What is the answer for this question

What Is The Answer For This Question

Answers

Answer 1

The values for the net change and average change is given as-

7. Net change = 2 , Average change = 2/3.

8. Net change = -2, Average change = -1/2.

9. Net change = -4, Average change = 4/5.

10. Net change = 4, Average change = 2/3.

What is defined as the net change and the average change?

Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.

So, net change is estimated by f(b)−f(a).The ratio of the net change to a change between the 2 input values is equal to the average net change and average rate of change. Taking the same two points, the following formula can be used to calculate the average rate of change: [f(b)−f(a)]/(b - a)In other words, the average rate of change is the slope of the line connecting any two points.

Part 7:

The points on x axis are;

a = 1 and b = 4

f(b) = f(4) = 5

f(a) = f(1) = 3

Thus, net change is; f(b)−f(a)

= f(4) - f(1)

= 5 - 3

net change = 2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(4) - f(1)]/(4 - 1)

net change = 2/3.

Part 8:

The points on x axis are;

a = 1 and b = 5

f(b) = f(5) = 2

f(a) = f(1) = 4

Thus, net change is; f(b)−f(a)

= f(5) - f(1)

= 2 - 4

net change = -2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(1)]/(5 - 1)

net change = -2/4 = -1/2

Part 9:

The points on x axis are;

a = 0 and b = 5

f(b) = f(5) = 2

f(a) = f(0) = 6

Thus, net change is; f(b)−f(a)

= f(5) - f(0)

= 2 - 6

net change = -4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(0)]/(0 - 5)

net change = -4/-5 = 4/5

Part 10:

The points on x axis are;

a = -1 and b = 5

f(b) = f(5) = 4

f(a) = f(-1) = 0

Thus, net change is; f(b)−f(a)

= f(5) - f(-1)

= 4 - 0

net change = 4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(-1)]/(5 + 1)

net change = 4/6 = 2/3

To know more about the average change, here

https://brainly.com/question/8728504

#SPJ9


Related Questions

What is the pattern of these numbers 8, 7, 5, 2?

Answers

Answer: The pattern is that you -1 then -2 then -3.

Step-by-step explanation:

If you got 9, 8, 6, 3. You would be subtracting 1 then 2 then 3 then 4 then on and on.

Three friends go to a store to rent games and movies.
Calvin rents 3 movies and 2 video games and spends a
total of $25. Samantha rents 2 movies and 1 video game
and spends a total of $14.75.

Answers

Answer:

Let x = the cost of a movie

Let y = the cost of a game

Using these variables, we can set up equations.

3x + 5y = 42 eq1

9x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54

y = 6.75

This rental cost of one video game is $6.7

Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.

Step-by-step explanation:

pa brainly po

The cost of movie is $4.5 and cost of video game is $5.75.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of movie and y be the cost of video game

Calvin rents 3 movies and 2 video games and spends a total of $25.

3x+2y=25...(1)

Samantha rents 2 movies and 1 video game and spends a total of $14.75.

2x+y=14.75

y=14.75-2x..(2)

Substitute (2) in equation (1)

3x+2(14.75-2x)=25

3x+29.5 -4x=25

-x+29.5 = 25

Subtract 29.5 from both sides

-x=25-29.5

x=4.5

Now let us plug in x value in equation (2)

y=14.75-2(4.5)

y=5.75

Hence, the cost of movie is $4.5 and cost of video game is $5.75.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2


Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A.
B.
C.
D.
E.
4 is in the range of g.
For a value a, it is possible that g (a) = 4.
For a value y, it is possible that g (4) = y.
The point (4,7) is on the graph of y = g(x).
The point (7,4) is on the graph of y = g(x).

Answers

The answer is B for sure!

The profits shown in retained earrings can be used for_
A. Predicting future income.
B.re-investment into the company
C. Buying a house.
D. Investing into other companies.

Answers

The profit shows in retained earning can be used for reinvestment into the company

There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.

Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."

to know more about earnings;

visit;https://brainly.com/question/21219294

#SPJ9

Find x and y. Please

Answers

Answer:

x = 4       y = 21

Step-by-step explanation:

16x - 23 = 10x + 1

16x - 10x = 23 + 1

6x = 24

24/6 = x

x = 4

16(4) - 23 = 41

41 + (180 - 62) + y = 180

41 + 118 + y = 180

y = 21

Did Paul or pippa do it correctly

Answers

Triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC. (Translation: Pippa was right)

How to determine the scale factor to modify a right triangle

Herein we find a picture a graph with two proportional right triangles, which means that the small triangle is the consequence of a rigid transformation. The kind of rigid transformation used is a dilation around the origin, whose formula is shown below:

P'(x, y) = k · P(x, y)

Where k is the scale factor.

There is a dilation if and only if each point is scaled by the same factor. If we know that A(x, y) = (3, 9), A'(x, y) = (2, 6), B(x, y) = (9, 9), B'(x, y) = (6, 6), C(x, y) = (3, 3) and C'(x, y) = (2, 2), then the scale factor for each point is:

Point A

(2, 2) = k · (3, 3)

k = 2 / 3

Point B

(6, 6) = k · (9, 9)

k = 2 / 3

Point C

(2, 2) = k · (3, 3)

k = 2 / 3

Then, triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC.

To learn more on rigid transformations: https://brainly.com/question/1761538

#SPJ1

What is the converse of the following statement?


"If cows make milk, then chickens make eggs. "

Answers

Answer:

"If chickens make eggs, then cows make milk."

Step-by-step explanation:

Answer: A:  If chickens make eggs, then cows make milk.

Step-by-step explanation: Hope that helped

el ortocentro y varicentro de un triángulo equilátero son el mismo punto

Answers

Answer: The orthocenter and varicenter  of an equilateral triangle are the same point?

Step-by-step explanation

Answer: De nuevo, puedes ver que el baricentro, el ortocentro y el circuncentro son todos el mismo punto para un triángulo equilátero. Tenemos un centro más para comparar, el incentro. Como habrás sospechado, el incentro es el mismo punto que los otros tres para un triángulo equilátero.

Step-by-step explanation:

a) x³y²if x = 2 and y = 4

Answers

Answer:

128

Step-by-step explanation:

x³y²if x = 2 and y = 4

x³*y²

[tex](2)^{3} * (4)^{2}[/tex]

(2*2*2)*(4*4)

(8)*(16)

128

6. CalC1c02a 10 pts possible
Find the function g that is finally graphed
after the following transformations are ap-
plied in the order given to the graph of a
function f:
(1) reflect about the x-axis;
(2) shift down 2 units;
(3) stretch vertically by a factor 5;
(4) reflect about the y-axis.
1. g(x) = -10-5f(-x)
2. g(x) = 10-5f(x)
x 3. g(x) = 10 +5f(-x)
× 4. g(x) =
10 - 2ƒ(−x)
5. g(x) = 5f(x) - 10

help!!

Answers

The function g that is finally graphed after the transformations are applied is g(x) = -5f(-x) - 10

How to find the function g that is finally graphed after the following transformations are applied?

The function is given as:

f(x)

Next, we apply the transformations

So, we have:

(1) reflect about the x-axis;

This is represented as

(x, y) = (x, -y)

So, we have

g(x) = -f(x)

(2) shift down 2 units;

This is represented as

(x, y) = (x, y - 2)

So, we have

g(x) = -f(x) - 2

(3) stretch vertically by a factor 5;

This is represented as

(x, y) = (x, 5y)

So, we have

g(x) = 5(-f(x) - 2)

Evaluate

g(x) = -5f(x) - 10

(4) reflect about the y-axis.

This is represented as

(x, y) = (-x, y)

So, we have

g(x) = -5f(-x) - 10

Hence, the function g that is finally graphed after the following transformations are applied is g(x) = -5f(-x) - 10

Read more about transformations at

https://brainly.com/question/4289712

#SPJ1

2×3÷2+1+2×33 what's the answer​

Answers

Answer: 70

Step-by-step explanation:

2×3÷2+1+2×33

PEMDAS, do all the multiplication first.

2×3 = 6, 2×33=66

Do division next.

6÷2=3

3+1+66=70

The expression

³√x²y³ = x²y³
where x and y are non-negative real numbers.
r, the exponent of X, is:
s, the exponent of y, is:

Answers

Using exponent power property, ³√x²y³ = x^r y^s, where x and y are non-negative real numbers.

r, the exponent of x, is: 2/3

s, the exponent of y, is: 1

What is Exponent power property?

According to the Power of a Power Property, you can multiply the exponents if one exponent is increased to a higher exponent. This characteristic may be used to resolve the equation (3 x 2) 3.

³√x²y³ = x^r y^s

Cubing on both sides,

x²y³ = x^3r y^3s

As base is same, equating the powers

⇒ 2 = 3r; r = 2/3

⇒ 3 = 3s; s = 1

The correct question is -

The expression

³√x²y³ = x^ry^s

where x and y are non-negative real numbers.

r, the exponent of X, is:

s, the exponent of y, is:

To learn more about exponent power property from given link

https://brainly.com/question/3187898

#SPJ9

AD = 6x - 4 and AC = 4x - 3

Answers

Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

1.00 *10³ + 4.235 *10*

Answers

either 1042.35 or 1.04235*10^3

Kent has a collection of pennies and nickels with a value of $1.98. thenumber of pennies he has is five less than twice of nicleks. how many of each coin does kent have?

Answers

No. of pennies and nickels are 53 and 29 respectively

Let the number of pennies be x

Let the number of nickels be y

Value of pennies = $0.01x

Value of nickels = $0.05y

It is given that value of pennies and nickels = $1.98

Therefore the equation will be,

0.01x + 0.05y = 1.98

x + 5y = 198------(1)

Also, the number of pennies is five less than twice of nickels

x = 2y - 5

2y - x = 5 -------(2)

Adding equations (1) and (2) we get,

(x + 5y) + (2y - x) = 203

7y = 203

y = 29

Substituting the value of y in equation (1) we get,

x = 53

Therefore, the no. of pennies is 53 and the no. of nickels is 29

Learn more about linear equations:

https://brainly.com/question/4342736

#SPJ4

question is attached to image
question 9a

pls help

Answers

Answer:

(x-2y){5-(x-2y)}

=(x-2y)(5-x+2y)

Simplify the expression.
12e +6-2e + 5

Answers

Answer:

10e + 11

Step-by-step explanation:

12e + 6 - 2e + 5 ← collect like terms

= (12e - 2e) + (6 + 5)

= 10e + 11

This question is a combining line terms question. Let’s solve through steps:

1. Rewrite

12e + 6 - 2e + 5

2. Combine like terms

12e - 2e = 10e
6 + 5 = 11

Our final equation is 10e + 11.

Final answer: 10e + 11

∠A and angle B∠B are complementary angles. If m angle A=(x+13)m∠A=(x+13)
and m angle B=(7x+13)^∠B=(7x+13) then find the measure of angle B∠B

Answers

The value of angle B is 69°.

How to calculate the angle?

It should be noted that the sum of a complementary angle is 90°.

Therefore, the value will be:

x + 13 + 7x + 13 = 90

8x + 26 = 90

Collect like terms

6

8x = 90 - 26

8x = 64

Divide

x = 64/8

x = 8

Angle B = 7x + 13

= 7(8) + 13

= 56 + 13

= 69

Angle B is 69°.

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

Is it possible to have a function f defined on [ 4 , 5 ] and meets the given conditions? f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.

Answers

No, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

Here,

A function f defined on [ 4 , 5 ].

We have to find, is it possible to f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.

What is Intermediate value theorem?

Intermediate value theorem states that if “f” be a continuous function over a closed interval [a, b] with its domain having values f(a) and f(b) at the endpoints of the interval, then the function takes any value between the values f(a) and f(b) at a point inside the interval.

Now,

A function f defined on [ 4 , 5 ].

Assume that the function,

f :  [ 4 , 5 ] → Z is a non constant continuous function.

Then, f(4) and f(5) both are integers and not equal to each other.

By, Intermediate value theorem;

Function f takes all real numbers between f(4) and f(5) at least once.

These would contain all non integers rational and irrational number between f(4) and f(5), contradicting the assumption that function takes only integer values.

Hence, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

Learn more about the intermediate theorem visit:

https://brainly.com/question/11195842

#SPJ4

A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour

Answers

Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.

As given,

Total distance= 30 kilometers

Total time taken = 8 minutes

1 kilometer = 0.62137 miles

30 kilometers = 30 × 0.62137

                     = 18.641 miles

8 minutes = ( 8 / 60) hour

Average speed= total distance / total time taken

                                          = 18.641 / (8/60)

                                          = 139.8 miles/ hour

Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.

Learn more about average speed here

brainly.com/question/12322912

#SPJ4

Fritz can build a bookcase in 8 hours and Holly can build the same bookcase in 10 hours. After working together for 3 hours, Fritz leaves how long will it take holly to finish the bookcase by herself?

Answers

Holy will take 13/5 or 2.6 hours to finish the bookcase.

What is relation between time and work?

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

To learn more about work and time:

brainly.com/question/24253661

#SPJ4

A board is 17 5/8 in. long. If it must be divided into seven pieces of equal​ length, how long must each piece​ be?

Answers

each piece must be 2.51785714 inches long or just 2.5 if your answer can be rounded to the nearest tenth

Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (enter your answers as a comma-separated list.) the set of odd natural numbers less than 8

Answers

{ 0,2,4,6,8} is  the complement of the set.

What is natural number in math?

Normative Numbers The numbers we use to count or place things in order are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. Complete numbers the range of numbers that includes zero and natural numbers.

Is zero a natural number?

0 is not a natural number, so no. As we all know, natural numbers are positive integers with a range of 1 to infinity. However, we get a number when we combine 0 with a positive integer like 10, 20, or another number.

u = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Odd number less than 8  = { 1,3,5,7 }

complement =  {0, 1, 2, 3, 4, 5, 6, 7, 8} -  { 1,3,5,7 }

                     = { 0,2,4,6,8}

Learn more about natural number

brainly.com/question/17429689

#SPJ4

Show ([tex]\frac{\sqrt{11} }{6} ,[/tex][tex]\frac{5}{6}[/tex]) is or is not on the unit circle. State the unit circle definitions and definitions in terms of other trig functions.

Answers

By using coordinates in rectangular form and Pythagorean theorem, we conclude that the point (x, y) = (√11 / 6, 5 / 6) is on the unit circle as its norm is equal to 1.

Is a given point on Cartesian plane lying on the unit circle?

We find a point in rectangular form, that is, a point of the form (x, y). Unit circles are circles with a radius 1 that are commonly used to represent graphically angles. The given point is in the units if and only if its norm is equal to 1. The norm of the point is determined by using the Pythagorean theorem:

r = √[(√11 / 6)² + (5 / 6)²]

r = √[(11 / 36) + (25 / 36)]

r = √(36 / 36)

r = √1

r = 1

By using coordinates in rectangular form and Pythagorean theorem, we conclude that the point (x, y) = (√11 / 6, 5 / 6) is on the unit circle as its norm is equal to 1.

To learn more on unit circles: https://brainly.com/question/12100731

#SPJ1

Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:

Answers

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

Know more about sophomore here:

https://brainly.com/question/23382435

#SPJ4

The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

7 gifts are to be distributed among 10 children. how many distinct results are possible if no child is to receive more than 1 gift?

Answers

This is the number of combinations of 7 in 10 which is the same as number of combinations of 3 in 10:
10C3 = 10*9*8 / 3*2*1

= 120

Randalstown Rugby Club play 20 matches and win 17 of the matches.
What percentage of the matches did Randalstown win?

Answers

Answer:

85%

Step-by-step explanation:

Total no. of matches played,

→ x = 20 matches

No. of matches they won,

→ y = 17 matches

Now the win percentage will be,

→ (y/x) × 100

→ (17/20) × 100

→ 0.85 × 100

→ 85%

Hence, the percentage is 85%.

Write the equation of the line passing through the points (−3,9) and (−9,3).
Question content area bottom
Part 1
The equation of the line is enter your response here.

Answers

The equation of the line is y=x+12.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The points are

(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

We have to Write the equation of the line.

According to given question we have,

Equation of line passing through the point (-3,9) and  (-9,3).

Slope of the line=

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]

⇒y−9=1(x+3)

⇒y-9=x+3

Add 9 on both sides we get,

y=x+12

∴ y=x+12 which is in the form y=mx +c is the required equation.

Therefore, the equation of the line is y=x+12.

Learn more details about line here:

https://brainly.com/question/2696693

#SPJ1

y = x + 12

What is equation of a line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

y-y₁=m(x-x₁)

mm₁=-1

Points (-3,9) and  (−9,3).

Slope of the line m = (y₂ - y₁)/(x₂ - x₁)

m = (3-9)/(-9+3)

m = 1

Now  equation of line passing through two points

(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)

(y - 9)/(3-9) = 1*(x - 3)/(-9+3)

y - 9 = x + 3

y = x + 12

Therefore, the equation of line is y = x + 12

Read more about equation of line at:

https://brainly.com/question/21511618

#SPJ1

Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

Answers

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

Learn more about the weighted average visit:

https://brainly.com/question/18554478

#SPJ4

What is 9+2 plus
For it

Answers

Answer:

11

Step-by-step explanation:

9 + 2 = 11

Best explanation I can give for this.

Answer: 11

Step-by-step explanation: bc i used a calculater

Other Questions
In order to compete successfully, most firms today have to provide their customers with better than their competitors The job description for a __________ is "responsible for analyzing business requirements and selecting information systems that meet those needs." Being able to manage interactions successfully by using your knowledge of your emotions and the emotions of others is known as:_________ Sujet: Votre maman vous a charge de lui acheter des legumes et des fruits mais vous avez perdu largent de commission President jackson removed enemies and gave supporters political jobs under the _______. #15: mNST = ____need answer The use of dark silhouettes against a cream-colored background typifies the decoration of _____ ceramic pots a line with a slope equal to -2/3 passes through (-1, -4) and (3,y) whats the value of y Which triacylglycerol yields more energy on oxidation: one containing three residues of linolenic acid or three residues of stearic acid? Match each pair of inverse operations.1. cubing subtraction 2. multiplication division 3. squaring taking the square root 4. addition taking the cube root Exercise 1 Fill in the blank with the correct personal pronoun. Underline the antecedent for each pronoun. Each businessman gave _____________ report at the board meeting. 19. 9a2b = c + 4a, for a Factor the expressions: A protagonist and an antagonistA. Defend one another B.do not affect one anotherC. Are in conflict with one anotherD.are on the same side A dehumidifier tank is emptied once a day. If the capacity of the tank is 2 gallons, determine how many molecules of water the dehumidifier collects from the air per millisecond. (1 quart = 0.94633 liters; 4 quarts = 1 gallon; density of water is 1g/mL; 18 g water = 6.02x10^23 molecules of water) I'm terrible with Dimensional Analysis! During a mugging, a person experiences an extreme level of fear. what portion of the limbic system is responsible for this and other emotional states? A low purge pressure alarm, caused by a purge pressure less than 300 mmhg and a purge flow rate of 30 ml/hr may be due to? There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange. half of the guests will go in costumes that are neither black nor orange. how many children will wear both orange and black ways to show 2 times 43 times 19 What dipeptides would be formed by heating a mixture of valine and n -protected leucine?