A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?

S = (12),(7)
S = 2π ,, times,,,6,, times,,,7

S = 2π ,, times,,,12,, times,,,7

S = (2π ,, times,,,6,, times,,,7) + (2π ,, times,,,6

Answers

Answer 1

Answer:

S = 2π,, times,,,6,, times,,,7


Related Questions

what is the answer to the question

Answers

Answer: blah blah blah join my chatlet write join/johan chatlet with no spaes

Step-by-step explanation:

An Olympic-sized pool, which holds 660,000 gallons of water,
is only 63% full. The pool maintenance company adds more
water, filling the pool to 90% full. How many gallons of water
did they add?
P
7.AR 3.1
a
244 200
178 200
B) 594 000
415.800
134

Answers

The amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

How much water, in gallons, did they add?

The amount of water an Olympic-sized pool can hold is, 660,000 gallons.

The pool is 63% full at the moment

The of water in the pool now is:66% of  660,000 gallons

If the pool is 90% full then the amount of water in the pool is:

90% of 660,000 = 594,000 gallons

The amount of water added by the pool maintenance is:

Amount of water added = 90% of 660,000 - 63% of 660,000

594,000 - 415,800

= 178200                                  

Thus, the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

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Paul pay the newpaper company 70% of what he collect how much would he keep for himelf in a month when he collected 450. 0

Answers

Answer:

£135

Step-by-step explanation:

70% of £450

=£315

£450-£315=135

what percent is 35 out of 45

Answers

Answer: The correct answer is 77.77 %

Step-by-step explanation: To calculate the percentage, number or ratio that can be expressed as a fraction of 100.

The vertex form of the quadratic function f(x) = x² + 10x + 1 is f(x) = a(x - h)² + k.
What is the value of a? |
What is the value of h?
What is the value of k?

Answers

Answer:

[tex]a=1, h=-5, k=-24[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+10x+1 \\ \\ =x^2+10x+25+1-25 \\ \\ =(x+5)^2-24 \\ \\ \therefore a=1, h=-5, k=-24[/tex]

What type of symmetry does this graph have?

Answers

Answer:

Line

Step-by-step explanation:

You could draw a line up the center, and it would be symmetrical.

I believe the answer is line symmetry because you can draw a straight line vertically that evenly divides the parabola.

Please give brainliest I need three more!!!!!!!!!

Helpppp meeeeee. Merry Christmas!!

Answers

Answer:

Yup it the first one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What kind of problem is 3x 1?

Answers

This is a multiplication issue, as shown by the usage of the multiplication symbol. The multiplication issue is the solution.

What do math signs mean?

When data is represented by symbols, mathematical statements are easier to comprehend. For all real numbers, the four fundamental arithmetic operations in mathematics are:

+ Addition

Subtraction (-) (-)

Multiplication (x) (x)

() Division

Why are you referring to my multiplication issue?

As we proliferate, there are more elements in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result. The multiplication formula is represented as Multiplicand x Multiplier = Product. The first figure is multiplicand (factor). the multiplier following figure (factor). The outcome of multiplying the multiplicand and multiplier is the product.

3 x 1 , shows a multiplication signs between them.

which signifies It is a multiplication problem with result 3.

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The graph shown here is the graph of which of the following rational
functions?

Answers

Answer:

The correct option is C.)

Reasoning:

Looking at the graph, the function has two vertical asymptotes at x=-2 and x=1. This means that the function can not have a domain value of x=-2 or x=1 because these domain values would create a denominator of 0, and division by zero is undefined. Thus, the vertical asymptotes create a “barrier,” meaning the function will never intersect these lines because the domain can never be x=-2 and 1, so it will never produce a y-coordinate for these values.

If we look at what equations from a denominator of 0 with domains of x=-2 and 1, choice C.) is correct:

When x=-2

f(x)=1/(-2+2)(-2+1)

f(x)=1/0•-1

f(x)=1/0 ——> Undefined

When x=1:

f(x)=1/(1+2)(1-1)

f(x)=1/3•0

f(x)=1/0 ——> Undefined

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What can good debt do to your credit score?
Responses

nothing
increase it
negatively affect it
decrease it

Answers

The effect of good debt to ones credit score is that is would increase it. That is option B.

What is a credit score?

A credit score is defined as the expression that can be used to show a customer's worth regarding the payment of their debts.

A customer's credit score can be rated as follows:

Bad

Fair

Good or

Excellent credit score.

A good debt is the ability of a customer to quickly pay off their debt which has been noted as one of the qualities that raise their credit score.

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find the length of the arc of the curve from point p to point q. x2 = (y − 4)3, p(1, 5), q(8, 8)

Answers

The length of the arc of the curve from point p to point q of the equation  x2 = (y − 4)3 as calculated is 8 units.

as to calculated  the length of the arc we will differentiate the given equation x² = (y-4)³ with respect to y

=> 2x = 3( y - 4 )²

=> 2x = 3( y²  -8y + 16)

=> 2x = 3 y²  - 24y + 48

=> 3 y²  - 24y + 48 - 2x = 0

now , x = 5 - 1 = 4

y = 8 - 1 =7

Therefore, length = 3 x 8²  - 24 x 8 + 48 - 2x 4 = 0

=192 - 192 - 8 = -8

On taking modulus we get the length as 8 units.

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How many cells in Excel 2022?

Answers

Number of Rows per Worksheet: 1,048,576. Number of Rows per Worksheet: 16,384. Total cells per Worksheet: 17,179,869,184.

Now, According to the question:

The specifications for Excel Worksheet current versions include: Number of Rows per Worksheet: 1,048,576. Number of Rows per Worksheet: 16,384. Total cells per Worksheet: 17,179,869,184.

How many sheets can Excel have?

Set default number of worksheets

It means you can set the number of how many worksheets initially be in a workbook. Inside the General options, you will find an option "Include this many sheets". You can change it to between 1 to 255. Step 1: First of all, open MS Excel and create a new workbook.

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Solve for k.
k² - 19k - 20 =0

Answers

Answer:

k = -1, 20

Step-by-step explanation:

k² - 19k - 20 = 0

k² + 1k - 20k - 20 = 0  ==> 1 * (-20) = -20   and   -20 + 1 = -19

k² + k - 20k - 20 = 0  

k(k+1) - 20(k+1) = 0   ==> factor and simplify

(k-20)(k+1) = 0

k-20=0  ==> k=20

k+1=0  ==> k=-1

k = -1, 20

Answer:

k² - 19k - 20

(k-20) (k+1) = 0

k-20 = 0

k=20

k+1 = 0

k= -1

k= 20 and -1

What is the side included between the ∠ LMN and ∠ LNM of ∆ LMN?

Answers

Line MN is the side in between the 2 angles which are ∠LMN and ∠LNM in triangle △LMN.

What do we mean by sides in maths?

An edge is a specific kind of line segment that connects two vertices of a polygon, polyhedron, or higher-dimensional polytope in geometry.

An edge, also known as a polygon side, is a line segment that forms the boundary of a polygon.

The sides of the angle are the two straight lines that unite to make it.

The intersection of two lines or rays that make an angle is known as its vertex.

So, according to the given figure, the side between ∠LMN and ∠LNM in triangle △LMN is side MN.

Therefore, line MN is the side in between the 2 angles which are ∠LMN and ∠LNM in triangle △LMN.

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The odds in favor of an event are 3 to 4. What is the probability of the event?
37

Answers

The probability from the odds is 3/7

How to determine the probability?

The value of the odds is given as

Odds = 3 to 4

Represent the odds as a fraction

So, we have the following representation

Odds = 3/4

To convert the odds to probability, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

Probability = (3/4)/(3/4 + 1)

Evaluate the sum

Probability = (3/4)/(7/4)

Evaluate the quotient

Probability = 3/7

Hence, the probability is 3/7

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A ball is thrown into the air. Its height in
feet after t seconds is given by the
function h(t) = −5t² + 20t. How high will
the ball be after 3 seconds?

Answers

Answer:

15 ft

Step-by-step explanation:

h(t) = −5t² + 20t (Given)

We need to find: height of the ball after 3 seconds.

So, plug t = 3 in the above equation, we find:

h(3) = −5(3)² + 20(3)

->h(3) = −5(3)² + 20(3)

->h(3) = −5(9) + 60

->h(3) = −45 + 60

->h(3) = 15 feet

The intersection of Beech Street and fourth Street is 150 yards east of the intersection of Fort Street and Clover Street how many yards south is it

Answers

The amount of yards south that the intersection of Fort Street and Clover Street is given as follows:

450 yards.

How to obtain the slope?

The slope of an inclined object is obtained as the division of the vertical distance of the street by the horizontal distance of the object.

The distances are classified as follows:

Vertical: south is negative, north is positive.Horizontal: west is negative, east is positive.

The slope of the street is given as follows:

-3.

The east distance is given as follows:

150 yards.

Thus the south distance can be identified applying the slope as follows:

-3 = S/150

S = -3 x 150

S = -450 yards.

The negative number represents that the direction is south, hence the distance is only of 450 yards.

Missing Information

The problem is given by the image shown at the end of the answer.

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Use the drop-down menus to identify the domain and range of each function below.

drop down menu is the same for all
ANSWER ASAP I NEED HELP!!!

Answers

The domain and range of g(x) = |x - 3| are all real numbers and all positive real numbers while the domain and range of the function h(x) = x - 3 are all positive real numbers.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

As per the given function,

g(x) = |x - 3|

Since it is a mode function thus the value of the function will always positive.

Thus, the range will be [0, ∞) or all positive real numbers.

In the function h(x) = x - 3 here we have negative real numbers as well as positive thus the range of it will be all real numbers.

Hence "While the domain and range of the function h(x) = x - 3 are all positive real numbers, those of g(x) = |x - 3| are all real numbers and all negative real numbers.".

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How do you tell if a triangle is similar or congruent?

Answers

When the sides and angles of two triangles match that triangle is congruent and When the angles of two triangles match that triangle is similar.

When the sides and angles of two triangles match, the triangles are said to be congruent. When the angles of two triangles match, the triangles are said to be similar. Thus, two triangles can be superimposed side to side and angle to angle.

Hence, when the sides and angles of two triangles match that triangle is congruent and When the angles of two triangles match that triangle is similar.

If two triangles have an equal number of comparable angles and sides, they are said to be similar. Similar figures are items that have two or more figures with the same shape but varying sizes.

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How do you solve a system of three equations in two variables?

Answers

Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable.

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z)  is called an ordered triple.

To find a solution, we can perform the following operations:

Interchange the order of any two equations.Multiply both sides of an equation by a nonzero constant.Add a nonzero multiple of one equation to another equation.

Graphically, the ordered triple defines the point that is the intersection of three planes in space. You can visualize such an intersection by imagining any corner in a rectangular room. A corner is defined by three planes: two adjoining walls and the floor (or ceiling). Any point where two walls and the floor meet represents the intersection of three planes.

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8. Given f(x)= a(x-h)² + k is the vertex form of a parabola.
If a < 0, h> 0 and k < 0, then which of the following are true?
I. The vertex of f(x) Is In quadrant 2
II. The vertex of f(x) is in quadrant 4
III. f(x) has no x-intercepts
IV. f(x) has no y-intercepts
A. I and IV
B. II and IV
C. I and III
D. II and III

Answers

For the given statement f(x)= a(x-h)² + k is the vertex form of a parabola.

If a < 0, h> 0 and k < 0 Option B is correct.

Vertex of a Parabola

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.  If the coefficient of the x2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.

Given that:

f(x)= a(x-h)² + k

If a < 0, h> 0 and k < 0 then

f(x) = -1 (x - 1)^2 - 1

     = -1([tex]x^{2} + 1^{2} - 2x[/tex]) - 1

     =  [tex]-x^{2} -1 + 2x[/tex] - 1

f(x) = -([tex]x^{2} - 2x + 2[/tex])

while making graph using the equation , we can find the vertex of f(x) is in quadrant 4 and  has no y-intercepts.

Thus , the option B is correct.

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does anyone know this?!?

Answers

The answers for the given proof of a parallelogram are explained below:

What is a parallelogram?

A parallelogram is a straightforward (non-self-intersecting) quadrilateral in Euclidean geometry that has two sets of parallel sides. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size. The Euclidean parallel postulate, or one of its equivalent formulations, is a necessary precondition for both the congruence of opposite sides and opposite angles, and neither condition can be demonstrated without using it. In contrast, a quadrilateral with just one set of parallel sides is referred to as a trapezoid or trapezium in British or American English. A parallelepiped is the parallelogram's three-dimensional counterpart.

1) CPCTC(corresponding parts of congruent triangles are congruent)

2) Reflexive property

3) Corresponding angles theorem converse(If corresponding angles are equal then the lines are parallel)

4) Alternative angles theorem converse(If alternative angles are congruent then the lines are parallel)

5) SSS

6) Given.

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How do you find discontinuity?

Answers

There are a few ways to find discontinuities in a function. One way is to look for places where the function is not defined or where it produces an undefined result, such as division by zero. Another way is to look for places where the function exhibits a sudden change in behavior, such as a jump or a sharp turn.

To find discontinuities more formally, you can use mathematical techniques such as limits or derivatives. If you are familiar with these concepts, you can use them to identify discontinuities in a function.

For example, if you are trying to find the discontinuities of a function f(x), you can consider the limit of the function as x approaches a certain value, say x=c. If the limit of the function as x approaches c from both the left and the right is different, then there is a discontinuity at x=c. Similarly, if the derivative of the function is not defined at a certain value of x, then there is a discontinuity at that point.

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if you are trying to find the discontinuities of a function f(x), you can consider the limit of the function as x approaches a certain value, say x=c. If the limit of the function as x approaches c from both the left and the right is different, then there is a discontinuity at x=c. Similarly, if the derivative of the function is not defined at a certain value of x, then there is a discontinuity at that point.

How to calculate the variance in R?

Answers

According to the distribution , The general formula for the variance varies, For the discrete and continuous probability distribution, The expected values formula varies. The variance is given by   [tex]E(X^2)-(E(X))^2[/tex] .

What do you mean by random variable?

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

If distribution is discrete  , E(X) = x*P(x).

If distribution is continuous , E(x) = x *f(x).

Variance = [tex]E(X^2)-(E(X))^2[/tex]

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Amelie needs 2 3/8 cups flour for one recipe and 1 1/3 cups of flour for another recipe.

How many cups of flour does Amelie need in all?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

2 3/8 + 1 1/3        (LCD is 24)

= 2 9/24 + 1 8/24

= 3 17/24 cups

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Answer:

3 17/24

Step-by-step explanation:

2 3/8  + 1  1/3

2 3/8 = 19 /8

1 1/3 = 4/3

The common factor is 24

57/24 + 32/24 = 89/24

89/24 = 3 17/24

Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.

Answers

1.) The triangles are similar by the Side-Side-Side Similarity Postulate, since their corresponding sides are proportional. So, triangle ABC is similar to DEF.

2.) The triangles are similar by the Angle-Angle Similarity Postulate. So, triangle XYZ is similar to MYN.

3.) The triangles are similar by the Side-Angle-Side similarity postulate, since PQR must be enlarged by k=1.5 to overlap STU, thus they proportional and contain one corresponding congruent angle. So, triangle STU is similar to PQR.

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A line has a slope of. If one of the points on the
line is (-10, -16), which of the following could be
another point on the line? Show work.
a) (-5, -6) b) (4, 11) c) (0, 2)
d) (10, 22)
Which pair could be used

Answers

Another point on the line is (0,2).

The equation of a line, in point-slope form, is given by:

[tex]$$y-y_0=m\left(x-x_0\right)$$[/tex]

In which [tex]$\mathrm{m}$[/tex]is the slope and the point is [tex]$\left(x_0, y_0\right)$[/tex]

Slope of [tex]$9 / 5$[/tex] if one of the points on the line is [tex]$(-10,-16)$[/tex]

This means that [tex]$m=\frac{9}{5},\left(x_0, y_0\right)=(-10,-16)$[/tex]. So

[tex]$$\begin{aligned}& y-y_0=m\left(x-x_0\right) \\& y-(-16)=\frac{9}{5}(x-(-10)) \\& y+16=\frac{9}{5}(x+10)\end{aligned}$$[/tex]

Which of the following could be another point on the line?

We have to find a point for values of [tex]$x$[/tex] and [tex]$y$[/tex] which gives us an identity. So

x=-5, y=-6

Lets see

[tex]$$\begin{aligned}& -6+16=\frac{9}{5}(-5+10) \\& 10=\frac{9 * 5}{5} \\& 10=9 > \text { False }\end{aligned}$$[/tex]

So this is not the answer.

[tex]$$\begin{aligned}& x=4, y=11 \\& 11+16=\frac{9}{5}(4+10) \\& 27=9 * 14 / 5\end{aligned}$$[/tex]

False

Option C:

[tex]$$\begin{aligned}& \mathrm{x}=0, \mathrm{y}=2 \\& 2+16=\frac{9}{5}(x+10) \\& \frac{90}{5}=18 \\& 18=18\end{aligned}$$[/tex]

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Write an equation of the line with the given slope and y-intercept.

m = 0; (0, 2)
Group of answer choices

A. x = 2

B. y = 0

C. y = 2x

D. y = 2

Answers

Answer:

D. y = 2

Step-by-step explanation:

It can't be A because this is the equation for the slope is undefined.

It can't be B because this equation has no y-intercept!

It can't be C because the equation is y=mx + b. And we see that this equation has a slope of 2, so it is wrong.

So, the answer is D

Did 8 is a prime number?

Answers

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number, 8 is divisible by 2 and 4 other than itself and 1, so 8 is not a prime number.

What is a prime number?

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

what is whole number?

Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction.

factor of 8 = 2x2x2,

since 8 is divided by 2, so it is not a prime number.

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Select the methodology that would result in a subjective probability....
Dividing the number of favorable events by the number of possible events.
Studying the fraction of times in the past a particular event has happened.
Weighing the available information and assigning a probability.

Answers

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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La Isla de la Espaola es tan importante porque ________. tiene una riqueza y naturaleza est en el Caribe la expansin espaola empez ah tiene un clima tropicalQuestion 13(Multiple Choice Worth 1 points)(02.01 MC)Lee el prrafo y escoge la opcin que contesta la pregunta. Read the paragraph and choose the option that answers the question.El pas tiene un paisaje magnfico. Tambin, hay una isla que pertenece a este pas donde puedes hacer un tour de unas estatuas antiguas. No debes perdrtelo, es increble. Este pas tiene montaas cubiertas de nieve con el Parque de las Torres, uno de los ms populares.What country is the narrator describing in the reading? Chile Argentina Panama Costa RicaQuestion 14 (Matching Worth 4 points)(02.05 MC)Escucha y empareja el audio con el mandato correcto. Listen and match the audio with the correct command. Tu profesora te llama. Escucha y dale consejos.Audio 01: Audio 02: Audio 03: Audio 04: Match Term DefinitionAudio 01 A) No vaya sin compaeros.Audio 02 B) Solo lleve las que necesita.Audio 03 C) Pruebe los platos tradicionales.Audio 04 D) Solo pngase sandalias a la playa.Question 15(Multiple Choice Worth 1 points)(02.01 MC)Escucha y escoge la mejor respuesta para completar la frase. Listen and select the best answer to complete the sentence.Qu debo hacer para poder pagar por el taxi? Debo ________. alquilar un carro ir al cambio de moneda tomar un tren pagar con tarjeta de crditoQuestion 16(Multiple Choice Worth 1 points)(02.05 LC)Escoge la mejor respuesta para escribir un mandato. Select the best answer to complete the command.Estudiantes, no ________ los papeles importantes en el equipaje. guardar guardan guarden guardesQuestion 17(Multiple Choice Worth 1 points)(02.02 HC)Escucha y escoge la mejor respuesta para contestar la pregunta. Listen and select the best answer to answer the question.Escucha el mensaje que tu amiga Lucy deja en tu telfono.Cul es el mejor consejo para tu amiga? Hola, divirtete y es buena idea vestir en capas. Hola, divirtete, pero lleva ropa ms casual. Hola, divirtete pero lleva ropa muy modesta. Hola, divirtete y es buena idea llevar ropa ms caliente.Question 18(Multiple Choice Worth 1 points)(02.03 MC)Lee y escoge la mejor respuesta. Read and select the best answer.Todo comenz cuando yo decid aventurarme y conocer una de las 7 maravillas del mundo, las Cataratas del Iguaz. La verdad es que siempre haba escuchado que son una maravilla. Hay muchas personas que vuelven varias veces a ver las cataratas. Es un lugar donde siempre hay que volver. Muchas personas vuelven para encontrarse a ellas mismas y estar en frente de Dios. Yo s que no ser la nica vez que disfruto de esta maravilla.Las Cataratas del Iguaz, ArgentinaLas Cataratas del Iguaz, Argentina PDTillman 2010Creative Commons Attribution 2.0 GenericSegn la lectura, por qu son populares las Cataratas del Iguaz? Las Cataratas del Iguaz son populares porque ________. no cuestan mucho dinero son una experiencia inolvidable estn en Argentina son sagradasQuestion 19(Multiple Choice Worth 1 points)(02.01 LC)Escoge las formas correctas de los verbos usando el futuro. Select the correct forms of the verbs using the future tense.Durante sus vacaciones en Panam, Esteban y Juana ________(salir) al sitio arqueolgico en viejo Panam y ________(mirar) ruinas histricas. salirn, miran saldrn, mirarn salieron, miraron saldremos, miraremos 5. How does paragraph 4 contribute to thedevelopment of ideas in the text? Writing response What is significant about Great Zimbabwe's architecture? What is the GCF of 4 and 28? What are the 3 criteria of establishing cause and effect relationship in research design? The figure shows a loading dock and a side view of an attached ramp, whose run is 12 feet and whose rise is 39 inches. Alex is wondering whether a long rectangular box can be stored underneath the ramp, as suggested by the dotted lines. The box is 2 feet tall and 5 feet long. Answer Alexs question. What is another name for muzzleloader? What is the horizontal asymptote of 4x 7? Explain, in detail, one thing that you learned about D-day landing. What is the formula s2? What is the purpose of autonomous vehicles and what impact will they have on society? Suppose that f(x) = x and g(x)=2/5x. Which statement best compares thegraph of g(x) with the graph of f(x)?A. The graph of g(x) is the graph of f(x) compressed vertically.B. The graph of g(x) is the graph of f(x) stretched vertically.C. The graph of g(x) is the graph of f(x) compressed vertically andreflected over the x-axis.OD. The graph of g(x) is the graph of f(x) stretched vertically andreflected over the x-axis. Is it important to get correct information Why? Please help if anyone has read Macbeth. Ill mark brainliest if I get one or two answers How many real solution are there in equation[tex]\frac{(x-2)(x-3)}{(x-3)(x-4)} =-1[/tex] Which of the following is NOT one of the top five qualities that college students rate as the most positive characteristic of people they would want to be friends or romantically involved with?a.honestb.intelligentc.loyald.sincere Use the information in the table below to respond to the statements and questions that follow. Your answers should be in terms of principles of molecular structure and intermolecular forces. a) Draw the complete Lewis electron-dot diagram for ethyne in the appropriate cell in the table below. (1) Compound Ethanethiol Formula CH3CH2SH Ethane CH3CH3 Lewis Electron Dot Diagram HH H:C:C:S:H HH HH H:C:C:H HH HH H:C:C:0:H HH Ethanol CH3CH2OH Ethene CzH b) Which of the four molecules contains the shortest carbon-to-carbon bond? Explain. [2] c) Explain how the structure of the molecules affects the energy that is required to boil ethanol. Consider the statement " As ethanol boils energy goes into breaking C-C bonds, C-H bonds, C-o bonds and O-H bonds." Is the statement true or false? Justify your answer. [2] d) Ethanol is completely soluble in water, whereas ethanethiol has limited (significantly less) solubility in water. Account for the difference in solubilities between the two compounds in terms of intermolecular forces. [2] How does finding the square root of a number compare? What will be the ratio of rate of diffusion between o2 and h2? Express 40 g as a percentage of 2 kg.