Factor the greatest common factor: 28a3b4 20a2b2 − 16ab3. 4ab(7a2b 5a − 4b2) 4ab2(7a2b 5a − 4b) 4ab2(7a2b2 5a − 4b) 4ab(7a2b3 5a − 4b)

Answers

Answer 1

Answer:

4ab2(7a2b2 5a - 4b)

Step-by-step explanation:

28a3b4 20a2b2 − 16ab3

The GCF of 28, 20 and 16 is 4.

GCF of the variables is ab2

So the answer is

4ab2(7a2b2 5a - 4b)

Answer 2

Answer:

4ab2(7a2b2 5a - 4b)

Step-by-step explanation:


Related Questions

Why are all the multiples of 8 even?

Answers

All the multiples of 8 represents they are even numbers because of the following property:

Odd × even = Even

As given in the question,

Given number is equal to 8,

Multiples are those numbers which we get after multiplying the given number to any of the integer.

Multiples of 8 are equal to:

8, 16, 24, 32, 40, 48, 56, ..... so on.

Even numbers are those numbers which get divided by 2 without leaving the remainder.

Odd × odd = Odd

Even × even = even

Odd × even = Even

When we multiply any number by an even number result is always an even number.

Example:

2 (even) × 2(even) = 4(even)

2  (even) × 3 (odd ) = 6 (even)

Here

8 is an even number multiplying any integer to 8 is always an even number.

Therefore, all the multiples of given number  8 are always an even number as Odd × even = Even.

Learn more about multiple here

brainly.com/question/24327297

#SPJ4

What is the value of 9^−6/9^−4?

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

using the property of exponents

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{9^{-6} }{9^{-4} }[/tex]

= [tex]\frac{1}{9^{(-4-(-6))} }[/tex]

= [tex]\frac{1}{9^{(-4+6)} }[/tex]

= [tex]\frac{1}{9^2}[/tex]

= [tex]\frac{1}{81}[/tex]

Answer:

1/81

Steps:

move 9^-6 to the denominator using the negative exponent rule

b^-n=1/b^n

1/9^-4 x 9^6

Multiply 9^-4 by 9^6 by adding the exponents

1/9^2

Raise 9 to the power of 2

1/81

How would you classify angle 1 and angle 5?

Answers

Answer: Alternate Exterior Angles

Step-by-step explanation:


Simply, both angles are outside the paralell lines.

You earn $28.50 per hour. Worked 34 hours last week. What was your gross pay?
Your answer

Answers

Answer:$969

Step-by-step explanation:

what is three fourths plus one third

Answers

Answer:

3/4 + 1/3 = 13/12 = 1 1/2

Step-by-step explanation:

Add the expreion (-4/5t 5/3) and (-3 2t)

a)-19/5t 11/3

b)13/15t - 1

c)-4/3t 1

d)6/5t - 4/3

Answers

The addition of the algebraic expression is = [tex]\frac{6}{5} t - \frac{4}{3}[/tex], so option (d) is correct.

Given that,

The expression (-4/5t + 5/3) and (-3 + 2t)

The addition of algebraic expressions requires categorizing the terms in an algebraic expression into two types - like and unlike terms.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). ...

These expressions are represented with the help of unknown variables, constants and coefficients.

Then, take up the like terms and add them.

The addition of algebraic expression is;

= [tex]-\frac{4}{5} t + \frac{5}{3} -3+2t[/tex]

= [tex]-\frac{4}{5} t+2t+\frac{5}{3} -3[/tex]

= -0.8t + 2t + 1.66 - 3

= 1.2t - 1.34

= [tex]\frac{6}{5} t - \frac{4}{3}[/tex]

Therefore,

The addition of the algebraic expression is = [tex]\frac{6}{5} t - \frac{4}{3}[/tex], so option (d) is correct.

To learn more about Algebraic expression visit :

brainly.com/question/14147433

#SPJ4

what is 7/10+1/2+38 and type the anserw for me betterly

Answers

Answer: 39 1/5

Step-by-step explanation:

7/10 + 1/2 + 38

= 7/10 + 5/10 + 38

= 12/10 + 38

= 38 12/10

= 39 2/10

= 39 1/5

If the 38 was supposed to be 3/8, heres the answer :

7/10 + 1/2 + 3/8

= 28/40 + 20/40 + 15/40

= 63/40

= 1 23/40

I just need to know what kind of polynomial expression and the amount of terms

Answers

For the given bi-quadratic polynomial with 4 terms, the constant is -1/6, the leading term is -9x⁴ and the leading coefficient is -9.

What is a polynomial?

When two or more algebraic terms are added, subtracted, or multiplied (no division), the result is a mathematical expression known as a polynomial. Constants, positive exponents, and at least one variable are all commonly present in polynomial expressions.

Consider the given polynomial,

The highest power of the variable is 4. Therefore this type of polynomial is called a bi-quadratic polynomial.

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. The number of terms in the above equation is 4.

The term which does not contain any variables are called constant. For the given polynomial the constant is -1/6.

The term with the largest power of the variable is the leading term. The leading term's coefficient is the leading coefficient.

For the above polynomial, the leading term is -9x⁴ and the leading coefficient is -9.

Therefore the above for the given bi-quadratic polynomial with 4 terms, the constant is -1/6, the leading term is -9x⁴ and the leading coefficient is -9.

To know more about polynomials visit:

brainly.com/question/4142886

#SPJ1

The function g is given in three equivalent forms. Which form most quickly reveals the vertex?
Choose 1 answer:
(Choice A) A g(x)=3(x+3)(x-1),
(Choice B) B g(x)=3x^2+6x-9
(Choice C) C g(x)=3(x+1)^2-12

What is the vertex?

Answers

Since the function g is given in three equivalent forms, a form which most quickly reveals the vertex is: C. g(x) = 3(x + 1)² - 12.

The vertex is equal to (-1, -12).

What is the vertex form of a quadratic equation?

In this exercise, you are required to determine and select the vertex form of a function g that is written in three equivalent forms. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

Based on the information provided, we can reasonably infer and logically deduce that a mathematical expression which quickly reveals the vertex of the quadratic equation is given by g(x) = 3(x + 1)² - 12.

Since the directrix is horizontal, the axis of symmetry would be vertical. Additionally, the distance (a) from directrix to vertex on the axis of symmetry is equal to 3.

In conclusion, the vertex of this quadratic equation is given by the ordered pair (-1, -12).

Read more on vertex here: https://brainly.com/question/14946018

#SPJ1

3 Look at the equation below.
y = 2x - 2
Which situation is best described by the
equation?
The temperature at 2:00 A.M. is 2°C and
rises 2° each hour for x hours.
The temperature at 2:00 A.M. is -2°C and
rises 2° each hour for x hours.
The temperature at 2:00 A.M. is 2°C and
drops 2° each hour for x hours.
The temperature at 2:00 A.M. is -2°C and
drops 2° each hour for x hours.??

Answers

Answer:the temperature at 2:00 am is 2C and drops 2 each hour for X hours

Step-by-step explanation:

What if these particles is able to leave the atom?
1.Electrons
2.Protons
3.Neutrons

Answers

A chemical element's atom is a particular type of particle of substance. A positively charged electron or many negatively charged electrons encircle the central nucleus of an atom.

What if these particles is able to leave the atom?

Electrons: If an electron leaves an atom, it is said to be ionized. Ionization can occur through various processes, such as collision with another particle or exposure to electromagnetic radiation.

Protons: Protons are found in the nucleus of an atom, and are held in place by the strong nuclear force. If a proton were to leave the nucleus, it would no longer be a stable atom and it would become an ion.

Neutrons: Neutrons are also found in the nucleus of an atom and are held in place by the strong nuclear force. If a neutron were to leave the nucleus, it would no longer be a stable atom, and it would become a different element.

To know more about atoms visit:

https://brainly.com/question/29695825

#SPJ1

Please help it’s argent

Answers

Answer:

40%

Step-by-step explanation:

no of children = 16

no of adult = 24

total = 40

percentage of people who are children =

[tex] \frac{16 \\ }{40} \times 100\%[/tex]

[tex] = \frac{1600 \\ }{40} \%[/tex]

[tex]40\% \\ [/tex]

i hope this helped

The length of a rectangle is 7 les than twice the length of the width if the area of the rectangle is 15 square meters, find the dimensions of the rectangle define your variables and write an equation PLEASE HURRY SHOW STEPS

Answers

For the given area 15 m², The length of rectangle is 3 and breadth is 5.

The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.

Given,

Let length of rectangle = L

Breadth of rectangle = B

According to the question,

L = 2B - 7

Area = 15 m²

Area of rectangle = Length × Breadth

15 = (2B - 7)(B)

⇒ 15 = 2B² - 7B

⇒ 2B² - 7B - 15 = 0

⇒ 2B² - 10B + 3B - 15 = 0

⇒ 2B(B - 5) + 3(B - 5) = 0

⇒ (2B + 3)(B-5) = 0

⇒ B = 5 or B = -3/2

The value of Breadth cannot be negative

L = 2(5) - 7

L = 3

The length of rectangle is 3 and breadth is 5.

To learn more about area of rectangle from given link

https://brainly.com/question/2607596

#SPJ1

Could the points A(-2,1), B(4,7), and C(1,4) be three vertices of rectangle ABCD?
O No, since AB and BC are not perpendicular.
OYes, since a fourth point can always be determined to form a rectangle.
OYes, since AB and BC form a right angle.
O No, since AB and BC are not parallel.

Answers

Since, AB and BC are not perpendicular,

No, Points A(-2,1), B(4,7), and C(1,4) cannot be three vertices of rectangle ABCD.

The correct option is A.

What is rectangle?

A rectangle is a quadrilateral in which all the angles are equal and the opposite sides are equal and parallel.

A rectangle is a closed two-dimensional figure with four sides, all the angles of a rectangle are equal to 90°.

Given points

A(-2,1),

B(4,7), and

C(1,4)

For being vertices of rectangle

Angle between line segment AB and BC should be 90°.

Slope of line AB

m = (y - y')/(x-x')

m = (7 - 1)/(4 - -2)

m = 6/6

m = 1

Slope of line BC

m' = (y - y")/(x - x")

m' = (7 - 4)/(4-1)

m' = 3/3 = 1

Since slope of the two lines is same that is both are parallel, which is only possible when A, B, C are in a straight line.

Hence,  points A(-2,1), B(4,7), and C(1,4) cannot be three vertices of rectangle ABCD.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ1

Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? $0.99 each for a jar of paint. $0.95 each for a paintbrush

Answers

Answer:

Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87. Answer: Isabella buys 2 paintbrushes and 3 jars of paint.

Ryan deliver flower to two cotumer. He drive 12 minute at an average peed of 40 mile per hour to reach the firt cotumer. He drive for 15 minute at an average peed of 50 mile per hour to reach hi econd cutomer. During the 27 of driving time how many mile doe Ryan drive?

Answers

The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

Ryan delivers flowers to two customers and drives 12 minutes at an average speed of 40 miles per hour to reach the first customer and 15 minutes at an average speed of 50 miles per hour to reach the second customer.

To find the total distance that Ryan drives during the 27 minutes of driving time, we can use the formula: distance = speed x time

We know that Ryan drives 12 minutes at 40 miles per hour and 15 minutes at 50 miles per hour. So we can use the formula to find the distance for each part of the trip and then add them together:

distance = 40 miles/hour x (12 minutes / 60 minutes/hour) = 8 miles

distance = 50 miles/hour x (15 minutes / 60 minutes/hour) = 12.5 miles

The total distance Ryan drives during the 27 minutes of driving time is 8 miles + 12.5 miles = 20.5 miles

Therefore, The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

To learn more about distance and time,

Visit; brainly.com/question/18798899

#SPJ4

How do you find the length of a segment with the midpoint and endpoint?

Answers

To find the length of a line segment given the coordinates of the midpoint and one endpoint, you can use the distance formula. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of two points, and d is the distance between the points.

Given the midpoint (mx, my) and one endpoint (ex, ey) you can use the following steps to find the length of the segment:

Calculate the difference in the x-coordinates and square it: (ex - mx)^2Calculate the difference in the y-coordinates and square it: (ey - my)^2Add the two values from steps 1 and 2Take the square root of the result from step 3. This is the length of the line segment.

For example, if the midpoint of a segment is (5,7) and one endpoint is (7,10), the length of the segment is:

d = √((7-5)^2 + (10-7)^2)

d = √((2)^2 + (3)^2)

d = √(4+9)

d = √13

the length of the segment is √13 units.

Read more about the distance formula:

brainly.com/question/661229

#SPJ4

Place the numbers in order from least to greatest.

Answers

Okay so it should be B, D, E, C, A

In a certain city, each block is about 275
meters long. If the post office is 13 blocks
away from the library, approximately how
many miles is it from the post office to the
library? Round your answer to the nearest
tenth.

Answers

Using linear equations, it is 3570metre  from the post office to the

library

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Length of each block=275 meter

let's Create a linear equation from this i.e. 275x where x=number of blocks.

No. of blocks from  post office to the library = 13 (x=13)

so, distance of  post office to the library= 275*13

                                                                    =3575meter

                                                        ≈3570 meter (round to nearest 10th)

To know more about linear equations visit the link

https://brainly.com/question/29739212?referrer=searchResults

#SPJ1

What is y 3x 10 in function notation?

Answers

The equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10.

In this notation, x is the input variable, and f(x) is the output or dependent variable.

Function notation is used to express the relationship between two variables, where one variable is a function of the other. In this case, the equation y = 3x + 10 tells us that y is a function of x, with a slope of  3 and a y-intercept of 10.

So, in function notation, this equation can be written as:

f(x)=3x+10

In conclusion, the equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10. This notation expresses the relationship between the two variables x and y, where y is a function of x, represented by f(x) with a slope of 3 and a y-intercept of 10.

Learn more about function notation at

https://brainly.com/question/20755259

The complete question is:

What is y = 3x + 10 in function notation?

#SPJ4

Urgent help needed urgent urgent

Answers

The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.

what is function ?

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function.The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

A function creates an output from an input.

The name of the function, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, and the output, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, are all enclosed in parentheses.

x2 -4

(x2 - 2*2)

= (x+2)(x-2)

The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Alex has 2/4 quarts of chocolate milk left in a jug. In another jug he had 2 1/2 pints of chocolate milk . Can Alex pour the milk from both jugs into a third jug that has a capacity of 2 gallons.

Answers

Answer:

Yes, he can

Step-by-step explanation:

We have to find the total of Chocolate milk Alex has by taking

2 1/2 = 5/2

2/4 + 5/2 = 2/4 + 10/4 = 12/4 = 3 quarts of chocolate milk

1 gallon = 4 quart

And here, Alex only has 3 quarts of chocolate milk, so he can pour the milk from both jugs into a third jug.

A virus is spreading around Brookfield. At the moment, 685 people are infected. If the virus is
spreading at a rate of 13% each day, how many people in all will have caught the virus in 3
days?
If necessary, round your answer to the nearest whole number.

Answers

A virus spreading around Brookfield will infect 988 people in the next 3 days.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Number of people infected by the virus = 685

The rate at which the virus is infecting = 13%

The virus is spreading at 13% rate each day.

To deduce the number of people who will get infected in next 3 days.

The final equation will be -

= 685 × ( 1 + 13%)³

= 685 × (113/100)³

= 685 × (1.13)³

= 685 × 1.442

= 987.77 ≈ 988

Therefore, the number of people who will get infected is 988.

To learn more about equation from the given link

https://brainly.com/question/17145398

#SPJ1

What is the formula for a 45 degree triangle?

Answers

Using the formula of Pythagorean Theorem we can find a 45 degree triangle.

The degrees of the triangle's three inner angles give rise to its name, 45, 45, and 90. The triangle formed by the angles 45, 45, and 90 is said to be isosceles since two of the angles are less than the third.

Due to the fact that this triangle has one angle that is precisely 90 degrees, it is also regarded as a right triangle.

The following guidelines apply to the 45-45-90 triangle's characteristics:

1. There must always be a right angle in one angle.

2. The second pair of angles must always be 45-degree angles.

3. A triangle has two equal-length sides, but the third side is always longer.

Using the Pythagorean Theorem - Since a 45-45-90 triangle has a right angle, the length of its sides may be calculated using the Pythagorean Theorem.

Recall the formula for the Pythagorean Theorem:

a^2 + b^2 = c^2.

To learn more about Pythagorean Theorem link is here

brainly.com/question/14930619

#SPJ4

-8r-3(-6-5r)=8-5(4-2r) show work pleaseeeee

Answers

Answer:

[tex]r=-2[/tex]

Step-by-step explanation:

First, apply the distributive property: A(B + C) = AB + AC

[tex]-8r-3(-6-5r)=8-5(4-2r)[/tex]

[tex]-8r+18+15r=8-20+10r[/tex]

Then, get all of the r's on one side.

[tex]-8r+18+15r=8-20+10r[/tex]

↓ subtract 18 from both sides

[tex]-8r+15r=8-2+10r[/tex]

↓ subtract 10r from both sides

[tex]-8r+5r=8-2[/tex]

Finally, solve for r by combining like terms, then dividing by -3.

[tex]-3r = \ 6\\\overline{\, -3 \: } \ \ \ \ \overline{-3}[/tex]

[tex]r = -2[/tex]

The number of fish in a lake decreased by 53% between last year and this year last year there where 245 fish in the lake what is the population this year?

Answers

The number of fish remaining in the lake this year will be 115.

What does a population mean?

A population mean any group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.

Data

The decrement in number of fish = 53%.

Number of fish previous year = 245

Remaining number of fish  will be 47%.

The population of fish this year will be:

= 47% * 245 fish

= 115 fish.

Read more about population

brainly.com/question/25896797

#SPJ1

What is equality for Class 7?

Answers

In mathematics, equality refers to the relationship between two expressions or values, indicating that they are equivalent or have the same value.

For example, the equation "2 + 3 = 5" states that the left side of the equation (2 + 3) is equal to the right side of the equation (5). Equality can be represented using the symbol "=", which is called the equality sign or equal sign.

Equality can also be used in other mathematical concepts such as congruence, similarity, and equivalence. For example, two triangles are congruent if they have the same shape and size, two figures are similar if they have the same shape but different sizes, and two equations are equivalent if they have the same solutions.

Equality in mathematics is transitive, meaning that if a = b and b = c, then a = c, and reflexive, meaning that a = a for any value of a.

Learn more about equality here: https://brainly.com/question/12459660

#SPJ4

Mario and Russell plot a triangle on a coordinate grid and then perform a
rotation and a translation. Russell thinks the original triangle and final triangle
are congruent but Mario disagrees. Which student is correct and why?
Russell is correct. Since neither rotations no translations preserve distance, the
triangles are congruent.
O Mario is correct. Since neither rotations not translations preserve distance, the
triangles are not congruent.
Mario is correct. Since both rotations and translations preserve distance, the triangles
are congruent.

Russell is correct. Since both rotations and translations preserve distance, the
triangles are congruent.

Answers

Since two triangle are considered to be congruency if each of their 3 sides, and Mario is correct, the correct response is SSS.

How may a triangle's congruence be demonstrated?

If a triangle's size and shape are a perfect match, it is said to be congruent. The symbol is contained in the word "congruent". The three sides and three angles of two triangle are said to be congruent when their three sides and three angles coincide.

Here,

As illustrated below, start by writing the names of the triangles' vertices, starting with triangles DAB and BCD.

AB = CD

DA = BC

Side BD is the same in both triangles, therefore

BD = BD

The fact that the triangle DAB & BCD have the same number of angles on each side indicates that they are congruent and utilise the SSS property of a congruence triangle.

To know more about congruency visit:

brainly.com/question/7888063

#SPJ1

Find an expression to present the perimeter of the triangle below

Answers

i am sorry i don't know the answer

What is the area of the triangle?
2 m
4 m
3 m
square meters

Answers

first

Semi perimeter (S)=(2+4+3)/2

=9/2=4.5

now

area=

[tex] \sqrt{4.5(4.5 \times 2)(4.5 \times 4)(4.5 \times 3)} [/tex]

[tex] \sqrt{s( s- a)( s-b )( s- c)} [/tex]

which is equal to

99.20

Other Questions
A block of mass 8.50 g on the end of spring undergoes simple harmonic motion with a frequency of 3.50 Hz. a) What is the spring constant of the spring? b) If the motion of the mass has an initial amplitude of 8.00 cm what is its maximum speed? c) The amplitude decreases to 1.600 cm in 5.14 s, what is the damping constant for the system? use stokes' theorem to evaluate counterclockwise line integralf dr where f = yz, 2xz, exy and c is the circle x2 y2 = 25, z = 9, traversed counterclockwise when viewed from above. A client has just been admitted to the nursing unit following thyroidectomy. Which assessment is the priority for this client?1. hoarsness2. hypocalcemia3. audible stridor4. edema at the surgical site "fitb. Which of the following is a valid statement? When rows are added to a table, the column names can be omitted if the values are listed in the same order as the columns are listed in the table." levels of organization simple to most complex central nervous system white blood cells heart human epithelium a sound wave has a frequency of 3000hz what is the edistance btweeeen crests of the wavbe FILL IN THE BLANK. the quantities of money people are willing and able to hold at alternative interest rates, ceteris paribus is the ____ for money An amino acid that you would expect to find on the surface of a histone that interacts with dna in a nucleosome is called:_______ How the government of pakistan is working to shatter the glass ceiling effect Find the measure of An empty beaker was found to have a mass of 50. 49 grams. A hydrate of sodium carbonate was added to the beaker. When the beaker and hydrate was weighed again, the new mass was 62. 29 grams. The beaker and the hydrated compound were heated and cooled several times to remove all of the water. The beaker and the anhydrate were then weighed and its new mass was determined to be 59. 29 grams. as we move from one value of the independent variable to the next, we describe the relationship between it and a change in the category of the dependent variable as the : 1. Categorize each statement as true or false. Buffers are effective at resisting pH changes when large amounts of acid or base are added to a solution :: Chemical buffers are important to industrial production and to living systems. :: Chemical buffers have specific ranges and capacities. The buffer capacity is the pH range that is maintained when acids and bases are added to a solution True False 1 1 you implement in network.cpp methods / member functions network::adduser(string username) if a user with this name already exists, throw std: Draw a disulfide bridge between two cysteines in a polypeptide chain. Draw the side groups and the a-carbon for the cysteines. Use "Rl" to represent all other non-H atoms attached to the a-carbons. The R group tool is located in the charges and lone pairs drop-down menu .You do not have to consider stereochemistry. What is the mean annual income (inc1) of the participants?$43,282$72,133 $47,113$34,282 Suppose a heap is created by enqueuing elements in this order: 20, 18, 16, 14, 12. Then the order of the nodes in the underlying binary tree, from level 0 to level 2, left to right, is:20, 18, 16, 14, 12.12, 14, 16, 18, 20.20, 16, 18, 12, 14.18, 20, 12, 14, 16. the thematic mapper of the newer landsat satellites is a great improvement because it increases the spectral range within each spectral band used. true or false A 5m long aluminium wire (Y=710 10Nm 2) of diameter 3mm supports a 40kg mass. In order to have the same elongation in the copper wire (Y=1210 10Nm 2) of the same length under the same weight, the diameter should now be (in mm). The process of conversion of all aspects of a decision, effects and reasons, to financial math is the technique called: a Utilitarianism b Modified responsible Market Model c Cost/Benefit Analysis d Risk/Benefit Analysis