Find DG.
DE
2x+17
EF
8
FG
2
x + 20

Answers

Answer 1

The value of DG is 4x + 45

Determine the length of a line segment

From the question, we are to determine the value of DG

From the given information,

DE = 2x + 17

EF = 8

FG = 2x + 20

Then,

DG = DE + EF + FG

DG = 2x + 17 + 8 + 2x + 20

DG = 4x + 45

Hence, the value of DG is 4x + 45

Learn more on Determining the length of a line segment here: https://brainly.com/question/8615463

#SPJ1


Related Questions

if a= (-3 -9 -3 -4 -3 9 7 9 -10) and b= (9 1 6 3 -10 5 -1 9 -9) find -7A -4B?​

Answers

Answer:  Choice A

[tex]\begin{pmatrix}-15 & 59 & -3\\16 & 61 & -83\\-45 & -99 & 106\end{pmatrix}[/tex]

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

Explanation:

In matrix A, the upper left corner is -3

Multiply this with -7 to get  -7*(-3) = 21

So we'll have 21 in the upper left corner of matrix -7A. The other entries will be handled in a similar fashion.

Meanwhile, the upper left corner of matrix B is 9. Multiply this with -4 to get 9(-4) = -36 which is the upper left corner entry of matrix -4B

Combine those products: 21 + (-36) = -15

The number -15 is the upper left corner entry in matrix -7A-4B

This points us to choice A as the final answer.

Select the correct answer from each drop-down menu.
Consider the function Ax) = 3x+ 1 and the graph of the function g(x) shown below.

Answers

Answer:

write three methods of writing set. Give one example of each methods.

Cai drove 189 miles in 7 hours. If he continued at the same rate, how far would he
travel in 12 hours?

Answers

I think it is 324, I divided 189 by 7 which gave me 27 mph so I multiplied 27 by 12 which gave me 324 mph.

Which is the domain and range of the parabola with the equation y = 0.5(x2 – 8x – 6)?

D: (–∞, ∞); R: (–∞, –11]
D: (–∞, ∞); R: [–11, ∞)
D: (–∞, –11]; R: (–∞, ∞)
D: [–11, ∞); R: (–∞, ∞)

Answers

Answer:

D: (–∞, ∞); R: [–11, ∞)

Step-by-step explanation:

The domain of a quadratic function is all real numbers, so eliminate the third and fourth options.

Also, since the coefficient of [tex]x^2[/tex] is positive, we know the graph opens up and thus has a minimum.

This means that the first option must be wrong since the range has a maximum, not a minimum.

Therefore, the correct answer is Option 2.

Answer:

D: (–∞, ∞); R: [–11, ∞)

Step-by-step explanation:

I honestly don't know the answer but the other person said this so I'm putting it as my answer ill update this answer when i find out if its right or not.

update I GOT A 100% woop woop

Identify parallel and perpendicular lines

Answers

Parallel lines are those on a plane that do not intersect while perpendicular lines are those that intersect at an angle of 90°.

How are parallel and perpendicular lines different?

Parallel lines will never intersect with each other and will maintain the same distance from each other for as long as they are on the same plane.

Perpendicular lines on the other hand will intersect each other and will do so at a 90° angle. An example of such a line is the steps on a ladder which intersect the beam at a 90° angle.

Find out more on parallel lines at https://brainly.com/question/24607467.

#SPJ1

Finding the inverse of the function x^3+3x+1 is beyond the scope of this course. Nevertheless, you should be able to use your knowledge of functions and their inverses as well as your graphing calculator to find the following values of the inverse function.


a. f^-1(1)

b. f^-1(5)

c. f^-1(3)

Answers

Step-by-step explanation:

[tex] {x}^{3} + 3x + 1 = 1 = = = > \\ {x}^{3} + 3x = 0 = = = > \\ x({x}^{2} + 3) = 0 \\ x = 0 \: or \\ {x}^{2} + 3 = 0 = = = > \\ {x}^{2} = - 3 = = = > x 1= \sqrt{ - 3} \: or \: i \sqrt{3} \\ x2 = - \sqrt{ - 3} = = = > x2 = - i \sqrt{3} [/tex]

[tex] {x}^{3} + 3x + 1 = 5 = = = > \\ {x}^{3} + 3x - 4 = = = > \\ (x - 1)( {x}^{2} + x + 4) = 0 = = = > \\ x - 1 = 0 = = > x1 = 1 \\ {x}^{2} + x + 4 = 0 = = = > \\ x2 = - 1 + i \sqrt{3} \\ x3 = - 1 - i \sqrt{3} [/tex]

[tex] {x}^{3} + 3x + 1 = 3 = = = > \\{ x}^{3} + 3x - 2 = 0 = = = > x = 0.6[/tex]

The values of the inverse of the function, f(x) = x³ + 3·x + 1, obtained from  graphing of the function are;

a. f⁻¹(1) = 0

b. f⁻¹(5) = 1

c. f⁻¹(3) ≈ 0.59607

What is an inverse function?

An inverse function is a function that reverses the action of another function, such that the inverse function maps the output of the function to the corresponding input.

The inverse of the function can be found by graphing the function, f(x) = x³ + 3·x + 1, using technology and then using inverse or table function to find the values of the inverse functions at the specified points

a. The value of the inverse function, f⁻¹(1), is the x-value, on the graph that corresponds to the point with a y-coordinate of 1.

The graph of the function indicates that at a y-value of 1, x = 0, therefore;

f⁻¹(1) = 0

b. Similarly, the graph indicates that a y-value of 5, x = 1, therefore;

f⁻¹(5) = 1

c. When the y-value = 3, we get;

x³ + 3·x + 1 = 3

x³ + 3·x - 2 = 0

Solving the above equation with an online tool, we get; x ≈ 0.59607

Therefore; f⁻¹(3) ≈ 0.59607

Learn more on the inverse functions here: https://brainly.com/question/9007328

#SPJ2

In Triangle XYZ, XZ = XY and m∠Y=57°. The longest side of the triangle is ______.

YZ
XZ
XY
Both XZ and XY

Answers

Answer:

I think YZ 'cause the triangle is iscoceles triangle. As the two sides XY and XZ are equal the longest side is YZ.

The answer is YZ.
since XY=XZ, XYZ is the isosceles and naturally angle Y = angle Z = 57 degree.
so in a traingle the longest side is on the opposite side of the biggest angle.
If the congruent sides measures 57, the angle opposite the base( angle X) would mean 180-57-57 = 66. So basically the side which is opposite to X is the longest and that side being YZ.

considering the inequality -5x-4y<12 , the shaded area of its graph is described by

Answers

The shaded area for the inequality y > -3-(5/4)x is given below.

The inequality is the relation between two expressions showing the relationships such as greater than, lower than, greater than equals to, and lower than equals to.

The given inequality is -5x-4y<12

solving this inequality for y

-5x-4y<12

⇒ -4y<12+5x

⇒y > (12+5x)/(-4)

⇒y > -3-(5/4)x

the line y= -3-(5/4)x has y intersection at (0,-3) and  x intersection at (-12/5,0).

The inequality y > -3-(5/4)x show that this will be above the straight line y = -3-(5/4)x as if we put (0,0) in the inequality, the inequality will be 0>-3 which is true that shows that the region contains (0,0).

Therefore the shaded area for the inequality y > -3-(5/4)x is given below.

Learn more about inequality

here: https://brainly.com/question/24372553

#SPJ10

The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 58 million dollars. For the group of 17 movies, find the probability that the average production cost is between 55 and 58 million dollars. For part d), is the assumption of normal necessary? NoYes

Answers

Using the normal distribution, we have that:

The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the parameters are given as follows:

[tex]\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358[/tex]

Hence:

The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].

The probabilities are the p-value of Z when X = 58 subtracted by the p-value of Z when X = 55, hence, for a single movie:

X = 58:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{58 - 57}{22}[/tex]

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55 - 57}{22}[/tex]

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{58 - 57}{5.3358}[/tex]

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{55 - 57}{5.3358}[/tex]

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

How do I solve this problem? It’s been awhile since I’ve done math

C=(2+y)h

solve for y

Answers

Answer:

y = C/h - 2

Step-by-step explanation:

Equation

C = (2 + y)*h

Solution

C = (2 + y)*h                          Divide by h

C/h = (2 + y)*h/h

C/h = 2 + y                            Subtract 2 from both sides

C/h-2 = 2-2+ y                      Combine

C/h - 2 = y

This table represents a proportional relationship between x and y.

x 0.2 0.4 0.6 0.8
y 0.25 0.5 0.75 1.0
What is the constant of proportionality?

Enter your answer as a decimal in the box.

Answers

Answer:

x

Step-by-step explanation:

I got it right.........

A city has a population of 1300. If the city’s population grows 30%, what is its new population?

Answers

Answer:

1699

Step-by-step explanation:

30/100*13000

Then add answer with 1300

eg 1300+399

I hope this explanation helps you.Also You can follow me.

(-3,-2) (x,6) m=-8/5 solve for x

Answers

Answer:

-8

Step-by-step explanation:

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

-8/5=(6-(-2))/(x-(-3))

-8/5=(6+2)/(x+3)

-8/5=8/(x+3)

5=-(x+3)

5=-x-3

-x=5+3

-x=8

x=-8

click on the attachment below and please help me with the question

Answers

The value of the length of the scaled up rectangle is 12.8 unit.

What is a Rectangle ?

A rectangle is a polygon with four sides , the opposites are parallel and equal.

It is given in the figure that

A rectangle 4* 8 is scaled up and a new rectangle is formed α * 25.6

Scale factor = 25..6/8 =3.2

The value of the length therefore will be

4 * 3.2 = 12.8 unit

Therefore the value of the length of the scaled up rectangle is 12.8 unit.

To know more about Rectangle

https://brainly.com/question/15019502

#SPJ1

Add. State the sum in simplest form.

Answers

Answer:

[tex] \frac{ {3x}^{2} }{x + 5} + \frac{15x}{x + 5} [/tex]

[tex] \frac{3 {x}^{2} + 15x}{x + 5 } [/tex]

3x ( x + 5) /( x + 5).

3x, X is not equal to (-5)

A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth. Which point is farther from the origin, and by how much?

Answers

Distance from the origin to the points  ≈ 0.41.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;

Let OB is the distance from the origin to the point B

Let OA is the distance from the origin to the point A

Using the formula for calculating the distance between two points;

OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²

OA = √(4-0)²+(3-0)²+(5-0)²

OA = √(16)+(9)+(25)

OA = √50

OA = 7.071

Similarly;

OB = √(6-0)²+(2-0)²+(-4-0)²

OB = √(6)²+(2)²+(-4)²

OB = √36+4+16

OB = √56

OB = 7.4833

Distance from the origin to the points = 7.4833 - 7.071= 0.4123

Distance from the origin to the points  ≈ 0.41

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ1

Please SHOW THE WORK. How many miles are in 10 kilometers?

Answers

Well that depends on if you use an estimation, but I will use the exact number.

There are .621371192237 miles per kilometer, so multiply by ten and you get 6.21371192237 miles.

Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form

Answers

The expression that represents this inequality must relate both temperatures, then it would look like this: -40°F < x < 140°F.

How to write this situation with an inequality?

To express this situation in an inequality we must include the temperature values. Additionally, we must include the greater than (>) or less than (<) symbols to relate the values.

According to the above, the expression would look like this:

-40°F < x < 140°F

Note: This question is incomplete because some information is missing. Here is the information:

A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F.

Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form.

Learn more about inequality in: https://brainly.com/question/20383699

#SPJ1

PLEASE HELP
Natalie invests $6,680 in a savings account with an interest rate of 2% compounded continuously.
How long will it take for the account balance to reach $8,838.51?

Answers

The time it will take the money to reach $8,838.51 is 14years

Compound interest

The formula for calculating compound interest is expressed as:

A = P(1+r)^t

where

P = $6,680

A = $8,838.51?

r = 2% = 0.02

Substitute and calculate the time 't"

8,838.51 = 6680(1+0.02)^t
1.3231 = 1.02^t

t = ln1.3231/ln1.02

t = 14years

Hence the time it will take the money to reach $8,838.51 is 14years

Learn more on compound interest here: https://brainly.com/question/24924853

#SPJ1

Solve the inequality

Answers

Isolate c by subtracting all sides by 4

Then divide all sides by -5

You should get


5 less than or equal to c less than or equal to 4



Hope this helped :)


What is the scale factor from ABC to DEF?
A. 2
B. 1/2
C. 3
D. 1/3

Answers

Answer:

The scale factor is 3 C)

as ABC = 3* DEF

AB = 5

DE = 15 = 5*3

AC = 3

DF = 9 = 3*3

BC = 4

EF = 12 = 4 * 3

The scale factor is 3. Why? Well, B and D can already be ruled out because when dilating a figure, an enlargement is displayed by a scale factor greater than one, not less than one. From here, each side length can simply be multiplied by three to get the enlargement size, and you will see that it aligns. AB (which is 5) x 3 = DE (which is 15). AC (which is 3) x 3 = DF (which is 9). BC (which is 4) x 3 = EF (which is 12).

Your final answer: C. If you need to better understand it, let me know and I will gladly assist you!

​Recently, a random sample of 2534 year olds was​ asked, "How much do you currently have in​ savings, not including retirement​ savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings.

Savings Lower Limit Upper Limit Frequency
0-199 0 199 345
200-399 200 399 97
400-599 400 599 52
600-799 600 799 21
800-999 800 999 9
1000-1199 1000 1199 8
1200-1399 1200 1399 3

Answers

The approximations of the mean and the standard deviation are 233.3 and 229.82, respectively

How to determine the mean?

The table of values is given as:

Savings Lower Limit Upper Limit     Frequency

0-199         0         199                       345

200-399   200   399                         97

400-599   400   599                         52

600-799   600   799                         21

800-999   800   999                         9

1000-1199 1000  1199                         8

1200-1399 1200  1399                      3

Rewrite the table to include the class midpoint and the frequency

x               f

99.5         345

299.5        97

499.5        52

699.5        21

899.5        9

1099.5        8

1299.5        3

The mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{99.5* 345 + 299.5* 97 + 499.5* 52 + 699.5 * 21 + 899.5 * 9 + 1099.5 * 8 + 1299.5 * 3}{345 + 97 + 52 + 21 + 9 + 8 +3}[/tex]

Evaluate

[tex]\bar x = 233.331775701[/tex]

Approximate

[tex]\bar x = 233.3[/tex]

Hence, the approximation of the mean is 233.3

How to determine the standard deviation?

The standard deviation is calculated as:

[tex]\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f}}[/tex]

So, we have:

[tex]\sigma= \sqrt{\frac{(99.5-233.3)^2* 345 + (299.5-233.3)^2* 97 +...... + (1299.5 -233.3)^2* 3}{345 + 97 + 52 + 21 + 9 + 8 +3}[/tex]

Evaluate

[tex]\sigma = 229.82[/tex]

Hence, the approximation of the standard deviation is 229.82

Read more about mean and standard deviation at:

https://brainly.com/question/475676

#SPJ1


Find the domain and range of the function graphed below. Write your answers in interval notation.

Answers

Answer:

Domain: [tex][-2, 3)[/tex]Range: [tex](-5, 4][/tex]Is the relation a function? - Yes

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each value of x maps onto no more than one value of y.

can someone please help me?!? 25 points

please write wether each one is a function or a growth rate!!!

Answers

Answer:

See below

Step-by-step explanation:

There are 52 weeks in a year, so divide t by 52

= 120 (1.016)^(t/52)

      then the % for one week =   1.016^1/52 = 1.0003  = .03%

Which function is the inverse of f(x)=1/2x+5?

Answers

To find the inverse, switch the places of x and y. Then put it in terms of y. (Note: f(x) = y)
x=1/2y+5
1/2y = x-5
y = 2x - 10

Therefore, the inverse of f(x) = 2x - 10.

()
8
What is 11 - 2³?

Answers

Answer:

[tex]11 - 2 {}^{3} [/tex]

[tex]11 - 8[/tex]

[tex]3[/tex]

correct function combinations to x2-7x-18

Answers

The factors of the function after factorization f(x)=[tex]x^{2} -7x-18[/tex] is (x+2) and (x-9)

Given Function  f(x)=[tex]x^{2} -7x-18[/tex] and we have to find the factors of the given function.

The function whose factors are to be found is   f(x)=[tex]x^{2} -7x-18[/tex]

Factorization means finding various expressions which when together multiplied will give the  function itself. Correct combination can only be found by finding the factors of the function. Without finding factors no one can find the solution of an equation or expression also.

f(x)=[tex]x^{2} -9x+2x-18[/tex]

=x(x-9)+2(x-9)

=(x+2)(x-9)

Hence the  factors which when combine together gives function f(x)=[tex]x^{2} -7x-18[/tex] are (x+2)(x-9).

Learn more about factorization at https://brainly.com/question/25829061

#SPJ10

A triangular pyramid has a triangular base with height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume?
18 cubic inches
27 cubic inches
3 cubic inches
9 cubic inches

Answers

Answer:

V = 9 in^3

Step-by-step explanation

Comment

The formula for a Pyramid of any B is V = B * h / 3. You have to be able to calculate the Base or just be given in it.

In this case the Base is a triangle. So the first thing needed is the area of the base.

Base

Area_triangle = base length * height / 2

Neither the Base length nor the height need to be the same as the B and h used for the volume of the Pyramid

Givens

b = 4 inches

h = 1.5 inches

Area_triangle = 4 * 1.5 / 2

Area_triangle = 2 * 1.5

Area_triangle = 3 inches^2

Solution

Base (triangle) Area = 3

h = 9

V = B * h / 3  

V = 3 * 9 / 3

V = 9 cubic inches

Answer V = 9 in^3

Scott started his bank account with $150 and is spending $7 per day on lunch. The x-axis would be labeled:

Answers

The x axis is labeled as Number of days.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

let x be the  number of days and y be money.

So, the equation is

y = -7x + 150.

Hence, the x axis is labeled as Number of days.

Learn more about this concept here:

https://brainly.com/question/1509203

#SPJ1

Mrs. Juergen's class is building a model city from craft sticks. each house requires 267 sticks. the class will build 93 houses. About how many sticks will be needed?​

Answers

all you need to do is 267 times 93 to get the exact answer. the questions says ABOUT how many sticks so we can round the numbers. we can turn 267 into 270 and 93 into 90 and then multiply 270 by 90 to get 24,300 popsicle sticks
Other Questions
Help please !! Urgently I need thus as fast as possible pleaseee Amy often visibly displays her emotions. She does not try to hide them. Which culture is she most likely from? Penalties for violating provisions of the responsible beverage service program are meant to serve as:. What is acceptable healthy body fat percentage for men? about 15% about 20% no higher than 25% no more than 30% Elizabeths first research question is How did Theseus overcome the Minotaur? What should her second research question be, and what would be the most credible source for research? Help will give br brainlesssssss Access control controls access based on the roles that users have within the system and on rules stating what accesses are allowed to users in given roles Kubin Company's relevant range of production is 29,000 to 33,000 units. When it produces and sells 31,000 units, its average costs per unit are as follows: Direct materials $8.90Direct labor $5.90Variable manufacturing overhead $3.40Fixed manufacturing overhead $6.90Fixed selling expense $5.40Fixed administrative expense $4.40Sales commissions $2.90Variable administrative expense $2.401. If 29,000 units are produced and sold , what is the variable cost per unit produced and sold ? 2. If 33,000 units are produced and sold , what is the variable cost per unit produced and sold ? 3. If 29,000 units are produced and sold , what is the total amount of variable cost related to the units produced and sold ? 4. If 33,000 units are produced and sold , what is the total amount of variable cost related to the units produced and sold ? 5. If 29,000 units are produced , what is the average fixed manufacturing cost per unit produced ? 6. If 33,000 units are produced , what is the average fixed manufacturing cost per unit produced ? 7. If 29,000 units are produced , what is the total amount of fixed manufacturing overhead incurred to support this level of production ? 8. If 33,000 units are produced , what is the total amount of fixed manufacturing overhead incurred to support this level of production ? Why was the discovery of cuneiform so important in the study of ancient civilizations?A. because it provided a written record of daily life in SumerB. because it helped archaeologists find other civilizations to studyC. because it represented the largest work of art found in Sumer Which is the closest synonym for the word "pursue?" Keisha will run in the spring 5k race, so she had started a training program next monday. which correction of the underlined verb phrase fixes the inappropriate shift in tense in this sentence? started will have started will start has started Managers will invest in Human Resource Management only if, human resource practices such as developing staff, and communication will result in greater profits. Discuss. 3. According to the psychoanalytic perspective of personality, personality is based onO A. unconscious experiences while growing up.B. a combination of unique traits.O C. genetics.OD. religious practices. Their victory depended on the __________ leader Odysseus.a. unparalleledb. unconquerablec. clever Find the distance between the points (-4, 2) and (2, -1).Give an exact answer in simplest radical form. Do not round. The energy produced by the snack in an experiment is calculated to be 41,800 J/g. What is the energy of the snack in Calories/gram?snack energy = [?] Cal/g or kcal/gremember there are 4.18J per 1 calorie Which is an example of a recent development used to address foodshortages in urban areas?A.B.C. Belfast Giants have played 5 matches and the mean number of goals scored is 3When they play the 6th match, the mean increases to 4. Saturday, the first of January, nineteen forty-four. Another new year has begun and we find ourselves still in our hiding place. We have been here now for one year, five months, and twenty-five days. It seems that our life is at a standstill.Which type of conflict does this excerpt show?character vs. charactercharacter vs. societycharacter vs. selfcharacter vs. nature ) Among adults in the United States, a higher percentage of men than women are overweight or obese