What is 6 divided by 2 (1+2)

Answers

Answer 1

Answer: 9

Step-by-step explanation:

6 / 2 ( 1+2)

We divided first

3 ( 1 +2)

Then we do the 1+2 second because they have ( )

3 (3)

Then we times them and get 9

Answer 2
This could also be written as 6 / [2(1+2)]. This sounds like a better match to the questions wording because it has 6 being divided by the entire phrase, but correct me if I’m wrong.
If it is in fact like this, and 6 is being divided by the entire phrase 2(1+2), then it should be done like this:
First 1+2 in the parentheses should be simplified to 3.
Then the resulting 2(3) in the brackets (functioning as parentheses) should be simplified to 6.
Then 6/6 should be simplified to 1.
The other responder is correct if the problem is meant that way, I’m correct if it’s this way. Hope this helps

Related Questions

HELP ME PLEASEEEEEEEE

Answers

Answer: Look in the attachment:

Step-by-step explanation: If it was random sampling, it would all be done randomly, barley without doing anything, and NOT doing anything particular, the 4 that are circled (in the attachment) are the ones that I am talking about; they ARE NOT examples of random sampling. If you look at the attachment, you might understand a little more :P

These five frames show a shape's different positions. Describe how the shape moves to get from its position in each frame to the next.

Answers

The motion of the shape in each frame are:

Frame 1 - Initial position of the shapeFrame 2 - Horizontal Translation towards the rightFrame 3 - 90 degree Rotation about its baseFrame 4 - Vertical Translation downwardsFrame 5 - Reflection of the shape

What is Rigid transformation?

Rigid transformation is a method in which the orientation, size or position of a given object is changed.

Rigid transformation implies either increasing, decreasing or changing the orientation of a given shape. Some types of rigid transformation are: reflection, rotation, translation, and dilation.

i. Reflection is a method in which a given object is flipped about a reference point or line.

ii. Rotation is the process in which a given object is turned about a certain angle in degrees.

iii. Translation involves moving a given object a definite units horizontally or vertically.

iv. Dilation is a process in which the dimensions of a given object is either increased or decreased as required.

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Need help Asap 25 points

Graph the solution to this inequality on the number line.

−8+x<−3

Answers

Answer:

x< 5

Step-by-step explanation:

See the graph below

what does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to zero?

Answers

The probability of a success gets closer to zero is 15.

What is behavior of the standard deviation ?

The average squared difference between data points and their mean value is called variance, and it is the variance's square root that is used to calculate standard deviation. The symbol for standard deviation can be seen below.

Both the standard deviation and the variance are indicators of dispersion, but the standard deviation is more explicitly the typical distance between a data point and the mean. The majority of the data will be within one standard deviation of the mean. While the variance is not measured in the same units as the actual data, the standard deviation is

If mean deviation is 12, what is its standard deviation?

Lets look the problem .

Given ,

Mean deviation (MD) =12

Here is the inequality to calculate the standard deviation.

6QD=5MD=4SD ,

Where ,QD stands for the Quartile deviation.

SD stands for the standard deviation.

So,

Standard deviation =(5/4)*MD

=(5/4)*12

=15

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In a group of 42 people, 30 people speak Spanish and 20 people speak French. Who speaks neither of these languages?

Answers

The number of people who speaks neither of these languages is 8.

How many people speaks neither of these languages?

Set theory is a branch of mathematical logic that studies sets, which can be described informally as collections of objects. Although any object can be collected into a set, set theory as a branch of mathematics is primarily concerned with those that are relevant to mathematics as a whole.

Sets are well-defined collections that are entirely defined by their elements. In this case, in the group of 42 people, 30 people speak Spanish and 20 people speak French, those who speak neither of these languages will be:

= 20 + 30 - 42

= 8

Therefore, 8 people neither speaks the languages.

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Let S be the part of the plane 1x+3y+z=3 which lies in the first octant, oriented upwards. Find the flux of the vector field F=3i+2j+3k across the surface S.

Answers

Answer:

Refer to the photo taken.

Step-by-step explanation:

Determine the sign of the solution of
ax+b=cx+d in each situation. Justify your
reasoning with a graph.
a. 0 b. d

Answers

Answer:

ax+b=cx+d

Step-by-step explanation:

Choose the equation of a line parallel to the given equation and passing through a point P. x + 2 y =5 ; ( 2,-5)

A.) Y = 2 x -4
B.) Y = -1/2x -1
C.) Y = -1/2x -4
D.) Y = -2 x -1

Answers

Answer:

The correct answer is C: Y = -1/2x - 4.The slope of the given line is -1/2, so any line that is parallel to it will have the same slope. In order to find the equation of a line with the same slope that passes through the point (2, -5), we can use the point-slope form of the equation of a line.The point-slope form of the equation of a line is:y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is a point on the line.In this case, we can plug in the values m = -1/2, x1 = 2, and y1 = -5 to get:y + 5 = -1/2(x - 2)Solving for y, we get:y = -1/2x - 4Therefore, the equation of the line that is parallel to the given line and passes through the point (2, -5) is Y = -1/2x - 4.

the points in the table lie on a line. find the slope of the line (X. -2, -1, 0, 1) (Y. -10, -6, -2, 2)​

Answers

Answer: the slope of the line is 4

Step-by-step explanation:

We only need two ordered pairs to find the slope

(-2,-10), (-1,-6)

the slope formula is y2-y1/x2-x1

-6-(-10)/-1-(-2)

-6+10/-1+2

4/1

4

the slope of the line is 4

Answer:

4

Step-by-step explanation:

Knowledge Needed

The slope is the amount the y-value changes on a line when the x-value changes by 1.

Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Question:

We have the points:

(-2,-10)

(-1,-6)

(0,-2)

(1,2)

We only need 2 points to plug into the slope formula. I'll use the first 2.

(-2,-10) ; (-1,-6)

[tex]\frac{-6--10}{-1--2}[/tex]

[tex]\frac{4}{1}[/tex]

4

Find the percent of sugar in the concentration:

A syrup made of 10kg of water and 2kg of sugar

Answers

Answer: 2/12= 16.67% four sig fig

Step-by-step explanation:

Using (mass of sugar)/(total mass)

and total mass equals (mass of sugar) + (mass of water)


get a total mass of 12kg

Therefore percentage is 2/12=1/6=16.666666%

Answer:

The percentage of sugar in the syrup is 16.66...%

Step-by-step explanation:

lmk

SOMEONE PLEASE HELP I HAVE NO CLUE HOW TO DO THIS!!!!!!!!
Each of 36 students at a school play bought either a cup of orange juice or a sandwich. A cup of orange juice costs $1 and a sandwich costs $3. The total amount collected was $76. How many students bought orange juice, and how many bought a sandwich?
Let x represent the number of students who bought a cup of orange juice and y represent the number of students who bought a sandwich. Then the problem can be represented by this system of equations:
x + 3y = 76
x + y = 36
Answer the questions to solve the problem.
1. Explain what you should do with the two equations to eliminate one of the variables.

2. Find the value of y.

3. Find the value of x.

4. Interpret the solution and check the values in the system.

Answers

-1•x+y=36
-x-y=-36

X+3y=76
-4y = -112
Find y
-4 both sides
Y= 28
Plug 28 to x+y=36
X+-28 =36
Add 28 to both sides
X =64 64 students who bought a cup of orange juice and 28 students bought a sandwich.


Find the square root of each number.
√81
√169

Answers

Answer:

9, 13

Step-by-step explanation:

√81 = √9 x 9 = 9

√169 = √13 x 13 = 13

The foot of the perpendicular drawn from the point (2, 3) to a line is (3, -1). Find
the equation of the line. Also find the equation of the line parallel to the line and
passing through the origin.

Answers

Answer: y=4x-5     y=4x

Step-by-step explanation:

first we find the slope by using

(y2-y1)/(x2-x1)

(-1-3)/(3-2)

-4/1

-4

so we know the slope is -4

y=4x+b

now we can use either point but ill use (2,3)

we substitute to find b

3=4(2)+b

3=8+b

-5=b

so now we know that the y intercept is -5

so put it together

y=4x-5

if it passes through the origin

it would have the y-intercept of 0

so that equation just be

y=4x

and it keeps the same slope

because they are parallel

hope this helped

PLS HELP WITH THIS ASSIGNMENT OMG ITS SO HARD FOR ME

Answers

The new coordinates of each of the triangle coordinates are;

1) A'(-12, 6), B'(3, 9), C'(-9, 18)

2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) A'(-8, 4), B'(2, 6), C'(-6, 12)

6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

How to carry out dilation in transformation?

Dilation is a transformation whereby an image size could increase or even decrease but will retain the same shape as the original one. Therefore, we will simply multiply each coordinate by the scale factor;

The coordinates of both triangles are given as;

Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)

Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)

1) The dilation transformation of triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;

A'(-12, 6), B'(3, 9), C'(-9, 18)

2) The dilation transformation of triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;

A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) The dilation transformation of triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;

X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) The dilation transformation of triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;

X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) The dilation transformation of triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;

A'(-8, 4), B'(2, 6), C'(-6, 12)

6) The dilation transformation of triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;

X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) The dilation transformation of triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;

X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) The dilation transformation of triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;

A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

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Mr. Kenny teache a ceramic cla. She find that he ha 7/8 pound of clay for a project. The project require 1/6 of a pound. How many project can Mr. Kenny complete without running out of clay?

Answers

Mr. Kenny can complete five projects without running out of clay.

The number of projects that can be completed will be calculated using division.

1/6 of a pound of clay is required for number of project = 1

7/8 pounds of clay will be required for number of project = 7/8 ÷ 1/6

Rewriting the fraction with numerator and denominator

Number of projects = (7×6)÷(8×1)

Performing multiplication in numerator and denominator

Number of projects = 42/8

Performing division

Number of projects = 5.25

Rounding off, we get number of projects = 5

Mr. Kenny can complete 5 projects.

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Franklin want to create nack bag for a trip he i going on. He ha 10 granola bar and 6 piece of dried fruit. If the nack bag hould be identical without any food left over, what i the greatet number of nack bag Franklin can make?

Answers

Franklin has 10 granola bars and 6 pieces of dried fruit. The greatest number of snack bags Franklin can make is 2 bags.

The factor shared by at least two numbers is known as the common factor. Each of the given numbers is divided exactly by two or more numbers.

Here given granola bar = 10 and dried fruit = 6.

Then, the common factors of 10 and 6 are

1, 2, 3, and 6 are used to represent factors of 6.

1, 2, 5, and 10 are used to represent factors of 10.

2 is discovered to be the biggest common factor between 6 and 10.

Then, the greatest number of snack bags Franklin can make is 2 bags.

The complete question -

Franklin wants to create a snack bag for a trip he is going on. He has 10 granola bars and 6 pieces of dried fruit. If the snack bag should be identical without any food left over, what is the greatest number of snack bags Franklin can make?

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Angles 1 and 7 are what type of angles?
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior
D. Corresponding angles

Answers

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are pairs of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They also have the same degree. So, the answer is B.

At a conference, there are 90 math teachers and 75 science teachers. write the ratio of math teachers to science teachers in simplest form.

Answers

Answer:

6:5 or [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{90}{75}[/tex]  Divide by [tex]\frac{15}{15}[/tex]

[tex]\frac{6}{5}[/tex] or 6:5

Ratio =90\75

=6/5

Correct answer is 6:5

a square has an area of 121 feet square feet. what is the length of each side

Answers

Answer: 11 feet

Step-by-step explanation:

The equation for area of square is

area = s^2

So we just need to take the square root of 121, and we will get the answer is 11 ft!

Answer:

11 ft

Step-by-step explanation:

Since the area of the square is 121 (and squares have all four sides the same length), the sides must be 11 feet. Because

11 × 11 = 121

You could show work by using an equation.

Area = s^2

121 = s^2

Square root both sides.

sqrt121 = sqrt(s^2)

11 = s

The side length is 11 feet.

Find the x- and y-intercepts of the graph of
x + 2y = 28.

Answers

Answer:

(0,14)  This is the y intercept.

(28,0) This is the x intercept.

Step-by-step explanation:

Let x = 0

x + 2y = 28

0 + 2y = 28

2y = 28  Divide both sides by 2

x = 14

(0,14)  This is the y intercept.

Let y = 0

x + 2y = 28

x + 2(0) = 28

x + 28

(28,0) This is the x intercept.

Which of the following statement is NOT true?
a. Congruent triangles are triangles with corresponding congruent sides.
b. Two triangles with corresponding congruent angles are congruent.
c. Triangles with corresponding congruent sides and an included angle are congruent.
d. Triangles with corresponding congruent angles and an included side are congruentâ

Answers

B is not true, since only knowing angles on two triangles will not make them congruent. AAA does not make triangles congruent and you will always need a side to make triangle congruent

Last year a community had 32 incidents of vandalism.

​This year they only had 23 incidents of vandalism.

Answers

Answer: 22%

Step-by-step explanation:

20
Select the correct answer.
What is this expression in simplified form?
2√2-7√18
O A. 84√2
OB. 18√5
O c. 14sqrt6
O D.
D. 84

Answers

The Question is based on concept of Simplification and answer to this question is -19√2

What is Simplification?

Simplification is the process of making a task, problem, or system easier to understand and manage. It involves breaking down a concept or problem into simpler parts in order to better understand the whole. Simplification can help streamline a process, making it more efficient and easier to complete. It can also help to make complex topics more accessible to a wider audience. Simplification can also be used to make a difficult problem more manageable, allowing for easier solutions.

Here we are given question 2√2 - 7√8 we can do some simplifications like:
but we know we can write √8 = 3√2
hence putting back in original eqn
2√2 - 7(3√2)
2√2 - 21√2
-19√2
Hence required answer is -19√2 by simplification

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Don has a box of colored pencils . He uses 53 Pencils and has 118 Left in the box. Write an equation showing How many pencils left in the box before he starts drawing.

Answers

Answer:

He has 171 colored pencils before drawing

53+118 = c

Step-by-step explanation:

To write the equation:

53+118 = c

171=c

Answer:

x = 53 + 118

Step-by-step explanation:

Now we have to,

→ find and write an equation.

Let's assume that,

→ Total pencils = x

Forming the equation,

→ x = Used pencils + Left pencils

Then the equation will be,

→ x = 53 + 118

→ [ x = 171 ]

Hence, total pencils are 171.

6. A car takes 5 hours to cover a distance if it is moving with a
speed of 40 km/hr. Find the time taken by the car if it is
movig with a speed of 50 km/hr.

Answers

Answer:

It will take 4 Hours

Step-by-step explanation:

5 x 40 equals 200 (So 200 is the total distance needed to be made)

We can now divde the total distance by how fast the car is moving to get the time.

200 / 50 = 4

So the answer is 4 hours

7. A carpenter has a plank of wood that is 121.92 centimeters
long. The carpenter cuts the plank into 4 equal pieces. About
how long is each piece?
about
centimeters

Answers

The length of each wooden plank will be 30.48 cm

What is the length of each wooden plank?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.There are three kinds of fractions. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.

Here given,

The total length of the wooden plank is 121.92 centimeters.

Also given that ,

A carpenter cuts the plank into 4 equal parts

=> 121.92 / 4

=> 30.48

Therefore the length of each piece will be 30.48 cm

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a child of a parent with a mutation in collagen and displaying oi will have what probability of also having oi? 25% 50% 75% 100%

Answers

A child of a parent with a mutation in collagen and displaying OI will have 50% probability of also having OI.

What is Osteogenesis Imperfecta (OI)?

Osteogenesis imperfecta (OI) is an inherited or genetic bone disorder which is present at birth. It is also known as brittle bone disease. A child born with OI may have soft bones which fracture easily, bones which are not formed normally, and other problems. Signs and symptoms may range from mild to severe.

Life expectancy for OI babies vary greatly depending on OI type. Babies with Type II generally die soon after birth. Children with Type III may live longer, but mostly only until around age 10.

About 90% of OI cases are caused by autosomal dominant mutations in the type I collagen genes. Mutations in one or the other of these genes cause the body to make either abnormally formed collagen or too little collagen. Mutations in these genes cause OI Types I through IV.

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find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2, (4, 58)

Answers

Answer:Y=10X-16

Step-by-step explanation:

y = x3- 2x 2,( 2, 4)( Given)

Find the first outgrowth, calculate the pitch and find the equation.

We should first know the pitch of the wind at(,4)

pitch at any point on the wind is written by its first outgrowth as

dy/ dx = 3x2- 2

pitch at x = 2

m = 3( 2) 2- 2 = 12- 2 = 10

Equation of a digression is given as

c mx = y

Where m is the pitch

Substituting the values

c 10 × 2 = 4

On farther computation

c 20 = 4

c = 16

The equation of the digression is y = 10 x- 16

Thus, the equation of the digression line to the wind is y = 10x-16

The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
Graph the equations in the system.
Use your graph to estimate how much each item cost.

Answers

The equations are 2r + b = 8.40 and 3r + b = 9.35. Then the cost of refill and egg breakfast will be $0.95 and $6.50, respectively.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The eatery charge you and your companion got was not organized. You requested 2 beverage tops off and the egg breakfast, for a sum of $8.40. Your companion requested 3 tops off and the egg breakfast for $9.35.

Let 'r' be the cost of refill and 'b' be the cost of egg breakfast. Then the equations are given as,

2r + b = 8.40            ...1

3r + b = 9.35            ...2

From equations 1 and 2, then we have

3r - 2r = 9.35 - 8.4

r = $0.95

Then the cost of the egg breakfast will be given as,

2 (0.95) + b = 8.40

b = $6.50

The equations are 2r + b = 8.40 and 3r + b = 9.35. Then the cost of refill and egg breakfast will be $0.95 and $6.50, respectively.

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12 less than 4 times a number is equal to 64

Answers

Answer: x = 19

Step-by-step explanation:

Let's start with what we have, we'll let x = the number:

4x - 12 = 64

Then we add 12 to both sides:

4x = 76

Divide by 4 from both sides:

x = 19

Other Questions
an individual suffering from a paralyzing fear of clowns visits a therapist. the therapist gradually exposes the patient to an image of a clown, then a movie featuring clowns, and finally to an in-person encounter with a clown. which perspective is most consistent with this therapeutic approach? What is the quotient of three and one third three fourths? the credit(s) recorded in the journal to reimburse the petty cash fund is to a.various accounts for which the petty cash was disbursed. b.petty cash. c.accounts receivable. d.cash. Consider an arbitrary system which has a memory of size 2048 bytes and a cache size of 32 bytes. Consider, each cache block is of 2 words ( 1 word = 4 Bytes) and the system uses a direct-mapped cache. 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This Excel file has data on the ratio (R/L) from the teeth of human subjects of known age. Question 1. Use the data to find the least squares intercept b0 and slope b1 in the equation t = b0 + b1*LN((1+R/L)/(1-R/L))^(). intercept b0 slope b1 Question 2. While tending to his flower garden, Sherlock Holmes discovers a body buried in his backyard. Forensic analysis yields the value 0.045 for the ratio (R/L). Use the least squares equation to estimate the age of Sherlock Holmes' surprise garden visitor. years Question 3. Calculate a 95% prediction interval for the age at death of Sherlock Holmes' surprise garden visitor. lower bound upper bound Question 4. Several years ago a man in Sherlock Holmes's neighborhood mysteriously disappeared. At the time of the disappearance the man was 35 years old. Do you think that this is the body of that man? No YesAge as a Function of R/LR/LLN[(1+(R/L))/(1-(R/L))]Age(yrs)0.0253140.026180.0314210.0302210.0343250.0327250.0317260.0312260.0342260.0338270.0325280.0334280.0334290.0333300.0362330.0359330.0401360.0375360.0398370.0424380.0424380.0404410.0489490.0498530.0518570.0526630.0588690.057969 A point has a positive x-coordinate and a positive y-coordinate. which quardrant is in it a shipment of 14 televisions sets contains 4 defective sets. a hotel purchases 8 of these televisions sets. what is the probability that the hotel receives at least one of the defective sets? Read the excerpt from Dr. Martin Luther King Jr's "I Have a Dream" speech.[1] I am happy to join with you today in what will go down in history as the greatest demonstration for freedom in the history of our nation.[2] Five score years ago, a great American, in whose symbolic shadow we stand today, signed the Emancipation Proclamation. This momentous decree came as a great beacon light of hope to millions of Negro slaves who had been seared in the flames of withering injustice. It came as a joyous daybreak to end the long night of their captivity.[3] But one hundred years later, the Negro still is not free; one hundred years later, the life of the Negro is still sadly crippled by the manacles of segregation and the chains of discrimination; one hundred years later, the Negro lives on a lonely island of poverty in the midst of a vast ocean of material prosperity; one hundred years later, the Negro is still languished in the corners of American society and finds himself in exile in his own land.Which phrase from the text provides the best context clue to determine the meaning of "captivity" in paragraph 2?Group of answer choicesJoyous daybreakOne hundred yearsStill not freeSadly crippled The table below shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.What is the rate of change (slope) of the distance in feet below sea level with respect to time that the submarine traveled? Place your answer in the box: in a fruit basket there are 120 fruits some are plums costing 2$ each and others are peaches costing 3$ each total cost of plims was 30$ more than the cost of peaches how many plums and how many peahces are there it is not possible to target fungal cytoplasmic membranes because fungi are eukaryotes, so medications affecting fungal membranes would also target human cell membranes. True or false . Identify the term that best describes the italicized word.LaKeisha was the only student (who knew which )book had been assigned.proper adjectiveO indefinite adjectiveO interrogative adjectiveO demonstrative adjective a norman window has the shape of a rectangle surmounted by a semicircle. (thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.) a window with the shape of a rectangle surmounted by a semicircle. the diameter of the semicircle is equal to the width of the rectangle. the rectangle has width x. if the perimeter of the window is 32 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted. In 1972, E. Eisen et al. (Genetics 72:129-142) conducted experiments in which they continuously selected for increased 12-day litter weight in a population of mice. They observed that the litter weight steadily increased but leveled off after 17 generations. Eisen et al. then began reverse selection by selecting for decreased 12-day litter weight starting with one of the generation-17 families. This group began immediately to respond to selection as the weight dropped 4.8 g after one generation and 7.3 g after five generations. Based on the results of the reverse selection, what is the most likely explanation for the leveling off of 12-day litter weight in the original population? A. Genetic selection plateau B. Physiological selection plateau C. Transgressive segregation D. Overdominance E. Heterosis many partitional clustering algorithms that automatically determine the number of clusters claim that this is an advantage. list two situations in which this is not the case. g' 12 viruses frequently infect bacteria and insert new genes into the genetic material of the bacteria. when these infected bacteria reproduce asexually, which genes would most likely be passed on? select one: a. only the new genes b. both the original and the new genes c. neither the original nor the new genes d. only the original genes the spinoreticular, spinomesencephalic, and ____ tracts make up the anterolateral system.multiple choice question. bill is persuasive and adventurous. bella prefers working with objects. according to holland's six personality types, bill is and bella is . which of the following statements is false? group of answer choices if there are only two goods, guns and butter, it is possible to produce more of both goods through economic growth. if there are only two goods, guns and butter, it is possible to produce more of both goods if the economy is currently operating at a productive efficient point. if there are only two goods, guns and butter, it is possible to produce more of both goods if the economy is currently operating at a productive inefficient point. if there are only two goods, guns and butter, producing more of one means producing less of the other if the economy is currently operating at a productive efficient point.