PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.

Answers

Answer 1

9514 1404 393

Answer:

  y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

  g(x) = k·f(x) . . . . vertical stretch by a factor of k

  g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

__

So, the translation down 2 units will make the function be ...

  f(x) = x^2  ⇒  f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

  f1(x) = x^2 -2  ⇒  3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

  f2(x) = 3(x^2 -2)  ⇒  f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

  y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

  y = 3x^2 +30x +69

__

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.

PLS PLS Help!Type An Equation Of A Parabola That Is Moved Down 2 Units, Stretched Vertically By A Factor

Related Questions

What's the answer to this question?

Answers

Answer:

C

Step-by-step explanation:

The solution to a system equations is the point(s) of intersection of the 2 graphs.

Assuming that each square grid represents 1 unit, the coordinates of the point intersection is (-2, 2). This is because drawing a vertical line straight down from the point of intersection, we notice that the x-coordinate of the solution is 2 square units on the left of the origin. Drawing a horizontal line from the point of intersection to the y-axis gives us the y-coordinate of y= 2. Thus, the solution is (-2, 2) and the answer is C.

This method of finding the solution is also known as graphical method, where the graphs of the 2 equations are drawn, and the solution is where the lines cuts through each other.

Alternative methods of solving equations include substitution and elimination methods.

*Origin is the point (0, 0) on the graph, and it is the point in which the two axes intersect.

Additional:

For an example of solving by substitution, do check out the following!

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Help please explanation as detailed as you can make it but easy to understand

Answers

Answer:

  tan(x) = (√6)/2

Step-by-step explanation:

The tangent identity is ...

  tan = sin/cos

Substitution

Substituting the given values of sine and cosine, we have ...

  [tex]\tan{x}=\dfrac{\sin{x}}{\cos{x}}=\dfrac{\dfrac{42}{55}}{\dfrac{14\sqrt{6}}{55}}[/tex]

Simplification

At this point, it becomes a problem in simplifying a compound fraction. This can be done by dividing the fractions in the usual way, and cancelling common factors from numerator and denominator.

We note the denominators (55) are the same, and that 42=3·14, so we can simplify this to ...

  [tex]\tan{x}=\dfrac{3}{\sqrt{6}}=\dfrac{3\cdot\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\dfrac{3\sqrt{6}}{6}\\\\\boxed{\tan{x}=\dfrac{\sqrt{6}}{2}}[/tex]

The step of multiplying by (√6)/(√6) is for the purpose of "rationalizing the denominator," making the denominator a rational number: (√6)² = 6.

__

Additional comment

If sin(x) = 42/55, then cos(x) = (√1261)/55. There is no angle x that will have these values of its trig functions. (Another example of poor curriculum editing.)

[tex]4(x+y)^{2} -20(x+y)^{2} +25z^{2}[/tex]

Answers

Answer:

I am pretty sure that it is 625.

Answer:

Step-by-step explanation:

please make sure you indicate  whether to factorize , simplify, fatorize by grouping , evaluate, or finding the derivative

You are playing the new Simpsons board game and it comes with a six sided dice with one of the following colors on each side, red, blue, green, purple, indigo and orange. If you roll orange you win a donut, if you roll green you get eaten by Maggie. What is the probability that you will roll anything but orange

Answers

The probability that person will be eaten by Maggie is 16.67%.

Given there are 6 sided coloured dice. Colours are red, blue,green,purple, indigo and orange.

We have to find the probability that the person will be eaten by Maggie.

Probability is the likeliness of happening an event among all the possible events. It lies between 0 and 1. The probability is the numberof items divided by the total number of items.

Number of green coloured sides=1

Total number of sides=6

Probability of getting green when the dice is rolled 1 time=1/6=0.1667

We have been told that if green comes then person will be eaten by Maggie so the probability that the person will be eaten by Maggie is 0.1667 which is 16.67%.

Hence the probability that the person will be eaten by Maggie is 16.67%.

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Question is incomplete as the complete question is :

What is the probability that the person will eaten by Maggie?

Solve the following for x, x∈W
a) 76 x 75 x 74 x ... x 6 = P(76, x)

Answers

The required value is 70. Using the permutations formula the required value is calculated. I.e.,  P(76, x) = P(76, 70).

How to calculate permutations?

The formula for permutations is

nPr = P(n, r) = n!/(n - r)!

Where P -number of permutations,

n - number of objects in the given set

r - number of choosing objects

Calculation:

The given series is

76 × 75 × 74 × ... × 6 = P(76, x)

We know that,

76!  = 76 × 75 × 74 × ... × 1 ...(i)

But to get the required series,

Divide the equation (i) by 6! = (76 - 70)!

Then,

76!/(76 - 70)! = 76 × 75 × 74 × 73 ... × 6

So, x = 70.

That is,

n!/(n - r)! = P(n, r)

⇒ 76!/(76 - 70)! = P(76, 70) = 2.618743E+108

Hence the required x value is 70.

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Simplify the expression using trigonometric identities:

Answers

The simplified expression is the one in option B.

How to simplify the expression?

Remember that:

[tex]sec(x) = 1/cos(x)\\\\cos(x) = cos(-x)[/tex]

With these two, we can rewrite the numerator as:

[tex]sec(x)*sin(-x) + tan(-x)\\\\\frac{1}{cos(x)}*sin(-x) + tan(x)\\\\\frac{1}{cos(-x)}*sin(-x) + tan(-x)\\\\2*tan(-x)[/tex]

Replacing that in the given expression, we have:

[tex]\frac{2*tan(-x)}{1 + sec(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}[/tex]

Now, if we multiply and divide by cos(-x), we get:

[tex]\frac{2*tan(-x)}{1 + 1/cos(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}*\frac{cos(-x)}{cos(-x)} \\\\= \frac{2*sin(-x)}{1 + cos(-x)}[/tex]

Now remember that:

[tex]cos(x) = cos(-x)\\sin(-x) = -sin(x)[/tex]

With these two properties:

[tex]\frac{2*sin(-x)}{1 + cos(-x)} = \frac{-2*sin(x)}{1 + cos(x)}[/tex]

Then the correct option is B.

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The four consecutive digits $a$, $b$, $c$ and $d$ are used to form the four-digit numbers $abcd$ and $dcba$. What is the greatest common divisor of all numbers of the form $abcd dcba$

Answers

1111 is the greatest common divisor of all numbers.

Lets simplify the problem,

1234  +  4321   =   5555

2345  +  5432   =   7777

3456  +  6543   =   9999

4567  +  7654   =   12221

5678  +  8765   =   14443

6789  +  9876   =   16665

After it , we get:

5555 _=_ 101 * 11  * 5

7777 = 101 * 11 * 7

9999 = 101 * 11 * 3 * 3

12221 = 101 * 11 * 11

14443 = 101 * 11 * 13

16665 = 101 * 11 * 3 * 5

abcd(5555, 7777, 9999, 12221, 14443, 16665)  =  101 * 11  =  1111

Hence we get 1111 is the greatest common divisor.

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Select the correct answer from each drop-down menu.
Graph of 2 polygons. Polygon 1 at A (minus 6, 6), B (minus 4, 6), C (minus 4, 4), D (minus 6, 2) in quadrant 2. Polygon 2, A prime (minus 6, minus 6), B prime (minus 6, minus 4), C prime (minus 4, minus 4), D prime (minus 2, minus 6) in quadrant 4.

Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the
, followed by a reflection across the line
.

Answers

The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.

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5. Factor
x²-x-72
(x-8)(x+9)
(x-6)(x+12)
(x+6)(x-12)
(x+8)(x-9)

Answers

Answer:

(x + 8)(x - 9)

Step-by-step explanation:

(x+8)(x-9)

= x² - 9x + 8x - 72

= x² - x - 72

Then

The factorization of x² - x - 72 is (x+8)(x-9)

W
Mark this and return
X
What is the value of a?
O 5 units
05
units
O 6 units
O 7 units
Save and Exit
Submit

Answers

Answer:jio

Step-by-step explanation:

Someone help me please

Answers

Answer:

[tex]\sqrt{60}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem a^2 + b^2 = c^2

In this case you are given a and c, so set the equation up like

2^2 + b^2 = 8^2

b^2 = 8^2 - 2^2

b =[tex]\sqrt{8^{2} -2^{2} }[/tex]

b =[tex]\sqrt{60}[/tex]

70 men constructed 150 meter long wall in 12 days so as hoy many person construct 600 meters long wall in 30 days

Answers

112 men construct 600 meters long wall in 30 days.

What is Time and Work formula?

[tex]\frac{M_1\times D_1}{W_1}=\frac{M_2\times D_2}{W_2}[/tex]

We can find the number of persons who can construct 600 meters wall as shown below:

Here, [tex]M_1=70[/tex]

[tex]D_1=12[/tex]

[tex]W_1=150[/tex]

[tex]W_2=600[/tex]

[tex]D_2=30[/tex]

We have to find [tex]M_2[/tex]

Putting in formula

[tex]\frac{70 \times 12}{150}=\frac{M_2\times 30}{600}[/tex]

[tex]M_2=\frac{70\times 12\times 600}{150\times 30}[/tex]

[tex]M_2=112[/tex]

Hence, 112 men can construct 600 meters wall in 30 days.

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What information is needed to shoe ABC~EDC

Answers

Answer:

I guess the first one is correct........

Angle a CB is congruent to angle ECD by vertical angle theorem, angle A is congruent to angle E because stated, so buy A.A similarity postulate the two triangles are similar

24 feet in 10 seconds​

Answers

Answer:Divide your speed in feet per minute by 60

Step-by-step explanation:


Find the unknown angle
x
4
z
y

Answers

Here is the solution

HELP HELP HELP
HELP HELP
HELP
(STEP BY STEP)

Answers

With some simple rearrangement, we can rewrite the numerator as

[tex]2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1[/tex]

Then factorizing the difference of squares, [tex]x^2-1=(x-1)(x+1)[/tex], we end up with

[tex]\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}[/tex]

Right triangle J K L is shown. Line L J has a positive slope. A dotted and horizontal line is drawn to point J to form an angle of 53 degrees.
What is the measure of the angle of elevation from point L to point J?

37°
45°
53°
137°

Answers

The angle formed at J and the angle of elevation at L are alternate angles, such that the angle of elevation is 53°

Which method can be used to find the angle of elevation?

The given parameters are;

Triangle ∆JKL is a right triangle

The slope of the line LJ = Positive

The angle formed by the horizontal line at J = 53°

Required;

The angle of elevation from point L to point J

Solution;

The angle of elevation at L is formed by an horizontal line drawn at L.

The two horizontal lines are parallel, and the angle of elevation at L is the alternate angle to the angle formed by the horizontal line at J.

Given that alternate angles formed between parallel lines having a common transversal are equal, we have;

The measure of the angle of elevation at L is the same as the angle formed at J which is 53°

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Answer:

C. 53 degrees

Step-by-step explanation:

hype'shfiofaudhskjkwdah

Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at most, 15 students play a sport. Should a binomial probability density function or cumulative distribution function be used? Explain. (4 points)

Answers

A binomial probability density function should be used to represent the probability

How to determine the type of probability density?

The given parameters are:

Proportion that plays sport, p = 32%Number of students selected, p = 50The probability, P = (x ≤ 15)

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

Play sport Do not play sport

When there are two possible events, then the binomial probability density function should be used

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A math class's mean test score is 88.4. The standard deviation is 4.0. If Kimmie scored 85.9, what is her z-score

Answers

The z-score of Kimmie is -0.625

Calculating z-score

The formula for calculating the z-score is expressed as;

z = x-η/s

where

η is the mean

s is the standard deviation

x is the Kimmie score

Substitute the given parameter

z = 85.9-88.4/4.0

z = -2.5/4.0

z = -0.625

Hence the z-score of Kimmie is -0.625

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Find the volume of this cone.

Answers

Calculate the volume of the cone

To start calculating the volume of the cone, we obtain the following data:

r = 4 cmh = 9 cmπ = 3

To calculate the volume of a cone, we apply the following formula:

[tex]\boldsymbol{\sf{V=\dfrac{\pi r^{2}h }{3} }}[/tex], where

V = volumeh = heightr = radiusπ = pi

We solve, substituting our data in the formula:

[tex]\boldsymbol{\sf{V=\dfrac{3*(4 \ cm)^{2}*9 \ cm }{3} }}[/tex]

taking the square root

[tex]\boldsymbol{\sf{V=\dfrac{3 *16 \ cm^{2}*9 \ cm }{3} }}[/tex]

Multiplying

[tex]\boldsymbol{\sf{V=\dfrac{432 \ cm^{3} }{3} }}[/tex]

Dividing

[tex]\boxed{\boldsymbol{\sf{V=144 \ cm^{3} }}}[/tex]

Therefore the volume of the cone is 144 cm³.

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

[tex]\huge\textbf{What is the formula for finding the}\\\\\huge\textbf{the volume of a cone?}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{\pi \times r^2\times h}{3} = volume}}[/tex]

[tex]\bullet\large\textsf{ Whereas, \boxed{r} is your \underline{radius}, \boxed{h} is your \underline{height}, \& \boxed{\pi} is your pi.}[/tex]

[tex]\bullet\large\textsf{The pi }\boxed{(\pi)}\large\textsf{ is approximately equal to 3.14.}[/tex]

[tex]\huge\textbf{What are the labels in your equation?}[/tex]

[tex]\star\ \large\boxed{{Radius}}\rightarrow \textsf{\underline{4\ centimeters}}}}}[/tex]

[tex]\star\ \large\boxed{{Height}}\rightarrow \textsf{\underline{9\ centimeters}}}}}[/tex]

[tex]\star\ \large\boxed{{\pi}}\rightarrow \textsf{\underline{3}}}}}[/tex]

[tex]\huge\textbf{What does should the equation look}\\\\\huge\textbf{like?}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}[/tex]

[tex]\huge\textbf{What are the steps to solve for the}\\\\\huge\textbf{question to get the result?}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}[/tex]

[tex]\large\boxed{\mathsf{= \dfrac{3\times4\times4\times9}{3}}}[/tex]

[tex]\large\boxed{= \mathsf{\dfrac{3\times16\times9}{3}}}[/tex]

[tex]\large\boxed{\mathsf{= \dfrac{48\times9}{9}}}[/tex]

[tex]\large\boxed{\mathsf{= \dfrac{432}{3}}}[/tex]

[tex]\large\boxed{\mathsf{= \dfrac{432 \div 3}{3\div3}}}[/tex]

[tex]\large\boxed{= \mathsf{\dfrac{144}{1}}}[/tex]

[tex]\large\boxed{\mathsf{= 144\div1}}[/tex]

[tex]\large\boxed{= \textsf{144}}[/tex]

[tex]\huge\textbf{What is the result to this question?}[/tex]

[tex]\huge\boxed{\frak{144\ cm^3}}\huge\checkmark[/tex]

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

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

find x please (look at the image)

Answers

Answer:

55

Step-by-step explanation:

Draw a line through the center (horizontally).

Then draw a vertical line through the vertex of the right angle.

You'll get 2 triangles

I'll let you figure this out, it pretty easy

Remember a straight angle add up to 180 degrees, a triangle adds up to 180 degrees.

Jack's cow is tied to a
beanstalk with a piece
of rope that is 15 ft long.
What is the area of the
circle in which the cow can graze

Answers

Answer:

706.86ft² or 225π ft²

Step-by-Step Explanation:

r = 15ft

Now solve the area of the circle! :)

A=πr²

A=π15²

A=225π ft²

or to simplify further!

A=706.86ft²

A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?

I keep hearing 3/5 and 7/20 but I don’t know which is right, please help.

Answers

Answer: I would go with 3/5, the person who said 7/20 doesn't have any thank you's or ratings besides themselves while 3/5 has thank you's , and confirmation

Step-by-step explanation:

Which is the graph of the equation ?
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?

–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y

Answers

The equation of the line is y = 3/2x - 3

How to determine the line equation?

The points are given as:

(0, -3), (2, 0), and (4, 3).

Start by calculating the slope (m) using:

m = (y2-y1)/(x2 -x1)

This gives

m = (3 + 3)(4 - 0)

Evaluate

m = 3/2

The equation is the calculated as:

y = m(x - x1) + y1

This gives

y = 3/2(x - 0) - 3

y = 3/2x - 3

Hence, the equation of the line is y = 3/2x - 3

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Again pls help out!

Answers

Answer:

okay so I think its, horizontal shift right 2 and a vertical shift down 1

Step-by-step explanation:

so x says + 2 so right 2 and y says -y so down 1..?

I'm kinda rusty tho so yeah

Hicro
children in a class are asked about the animals they own.
between them, they only have cats, dogs, rabbits and hamsters.
the pictogram shows information about the numbers of cats, dogs and rabbits
owned by members of the class.
a total of 33 animals are kept as pets. complete the pictogram.

Answers

While solving the pictogram, we get that the number of hamsters owned  are 4.

Solution:

total number of pets = 33

total number of cats = 12

total number of dogs = 11

total number of rabbits = 6

then total number of hamsters = total pets - total cats, dogs, and rabbits

total number of hamsters = 33 - ( 12 + 11 + 6)

total number of hamsters = 4

also, on the pictogram one block represents 4 animal. then, total number of hamsters will be represented by one block.

view the second attachment for answer.

What is pictogram?

A pictogram, also known as a pictogramme, pictograph, or just a picto[1], is a graphic symbol that communicates its meaning by a visual likeness to an actual thing.In writing and graphic systems where the characters resemble pictures to a large extent, pictographs are frequently utilized.Geographical, recreational, and tourism-related topics can all benefit from the usage of pictograms.

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I hope you are trying to ask the question below in the image

Suppose the diameter is 35cm. what is its curumference?include the unit measure in your answer

Answers

The circumference of the circle of diameter 35cm is 109.9 cm.

Given the diameter of the circle is 35 cm.

We are required  to find the circumference of the circle.

The circumference is the arc length of the circle, The perimeter is the curve length around any closed figure. It is equat to the length of the outer ring of a circle.

Formula of circumference=2πr where r is the radius of the circle.

Diameter=35 cm

Radius=35/2 cm (Radius is half of diameter)

Circumference=2π*35/2

=35π

Put the value of π =3.14 (it can be 22/7 as well.)

=35*3.14

=109.9 cm

Hence the circumference of the circle  is 109.9 cm.

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Thank you please

Solve the system of equations

:−5x−10y=−50
10x+8y=16
The solution is
x
=
,
y
=

Answers

Answer:

x=-4,   y=7

Step-by-step explanation:

-5x-10y=-50...(1)

Multiply both sides by -1:

5x+10y=50

5x=50-10y

x=(50-10y)/5

Substitute x=(50-10y)/5 into second given eqaution:

10(50-10y)/5+8y=16

Cancel out common factor 5:

2(50-10y)+8y=16

100-20y+8y=16

-12y=16-100

-12y=-84

y=84/12

y=7

Substitute y=7 into equation (1)

-5x-10(7)=-50

-5x-70=-50

-5x=-50+70

-5x=20

x=-20/5

x=-4

i’ll give brainliest

Answers

Answer:

5

Step-by-step explanation:

-2x - y = -3

y = -3x + 2


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

-2x + 3x - 2 = -3

x = -1


y = -3*-1 + 2 = 5

The answer is 5. you just move fhe -2x onto the same side ad the -3. Then you have the y= of the two equations right over eachother. Then just sove like an addition/ subtraction problem.


slope:
y-intercept:
HELPPPPP PLEASE

Answers

Answer:

Slope: -1

Y-intercept: 2

Step-by-step explanation:

Line crosses y-axis at 2, the slope is going down so it is negative, and it is going down by 1.

I hope it helps! Have a great day!

bren~

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Purchasing Louisiana from France how fast must an electron move to have a kinetic energy equal to the photon energy of light at wavelength 478 nm? the mass of an electron is 9.109 10-31 kg. DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!Two normal distributions have the same mean, but different standard deviations. Describe the differences between how the two distributions will look and sketch what they may look like what sequence of pseudorandom numbers is generated using the linear congruential generator xn 1 = (3xn 2) mod 13 with seed x0 = 1? a cow eye has a colorful structure on the posterior wall, which is not present in the human eye. called the tapedum lucidum.___________true or false Give an example of a relation on the set of text strings that is not reflexive, not antire- flexive, not symmetric, not antisymmetric, and not transitive. Prove that for any sets A, B, C, D, and E, if DnB CA\C, then DnECE\(BNC). Prove that the cube of an odd number is always odd. Let R be a relation on R defined by {(x, y) | 2 y > 1}. (a) Is R reflexive? Justify your answer with a counterexample or a short explanation as appropriate. (b) Is R antireflexive? Justify your answer with a counterexample or a short explanation as appropriate. (c) Is R symmetric? Justify your answer with a counterexample or a short explanation as appropriate. (d) Is R antisymmetric? Justify your answer with a counterexample or a short expla- nation as appropriate. (e) Prove that R is transitive. Use induction to prove the following claim: For all natural numbers n, if n > 2, then 3n > 2n+1. The allowable bending stress is allow = 21.4 ksi and the allowable shear stress is allow=15ksiDetermine the minimum width of the beam that will safely support the loading of P=8kip. Find the number of ways in which seven different toys can be given to three children of the youngest is to receive three toys and the others two toys each. problem 8.27 for the circuit in fig. p8.27, choose the load impedance zl so that the power dissipated in it is a maximum. how much power will that be? how many moles of nitrogen are required to make 3.4 moles of ca(no2)2 Present an overview of RNA-induced gene silencing achieved through RNA interference (RNAi). How do the silencing processes begin, and what major components participate? Select all that apply. a. The RISC complex, guided by single-stranded RNA, can silence gene expression by affecting either mRNA stability or translation. b. The RITS complex, guided by single-stranded RNA, recruits chromatin remodeling proteins that can repress transcription. c. The Dicer complex can cleave both siRNA and miRNA precursors into siRNAs and miRNAs. d. siRNA molecules are derived from single-stranded RNAs that are transcribed from the cell's own genome. e. Short, double-stranded RNA molecules are recognized by either the RISC or RITS complex and the sense strand is degraded. Caroline has a map drawn to scale that is 17 cm wide. The scale shows that 1 cm is equal to 1 mile. How many miles are represented by the width of the map? create two derived classes ""videodevice"" and ""diskdevice"" that both inherit from ""device"" an electric device delivers a current of 5.0 a to a device. how many electrons flow through this device in 10 s? ( e = 1.60 10 19 c e=1.601019c ) Determine whether the data set is a population or a sample. Explain your reasoning. The number of cars for 10 households in a neighborhood of 30 households Choose the correct answer below. A. Sample, because it is a collection of the number of cars for all households in the neighborhood, but there are other neighborhoods. B. Population, because it is a subset of all households in the neighborhood C. Population, because it is a collection of the number of cars for all households in the neighborhood. D. Sample, because the collection of the number of cars for 10 households is a subset of all households in the neighborhood. Cyrano is an idol of excess and principle - a twist on irony and important commentary in classic literature. Besides what were indicated in Ledford's essay, what other principles and beliefs have been taken to their extreme in the play either by other characters, such as Roxane or Le Bret? Cite a scene or example from the play to support your answers, and be sure to indicate the page number it is lifted from.