The diagonal of a square measures 12 inches. What is the length of the sides

Answers

Answer 1

It is given that the diagonal of a square is 12 inches.

The square is given by the diagram shown below:

In the triangle ABC by pythagorean theorem it follows:

[tex]\begin{gathered} AB^2+BC^2=AC^2 \\ 2AB^2=12^2 \\ AB^2=\frac{144}{2} \\ AB^2=72 \\ AB=\sqrt[]{72}=6\sqrt[]{2} \end{gathered}[/tex]

Hence the side is given by:

[tex]s=6\sqrt[]{2}\text{ inches}[/tex]

The Diagonal Of A Square Measures 12 Inches. What Is The Length Of The Sides

Related Questions

Hello would u pls help me find the correct answer

Answers

As we can see in the graphic when we are going more to the left the negative number increase

the point that is closer to the -0.1 is the point C that is located in -0.095.

The correct answer is point C.

In the United States, 1 nautical mile
is officially 6076.10 feet. How much
longer is a nautical mile than a statute mile?

Answers

Answer:

796.1 feet

Step-by-step explanation:

The nautical mile is 6076.10 feet and the statute mile is 5280 feet.

Subtracting that yields 796.1 feet.

Solve 2(4x - 3) = 2(x + 2) + 8 for x.A) x = 3B) x = 4C) x = -2D) x = -5

Answers

Given: 2(4x - 3) = 2(x + 2) + 8

Required: The value of x

Explanation:

Opening the brackets

[tex]\begin{gathered} 2(4x-3)=2(x+2)+8 \\ 8x-6=2x+4+8 \end{gathered}[/tex]

Further

[tex]\begin{gathered} 8x-2x=4+8+6 \\ 6x=18 \end{gathered}[/tex]

So

[tex]x=3[/tex]

Final Answer: Option A is correct.

Value of x = 3 that is option A

Here we are given with the equation as,

2(4x-3) =2(x+2) +8

Now solving both left hand side and right-hand side

taking left hand side,

2(4x-3)

2 X 4x + 2 X (-3)

8x - 6

Now solving right hand side,

2(x+2) +8

2x + 4 +8

2x+ 12

Now according to question equating both left hand side and right-hand side,

8x - 6 = 2x + 12

Now transposing variables and constants on left hand side and right-hand side respectively,

8x - 2x = 6 + 12

6x = 18

x= 12 / 6

x = 3

To know more problems about linear equation in one variable refer to the link mentioned below: -

https://brainly.com/question/29165184

why does 90×5 and 50×9 equal the same product

Answers

There is a math rule that says the order in which we multiply the factors does not change the product, it's called commutative property.

Geena's hair grew 1 1/8 inches in 3 months. How many inches will her hair grow in 1 month?

Answers

If Geena's hair grew 1 1/8 inches in 3 months then in one month Geena's hair grew 1 1/8 inches long.

What is Equation?

Two or more expressions with an equal sign is called as Equation.

Given that,

Geena's hair grew 1 1/8 inches in 3 months.

We need to find how many inches grow in one month.

Let x be the hair  grown in one month.

Let us convert  1 1/8 inches to improper fractions

1 1/8= 9/8

Let us form a equation with the given data.

nine by eight by three equal to x by 1.

9/8/3=x/1

Twenty seven by eight equal to x by one.

27/8=x/1

Apply cross multiplication

27=8x

x=27/8

x=3 3/8

Hence in one month Geena's hair grew 1 1/8 inches long.

To learn more on Equations click:

https://brainly.com/question/10413253

#SPJ1

Which statement is true of both debit AND credit cards?

A. Both can help you in endless cycle of debt if you’re not careful

B. Both require you to pay a minimum monthly payment when your bill arrives

C. Both typically have interest rates between 10-30%

D. Both allow you to make purchase in a store or online

Answers

Both allow you to make purchase in a store or online.

D is the ideal choice.

What exactly are credit AND debit cards?

While credit cards charge transactions using a line of credit, debit cards commonly withdraw money from a checking account. You use your own money to make purchases when using a debit card. By using a credit card, you are effectively borrowing the funds, which you will eventually have to return to the card's issuer along with any applicable interest.

A credit card against a debit card: Which is safer?

When it comes to fraudulent purchases, credit cards typically provide consumers with better protections than debit cards. Purchases made using debit cards may not be as easily or liberally covered by these fraud protections.

To know more about  debit and credit cards visit:-

https://brainly.com/question/14368281

#SPJ13

3.724x10^-12 convert into numerical form

Answers

A numerical expression is a mathematical statement that only consists of numbers and one or more operation symbols.

3.724x10^-12 = 3724/1000000000000000.

What is a numerical form?A numerical expression is a mathematical statement that only consists of numbers and one or more operation symbols. Thus, if someone gives you an expression, such as x + 2 - 3 + 8 = 11, and claims it is a numerical expression, you must deny it.Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten.A fraction is a numerical representation of a portion of something larger.A standard form is a method of writing a given mathematical concept, such as an equation, number, or expression, in a way that adheres to certain rules.

3.724x10^-12 = 3.724/ 10^12

= 3.724/ 1000000000000

=3724/1000000000000000 (numerical form)

To learn more about :   Numerical form

Ref : https://brainly.com/question/19169731

#SPJ9

Question 1 (Multiple Choice Worth 2 points)
(04.02 MC)
Which graph represents the function of f(x) =
4x²-16?
2x-4

Answers

A graph of function that is a line passing through ( 0 , 4 )  and

( -2 , 0 )

What is function explain?

One input results in one output when using a function, which is a type of rule. This is illustrated by the equation y=x2. Any input for x results in a single output for y. The fact that x is the input value leads us to say that y is a function of x.

First we simplify the given function.

Consider,

f(x) = 4x²-16/2x-4

f(x) = (2x)² - (4)²/2x-4

f(x) = [tex]\frac{(2x+4)(2x-4)}{2x-4}[/tex]

f(x) = 2x + 4

Obtained function represent a straight line whose slope is 2 and y-intercept is 4

Let say, y = 2x + 4

then when x = 0 we get, y = 4

when y = 0 we get, x = -2

So we get a graph of function that is a line passing through ( 0 , 4 )  and

( -2 , 0 )

Learn more about function

brainly.com/question/12431044

#SPJ13

If a polynomial with real coefficients is of degree 3. Can we say there must be at least 1 real root?a. Yes, because complex roots must appear in conjugate pairs, leaving one root real. b. No. we can’t say anything about this casec. Yes, because if there is one real root, there must be two additional real rootsd. No, because such a curve never crosses the x-axise. Sometimes yes and sometimes no

Answers

Solution

If we have a polynomial odf degree 3 it must have 3 roots

And one of then should be real the answer is true

And the correct choice is:

a. Yes, because complex roots must appear in conjugate pairs, leaving one root real.

Since we have two possible options:

1) (x-i)(x+i) (x-a) with 2 factors conjugate and 1 root real a and two other complex numebrs

2) (x-a)(x-b)(x-c) with 3 real roots a,b and c

So then we must have at least one root assuming that the coeffcients of the polynomial are not complex

If you borrow $500 for 4 years atan annual interest rate of 6%, howmuch will you pay altogether?

Answers

Problem

If you borrow $500 for 4 years at an annual interest rate of 6%, how much will you pay altogether?

Solution

For this case we can use the following:

In parallelogram STUV, VT bisects US and point G. If UG = x + 6 andGS = 2x + 6, find US.

Answers

Answer:

US = 12

Explanation:

The length of GS = UG (because TV bisected the line segment US) and

GS + UG = US

From GS = UG we have

[tex]x+6=2x+6[/tex]

subtracting 6 from both sides gives

[tex]x=2x[/tex]

subtracting x from both sides gives

[tex]0=x[/tex]

With the value of x in hand, We now find the length of the line segment US.

[tex]US=UG+GS=x+6+2x+6=3x+12[/tex]

Since x =0, the above gives

[tex]\begin{gathered} US=3(0)+12 \\ US=12 \end{gathered}[/tex]

How many 1/4 pound pork chops can be cut from a 9 1/2 pound boneless pork loin.

For Culinary

Answers

The answer is: 38 1/4 pound pork chops

convert into paisa RS.35.25​

Answers

When RS.35.25 is converted into paise it will be :

3525 paise

How Rupee is converted into Paise? Each nation has its own currency. India's currency is the Indian Rupee. We all see and interact with rupees on a daily basis. We see various coins and notes of various denominations.A rupee contains one hundred paise. In addition, we write 1 Rupee = 100 Paise or 100 Paise = 1 Rupee. Let us first define the terms rupees and paise. We will also understand how to convert rupees to paise.

Here given , RS.35.25

We know that,

1 rupee equals 100 paise.

When converting rupees to paise, multiply by 100.

For instance,

Rs 35.25 = Rs 35 + 25 paise.

= 35 x 100 paise + 25 paise

= 3500 paisa + 25 paisa

= 3525 paise.

RS.35.25 = 3525 Paise.

To learn more about currency conversion refer to:

https://brainly.com/question/20810511

#SPJ9

write this as a conditional statementMrs.smith has a dog that is not a poodle.

Answers

A conditional statement is used to implicate something, using if and then. Conditional statements are used in deductive reasoning to conclude something from initial evidence.

The given statement is: Mrs. Smith has a dog that is not a poodle.

The conditional statement is: if Mrs. Smith has a dog then it's not a poodle.

Find the volume of the sphere. Either enter an exact answer in terms of ar or use 3.14 for pi and round your final answer to the nearest hundredth.

Answers

Volume of a sphere

We have a sphere of radius 4

r = 4

We know that the equation for the volume is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

We know that:

r = 4

and

π = 3.14

Then, we replace in the equation:

[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot4^3 \end{gathered}[/tex]

Since

4³ = 64

then

[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot4^3 \\ =\frac{4}{3}\cdot3.14\cdot64 \\ =267.9467 \\ =\frac{4}{3}\cdot\pi\cdot64=\frac{256}{3}\pi \end{gathered}[/tex]

We want to round our answer to the nearest hundredth (two numbers after the decimal point).

For this case we have two options:

267.94 or 267.95

Since

267.9500 is nearer to 267.9467

than

267.9400

then the answer is 267.95

Answer: the volume of the sphere is 267.95 units³ or (256/3)π units³

Evaluate. [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box.

Answers

The value of given expression  [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) is 1/5

In this question, we have been an expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9)

We need to evaluate given expression.

First we write an improper fraction as proper fraction.

1 1/5 = 6/5

So given expression becomes,

[(1 1/5−2/5)⋅(− 3/4)3]÷(−9)

=  [(6/5 − 2/5) × (− 3/4) 3] ÷ (−9)

=  [(4/5) × (-9/4)] ÷ (−9)

= (-9/5) ÷ (-9)

= 1/5

Therefore, the value of given expression  [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) is 1/5

Learn more about fraction here:

https://brainly.com/question/8969674

#SPJ1

A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air​ resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the​ time(s) that the projectile will​ (a) reach a height of 400 ft and​ (b) return to the ground when v0 is 128 feet per second.

Answers

At time t = 4 + 3i sec and t = 4 - 3i sec that the projectile will​ reach a height of 400 ft.

A projectile is launched from ground level with an initial velocity of  v₀ feet per second. Neglecting air​ resistance, its height in feet t seconds after launch is given by s = −16t² + v₀t.

To determine the​ time that the projectile will​ reach a height of 400 ft

⇒ s = −16t² + v₀t

Here v₀ = 128 ft/s and s = 400 ft

Substitute the value of v₀ = 128 and s = 400 in the above equation,

400 = -16t² + 128 × t

16t² - 128t + 400 = 0

Which is simplified as :

t² - 8t + 25 =0

Which gives t = 4 + 3i sec and  t = 4 - 3i sec

Therefore, time t = 4 + 3i sec and t = 4 - 3i sec that the projectile will​ reach a height of 400 ft.

Learn more about Velocity here:

https://brainly.com/question/12904979

#SPJ1

Patty went to the shopping mall at 10:30 A.M. She shopped for 20 minutes. She spent 35 minutes eating lunch. Then she met a friend at a movie

Answers

Patty started shopping at 10:30 AM. It was for 20 minutes, then it lasted until 10:50. (30 min + 20 min = 50 min).

Then, we can say she starts lunch 10 minutes before 11:00 AM.

She spent 35 minutes eating lunch. Then, she ends at 11:25 AM. Ten minutes before 11:00 AM and 25 minutes after 11:00 AM, giving the 35 minutes.

After lunch she mets a friend, then it was about 11:25 AM.

change 0.31 to a fraction

Answers

Problem

change 0.31 to a fraction​

Solution

For this case we can do the following:

31/100

And the final answer for this case would be 31/100 the most simplified form

Vijay earned some money doing odd jobs last summer and put it in a savings account that earns 6% interest compounded continuously. After 1 year, there is $400.00 in the account. How much did Vijay earn doing odd jobs? Round your answer to the nearest cent.

Answers

The interest is 6%, compounded continuously.

After 1 year there is $400.

The continuous compound formula is

[tex]A=P\times e^{i\times t}[/tex]

Where P is the principal, A is the final amount, i is the interest and t is the time in years.

Replacing all the given information, we have.

[tex]\begin{gathered} 400=P\times e^{0.06\times1} \\ P=\frac{400}{e^{0.06}} \\ P\approx376.71 \end{gathered}[/tex]Hence, Vijay earned $376.71 doing odd jobs.

The base of an 8-foot ladder is placed 2 feet away from a wall. How high up the wall will the ladder reach?​

Answers

The height up the wall will be 7.74 feet the ladder reach when an 8-foot ladder is placed 2 feet away from a wall.

The base of an 8-foot ladder is placed 2 feet away from a wall.

This is a simplistic Pythagoras problem since the wall forms a right angle with the ground.

Let a be the height up the wall.

Let b be the distance from the wall.

Let c be the length of the ladder.

According to Pythagoras's theorem,

a² + b² = c²

Here b = 2 and c = 8

a² + 2² = 8²

a² + 4 = 64

a²  = 64 - 4

a² = 60

a = √60

a = 7.74 feet

Thus, the height up the wall will be 7.74 feet the ladder reach.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ1

What is the range of the relation (-2,3) (0,3) (2,5) (2,9)

Answers

The range of a relation is given by the values of y the relation can assume.

Looking at the ordered pairs in the relation, the y-values that can be assumed are 3, 5 and 9.

Therefore the range is:

[tex]range=\mleft\lbrace3,5,9\mright\rbrace[/tex]

PLS HELP!!! I GIVE BRAINLESS!!!! NOT FOR TEST!!!

Answers

Answer:D

Step-by-step explanation:

D (-1,-2)

What is the domain of this function? (assume there are arrows at the ends of the graph) The answer has the form [A, B] Where A = and B = What is the range of this function? The answer has the form Select an answer Where A = and B = On what interval is the function increasing? The answer has the form Select an answer Where A = and B = On what interval is f(x) >= 0? The answer has the form Select an answer Where A = and B =

Answers

SOLUTION

From the question, we want to find

(a) The domain of the function.

The domain is gotten from the x-values. Looking at the x-values from the graph whether the curve is expanded or not, it would satisfy infinitely the value of any x-values. That is whatever x-value will make the function defined.

So the domain is all real numbers or negative infinity to positive infinity Written as

[tex]\begin{gathered} (A,B) \\ where\text{ } \\ A=-\infty\text{ and B = }\infty \end{gathered}[/tex]

(b) The range is the y-values that satisfy the function. Looking at the curve, the y-values would have infinitely number of negative values, but does not exceed 1, which is the maximum value.

So the range is negative infinity to 1.

Written as

[tex]\begin{gathered} (A,B] \\ where\text{ } \\ A=-\infty\text{ and B = 1} \end{gathered}[/tex]

(c) The function is increasing from infinite negative values of x, up to where x is -3, before it starts decreasing of sloping downwards

Hence the function is increasing between negative infinity to negative 3, written as

[tex]\begin{gathered} (A,B) \\ where\text{ } \\ A=-\infty\text{ and B = -3} \end{gathered}[/tex]

(d) Interval where f(x) >= 0

For f(x), that is y to be greater than or equal to zero, this must take place at the x-intercept, that is where the graph cuts the x-axis plane. Looking at the graph, this is at -4 and -2

hence the answer is between -4 and -2, written as

[tex]\begin{gathered} [A,B] \\ where\text{ } \\ A=-4\text{ and B = -2} \end{gathered}[/tex]

Use the data given to complete the table for your first bulb. DATA TABLE A Time (hours) Energy (kWh) X у Point (time, energy) (x, y) 3 10

Answers

Jourden, this is the solution:

a 100-watt light bulb operating for ten hours would use one kilowatt-hour.

Therefore, in three hours:

0.3 KwH

In ten hours:

1 kwH

6.25 ft7.14 am25 cm11 am8.9 m21.6 m

Answers

For figure 6

In figure 6 we have a circle and a rectangle. The shaded area will be the difference between the area of the rectangle of side 25ft and the area of the ciercle of diameter 25ft.

The radius of the circle will be 25ft/2 = 12.5ft

Then, the area will be:

[tex]\begin{gathered} \text{Area}=(25ft)\cdot(25ft)-\pi\cdot(12.5ft) \\ \text{Area}=625ft^2-490.87ft^2=134.13ft^2 \end{gathered}[/tex]

For figure 7

In figure 7 we have a rectangle and a triangle. The shaded area will be the area of the rectangle minus the area of the triangle. The sides of the triange are 25cm and 14cm, while the triangle has a base of 25cm and a height of 11cm. We can say 11cm is the height because according to the figure this height forms a right triangle with the base.

Then, the area will be:

Area = 350cm^2 - 137.5cm^2

Area = 212.15cm^2

For figure 8

The figure 8 has a triangle and a semicircle. The shaded area will be the difference between the area of the semicircle and the area of the triangle.

We can say this is a righ triangle because his hypotenuse is the diameter of a circle and the hycks join in the circumference.

The hypotenuse is calculated with hicks 9m and 21.6m

[tex]h=\sqrt[]{(9m)^2+(21.6m)^2}=\sqrt[]{81m^2+466.56m^2}=\sqrt[]{547.56m^2}=23.4m[/tex]

The area of the triangle could be calculated with the base 21.6m and the height 9m., and the area of the semicircle could be calculated considering his radius as the half of diameter: 23.4/2 = 11.7m

Then the area will be:

[tex]\text{Area = }\pi\cdot(11.7m)^2-\frac{(21.6m)\cdot(9m)}{2}[/tex][tex]\text{Area}=215.02m^2-97.2m^2=117.82m^2[/tex]

3) Yi-fei Wang inherited $20,000 which she invested in stocks and bonds. The stocks returned 6% and the bonds 8%. if the return on the bonds was $80 less than the return on the stocks, how much did she invest in each?

Answers

We know that

• The total amount of money invested is $20,000.

,

• The stocks returned 6%.

,

• The bonds returned 8%.

,

• Bonds return $80 less than Stocks return.

Let's called x stocks and 20,000 - x bonds.

Using the given information, we can define the following equation.-

[tex]0.08(20,000-x)=0.06x-80[/tex]

Now, we solve for x.

[tex]\begin{gathered} 1,600-0.08x=0.06x-80 \\ 1,600+80=0.06x+0.08x \\ 0.14x=1,680 \\ x=\frac{1,680}{0.14} \\ x=12,000 \end{gathered}[/tex]Stocks' investment was $12,000.Bond's investment was $8,000. (the difference).

A line passes through the point (-9,1) and has a slope of -4/3.

Write an equation in slope-intercept form for this line.

Answers

The  equation of line is (y- 2)= 4/3(x- (-9)) or 3y = 4x + 42.

What is equation of line?

The slope of the line and a point on the line may be used to create the equation of a line. To better comprehend how the equation for a line is formed, The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

and, the point slope form of line for any point can be written as

(y- [tex]y_1[/tex] )= m(x- [tex]x_1[/tex])

Given:

A line passes through the point (-9,2) and has a slope of 4/3.

We know by point- slope form

(y- [tex]y_1[/tex] )= m(x- [tex]x_1[/tex])

Here the points are (-9, 2) and m=4/3

So,

(y- 2)= 4/3(x- (-9))

3y -6 = 4 (x+ 9)

3y - 6 = 4x+ 36

3y = 4x + 42

Hence, the equation of line is 3y = 4x + 42.

Learn more about equation of line here:

brainly.com/question/21511618

#SPJ1

A survey was conducted to determine the percentage ofcollege freshmen that planned to take a math course while in college. The results were given as 75% with a margin oferror of +/- 4%. What does the margin of error of +/- 4%mean?Select one:•4% of the students surveyed refused to participate in the poll.•4% of the students surveyed will most likely change theirminds.• Your guess can be up to 4% wrong and your confidenceinterval will still be correct•4% of the population was not included in the survey.

Answers

Recall that the a margin of error ir a way to do calculations under uncertainty. What the margin of error does is guarantee that the given calculation, under uncertainty, will still be valid within that range.

In our example, we are given that the calculation is 75% with a margin of error of 4%. That is, that the process of calculation that the real value would be with a high confidence between 71% and 79%. So, a value of 77% would be still correct, as it is between the admissible ranges.

So, the anwer would be option C.

What’s the correct answer answer asap for brainlist

Answers

Answer:

B. There is not much to add to this answer

Answer:

Step-by-step explanation:

B.

The valence electrons are known as the outermost elections which are usually stored in something called "valence electron shel"

Other Questions
which of the following atoms is the smallest? V,Cr, W What did the settlers mean when they said they wanted to "compensate" the natives?OA) start a war with themOB) give them something of valueOC) rent better houses to themOD) sell them new boats (a) if you selected repeated samples of size twelve from the u.s. population, what would be the mean number of individuals per sample who do not exercise regularly? !!100 POINTS!!Which of the following changes was implemented when Radical, or Congressional, Reconstruction began?1.Slavery was abolished throughout the nation.2.Jim Crow laws were declared unconstitutional.3.Former Confederate officials' right to vote was restored.4.The former Confederate States were organized into districts and occupied by federal troops. -5y+6x=403y-8x=-46x=y= If an absolute value expression is greater than a negative number, there is no solution. O True O False Read the excerpt from Greta Thunbergs speech at the United Nations Climate Action Summit.There will not be any solutions or plans presented in line with these figures here today, because these numbers are too uncomfortable. And you are still not mature enough to tell it like it is.You are failing us. But the young people are starting to understand your betrayal. The eyes of all future generations are upon you. And if you choose to fail us, I say: We will never forgive you.We will not let you get away with this. Right here, right now is where we draw the line. The world is waking up. And change is coming, whether you like it or not.Which type of reasoning is used to support the claim that young people will hold older generations responsible for not protecting the environment? abductive, because the speaker makes a generalization about climate change inductive, because the speaker starts with specific observations about the responsibility of youthinductive, because the speaker moves toward a broad conclusion about older generationsabductive, because the speaker starts with a specific trend in CO2 usage 3. Given AB with coordinates A(-4,5) and B(12,13). Find the horizontal distance and the verticaldistance from A to B, stated in that order. sergio is really stressed out because he has a noisy roommate, he's acting in a play this term, and he's taking a full course load. he wants to concentrate on school work, but the stress is getting to him. which strategy will help reduce sergio's stress? Algae releases carbon dioxide and water when they are burned as biofuel. Why are algae considered to be a good biofuel if they add carbon dioxide to the atmosphere? Match the cell type (sex cell or somatic cell) with the examples provided.a. white blood cellb. spermc. egg (ova)d. hepatocyte (liver cell)e. epithelial (skin) cell Cundo es navidad? two students a and b are both registered for a certain course. assume that student a attends class 80 percent of the time, student b attends class 60 percent of the time, and the absences of the two students are independent. a. what is the probability that at least one of the two students will be in class on a given day? b. if at least one of the two students is in class on a given day, what is the probability that a is in class that day? A student made the Lewis dot diagram of a compound as shown.Mg is written with two dots shown on its top. Cl is written on the right side of Mg. Cl has seven dots around it. An arrow is shown from one dot on Mg toward the vacant space around Cl. Another arrow is shown from the other dot on Mg toward the vacant space around Cl. On the top, the art title is written as Students Lewis Dot Model.What is the error in the Lewis dot diagram? (3 points)Another Cl should be shown around Mg that will transfer its unpaired electron to Mg.The number of dots around Mg should be one because there is only one Cl around Mg atom.Another Cl should be shown around Mg that will receive the second electron on Mg.The number of dots around Cl should be six because it is receiving two electrons from Mg. 3 times the sum of a number and 12 is 56 A boulder has just finished rolling down a hill and is now on flat ground. If the boulder is moving at 30 m/s when it reaches the flat ground and slows down to a roll of 5 m/s with a deceleration of -5m/s2, how long did it take to decelerate? Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent year: George Lucas (5500).Steven Spielberg (3700), Oprah Winfrey (3200), Paul McCartney (1200), J. K. Rowling (1000), and Jerry Seinfeld (950)Find the range, variance, and standard deviation for the sample data. What do the results tell us about thepopulation of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? porter's model suggests that if a company develops a strategy around the unique qualities of its products (like apple, for example), then we can say it has a strategy. group of answer choices low-cost integrated competitive differentiation A certain star has an absolute magnitude of 1.0 and an apparent magnitude of 5.4. How far away is this star (in parsecs)? Use the text The Legend of the Giant's Causeway to answer the questions.The Legend of the Giant's CausewayWhich line from the text helps the reader understand the tone of Finn's marriage to Oona?(1 point)ResponsesWhat can we do?What can we do?Youre the wisest wife in Ireland, after all.Youre the wisest wife in Ireland, after all.Oona patted Finns beefy forearm.Oona patted Finns beefy forearm.Oona! Ive been an eejit.Oona! Ive been an eejit.