write the equation of the circle graphed below

Write The Equation Of The Circle Graphed Below

Answers

Answer 1

Answer:

Step-by-step explanation:

Comment

The basic equation of a circle is

(x - a)^2 + (y - b)^2 = r^2

a and b are the coordinates of the center of the circle

r is the radius.

Development of the equation

r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.

So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2

The center is the red dot.

x = 1

y = - 1

Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4


Related Questions

Which angle is in standard position?

Which angle is in standard position?

Answers

From the information in the images provided, none of the angles are in standard position. See the explanation below.

What does it mean for an angle to be in a standard position?

An angle is said to be in standard position if its vertices is at the origin and one of its rays is on the positive x-axis. The ray on the x-axis is known as the starting side, while the other ray is known as the proximal end.

The ray on the x-axis is known as the starting side, while the other ray is known as the terminal side. A quadrantal angle is one in which the terminal side of an angle is "on" the axis (for example, 0°, 90°, 180°, 270°, 360°). Because its terminal side is in Quadrant II, the angle illustrated on the right is known as a Quadrant II angle.

Hence, from the above, it is clear that none of the angles shown in the original image is on the standard position.

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Which angle is in standard position?

Answer:

The 45 degree angle. Pic below. :3

Step-by-step explanation:

Edge 2023 got 100% on the quiz rn. <3

Which angle is in standard position?

Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.​

Answers

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2

Given the diagram below, what is cos(45*)?8 2450Triangle not drawn to scaleO A. 1/2O B. 2 2O C. 4 2O

Answers

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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The Beta club is selling chocolate to raise money for Beta convention. Chocolate bars sell for $1.25 each and chocolate covered almonds sell for $2.00 each. The Beta club needs to raise more than $375 for all members to attend the convention. The students can sell up to 500 bars and covered almonds altogether.

1. Write a system of inequalities that can be used to represent this situation.



2. The club sells 100 chocolate bars. What is the least number of chocolate covered almonds that must be sold to cover the cost of attending Beta convention? Justify your answer.

Answers

The system of inequalities is 1.25x + 2y >= 375 and x + y <= 500, while the smallest number of chocolate covered almonds is 400

The system of inequalities

We make use of the following representations:

x = chocolate bars

y = chocolate covered almond

Using the above as a guide, and the given parameters;

We have:

1.25x + 2y >= 375 -- the amount raised

x + y <= 500 --- number of bars sold

The least number of chocolate covered almonds that must be sold

From the question, we have

x = 100

Substitute x = 100 in x + y <= 500

100 + y <= 500

Evaluate

y <= 400

So, the least amount to sell is 400

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Solve for v 29 = -8v - 7 + 5v Simplify your answer as much as possible​

Answers

Answer:

v = -12

Step-by-step explanation:

29 = -8v - 7 + 5v

Combine the 'like terms':  

29 = (-8v + 5v) - 7

29 = -3v -7

Add 7 to both sides:

29 + 7 = -3v -7 +7

36     =    -3v + 0

36      =    -3v

Divide both sides by the coefficient in front of the variable 'v' because we want to get 'v' all by itself. So, divide by -3.

36/-3 = -3v/-3

   -12  =  v

And that is the answer, v is negative twelve

Answer:

v=

Step-by-step explanation:

29= -8v- 7 + 5v

-8v + 5v - 7 = 29

-3v - 7 = 29

-3v - 7 + 7 = 29 + 7

-3v = 36

-3v ÷ -3 = 36 ÷ -3

v = -12

Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.

Answers

The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

How to determine the solution to the objective function value of a linear program

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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two pounds of flour cost 1.20 .How much flour do you get per dollar?

Answers

1.67 pounds flour we get per dollar.

What does pounds mean in weight?

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

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why
do we use
quartz clock

Answers

Answer:

because see a time

Step-by-step explanation:

HELP Jonah bought 3 packages of hot dogs and 2 packages of hot dog buns and paid $21.90. He went back and purchased 2 more hot dog packages of and 5 more packages of hot dog buns and paid $23.40. Assuming there was no change in the individual cost of each item, what is the cost per package of hot dogs and hot dog buns? SHOW WORK PLS

Answers

Answer:

each hotdog package 7.30

each hotdog buns package 3.65

What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 71
7 1
C.
9
D. 10
E. 17.

What is the sum of the solutions of the 2 equationsbelow?8x = 122y + 10 = 22A. 23B. 717 1C.9D. 10E. 17.

Answers

8x = 12

Divide both sides by 8

x = 12/8 = 3/2

2y + 10 = 22

Subtract 10 from both sides.

2y = 12

Divide both sides by 2

y = 6

6 + 3/2 = 7 1/2

Answer:

7.5 or 7½

Step-by-step explanation:

8x÷4 = 12÷4

2x = 3

x = 3/2 = 1.5

2y + 10 = 22

2y = 12

y = 6

1.5 + 6 = 7.5 = 7½

Find the cost to carpet a 15ft. by 18ft. room if the carpet costs $25.95 per square yard.

Answers

The cost of the carpet will be $2,335.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The dimensions of the carpet are;

⇒ 15 feet by 18 feet

Now,

The area of the carpet = 15 x 18

                                   = 279 feet²

                                   = 270 / 3 yards²

                                   = 90 yards²

Since, The carpet costs = $25.95 per square yard.

Hence, The carpet cost for 90 yards² = 90 x $25.95

                                                          = $2,335.5

Thus, The cost of the carpet will be $2,335.5.

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Part 2
Bc my autocorrect messed up my other question.

Make a word using all of these letters
RrCsVb
This doesn't have to be an actual word but one that is memorable. Please use all of the words

Answers

Answer:

CrabSVR

BRscrV

ScarbRV

VRbScCr

Step-by-step explanation:

I can suggest that some of these words might be memorable because they are short and have a combination of consonants and vowels that make them sound unique and catchy. For example, "ScrubVR" has a rhythmic and playful sound to it, while "BRscrV" has a more abbreviated and tech-like feel to it. Ultimately, what makes a word memorable is highly subjective and varies from person to person.

Answer: he right

Step-by-step explanation:

cuál es la regla algebraica ? por favor​

cul es la regla algebraica ? por favor

Answers

Answer:

esto es correcto, la y sigue siendo la misma

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

y = 4

Por que y siempre es equitativo a cuatro.

Perdón por los errores en mi español. Es mi segundo idioma.

The first step to solve the equation 4 3 4 16 is shown below. X G 3 164 3 4 4 4 4 Which property was applied in this step? O Addition Property of Equality O Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

The first step to solve the equation 4 3 4 16 is shown below. X G 3 164 3 4 4 4 4 Which property was

Answers

In this case, we use the addition property of equality: if w

The first step to solve the equation 4 3 4 16 is shown below. X G 3 164 3 4 4 4 4 Which property was

Please I need help badly please no links or I will report you

Please I need help badly please no links or I will report you

Answers

Answer:

17.5 is going to be your answer

Premature Birth and Education Does the length of term of pregnancy play role in the level of education of the baby? Researchers Norway followed over million births between 1967 and 1988 and looked at the educational attainment of the children: The following data are dased the results of their research: Note that full-term pregnancy 38 weeks. gestational period independent of completing high school diploma? Use the 0.05 level of significance. Show five steps unnmen Perud (neeks) 21-27 272 W4J6 J7-2 4 04 Than Hih Ved Sbor [get 30n)

Answers

The length of pregnancy does play a role in the education level of the baby. A significant relationship can be established using the chi square test.

What is a chi square test?

A chi square ( χ2) test is performed in order to find a co relation between two unrelated variables. The main objective of the test is to prove whether the relationship holds true or is just a product of mere chance. For example, if we are conducting a survey of two different parameters, first being the population of people who are married and the other about their educational qualification, we will get two distinct table of values without any significant co relation. But now if we want to establish a relationship, lets say that married people have less educational qualifications, we need to prove our statement by performing a chi square test. The final value can either be a null hypothesis which states that their is no convincing relationship between the two parameters or can be a alternate hypothesis with significant co relation.

Using chi square for the problem:

Following data can be represented on tabular form and calculated:

                                                  Gestation Period (Observed)

                                     22-27       28-32       33-36       37-42       43+    Tot

Less than high   YES    14              34            140           1010         81     1279

school degree     NO    26             65            343          3032      208   3674

                                      40             99            483          4042      289   4953

                                                   Gestation Period (Expected)

                              YES   10.32     25.56        124.72    1043.75    74.62

                              NO     29.67    73.43        358.27    2998.24   214.37

χ2 = ∑ \(\frac{(Observed-Expected)^2}{Expected}\)

= \(\frac{13.54}{10.32} +\frac{71.23}{25.56} +\frac{233.47}{124.72} +\frac{1139.06}{1043.75} +\frac{40.70}{74.62} +\frac{13.46}{29.67} +\frac{233.17}{358.27} +\frac{1139.73}{2998.24}+\frac{40.57}{214.37}\)

= 1.31+2.78+1.87+1.09+0.54+0.45+0.96+0.65+0.38+0.18 = 10.21

Now, calculating the degree of freedom= (coulmn-1)(row-1)= (5-1)(2-1) = 4

Looking at the reference table at 0.05 significance level, the value is 9.488

As the calculated value is more than the table value/critical value, null hypothesis can be rejected proving the alternate hypothesis that there might be a relationship between gestation period of a mother and the education level of her kid.

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Jaxon paid for 6 pounds of meat to be delivered.
Each pound of meat cost $13.75.
Jaxon paid $12.60 for delivery.
What is the total amount Jaxon paid?
A. $156.75
B. $26.35
C. $95.10
D. $89.35

Answers

Answer:

C/95.10

Step-by-step explanation:13.75 x 6 =82.5+12.60=95.1

The original plan for assigning telephone numbers that you investigated in
Applications Task 4 was implemented in
1947. At that time, the supply of numbers was expected to last for 300 years. However, by the 1970s the numbers were already starting to run out. So, the numbering plan
had to be modified. In this task, you will count the number of different phone numbers that were available in 2012.
a. For three-digit area codes, the first digit cannot be a 0 or a 1. Assuming no additional restrictions, how many three-digit area codes are possible under
this plan?
b. Certain area codes are classified as "Easily Recognizable Codes" (BRCs).
ERCs designate special services, like 888 for toll-free calls. The requirement for an ERC is that the second and third digit of the area code must be the same. The first digit again cannot be a 0 or a 1. How many ERCs are there?
c. Consider the seven digits after the area code. As with the area code, the first digit of the three-digit local prefix cannot be a 0 or a 1. The remaining six digits for the local number have no restrictions. How many of these seven-digit phone numbers are possible?
d. Assuming only the 0 and 1 restrictions in Parts a and c, how many ten-digit phone numbers are possible?

Answers

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.

Answers

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

What is trigonometry?

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?

Answers

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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I NEED HELP WITH STATISTICS

I NEED HELP WITH STATISTICS

Answers

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

What is a Type II error?

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.

Answers

Volume of the cylinder is 565.2cm^3
A cylinder has a height of 20 cm and a diameter of6 cm. What is the volume, in cubic centimeters, of

HURRY PLS
If 28 people like the new seafood salad out of the 48 people who tried it, what percent
like it?

Answers

Answer:

58.33 Percent

Step-by-step explanation:

28/48=0.583333=58.33 percent or just 58 percent

Could I pls have brainliest☹


Write the absolute value equations in the form (x – b |=c (where b is a number and c
can be either a number or an expression) that has the following solution set.

all numbers such that x>-1.3



Answers

The absolute value equation is:

|x + 1.3| = x  + 1.3

Working with absolute value equations:

The absolute value equation that we have is:

|x - b| = c

And we want that the solution set is all the numbers larger than -1.3

Now, remember that:

| something|  ≥ 0.

So the absolute value is always equal or larger than zero.

So, for example, the equation:

|x| = x

Only is true if x ≥ 0, because if x is smaller than zero, for example x = -2, we would have:

|-2| = -2

2 = -2

Which is false.

Now we want to have solutions larger than -1.3 instead of larger than zero, so we can write:

|x  + 1.3| = x + 1.3

The solution of this equation is the given set.

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The Area of a rectangle is 46sq in, length is 4 times width find dimensions

Answers

4 x w= 46
w=11.5
where w is the width

Answer:

I guess you need all your numbers to be multiblyed to get 46

Step-by-step explanation:

what is basikly the question

The functions f(x),g(x) and h(x)are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 7≤x≤8 goes from least to greatest.

Answers

The average rate of change arranged in the ascending order is shown as below -

r[g(x)] < r[f(x)] < r[h(x)]

What is average rate of change?

The average rate of change is the rate at which the value of y - variable varies with respect to x - variable.

Given are the functions f(x), g(x) and h(x).

We will calculate the average rates one by one as follows -

For the function f(x) -

(- 8, - 5)

( 7, 25)

Average rate will be -

r[f(x)] = (25 + 5)/(7 + 8)

r[f(x)] = 30/15 = 2

For the function g(x) -

(-8, 99)

(7, 39)

Average rate will be -

r[g(x)] = (39 - 99)/(7 + 8)

r[g(x)] = - 60/15

r[g(x)] = - 4

For the function h(x) -

-x² + 5x + 27

for x = -8

h(x) = - 64 - 40 + 27 = - 77

for x = 7

h(x) = - 49 + 35 + 27 = 13

Average rate will be -

r[h(x)] = (13 + 77)/(7 + 8)

r[h(x)] = 90/15

r[h(x)] = 6

Therefore, the average rate of change arranged in the ascending order is shown as below -

r[g(x)] < r[f(x)] < r[h(x)]

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Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof

Answers

Answer:

Melissa

Step-by-step explanation:

Melissa: 18/20

Tom: 85/100

Find the common denomenater so multiply 18*5 and 20*5

Melissa: 95/100

95>85

Melissa has the greater mark

HEEEEEEEP
(b) A certain arcade game gives players tickets. The table below shows the
number of tickets a player gets for the number of points.
Tickets
Points
32
4
56
8
CO
63
9
O Each point does not always give the same number of tickets.
Each point appears to give the same numb of tickets.
Predicted number of tickets for getting 10 point:

Answers

Answer:

Step-by-step explanation: Can u show the picture of the table so i can understand this better

can i get help
please , i need these last 2

can i get helpplease , i need these last 2

Answers

Answer:

the value of x is 20°

Step-by-step explanation:

angle B=20°

angle A=80°

therefore ,you will now formulate an equation .

2(3x+20)+x=180°

7x+40=180°

7x=140

x=20°

now substitute

x=20°=angle B

3x+20°=80°=angle a

Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?

A. Do you like going to carnivals?

B. Do you like going to exciting carnivals?

C. Do you like traveling across town to go to carnivals?

D. Do you like going to noisy, overpriced carnivals?

Answers

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

How to get the best survey question

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in A' B' ? The ____ defines the major tasks or work elements that will need to be performed to accomplish the work that needs to be done and produce all the project deliverables.a. statement of workb. project scope documentc. network diagramd. work breakdown structure Consider all rectangles with an area of 200m^2. Let x be the length of one side of such a rectangle. Find the dimensions of a rectangle whose perimeter is 70m. A business is taking on economic losses in the short run. Which of the following must be true if it continues to produce during this period which type of molecule attaches itself to a ribosome, where it serves as a pattern for protein biosynthesis g Describe the two types of climate hypothesis that involve interactions between CO2 and weathering. 2. a. Which of the following best describes the Nun (the Prioress) in the Prologue from The Canterbury Tales? well educated and wise b. friendly and fun loving c. refined and sentimental d. strong and outspoken Jim and Larry are in the middle of a fight. Jim throws Larry headfirst into a car causing Larry to lose consciousness. What crime? Question 4 of 10Art conservation is necessary because:A. museums hold only a fraction of all paintings.B. buying and selling art is risky.C. many works of art are fragile.D. most artists make very little money. I've been staring at this for 15mins plz help .Answer the following questions in complete sentences:1) How do meteorologists predict the weather?2) What could prevent a cloud from forming even if the air is cooled below the dew point?3) Why isn't the mass of the atmosphere spread evenly throughout?4) Which topic(s) lend themselves to hands-on activities with students? Which would you use in your classroom? Read the excerpt from "Children of the Drug Wars."If many children dont meet strict asylum criteria but face significant dangers if they return, the United States should consider allowing them to stay using humanitarian parole procedures we have employed in the past, for Cambodians and Haitians. It may be possible to transfer children and resettle them in other safe countries willing to share the burden.What is the authors purpose in this excerpt? Read Queer/Fear: disability,sexuality,and The otherWhat's the relationship between self-determination and interdependence?According to Hirschmann. Provide details from the article and intext citations. How many cubes with side lengths of 1/3 does it take to fill the prism?5/3 x 4/3 x 2 Which strategies should you use to confirm or correct predictions while reading? Check all that apply.eliminate information that does not support your prediction. search for details that support your prediction. revise predictions based on new information.focus primarily on captions and end notes.consider information in text features and the main body of the text. Prions are infectious particles that can cause normal proteins to assume a misfolded shape. when the proteins assume an abnormal three- dimensional shape, they:_________ Find at least the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation. y'' + (x - 2)y' + y = 0 +... y(x) = (Type an expression in terms of a, and a that includes all terms up to order 3.) k(t)=8-t 1 N-sec/m As a spring is heated, its spring "constant" decreases. Suppose the spring is heated so that the spring "constant" at time t is k(t) = 8-t N/m. If the unforced mass-spring system has mass m= 2 kg and a damping constant b = 1 N-sec/m with initial conditions x(0) = 2 m and x'(0) = 0 m/sec, then the displacement x(t) is governed by the initial value problem 2x''(t) + x'(t) + (8 t)x(t) = 0; x(0) = 2, x'(0) = 0. Find the first four nonzero terms in a power series expansion about t = 0 for the displacement. 2 kg m heat x(t) x(0)=2 X'(0)=0 +... x(t) = (Type an expression that includes all terms up to order 4.) Find the first four nonzero terms in a power series expansion about Xo for a general solution to the given differential equation with the given value for Xo. x?y'' y' + 6y = 0; Xo = 1 + ... y(x)= (Type an expression in terms of ao and aq that includes all terms up to order 3.) Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y' - 2 e*y=0; y(O)= 1 + .. y(x) = (Type an expression that includes all terms up to order 3.) Clive needs to write 20 paragraphs for a school assignment. He has already written 10 and can write 5 paragraphs per hour. Clive solvesfor the number of hours it will take to complete his assignment by subtracting 10 from 20 and then dividing by 5.Which of the equations below can be solved using the same steps?O A 10z +5 - 20OB. 5z + 10 - 20OC. 5z + 10% = 20OD. 20z - 10% = 5 which of the following ventricles is found under the corpus callosum? view available hint(s)for part a which of the following ventricles is found under the corpus callosum? fornix lateral ventricles third ventricle fourth ventricle show that if r is an irrational number, there is a unique integer n such that the distance between r and n is less than 12.