solve the question attached​

Solve The Question Attached

Answers

Answer 1

Answer:

B) y = 4a

------------------------------

Given:

[tex]log_2 \ y = 2+ log_2\ x[/tex]

Find y if x = a:

[tex]log_2 \ y = 2+ log_2\ a[/tex][tex]log_2 \ y =2 log_2\ 2+ log_2\ a[/tex][tex]log_2 \ y = log_2\ 2^2+ log_2\ a[/tex][tex]log_2 \ y = log_2\ 4+ log_2\ a[/tex][tex]log_2 \ y = log_2\ (4*a)[/tex][tex]log_2 \ y = log_2\ (4a)[/tex][tex]y=4a[/tex]

Correct choice is B.


Related Questions

Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652

Answers

Answer:

Van Dressler's total sales amount is $12,166.6666667

Step-by-step explanation:

3% = $365

365/3*100 =$12,166.6666667

Suppose a batter has an average of .303 for the season (this player's experimental probability of hitting the ball). How many hits would you predict that the player will get in his next 9 at-bats?

Answers

On closely observing and solving the Probability it can be stated that  the batter will hit around 3 balls out of the next nine balls

What is Probability?

The ratio of the number of outcomes in an exhaustive collection of equally probable options that create a particular event to the entire number of conceivable outcomes.

Solution:

Average of Batter is 0.303 which means that the batter hits 303 shots of 1000 balls

So, in the next nine balls he will hit 9 * 303/1000 = 2.7 balls

Which means the batter will hit around 3 balls

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6x-7=1-3x[tex]6x-7=1-3x[/tex]

Answers

6x-7=1-3x
+3x +3x
9x-7=1
+7 +7
9x=8
/9 /9
x=8/9

Answer:

x=8/9

Step-by-step explanation:

step one: move x to one side. to do this, we are going to use inverse operations which means adding 3x to both sides.

3x+-3x cancels itself out and 3x+6x=9x.

now, the equation looks like: 9x-7=1

step two: isolate the variable, x. we want to just get x to be by itself so we need to get rid of the -7 next to it by using inverse operations again. this means we're going to add 7 to both sides.

7+-7 cancels itself out and 7+1=8.

now, the equation looks like 9x=8

step three: divide to get x by itself. we want to know what x alone is, not 9x. to do this we are going to use inverse operations one last time. this means dividing each side by 9, because 9x means "9 times x".

9x/9= x, 8/9

so the answer is x=8/9

hope this helped!!

What is the radius of the circumscribed circle of ABC?

Answers

Answer:

Given: △ABC, m∠A=120°, AB=AC=1 Find: The radius of circumscribed circle

Step-by-step explanation:

:]


AB and CD bisect each other at E m/CAE 80 and m/BDE 60 Amy says that mZCEA = 20°, Brent says that it is 30", Carlos says that it is 40", and Debra says that it is 50" Which
student is correct?

Answers

The only person that is correct with respect to the measurement of  ∠CEA of the congruent triangles is; Carlos

How to Interpret Congruent Angles?

From the diagram attached, we are given that;

The measure of ∠CAE = 80°

∠BDE = 60°

Amy says that m∠CEA = 20°

Brent says that it is 30°

Carlos says that it is 40°

Debra says it is 50°

Now, by inspection, it is clear that ΔCAE is congruent to ΔBDE by SAS Congruency postulate and as such we can say that;

∠A = ∠B and ∠C = ∠D

Thus;

∠B = 80° and ∠C = 60°

Sum of angles in a triangle is 180 degrees and so;

∠CEA = 180 - (80 + 60)

∠CEA = 180 - 140

∠CEA = 40°

Which means that Carlos is correct.

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what is the volume of the shape

Answers

Answer:

Step-by-step explanation:

Hope it helps!

joe loses 6 pounds during basketball practice. how many cups of water must he consume to replenish this loss

Answers

In order to regain the amount of water Joe losed during practice he should drink 10 cups of water.

A pound is equivalent to 453.59 mg, whereas a cup is equivalent to 236.59 ml.

You may roughly calculate that 2 cups equal 1 pound of water. The density should be 1 mg/ml if the fluid is mostly water.

The number of cups will be,

6 pounds * 453.59 (mg/pounds) * (1mg/ml) / (236.59 ml/cups)

= 10 cups .

Water is a crucial component for all living things, including people and other animals. Naturally, the water must go somewhere when it ascends the plant. Water loss will result from water evaporation (transpiration in plants)

Our breath, skin, urine, and sweat all cause water loss. A person's body will typically consume 2.5 L of water every day and expend the same amount. Your body will "inform you" you are thirsty and need to drink water if you get dehydrated (Figure 5). You have undoubtedly also noticed that when you drink less water, your pee is more concentrated.

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the f-distribution's curve is positively skewed. group startstrue or falsetrue, unselectedfalse, unselected

Answers

The f-distribution's curve is positively skewed. Hence, the statement is true.

We have to check whether the statement is true and false.

The given statement is "The f-distribution's curve is positively skewed."

We can compare two populations using a F statistic thanks to the F distribution. The F distribution can be used to detect whether there is a significant difference in the variance between the means of two populations for ANOVA testing. Regression analysis can also make use of the F distribution to assess how well various models fit together.

The F distribution's graph is always positive and slanted to the right, while the form might vary based on the numerator and denominator degrees of freedom.

The f-distribution's curve is positively skewed. Hence, the statement is true.

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for what values of x and y are the triangles congruent by HL?

Answers

For the given congruent triangles, the values of x = -1 and y = 3.

What do you mean by congruence of triangle?

Two triangles are congruent if all three corresponding sides are equal and all three corresponding angles are equal. These triangles can be moved, rotated, flipped, and flipped to look identical. When rearranged they match each other.

The congruence symbol is "≅".As both the triangles are congruent therefore their corresponding sides will be equal.

3y + x = y + 5 ...........(1)

y - x = x + 5 ..............(2)

Equation

1:3y + x = y + 5

3y - y = 5 - x

2y = 5 - x

x = 5 - 2y ..............(3)

Substitute this value of x in equation (2)

y - x = x + 5 y = x + x + 5y

= 2x + 5 y = 2(5 - 2y) + 5y

= 10 - 4y + 54y + y = 15

5y = 15 y = 15/ 5

y = 3

Substitute this value of y in equation (3) x = 5 - 2(3) = 5 - 6 = -1

Therefore, x = -1 and y = 3

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Sadie is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Sadie will earn $40 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. Sadie's songs were played on 3 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $440. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Sadie's songs were played. Define the variables that you use to write the system.

Answers

The number of commercials and movies on which the songs were played are 5 and 2.respectively

How to determine the number of commercials and movies on which the songs were played.

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

Earnings from songs played in commercial = $40Earnings from songs played in movie = $120Total earnings = $440

The number of commercials is x, and the number of movies is y

The above parameters when represented as an equation is as follows

40x + 120y = 440

x = y + 3

Substitute x = y + 3 in 40x + 120y = 440

40(y + 3) + 120y = 440

Expand

40y + 120 + 120y = 440

Evaluate the like terms

160y = 320

Divide by 160

y = 2

Recall that

x = y + 3

So, we have

x = 2 + 3

x = 5

Hence, the number of commercials is 5 times

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Over which interval does h(x) have a negative average rate of change?
A) (-6,-4)
B) (-1 ,6)
C) (4 , 6)
D) (-4, 6)

Answers

C.(4,6)
I did this and got it right

7x+14y=21,-7x+7y=7 using elimation

Answers

Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

The Population of New York State can be modeled by

Answers

Answer: 19.71 Million.

read the picture plsss

Answers

Answer:

Step-by-step explanation:

a company makes wax candles in the shape of a cylinder. each candle has a diameter of 4 inches and a height 8 of inches. if the company used of wax, how many candles did it make? use for , and do not round your answer.

Answers

If the company has made 6732.16 in³ wax , Total number of candles made is 67

According to the question,

It is given that a wax candle is in cylindrical shape

Diameter of candle = 4 in

Radius will be = 4 / 2

=> 2 in

Height of each candles = 8 in

Company has used 6732.16 in³ of wax

We have to calculate number of candles company has made

Volume of cylinder = πr²h

Where r is radius and h is height

Substituting all the values,

Volume of candle = π (2)² (8)

=> V = 3.14 × 4 × 8   (putting π = 3.14)

=> V = 100.48

Therefore , Number of candles made = Total volume /volume of one candles

=> 6732.16 / 100.48

=> 67 candles are made by company

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Solve for c.
4(c + 17) = 16
C =


Please help

Answers

Divide 4 both sides

C+17=4

Move constant

C=4-17

Solution

C=-13

Which equation, when paired with y = 2x 5, creates an inconsistent system? 2x y = 5 y = 2x 5 2x – 4y = 10 2y – 4x = –10

Answers

The equation that creases an inconsistent system when paired with y = 2x + 5 is given as follows:

2y - 4x = -10.

What is an inconsistent system?

A system of equations is called inconsistent when the number of equations of the system is of zero.

The system in this problem is composed by linear equations, which have the following format:

y = mx + b.

In which:

m is the slope.b is the y-intercept.

For inconsistent system, we have that the equations:

Have the same slope.Have different intercepts.

The function in this problem is given as follows:

y = 2x + 5.

Hence the inconsistent system is formed with:

2y - 4x = -10.

Which is simplified by 2 as follows:

y - 2x = -5.

y = 2x - 5.

Having the same slope of 2, but a different intercept.

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Answer: 2y – 4x = –10

Step-by-step explanation: trust.

x^4-2x^2-16x-15=0 find the zeros with work please

Answers

ANSWER : -1 , 3 , (-1 - 2i) , (-1 + 2i)

steps

find the zeros JUST MEANS SOLVE FOR X

x⁴-2x²-16x-15=0

break it up

let u = x²

x⁴ = (x²)² = u²

-16x+u²-2u-15=0

hold off on -16x

u²-2u-15=0

what 2 numbers when multiplied give you -15 & when added give you -2?

-5 and 3

(u-5) (u+3)

-16x + (u-5) (u+3) = 0

go back x

-16x + (x²-5) (x²+3) = 0

factor -1 out

( looks horrible so far lol )

-1 ((- x²+ 5) (x²+3) + 16x) = 0

multiply (- x²+ 5) with ( x² + 3 )

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² * x² + -x² * 3 ) + 5x² + 15 ) + 16x ) = 0

-1 (( - x⁴ + -2x² + 15 ) + 16x ) = 0

what is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents? if required, round your answer to two decimal places.

Answers

The point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

The point estimate of P, is defined as the proportion of successes in the sample.

P' = X/N ; where X = number of successes; N = total trials.

Here, N = 1000

According to the Child outlook file, number of "yes" = 240.

Hence, P' = 240/1000

P' = 0.24

Therefore, the point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

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passes through (-2,6) with a slope of - 1/4

Answers

The equation of the line is y = x/4 + 13/2 .

What is a slope?

A line's slope, sometimes referred to as its gradient in mathematics, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1/4

And (x₁ ,y₁)  =  (-2,6)

then the equation of line is

y - y₁ = m (x - x₁)

y - 6 = (1/4) (x +2)

y = x/4 + 13/2

Therefore, the equation is y = x/4 + 13/2.

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2) the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized. the bls reported in february 2012 that the labor force participation rate in the united states was 66.9% (calculatedrisk). a marketing company asks 120 working-age people if they either have a job or are looking for a job, or, in other words, whether they are in the labor force. what are the expected value and the standard error for a labor participation rate in the company's sample?

Answers

The expected value and the standard error for a labor participation rate in the company's sample is 0.0043

In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.

The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).

A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.

We have to find the expected value and the standard error for a labor participation rate in the company's sample.

Working age people sample n = 120

The labor force participation rate in the United States was 66.9% = 0.669

The Expected value is μ = p = 0.669

The standard error:

SE = √p(1-p)/n

SE = √0.669(1-0.669)/120

SE = √0.669*0.331/120

SE = √0.2214/120

SE = √0.001845

SE = 0.043

Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.

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how is (-7.5)-21.04 and (-7.5)+21.04 the same value?​

Answers

The values (-7.5)-21.04 and (-7.5)+21.04 are not the same

What is a decimal?

A decimal can be defined as a number consisting of a whole number and also a fractional part.

These numbers are separated by a dot known as the decimal point

The decimal numeral system is seen as a standard system that denotes integer and non-integer numbers.

It is important to note the following operations;

+ × + = ++ × - = -- × + = -- × - = +

From the information given, we have;

(-7.5)-21.04

Multiply the operation

+ 157. 8

Then,

(-7.5)+21.04

Multiply the operation

- 157. 8

Hence, the values are either negative or positive.

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plsss help i’ll give brainlist to right answer

Answers

Answer:All I know is that it’s not < or > but It might be ≤

Step-by-step explanation: Bye the way, you can only give brainliest when there is two questions.

[tex]\leq[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is V=\pi r^2 h,V=πr
2
h, where rr is the radius of the cylinder and hh is the height of the cylinder. Rewrite the formula to solve for hh in terms of rr and V.V.

Answers

The formula to solve for height(h) is given as, if the volume of the cylinder is, V = π r² h, is h = V /  π r².

What is volume?

An object's volume is a measurement of the amount of space it occupies in three dimensions. This indicates that an elephant's volume is more than a mosquito's volume.

Given:

V = π r² h

Here, r is the radius of the cylinder, V is the volume, and h is the height of the cylinder. The value of π is 3.14.

Take the remaining term of the right side to the left as shown below,

V /  π r²  = h

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The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, …
Let n represent the term number and f(n) the term in the sequence. The function ____ represents the sequence
A: f(n)=-3n+23
B: f(n)=-3n +61
C: f(n)= 20-3n
D: f(n) =20n-3
Click or tap the graph to plot a point.

Answers

Function representing the sequence will be f(n) = (23 - 3n

The first five terms of an arithmetic sequence are as 20, 17, 14, 11, 8....

Let n represents the number of term and f(n) the the term in the sequence.

Then we have to find the function that represents the sequence.

As we know explicit formula of an arithmetic sequence is given by

Or the function representing the sequence will be

f(n) = a + (n-1)d

where a represents first term of the sequence a = 20

and common difference d = 17-20 = (-3).

Now the function which represents this sequence will be

f(n) = 20 + (n-1)(-3) = 20 - 3n + 3 = 23 - 3n

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Write the coordinates of the vertices after a reflection over the line y=-5.

Answers

The coordinates of the vertices after a reflection over the line y = -5 is given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

How to obtain the coordinates of the vertices after the reflection?

The vertices of the original quadrilateral are given as follows:

T(-2,-5), U(2,-3), V(-2,-1), W(-3,-3).

The reflection line y = -5 is an horizontal line, meaning that after the reflection:

The x-coordinate remains constant.The y-coordinate will be equidistant to y = -5, however in an opposite direction.

For example, the distance of the y-coordinate of the vertex U from -2 is of:

2 units above.

Then the y-coordinate of the vertex U' will be also 2 units from -5, just two units below, hence:

U'(2,-7).

Applying this rule for all the other vertices, they will be given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

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If f(x) = x2, g(x) = 5x, and h(x) = x + 4, find each value. 17. f[g(–2)]
a. 7 b. 10 c. 30 d. 100

Answers

Answer:

d.) 100

Step-by-step explanation:

To solve, first find the value of g(-2):

[tex]g(-2)=5(-2)\\g(-2)=-10[/tex]

Next, use this value to find f(-10):

[tex]f(-10)=(-10)^2\\f(-10)=100[/tex]

21. Is the following ordered pair (3, 6) a solution of the linear inequality y < -5x + 1?

Answers

The pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

What is linear inequality?

A linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

y < -5x + 1

Substitute the points and see if they are true

(3, 6)

6 < -5*(3) + 1

6 < -15 + 1

6 < -14  

Not true not a solution

Hence, the pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

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Which polynomial is prime?
O x² +7
Ox²-25
O3x²-27
O 2x²-8

Answers

Explanation:

All of the polynomials listed are quadratic polynomials, which have the general form ax^2 + bx + c, where a, b, and c are constants and x is a variable. A polynomial is considered prime if it cannot be factored into the product of two or more polynomials with integer coefficients.It is not possible to determine whether any of the given polynomials are prime without further information, such as the values of the constants a, b, and c. For example, the polynomial x^2 + 7 could be prime, but it could also be factored into the product of two linear polynomials (x + 3)(x + 3), which would make it composite. Similarly, the polynomial x^2 - 25 could be prime, but it could also be factored into the product of two polynomials of the form (x + 5)(x - 5), which would make it composite. Without more information, it is not possible to determine whether any of the given polynomials are prime.

** h(x) = 2f(x).g(x)
Find the value of h’(1), if f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1.

Answers

The value of  h’(1) is = 22

How may the chain rule example be used?

Solution: Since f′(x)=ex, the exponential function with base e's derivative is simply the function itself. G′(x)=4 is the derivative of g. The chain rule states that h′(x)=f′(g(x))g′(x)=f′(4x)4=4e4x. It was crucial that we assessed f's derivative at 4x in this example.

Given that :

h(x) = 2f(x).g(x)

f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1

h’(x) = 2 f'(x)g(x) + g'(x)f(x) by chain rule

h’(1) = 2 f'(1)g(1) + g'(1)f(1)

= 2 * (4 * 2 + 1 * 3)

= 2* (11)

= 22

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Other Questions
A train travels at 80 miles per hour. An equation can be written that compares the time (t) with the distance (d). What is the domain and range?1. The domain is distance (d) and the range is time (t).2. The domain is time (t) and the range is distance (d).3. The domain is time (t) and the range is 80.4. The domain is 80 and the range is time (t). Visible light has a higher frequency than radio waves on the electromagnetic spectrum. How does the wavelength of visible light compare to radio waves?. Can someone help me with this? help help help help plsssss at a certain gas station, 35% of the customers use regular unleaded gas, 35% use extra unleaded gas, and the remainder use premium unleaded gas. of those using regular gas, only 50% fill their tanks. of those customers using extra unleaded, 30% fill their tanks, whereas of those using premium unleaded, 30% fill their tanks. if the next customer fills the tank, what is the probability that extra unleaded gas was requested? (give your answer in percentage terms with one decimal point of precision.) In 1932, a Black American called Angelo Herndon was charged with violating the First Amendment. Hendon belonged to the Communist Party, a party that argued in favor of racial equality and more support for people on low incomes. At that time, Black people in Hendons home state of Georgia experienced racial prejudice and discrimination. They were also segregated from White people. Hendon was arrested and his accusers claimed that he attempted to cite insurrection because he had some Communist leaflets in his possession. To cite insurrection means to use violence against the government. In 1937, all charges against Hendon were dropped by the Supreme Court. In your essay, consider both sides of the argument. You may include other cases, as well, or cite the Constitution. This essay should be 250-350 words. Cake mix is in the maturity stage of its product life cycle. A manufacturer selling cake mixes would most likely use advertising toA) create product category awareness.B) differentiate one type of dessert from another.C) create selective distribution channels.D) reposition cake mixes.E) remind buyers of the marketer's and its brand's existence. a parent of an infant asks what you would recommend specifically to reduce the chances of the infant developing adhd. research-based responses would include: frank believes that the united states should provide aid to asylum seekers who have experienced torture or who no longer have any surviving family. this is an example of when a check is written on an account at bank a and deposited in bank b, the reserve account of will rise and reserves of the entire banking system will Yuri wants to assign a task to his co-worker. He clicked the Task button to enter the subject, start date, and end date for the task. Then he clicked the Details button to add the number of hours needed for the task. Yuri clicked Save & Close to complete the assignment, but his co-worker did not receive the task. Which best explains Yuris error?He cannot assign a task to an individual co-worker. He should have entered the hours needed in the Task area. He entered the wrong subject name in the Task area. He did not add his co-workers information before saving the task. a pipe of cross sectional area 1.2 m2 narrows to a pipe of cross-sectional area 0.4 m2. if the fluid is traveling at 1.7 m/s in the larger pipe, calculate the fluid speed in the narrower pipe. What is the rhyme scheme of the first stanza of " The Battle of Blenheim"? a service center receives an average of 0.7 customer complaints per hour. management's goal is to receive fewer than three complaints each hour. assume the number of complaints follows the poisson distribution. determine the probability that exactly four complaints will be received during the next eight hours. determine the horizontal and vertical components of force which pin c exerts on member abc. the 600-n force is applied to the pin. Which pronouns are used when talking about reciprocal pronouns in Spanish? early in a period in which sales were increasing at a modest rate and plan expansion and start-up costs were occurring at a rapid rate, a successful business would likely experience: While mail surveys are a common data collection method in developed countries, they are an unreliable means of gathering primary data in many foreign countries because of the:Low literacy rates the single recovery principle requires a court to settle a matter once and for all by awarding a lump sum for past and future expenses. even with a lawn infested with crabgrass, one should keep mowing properly, since as the saying goes, one year's seeding produces how many years weeding?