What is the line x =- 4?

Answers

Answer 1

The line x= -4 is a vertical line passing through x-axis.

It is a distance of 4 units from the x-axis and is parallel to the y-axis.

Vertical Line in a coordinate plane refers to a line that is perpendicular to the Y-axis. From top to bottom and from bottom to top, it is a straight line. The x-coordinate of every point along this line will be the same. The points of vertical lines include, for instance, (2,0), (3,0), (-4,0), etc. Similar to this, a horizontal line is a line that runs parallel to the x-axis from left to right.

There is no slope to the vertical lines. It follows the y-axis parallel, hence the slope is not known. As a result, the equation for the vertical line that at any point, let's say 'a', crosses the x-axis is:

x = a

where x is a point on the line's coordinate.

To learn more about Vertical lines:

https://brainly.com/question/1821791

#SPJ4


Related Questions

567854+98723=?

Let's see who knows the correct answer

Answers

Answer: 666,577

Explanation:

6x + 11= 21 tape diagram

Answers

Answer:

x = 5/3

Step-by-step explanation:

6x + 11 = 21

6x = 10

x = 10/6

x = 5/3

Let's check

6(5/3) + 11 = 21

30/3 + 11 = 21

10 + 11 = 21

21 = 21

So, x = 5/3 is correct!

Is a solution of pair of equations 3x 2y 4 and 2x y 5?

Answers

The solution of this pair of equations is (2, 3).

To solve this pair of equations, we can use the substitution method.

First, we solve the first equation for y:

3x + 2y = 4

2y = 4 - 3x

y = (4 - 3x) / 2

Next, we substitute this expression for y in the second equation:

2x + (4 - 3x) / 2 = 5

2x + 2 - 3x = 10

-x = 8

x = -8

Finally, we substitute this value for x in the expression for y to find the value of y:

y = (4 - 3(-8)) / 2

y = (4 + 24) / 2

y = 28 / 2

y = 14

Therefore, the solution of this pair of equations is (x, y) = (-8, 14).

Learn more about pair of equations here:

https://brainly.com/question/8307359

#SPJ4

What is the result of adding the system of equations 2x y 4 3x y 6?

Answers

The addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be [tex]5x+y^4+y^6[/tex]

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Simply add the coefficients of each phrase to add polynomials.

You may remove polynomials by subtracting the coefficients.

To add polynomials, just combine any like terms.

Step 1: Arrange each polynomial in decreasing order of degree, starting with the term with the highest degree.

Step 2: Sort the words that are similar. Similar phrases have the same variables and exponents.

So, the addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be (2x+3x) (As here both are only the like terms, so they will be added together)

So, the sum will be: [tex]5x+y^4+y^6[/tex]

For more questions on Addition of polynomials:

https://brainly.com/question/4420925

#SPJ4

The correct question should be:

What is the result of adding the system of equations:

[tex]2x+y^4[/tex] and [tex]3x+y^6[/tex]

A company is loading recliners and sofas onto a trailer that has a volume of about 3800 cubic feet. Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet. The company wants the shipment to have at least 30 recliners and more than 25 sofas. Identify and interpret the ordered pair in the solution region.

Answers

The ordered pair that would be needed by the company for shipment can be loaded in the trailer as the pair will take only 3200ft³ of the volume of the trailer which is 3800 cubic feet.

How to calculate the ordered pair for shipment?

The total volume of the trailer = 3800 cubic feet

The volume of each recliner = 40 cubic feet

The volume of each sofa = 80 cubic feet

The number of recliner needed = 30

The number of sofas needed = 25

The volume that the sofa will cover = 25 × 80 = 2000

The volume that the recliner will cover= 30 × 40 = 1200

Therefore the total volume both will take = 3200 cubic feet.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ1

The sum of three palm tree heights range from 32 to 42 feet. The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet, write and solve a compound inequality to show the possible heights of the third tree.


A. 8 ≤ x ≤ 16
B. 8 ≤ x ≤ 18
C. 32 ≤ x ≤ 42
D. 56 ≤ x ≤ 66

Answers

The compound inequality that shows the possible heights of the third tree is 8 ≤ x ≤ 18

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet, hence:

Sum of three palm tree heights = x + 8 + 16 = x + 24

The sum of three palm tree heights range from 32 to 42 feet. Hence:

32 ≤ x + 24 ≤ 42

32 - 24 ≤ x ≤ 42 - 24

8 ≤ x ≤ 18

The solution to the compound inequality is 8 ≤ x ≤ 18

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

Write two equations that can be solved using the double 7+7

Answers

Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.

What is Doubles plus ?

When we add two of the same number, we add using the “doubles fact”. For example, 1 + 1 and 2 + 2 are both doubles facts. Look at the example below: 4 + 4 = 8 is a doubles fact. Doubles fact can help us know other additional strategies like doubles plus one

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself we say that the number is doubled

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.

Learn more about doubles plus here: brainly.com/question/29546627

#SPJ1

Is the interval 0 to infinity open?

Answers

So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.

In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers

the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).

Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.

Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff.

So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.

To learn more about intervals:

https://brainly.com/question/13708942

#SPJ4

need help with this screenshot

Answers

The quadratic equation in vertex form is y = -(x - h)² + k

The parabola passed through points (-1, -3), (0, 0), (1, 1), (2, 0) and so on

How to write the equation of parabola in vertex form

For a vertical parabola, the vertex form of the equation is written as

y = a(x - h)² + k    

where:

a = 1/4p

h and k are points of the vertex = v(h, k)

The vertex

v (h, k) = (1, 1)

h = 1

k = 1

y = a(x - 1)² + 1  

using point (0, 0)

0 = a(0 - 1)² + 1

-1 = a

hence a = -1  

the equation is written as y = -(x - h)² + k  

The points the graph passed is read from the graph to be

(-1, -3), (0, 0), (1, 1), (2, 0) and so on

Learn more about vertex of quadratic equations at:

https://brainly.com/question/29244327

#SPJ1

What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.

Answers

The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.

What is the maximum possible quotient of any pair of numbers from the set?

It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.

On this note, since the quotient which is to be maximised is hypothetically; x / y;

To maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.

On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;

10 / (2 / 5)

= ( 10 × 5 ) / 2

= 25.

Ultimately, the greatest possible quotient as required is; 25.

Read more on quotient of two numbers;

https://brainly.com/question/17443983

#SPJ1


Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Four hemispheres are present in the shaded area. One large hemisphere and three smaller hemispheres each have a radius of 18 cm.

What is the perimeter of the hemisphere's formula?

Consequently, the hemisphere's total surface area is 3(pi)R2. A semicircle has a curved line and a straight line that are both equal to the circle's diameter. The curving line is 2R in length while the straight line is (pi)R in length. So, 2R + (pi)R is the semicircle's total perimeter.

The shaded regions' area is calculated as follows:

initially, area of a hemisphere = 2r2 square units

the area of three small hemispheres

(2*3.14*6 r).3 = 226.08 cm2

Area of the larger hemisphere

2*3.14*18^2 = 2034.72cm^2

Total area of the shaded regions = 226.08 + 2034.72 = 2260.8cm^2

To know more about hemispheres visit :-

https://brainly.com/question/12169868

#SPJ1

The sixth-grade class is holding a week long fund-raiser. The class set a goal of raising $700. 0. So far they have raised $176. 95. Write an equation that can be used to solve for x, the amount of money the class still must raise to meet their goal

Answers

An equation that can be used to find the value of,x=$700.0 - $176.95.

What is an equation ?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it.

According to our question-

x= $700.0 - $176.95

523.05

Hence, An equation that can be used to find the value of,x=$700.0 - $176.95.

learn more about equation click here:

https://brainly.com/question/2972832

#SPJ4

Work with a partner. Every equation that has an unknown variable can be written as a question. Choose the question that represents the equation. Then answer the question.

$x\div5=3$

Responses

Answers

Answer:

x + 5 = 10

Step-by-step explanation:

what is the coefficient for x in 8+ x/2 ​

Answers

Answer: x= 8+ x over 2 = x over 2 + 8

Step-by-step explanation:

The coefficient b and c in the equation x^2bxc=0 are alo the root of that equation (c≠0)

Answers

[tex]x^2[/tex] - (b+c)x +bc=0  is the quadratic equation whose roots are b,c.

If the roots of a quadratic equation are given, the equation can be written by factoring the equation using the roots.

Given the roots, let's say r1 and r2, the quadratic equation can be written as (x - r1)(x - r2) = 0.

Expanding the above equation x^2 - (r1 + r2)x + r1r2 = 0

Therefore, if the roots of a quadratic equation are given as r1 and r2, the quadratic equation can be written as:

x^2 - (r1 + r2)x + r1r2 = 0

since we are given that the root of the equation are b,c;

so r1=b,r2=c;

putting the value in the above equation we get the equation with b and c as root:

[tex]x^2[/tex] - (b+c)x +bc=0

To know more about quadratic equation click on below link:

https://brainly.com/question/30098550#

#SPJ4

Complete question :

The coefficient b and c in the equation [tex]x^2+bx+c[/tex] is also root of another equation where c≠0 .

please write the equation

helpp pleaaaaaaaaaseee​

Answers

The linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)

6x + 2y = 60 (the equation representing the total cost of Rew)

and the solution would be x = 8, y = 6.

What is a system of linear equations?

A system of linear equations is a set of two or more linear equations that describe a relationship between multiple variables. The variables in each equation are related to each other, and the solution of a system of linear equations is the set of values that satisfy all of the equations in the system.

In this case, since Kent and Rew each bought the same amount of boondins and hopts, we can use the same variable names (x for boondins and y for hopts) for both of them. We can use this information to write two equations to model the relationship between the amounts of boondins and hopts that Kent and Rew bought:

4x + 5y = 62 (the equation representing the total cost of Kent)

6x + 2y = 60 (the equation representing the total cost of Rew)

This system of linear equations is called a system of two equations in two variables.

Hence, the linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)

6x + 2y = 60 (the equation representing the total cost of Rew)

and the solution would be x = 8, y = 6.

To learn more about the system of linear equations, visit:

https://brainly.com/question/24085666

#SPJ1

Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket. He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game

Answers

The regular price of a ticket to the game was $204.00.

We can use algebra to solve the problem. Let x be the regular price of a ticket to the game.

We know that the group rate saved Mason $5.75 per ticket, so the regular price of a ticket is x + $5.75.

We know that Mason bought 16 tickets and paid a total of $296.00, so we can set up the following equation:

x + $5.75 = (x + $5.75) * 16 = 16x + $92

So the regular price of a ticket is x = $296.00 - $92 = $204.00

Therefore, the regular price of a ticket to the game was $204.00.

To learn more about algebra, visit:

brainly.com/question/19447945

#SPJ4

How to get the awnser

Answers

The slope and the y-intercept of the linear function in this problem are given as follows:

Slope: -2.y-intercept: 6.

The equation of the linear function in this problem is given as follows:

y = -2x + 6.

What is a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

m is the slope, representing the rate of change of the linear function.b is the y-intercept, representing the value assumed by the linear function when x assumes a value of zero.

From the table, we have that when x = 0, y = 6, hence the intercept b is given as follows:

b = 6.

When x increases by one, y decays by two, hence the slope m of the linear function is given as follows:

m = -2.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Find the value of x.
Use statement and reason format.

Answers

By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.

How to find the value of x?

Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.

Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:

2x + 90° + N = 180°

And we also can write the linear equation:

105° + 45° + N = 180°

Solving this one, we can find the value of N.

N = 180° - 45° - 105°  =30°

N = 30°

Replacing that in the equation with x we will get:

2x + 90° + 30°  =180°

2x = 180° - 90° - 30°

2x = 60°

x = 60°/2 = 30°

The value of x is 30°.

Learn more about interior angles by reading:

https://brainly.com/question/24966296

#SPJ1

"Suppose Dave purchases a puzzle having 650 pieces. Predict the lenght of time it will take him to compleate the puzzle."​

Answers

a) Attached at the end.

b) Strong positive linear correlation.

c) The length of time is 220 minutes.

What is Scatter plot?

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Given:

a) The Scatter plot Associated with data is attached below.

b) The Scatter plot shows the positive linear correlation between number of pieces in a jigsaw puzzle and time required for a person to complete it.

c) To complete the puzzle with 650 pieces it will take 220 minutes.

Learn more about Scatter plot here:

https://brainly.com/question/29231735

#SPJ1

Answer:

a)  See attachment.

b)  Strong positive correlation.

c)  247 minutes

Step-by-step explanation:

Part a

Plot the points from the given table on the given coordinate plane.

Draw a line of best fit.

(See attachment).

Part b

As the line of best fit has a positive gradient, the two variables are positively correlated.

As the line of best fit lies close to most of the points, this indicates there may be a strong correlation.

Part c

To predict the length of time it will take Dave to complete a 650-piece puzzle, locate 650 on the x-axis of the scatter plot, trace up to the line of best fit and read the y-value:

(650, 247)

Therefore, it will take Dave approximately 247 minutes to complete a 650-piece puzzle.

What is the greatest two-digit multiple of 13

Answers

Answer:

Step-by-step explanation:

91

As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.

11. One side of a kite is 2 cm less than 2 times the length of another. If the perimeter is 38 cm, find the length of each side of the kite. (show work)

Answers

Answer:

Step-by-step explanation:

good

Solution :

Given that,

Perimeter of kite -  38 cm

Let "x" be the one side of kite

Both of the top sides are equal

Therefore, other side = x

One side of a kite is 2 cm less than 2 times the length of another

Therefore,

One of bottom side = 2x - 2

Bottom sides are also equal

Thus, other bottom side = 2x - 5

We know that,

Perimeter = sum of all sides

38 = x + x + 2x - 2 + 2x - 2

38 = 6x - 4

6x = 38 + 4

6x = 42

x = [tex]\frac{42}{6}[/tex]

x = 7

Thus length of each side of kite is:

x = 7

2x - 2 = 2(7) - 2 = 14 - 2 = 12

Thus length of each side of kite is 7 cm , 7 cm , 12cm , 12cm

Please Brainliest

Can someone explain to me how to do this?
solve × ÷ - 2 = 7
x = ?​

Answers

Answer: -14

Step-by-step explanation:   When you have a problem like this all you do in multiply the answer and the number your given.

 7x-2 that would by -14

You want to check your answer by changing X for -14 and you solve from there. Plus 2 negatives equal a positive.

Hope this helps!

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


[tex]\mathsf{\dfrac{x}{-2} = 7}[/tex]

[tex]\text{Multiply } \rm{ -2}\text{ to both sides}[/tex]

[tex]\mathsf{\dfrac{x}{-2}\times -2 = 7\times -2}[/tex]

[tex]\text{Simplify it}[/tex]

[tex]\mathsf{x = 7\times -2}[/tex]

[tex]\mathsf{x = -14}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = -14}}\huge\checkmark[/tex]



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


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

What word is used to remember the 3 trigonometric ratios?

Answers

The word used to remember the 3 trigonometric ratios sine, cosine, and tangent is SOH-CAH-TOA

We know that in right triangle for an angle θ, the trigonmetric ratios are:

sin(θ) = opposite side of θ/ hypotenuse

cos(θ) = adjacent side of θ / hypotenuse

tan(θ) = opposide side of θ / adjacent side of θ

cot(θ) = 1/tan(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

The word 'SOH-CAH-TOA' is used to remember the sine, cosine, and tangent ratios in a right triangle.  

SOH means, Sine = Opposite side / Hypotenuse.

CAH means, Cosine = Adjacent side / Hypotenuse.

TOA means, Tangent = Opposite side / Adjacent side

Learn more about the trigonmetric ratios here:

https://brainly.com/question/25122825

#SPJ4

Gorilla
Sophia
George
Nancy
Hank
Paula
Gavin
Weight
(pounds)
318
417
310
136
62
24
Plugged
into
3c+9=417
True or
False?

Answers

False pls give Brainly

The function

h

defined by

h(t) = (49 + 4. 9t)(10 – t)

models the height, in meters, of an object

t

seconds after it is dropped from a helicopter.

1. Find or approximate the time when the object hits the ground. Explain or show your

reasoning

2. From what height is the object dropped? Explain or show your reasoning.

Answers

Answer:

55555555546776546567

A woman has 23 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.10, how many
dimes and how many quarters does she have?

Answers

Answer:

Step-by-step explanation:

there is 1 dime and 12 quarters

Write the coordinates of the vertices after a rotation 90 degrees counterclockwise around the origin.

Answers

Answer: J' (8, -9); K' (8, -2); L' (3, -2); M' (3, -9)

Step-by-step explanation:

A rotation of 90 degrees counterclockwise is (x, y) -> (-y, x), so

J (-9, -8) -> J' (8, -9)

First, you take negative 8 (y) of J and make it positive 8 for the x of J'. Then, take -9 (y) of J and switch it to x of J'.

You repeat this process for the rest of the points. X switches to Y with the opposite sign and Y switches to X but stays the same.

K (-2, -8) -> K' (8, -2)

L (-2, -3) -> (3, -2)

M (-9, -3) -> (3, -9)

write as complete square root 3√5​

Answers

It’s exact form is square root 15 in decimal form it’s 3.87298334

Can u please helppppppppp

Answers

Answer:

Draw a vertical line that goes through the point given.  This will make the two lines perpendicular.  The line given is horizontal, a vertical like would be 90° o the horizontal line.

Step-by-step explanation:

Other Questions
What is the main idea of Mendel's principle of independent assortment? Write the equation of the perpendicular bisectors of the line AB given: A(1,3) & B(-3,5) Approximately 1.5 minutes of intense exercise will obtain ATP mostly from which process (think sprinting):a. ATPb. Anaerobic glycolysisc. Phosphocreatined. Aerobic glycolysis 3.The Impact of the Atlantic Slave Trade on the New WorldWhatever the effect of slavery on Africa, there can be no doubt that black slaves [enslaved Africans]played a crucial part in the economic development of the New World, above all by making up forshortages of labour. The arrival of Europeans in the Americas had brought diseases that decimated[destroyed] local populations, which reduced the potential for securing labour from that source; and oftentoo few Europeans chose to migrate to the Americas to meet the demand for labour. This was particularlytrue in Brazil and the Caribbean, where people of African origin became by far the largest section of thepopulation; it was also the case in parts of North America, although here white people outnumbered blackpeople.Black slaves were especially important as a labour supply for the "plantation" agriculture that developedin the New World, first in Brazil, and later in the Caribbean and the southern parts of North America. Theplantation system had begun in medieval times on Mediterranean islands such as Crete and Cyprus - itwas an unusually sophisticated form of agricultural operation for its day, producing sugar for theinternational market at a time when most European agriculture concentrated on the basics of localsubsistence. But from its inception [beginning], it used slaves; and when plantations were set up in theAmericas, black slaves became the backbone of the workforce....Source: Will Hardy, "The Slavery Business," BBCEnduring Issue: a challenge or problem that has been debated or discussed across time. It is longlasting and/or has affected a lot of people.Enduring Issues List To Choose From: Human Rights Violations, Population Growth, Power,Impact of Cultural Diffusion, Impact of Migration, Impact of Trade, Slavery or Other1. Which Enduring Issues does this document make me think of and why, using evidence from thedocument? Please quote the document. What do these two changes have in common?a slice of banana turning brownacid rain weathering a marble statueSelect all that apply.Both are only physical changesBoth are only chemical changesBoth are caused by heatingBoth are caused by cooling Fill in the missing information in the table.Note: The cylinder and cone in each row have the same dimensions.(I already solved some of them just give me the answers to the parts where I put the zeros, and please hurry) Which of the following emotional reactions is most likely to precede any conscious thinking? a. hatred b. love c. fear d. depression e. regret. Terrence made a scale drawing of a boarding school. The scale he used was7 centimeters: 3 meters. If the actual length of a building at the school is 300 meters, howon is the building in the drawing? you plan to mark up your taco prices by 15%, of your original prices are 4.50, 2.25, and 3.00 what would be the new prices? Which leukocyte might you expect to find in higher quantities in a person experiencing allergies?a. neutrophillb. ymphocytec. basophild. eosinophil Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15 Determine which of the following sequences and structures represent part of mature eukaryotic mRNA.- termination sequence- 5'-UTR- poly-A tail- 3'-UTR- start codon- intron- 5'-cap- AAUAAA- stop codon- promoter Predict the molecular geometries of the following species, respectively: IF3, TeF4, XeF51+.a. T-shaped, see-saw, square pyramidalb. trigonal planar, tetrahedral, square pyramidalc. trigonal pyramidal, tetrahedral, see-sawd. trigonal planar, see-saw, square planare. trigonal pyramidal, square planar, linear One of the forms of government the Americans considered establishing was a confederation, a nation inwhich the states have more power than the national government.What types of advantages would this system of government provide? Check all of the boxes that apply.greater centralizationless risk of the central government trampling citizens' rightseasier to raise a strong national armycitizens have closer ties with their state governmentsDONEIntro. Greater centralization cause and effect climate change using diagram. You need to deploy a small piece of software using a script file. You have a variety of options available to you based on what method you use in writing the script. Which of the following would NOT be an option for file scripting?A) .batB) .iniC) .shD) .py help please do what the instructions say Tom got a Mr. Potato Head for his birthday. It came with $3$ hairstyles, $2$ sets of eyebrows, $1$ pair of googly eyes, $2$ sets of ears, and $2$ sets of lips, a pair of regular shoes, and a bonus pair of clown shoes. If a complete Mr. Potato Head personality includes eyebrows, eyes, ears, lips, shoes and optionally hair, how many different wacky personalities can Tom come up with? Note that Mr. Potato Head can be bald. Note: You cannot "mix and match". For example, you cannot take the left eyebrow from one pair and the right eyebrow from the other pair. Jesse from Boston goes to his grandpa Isaac in New York by bus at an average speed of 35 mph and it takes him 6 hours. In a while, Jesse and Isaac go back from New York to Boston in Isaac's car at an average speed of 42 mph. How long does Jesse's trip from New York to Boston take? What was the main purpose of the confederation?