Kiteretsuki builds a robot to help him paint a fence. The robot has a paint roller of width 1 foot, that works like a ball-point pen, so it has a steady flow of ink. Kiteretsuki sets the robot to work and leaves but doesn't realize that the robot has a programming error.
It paints one foot of the fence from left to right, then stops and paints a foot in the right to left direction. It then starts moving from left to right again, but this time moving two feet instead of one. However, after this, it only moves back to its previous position. The robot carries on in this fashion, increasing its reach by 1 foot every left to right movement and then returning to its previous starting point.
If Kiteretsuki returns after the robot have moved a total of 11 times, how many inches of the fence has the robot painted in that time?​

Answers

Answer 1

Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.


Related Questions

I'm not sure what to do for this question.

Answers

Answer:

[9.99744 (10m)] for q#1 and [18688.006kg (18,688kg] for q#2

Step-by-step explanation:

Answer:

First blank is 10m

Second blank is 18688kg

Step-by-step explanation:

Use the conversion calculator

A semi circle of diameter 6cm is cut from rectangle with sides 6cm and 8cm.
Calculate the perimeter of the shaded shape correct to 1 decimal place.
(My words) Add working steps if possible :)​

Answers

To find the perimeter you have to add together all the sides given.
First find the circumference of the semi-circle which is using the formula (2piR/2)
2*pi*3 / 2 = 3pi “R is radium which is half of the diameter” now we know that the circumference of the semi-circle is 3pi
Now the side at which lays the circle is opposite to 8cm side hence it will equal 8cm in total
So the side at which the semi-circle lays
= 3pi + 2cm remaining
(3pi)+2+6+6+8=31.42477796
Now round the answer to 1 d.p

Perimeter = 31.4cm

May someone help me please. Solve for x and then find the indicated length. Pleaseee

Answers

Answer:

16

Step-by-step explanation:

3x + 4 = x + 12  [The straight line on the segments AB and BC indicate that they are the same length]

2x = 8  [Subtract x and 8 from both sides]

x = 4  [Divide both sides by two]

Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16

(-4,9);m=-1/2
Write the equation in point slope form

Answers

ANSWER: y-9=-1/2(x+4)

Reasoning: Just got to fill in the format
Format is: y-y1=m(x-x1)

Solve for x HELP ASAP

Answers

First you have to do an exercise up in a calculator an good answer is an elephants with her sweetie pet that is a microwave and they surf in a bottle of red wine. Then they get up to the moon an run in the park

find the angles marked with a letter ​

Answers

Answer:

Step-by-step explanation:

O;B

HELPPPP ASAPPPP PLEASE


A postal service offers flat-rate shipping for mail in special boxes. Today, Ahmed shipped 1
small box and 6 medium boxes, which cost him 360 dirhams to ship. Meanwhile, Sarah
shipped 3 small boxes and 6 medium boxes, and paid 420 dirhams.
a) Write a system of equations that represents Ahmed and Sara's purchases.

Answers

Answer:

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

Step-by-step explanation:

Let

Cost of the small box = x

Cost of the medium box = y

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

x + 6y = 360 (1)

3x + 6y = 420 (2)

Eliminate y by subtracting (1) from (2)

3x - x + 6y - 6y = 420 - 360

2x = 60

x = 60/2

x = 30

Substitute x = 30 into (1) to find y

x + 6y = 360

30 + 6y = 360

6y = 360 - 30

6y = 330

y = 330/6

y = 55

Cost of the small box = x = 30 dirhams

Cost of the medium box = y = 55 dirhams

Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set.
a. true
b. false

Answers

The given statement, "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is FALSE.

This statement is incorrect because the logistic regression model does not work well with perfectly separable data as logistic regression is not designed to handle perfectly separable data.

Explanation:Logistic regression is a statistical method used for modeling the relationship between a dependent variable and one or more independent variables.

It is widely used for classification problems that involve predicting a categorical outcome.For instance, logistic regression is used to predict the probability of a particular outcome (such as a person's gender, a customer's behavior, or a patient's diagnosis) based on one or more independent variables (such as age, income, education, etc.).However, logistic regression assumes that the data are not perfectly separable.

That is, it assumes that there is some overlap between the two classes in the feature space, and the logistic regression model tries to find a hyperplane that separates the two classes with maximum margin.

This means that logistic regression works best when the data is not perfectly separable. If the data is perfectly separable, then the logistic regression model will not work well because it will fail to find a decision boundary that separates the two classes.

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The statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false.

Logistic Regression is a statistical technique for examining a dataset in which there are one or more independent variables that determine an outcome.

The outcome is determined by a binary variable, which means that there are just two possible results.

In other words, it determines the likelihood of a dependent variable occurring for a given set of independent variables. It is widely used for prediction and classification purposes.

Logistic regression makes no assumptions about the distribution of the independent variables and, unlike linear regression, can use binary, categorical, and continuous independent variables. It also estimates the probabilities of an event occurring.

Linear regression is for continuous data and logistic regression is for categorical data.

So, the statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false because logistic regression works best when data is inseparable.

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Peggy had a cutting board measuring 2 m 4 cm. She cut off 78 cm. How long is the board now, in meters?

Olivia is sending a recipe to her mother in Mexico. Among other things, the recipe calls for 4 ounces of rice and a baking temperature of 350 degrees fahrenheit. Convert these measurements to metric, rounding to the nearest gram and nearest degree.

Imported wool fabric is $12.99 per meter. What is the cost, to the nearest cent of a piece that measures 3 m to 70 cm?

While on vacation in Canada, Jalo became ill and went to a health clinic. They said he weighed 80.9 kilograms and was 1.83 meters tall. Find his weight in pounds and height in feet. Round to nearest tenth.

Each serving of punch at the wedding reception will be 180 mL. How many liters of punch are needed for 75 people?

Answers

The answers are =

1) The board is now 1.26 meters long.

2) Olivia's recipe calls for approximately 113 grams of rice and a baking temperature of approximately 176.67 degrees Celsius.

3) The cost of a piece measuring 3.70 meters is 3.70 × $12.99 = $48.03. Rounded to the nearest cent, the cost is $48.03.

4) Jalo's weight in pounds is approximately 80.9 × 2.20462 ≈ 178.6 pounds.

5) Approximately 13.5 liters of punch are needed for 75 people.

Peggy's cutting board initially measured 2 meters 4 centimeters, which is equivalent to 204 centimeters.

After cutting off 78 centimeters, the board's new length is 204 - 78 = 126 centimeters.

To convert this to meters, divide by 100: 126 cm ÷ 100 = 1.26 meters. Therefore, the board is now 1.26 meters long.

2) To convert 4 ounces of rice to grams, we need to know the conversion factor.

1 ounce is approximately equal to 28.35 grams.

Therefore, 4 ounces of rice is approximately equal to 4 × 28.35 = 113.4 grams.

To convert 350 degrees Fahrenheit to Celsius, we use the formula: Celsius = (Fahrenheit - 32) × 5/9.

Celsius = (350 - 32) × 5/9 = 318 × 5/9 ≈ 176.67 degrees Celsius.

Therefore, Olivia's recipe calls for approximately 113 grams of rice and a baking temperature of approximately 176.67 degrees Celsius.

3) The length of the fabric is 3 meters 70 centimeters, which is equivalent to 3.70 meters.

The cost of the fabric per meter is $12.99.

Therefore, the cost of a piece measuring 3.70 meters is 3.70 × $12.99 = $48.03. Rounded to the nearest cent, the cost is $48.03.

4) Jalo's weight is given as 80.9 kilograms.

To convert this to pounds, we need to know the conversion factor. 1 kilogram is approximately equal to 2.20462 pounds.

Therefore, Jalo's weight in pounds is approximately 80.9 × 2.20462 ≈ 178.6 pounds.

Jalo's height is given as 1.83 meters.

To convert this to feet, we need to know the conversion factor. 1 meter is approximately equal to 3.28084 feet.

Therefore, Jalo's height in feet is approximately 1.83 × 3.28084 ≈ 6.003 feet, which can be rounded to 6 feet.

Therefore, Jalo weighs approximately 178.6 pounds and is approximately 6 feet tall.

5) Each serving of punch is 180 mL.

To find the total amount of punch needed for 75 people, we multiply the serving size by the number of people: 180 mL × 75 = 13,500 mL.

Since 1 liter is equal to 1,000 mL, we can convert the amount of punch to liters by dividing by 1,000: 13,500 mL ÷ 1,000 = 13.5 liters.

Therefore, approximately 13.5 liters of punch are needed for 75 people.

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Pls help with this math

Answers

The answer is A hope the helps

Please ASAP let me know the answer!

Answers

The answer is A because 7.99t represents per t-shirt

.2 How many millilitres of chutney are needed?

Answers

Answer:

Step-by-step explanation:

In this scenario, You've asked about the Chutney (Sauce/Raita).

Ok, So let's suppose you are making a "Chutney"

The first you need is the right amount of ingredients.Their quantity and they must be fresh "To make every effort of yours worth it!"Add it into a bowl or a dish that you have at the time (Or a big one to be on the safe side)At the end mix the ingredients well, So that they don't spoil taste of the one who is taking it.

The amount of milliliters (Weight measurement) depends upon the amount of usage/intake that one is taking.

It could be a few hundred (gms. or some Kg's).

That totally depends up on your choice

PLEASE HELP!!

Daniel deposits $1250 into each of two savings accounts shown in the image. Daniel does not make any additional deposits or withdrawals.
- Account A earns 5% annual simple interest.
- Account Bearns 5% interest compounded annually
What is the sum of the balances of Account A and Account B at the end of 4 years?

A. $1,500.00
B. $1,519.38
C. $3,019.38
D. $2,857.59

Answers

Answer:

234

Step-by-step explanation:

x=2+3

A technique of: 40 mAs with 60 kV an exposure of 100mR. If we change to 20 mAs value what should the new kV value be to maintain exposure?

Answers

To maintain the same exposure of 100mR with a new technique of 20 mAs, the new kV value should be increased to approximately 120 kV.
The exposure received by a patient during an X-ray examination is determined by the product of milliamperes-seconds (mAs) and kilovolts (kV).

In this case, the initial technique of 40 mAs with 60 kV resulted in an exposure of 100mR.

To calculate the new kV value, we can use the mAs reciprocity law, which states that if the mAs is halved, the kV should be doubled to maintain the same exposure. In other words, the product of mAs and kV should remain constant.

In the initial technique, the product of mAs (40) and kV (60) is 2400. When the mAs value is reduced to 20, we need to find the new kV value that, when multiplied by 20, gives the same product of 2400.

By rearranging the equation, we find that the new kV value should be approximately 120, obtained by dividing the constant (2400) by the new mAs value (20).

To maintain the same exposure of 100mR with a reduced mAs value of 20, the new kV value should be increased to approximately 120 kV. This adjustment ensures that the product of mAs and kV remains constant, as dictated by the mAs reciprocity law.

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Which expression is equivalent to (8x + 14) + (9x - 5)? + A. 22x - 4 B. 31x - 5 C. 17x + 19 D. 17x + 9​

Answers

Answer: D

Step-by-step explanation: =8x+14+9x+−5

=(8x+9x)+(14+−5)

=17x+9

PLEASEEEE SOMEONE HELPP WIRH THIS ANSWERER

Answers

Y=X-5 is the answer

Answer:

y = -5x + 1

Slope:

(-9 - -4)/(2 - 1) = -5 = m

Solve for x. Please I am a little lost on this one .

Answers

Answer:

10

Step-by-step explanation:

Hello,

I believe this is the explanation of this problem. If not, anyone else is free to correct me on this.

Look at the line segment passes through the center and is divided into 8 and 4. Since this line segment passes through the center of the circle, this is the diameter and is equal to 12 simply by adding 8 and 4..

Let's look at the next segment. It passes through the center as well, so it must have the same diameter. After all, the circle has the same diameter no matter what as long as the segment passes through the center.

You have the length of one part of that segment, which is 2. Subtract it from 12, the diameter you got from the other segment, and the answer is 10.

Hope this helps!

ANSWER PLEASEEEEEE !!!!!!!!!!!!!!

Answers

the measure of angle 2 is 86°

Frequency of Amino Acids

Im currently starting a biostats summer course and Im still confused about how to calculate probability.

My Question is

If the overall genome frequency of cytosine (A) and guanine (T) is A=0.2 and T=0.2, at what frequency would you expect to find the sequence AT, assuming random order?

If you observed N ATs out of a genome of length L, how might you determine whether the observed N is significantly underrepresented relative to expectation?

Answers

To calculate the expected frequency of the sequence "AT" assuming a random order, we can multiply the individual frequencies of "A" and "T" in the genome. In this case, since the frequency of cytosine (A) is 0.2 and the frequency of guanine (T) is also 0.2, we multiply these values:

Expected frequency of "AT" = Frequency of "A" * Frequency of "T" = 0.2 * 0.2 = 0.04

Therefore, we would expect to find the sequence "AT" at a frequency of 0.04 in a genome with a random order.

To determine whether the observed N occurrences of "AT" are significantly underrepresented relative to expectation, we can employ statistical tests.

One commonly used test is the chi-square test. By comparing the observed frequencies with the expected frequencies based on a random distribution, we can assess whether the deviation is statistically significant.

The chi-square test measures the difference between observed and expected frequencies, taking into account the sample size (genome length, L) and degrees of freedom.

If the calculated chi-square value exceeds a critical threshold, it suggests that the observed frequency of "AT" is significantly different from the expected frequency under random distribution.

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An equation of the cone z = √3x² + 3y2 in spherical coordinates is: P = 3 ¢ = 7 This option None of these This option This option This option Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5-x² - y² where x 20 and y 20. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? 2-47² √√√³√²-²³ dzdrdo ar dzdrde This option for r dzdrde This option This option None of these This option Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. Which of the following triple integral in spherical coordinates allows us to evaluate the volume of D? fofo ₂ p²sinodpdode of p²sinodododo This option p²sinodpode This option This option None of these

Answers

An equation of the cone z = √3x² + 3y² in spherical coordinates is: None of these. A cone is formed by rotating a straight line around an axis when one end of the straight line remains fixed.

For example, if the equation of a cone is known, we may use calculus to calculate the cone's volume and surface area. Cone: A cone is a three-dimensional geometric shape that has one circular base at one end and a single point at the other end. A cone's height is the distance from the tip to the base surface's center. The angle formed between the slant height and the base radius is called the cone's half-angle. The vertical plane that passes through the cone's apex and base centerline is called the cone's axis.

Spherical coordinates: In three-dimensional space, spherical coordinates are a coordinate system. Three parameters, the radial distance r, the polar angle θ, and the azimuthal angle φ, are used to specify the position of a point using spherical coordinates. In this case, the radial distance, which is the distance from the origin, is r, and the polar angle and azimuthal angles are represented by θ and φ, respectively. Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x² + y² ≤ 4.

The cylindrical coordinate system is a three-dimensional coordinate system that uses cylindrical polar coordinates to specify a point in space. Cylindrical coordinates are a generalization of two-dimensional polar coordinates, which are used to define a point in the plane. The integral that allows us to calculate the volume of the region is given by: ar dzdrde. Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. The integral that allows us to calculate the volume of the region is given by: p²sinodpdode.

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Need to get this one right to pass lesson

Answers

Answer:

not sure search it up

Step-by-step explanation:

Answer:

33ft²

Step-by-step explanation:

b= base (3)

l= slant height (4)

Surface area = b²+2bl

=3²+2(3)(4)

=9+2(12)

=33

z=xe^y,x=u^2−v^2,y=u^2 v^2, find ∂z/∂u and ∂z/∂v. the variables are restricted to domains on which the functions are defined.

Answers

[tex]z=xe^y,\ x=u^2-v^2,\ y=u^2 v^2[/tex]. Using partial differentiation, ∂z/∂u = [tex]2ue^y + 2uv^2xe^y[/tex] and ∂z/∂v = [tex]-2ve^y + 2u^2\ vxe^y[/tex].

How to apply partial differentiation?

To find the partial derivatives ∂z/∂u and ∂z/∂v, we will differentiate the function [tex]z = xe^y[/tex] with respect to u and v while keeping other variables constant.

Given:

[tex]z = xe^y,\\x = u^2 - v^2,\\y = u^2v^2.[/tex]

First, let's express z in terms of u and v by substituting the expressions for x and y into z:

[tex]z = (u^2 - v^2)e^{u^2v^2}[/tex]

Now, we can find the partial derivatives.

Partial derivative ∂z/∂u:

To find ∂z/∂u, we differentiate z with respect to u while treating v as a constant. Applying the chain rule, we have:

∂z/∂u = (∂z/∂x)(∂x/∂u) + (∂z/∂y)(∂y/∂u).

∂z/∂x = [tex]e^y[/tex],

∂x/∂u = 2u,

∂z/∂y =[tex]x * e^y[/tex],

∂y/∂u = [tex]2uv^2[/tex].

Substituting these values, we get:

∂z/∂u = [tex](e^y)(2u) + (x * e^y)(2uv^2)[/tex].

∂z/∂u = [tex]2ue^y + 2uv^2xe^y[/tex].

Partial derivative ∂z/∂v:

To find ∂z/∂v, we differentiate z with respect to v while treating u as a constant. Applying the chain rule, we have:

∂z/∂v = (∂z/∂x)(∂x/∂v) + (∂z/∂y)(∂y/∂v).

∂z/∂x = [tex]e^y[/tex],

∂x/∂v = -2v,

∂z/∂y = [tex]x * e^y[/tex],

∂y/∂v = [tex]2u^2v[/tex].

Substituting these values, we get:

∂z/∂v = [tex](e^y)(-2v) + (x * e^y)(2u^2v)[/tex].

∂z/∂v = [tex]-2ve^y + 2u^2vxe^y[/tex].

Therefore, the partial derivatives are:

∂z/∂u = [tex]2ue^y + 2uv^2xe^y[/tex],

∂z/∂v =[tex]-2ve^y + 2u^2\ vxe^y.[/tex]

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Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House sells the sunglasses go 20% off the $40 retail price. The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion. Which store has the better buy?

Answers

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.

YALL I need your help! I need to turn this is asap

Answers

Answer:

$1.50

25% of 6 is 1.5

Answer: $1.50

Step-by-step explanation:

0.25x5.99= 1.4975 which would round to 1.5

Mr. Cox took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many miles did Mr. Cox travel on his ride? (7.EE.4a)


A 2

B 6

C 8

D 10

Answers

Answer:

B) 6 miles

Step-by-step explanation:

(24 - 6)/3 = 6 miles

PLZZZZ SOMEONE ANSWER I WOULD APPRECIATE IT A LOT!!!!!
PLZZZZ.

Answers

Answer:

Angle B: 26 degrees

Angle C: 26 degrees

Angle BSD: 97 degrees

Angle CSE: 97 degrees

Angle E: 57 degrees

Arc BC: 114 degrees

Step-by-step explanation:

Good luck boi

3. You are helping build a community playground. Your group is building the frame
for a rectangular sandbox. The sides are already cut for you but you do not have
any tools to make sure the corners are 90 degrees. Explain how you can use 2 ropes
to make sure the frame is a rectangle.

Answers

don't use rope, us duck tape it always works

this is a haha funny joke by the way

need help w this! will give brainliest and thanks to best answer :o) tysm<3

Answers

Answer:

A. They will pay more with the new price plan.

B. The new price plan would be cheaper.

Step-by-step explanation:

A. They will pay more with the new price plan.

For the current price plan, you would add the $3 rent to the two games (which are $4 each). This basically means:

$3 + $4 + $4 = $11

For the new price plan, you would add the $11 rent to the two games (which are $2 each). This basically means:

$11 + $2 + $2 = $15

Therefore, you pay more for the new price plan.

B. Using similar logic as part A, the current price plan 7 games would cost:

$3 + [7 x ($4)] = $31    (multiply by 7 since they play 7 games)

For the newprice plan, 7 games would cost:

$11 +  [7 x ($2)] = $25    (multiply by 7 since they play 7 games)

Therefore, the new price plan would be cheaper.

Hope this helps :)

The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.

Answers

Answer:

The polynomial expression for the profit from making and selling 'n' paper goods, is;

n × (n - 18)

Step-by-step explanation:

The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;

R = 2·n² - 15·n + 23

C = n² + 3·n + 23

The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;

The profit, P = R - C

By substituting the polynomials representing 'R', and 'C', we have;

P = 2·n² - 15·n + 23 - (n² + 3·n + 23)

∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23

P = n² - 18·n = n·(n - 18)

P = n·(n - 18)

The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).

Mr clay has 75 geese and 125 turkeys. what is the ratio of the number of geese to the total number of birds in the simplest form

Answers

Answer:

3/8

Step-by-step explanation:

125+75= 200

75:200= 3/8

3/8 is  the ratio of the number of geese to the total number of birds in the simplest form.

Other Questions
show that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9. cheg which of the following would not be a teratogen? question 18 options: cigarettes lead rubella (german measles) steak 3. Suppose the following demand schedule for compact discs. Price Quantity demanded Income = $10,000 40 Quantity demanded Income = $12,000 8 50 10 32 45 12 24 30 14 16 20 16 8 12 a) Calculate the price elasticity of demand as the price of a compact disc increases from $8 to $10 if (i) your income is $10,000 and (ii) your income is $12,000 b) Calculate your income elasticity of demand as your income increases from $10,000 to $12,000 if (i) the price is $12 and (ii) the price is $16. 4. Two drivers - Tom and Jerry-cach drive up to a petrol station. Before looking at the price and starting to pump petrol, Tom says: I will buy 10 litres of petrol. Jerry says: I will buy $10 of petrol. Comment on each driver's price elasticity of demand. 5. To get some practise in calculating elasticity using the mid-point formula, you should try and fill out the following table. Price ($) QD (units) Ed 10 10,000 13,000 17,000 22,000 25,000 2987 6 currently, dollar bills in the united states are an example of: Did Volkswagen respond to the crisis well enough? Discuss the model of crisis management.Discuss the differences between German and Anglo-American Corporate Governance Structures. Comment on the corporate governance structures of Volkswagen Group.What were the causes of corporate misbehavior at VW? What should it do to prevent similar crises in the future?What should Corporate Social Responsibility truly mean? How can the VW Group integrate CSR throughout the company?Why woulda leading corporation which was awarded several social responsibility recognition engage in such a scam? PLEASE HELP!!! Although there are still occasions when it is required, face-to-face communication seems to be decreasing. In the age of digital technology, we conduct many of our relationships through our devices instead of in person. Coworkers send e-mails instead of holding meetings. Students access assignments and lessons online that teachers once delivered in class. Friends interact through social media instead of getting together (and, sometimes, even while they are together). Perhaps our apparent preference for digital methods of communication is merely a sign of technological progress. But could this trend be harmful? What do we gain, and what do we lose, as our interpersonal relationships arc increasingly conducted online instead of in person? In the digital age, it is worth considering the implications of decreasing face-to-face communication. An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with = 42 and = 5.0.(a) What is the probability that yield strength is at most 39? Greater than 60? (Round your answers to four decimal places.)at most 39 _________.greater than 60 _________.(b) What yield strength value separates the strongest 75% from the others? (Round your answer to three decimal places.)_______ksi For 2 + 5(x-3) > 3x + 11, the answer is x> if the period of the lowest-frequency sound you can hear is 0.0500.050 ss , then what is its frequency? express your answer to two significant figures and include the appropriate units. 1/2 of a number y is more than 22 For the four scenarios described below, indicate the business structure each one is likely to adopt - sole trader, partnership or company (public or proprietary) and why. (4x1 = 4 marks) (i) lan has commenced a hairdressing business by himself. (ii) Four industrial engineers with established careers wish to set up a business developing recycling techniques to reduce business waste to near zero. They want to be able to raise capital by issuing shares to the public. (iii) Evonne and Ben wish to start a donut business. They are concerned about the legal issues (for example, their personal liabilities) for this business once they start trading. (iv) Luke, John and Chelsea have been running separate agricultural businesses but are finding the costs and hours are very high for one person and are only just keeping their individual businesses operational. They have decided to combine their businesses so they can share resources and have more time off to spend with their families. Question 3 [20 marks] Consider two utility functions u(x) and u(x) where x is the amount of money consumed by the agent.a) Explain formally what it means that an agent with utility function u is more risk averse than an agent with utility function u.b) Show that an agent with utility function u(x) = log x is more risk averse than an agent with utility function u(x) = x. Order the fractions from least to greatest.1-1.25, 0.125,14 The lack of competition is part of the free enterprise system.O TrueO False I NEEDDD HELP PLEASE!!! this is due today! Can I get help with number 16 Let A and B be two matrices of size 4 x 4 such that det(A)= 1. If B is a singular matrix then det(3A^-2 B^T) +1 = 01None of the mentioned-1 2 Understanding ourselves and the impact of our early life experiences and cultural backgrounds will Design a Multi- cultural forum with the theme "Diversity creates Dimension in the world". about the country QATAR speaking on pressing issues in Organizational culture from the perspectives of:Cultural Practices in OrganizationsPower Struggle/Tensions & Conflict ResolutionInterpersonal Relationships,Negative and Positive PerceptionsCultural influence on Gender and OccupationConcerns of international chains that employ foreigners Light traveling through the air moves in a straight line. An object viewed through water looks different because light rays that travel through water are . . .A.bentB.reflectedC.bouncedB.absorbed