On one island there lived two friends, Ana and Banana. One of them always tells the truth, while the other always lies. When asked which one is the liar among them, they said: Ana: "Banana ate ten apples yesterday, and he is telling the truth." Banana: "No, I ate five apples yesterday, and Ana is lying." How many apples did Banana eat yesterday?

Answers

Answer 1

Answer:

Number of apples ate = 5

Step-by-step explanation:

Fact:

One of them always tells the truth, while the other always lies.

To find how many apples banana ate, we have to figure out who is lying between Ana and Banana.

Ana: "Banana ate ten apples yesterday, and he is telling the truth."

If Ana is telling the truth, that means Banana is also telling the truth because of the statement (... and he is telling the truth).

This is not possible as one of them must be lying. The only option left is that Ana is lying.

Since Ana is lying, it means banana is telling the truth.

Banana: "No, I ate five apples yesterday, and Ana is lying."

Number of apples ate = 5


Related Questions

how many ways are there to paint the 10 identical rooms in a hotel with five colors if at most three rooms can be painted green, at most three painted blue, at most three red, and no constraint is laid on the other two colors, black and white?

Answers

Using the Combination formula,

Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .

We have given that,

total number of rooms available for paint = 10

number of colour avaliabile for painting = 5

Atmost three rooms can be painted green i.e

the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175

similarly, the number of ways for atmost three rooms are painted red = 175

the number of ways for atmost three rooms are painted blue = 175

Now, one room is remained for painting and two colours are available for it

the number of painting the remained room with aany of two available colours i.e black and white

= 2 ways

thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527

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Help me pls idk how to do this

Help me pls idk how to do this

Answers

21 5/6- (-7 2/3)= 29 1/2

1)
Which of the following is correct about parallelogram?
A. The consecutive angles are congruent
B. The diagonals bisect each other at right angle
C. The diagonals are congruent
D. The two pair of opposite sides are parallel and congruent​

Answers

Answer:

the answer is D .I think I may not be wrong

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

41.19

Step-by-step explanation:

Answer:

multiply 8 and 7 and divid that by two then round that two the nearest hundreth.

Step-by-step explanation:

how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm

Answers

Answer:

Okay first you need to use the formula: V=\(\pi r^{2} *h\)

All you need to do is plug in those numbers.

Like this: V= \(\pi *1^{2}*8\)

which is = 25.13 \(cm^{3}\)

Ta-da!! lol. Have a great day!

What is the correct equation to solve for x?

What is the correct equation to solve for x?

Answers

the correct equation is:

tan(46) = 17/x

or A

The partial sum 1 + 10 + 19 +.... 199 equals :___________

Answers

The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series.  Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.

The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.

In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.

By solving this equation, we find that n = 23, and the last term l = 199.

Substituting the values into the formula for the partial sum, we have:

S₂₃ = (23/2)(1 + 199),

= 23 * 200,

= 4600.

However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.

The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.

Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.

Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

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In △ABC, m∠A=27°, c=14, and m∠B=25°. Find a to the nearest tenth.

Answers

Answer:

8.1

Step-by-step explanation:

Write an equation in standard form of the line that passes through the given point and has the given slope (I need an answer ASAP please)


1. (4, -1); m = 3

2. (-8, 0); m = -4

3. (-6, -10); m = 1/6

Answers

The equation of the lines is,

1. (4, -1); m = 3 : - y = 3x - 13

2. (-8, 0); m = -4 :- y = -4x - 24

3. (-6, -10); m = 1/6 :- y = -1/6x - 9

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation of the lines will be,

y = mx + c

y = 3x + c

-1 = 4 x 3 + c

c = -13

y = 3x - 13

y = mx + c

y = -4x + c

0 = -4 x -8 + c

c = -24

y = -x -24

y = mx + c

y = 1/6x + c

-10 = -1 + c

c = -9

y = -1/6x - 9

Therefore, the equation of the lines is,y = 3x - 13 y = -4x - 24 and y = -1/6x - 9.

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Find the 14th term of the geometric sequence 5, -10, 20, ...5,−10,20,

Answers

Answer:

40,960

Step-by-step explanation:

To find the multiplier, set up an equation like this:

\(5x=-10\)

The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:

\(x=-2\)

We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.

\(20*(-2)=40\)

Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:

\(40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960\)

Therefore, the 14th term is 40,960.

Answer:

-40,960

Step-by-step explanation:

you have to add the negative because there partners in crime

How many statements are correct? 0 1 2 3 4
Statement A. The technique of Blocking is indicated when only a random component is present.
Statement B. The technique of Blocking is indicated when only a random and trend component are present.
Statement C. The technique of Blocking is indicated when only a random and seasonal component are present.
Statement D. The technique of Blocking is indicated when only a random, trend, and seasonal component are present.

Answers

Three statements are correct: B, C, and D.

Statement A is incorrect. The technique of blocking is not indicated when only a random component is present.

Blocking is a statistical method used to remove or reduce the effects of nuisance factors or sources of variation in a dataset. Random components alone do not require blocking.

Statement B is correct. Blocking is indicated when both random and trend components are present. Trend refers to a systematic change in the data over time, and blocking can help separate the trend from other factors.

Statement C is correct. Blocking is also indicated when both random and seasonal components are present. Seasonality refers to regular patterns or cycles in the data, such as monthly or yearly variations. Blocking can help account for these seasonal effects.

Statement D is correct. Blocking is generally indicated when a dataset contains a combination of random, trend, and seasonal components.

In such cases, blocking can be used to extract each component separately and analyze their individual effects on the data.

In summary, statements B, C, and D correctly describe the situations in which the technique of blocking is indicated, while statement A is incorrect.

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PLease help, (last Mistake) -_-

PLease help, (last Mistake) -_-

Answers

Answer:

B.61kg

Step-by-step explanation:

use the formula

force÷acceleration=mass

183÷3=61kg

mr. adams divides 183 markers equally among the 24 students in his class. he puts the extra markers in a box. what is the least number of extra markers in a box?

Answers

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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How many metres are there in two and three-quarter kilometres?

Answers

Answer:

2 3/4 kilometers is equal to 2,750 meters

Step-by-step explanation:

Answer:

2 3/4 kilometers is equal to 2,750 meters

Step-by-step explanation:

Paul has been doing jobs what he earns to buy a new game which cost £36​

Answers

Answer:

your question is not technically detailed enough

Step-by-step explanation:

provide more information Sir

What is the decimal value of the 2 in the hexadecimal number F42AC16? a) 409610, b) 51210, c) 25610, d) 210

Answers

The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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What is the value of z in this figure?

Enter your answer in the box.
z =

What is the value of z in this figure?Enter your answer in the box.z =

Answers

Answer: Z = 56

Hope this helps

During a seven-year period, the average housing prices (in thousands of dollars) for a year in Miami $M$M​ and Gainesville cap g$G$G​ are modeled by the equations

cap m is equal to 1 point 7 t cubed minus 6 point 5 t squared plus 212$M=1.7t^3-6.5t^2+212$M=1.7t3−6.5t2+212​ and

cap g is equal to 1 point 6 t squared minus 14 t plus 165$G=1.6t^2-14t+165$G=1.6t2−14t+165​ ,

where t is equal to 1$t=1$t=1​ represents the first year.

a. Write a polynomial that represents the difference in housing prices.
Polynomial:
Question 2
b. What is the difference in housing prices in the fifth year?
$

Answers

The difference in housing prices in the fifth year is $7,125.

What is price?

Price is the amount of money one has to pay for goods or services. It is also the return on an investment or the cost of borrowing money. Price is determined by the supply and demand of a product or service. It is also influenced by market forces such as competition, production costs, and availability of resources. Price is a key factor in determining the success of a business, as it can affect consumers' buying decisions and profitability.

$M(5) - G(5) = (1.7(5)³- 6.5(5)²+ 212) - (1.6(5)²- 14(5) + 165) = $7,125
Therefore, the difference in housing prices in the fifth year is $7,125.

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-y=-6x-3
write in the slope-intercept form please!: y=mx+b
please show work too!

Answers

Answer:

y = 6x + 3

Step-by-step explanation:

Since you can't have a negative y in a y = mx + b equation you have to make it postive. You also have to do everything you do on one side to the other. To do this you have to multiply everything by -1. This will make everything positive b/c it cancels out the other negative. (Two negatives equals a positive) You should be left with y = 6x + 3. The -1 cancelled the -y, -6x, and -3 so you add 3 instead of subtract it.

y = 6x + 3

In the diagram of MNP shown the midpoints of the sides MN and MP have been connected to form segment SR explain why quadrilateral SRNP must be a trapezoid

Answers

We know that SR is parallel to MN and MP is parallel to NP. This means that quadrilateral SRNP has one pair of parallel sides (SR and MN), which is the definition of a trapezoid. Hence, quadrilateral SRNP must be a trapezoid.

Why is there a quadrilateral shape there?

A quadrilateral has four enclosed sides. Quadrilaterals include the following shapes: It was produced by Raphael. It has four sides. The shape has only one set of parallel sides and no straight angles.

In order to prove that quadrilateral SRNP is a trapezoid, we need to show that it has one pair of parallel sides.

We know that SR and MP are both medians of triangle MNP, which means they each pass through the midpoint of the opposite side. Let's call the midpoint of MN point Q.

Since SR passes through the midpoint of MN at point Q, we know that SR is parallel to side MN (by the converse of the midpoint theorem). Similarly, we can show that MP is parallel to side NP (by using the midpoint of MP and the midpoint of NP).

Therefore, we have shown that SR is parallel to MN and MP is parallel to NP. This means that quadrilateral SRNP has one pair of parallel sides (SR and MN), which is the definition of a trapezoid. Hence, quadrilateral SRNP must be a trapezoid.

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Consider Kellogg's production and price choices in the breakfast cereal industry when it is characterized by the price leadership model. Under this theory of oligopoly, all firms other than the dominant firm act as sum of their marginal cost curves is their . Therefore, the horizontal curve. The following graph shows the market demand curve and the horizontal sum of the marginal cost curves of all firms other than the dominant firm: 24 Demand 22 20 18 18 14 Price (Dollars per box of cereal) 10 8 2 0 Supply (MC of Other Firms) 20 40 60 80 100 120 140 100 100 200 220 240 QUANTITY (Millions of boxes of cereal per year Given the information on the preceding graph, use the blue line (circle symbol) to graph the demand curve for the dominant firm (also known as the residual demand curve) and the black ine (plus symbol) to graph the marginal revenue curve for the dominant firm on the following graph. (Hint: The slope of the marginal revenue curve is twice that of the demand curve since the demand curve is Ninear in this case.) 24 20 DF Demand Marginal Revenue Price (Dollars per box of cernal) MC of Dominant Firm 0 20 40 60 300 120 100 100 100 200 230 220 QUANTITY (Millions of boxes of cereal per year) his graph also shows the dominant firm's marginal cost curve. Given that cost curve, as well as the demand and marginal revenue curves you derived, the price of a box of cereal will be s under the price leadership model.

Answers

The price of a box of cereal under the price leadership model is 16 dollars.

The price of a box of cereal under the price leadership model can be calculated by finding the intersection of the marginal cost curve (MC) of the dominant firm and the marginal revenue curve (MR) of the dominant firm. The MR curve has twice the slope of the demand curve, so the equation for the MR curve is MR = 24 – 2Q, where Q is the quantity of boxes of cereal. The MC curve is horizontal, so the equation for the MC curve is MC = 12. The intersection of the two curves occurs at the quantity Q = 8 million boxes of cereal per year, and the corresponding price is P = 16 dollars per box of cereal. Therefore, the price of a box of cereal under the price leadership model is 16 dollars.

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Researchers would like to determine if reviewing material consistently within an hour after class helps students perform better on exams than if students wait to review material the day before the exam. To answer this question the researchers are trying to determine if an observational study or an experiment would be more appropriate. They are discussing who the population would be and how they will determine which sampling method will best represent the population.


Required:

Which of the five steps of the statistical process are the researchers currently applying?

Answers

The researchers are currently applying steps 1 and 2 of the statistical process, which involve formulating a research question and designing a study to answer that question.

The researchers are in the initial stages of the statistical process, specifically focusing on steps 1 and 2. Step 1 involves formulating a research question, which in this case is whether reviewing material consistently within an hour after class improves exam performance compared to waiting until the day before the exam. The researchers have identified this question as the basis for their study.

Step 2 of the statistical process involves designing a study to answer the research question. In this case, the researchers are deliberating between an observational study and an experiment to determine which approach would be more appropriate. This decision-making process is crucial in the study design phase.

The researchers are considering factors such as the need for control, manipulation of variables, and potential biases to determine the most suitable approach for investigating the relationship between reviewing material timing and exam performance.

Overall, the researchers are in the initial stages of the statistical process, actively formulating their research question and designing the study to address that question.

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Graph the following system of equations in the coordinate plane. Use the Mark Feature tool to indicate the solution to the system on the graph.
y=-=+2
2-3y = 18
Drawing Tools
Select
Mark Feature
Line
Click on the Graph and
drag the Line in the
desired direction.
4
Click on a tool to begin drawing.

-10
-8
-6
-4
-
-2
10-
8-
6-
4-
2-
-2-
Delete
2
Undo
Reset
10

Graph the following system of equations in the coordinate plane. Use the Mark Feature tool to indicate

Answers

The solutions the system of equations have is (-3, 5)

How to deterine the solutions the system of equations have?

From the question, we have the following parameters that can be used in our computation:

y = -x + 2

x - 3y = -18

Simplify the equations

So, we have

x + 3x - 6 = -18

Next, we have

4x = -12

So, we have

x = -3

Recall that

y = -x + 2

So, we have

y = 3 + 2

Evaluate

y = 5

Hence, the solution is (-3, 5)

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find the equation of the line. use exact numbers.

find the equation of the line. use exact numbers.

Answers

Your equation is y=-2x+5. First find the slope by plugging two points into the slope equation y2-y1 over x2-x1. This then gets you the slope of -2. Then find the point where x=0, which then gets you your y intercept or the b value in the equation. With the slope as m and y intercept as b, we can find that in the equation y=mx+b with the new values plugged in y=-2x+5.

If the null hypothesis is true and there is no treatment effect, what value is expected on average for the F-ratio?
a. 0
b. 1.00
c. k - 1
d. N - k

Answers

If the null hypothesis is true and there is no treatment effect, the expected value on average for the F-ratio would be 1.00. The correct answer is option (b) 1.00

In hypothesis testing using the F-test, the F-ratio is calculated by dividing the variance between groups (treatment effect) by the variance within groups (random variation). When the null hypothesis is true and there is no treatment effect, the numerator (variance between groups) and the denominator (variance within groups) would be similar, resulting in an F-ratio close to 1.

Therefore, the correct answer is b. 1.00, as the expected value for the F-ratio would be around 1 when the null hypothesis is true and there is no treatment effect.

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Assume that you are pouring a wall that is 151 feet - 4 inches long, 14 feet high and 16 inches thick and the daily placement rate is 375 cubic yards per 8-hour day. What is the rate of pour in feet per hour

Answers

The rate of pour in feet per hour is approximately 2.51 feet per hour.

First, we need to convert the dimensions to feet:

Length = 151 feet 4 inches = 151.33 feet

Height = 14 feet

Thickness = 16 inches = 1.33 feet

Next, we need to calculate the volume of the wall:

Volume = Length x Height x Thickness

Volume = 151.33 x 14 x 1.33

Volume = 2813.89 cubic feet

To convert cubic feet to cubic yards, we divide by 27:

Volume = 2813.89 / 27

Volume = 104.22 cubic yards

Given the daily placement rate of 375 cubic yards per 8-hour day, we can calculate the rate of pour in cubic yards per hour:

Rate of pour = 375 / 8

Rate of pour = 46.88 cubic yards per hour

Finally, we can convert the rate of pour to feet per hour by dividing by the cross-sectional area of the wall:

Cross-sectional area = Height x Thickness

Cross-sectional area = 14 x 1.33

Cross-sectional area = 18.62 square feet

Rate of pour in feet per hour = Rate of pour in cubic yards per hour / Cross-sectional area

Rate of pour in feet per hour = 46.88 / 18.62

Rate of pour in feet per hour ≈ 2.51 feet per hour

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What kind of triangle is 6cm 10cm and 13cm?

Answers

The sides having the length as 6cm , 10cm and 13cm represents a Scalene Triangle .

A Triangle in which the measure of all sides are different is called a Scalene Triangle ,

A Triangle in which the measure of any two sides is equal is called as Isosceles Triangle ,  and

A Triangle in which the measure of all sides are equal it is called a Equilateral triangle .

the measure of the sides is given as : 6cm 10cm and 13cm ;

we can see that all the three sides are of different length .

Therefore , the given triangle is an Scalene Triangle .

The given question is incomplete , the complete question is

What kind of triangle is represented by the sides having the length as 6cm , 10cm and 13cm ?

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ok how is every ones day ok what is 12345 times 23456=

Answers

The answer is 289,564,320. Have a nice day and Happy Holidays

1.5 cups of water converted to litres​

Answers

Answer:

0.354882mL

I don't know how much they let you/want you to round it up.

Step-by-step explanation:

1 cup = 236.588mL

236.588 x 1.5 = 354.882mL

354.882/1000 to convert mL to L

0.354882mL

Cual es el resultado correcto de esta expresión aritmética 3-5+3(2-1)+4/2

Por favoooor

Answers

Using PEDMAS, the result of the expression is 3

What is simplification of expression

Simplification of an expression is the process of reducing a mathematical expression to its simplest form while retaining the same value. This is done by using various rules and techniques, such as combining like terms, using the distributive property, and applying the order of operations.

The goal of simplification is to make the expression easier to work with and understand. It also helps to avoid errors when solving problems or simplifying more complex expressions.

In the given problem, we can apply PEDMAS to solve the expression;

3 - 5 + 3(2 - 1) + 4 / 2 = 3

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Translation: What is the correct result of this arithmetic expression 3-5+3(2-1)+4/2

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All of the above reflect ways in which popular culture may impact the demand for companys products.B4. If consumers learn from an ad on television that companys has a number of cereal products that are rich in fiber, the type of cultural learning taking place would be this. (a. Ritualistic learning b. Formal learning c. Informal learning d. Technical learning e. Cross-cultural learningB5. Based on the discussion of culture, when it comes to the ritual of breakfast, a product such as companys Raisin Bran is regarded as this. a. An artifact b. A symbol of health c. A cultural tool d. A breakfast item e. All of the above a wave of amplitude 10 cm interferes with a wave of amplitude 15 cm. what is the maximum displacement that may result when they overlap?1.5 cm 05 cm 25 cm 150 cm. Which Spanish military leader overthrew the empire of the Aztecs?CortsLas CasasAtahualpaDiaz Find the coordinates of the point on a circle with radius 15 corresponding to an angle of 225o . when might you want the compiler to ignore type differences in an expression? Read Shakespeare's "Sonnet 100.Where art thou, Muse, that thou forget'st so longTo speak of that which gives thee all thy might?Spend'st thou thy fury on some worthless song,Darkening thy power to lend base subjects light?Return, forgetful Muse, and straight redeemIn gentle numbers time so idly spent;Sing to the ear that doth thy lays esteemAnd gives thy pen both skill and argument.Rise, resty Muse, my love's sweet face survey,If Time have any wrinkle graven there;If any, be a satire to decay,And make Time's spoils despised every where.Give my love fame faster than Time wastes life;So thou prevent'st his scythe and crooked knife.What is the central idea of the third quatrain?If you see my love aging, work against it.Do not be lazy; we are all running out of time.Make fun of time, and turn people against it.Write something to ridicule my loves wrinkles. Fill your cup with water and heat it in the microwave. Add the hot chocolate and stir until all the lumps are gone.QuestionThe label says to stir untilAnswer options with 4 options1.it cools.2.you're ready to drink it.3.it's warm enough.4.the lumps are gone. A 2 kg object moving 3m/s strikes a 1 kg object initially at rest. Immediately after the collision the 2 kg object has a velocity of 1.5m/s directed 60 degrees from its initial direction. What is the x component of the 1kg object just after the collision why transits were being pursued by the KeplerMission Pls, Help with the discussion essay below.What factors should you consider when determining the best graph or display to represent a given set of data? In your answer, choose a set of data relevant to your life and explain the best way to display it.You are required to thoughtfully respond to the topic according to the guidelines in the rubric below. Be sure to return to this page from time to time so that you can respond to classmates comments as well. someone who pretends to be participating in the research project along with the participant but is really helping the researcher is known as a(n) an x(bar) chart has a center line of 100, uses three-sigma control limits, and is based on a sample size of four. the process standard deviation is known to be six. if the process mean shifts from 100 to 92, what is the probability of detecting this shift on the first sample following the shift?