Billy made 2 gallons of juice for a picnic. He said that he made
2
4
quarts of juice.

Answers

Answer 1

Answer:

2/4 quarts of juice is 0.125 Gallons of juice for

Step-by-step explanation:

Please Give Brainliest

Answer 2

Answer:

He divided instead of using multiplication

Step-by-step explanation:


Related Questions

A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end to end, then how many inches will they cover?

Answers

Answer:

its 77 1/3

just do the math with a calculator

Answer: 48 1/3

Step-by-step explanation:

plz help me please please​

Answers

Answer:

5%

Step-by-step explanation:

Answer:

5% increase

Step-by-step explanation:

30/600 equals .05 or 5%

I really need help fast and ill do anything just help me plz

Answers

Answer is C. 12.22cm

C = pi x diameter

Diameter = 20cm

You times pi by 20cm (diameter) to get the circumference of approx 62.84cm

Then times the circumference by the angle in the circle

62.84 x 70/360 = 12.22cm

Last year the records of a convenience store chain showed the mean amount spent by a customer was $52. A sample of 36 transactions made this month revealed the mean amount spent was $50 with a standard deviation of $11. At the 0.10 significance level, test the claim that the mean amount spent by a customer has significantly decreased since last year.

Answers

There insufficient evidence to support the claim that the mean amount spent by a customer has significantly decreased since last year.

Step 1: State the hypotheses:

- Null hypothesis (H0): The mean amount spent by a customer is equal to or greater than last year's mean ($52).

- Alternative hypothesis (H1): The mean amount spent by a customer is significantly less than last year's mean ($52).

Step 2: Set the significance level:

The significance level (α) is given as 0.10. This represents a 10% chance of rejecting the null hypothesis when it is true.

Step 3: Formulate the decision rule:

Since the alternative hypothesis is stating a decrease in the mean amount spent, we will conduct a one-tailed t-test and reject the null hypothesis if the test statistic falls in the critical region corresponding to the left tail of the t-distribution.

Step 4: Calculate the test statistic:

We need to calculate the t-statistic using the formula:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given data:

Population mean (μ) = $52

Sample mean (X) = $50

Sample standard deviation (s) = $11

Sample size (n) = 36

Plugging in the values:

t = ($50 - $52) / ($11 / √(36))

t = -2 / ($11 / 6)

t ≈ -1.0909

Step 5: Determine the critical value and make a decision:

Since the significance level is 0.10 and the test is one-tailed to the left, we need to find the critical t-value at a 0.10 significance level with degrees of freedom equal to (n - 1) = (36 - 1) = 35.

so, the critical t-value is -1.3104.

Since the calculated t-statistic (-1.0909) does not fall in the critical region (t < -1.3104), we do not have enough evidence to reject the null hypothesis.

Step 6: State the conclusion:

Based on the data and the hypothesis test, at the 0.10 significance level, there is insufficient evidence to support the claim that the mean amount spent by a customer has significantly decreased since last year.

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need help imm struggling ​

Answers

Answer:

1733.33

Step-by-step explanation:

The volume of a pyramid is (length*width*height) divided by 3

Answer:

1733.33

Step-by-step explanation:

v = (lwh)/3

v = (20 x 20 x 13)/3 = 5200/3 = 1733.33

Are these proportional?
6/9 and 2/3

Answers

Answer:

yes.

Step-by-step explanation:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

6/9 divided by 3/3= 2/3

proportional

Please help these are just practice problems before my test tomorrow and I need help!

Answers

Answer:

x²=20² -14²

x²=400-196

x²=204

x=√204

A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1233 males​ surveyed, 190 responded that they had at least one tattoo. Of the 1033 females​ surveyed,128

responded that they had at least one tattoo. Construct a 99​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Let p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99​% confidence interval for p1−p2.

The lower bound ___ your response here.

The upper bound is ___ ​(Round to three decimal places as​ needed.)

Interpret the interval.

A.There is 99​% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

B.There is a 99​% probability that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

C.There is a 99​% probability that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.

D.There is 99​% confidence that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.

Answers

There is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

Therefore, the correct answer is A.

To construct a confidence interval for the difference in proportions, we can use the following formula:

CI = (p1 - p2) ± Z ×√[(p1×(1 - p1) / n1) + (p2 × (1 - p2) / n2)]

Where:

p1 and p2 are the sample proportions for males and females, respectively.

n1 and n2 are the sample sizes for males and females, respectively.

Z is the critical value corresponding to the desired confidence level.

From the given information, we have:

p1 = 190/1233

n1 = 1233

p2 = 128/1033

n2 = 1033

Confidence level = 99% (which corresponds to a critical value of Z)

Calculating the confidence interval:

CI = (190/1233 - 128/1033) ± Z× √[(190/1233× (1 - 190/1233) / 1233) + (128/1033 ×(1 - 128/1033) / 1033)]

Now, let's find the critical value Z for a 99% confidence level. Since the sample sizes are large, we can use the standard normal distribution. The critical value for a 99% confidence level is approximately 2.576.

CI = (0.154 - 0.124) ± 2.576× √[(0.154× (1 - 0.154) / 1233) + (0.124 × (1 - 0.124) / 1033)]

CI = 0.030 ± 2.576×√[0.000118 + 0.000124]

CI = 0.030 ± 2.576×√(0.000242)

CI = 0.030 ± 2.576×0.015556

CI = 0.030 ± 0.040085

CI ≈ (-0.010, 0.070)

The lower bound of the 99% confidence interval is approximately -0.010, and the upper bound is approximately 0.070.

Interpreting the interval, we can say:

A. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

Therefore, the correct answer is A.

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PLS HELP ILL MARK AS MY BRAINLESS

Answers

Answer:

They a similar because they both had zero as their final answer. Andre decided to do 3 x 200 while Jada  decided to do 3 x 50. Andre work is more complicated and uses big number while Jada's work uses small numbers and are more easier to do.

Step-by-step explanation:

Please help me someone.!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]y=-|x|+2[/tex]

Step-by-step explanation:

The y-intercept is 2 and the line of symmetry is the y-axis.

simplify the expression: (4 3i)(2 − 8i).
a. 32 – 26i
b. −16 26 i
c. 32 38i
d. −16 38i

Answers

The correct answer should be 32.

To simplify the expression (4 + 3i)(2 - 8i), we can use the distributive property of multiplication.

First, we multiply the real parts of the two complex numbers:

(4)(2) = 8.

Next, we multiply the imaginary parts of the two complex numbers:

(3i)(-8i) = -24i^2.

Remember that i^2 is defined as -1, so we can substitute -1 for i^2:

-24i^2 = -24(-1) = 24.

Now, we combine the real and imaginary parts:

8 + 24 = 32.

Therefore, the simplified expression is 32.

Since none of the given answer choices match the simplified expression, it appears that there may be an error in the options provided. The correct answer should be 32.

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Factor the expression over the complex numbers. x2+20 Enter your answer in the box.

Answers

Answer:

2(x plus 20)

Step-by-step explanation:

this is the highest common factor

the radius of a circle is 18.4 inches. the circle's circumference is about ___ inches.

use 3.14 for pi

Answers

Answer:

115.552 or 116 inches.

Step-by-step explanation:

Use the circumference of a circle formula which is C= 2piR. Where C is circumference and R is radius. So you get C=2(3.14×18.4) which gives you 115.552.

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A. 1000in.3 B. 1300in.3 C. 1200in.3 D. 1100in.3

Answers

Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:

0
Tickets to a movie cost $9.00 for adults and $5.50 for students. There were 150 tickets purchased for a total of $1,105.00. The following system of
equations models the situation, where a is the number of adult tickets purchased and s is the number of student tickets purchased. Write the
terms with the variables in alphabetical order.
9a + 5.5s = 1.105
a +5 = 150
Rewrite the second equation in the system so that the variable for the number of adult tickets purchased can be eliminated by subtraction.

Answers

Answer:

150a

Step-by-step explanation:

Suppose there is a family with four children. Assume that it is equally probable for a boy or a girl to be born. a. What is the probability of all girls? b. What is the probability of all girls given there is at west one girl? c. What is the probability of at least one boy and one girl?

Answers

a. The probability of all girls in a family with four children is 1/16 or 0.0625.

b. The probability of all girls given there is at least one girl is 1/15 or 0.0667.

c. The probability of having at least one boy and one girl in a family with four children is 15/16 or 0.9375.

a. To calculate the probability of all girls, we need to consider the possible outcomes of each child being a girl. Since each child has an independent probability of being a girl or a boy, the probability of all girls is (1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625.

b. Given that there is at least one girl, we have three remaining children. The probability of all girls among the three remaining children is (1/2) * (1/2) * (1/2) = 1/8. Therefore, the probability of all girls given there is at least one girl is 1/8 divided by the probability of having at least one girl, which is 1 - (1/2)⁴ = 15/16, resulting in a probability of 1/15 or approximately 0.0667.

c. The probability of having at least one boy and one girl can be calculated by subtracting the probability of having all boys from the total probability space. The probability of having all boys is (1/2)⁴ = 1/16. Therefore, the probability of having at least one boy and one girl is 1 - 1/16 = 15/16 or approximately 0.9375. This probability accounts for all possible combinations of boys and girls in a family with four children, excluding the scenario of having all boys.

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Which decimal is closest in value to the fraction below? 1/6


Answers

Answer:

0.1666...

Step by step explanation:

By using long division (with 6 as the divisor) the number sentence would keep on going with 40-36.

0.166666666

1.000000000

− 0                  

 10                

−  6                

  40              

 −36              

   40            

   −36            

       40          

     − 36          

         40        

       − 36        

           40      

         − 36      

             40    

           − 36    

               40  

             − 36  

                 40

               − 36

Which of the following is a research question that could be addressed using a one-way analysis of variance?
A. Does mean blood pressure differ for three different age groups?
B. Does the variance of blood pressure differ for three different age groups?
C. Are the proportions of people who oppose wearing masks different for different age groups?
D. Is there a relationship between political party preference and age?
E. Is Final Grade for a subject (H1, H2A, H2B, H3, P, N) affected by student's preferred seating location during lectures (Lecture theatre, Desk, Couch, Bed, Other)?

Answers

A. Does mean blood pressure differ for three different age groups?

This is a research question that could be addressed using a one-way analysis of variance.

A one-way analysis of variance (ANOVA) is a statistical test used to determine whether there are any significant differences between the means of three or more groups. In the given research question, we are interested in examining whether the mean blood pressure differs across three different age groups.

To address this question using a one-way ANOVA, we would collect blood pressure measurements from individuals belonging to three different age groups. We would then calculate the mean blood pressure for each group and compare these means statistically. The one-way ANOVA test would allow us to determine if there is enough evidence to suggest that the mean blood pressure differs significantly between the age groups.

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write rational number in number line -7 upon 2​

Answers

Answer:

el numero 1

Step-by-step explanation:

calculate the solubility (in g/l) of caso4(s) in 0.250 m na2so4(aq) at 25°c . the sp of caso4 is 4.93×10−5 .

Answers

The given values are: Ksp of CaSO4 = 4.93 × 10⁻⁵, Molarity of Na2SO4 = 0.250(m). Molar mass of CaSO4 = 136.14 g/mol. We can write the equation for the dissolution of CaSO4 in water as:CaSO4(s) ⇌ Ca²⁺(aq) + SO₄²⁻(aq). Let's consider that "x" grams of CaSO4 dissolves in "1 L" of 0.250 M Na2SO4. Since the CaSO4 dissolves according to the following equation:CaSO4(s) ⇌ Ca²⁺(aq) + SO₄²⁻(aq). The concentration of Ca²⁺ ions in the solution will be "x" moles / 1 L. The concentration of SO₄²⁻ ions in the solution will be "x" moles / 1 L. Since the concentration of Na2SO4 in the solution is 0.250 M or 0.250 moles / L, the concentration of SO₄²⁻ ions contributed by Na2SO4 will be (2 × 0.250) M or 0.500 M. In order to determine the value of "x" or the amount of CaSO4 that dissolves, we need to consider the equilibrium of the solution. The Ksp expression for the dissolution of CaSO4 can be written as: Ksp = [Ca²⁺][SO₄²⁻], Ksp = (x)(x) = x². As the dissociation is very small compared to the concentration of Na2SO4, we can consider "0.250" moles of Na2SO4 in "1 L" of the solution completely dissociated. Thus, the final concentrations of Ca²⁺ and SO₄²⁻ ions in the solution will be:[Ca²⁺] = x moles / L[SO₄²⁻] = (x + 0.500) moles /L. Therefore, we can write the expression for the ion product: IP = [Ca²⁺][SO₄²⁻]IP = (x)(x + 0.500)As the value of Ksp is equal to the IP, we can write the expression for Ksp as: Ksp = x² + 0.500xWe can substitute the value of Ksp as 4.93 × 10⁻⁵M:4.93 × 10⁻⁵ = x² + 0.500x. Solving for "x", we get the following quadratic equation: x² + 0.500x - 4.93 × 10⁻⁵ = 0. Solving for "x" using the quadratic formula: x = 0.00796 g/L. Therefore, the solubility of CaSO4(s) in 0.250 M Na2SO4 solution at 25°C is 0.00796 g/L.

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please help me it's worth 10+ points

Answers

Answer:

10, 12 and 11

Step-by-step explanation:

On each median , the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

TZ = 2 × ZX = 2 × 5 = 10

UY = UZ + ZY = 8 + 4 = 12

ZW = [tex]\frac{1}{3}[/tex] × VW = [tex]\frac{1}{3}[/tex] × 33 = 11

can someone plz help me wit dis plz​

Answers

divide the area by the number in the triangle

Answer:

b = 6.1 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 10.98 and h = 3.6 , then

[tex]\frac{1}{2}[/tex] × b × 3.6 = 10.98

1.8b = 10.98 ( divide both sides by 1.8 )

b = 6.1

Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work a maximum of 15 total hours and must earn no less than $220. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: 11x + 20y ≥ 220

x + y ≤ 15

Hope this helps

9514 1404 393

Answer:

x + y ≤ 1511x +20y ≥ 2203 hours babysitting and 11 hours lifeguarding

Step-by-step explanation:

The two inequalities represent the two relations described in the problem statement.

  x + y ≤ 15 . . . . . . . Mia works a maximum of 15 hours

  11x + 20y ≥ 220 . . . . Mia makes at least $220

These are graphed in the attachment. The solution area is the doubly-shaded area with vertices at (9, 6), (0, 11) and (0, 15). One possible solution is shown at (3, 11), which represents ...

  3 hours babysitting

  11 hours lifeguarding . . . . . . . . total 14 hours for $253

What is the value of x?

Answers

Answer:

106

Step-by-step explanation:

reflection

A steam power plant operates on the ideal reheat-pipe steam Rankine cycle and generates 90 MW of net power. Steam enters the high pressure turbine at a pressure of 10 MPa and a temperature of 520° and exits at a pressure of 1 MPa. Some steam leaving the turbine at this pressure is used to heat the boiler feedwater in an open feedwater heater. After the remaining steam is heated to 480°, it is expanded in the low pressure turbine to a condenser pressure of 14 kPa. Calculate the mass flow rate of the steam passing through the boiler and the thermal efficiency of the cycle by showing the cycle in a T-s diagram with saturated liquid and saturated steam curves.

Answers

The mass flow rate is 0.56 kg/s

How to determine the mass flow rate

The formula for calculating the mass flow rate is expressed as;

m = W / (hf - hg)

Such that the parameters are expressed as;

m is the mass flow rate (kg/s)W is the net power output (W)hf is the enthalpy of the feedwater (kJ/kg)hg is the enthalpy of the steam at the turbine exit (kJ/kg)

Substitute the values, we get;

m = 90 MW / (2418 - 2257)

Subtract the values, we have;

m = 90/161

Divide the values, we get;

m=  0.56 kg/s

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Please answer no links!!!!!!!!!!!

Answers

Answer:

2 (4, 14)3 (3, 5)
The answer for number 1 is 2- (4,14) and I believe the answer for 2 is (3,5) (I may be mistaken on that one since I didn’t graph it.

NO LINKSS !! I WILL REPORT !! HELPP ME PLSS I I WASTED MOST OF MY POINTSS AND NO ONE ENDS UP HELPING ME PLSSS HELP ME Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or > = for >

Answers

Answer: Y less than -3x – 3

Step-by-step explanation:

Now, the Group of Good would like to decide how they should infiltrate the gallery. The group wants to vote on different plans to sneak into the gallery; the plans are labelled a - e. While the group puts all of the plans together so everyone can see them, a tragedy occurs. Kenny gets a paper cut by Plan a! The cut is too deep! Saddened by their colleague’s sudden paper death, they decide that the leader should have more say in which plan is picked (in hopes to avoid more unnecessary death). Suppose the leader’s vote (from the last question) counts as 5 votes. The following preference schedule is produced:

Total Votes = 2 2 1 1

Choice 1 e c a b b

Choice 2 d a b d a

Choice 3 c d e c d

Choice 4 a b d e c

Choice 5 b e c a e

(a) If plurality voting is used, what plan should the group use? Does this plan have a majority

Total Votes = 2 2 1 1

Choice 1 e c a b b

Choice 2 d a b d a

Choice 3 c d e c d

Choice 4 a b d e c

Choice 5 b e c a e

(b) If Instant Runoff Voting is used, what plan should the group use? Show how you discovered your answer.

Total Votes = 2 2 1 1

Choice 1 e c a b b

Choice 2 d a b d a

Choice 3 c d e c d

Choice 4 a b d e c

Choice 5 b e c a e

(c)If the Borda Count method is used, what plan should the group use? Show how the winner is computed

What was the best part of this project? What was the worst part?

Answers

(a) If plurality voting is used, Plan E will be chosen.

b It has the most first-place votes, with 2 each from voters 1 and 5. No other plan has more than 1 first-place vote.

c If the Borda Count method is used, Plan C will be chosen.

How to explain the information

a The best part of this project was learning about different voting methods and how they can be used to choose a winner. The worst part of the project was the difficulty of calculating the Borda Count.

b If Instant Runoff Voting is used, Plan C will be chosen. In the first round of counting, Plan E is eliminated, as it has the fewest first-place votes. In the second round, Plan C is eliminated, as it has the fewest second-place votes. In the third round, Plan B is eliminated, as it has the fewest third-place votes. In the fourth round, Plan D is eliminated, as it has the fewest fourth-place votes. This leaves Plan A as the winner, as it has the most votes remaining.

c If the Borda Count method is used, Plan C will be chosen. Each voter's ballot is assigned a number of points equal to the number of candidates ranked lower than that candidate. For example, voter 1's ballot gives Plan E 5 points, Plan C 4 points, Plan A 3 points, Plan B 2 points, and Plan D 1 point. The total number of points for each candidate is then calculated. Plan C has the most points, with 16, so it is the winner.

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a bag contains 15 red marbles, 15 white beads, 20 green beads, and 25 blue beads. What is the probability of randomly drawing a blue bead?

Answers

Answer:

1/3 or 33%

Step-by-step explanation:

15 + 15 + 20 +25 is equal to 75

25/75 is 1/3

Answer:

1 by 3

Step-by-step explanation:

15 + 15 + 20 + 25 = 75

so,

again,

25 divided by 75 is equal to 1 by 3




Use iteration to guess an explicit formula for the following sequence - dx = 2dx-1 + 3k2 , for all integers k> 1 and do = 3 You must show your work.

Answers

By using iteration, we can guess the explicit formula for the given sequence. It is found that the sequence follows a quadratic pattern, and the explicit formula is dx = 3([tex]2^{k-1}[/tex]) + 3[tex]k^2[/tex] - 6k + 3.

Let's start by analyzing the given sequence: dx = 2dx-1 + 3[tex]k^2[/tex]. We are given that d1 = 3. We can use this initial value to find d2, d3, and so on.

Substituting k = 2 into the given equation, we get d2 = 2d1 + 3([tex]2^2[/tex]) = 2(3) + 3(4) = 6 + 12 = 18.

Similarly, substituting k = 3, we get d3 = 2d2 + 3[tex](3^2)[/tex] = 2(18) + 3(9) = 36 + 27 = 63.

Based on these calculations, we observe that each term in the sequence is related to the previous term by multiplying it by 2 and adding 3[tex]k^2[/tex]. Moreover, we notice a quadratic pattern in the sequence.

To find the explicit formula, we can express dx in terms of k:

dx = 2dx-1 + 3[tex]k^2[/tex]

  = 2(2dx-2 + 3[tex](k-1)^2[/tex]) + 3[tex]k^2[/tex]

  = 4dx-2 + 6[tex](k-1)^2[/tex][tex](k-1)^2[/tex] + 3[tex]k^2[/tex].

We can continue this iteration process, expanding dx-2 in terms of dx-3, and so on. By continuing this process and simplifying the equation, we find that the explicit formula for the sequence is dx = 3([tex]2^{k-1}[/tex]) + 3[tex]k^2[/tex] - 6k + 3.

In conclusion, by using iteration, we have determined that the explicit formula for the given sequence dx = 2dx-1 + 3[tex]k^2[/tex], with d1 = 3, is dx = 3([tex]2^{k-1}[/tex]) + 3[tex]k^2[/tex] - 6k + 3.

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The price of an mp3 player is reduced by 60%. The expression c 0.6c represents the sale price. Which represents an equivalent expression to determine the sale price? 2.85 x 10-3 moles of an unknown compound has a mass of 0.206 g. The compound could be: You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.What is the total length of fabric that you need ? Reaction of HBr with 3-methylcyclohexene yields a mixture of four products cis-and trans-1-bromo-3-methylcyclohexane and cis-and trans-1-bromo-2-methylcyclohexane. The analogous reaction of HBr with 3-bromocyclohexene yields trans-1,2-dibromocyclohexane as the soul product. Required:Draw structures of the possible intermediates and mechanismfor the latter reaction. Turn out the noisy children.5. Who gave Forrest Fenn the idea about doing the treasure? Which of the following irrigation methods is most likely to result in salinization of the soil, especially if the agricultural fields are located in a warm climate with consistent sunlightA Spray irrigationFurrow irrigationFlood irrigationDrip Irrigation I need help with making a theme for a book called more than anything else. Which of the following SELECT statements lists only the book with the largest profit?SELECT title, MAX(retail-cost) FROM books GROUP BY title;SELECT title, MAX(retail-cost) FROM books GROUP BY title HAVING MAX(retail-cost);SELECT title, MAX(retail-cost) FROM books;None of the above HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME [The following information applies to the questions displayed below.]You have just been hired as a financial analyst for Lydex Company, a manufacturer of safety helmets. Your boss has asked you to perform a comprehensive analysis of the companys financial statements, including comparing Lydexs performance to its major competitors. The companys financial statements for the last two years are as follows:Lydex CompanyComparative Balance SheetThis Year Last YearAssets Current assets: Cash $ 960,000 $ 1,200,000Marketable securities 0 300,000Accounts receivable, net 2,700,000 1,800,000Inventory 3,600,000 2,000,000Prepaid expenses 260,000 200,000Total current assets 7,520,000 5,500,000Plant and equipment, net 9,520,000 9,050,000Total assets $ 17,040,000 $ 14,550,000Liabilities and Stockholders' Equity Liabilities: Current liabilities $ 4,010,000 $ 2,980,000Note payable, 10% 3,660,000 3,060,000Total liabilities 7,670,000 6,040,000Stockholders' equity: Common stock, $75 par value 7,500,000 7,500,000Retained earnings 1,870,000 1,010,000Total stockholders' equity 9,370,000 8,510,000Total liabilities and stockholders' equity $ 17,040,000 $ 14,550,000Lydex CompanyComparative Income Statement and ReconciliationThis Year Last YearSales (all on account) $ 15,860,000 $ 13,580,000Cost of goods sold 12,688,000 10,185,000Gross margin 3,172,000 3,395,000Selling and administrative expenses 1,006,000 1,604,000Net operating income 2,166,000 1,791,000Interest expense 366,000 306,000Net income before taxes 1,800,000 1,485,000Income taxes (30%) 540,000 445,500Net income 1,260,000 1,039,500Common dividends 400,000 519,750Net income retained 860,000 519,750Beginning retained earnings 1,010,000 490,250Ending retained earnings $ 1,870,000 $ 1,010,000To begin your assigment you gather the following financial data and ratios that are typical of companies in Lydex Companys industry:Current ratio 2.4 Acid-test ratio 1.1 Average collection period 40 daysAverage sale period 60 daysReturn on assets 9.3 %Debt-to-equity ratio .66 Times interest earned ratio 5.9 Price-earnings ratio 10 ReferencesSection BreakProblem 13-15A Comprehensive Ratio Analysis [LO13-2, LO13-3, LO13-4, LO13-5, LO13-6]1.Required informationPart 1Required:1. You decide first to assess the companys performance in terms of debt management and profitability. Compute the following for both this year and last year: (Round your intermediate calculations and final percentage answers to 1 decimal place. i.e., 0.123 should be considered as 12.3%. Round the rest of the intermediate calculations and final answers to 2 decimal places.)a. The times interest earned ratio.b. The debt-to-equity ratio.c. The gross margin percentage.d. The return on total assets. (Total assets at the beginning of last year were $13,070,000.)e. The return on equity. (Stockholders equity at the beginning of last year totaled $7,990,250. There has been no change in common stock over the last two years.)f. Is the companys financial leverage positive or negative?2.Required informationPart 22. You decide next to assess the companys stock market performance. Assume that Lydexs stock price at the end of this year is $94 per share and that at the end of last year it was $62. For both this year and last year, compute: (Round your intermediate calculations and final answers to 2 decimal places. For percentages 0.1234 should be considered as 12.34%.)a. The earnings per share.b. The dividend yield ratio.c. The dividend payout ratio.d. The price-earnings ratio.e. The book value per share of common stock.3.Required informationPart 33. You decide, finally, to assess the companys liquidity and asset management. For both this year and last year, compute: (Use 365 days in a year. Round your intermediate calculations and final answer to 2 decimal places.)a. Working capital.b. The current ratio.c. The acid-test ratio.d. The average collection period. (The accounts receivable at the beginning of last year totaled $1,670,000.)e. The average sale period. (The inventory at the beginning of last year totaled $2,030,000.)f. The operating cycle.g. The total asset turnover. (The total assets at the beginning of last year totaled $13,070,000.) Which best describes the appeal Kennedy makes in "Make Gentle the Life of This World"?He mainly appeals to logic by giving examples of how violence does not solve problems.He mainly appeals to emotion by urging his audience to focus on compassion and understanding.He mainly appeals to timeliness by telling audience members not to protest in the coming days.He mainly appeals to his own authority by explaining how he will work for social justice. 5.Put the following fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2 Kendra ordered a set of blue and brown pins. She received 100 pins, and 30% of them were blue. How many blue pins did Kendra receive? Which of the following is a noun phrase the movie was boring, across many rivers, around the sun, the choreographer was happy help You arrive at the airport at 1:50 pm and your flight leaves at 5:20 pm. How many MINUTES will you need to wait? Margarita was buying soil for her spring garden. What would be the most reasonable amount of soil she would need to buy for a garden? A. 5 grams B. 50 liters C. 50 kilograms D. 5,000 kilograms *What two kinds of molecules would be used to support evolution ? 4. (Newton's Method). Consider the problem of finding the root of the function f(x)=x+el.812r in [-1,0]. (i) Find the formula of the iteration function g(x) = x- f(x) f'(x) for Newton's method, and then work as instructed in Problem 3, that is, plot the graphs of g(x) and g'(x) on [-1,0] with the use of Wa to show convergence of Newton's method on [-1,0] as a Fixed-Point. Iteration technique. (ii) Apply Newton's method to find an approximation py of the root of the equation x+el.812x = 0 in [-1,0] satisfying RE(PNPN-1 < 10-5) by taking po = -1 as the initial approximation. All calculations are to be carried out in the FPA7. Present the results of your calculations in a standard output table for the method of the form TL Pn-1 Pn RE(pn pn-1) B : (As for Problem 3, your answers to the problem should consist of two graphs, a conclusion on convergence of Newton's method, a standard output table, and a conclusion regarding an approximation PN.) As was discussed during the last lecture, applications of some cruder root-finding methods can, and often do, precede application of Newton's method (and the Bisection method is one that is used most commonly for this purpose). 4. (Newton's Method). Consider the problem of finding the root of the function f(x)=x+-812 in 1-1,0). (1) Find the formula of the iteration function f(x) g(x) = P(x) for Newton's method, and then work as instructed in Problem 3, that is, plot the graphs of g(x) and g'(z) on [-1.0 with the use of Who to show convergence of Newton's method on [-1.0] as a Fixed-Point Iteration technique. (ii) Apply Newton's method to find an approximation py of the root of the equation z+el-813x = 0 in (-1,0 satisfying RE(PNPN-1