[/tex] is a scale factor and [tex](h,k)[/tex] is the vertex of the parabola

On the graph, we can determine that the vertex of this parabola is (3,1). Plug this into [tex]y=a(x-h)^2+k[/tex]:

[tex]y=a(x-3)^2+1[/tex]

The value of a must either be -1 or 1 because the graph has not been stretched or compressed vertically. How can we tell? Well, starting from the vertex, if we increase x by 1, y only changes by 1. If we decrease x by 1 starting from the vertex, y only changes by 1. This wouldn't be the case if the graph had been stretched or compressed.

Now, because this is a downward-facing parabola, we know that the value of a is negative. Because a can only be -1 or 1, a is therefore -1. Plug this into [tex]y=a(x-3)^2+1[/tex]:

[tex]y=-(x-3)^2+1[/tex]

I hope this helps!

QUESTION: Josephine put a frame round his picture which measured 36 cm by 34 cm. A margin 4cm wide was left all the way round. What was the area of the margin ?

(NOTE:SORRY BUT UNFORTUNATELY THERE ISN`T A DIAGRAM)

Answers

36x34= 1224cm²
(36-4)x(34-4)= 32x30= 960cm²

Area of frame= 1224
Area of picture inside frame= 960
So border = 1224-960= 264

ANSWER = 264cm²

When a plane lands at the local airport, it touches ground and creates an angle between the ground and the belly of the plane. What is a good estimate of the angle measurement? A.65 B. 50 C.35 D. 20

Answers

Answer:

Step-by-step explanation:

D (20 degrees) is the most reasonable estimate.  Were the angle 65 degrees, the plane would almost surely crash because the body of the plane could not possibly change direction so quickly.

Answer:

D!!!!!!

Step-by-step explanation:

1) A couple is expecting the birth of a baby boy. They will name the child by choosing a first name
and middle name from this list of their favorite boys' names: Jacob, Jonah, Joshua, Jeremy,
James, Joseph. The first name will be different from the middle name.
How many different two-part names are possible? (Example: Joseph Jeremy, Jeremy Joseph,
and Joshua James are three different, valid two-part names; Jacob Jacob is not a valid
possibility.)
a) 36
b) 12
c) 30
d) 11

Answers

Answer:

C. 30

Step-by-step explanation:

We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

n = total number of objects

r = number of objects selected

In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.

[tex]_6P_2=\frac{6!}{(6-2)!}=30[/tex]

Therefore, there are 30 possible two-part names.

Other Questions
how does corruption impact on service delivery? Nights and DragonsFrom the memoir of author Abigail Prynne1I sit at my desk listening to thunder growl outside my window. Flashes of light burst through the darkness, and wind races past my window. The thrilling combination of sight and sound conjures up visions of dragons roaring proudly, breathing fire, and soaring across the midnight sky. Dragons first fascinated me when I was a little girl. They have followed me ever since. The magnificent creatures appeared in storybooks I read in the library, paintings I saw in museums, movies I watched in the theater, and the dreams I had in my sleep. By the time I was thirteen, one question consumed me. I wanted to know if dragons ever existed, so I set out on a quest for facts.2As I started my research, I discovered many skeptics. Scientists presented evidence to show why dragons could notand did notexist. They explained that it would be impossible for dragons to fly because they would be too big. They laughed at the idea of dragons breathing fire. They pointed out that no other animal has ever done this. They said that if dragons had lived, someone would have found remains somewhere in the world. No bones about it, there were plenty of logical explanations. It would have been easy for me to accept that the only place dragons ever existed was in the imaginations of those who believed.3I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out on everything else." With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legal papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals. I began to believe it was a real possibility that all of these people were talking about a creature that actually existed.4With renewed hope that there was some truth to the legends, I looked for new research. I found that some experts disagreed with popular arguments against dragons. They suggested that a dragon could have four stomachs like a cow. If it created stomach gases like birds, it might create enough to lift itself off the ground. This would give it the ability to fly. If it forced out air when diving toward the earth, it might release gases which could ignite into flame. When the animal died, the stomachs would release strong acids that would dissolve its dead body over time. Biologists backed up these ideas with sketches and models based on known animals. Not everyone agreed with these ideas, but many of the things we accept about dinosaurs and other extinct species started the same way.5I doubt we will ever truly know whether dragons existed. There may always be two sides to the fiery debate. Some will say the stories come from active imaginations. Some will believe with all their hearts that the legendary creatures roamed our ancient world. I don't know for certain which side to believe, but the sound and fury of a night like this makes me smile. It rekindles my childhood dreams and keeps the exciting possibility alive.In paragraph 5, the author discusses two sides to the dragon debate. Which statement best summarizes the ideas in the paragraph? The author implicitly states that she believes that dragons once existed. The author explicitly states that she believes that dragons once existed. The author implicitly states that she believes that dragons did not exist. The author explicitly states that she believes that dragons did not exist. Installation of certain hardware takes a random amount of time. The installation times form a normally distributed distribution with a standard deviation 5 minutes and a mean of 45 minutes. A computer technician installs the hardware on 31 different computers. You are interested to find the probability that the mean installation time for the 31 computers is less than 43 minutes.Select the most appropriate item that pertains to the problem. a. z=-0.4b. none of thesec. z=-2.23 d. z=2.23And, What is the probability that the mean installation time for 31 computers is less than 43 minutes?a. 0.400b. 0.345c. none of thesed. 0.0129e. 0.987 Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft. if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain Balance the following equations Infrared and ultraviolet waves have different frequencies.Both types of wave can have harmful effects on human beings.Describe the harmful effects of infrared and ultraviolet waves, relating them to the frequencies of the waves. want to paint two walls in a room the height of the room is 2.5m and width of both walls is 4m calculate the area that needs to paint. What is 2 8/9 ???? In developing follicles of the mammalian ovary, the thecal cells secrete testosterone. If the granulosa cells of a follicle are unable to convert this testosterone to _______, they will not express enough FSH and LH receptors to allow for follicle maturation and _______. Organisms can either be made of one cell or made of more than one cell Help me please -2x-2x please helpp due by midnightttttttt What is the remainder when () = 3 11 10 is divided by x+3 although he talks....loud, i can't hear him because the street...crowdeda. so/sob. such/suchc. so/suchd. so/verye. such/that Write the equation of a line in standard form that is perpendicular to y = - x + 4 and goes through the point (3,1). A.Yes, since the slopes are the same and the y-intercepts are the same.B.No, since the y-intercepts are different.C.Yes, since the slopes are the same and the y-intercepts are different.D.No, since the slopes are different. find the exact length of side a. our of 1000 new bornbabies, there are 514boys, what will be theempirical probability the newly born baby is(i) a boy (ii) a girl SENTENCE TRANSFORMATION Complete the second sentence so that it has a similar meaning to the first sentence, using the word in brackets. Do not change the given word. You must use between TWO and FIVE words for your answer. I cannot type very well. (AT) I am ... She says she may join the debating society. (INTERESTED) She says she's ... the debating society. I think that I might make mistakes. (AFRAID). I ... mistakes. He left but he did not say goodbye. (WITHOUT) He left ... goodbye. My mom doesn't want to work in an office any more. (TIRED) My mom ... in an office. Switch off the lights, then you can leave. (BEFORE) Switch off the lights ... He is one of the people who runs the youth club. (INVOLVED) He is ... the youth club. She went on her own and did not wait for the others. (INSTEAD) She went on her own ... for the others. He does not always remember people's names. (BAD) He ... people's names. You can only improve if you work harder. (BY) You can only improve ... harder. Why didn't she give you her phone number? (REFUSE) Why ... you her phone number. They couldn't drive home because of heavy snowfall. (PREVENTED) Heavy snowfall ... home. I really don't want to go out tonight. (PREFER) I ... out tonight. He was punished for his bad behaviour. (BADLY) If he ..., he wouldn't have been punished. She found it hard to answer the test questions . (DIFFICULTY) She ... the test questions. We started eating after all the guests had arrived. (UNTIL) We ... all the guests had arrived. Did Timothy say why he was late? (REASON) Did Timothy ... late? We hired a caretaker to look after my father. (CARE) We hired a caretaker ... my father. He gave them not only a house but some land also. (BESIDES) .... them some land also. He is rich, yet he is not happy. (SPITE) .... he is not happy. What would you need to do to calculate the molality of 10 g of NaCl in 2 kg ofwater?A. Convert the 2 kg of water to liters of water.O B. Convert the 10 g of NaCl to moles of NaCl.C. Convert the 2 kg of water to moles of water.O D. Convert the 10 g of NaCl to kg of NaCl.