Which of the following inequalities matches the graph?

Which Of The Following Inequalities Matches The Graph?

Answers

Answer 1

Answer:

6x - y < -3

Step-by-step explanation:

When graphing inequalities:

< or > = dashed line

≤ or ≥ = solid line

< or ≤ = shade below the line

> or ≥ = shade above the line

Create an equation for the line

Choose 2 points on the line:

let (x₁, y₁) = (-1, -3)let (x₂, y₂) = (0, 3)

Calculate the slope:

[tex]\sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-3)}{0-(-1)}=6[/tex]

Determine the equation for the line using the point-slope formula:

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

[tex]\implies \sf y-(-3)=6(x-(-1))[/tex]

[tex]\implies \sf y+3=6(x+1)[/tex]

[tex]\implies \sf y=6x+3[/tex]

As the shading is above the line:

⇒ y > 6x + 3

Compare with answer options

Rearrange each answer option to make y the subject:

Option (a)

-6x + y < 3

⇒ y < 6x + 3

Option (b)

6x + y < 3

⇒ y < -6x + 3

Option (c)

6x - y < -3

⇒ -y < -6x - 3

⇒ y > 6x + 3

Therefore, as option C matches the calculated inequality, the answer is

6x - y < -3

Answer 2

Answer:

6x - y < 3

Step-by-step explanation:

Finding the equation of the inequality :

Slope :

⇒ m = 3 - (-3) / 0 - (-1)

⇒ m = 6/1

⇒ m = 6

Y-intercept :

⇒ (0, 3)

Equation :

⇒ y = 6x + 3

Here :

⇒ Above the origin, so it is greater than ( > )

⇒ y > 6x + 3

6x - y < 3


Related Questions

- Which expression is equivalent to
2√48-(2+√12) (5-√12)?
0-EIS
A. 2√3+2
B. 2√3-2
34
C. 4√3+17
p. 4√3-17
Swoled
4.

Answers

Answer:

A.

Step-by-step explanation:

2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))

2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))

2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))

8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)

8×sqrt(3) - 10 - 6×sqrt(3) + 12

2×sqrt(3) + 2

The area of a square is 17 square feet which measure is closest to the length of one side of the square

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

As we know, Area of a square can be represented as :

[tex]\qquad \sf  \dashrightarrow \:area = side {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = s {}^{2} [/tex]

now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides

[tex]\qquad \sf  \dashrightarrow \:s {}^{2} = 17[/tex]

[tex]\qquad \sf  \dashrightarrow \:s = \sqrt{17} [/tex]

[tex]\qquad \sf  \dashrightarrow \:s \approx4.12 [/tex]

so, the closest value is : B. 4.1 feet

Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>

Answers

Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, with the general [tex]n[/tex]-th term

[tex]a_n = a_1 + (n-1) d[/tex]

Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :

[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]

[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]

[tex]\implies 5a_1 + 20d = 17[/tex]

and

[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]

[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]

[tex]\implies 5a_1+25d= 15[/tex]

Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :

[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]

[tex]\implies 5a_1 = 25[/tex]

[tex]\implies \boxed{a_1 = 5}[/tex]

Angad and Alex have played 40 tennis matches.
Angad has won 16 times.
Alex won the rest.
a) Estimate the probability that Angad wins.
b) Estimate the probability that Alex wins.

Answers

Answer:

estimate the probability that angad wins

A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. customers can choose from 4 drinks, 5
main dishes, and sides
how many different combo meals are possible?
customers cani create choose.
v different lunch combo meals.

Answers

There are 20 possible different combination of meals

How to determine the number of combo meals?

The given parameters are:

Drinks = 4

Main dishes = 5

The number of different meals is calculated as:

Meals = Drinks * Main dishes

So, we have:

Meals = 4 * 5

Evaluate

Meals = 20

Hence, there are 20 possible different combination of meals

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please help!! need this done by today or it will affect my matriculation

Answers

(a) second option
9 people
the cost is $5 per person
45/5 = 9

(b) second option
30 km
it travels 3km per minute
10(3) = 30

Suppose a jar contains 11 red marbles and
21 blue marbles. If you reach in the jar and
pull out 2 marbles at random at the same
time, find the probability that both are red.

Answers

Answer:

There are 32 marbles. 11 are red. So odds of a red on the first are 11/32.

Now there are 31 marbles left. 10 are red. So odds of a red on the second is 10/31.

Probability both are red, just multiply …. 11/32x 10/31 = 110/992 or 0.111.

A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve

Answers

Answer:

6 miles

Step-by-step explanation:

20.00 - 2.00 = 18

18/3 = 6

she can travel 6 miles

what is 300 in scintifiyc notation?​

Answers

300 written in scientific notation is 3 × 102.

hope this was helpful.

Step-by-step explanation:


The results that Charles, Isabella and Naomi achieved in four tests are shown in
the table below. They want to see who has the most consistent results.
a) Which of the mean, median, mode or range should they calculate to help
them decide?
b) Who achieved the most consistent results?
Charles 46, 43, 39, 57
Isabella
69, 64, 62, 71
Naomi
94,80, 61,72

Answers

Answer:

Range & Isabella

Step-by-step explanation:

Part A:

Definitely not range mean or median, as that'll give you their average, not consistency.  None of their tables show any repeating values, so not mode either, and range would be the most hopeful for this.

Part B:

The results with the smallest range would be the most consistent:

Charles:
Lowest value = 39 and Highest Value = 57
Range = 57-39 = 18

Isabella:
Lowest value = 62 and Highest value = 71
Range = 71-62 = 9

Naomi:
Lowest value = 61 and Highest value = 94
Range = 94-61 = 33

Isabella achieved the most consistent results.  Hope this helps

Determine the square foot of logo 2 write it out in equation form I’ll give 100 points

Answers

Answer:

45 ft²

Step-by-step explanation:

Logo 2 comprises 5 congruent squares with side length 1/2 in

Given scale:  1 in = 6 ft

⇒ 1/2 in = 3 ft

Area of a square = s²  (where s is the side length)

⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²

Therefore, the total area is:

⇒ area = 5 × 9 ft² = 45 ft²

In equation form:

A = 5(6s)²

where:

A = area (in ft²)s = side length (in inches)

Hi, please choose the correct answer. please

Answers

Answer:

y = -x + 1

Step-by-step explanation:

I just checked it in the desmos graphing calculator and it was correct.

Answer:

y = -x + 1.

Step-by-step explanation:

The graph rises to the left so has a negative slope.

slope  = -1 and y-intercept = 1

if u answered on the same 1 move on

help me i dont get this

Answers

The two-way table that shows the joint and the marginal relative frequencies is:

            Aerobic          Anaerobic     Total

Male       0.48              0.63               0.55

Female   0.52             0.37               0.45

Total         1                    1                      1

How to make a two-way table from the frequency table?

The table is given as:

            Aerobic     Anaerobic

Male       88               104

Female  96                62

The column total are:

Aerobic = 88 + 96 = 184

Anaerobic = 104+ 62 = 166

So, we have:

            Aerobic                        Anaerobic

Male       88/184 = 0.48              104/166 = 0.63

Female  96/184 =  0.52             62/166 = 0.37

The total count of the table is

Total = 184 + 166 = 350

So, we have:

            Aerobic          Anaerobic     Total

Male       0.48              0.63              (88 + 104)/350 = 0.55

Female   0.52             0.37               (96 + 62)/350 = 0.45

Hence, the two-way table that shows the joint and the marginal relative frequencies is:

            Aerobic          Anaerobic     Total

Male       0.48              0.63               0.55

Female   0.52             0.37               0.45

Total         1                    1                      1

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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:

                           Aerobic                     Anaerobic                        Total

Male                     47.8%                          62.7%                            54.9%

Female                 52.2%                          37.3%                            45.1%

                            100%                             100%                             100%

What are the relative and marginal frequencies given?

The frequencies for males are:

Aerobic = 88 / (88 + 96)                                    Anaerobic = 104 / (104 + 62)

= 47.8%                                                                                 = 62.7%

For females:                      

Aerobic = 100% - 47.8%                                    Anaerobic = 100 - 62.7%

= 52.2%                                                                                 = 37.3%

Total males frequency:                                Total females
= (88 + 104) / (88 + 104 + 96 + 62)               = 100% - 54.9%

= 54.9%                                                          = 45.1%

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Rewrite 3* = 27 as a logarithmic equation.

Answers

Answer:

[tex]\log_3(27)=x[/tex]

Step-by-step explanation:

[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]

Answer:

Step-by-step explanation:

Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.

write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.

1. Circle B has a radius of 18 inches. True or false?
2. Circle B has an area of approximately 103. 14in2. True or false?
3. The distance around Circle A is 20.5 inches longer than Circle B. True or false?

Answers

Answer:

1. False

2. True

3. true

Step-by-step explanation:

The first answer is false, the second one is true and the third is true

1. what are the amounts of interest and maturity value of a loan for 250,000.00 at 5.5% simple interest for 4 months?​

Answers

the amount of maturity is 254583

Grandma Margie made 12 blankets for her grandkids. The ratio of striped to non striped blankets were 2:4. How many blankets were striped

Answers

Answer:

Total Ratio = 2+4

=6

Striped blankets = 2/6 × 12

= 4 Striped Blankets

Step-by-step explanation:

Can't really explain

2+4=6
12/6=2
Striped: 2 x 2 = 4
Non-striped = 2 x4 = 8

Striped blankets = 4

For the function f(x) = x2
Find f(5) =

Find f(-5) =

Answers

given ,

[tex]f(x)= (x)^{2}[/tex]

=> f(5) = (5)^2 = 25

=> f(-5) = (-5)^2 = 25

Answer:

25

Step-by-step explanation:

..............

please help awnser this question correctly

Answers

A’= (0,3) B’= (0,1) C’= (6,2)
It is reflected over the X axis so the numbers will stay the same they will just be positive instead of negative

Hope this helps ;)
Juju on that beat juju on that beat

Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin

Answers

Using the concept of a proportional relationship, it is found that the correct option regarding the graph is given by:

No, it is not a proportional relationship because the graph does not go through the origin.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the equation above, the first step is that in a proportional relationship, the map must go through the origin, that is, it must pass through the point (0,0). In this problem, it does not passes through the origin, as it passes in (0,2), hence the correct option is given by:

No, it is not a proportional relationship because the graph does not go through the origin.

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I really need help pls

Answers

Answer:

126

Step-by-step explanation:

Answer:

the answer us 140

Step-by-step explanation:

the answer is 140 because if you add them all the answer will come 140 but if we divide it or multiply it the answer will not come so the answer is 140

What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f

Answers

Answer:

[tex]-53+22i[/tex]

Step-by-step explanation:

You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:

[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]

please help me I have been working on this for 20 minutes

Answers

Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68°  -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22°  ----->  y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74°  ----->  x° = 16°

E.) y = 90° - 50°  ----->  y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31°  ----->  w° = 59°

R.) x° = 90° - 28°  -----> x° = 62°

H.) y° = 180° - w°  ----->  y° = 180° - 59°  ----->  y° = 121°

19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56

Answers

Answer:

b.42

Step-by-step explanation:

the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.

so then total number of frogs is 42.

Find the prime factorization of 945

Answers

Answer:

3 × 3 × 3 × 5 × 7

Please Help! I got 81.9% and used x = (mean - average) / standard deviation and then subtracted.
The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.

a. About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.

Answers

Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

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.

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 142, \sigma = 32[/tex].

Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:

X = 174:

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

[tex]Z = \frac{174 - 142}{32}[/tex]

Z = 1

Z = 1 has a p-value of 0.841.

X = 78:

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

[tex]Z = \frac{78 - 142}{32}[/tex]

Z = -2

Z = -2 has a p-value of 0.023.

0.841 - 0.023 = 0.818 = 81.8%.

81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

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find the missing length

Answers

Answer:

Step-by-step explanation:

15^2 - 12^2 = a^2

225 - 144 = 81

a^2 = 81

a=9

GIVING BRAINLIEST!!!!!

Answers

plane PBC is right answer.

it's a logical answer....

Answer:

Plane PBC

Step-by-step explanation:

Plane PBC contains 4 points : P, B, C, and Q.

The question asks which contains all three of C, Q, and P.

The plane is Plane PBC

what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1) form quadrilateral UVWX?

Answers

The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.

What is Distance Formula?

Algebraic expression that gives the distances between pairs of points in terms of their coordinates

Given that:  U(7,9), V(0,5), W(-6,-3) ,X(1,1)

The length can be find by using Distance Formula,

Length of UV,

= [tex]\sqrt{(0-7)^{2} + (5-9)^{2}}[/tex]

= [tex]\sqrt{49+16}[/tex]

= √65 units

Length of VW,

= [tex]\sqrt{(-6-0)^{2}+(-3-5)^{2}}[/tex]

= [tex]\sqrt{36 + 64}[/tex]

=√100 units

= 10 units

Length of WX,

=[tex]\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}[/tex]

= √49+ 14

= √65 units

Length of XU,

= [tex]\sqrt{(7-1)^{2}+(9-1)^{2}}[/tex]

= √36+64

=√100 units

= 10 units

Length of UW,

= [tex]\sqrt{(-6-7)^{2}+(-3-9)^{2}}[/tex]

= √169+144

=√313 units

Length of VX,

= [tex]\sqrt{(1-0)^{2}+(5-1)^{2}}[/tex]

= √1+16

=√17 units

Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.

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Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction

Answers

The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]

What is quotient?

The quotient of numbers or expressions is the division of a number or expression by another

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]

Rewrite as a product expression

[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]

Evaluate the product of 3 and 1

[tex]\frac{4f^2}{3} \times 4f[/tex]

Evaluate the product of 4f^2 and 4f

[tex]\frac{16f^3}{3}[/tex]

Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]

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Answer:

its A

Step-by-step explanation:

On edge its the first answer

Other Questions
__________________ is a type of limestone deposit found around hot springs and used for countertops. Group of answer choices Travertine Granite Marble Serpentine Gypsum Dolomite 2. What is the electrical potential energy difference across the light bulb after the wire is cut?A 0.0 VB 1.5 VC -1.5 VD Need more information.3. After the wire is cut, what is the electrical potential energy difference across the two ends of the cut wire?A 0.0 VB 1.5 VC -1.5 VD Need more information. The ozonosphere absorbs ___radiation. Student class is a child of Person class:- The constructor of the Student class should check if the person is older than 18 years, and then generates a student number in the pattern G2022XXXX where G will be 1 for males and 2 for females, and XXXX is a serial number reflects the order of the student in registration (first student gets 0001, tenth student gets 0010, and so on). Hint you can use (zfill) function.- Provide a method called setCollege that accepts a College object, first of all you have to check if the capacity accepts a new student, if not you have to show the student a suitable message, if the student has accepted in a college you have to call updateTotalStudentmethod.- Provide a method called getInfo that prints the information of a specific student in a wellorganized appearance.- You have to generate two College objects and at least 2 students at each one. Create a future concept on how technology will affect communication and on how the way humans will interact with each other 6.04 energy conservation design worksheetIn this section, describe at least six green building approaches from thelesson (or your research) that you would like to use in your model greenhome.Description of Green Source Approximate EnergyPrice of Using theBuilding ApproachSavingsApproachApproach 1Approach 2Approach 3Approach 4Approach 5Approach 6Total PriceEnergy Efficiency:In this section, describe at least six energy-efficient appliances andtechnologies from the lesson (or your research) that you would like to usein your model green home.Description ofSource Approximate EnergyAppliance/TechnologySavingsPrice of Using theAppliance/TechnologyTelliItem 2Item 3Item 4fem )Item 6Total Price What is the value of x?29127.325.2 Use the chart titled "Population Growth in New York City, 1800-1890" to answer the following question:During the 1800s, the population of New York City shows both increases and decreases increased over each decade decreased consistently remained steady A bag containing... Write the following ratio as a reduced fraction. Simplify your answer when possible: 12 to 33 Simplify 2y + 1. + 5y +4 3y. 3y 2. What do you understand by balanced and unbalanced force A related database stores data in the form of______ Write a formula for function h in terms of function f. !HELP ASAP!What are these people doing before the party? Use the present progressiveand a direct object pronoun in your sentences. MODELO Jazmn / servir / los refrescos Jazmin est sirvindolos. A side of the triangle below has been extended to form an exterior angle of 141. Findthe value of x. Which term describes a possible explanation of or answer to a scientific question that is based on prior knowledge orresearch and that is testable? Calculate the length of a diagonal of a square with side each 7cm long If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth. . Take 400ml milk, curd, four small clean jars with lids labelled A, B, C and D. Pour about 100 ml of lukewarm boiled milk into each jar. Add a teaspoon of curd to jar A and D. Place jar D in a refrigerator. Place jars A, B and C in a warm place. Observe the jars after four to five hours and answer these questions.i) What do you see in jars A, B and C? ii) Why did the milk in jars B and C not set into curd?iii) What happened in D? Can you say why?