working together, it takes two computers 15 minutes to send out a company's email. if it takes the slower computer 35 minutes to do the job on its own, how long will it take the faster computer to do the job on its own? do not do any rounding.

Answers

Answer 1
Let's assume that the slower computer can complete the task in x minutes on its own.

If it takes two computers 15 minutes to send out the email, their combined work rate is 1/15 (in units of emails per minute).

We can express the work rate of the slower computer alone as 1/x, and the work rate of the faster computer alone as 1/y (in units of emails per minute).

Since the two computers are working together, their combined work rate is the sum of their individual work rates:

1/15 = 1/x + 1/y

We know that the slower computer takes 35 minutes to do the job on its own, so we can substitute x = 35 into the above equation and solve for y:

1/15 = 1/35 + 1/y

Multiplying both sides by 35y:

35y/15 = y + 35

Simplifying and solving for y:

35y = 15y + 35*35

20y = 35*35

y = (35*35)/20

y = 61.25

Therefore, the faster computer can complete the task on its own in 61.25 minutes.
Answer 2

It would take the faster computer 525/20 minutes to do the job on its own.

Let the rate of the faster computer be F and the rate of the slower computer be S. Since they can complete the job together in 15 minutes, we have:

F + S = 1/15

We also know that the slower computer takes 35 minutes to do the job on its own, so:

S = 1/35

Now, we can substitute the value of S into the first equation to solve for F:

F + 1/35 = 1/15

F = 1/15 - 1/35

F = (35 - 15) / (15 * 35)

F = 20 / 525

Therefore, the rate of the faster computer is 20/525. To find how long it takes the faster computer to do the job on its own, we take the reciprocal of this rate:

Time = 1/F = 525/20

So, it would take the faster computer 525/20 minutes to do the job on its own.

To learn more about Work visit:

https://brainly.in/question/54120321

#SPJ1


Related Questions

Ms. Switer needs to buy sod for the front lawn of her new house . if the lawn measures 36 2/3 ft by 45 1/6 ft, how many square feet of sod will she need

Answers

Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.

What is Area?

Area is the measure of the amount of space inside a two-dimensional (2D) flat surface or shape, such as a rectangle, circle, or triangle. It is typically measured in square units, such as square meters or square feet. The formula for finding the area of a shape varies depending on the shape itself.

To find out how many square feet of sod Ms. Switer will need, we need to find the area of the lawn. The formula for the area of a rectangle is length x width. Therefore, the area of Ms. Switer's lawn is:

Area = Length x Width

Area = (36 2/3 ft) x (45 1/6 ft)

Area = (110/3 ft) x (271/6 ft)

Area = 2981.388... square feet (rounded to three decimal places)

Therefore, Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.

To learn more about Area from the given link

https://brainly.com/question/25292087

#SPJ1

please I need right answers

Answers

Based on the given information, the angle is C. 22.1° an  A. 20.4°.

What are Trigonometric functions?

Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.

The basic trigonometric functions are:

Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.

Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.

Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.

We can use the trigonometric function tangent to find angle R in the right triangle:

tan(R) = opposite/adjacent = PQ/QR

tan(R) = 5.2/13.4

R = tan⁻¹(5.2/13.4)

R ≈ 22.1°

Therefore, the answer is C. 22.1° rounded to one decimal place.

Using the Pythagorean theorem, we can find the length of side AB:

AB = √(AC² - BC²)

= √(25² - 10²)

= √(575)

Now we can use the sine function to find the measure of angle C:

sin(C) = BC/AB

C = sin⁻¹(BC/AB)

= sin⁻¹(10/√(575))

≈ 20.4°

Therefore, the answer is A) 20.4°.

To know more about trigonometric functions visit:

brainly.com/question/30339626

#SPJ1

What is the solution to this system?

Answers

Thw solution to the given system of equations as required to be determined in the task content is; (-1, 0).

What is the solution to the given system of equations?

It follows from the task content that the solution to the given system of equations is to be determined as required.

since the given equations are;

y = -3x - 3 and y = 4x + 4

Since; y = y

-3x - 3 = 4x + 4

7x = -7

x = -7 / 7

x = -1.

and y = -3 (-1) - 3; y = 0.

Ultimately, the solution (x, y) to the given system of equations as required to be determined is; (-1, 0).

Read more on system of equations;

https://brainly.com/question/25976025

#SPJ1

4. is the linear separable svm always applicable in case of noise in the training data? if no, how can be svm modified in order to deal with noisy training data?

Answers

The linear separable SVM is not always applicable in case of noise in the training data. When dealing with noisy training data, the performance of a linear separable SVM can be negatively affected, as it tries to find a perfect separation between the classes, which may not be possible in noisy data.

To deal with noisy training data, SVM can be modified by introducing a "soft margin" approach, which allows some flexibility in class separation. This is achieved by using a parameter called C (cost parameter), which controls the trade-off between achieving a wider margin and minimizing classification errors. A higher value of C results in a smaller margin but fewer classification errors, making the model more sensitive to noise. A lower value of C results in a larger margin, allowing more classification errors but providing better generalization to handle noise.

Choosing the appropriate value for C is crucial for the SVM model's performance. Additionally, nonlinear kernel functions, such as the radial basis function (RBF) kernel, can be used instead of a linear kernel to map the data into a higher-dimensional space. This allows the SVM to find more complex decision boundaries, which can better handle noisy data.

In summary, to deal with noisy training data in SVM, one can use the soft margin approach by adjusting the cost parameter (C) and opt for nonlinear kernel functions like RBF, enabling the model to generalize better and handle noise effectively.

Know more about Linear separable here:

https://brainly.com/question/30895813

#SPJ11

-2x+y=4
graph
find slope
y-intercept

Answers

Answer:

slope is 2

y-intercept is (0,4)

yk i got u

Answer: x=

2

y−4

​−2x+y=4

Subtract y from both sides.

−2x=4−y

Divide both sides by −2.

−2

−2x

=

−2

4−y

Dividing by −2 undoes the multiplication by −2.

x=

−2

4−y

Divide 4−y by −2.

x=

2

y

−2

Step-by-step explanation:

PLEASE GIVE ME BRAINLIEST

The diagram below shows part of the graph of y= ax+b/x+c
The y-intercept is (0,-4).
The vertical asymptote is x= -2.
The horizontal asymptote is y=3.
Find the value of b

Answers

The value of b, given the graph, the vertical and horizontal asymptote, would be - 8 .

How to find the value of b ?

At the y-intercept, x = 0. We can plug this into the equation and solve for y:

-4 = (a(0) + b) / (0 + c)

-4 = b / c

The vertical asymptote occurs when the denominator is equal to 0:

x + c = 0

x = -2

Thus, c = 2.

The horizontal asymptote occurs when the limit of the function as x approaches infinity is equal to a constant value:

y = a/c

3 = a/2

a = 3 * 2

= 6

The value of b would therefore be:

-4 = b / 2

b = -8

Find out more on vertical asymptote at https://brainly.com/question/26124207

#SPJ1

Mr. Carlson is planning his daughter's birthday party at either a roller rink or at a laser tag facility. The roller rink charges $5 per guest for skate rental, plus $55 to reserve a private reception area. The laser tag facility charges $8 per guest for admission, plus $25 to reserve a private reception area. For what number of guests is the total cost the same at each location?

Answers

The total cost is the same for both locations when there are 10 guests.

To determine the number of guests for which the total cost is the same at each location, we need to set up an equation and solve for the number of guests (let's call it x).

Roller rink cost: 5x + 55

Laser tag cost: 8x + 25

Now, set the two costs equal to each other and solve for x:

5x + 55 = 8x + 25

Subtract 5x from both sides:

55 = 3x + 25

Subtract 25 from both sides:

30 = 3x

Divide by 3:

x = 10

So, the total cost is the same for both locations when there are 10 guests.

for such more question on total cost

https://brainly.com/question/25109150

#SPJ11

Find the area of the Trapezoid

16.6 mi
6.7 mi
13.1 mi
18.5 mi

please explain I'll mark brainlisest ​

Answers

Answer:

The area of the trapezoid is 165.06mi.

Step-by-step explanation:

We can find the area of a trapezoid by the following formula:

[tex]\boxed{A_T = \frac{(B + b) \cdot h}{2} }[/tex]

[tex]A_T[/tex] is the area of the trapezoid (in our case, it is what we want to find)[tex]B[/tex] is the biggest base (in our case, the biggest base is 18.5 mi)[tex]b[/tex] is the smallest base (in our case, the smallest base is 6.7 mi)[tex]h[/tex] is the height (in our case, the base height is 13.1 mi)

Note: Base are the parallel sides of the trapezium.

Now, let's change the values in the previous formula:

[tex]A_T = \frac{(B + b) \cdot h}{2}\\\\A_T = \frac{(6.7 + 18.5) \cdot 13.1}{2}\\\\A_T = \frac{25.2 \cdot 13.1}{2}\\\\A_T = \frac{330.12}{2}\\\\A_T = 165.06[/tex]

Therefore, the area of this trapezoid is 165.06 mi.

I hope I've helped.

Happy studying! =D

Please help me right now

Answers

The graph of the function is in the image at the end, there we can see that the range is  (-3, ∞)

Which is the range of the function?

Remember that the range of a function is the set of the possible outputs of a function.

Here we have the function:

f(x) = (1/2)ˣ - 3

The graph of the function is in the image at the end.

There we need to look at the vertical axis to identify the range, here we can see that the function goes from y = -3 upwards (asymptothically), then the range is (-3, ∞)

Learn more about range at:

https://brainly.com/question/10197594

#SPJ1

ASAP!!!

Which of the following tables represents a linear function?

Answers

Answer:

  table 1

Step-by-step explanation:

You want to know which of the four given tables represents a linear function.

1.

The x-values increase by 2; y-values decrease by 2/3. The rate of change is constant. This is a linear function.

2.

The x-values increase by 2; y-values decrease, then increase again. The rate of change is not constant. This is not a linear function.

3.

The x-values increase by 2; y-values increase by changing amounts. The rate of change is not constant. This is not a linear function.

4.

The x-values repeat. This is not a function.

A cube-shaped box has edges
that are 6 centimeters long. The
box does not have a top. What is
the surface area of the box?

Answers

Surface area can be found by adding up the areas of each side of a 3D object.

The surface area of a cube can be found by finding the area of one side, and multiplying it by the number of sides. Typically a cube has 6 sides, but since this cube doesn’t have a top, it only has 5 sides.

Let’s find the area of one side of the cube:

Given one edge is 6 cm, and area of a square is (edge)^2,

A= 6^2 or 6 • 6 = 36 cm^2

Now multiply this area by the number of sides (5):

SA = 5 • 36 = 180 cm^2

The surface area of this cube is 180 cm^2.

What is the output of the function when the input is 10? On the graph, plot this point and label its coordinates
2 What is the input to the function when the output is 5? On the graph, plot this point and label its coordinates
45
dollars on card
40
35
330
25
20
15
10
5
Undo
N
3
4
5
9
P= (7,27,5)
7 8
9 10 11 12 13 14 15 16 17 18 19
number of rides

Answers

Answer:

I'm sorry, but your request is unclear. Can you please provide more context or information so that I can better understand and assist you? Thank you.

Find the values of x and y when the smaller triangle has an area of 45 cm².
PLS PLS PLS HELP

Answers

Given two similar triangles

The corresponding sides are proportions

So,

[tex]\dfrac{x}{y} =\dfrac{20}{90} =\dfrac{2}{9}[/tex]

So, the relation between x and y will be:

[tex]x=\dfrac{2}{9} y[/tex]

The area of the smaller triangle = 45 cm²

So, area =

[tex]\dfrac{1}{2} x\times y=45[/tex]

Substitute with x into the equation of the area to find the value of y

         [tex]\dfrac{1}{2} \times\dfrac{2}{9} y\times y=45[/tex]

[tex]y^2=\dfrac{45\times1\times9}{2} =\dfrac{405}{2}=202.5[/tex]

                [tex]y=\sqrt{202.5}[/tex]

Substitute with y into x

[tex]x=\dfrac{2}{9} \times\sqrt{202.5} =\frac{2\sqrt{202.5} }{9}[/tex]

So, the answer will be:

[tex]x=\frac{2\sqrt{202.5} }{9}[/tex]

[tex]y=\sqrt{202.5}[/tex]

Помогите срочно решить эту задачу! Дам все свои баллы за эту задачу.

Answers

Sorry don’t understand you language try to speak English

MidSegment theorem Someone please Solve for X For TOP and BOTTOM Question!
Will Give Brainiest and 5 Stars and Thumbs up and Comment.

Answers

The value of x on the first image is 5 and in the second image is 17.

What is Triangle?

Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees which is called interior angles.

According to the given information:

In fig 1, by midsegment theorem,

[tex]x+8 = \frac{1}{2} (3x+11)[/tex]

on simplifying

[tex]2x+16=3x+11\\3x-2x = 16-11\\x = 5[/tex]

In fig 1, by midsegment theorem,[tex]x+5=\frac{1}{2} (3x-7)[/tex]

on simplifying

[tex]2x+10 = 3x-7\\3x-2x = 10+7\\x = 17[/tex]

To know more about midsegment theorem visit:

brainly.com/question/30261975

#SPJ1

Clayton is plowing a wheat field. There are a total of 240 acres to be plowed. If he can plow 4 acres per hour, which equation would represent A, the number of acres left to plow, after Clayton has plowed for h hours?

0a. A = 4 - 240h

0b. A = 240 - 4h

0c. A = 4 + 240h

0d. A = 240 + 4h

Answers

The correct equation would be:

0b. A = 240 - 4h

Explanation:

If Clayton can plow 4 acres per hour, the number of acres he can plow in 'h' hours would be 4h.

Therefore, the number of acres left to plow would be the total number of acres (240) minus the number of acres he has already plowed (4h).

Hence, the equation that represents the number of acres left to plow would be A = 240 - 4h.

find the circumference of the base of circular flower pot with a diameter of 16.2

Answers

The circumference of the base of a circular flower pot with a diameter of 16.2 is 50.92.

Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional

circular shape including circle.

The circumference of a circle is the distance around its boundary.

If d is the diameter of the circle, then the circumference is given by:

Circumference = π × d

Circumference = π × 16.2

Using π ≈ 3.1415926,

we can calculate the circumference:

Circumference ≈ 3.1415926 × 16.2

Circumference ≈ 50.92

Therefore, the circumference of the base of a circular flower pot with a diameter of 16.2 is approximately 50.92.

for such more question on circumference

https://brainly.com/question/20489969

#SPJ11

If you flatten a tissue box, you will get the net below, where he white rectangle is the top opening, find the surface area of the box, in square inches.

Answers

Answer: 185.64 inches

The surface area of the box is 185.64 square inches.

What is the area?

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

To find the surface area of the box, we need to calculate the area of each face and then add them up.

The four faces are rectangles with dimensions 8.8 inches by 4.3 inches, so their area is 4(8.8)(4.3) = 151.36 square inches.

The other area can be described as 2(4.3)(4.3) =36.98 square inches.

Finally, we need to account for the rectangular tear on one of the sides, which has dimensions of 0.5 inches by 5.4 inches. This tear creates an additional face with area (0.5)(5.4) = 2.7 square inches.

Therefore, the total surface area of the tissue box is:

151.36 + 36.98 - 2.7 =  185.64 square inches.

Hence, the surface area of the box is 185.64 square inches.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ2

what is the reciprocal of 2-9 as a fraction or not

Answers

The reciprocal of 2 / 9 2/9 2/9 is 9 / 2 9/2 9/2, because that's what we get when we flip the fraction upside down.

Re-write the quadratic function below in standard form.
y= -9(x-1)²-6

Answers

To rewrite the quadratic function y = -9(x-1)²-6 in standard form, we need to expand the squared term and simplify the expression. Here are the steps:

Distribute the negative sign to the squared term: y = -9(x² - 2x + 1) - 6

Multiply -9 by each term inside the parentheses: y = -9x² + 18x - 9 - 6

Combine the constants: y = -9x² + 18x - 15

Therefore, the standard form of the quadratic function y = -9(x-1)²-6 is y = -9x² + 18x - 15.

Answer:

y = -9x[tex]x^{2}[/tex]  + 18x - 15

Step-by-step explanation:

suppose you have a circle for which you select 3 random points along its perimeter. if you were to form a triangle using these 3 points, what are the odds the center of the circle would be contained within this triangle?

Answers

The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.

The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.

Learn more about probability here: brainly.com/question/30034780

#SPJ1


What is the total cost of a $708 tablet computer that is on sale at 15% off if the local sales tax rate is 4%?
The total cost of the tablet is $
(Round to two decimal places

Answers

The required total cost of the tablet computer is $625.87.

How to find the cost of the tab

let computer that is on sale at 15% off?

A sales discount, also referred to as a "discount," gives customers of a company a discount on one or more of the offered goods or services. Limits can be applied to almost any industry or business offering deals of an item or administration.

According to question:

The discounted price of the tablet computer is:

[tex]$\begin{align*}708 \times 0.85 &= 601.80\end{align*}[/tex]

The sales tax on the tablet computer is:

[tex]$\begin{align*}601.80 \times 0.04 &= 24.072\end{align*}[/tex]

Therefore, the total cost of the tablet computer, including sales tax, is:

[tex]$\begin{align*}601.80 + 24.072 &= 625.87\end{align*}[/tex]

Therefore, the total cost of the tablet computer is $625.87.

To know more about Discount visit:

brainly.com/question/29205061

#SPJ1

4x7x2 1\2 I really need a good answer

Answers

Answer:

70

Step-by-step explanation:

Hello there! Let's work this through:

Firstly, we might want to simply 2 1/2 into 5/2, for simplification.

So, we now have 4 * 7 * 5/2

Simplifying we have [tex]\frac{4*7*5}{2}[/tex]

We see that we can easily simplify 4/2 into 2 * 7 * 5

Further simplifying we get 10*7

Last bit and we get our answer of 70

From here we get 2

Mirando asked Jimmy, "Do you have a college degree?"
Is this a statistical question?
Choose 1 answer:

Answers

Answer: No, it’s not a statistical question

Step-by-step explanation:this question only pertains to one person and it not something that can be represented as a statistic.

At a baseball game, 45% of the fans are wearing jackets. Also, 30% of the fans are wearing baseball caps. Whether a fan is wearing a jacket is independent of whether the fan is wearing a baseball cap. What is the probability that a randomly selected fan is not wearing a jacket and is wearing a baseball cap?
A13.5%
B16.5%
C75%
85%​

Answers

Answer: The answer is (B) 16.5%.

Step-by-step explanation:

What is 3.254 rounded to the nearest hundredth?

Answers

Answer down below!

Rounding to the hundredth means you round 3 numbers after the decimal point.

Rules for rounding

4 and below: Stay the same
5 and above: Round up

Since we have a 4 at the end, nothing changes, and we knock off the 4.

Final answer after rounding: 3.25

Answer:     3.25

Step-by-step explanation:

To round 3.254 to the nearest hundredth, we need to look at the digit in the thousandth place, which is 4. Since 4 is less than 5, we do not need to round up the hundredth digit (5) to the next higher number. Therefore, the rounded number to the nearest hundredth is:

please choose my answer as brainly

Which number marks the center of Islamic learning

A.1
B.3
C.5
D.7

Answers

Answer: C.5

Step-by-step explanation:

ur answer is C) 5

:))

Arun has three fraction cards.He puts them in order, starting with the smallest.

-8/9 -29/36 -13/18


Arun says . I think that on a number line -29/36 is exactly halfway between -8/9 and -13/18

Q.a Is arun correct ? explain your answer


Q.b On a number line , work out which fraction is exactly halfway between -1 3/4

and -11/6

Answers

Answer: Q.a Arun thinks that -29/36 is exactly halfway between -8/9 and -13/18. We can check if this is true by finding the midpoint between -8/9 and -13/18 and seeing if it equals -29/36.

To find the midpoint between two numbers, we take the average of the two numbers. So the midpoint between -8/9 and -13/18 is:

((-8/9) + (-13/18))/2 = (-16/18 + (-13/18))/2 = -29/36

Since -29/36 is the same as the midpoint, Arun is correct.

Q.b To find the fraction exactly halfway between -1 3/4 and -11/6, we can start by converting the mixed number to an improper fraction:

-1 3/4 = -7/4

-11/6

To find the midpoint between -7/4 and -11/6, we take the average:

((-7/4) + (-11/6))/2 = (-21/12 + (-22/12))/2 = -43/24

Therefore, -43/24 is the fraction exactly halfway between -1 3/4 and -11/6 on the number line.

Step-by-step explanation:

Jessica is reading a story book. She reads 30 pages of the book per day. After three days of reading, 5/8 of the book are left. How many pages are in the book?

Compare / Contrast
Jamie read 90 pages of a book in 2 days. If the book has 225 pages in it, what portion of the book does she read each day?
How many days will it take Jamie to finish the book?

Answers

Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.

what is unitary method ?

A mathematical strategy for resolving proportionality issues is the unitary method. Finding the price of one unit is the first step, and utilizing that value to determine the value of yet another quantity with a different quantity is the second. Consider being told, for instance, that an automobile drives 300 kilometres in 5 hours. You are able to employ the unitary technique as shown below to determine how far the car drives in eight hours. For example, 1 hour is equal to 300/5, or 60 miles. To calculate the value of eight hours, use this value: Since 8 hours are equal to 8/1 units, 480 miles are covered in 8 hours.

given

Let P represent the book's total number of pages.

Jessica reads 30 pages per day, which translates to 330 pages after 3 days, or 90 pages total.

5/8 of the book is still to be read, which indicates that 3/8 of it has already been. As a result, P – 90 pages equals 3/8 of the book.

Divide both sides by 5, and you get:

P = 144

The book thus has 144 pages.

Regarding the second query:

She reads 45 pages per 225 pages, or 1/5 of the book.

We divide the total number of pages by the average number of pages Jamie reads each day to determine the number of days Jamie will need to finish the book.

Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

I need help with this

Answers

The two streets that are the legs of the Triangle are Streets A and B.

The length of C street can be found to be 3. 61 miles.

If Dan can bike 4 miles in half an hour, then he can make the trip to Sarah's house in 30 minutes.

How to find the length ?

The length of C street can be found using the Pythagorean Theorem which is:

Length C ² = Leg A ² + Leg B²

This means the length of C street is:

Length C ² = 2 ² + 3 ²

Length C ² = 13

Length C = √ 13

= 3. 61 miles

This means that Dan can get to Sarah's house in 30 minutes if he is going at 4 miles per half hour.

Find out more on the Pythagorean Theorem at https://brainly.com/question/343682

#SPJ1

Other Questions
why is public transit more extensive in western european cities than it is in cities in the united states? suppose the gravitational force between two massive spheres is 10 n. if the distance between the spheres is cut in half, what is the force between the masses? For the circle with equation (x-2) + (y+3) = 9, what are the center coordinates? Praying mantises live in many environments and eat large insects. Barn cats live in many environments and eat mice. How are praying mantises and barn cats alike?S7L4.aO OBoth are mammalsBoth are carnivores.Both are herbivores.Both are producers The three-toed sloths of Amazon rain forest ecosystems have adapted digestive systems that can digest a wide variety of forest plants. Also, the digestive systems of individual sloths are unique, allowing each sloth to consume a diet that is different from neighboring sloths. Compose a four to five sentence paragraph that justifies the behavioral survival advantages sloths have evolved as a result of adaptations of their digestive system. Be sure to include the terms competitive behavior, dominance hierarchies, territorial behaviors, foraging behaviors, and migratory behaviors in your response. 5. From a stack of 100 paper plates,42 were used at a picnic. Whatportion of the paper plates wereused? a circulat region has a population of about 360,000 people and a population density of about 1415 people per square mile . find the radius of the region 9. Describe each line of code in the pseudocode version of the generalized getInteger() function. at a certain temperature, so2(g) and o2(g) react to produce so3(g) according to the chemical equation shown above. an evacuated rigid vessel is originally filled with so2(g) and o2(g) , each with a partial pressure of 1atm . which of the following is closest to the partial pressure of o2(g) after the system has reached equilibrium, and why? responses 0atm ; because kp is very large, nearly all the so2(g) and o2(g) are consumed before the system reaches equilibrium. 0 atmosphere ; because k sub p is very large, nearly all the s o 2 gas and o 2 gas are consumed before the system reaches equilibrium. 0.5atm ; because kp is very large, nearly all the so2(g) is consumed before the system reaches equilibrium, but an excess amount of o2(g) remains at equilibrium. 0.5 atmosphere ; because k sub p is very large, nearly all the s o 2 gas is consumed before the system reaches equilibrium, but an excess amount of o 2 gas remains at equilibrium. 1atm ; because kp is very large, the system is already near equilibrium, and there will be very little change to the partial pressure of o2(g) . 1 atmosphere ; because k sub p is very large, the system is already near equilibrium, and there will be very little change to the partial pressure of o 2 gas . 1.5atm ; because kp is very large, the decomposition of any so3(g) that forms increases the amount of o2(g) at equilibrium. 5. Which of the following statements are true? Choose all that apply. A. All the fossils are over 175 million years old. B. The fault is over 175 million years old. C. All the fossils are less than 200 million years old. D. The sandstone is over 200 million years old. E. The sandstone is 201 million years old. 100 URGENT POINTSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Step 1: Pick a news article about politics or world news from the website. As you read it, jot down on paper some main ideas from each paragraph in phrase form. Based on your notes (close the original article) write a one paragraph summary on it. Write these main ideas in your very OWN words. Step 2: Write a second paragraph with your reaction. For example, what was interesting to you about it? How does it impact our world or community? Did something surprise or impress you? Did it agree with the Bible? ETC.Step 3: Cite your article in MLA format! If you've forgotten how to do this, use Language Arts unit 1 for help OR this website! This project will not be accepted without a proper MLA citation. Don has an album that holds 500 stamps. Each page of the album holds 5 stamps. If 50% of the album is empty, how many pages are filled with stamps? Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. DUE NOWW HELP ANSWER BOTH BROQuestion 1How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?ResponsesA 24 2/3B. 25 2/3C. 25 1/3D. 24 1/3Question 2How many more pounds of milk chocolate were sold than white chocolate at the candy store last week?ResponsesA. 19 2/3B. 18C. 19D. 18 2/3 based on the rates and directions of the plate movement that we observe today, how might the positions of the continents be different 50 million years from now? what do you need to know to complete the first step in the process of creating a new table using data from an existing table, called candy, in mysql? comparing the u.s. economy in the 1920s with the economy in the 1990s, both decades multiple choice suffered from economic depressions. had soaring stock markets. had a lack of any government regulation of the stock market. had slow economic growth. which of the following are strategies for improving the clarity of a speech? multiple select question. use familiar words. prioritize rhythm over meaning. choose abstract over concrete words. eliminate verbal clutter. how are hamlet's feelings for claudius made clear in lines 9-13 the king doth of his pledge Find the values of m and b jesus taught the lehites that in the last days he would fulfill all the covenants he had made with the house of israel. what sign did he give them that would show the world that the gathering of israel had already begun?