How many liters of a 10% saline solution must be added to to 4 liters of a 40% saline solution to obtain a 15% saline solution? A)20 L B)4 L C)2 L D)48 L Plz explain the steps and how to get answer

Answers

Answer 1
It would take 20 liters of the 10% solution.

We will let x be the amount of 10% solution in our problem.  10% saline in x liters is 0.1x.  4 liters of a 40% solution would be 4*0.4 = 1.6.  We know that there are a total of x+4 liters in the final solution, and that it is 15% saline; that is 0.15(x+4).  Our equation is then:

0.1x + 0.4(4) = 0.15(x+4)
0.1x+1.6 = 0.15*x + 0.15*4
0.1x+1.6 = 0.15x+0.6

We cannot have a variable on both sides; we will subtract 0.1x from both sides:

0.1x + 1.6 - 0.1x = 0.15x + 0.6 - 0.1x
1.6 = 0.05x + 0.6

Subtract 0.6 from both sides:
1.6 - 0.6 = 0.05x + 0.6 - 0.6
1 = 0.05x

Divide both sides by 0.05:
1/0.05 = 0.05x/0.05
20 = x

x was the 10% solution, so there are 20 liters of it.

Related Questions

BRAINLIEST!!!
Question 18 Unsaved
Melody paid $25.00 for 3 movies & a CD. If the price of each movie was 6.50, what was the price of the CD?

Question 18 options:

$5.50


$11.00


$15.50


$19.50

Answers

She pays for 3 movies.
Each movie is $6.50
6.50 x 3 = 19.5
All 3 movies cost $19.50.
Melody paid $25.00 in all.
She also bought a CD
25-19.5 = 5.5
Melody paid $5.50 for the CD.


Hope this helps you! (:
-Hamilton1757

Hello there,


I believe the answer is A. 5.50


I added 6.50 for 3 movies and got 19.50 then I added 5.50 and got 25.00

You could also do it another way...


You could do 6.50 x 3 and you get 19.50
then she paid 25.00
you will subtract 25 - 19.5 and get 5.50

.


Why is the library not adding any more fairy tales

Answers

Final answer:

The library may not be adding more fairy tales due to decreased demand, a desire to offer a diverse collection, and a strategic choice to provide a balanced collection.

Explanation:

It is possible that the library is not adding any more fairy tales due to a variety of reasons. One reason could be that the demand for fairy tales has decreased among library patrons. Another reason could be that the library wants to diversify its collection and offer a wider range of books to its readers.

Additionally, the library may be focusing on acquiring books from different genres or themes to cater to the interests of its diverse audience.

It is important to note that libraries regularly make decisions about which books to add to their collection based on factors such as popularity, relevance, and availability. The decision to not add any more fairy tales could simply be a strategic choice made by the library to provide a more balanced and comprehensive collection for its readers.

1. For T (-1,2),(7,8): 10

For E (3,-4), (-2,5): 10.3

For  A (-7,0), (-4,12): 12.4

For N (1,-5), (-9,-9): 10.8

2. For S (2,6), (3,10): (2.5, 8)

For F (15,-1),(9,-5): (12, -3)

For T (7,-2), (-10,-8): (-1.5, -5)

For E (-3,0), (-11,9): (-7, 4.5)

Here are the distances and midpoints, calculated step by step:

Distances:

T: (-1, 2), (7, 8)

Difference in x-coordinates: 7 - (-1) = 8

Difference in y-coordinates: 8 - 2 = 6

Distance using the Pythagorean theorem: √(8² + 6²) = √100 = 10

E: (3, -4), (-2, 5)

Difference in x-coordinates: -2 - 3 = -5

Difference in y-coordinates: 5 - (-4) = 9

Distance: √((-5)² + 9²) = √106 ≈ 10.3

A: (-7, 0), (-4, 12)

Difference in x-coordinates: -4 - (-7) = 3

Difference in y-coordinates: 12 - 0 = 12

Distance: √(3² + 12²) = √153 ≈ 12.4

N: (1, -5), (-9, -9)

Difference in x-coordinates: -9 - 1 = -10

Difference in y-coordinates: -9 - (-5) = -4

Distance: √((-10)² + (-4)²) = √116 ≈ 10.8

Midpoints:

S: (2, 6), (3, 10)

Midpoint: ((2 + 3)/2, (6 + 10)/2) = (2.5, 8)

F: (15, -1), (9, -5)

Midpoint: ((15 + 9)/2, (-1 - 5)/2) = (12, -3)

T: (7, -2), (-10, -8)

Midpoint: ((7 - 10)/2, (-2 - 8)/2) = (-1.5, -5)

E: (-3, 0), (-11, 9)

Midpoint: ((-3 - 11)/2, (0 + 9)/2) = (-7, 4.5)

Complete question:

Write the exercise letter in the box above the answer at the bottom of the page. Find the distance between the two given points. If necessary, round to the nearest tenth.

T (-1,2),(7,8)

E (3,-4), (-2,5)

A (-7,0), (-4,12)

N (1,-5), (-9,-9)

Find the midpoint between the two given points.

S (2,6), (3,10)

F (15,-1),(9,-5)

T (7,-2), (-10,-8)

E (-3,0), (-11,9)

what is this expression 2(5x-1)+14

Answers

Hello there!

Your question states: What is this expression 2(5x-1)+14


2 * 5x = 10x

2 * -1 = -2

10x + -2 + 14 = 10x + 12

Your answer is 10x + 12 


Hope I helped!

Let me know if you need anything else!

~ Zoe
Greetings!

I'm going to assume you want to simplify the expression
[tex]2(5x-1)+14[/tex]

First, distribute the parenthesis:
[tex]=2(5x-1)+14[/tex]

[tex]=[(5x)(2)-(1)(2)]+14[/tex]

[tex]=(10x-2)+14[/tex]

Next, you want to combine like terms:
[tex]=(10x-2)+14[/tex]

[tex]=10x+12[/tex]

This is the furthest the expression can be simplified:
[tex]\boxed{10x+12}[/tex]

I hope this helped!
-Benjamin 

find the measure of angle x in each of the following diagrams

Answers


[tex]360 - 250 = 110[/tex]
x is 110

Estimate the circumference of a circle that has a diameter of 13 yards. yards

Answers

a little bit more than 37.70 yards 

Answer:

a little bit more than 37.70 yards

Step-by-step explanation:

How many square feet of outdoor carpet will we need for this hole?

Answers

What is the full question?

Line plots display individual data? True or false?

Answers

I think false because line graph show things like: how many deer there are in a certain amount of years and how many wolves, so i think it can show more than an individuals data, sorry if im wrong

Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is r if C C' = 5 and d' = 20?

Answers

Answer:

r = 50

Step-by-step explanation:

We know that:

[tex]\frac{C}{C'}=5[/tex][tex]d'=20[/tex]

So, the ratio between the circumferences is 4 and the diameter of the second circle is 20. In this case, we have to use the ratio between those two circumferences, because that's what is our given data.

[tex]\frac{C}{C'}=\frac{d}{d'}\\5=\frac{d}{20}\\ 100=d[/tex]

From this proportion, we deduct that the diameter of the initial circle is 100. Now, we know that the radius in a circumference is have the diameter. Therefore, the radius is:

[tex]r=\frac{d}{2}=\frac{100}{2}=50[/tex]

the volume of a rectangle gift box is 98 cubic inches. the height is 4 inches and the width is 3 1/2 inches.what is the length of the gift box

Answers

Use the formula for volume of a box. Fill in the given values and solve for the remainder.

V = L*W*H . . . . . . . . . . . . . . . . . formula for volume of cuboid shape
98 in^3 = L*(3.5 in)*(4 in) . . . . . with given numbers filled in
98 in^3 = L*(14 in^2) . . . . . . . . . multiply
(98 in^3)/(14 in^2) = L . . . . . . . . divide by the coefficient of L
7 in = L . . . . . . . . . . . . . . . . . . . . simplify

The length of the box is 7 inches.

_____
You will note that the units, inches, square inches, cubic inches, can be treated as though they were a variable. Just as z^3/z^2 = z, so does in^3/in^2 = in. This can help you make sure you're doing the math properly. If the units come out wrong, there's high probability the numbers are wrong, too.

Tell whether this solution has one, zero or many solutions by solving it -2(z+3)-z=-z-4(z+2)

Answers

-2z - 6 - z = -z - 4z - 8

-3z - 6 = -5z - 8

-3z - 6 = -5z - 8

2z = -2

z = -1

the equation has 1 solution

An RV leaving Canada is stopped at customs at the border and weighed. The scale shows a reading of 2.5 tons. What is the weight of the RV in tonnes?

Answers

1 ton = 0.907185 tonnes

2.5 x 0.907185 = 2.26796 tonnes ( Round the answer as needed)
Final answer:

The weight of the RV in tonnes is approximately 2.26796 tonnes.

Explanation:

The weight of the RV can be converted from tons to tonnes using a conversion factor. One ton is equal to 0.90718474 tonnes. To find the weight of the RV in tonnes, we can multiply 2.5 tons by the conversion factor:

Weight in tonnes = 2.5 tons x 0.90718474 tonnes/ton = 2.26796 tonnes

Therefore, the weight of the RV in tonnes is approximately 2.26796 tonnes.

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What is the median of the data set?

{20, 25, 36, 41, 87, 91, 92, 95, 99}



Enter your answer in the box.

Answers

Median of the data set is the middlemost data in the set. To find for the median of a set, arrange first the numbers from least to greatest (or greatest to least will do). Then, if it has an odd numbers in a set (3,5,7,9,11 etc), you can only look for the middle of the set. If it has even numbers in a set (2,4,6,8,10 etc), then, just add the two middle datum/ numbers then divide it by 2.
In your equation, it is already arranged from least to greatest. Since it has odd numbers (9 numbers) in your data, the answer would be 87. (Four numbers is lower and four numbers is higher).

The median number means the middle number so the number in the middle would be the answer

Answer:

87

hope o helped

Have a great day or night

x^2 + 18x + 50 = 9

Solve by completing the square

Answers

step 1: both sides subtract 50: x²+18x=-41
step 2: both sides add (1/2 of 18)², which is 81: x²+18x+81=-41+81
step 3: make the square: (x+9)²=40
step 4: square root both sides: x+9=√40 or x+9=-√40
simplify: x=-9+2√10 or x=-9-2√10

Multiply. (3x+1)(x−1) Express the answer in standard form.

Answers

The answer will be 4x.

Answer:

3x2−2x−1

Step-by-step explanation:

triangle ABC undergoes a series of transformations to result in Triangle DF is triangle DEF congruent to triangle ABC

Answers

Answer :

Triangle ABC is translated 3 units up and 5 units right , and then rotated 90° clockwise to form traingle DEF.

Since, translation and rotation both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Triangle ABC is reflected over x axis ,and then translated 6 units down to form triangle DEF.

Since, translation and reflection both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Triangle ABC is rotated 180°, and then dilated by a scale factor of 3 to form triangle DEF.

Here rotation is a rigid transformation which maps only congruent images but dilation is not a rigid transformation because it produces similar images for scale factor other than 1 (with scale factor 1 it also produce congruent images) .

Thus, here ΔABC is not congruent to ΔDEF.

Final answer:

The determination of congruency between Triangle DEF and Triangle ABC depends on the nature of the transformations applied to Triangle ABC. If these transformations are rigid motions, then Triangle DEF will be congruent to Triangle ABC.

Explanation:

The question concerns whether Triangle DEF is congruent to Triangle ABC after undergoing a series of transformations. Congruent triangles are those that are identical in terms of size and shape, meaning their corresponding sides and angles are equal.

According to the given information, to determine congruency, we must consider the properties of the transformations involved. If the transformations applied to Triangle ABC are rigid motions (such as rotation, reflection, or translation), which do not alter the shape or size of figures, then Triangle DEF will be congruent to Triangle ABC. If however, the transformations include dilation or other non-rigid transformations that change the size but not the shape, Triangle DEF would not be congruent, although it could be similar to Triangle ABC.

Since the question provided involves linear transformations that transform lines into lines and take parallel lines to parallel lines, it is likely referring to rigid motions. Therefore, it suggests that Triangle DEF should be congruent to Triangle ABC, assuming that the series of transformations includes only those that preserve lengths and angles.

Carol wants to find out the favorite foods of students at her middle school. She asks the boys' basketball team about their favorite foods. so would that be random sampling or biased sampling and why?

Answers

that would be a bias sampling because if they are athletes the would probably eat healthy try getting every other person that comes I to the door that day. that would make the sampling unbiased. hope this helped

What is circumference of a circle if the diameter is 7 ft

Answers

Circumference of the circle is found using the formula 2πr. Since you have the diameter you can divide it by 2 to find the radius.

7/2 = 3.5

So the radius is 3.5. Now the circumference.

2(3.14)(3.5) = 21.98 ft

So the circumference is 21.98 ft

Hope this helps :)
The circumference of a circle is either [tex]2 \pi r[/tex] or [tex] \pi d[/tex]. In your case it's the latter. [tex] \pi [/tex], or 'pi', is equal to 3.14.

3.14 * 7 = 21.98.

Thus the circumference of a circle where the diameter of said circle is 7, is 21.98 [ft].

the college textbook this year was 197. the following year it was 222. what is the percent change in the price of the book HEEEEELLLLPPPPPP

Answers

197 divided 222 = 0.88% = 88%

PLEASE HURRY WILL MARK BRAINLIEST WOULD GIVE MORE POINTS IF I HAD MORE Model each scenario with an equation and a sketch. Solve for the missing value and u. Use complete sentences to interpret the solution. In your final answer, include your equation, sketch, interpretation, and all calculations necessary for the solution. To get home from school, Bob walks four blocks north and three blocks east. What is the straight line distance between Bob’s house and his school? One of the requirements of your summer window-washing job is to provide yourself with all of the necessary supplies, including a fourteen foot ladder. When you arrive at your first job, you place your ladder on the ground six feet from the base of the house and lean it towards a second story window, only to realize that the ladder doesn’t reach the window. Given the length of the ladder and its current position, what is one possible height of the second story window? (Hint: There is more than one correct answer.) In a softball diamond, each of the bases, including home plate, are equidistant from each other. Although the name implies differently, a softball diamond is in the shape of a square. Given that the distance between the bases is unknown, determine an expression for the straight line distance between first and third bases. A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?

Answers

Answer:

First question: 5. Second question:

You can do any really high number instead of doing the math.

a^2 + b^2 = c^2. A being side one, B being side 2, and C being side 3. Pythagorean theorem

1000 meters

Step-by-step explanation:

For the first question, we can use the Pythagoras theorem. make a square that is a 4 by 3. Then cut the square in half diagonally. Now to 4^2 + 3^2 which is 25. The square root of 25 is 5 so in a straight line, it'll be 5.

You can do any high number instead of calculating the minimum height.

Same as first with different inputs.

Same as first with different inputs.

The solution to 7x = 42 is x = ___.

A.4
B.5
C.6
D.7

Answers

C.6

7x = 42 => x = 42/7 = 6

Answer:

the x value equals 6.

Step-by-step explanation:

When you are solving for x, divide the 42 by 7.

Dilate (9, 6) using a scale factor of 1/3

Answers

The answer is (3,2)

To get this answer we either...
A) Multiply both coordinates by 1/3
or
B) Divide each coordinate by 3

9*(1/3) = 9/3 = 3
6*(1/3) = 6/3 = 2
Final answer:

To dilate the point (9, 6) using a scale factor of 1/3, multiply the x-coordinate and y-coordinate by the scale factor to find the new coordinates which are (3, 2).

Explanation:

To dilate the point (9, 6) using a scale factor of 1/3, we can multiply the x-coordinate and y-coordinate of the point by the scale factor to find the new coordinates.

For the x-coordinate, we have (9) * (1/3) = 3.

For the y-coordinate, we have (6) * (1/3) = 2.

So the dilated point is (3, 2).

The length of a rectangle is 3 inches more that its width. The perimeter of the rectangle is at least 30 inches. Which inequality shows the possible range of widths of the rectangle?

A. w ≥ 16.5 inches
B. w ≥ 13.5 inches
C. w ≥ 9 inches
D. w ≥ 6 inches

Answers

Perimeter of a rectangle: 2(l + w)

2(l + w) ≥ 30 in


Simplify- divide both sides by 2.

l + w ≥ 15 in


Substitute (w + 3) into l so only 1 variable is used.

(w + 3) + w ≥ 15 in


Simplify further- add variables and subtract 3 from both sides.

2w ≥ 12 in


Divide both sides by 2.

w ≥ 6 in


Answer: D


I really need help with these questions.. Even if you can only answer one anything helps! Will give points and mark for smartest

1. Evaluate the determinant for the following matrix:
Below is all in one Bracket

-4 -4 -3
3 3 -5
-5 2 -5

Answer Choices
A. –152
B. –203
C. 75
D. –263


2.

  Complete the multiplication: AB.

All sets of numbers are within a bracket.

A = 3 0 B= 2 8
2 -1 6 3

A. 6 0
1.2 -3

B. 6 24
3.4 5

C. 22 -8
7.8 -3

D. 6 24
3.4 13

3. Is in the 1st Picture

4.Use Gauss-Jordan elimination to solve the following linear system:
–3x + 4y = –6
5x – y = 10

A. (–6,2)
B. (2,–5)
C. (2,2)
D. (2,0)

5. If you were to use Gauss-Jordan elimination on the following linear system, what would the augmented matrix be? [ you can refer to second picture for 4 multiple choice answers ]

3w − x = 2y + z − 4
9x − y + z = 10
4w + 3y − z = 7
12x + 17 = 2y − z + 6

6. Refer to 3rd photo

Answers

Solutions below attached

WILL MARK BRAINLIEST! PLEASE HELP MEH!Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? Drag and drop the equation into the box.
A) x=180−31+40
B)x=90−40
C)​​x=180−(31+40)
D)​​x=90−(31+40)

Answers

A straight line (or two rays in a  straight line) = 180o
to find x start with this equation
31 + x + 40 = 180 Now get all the numbers on the right.
(31 + 40) + x = 180
x = 180 - (31 + 40)
Only A or C can be correct. It is C, but you have to be very careful how you eliminate A
C <<<< answer.


x = 180 - 31 - 40 is the correct way to remove the brackets. 
x = 180 -  71
x = 109

There are better ways to do this particular question without using brackets.

Answer:

C. [tex]x=180^o-(31^o+40^o)[/tex]  

Step-by-step explanation:

We have been given a figure of angles formed on a straight line.

Since we know that the angles on a straight line add up-to 180 degrees. Upon using this property we can set an equation as:

[tex]31^o+x^o+40^o=180^o[/tex]

Let us subtract 40 and 31 degrees from both sides of our equation to solve to x.

[tex]31^o-31^o+x^o+40^o-40^o=180^o-31^o-40^o[/tex]    

[tex]x=180^o-31^o-40^o[/tex]

Upon factoring negative sign from right side of our equation we will get,

[tex]x=180^o-(31^o+40^o)[/tex]

Therefore, the equation [tex]x=180^o-(31^o+40^o)[/tex] can be used to find the value of x and option C is the correct choice.


Your class is conducting an experiment to study geometric sequences. The class forms a line . The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line . The next people in line do the same with there slices of pizza . Which portion of the whole pizza does the 7th person in line get ? Please help !!!

Answers

To get this answer you begin your pattern with 1, and divide by 2 each time.

Here is your pattern:

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64.

The first person starts with the 1 whole pizza.

In a geometric pattern, you multiply or divide by the same thing each time.

The 7th person in line get 1/64th part of pizza.

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line .

And, The next people in line do the same with there slices of pizza .

Now,

Since, The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line . The next people in line do the same with there slices of pizza .

Hence, We get the sequence as;

⇒ 1, 1/2, 1/4, 1/8,....

Clearly, The sequence is geometric sequence.

⇒ T (7) = 1 × (1/2)⁶

           = 1/64

Thus, The 7th person in line get 1/64th part of pizza.

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An old-fashioned method of saving money is to stuff it in your mattress or hide it in a cookie jar on the top shelf of your closet. But most financial consultants will argue against this method of saving your money. Why? Give an example of a better solution to saving money that might be advised by a financial consultant.

Answers

To invest in stock or bonds so that you not only are saving money but receiving more money in return. Also instead of saving it in a cookie jar or something like that, you should put it in a savings account so that over time as you add more money into the account you will also be receiving interest for your money. They would advise you to do something with your money that will get you more money in return
Final answer:

Financial consultants argue against keeping cash at home and suggest opening a savings account or investing in a certificate of deposit (CD) for safer and more effective saving methods.

Explanation:

Financial consultants argue against the old-fashioned method of saving money by stuffing it in a mattress or hiding it in a cookie jar because it is not a safe or effective way to save. Keeping cash in your home puts it at risk of theft or loss, and it does not provide any potential for growth or earning interest. Instead, a financial consultant may suggest opening a savings account at a bank or credit union. This allows your money to be securely stored and can also earn interest over time. Another option they may recommend is investing in a certificate of deposit (CD), which offers a higher interest rate but requires depositing the money for a specific period of time.

what is 3 groups of 1/8

Answers

1/8+1/8+1/8=3/8
This part below is extra
1/8 x 1/8 x 1/8=1/512

The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away?

A. 4 hours
B. 3 hours 30 minutes
C. 3 hours 15 minutes
D. 3 hours

Answers

525 divided by 150 is 3.5

3.5= 3 hours and 30 mins

answer is b

Speed of train is 3 hours 30 minutes

Given that;

Speed of train = 150 miles per hour

Distance of Sun city = 525 miles

Find:

Speed of train

Computation:

Speed of train = Distance of Sun city / Speed of train

Speed of train = 525 / 150

Speed of train = 3.5

Speed of train = 3 hours 30 minutes

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Order these numbers from least to greatest

Answers

6.57, 6 5/6, 6.838, 137/20
137/20 is equal to 6 17/20 or 6.85. 
6 5/6 is equal to 6.8333. 
Least to greatest, they all are: 
6.57, 6 5/6, 6.838, 137/20 
Hope this helps!

In the figure, PQ is parallel to RS. The length of RP is 2 cm; the length of PT is 18 cm; the length of QT is 27 cm. What is the length of SQ?

Answers

Step 1    

Find the value of TS

we know that

if PQ is parallel to RS. then triangles TRS and TPQ are similar

so

[tex]\frac{TR}{TP} =\frac{TS}{QT}[/tex]

solve for TS

[tex]TS =\frac{TR*QT}{TP}[/tex]

we have

[tex]RP=2\ cm\\TP=18\ cm\\QT=27\ cm[/tex]

[tex]TR=TP+RP\\TR=18+2=20\ cm[/tex]

substitute

[tex]TS =\frac{20*27}{18}[/tex]  

[tex]TS =30\ cm[/tex]

Step 2

Find the value of SQ

we know that

[tex]SQ=TS-QT[/tex]

we have

[tex]TS =30\ cm[/tex]

[tex]QT=27\ cm[/tex]

substitute

[tex]SQ=30\ cm-27\ cm=3\ cm[/tex]

therefore

the answer is

the value of SQ is [tex]3\ cm[/tex]

Answer: C. 3cm

Step-by-step explanation:

Other Questions
in the context of human behavior in organizations, _____ are favorable times or chances for progress and advancement. A pitcher of fruit punch holes 2 gallons of nine people share the entire pitcher equally how much punch does each person get? Match the feature or term in column 1 to the characteristics in column 2A. PangaeaB. PanthalassaC. HimalayasD. Magma1.Super Ocean2. Caused by continents colliding3. Generated in subduction zones4. Supercontinent Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days? Explain the process of radiometric (radioactive dating) in your own words. what is the main goal of a storys antagonist Zero gauge pressure corresponds on the absolute scale to Why is it controversial for Ophelia to be given some form of Christian burial? The idea that individuals learn to be deviant by interacting with others who are already deviant is called:a. conflict theory.b. self-fulfilling prophecy.c. differential association theory.d. labeling theory. When it comes to nutrition therapy for people with Diabetes, what are the diet recommendations? Thirty runners compete in a cross country race. your school has five runners in the race. what is the probability that three runners from your school place first, second, and third. Find the absolute maximum and minimum of values of the setd. f(x,y)= 2x^2+y^2-4x-2y+1 d={(x,y) | 0 _________ seeks to minimize resource costsa. effectivenessb. efficiencyc. goal attainmentd. controlling Is the answer b? I'm not sure. where was the first printing press created How did that mycenaean civilization differ from the Minoan civilization Select all that apply. When writing your resume, you must include your _____. What is the definition of a circle? A circle is a plane figure with no straight sides. A circle is a point and all the points in a plane that are the same distance from it. A circle is the set of all points in a plane that are a given distance from a given line segment. A circle is the set of all points in a plane that are the same distance from a fixed point called the center. A 0.32 c particle moves with a speed of 18 m/s through a region where the magnetic field has a strength of 0.95 t . you may want to review (pages 773 - 777) . part a at what angle to the field is the particle moving if the force exerted on it is 4.8106n? express your answer using two significant figures. = request answer part b at what angle to the field is the particle moving if the force exerted on it is 3.0106n? express your answer using two significant figures. What did the Greeks use to establish ideal proportions in the human body architecture and other forms of art