Complete the angle addition postulate for the following angle

Complete The Angle Addition Postulate For The Following Angle

Answers

Answer 1

Answer:

measure of angle GEO.....


Related Questions

A trained stunt diver is diving off a platform that is 15 m high into a pool of water that is 45 cm deep. The height, h, in meters, of the stunt diver above the water, is modeled by h=-4.9t^2+12t+5, where t is the time in seconds after starting the dive.

a) How long is the stunt diver above 15 m?

b) How long is the stunt diver in the air?

Answers

Answer:

a) 0 seconds.

b) The stunt diver is in the air for 2.81 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Height of the diver after t seconds:

[tex]h(t) = -4.9t^2 + 12t + 5[/tex]

a) How long is the stunt diver above 15 m?

Quadratic equation with [tex]a < 0[/tex], so the parabola is concave down, and it will be above 15m between the two roots that we found for [tex]h(t) = 15[/tex]. So

[tex]h(t) = -4.9t^2 + 12t + 5[/tex]

[tex]15 = -4.9t^2 + 12t + 5[/tex]

[tex]-4.9t^2 + 12t - 10 = 0[/tex]

Quadratic equation with [tex]a = -4.9, b = 12, c = -10[/tex]. Then

[tex]\Delta = 12^{2} - 4(-4.9)(-10) = -52[/tex]

Negative [tex]\Delta[/tex], which means that the stunt diver is never above 15m, so 0 seconds.

b) How long is the stunt diver in the air?

We have to find how long it takes for the diver to hit the ground, that is, t for which [tex]h(t) = 0[/tex]. So

[tex]h(t) = -4.9t^2 + 12t + 5[/tex]

[tex]0 = -4.9t^2 + 12t + 5[/tex]

[tex]-4.9t^2 + 12t + 5 = 0[/tex]

Quadratic equation with [tex]a = -4.9, b = 12, c = 5[/tex]. Then

[tex]\Delta = 12^{2} - 4(-4.9)(5) = 242[/tex]

[tex]x_{1} = \frac{-12 + \sqrt{242}}{2*(-4.9)} = -0.36[/tex]

[tex]x_{2} = \frac{-12 - \sqrt{242}}{2*(4.9)} = 2.81[/tex]

Time is a positive measure, so we take 2.81.

The stunt diver is in the air for 2.81 seconds.

please help me 2 The two lines shown below are perpendicular. If the slope of the red line is 5 what is the slope of the green line? Use a slash mark (/) as a fraction bar if necessary. 15 O A. O OB. 5 min O c. O c tole D. O​

Answers

Answer:

-5/2

Step-by-step explanation:

Perpendicular slope is always the negative reciprical. This basically means the opposite sign and the nubers are flipped.

PLZ HELP ILL GIVE BRAINLIEST IF RIGHT!!!

Rosa has already written 11 pages ,and she expects to write 3 pages for every additional hour spent writing. How many hours will Rosa have to spend writing this week in order to have written a total of 47 pages?

Answers

Answer:

12 hours

Step-by-step explanation:

pages total = pages written + pages per hour * number of hour

47 = 11 + 3*h

Subtract 11 from each side

47 -11 = 11 +3h -11

36 = 3h

Divide by 3

36/3 = 3h/3

12 = h

Evaluate (xy) ^-6 if x = 3 and y = -1.
A. 3
B. -1/729
C. 1/73
D. 1/729

Answers

the answer is c 1/73

The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle?

Answers

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

[tex] {(x - h)}^{2} + {(y - k) }^{2} = {r}^{2} [/tex]

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

[tex] {x}^{2} - 2x[/tex]

we can see that if use -1 as the constant we have

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

doing the same for y

[tex] {y}^{2} - 4y[/tex]

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

[tex] {(y - 2)}^{2} = {y}^{2} - 4y + 4[/tex]

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

Which ordered pair is a solution of the equation y = -7x + 2
A. (1,2)
B. (8, -54)
C. (5, -35)
D. (1, -7)

Answers

Answer:

B. (8, -54)

Step-by-step explanation:

y = -7x + 2

Check to see if the point makes the equation true

A. (1,2)  2 = -7(1)+2 = -7+2 = 5   False

B. (8, -54) -54 = -7(8)+2 = -56+2 = -54  True

C. (5, -35)  -35 = -7(5) +2 = -35+2 = -33 False

D. (1, -7)  -7 =-7(1)+2 = --7+2 = -5  False

Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expenditure. The capital of the two partners together is given by polynomial 6x² + 11x – 35 which is the product of their individual share factors.
a-The value of x, when their total share is equal to 0?
b-The total expenditure of Vicky and Micky when x = 10 is (in Rs
c-The sum of their expenditure is


Answers

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of x in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8

Answers

Answer:

Explanation:

Hey there!

Please see your required solution in picture.

Quotient Q(X) = 3x²-x+4

Hope it helps!

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

6. A bought 3 3 by 2 kg of wheat and 2 1 by 2kg of rice. Find the total weight of wheat and rice
bought.......




please answer the question proccesfuly.

the answer which is the best I will mark it as braunlist.​

Answers

Answer:

Step-by-step explanation:544

Answer:

total weight of wheat and rice is 8 kg

Step-by-step explanation:

rice = [tex]3\frac{3}{2}[/tex]

=3*2+3/2

=9/2

wheat = [tex]2\frac{1}{2}[/tex]

=2*2+1/2

=5/2

total weight of wheat and rice = [tex]\frac{7}{2} + \frac{9}{2}[/tex]

since their denominator are same u can add numerators.

=7 +9/2

=16/2

=8

CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU

Answers

Answer:

[tex]10\frac{7}{18}[/tex]

Step-by-step explanation:

First revert it to improper fraction.

[tex]\frac{13}{2} +\frac{35}{9} \\\\[/tex]

Now put them to a common denominator.

[tex]\frac{187}{18}[/tex]

=> [tex]10\frac{7}{18}[/tex]

căn bậc hai của (x^2-2x-3)

Answers

[tex]heres \: the \: answer \: i \: hope \: it \: help[/tex]

Play the four digit 3,5,7,and 9 into the boxes pure in the position that would give the greatest results in the true numbers are multiplied

- 73X95
- 79X53
-97X35
-93X75

Answers

Answer:

- 9 3 x 7 5

Step-by-step explanation:

To get the combination that would yield the greatest result if the true number are multiplied,

i. multiply each given combination

73 x 95 = 6935

79 x 53 = 4187

97 x 35 = 3395

93 x 75 = 6975

ii. get the largest result from the results calculated above in (i)

The greatest of the results is 6975, therefore the digits should be placed like so;

9   3

7   5

HELP PLZ
Possible values for the area A of the rectangle shown are 12 - As 36. Write and
solve a compound inequality to find the possible values of x. Are these values all
viable in this situation?
2x + 1
3

Answers

Answer:

i had the exact same question as this, dm me on discord so i can screenshare my answer

Step-by-step explanation:

jey0001 is my discord

Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?

Step by step please.

Answers

Answer:

Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.

Step-by-step explanation:

Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:

10,000 x 0.08 + 0 x 0.12 = 800

8,000 x 0.08 + 2,000 x 0.12 = 880

4,500 x 0.08 + 5,500 x 0.12 = 1,020

6,000 x 0.08 + 4,000 x 0.12 = 960

6,500 x 0.08 + 3,500 x 0.12 = 940

6,400 x 0.08 + 3,600 x 0.12 = 944

Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.

How many cups of chocolate would Linda need for 2 cups of cream

Answers

I don’t know how to solve this one but use Y and find the slope and get Y alone

Plz solve this question correctly.
Show the steps needed to solve it.

Answers

Answer:  378y^3

Step-by-step explanation:

the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height

if we plug the numbers from the picture in, the formula would look like this:

V = 9y * 7y * 6y

to solve you just multiply them together

V = 378 y^3

An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown
below.
y = x + 10
y=-x+3
Which of the followine statements is a correct step to find x and y?
A add the equations to eliminate x
B multiply the equations to eliminate y
C write the points where the groans of the equation intersect the x axis
D write the points where the graphs equation intersect the y axis

Answers

Answer:

a. add the equations to eliminate x

Step-by-step explanation:

this is called process of elimination

Find the equation of the line with slope -2 which goes through the point (9,-7).
Give your answer in slope-intercept form y = mx + b.

Answers

The answer is y= -2x-7

Help me with this question too

Answers

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health sciences was . The average starting salary for new college graduates in business was (National Association of Colleges and Employers website). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is . Assume that the standard deviation for starting salaries for new college graduates in business is .

Answers

Answer:

0.110

0.230

Step-by-step explanation:

Given :

In health :

Average salary, m = 51,541

Standard deviation, s = 11000

In Business :

Average salary, m = 53,901

Standard deviation, s = 15000

Since distribution is approximately normal ;

We can obtain the standardized scores and find the probability ;

Zscore = (x - mean) / standard deviation

Probability of earning salary if atleast $65,000

Health:

P(Z ≥ (65000 - 51541) / 11000) = P(Z ≥ 1.224) = 0.11048 (Z probability calculator)

Business :

P(Z ≥ (65000 - 53901) / 15000) = P(Z ≥ 0.740) = 0.22965 (Z probability calculator)

Hence, the probability of earning a starting salary of atleast $65,000 is :

Health = 0.11048

Business = 0.22965

help -------------------------

Answers

Answer:

(A) -3 ≤ x ≤ 1

Step-by-step explanation:

The given function is presented as follows;

h(x) = x² - 1

From the given function, the coefficient of the quadratic term is positive, and therefore, the function is U shaped and has a minimum value, with the slope on the interval to the left of h having a negative rate of change;

The minimum value of h(x) is found as follows;

At the minimum of h(x), h'(x) = d(h(x)/dx = d(x² - 1)/dx = 2·x = 0

∴ x = 0/2 = 0 at the minimum

Therefore, the function is symmetrical about the point where x = 0

The average rate of change over an interval is given by the change in 'y' and x-values over the end-point in the interval, which is the slope of a straight line drawn between the points

The average rate of change will be negative where the y-value of the left boundary of the interval is higher than the y-value of the right boundary of the interval, such that the line formed by joining the endpoints of the interval slope downwards from left to right

The distance from the x-value of left boundary of the interval that would have a negative slope from x = 0 will be more than the distance of the x-value of the right boundary of the interval

Therefore, the interval over which h has a negative rate of change is -3 ≤ x ≤ 1

How much almond milk does James use per teaspoon of cashew butter

Answers

Put the whole problem, we need more information

I need help, please!! I'll give a brainliest

Answers

Answer:

metals or metalloids

Step-by-step explanation:

I'm built different i dont know if im right about the question. im just not sure if i understood the question correctly

The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the present ages

Answers

Answer:

Presently; Veeru is 15 and Neeru is 20

Step-by-step explanation:

Given

See comment for proper format of question

Let their present ages be x and y

So:

[tex]x : y = 3 : 4[/tex]

5 years time, the ratio will be:

[tex]x + 5: y + 5= 4 : 5[/tex]

Required

Their present ages

Express both ratios as fractions

[tex]x : y = 3 : 4[/tex] becomes

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

and

[tex]x + 5: y + 5= 4 : 5[/tex] becomes

[tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]

Make x the subject in: [tex]\frac{x}{y} = \frac{3}{4}[/tex]

[tex]x = \frac{3}{4}y[/tex]

[tex]x = 0.75y[/tex]

Cross multiply in [tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]

[tex]5(x + 5) = 4(y + 5)[/tex]

Substitute [tex]x = 0.75y[/tex]

[tex]5(0.75y + 5) = 4(y + 5)[/tex]

Open brackets

[tex]3.75y + 25 = 4y + 20[/tex]

Collect like terms

[tex]3.75y -4y = -25 + 20[/tex]

[tex]-0.25y = -5[/tex]

Divide by -0.25

[tex]y = 20[/tex]

Substitute [tex]y = 20[/tex] in [tex]x = 0.75y[/tex]

[tex]x = 0.75 * 20[/tex]

[tex]x = 15[/tex]

HELP NEEDED ASAP!! Find the sine of B

Answers

Sine uses opposite divides by hypotenuse.

Therefore,

Sin B = √70/√95

Simplify

Sin B = √14/19

А
E
F
B1
2
2x
135°
750
2x -15°
12
G
H
I
C3
D
Determine the value of x.​

Answers

i wonder this is math problem or code word for treasure

Answer:

Step-by-step explanation:

(2x-15) = 45

Step-by-step explanation:

When two angles lie on a straight line, they are supplementary

what this mean is that the add up to equal 180 degrees

Mathematically, we have this as:

(2x-15) + 135 = 180

(2x-15) = 180-135

(2x-15) = 45

Can someone help me? Which of the following verifies that triangle YXZ is similar to triangle QPR?

Answers

Answer:

a

Step-by-step explanation:

The recursive formula to describe a sequence is shown below.
PART A:
State the first four terms of this sequence.
PART B:
Can this sequence be represented using an explicit geometric formula? Justify your answer.

Answers

The first four terms of the sequence are 3, 7, 15, and 31. This sequence is represented using an explicit geometric formula.

What is the recursive rule?

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

PART A:

State the first four terms of this sequence.

[tex]a_1 = 3\\\\a_n = 1+ 2a_{n-1}[/tex]

[tex]a_2 = 1+ 2a_{2-1}\\\\a_2 = 1+ 2a_{1}\\\\a_2 = 7\\\\a_3 = 1+ 2a_{2}\\\\a_3 = 15\\\\a_4 = 1+ 2a_{3}\\\\a_4 = 31\\[/tex]

PART B:

This sequence is represented using an explicit geometric formula.

Learn more about the recursive rule and explicit rule here:

https://brainly.com/question/12620593

#SPJ2

simplify the question

Answers

Answer:

=−4√2​

I got this when simplified.

Calculus 2. Please help

Answers

Answer:

[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}}} \, dx = \infty[/tex]

General Formulas and Concepts:

Algebra I

Exponential Rule [Rewrite]:                                                                           [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Limits

Right-Side Limit:                                                                                             [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integrals

Definite Integrals

Integration Constant C

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

U-Solve

Improper Integrals

Exponential Integral Function:                                                                              [tex]\displaystyle \int {\frac{e^x}{x}} \, dx = Ei(x) + C[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]

Step 2: Integrate Pt. 1

[Integral] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \int\limits^1_0 {\frac{e^{-x^2}}{x} \, dx[/tex][Integral] Rewrite [Improper Integral]:                                                         [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \int\limits^1_a {\frac{e^{-x^2}}{x} \, dx[/tex]

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Set:                                                                                                                 [tex]\displaystyle u = -x^2[/tex]Differentiate [Basic Power Rule]:                                                                 [tex]\displaystyle \frac{du}{dx} = -2x[/tex][Derivative] Rewrite:                                                                                     [tex]\displaystyle du = -2x \ dx[/tex]

Rewrite u-substitution to format u-solve.

Rewrite du:                                                                                                     [tex]\displaystyle dx = \frac{-1}{2x} \ dx[/tex]

Step 4: Integrate Pt. 3

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} -\int\limits^1_a {-\frac{e^{-x^2}}{x} \, dx[/tex][Integral] Substitute in variables:                                                                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} -\int\limits^1_a {\frac{e^{u}}{-2u} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}\int\limits^1_a {\frac{e^{u}}{u} \, du[/tex][Integral] Substitute [Exponential Integral Function]:                                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(u)] \bigg| \limits^1_a[/tex]Back-Substitute:                                                                                             [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(-x^2)] \bigg| \limits^1_a[/tex]Evaluate [Integration Rule - FTC 1]:                                                             [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(-1) - Ei(a)][/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{Ei(-1) - Ei(a)}{2}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \infty[/tex]

∴  [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]  diverges.

Topic: Multivariable Calculus

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As a sample's temperature increases, which two factors also increase?A. Particle sizeB. Particle boiling pointDC. Particle kinetic energyD. Particle speed Determine whether or not each ion contributes to water hardness. a. Ca2+b. (HCO)3^-c. K+d. Mg2+ What is the length of leg s of the triangle below?45987290+45A. 8B. vC. 8-12D. 4.2E. 1F. 2 A rectangle has a perimeter of `52` cm. Its width is `9` cm.what is the length of the rectangle Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle? What are the reproductive organs? What animals reproduce through the sexual method? Plss answer fastSubject is science it's not in the options so I put health please answer fast A) What hardship is Bryan facing as he moves to Alabamaand prepares to visit his first clients? B) Why do you think theprison guard forced Bryan to be strip searched? Directions: Consider a pedigree that is tracking an autosomal recessive trait, where two recessive alleles (tt) resultin the inability to taste a chemical known as PTC. The ability to taste PTC is determined by the presence of adominant allele (T). Complete the missing boxes in the chart. The first row has been done for you as an example!Note: The ability to taste PTC may be more complex than a simple gene trait.Individual PhenotypeShaded?PTC tasterShape (in Pedigree)Square2.No1.3.4.5.6.Male with genotype TTMale with genotype TtMale with genotype ttFemale with genotype TTFemale with genotype TtFemale with genotype tt7.8.9.10.11.12.13.14.15. Expand & simplify ( 3 x 2 ) ( 3 x - 2 ) + ( x + 6 ) ( x 8 ) Read the following summary of The Book of Job from the Bible:God believes that Job is a humble and devout man. Satan, however, challenges God, saying that Job is virtuous and moral only because God blessed him with good fortune. Satan makes a bet with God that if Job experiences suffering, his devotion will falter and he will curse God. A series of disasters strike Jobs life. All of his children die, his livestock dies, most of his servants are killed, and he is left with nothing. Job is devastated, but he doesnt blame God for the tragedies. Satan then plans another test for Job. He is struck with a horrible skin disease. Three of Jobs friends arrive to comfort him, and Job finally questions the injustice done to him. His friends criticize him for challenging Gods will. They suggest that his misfortune is probably a result of some sin he committed. Job replies that he is innocent and pleads for a fair hearing from God. God answers Jobs challenge by asking him if he can do the things that God can, after which Job apologizes. Finally, God scolds Job's companions and restores Job's life, giving him back his children and twice as much wealth as he had before.How is the character of Ebenezer Scrooge similar to Job?A. Scrooge and Job are patient and devout men who learn greater humility.B. Scrooge and Job go through experiences that make them change their outlook on life.C. Scrooge and Job believe that they are better than other people because of their good fortune.D. Scrooge and Job believe they have done no wrong and their suffering is unjust.E. Scrooge and Job feel left out of Gods plans and therefore dont owe him any loyalty. How do managers handle 2 challenges of each of the 8ms of management to effectively and efficiently steer their organization in a globally competitive environment and thus achieve the organizational goals You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 7% interest.a) How big of a loan can you afford? Round your answer to the nearest dollar.Sb) How much total money will you pay the loan company? Round your answer to the nearest dollar.C) How much of that money is interest? Round your answer to the nearest dollar.SQuestion Help: D Postito forumSubmit Question express 0.484848..... in p/q form Hello, Can yall please help me out? Question 1(Multiple Choice Worth 2 points)(07.03 LC)What is one characteristic of a good citizen? Angry Uninformed Helpful Always right (3^3 3^2 3^6)^-4 help me plss if you see this help i have a short time or this for will close with respect to air the refractive index of ice is 1.31 and that of rock salt is 1.54 calculate the refractive index of rock salt with respect to ice In two hours JustBorn Candies can produce 30,000 Peeps or 90,000 Mike and Ikes or any combination in between.a. What is the trade-off between Peeps and Mike and Ikes?i. For every Peep, 9 Mike and Ikes can be produced.ii. For every Peep, 1/3 Mike and Ike can be produced.iii. For every Mike and Ike, 3 Peeps can be produced.iv. For every Peep, 3 Mike and Ikes can be produced.b. Draw a production possibility curve that reflects this trade-off.c. Identify the placement of the following points on the production possibility curve.i. An efficient production point is (Click to select)inside the production possibility curveoutside the production possibility curveon the production possibility curve.ii. An inefficient production point is (Click to select)on the production possibility curveoutside the production possibility curveinside the production possibility curve.iii. An impossible point is (Click to select)on the production possibility curveoutside the production possibility curveinside the production possibility curve.d. Illustrate what would happen if JustBorn candies developed a technology that increased productivity by one third for both products. One statement is an example of a scientific observation. Another statement is an example of a scientific explanation. Identify the correct statement for each category to illustrate how scientific explanations are inferred from scientific observations.Cloning has the potential tosignificantly benefit a great manypeople, so it should not beconsidered immoral or risky.A scientist thinks that he mightfind serious inconsistencies in thefossil record if he conducts anexcavation in a new location.The rocks present in western Africaand eastern South America formedat the same place and at thesame time.Even if modern organisms arefound in ancient portions of thefossil record, this wouldn't challengethe theory of evolution in any way.The cloning of organisms is anexciting area of study, and moreresources should be be devotedto it.The age, type, and composition ofancient rocks in western Africa arenearly identical to the age, type,and composition of rocks ineastern South America. what was the comprehensive list of existing roman laws created by justinian i called