Is it undefined? I'm not sure.​

Is It Undefined? I'm Not Sure.

Answers

Answer 1

Answer:

no

Step-by-step explanation:

the line has a value which is y=7

Answer 2

Answer: Zero slope

Step-by-step explanation: A common mistake made by many students is to confuse what no slope is and what zero slope.

If a line has a slope of zero, it means that the line is flat or horizontal.

No slope is a vertical line or straight up and down. No slope means that we cannot describe its slope using a number because its line is vertical and it's slope is undefined. This has to do with dividing a number by 0. When you do this, you should get an error message or it should say undefined.

So, this line would have zero slope because it's flat.


Related Questions

Subtract.
6x^2 -5x + 3
- (3x² + 8x-4)
O A. 3x² – 3x+7
O B. 3x² + 134-1
O c. 3x² + 3x - 1
OD. 3x2 - 13x+7​

Answers

Answer:

6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 7

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Expanding/Factoring

Step-by-step explanation:

Step 1: Define

Identify given.

6x² - 5x + 3 - (3x² + 8x - 4)

Step 2: Simplify

[Distributive Property] Distribute negative:
6x² - 5x + 3 - (3x² + 8x - 4) = 6x² - 5x + 3 - 3x² - 8x + 4Combine like terms (x²):
6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 5x + 3 - 8x + 4Combine like terms (x):
6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 3 + 4Combine like terms (constants):
6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 7

∴ we have subtracted the two trionomials!

---

Topic: Algebra I

Answer:

3x²-13×+7

Step-by-step explanation:

hope this helps -olive

If 2y + 6 = 1 −3y, then y = −−−−−−

Answers

Answer:

y = -1

Step-by-step explanation:

Add 3y to both sides:

2y + 3y + 6 = 1 - 3y + 3y

Simplify:

5y + 6 = 1

Subtract 6 from both sides to isolate the y value:

5y + 6 - 6 = 1 - 6

Simplify:

5y = -5

Divide by 5 on both sides to solve:

5y/5 = -5/5

Simplify:

y = -1

T=42-0.7t how fast did the temperature drop?

Answers

Final answer:

The given equation describes a linear relationship between temperature and time. The slope, -0.7, indicates that the temperature is dropping at a rate of 0.7 degrees per unit of time.

Explanation:

The equation given, T=42-0.7t, is in the form of a linear equation, y=mx+b, where T is the temperature in degrees Celsius, t is the time, 42 represents an initial temperature, and -0.7 is the slope representing the rate of temperature change over time.

In this equation, the slope, -0.7, tells us that the temperature is decreasing or dropping at a rate of 0.7 degrees per unit of time. This could be per minute, per hour, etc., depending on the context given.

Note that because the '-0.7' is negative, we know that the temperature is decreasing, or dropping, rather than increasing. If it were positive, it would mean the temperature is rising. Thus, when you're asked how fast the temperature is dropping, the answer based on this equation is that it's dropping at a rate of 0.7 degrees per unit of time.

Learn more about Rate of Temperature Change here:

https://brainly.com/question/11482539

#SPJ12

The temperature drops at a rate of 0.7 degrees per time unit, as indicated by the coefficient of t in the equation T = 42 - 0.7t.

The equation given, T = 42 - 0.7t, suggests a relationship between temperature (T) and time (t), where the temperature drops over time due to some cooling process, such as a cold front arriving. To determine how fast the temperature is dropping, we look at the coefficient of t in the equation, which is -0.7. This means that for every unit of time that passes, the temperature drops by 0.7 units. Thus, the rate of temperature drop is 0.7 degrees per time unit, assuming the temperature is measured in degrees and time in matching time units (likely minutes or seconds).


f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, ∞) and g(x) = 2x2 + 8x + 6, compare f(x) and g(x). Select the statement that is not correct?

A) Both functions have the same vertex.

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Answers

Answer:

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Step-by-step explanation:

step 1

Find the vertex of f(x)

we know that

The x-coordinate of the vertex is the midpoint of the roots

we have

x=-1 and x=-3

so

the midpoint is

(-1-3)/2=-2

The y-coordinate of the vertex is -4 (because the range is [−4, ∞))

therefore

The vertex of f(x) is the point (-2,-4)

Is a vertical parabola open upward

The vertex is a minimum

The domain is all real numbers

step 2

we have

[tex]g(x)=2x^2+8x+6[/tex]

Find the vertex

Factor the leading coefficient

[tex]g(x)=2(x^2+4x)+6[/tex]

Complete the square

[tex]g(x)=2(x^2+4x+4)+6-8[/tex]

[tex]g(x)=2(x^2+4x+4)-2[/tex]

Rewrite as perfect squares

[tex]g(x)=2(x+2)^2-2[/tex]

Is a vertical parabola open upward

The vertex is the point (-2,-2)

The domain is all real numbers

The range is the interval [−2, ∞)

Find the x-intercepts

For g(x)=0

[tex]0=2(x+2)^2-2[/tex]

[tex]2(x+2)^2=2[/tex]

[tex](x+2)^2=1\\x+2=\pm1\\x=-2\pm1[/tex]

so

The roots or x-intercepts are

x=-1 and x=-3

Verify each statement

A) Both functions have the same vertex

The statement is false

The vertex of f(x) is (-2,-4) and the vertex of g(x) is (-2,-2)

B) Both functions have the same domain.

The statement is true

The domain is all real numbers

C) Both functions have the same x-intercepts

The statement is true  (see the explanation)

D) Both functions are decreasing on the interval (−∞, −2)

The statement is true

Because the x-coordinate of the vertex is the same in both functions, and both functions open upward

Answer:

The answer is A

Step-by-step explanation:

To the nearest minute, how long will it take to mow the lawn if 3000yd^2 can be mowed per hour? show your work.

Answers

Answer:

[tex]In\ 1\ minute\ lawn\ can\ be\ mowed=50\ yd^2[/tex]

Step-by-step explanation:

[tex]Given,\\\\In\ 1\ hour\ lawn\ can\ be\ mowed= 3000\ yd^2\\\\we\ know\ that\\\\1\ Hour=60\ minutes\\\\In\ 60\ minutes\ lawn\ can\ be\ mowed=3000\ yd^2\\\\In\ 1\ minute\ lawn\ can\ be\ mowed=\frac{3000}{60}\ yd^2\\\\In\ 1\ minute\ lawn\ can\ be\ moved=50\ yd^2[/tex]

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle F? Enter your answer in the box. ​ m∠F= ​ ° An irregular hexagon labeled ABCDEF with angle A parenthesis x minus sixty parenthesis degrees, angle B parenthesis X minus forty parenthesis degrees, angle C one hundred thirty degrees, D one hundred twenty degrees, E one hundred ten degrees, F parenthesis x minus twenty parenthesis degrees

Answers

Answer: [tex]m\angle F=140\°[/tex]

Step-by-step explanation:

The missing figure is attached.

You know that the sum of the interior angles of an hexagon is 720 degrees.

Based on that and given the figure attached, you can set up the following equation:

[tex](x-60)+(x-40)+130+120+110+(x-20)=720[/tex]

The next step is to solve for "x" in order to find its value. This is:

[tex]x-60+x-40+130+120+110+x-20=720\\\\3x=720-240\\\\3x=480\\\\x=\frac{480}{3}\\\\x=160[/tex]

Now you must substitute the valUe of "x" calculated above, into [tex]m\angle F=(x-20)\°[/tex]:

[tex]m\angle F=(160-20)\°[/tex]

Finally, evaluating, you get that the measure of the angle F is:

[tex]m\angle F=140\°[/tex]

Answer:

114 is the real correct answer

Step-by-step explanation:

May God Bless

Which quadratic function is represented by the graph?
Of(x) = 0.5(x + 3)(x - 1)
f(x) = 0.5(x - 3)(x + 1)
f(x) = 2(x + 3)(x - 1)
f(x) = 2(x - 3)(x + 1)

Answers

The correct quadratic function represented by the graph is [tex]\(f(x) = 0.5(x + 1)^2 - 2\)[/tex], and doesn't match with any of the options provided.

To find the quadratic function represented by the given graph, we first identify the vertex and then use it to determine the coefficient [tex]\(a\)[/tex] in the quadratic function.

1. Vertex Calculation:

  - The x-coordinate of the vertex, [tex]\(h\)[/tex], is the average of the x-intercepts: [tex]\(h = \frac{1 + (-3)}{2} = -1\).[/tex]

  - Since the focus lies 2 units below the vertex, [tex]\(k = -2\).[/tex]

2. Vertex Form of the Quadratic Function:

  The vertex form is [tex]\(f(x) = a(x - h)^2 + k\)[/tex], where [tex]\((h, k)\)[/tex] is the vertex.

  Substituting [tex]\(h = -1\) and \(k = -2\)[/tex], we get [tex]\(f(x) = a(x + 1)^2 - 2\).[/tex]

3. Determine [tex]\(a\):[/tex]

  Using the x-intercept (1, 0):

  [tex]\[0 = a(1 + 1)^2 - 2\][/tex]

  [tex]\[0 = 4a - 2\][/tex]

  [tex]\[4a = 2\][/tex]

  [tex]\[a = \frac{1}{2}\][/tex]

4. Quadratic Function:

  Substitute [tex]\(a = \frac{1}{2}\)[/tex] into the vertex form:

  [tex]\[f(x) = \frac{1}{2}(x + 1)^2 - 2\][/tex]

Therefore, the correct quadratic function represented by the graph is [tex]\(f(x) = 0.5(x + 1)^2 - 2\).[/tex]

The question probable maybe:

Which quadratic function is represented by the graph?

f(x) = 0.5(x + 3)(x - 1)

f(x) = 0.5(x - 3)(x + 1)

f(x) = 2(x + 3)(x - 1)

f(x) = 2(x - 3)(x + 1)

(Given in the attachment)

Select all that apply.

What did scribes in medieval Europe do?

became nomadic preachers
copied books and other religious material
kept records and wrote about current events
preserved learning and libraries
developed a way to treat eyestrain

Answers

Final answer:

Scribes in medieval Europe had several important roles:

including copying books and religious material, keeping records and writing about current events,preserving learning and libraries.

Explanation:

Scribes in medieval Europe had several important roles:

They copied books and other religious material: Scribes were responsible for hand-copying books, particularly ones related to Christian theology, such as the Bible. They also copied classical Greek or Roman writings that would have otherwise been lost. These hand-copied books, known as illuminated manuscripts, were often beautifully illustrated.They kept records and wrote about current events: Scribes also played a crucial role in keeping records and documenting current events. They wrote about important historical and political events, as well as religious and civil information.They preserved learning and libraries: Monasteries, where many scribes worked, became major centers of learning in medieval Europe. Scribes helped preserve knowledge from the ancient world by copying and preserving books. They also contributed to the development of libraries.

which inequality is equivalent to -m>_15

Answers

Answer:

m<=-15

Step-by-step explanation:

PLS HELP ASAP

Determine if the side lengths 9, 9, and 17 form a triangle. If it is a triangle, classify it by its sides.
It's not a triangle.
scalene triangle
isosceles triangle
equilateral triangle

Answers

Answer:

To find that a triangle can be made from these measurements you should know that the sum of two of its sides should be greater than the third side.

lets see if this rule applies...

9+9 = 18 ( greater that 17 ; its third side)

17 + 9 = 26 (greater than 9 ; its third side)

therefore, a triangle can be formed

as two of its sides are equal , it is an isosceles triangle

Answer:

isosceles triangle

Step-by-step explanation:

two of its sides are equal

The expression 3(x-9) is equivalent to
O 3(x)+9.
O 3(x)+3(9).
3(%) – 9.
O 3(x) - 3(9)

Answers

Answer:

D)

Step-by-step explanation:

3(x-9)=3x-27

Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes 1/2 teaspoon of red pepper flakes to 2 cups of tomato mix.

Represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups, in two different ways (table, graph, or equation)explain the variables

Answers

Answer:

[tex]y = \frac{1}{4}x[/tex]

x  y

4  1

8  2

12  3

16  4

Step-by-step explanation:

Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes [tex]\frac{1}{2}[/tex] teaspoon of red pepper flakes to 2 cups of tomato mix.

So, the amount of tomato mix in cups is the independent variable represented by x and the amount of red pepper flakes in teaspoon is the dependent variable represented by y and the relation between them is given by y = kx, as the relation is proportional.

Now, putting x = 2 and y = [tex]\frac{1}{2}[/tex], we get

[tex]\frac{1}{2} = 2k[/tex]

⇒ k = [tex]\frac{1}{4}[/tex]

Therefore, the equation is [tex]y = \frac{1}{4}x[/tex] (Answer)

Now, in table the relation will be given by

x  y

4  1

8  2

12  3

16  4 (Answer)

The relationship between red pepper flakes and tomato mix can be represented by a table showing different quantities matching the ratio, and by an equation, p = (1/4) * t, which expresses the amount of red pepper flakes (p) needed for any given amount of tomato mix (t).

To represent the relationship between red pepper flakes and tomato mix which Angie uses to make her spicy salsa, we will use a table and an equation.

Table Representation:

Red Pepper Flakes (teaspoons)Tomato Mix (cups)1/22141 1/2628

In the table, the amount of red pepper flakes increases proportionally with the amount of tomato mix. This proportional relationship can also be represented numerically.

Equation Representation:

Let's define p as the amount of red pepper flakes in teaspoons and t as the amount of tomato mix in cups. The ratio given is 1/2 teaspoon of red pepper flakes to 2 cups of tomato mix, which simplifies to 1/4 teaspoon per cup. Thus, the equation is:

p = (1/4) * t

This equation states that for every cup of tomato mix, you use 1/4 teaspoon of red pepper flakes. Therefore, if Angie has t cups of tomato mix, she will need p = (1/4) * t teaspoons of red pepper flakes.

Kendra is three times her daughter's age plus seven years Kendra is 49 years old write an equation to find her daughter's age

Answers

Answer: [tex]49 = 3x + 7[/tex]

Step-by-step explanation:

Let the daughter's age be x and Kendra's age be y , then from the first statement;

[tex]y = 3x + 7[/tex]

Since Kendra's age is 49 , substitute it into the equation , we have

[tex]49 = 3x + 7[/tex]

subtract t from both sides

[tex]49 - 7 = 3x[/tex]

[tex]42 = 3x[/tex]

divide through by 3

[tex]x = 14[/tex]

Therefore : the daughter's age is 14

Answer:

3x+7=49

Step-by-step explanation:

start time 1:20 pm end time 2:00pm elapsed time​

Answers

Answer:

40 minutes

Step-by-step explanation:

Elapsed time = end time - start time

Elapsed time = 2:00 - 1: 20

Elapsed time = 40 minutes

Five percent is the same as 1:20?

Answers

No, The answer is 120%     and 0.5% = 0.05

Hope this helped!

BTW can I have brainliest

Proportions 18/4=x/10

Answers

Answer:

x=45

Step-by-step explanation:

18/4 = x/10

[tex]\frac{18}{4}[/tex] = [tex]\frac{x}{10}[/tex]

use cross-multiplication

10*18=180

180/4=45

x=45

Ben works in a sandwich shop. On average, he makes 3 sandwiches every 10 minutes. If Ben works 6 hours how many sandwiches will he make?

Answers

Answer: 108

Step-by-step explanation:

18 sandwiches are mad every hour then multiply it by 6 .

If 8 = −3r +7r, then r =_____

Answers

Answer:

r = 2

Step-by-step explanation:

Given

8 = - 3r + 7r ← combine terms

8 = 4r ( divide both sides by 4 )

2 = r

Answer:

r=2

Step-by-step explanation:

8 = −3r +7r

Step 1: Combine like-terms (-3r + 7r = 4r)

8=4r

Step 2: Divide both sides by 4 to isolate the variable

(8 divided by 4 = 2)

(4r divided by 4 = r)

2=r

Jaidyn has read 135of the 180 pgs in the book. What is the percentage of the the book he has read​

Answers

Answer:

40%

Step-by-step explanation:

180 - 135 = 45

so, 40%

Answer:

25%

Step-by-step explanation:

135/180= .75

because of 100% - 75% = 25%

3x^+7x-6 factor completely

Answers

The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).

Step-by-step explanation:

To find the factors of the equation,

1) Multiply the coefficient of the [tex]x^2[/tex] and the constant value.

⇒3×(-6)= -18.

2) Now find two numbers that can result is in -18 while multiplying and 7 (middle term or coefficient of x) while adding.

⇒9 × (-2) = -18.

9+(-2)= 7.

Now spit the equation as[tex]3x^2+9x-2x-6[/tex].

=[tex](3x^2+9x)-(2x-6)[/tex].

=3x(x+3) - 2(x+3).

=(x+3)(3x-2).  (by taking out the common term x+3)

The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).

GIVING BRAINLIEST Consider these proportions: 3:7.5 4:10 5:12.5 6:15 Which of the following proportions belongs to the above set? A 1:2.5 B 2:4.5 C 7:12.5 D 8:20 a. A and B c. C and D b. B and C d. D and A

Answers

Answer:

3:7.5 = 1:2.5 = 2:5

4:10 = 2:5

5:12.5 = 10:25 = 2:5

6:15 = 2:5

A and D belong to this set:

A: 1:2.5 = 2:5

D: 8:20 = 2:5

a food truck sells salad for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads ans drinks in one day was $836.50. How many salads were sold that day?

Answers

Answer:

93

Step-by-step explanation:

s= salads  d= drinks

$6.5s + $2d = $836.5

s + d =209

s = 209-d

6.5 (209-d) + 2d = 836.5

1358.5 - 6.5d + 2d = 836.5

-4.5d = -522

d = 116

s = 209 - 116 = 93

Altogether Central High School's bands have 40 trumpets and 35 tubas. Carlee says the ratio of trumpets to tubas is 40:35. Danny disagrees and says the ratio is 8:7.
Actually, they are both correct. Explain why these are equivalent ratios.

Answers

Answer:

Explanation is given below.

Step-by-step explanation:

Given:

Number of Trumpets = 40

Number of tubas = 35

Carlee says, the ratio of trumpets to tubas = 40 : 35

Danny says,  the ratio of trumpets to tubas = 8 : 7

To explain why the two ratios are equivalent.

Solution:

Equivalent ratios are all ratios which are equal to each other in their reduced to simplest form.

The ratio of trumpets to tubas can be given as = [tex]\frac{40}{35}[/tex]

To reduce the ratio to its simplest form, we divide both numbers by their G.C.F.

The G.C.F. for 40 and 35 is 5.

So, we divide numerator and denominator by 5.

⇒ [tex]\frac{40\div5}{35\div 5}[/tex]

⇒ [tex]\frac{8}{7}[/tex]

Thus, the simplest ratio of trumpets to tubas can be given as = 8:7

This is why both Danny and Carlee are correct with the ratios of trumpets to tubas.

Carlee gave the direct ratio, while Danny gave the simplest ratio.

Please Help !
TRYING TO MAKE HONOR ROLL

Which point represents the solution to the system of equations below ?

Answers

Answer:

I think its c. but i could be wrong

In a class room of 30 students, 18 are female and 12 are male. If you randomly select one person, what is the probability you will select a female

Answers

There is a 60% chance that a female will be chosen .





18/30 = 0.60 .

You invested into a content management company that specializes in peer to peer networks four years ago with a stock value
of $56.30 a share. Today, a single share of the company is worth $32.21. Given this information, determine the decay factor
for the four year period and round your answer to the hundredth place.
a 57.0
C. 570
b. 0.57
d. 1.57

Answers

Answer:

0.57

Step-by-step explanation:

56.30 divided by 1.57=32.21

Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...

Answers

The 20th term is -106

15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60

-60 + -46

-106

You're just subtracting by 6.

Answer:

-99

Step-by-step explanation:

you subtract by 6 every number.....

-3-6=-9

-9-6=-15

so on and so on until you get to the 20th term.....

sixteen and two-tenth subtracted from two times a number

Answers

The required number is 18.

Step-by-step explanation:

Let the required number = x

To find, the required number = ?

According to question,

∴ 2x - 16 - 2 × 10 = 0

⇒ 2x - 16 - 20 = 0

⇒ 2x - 36 = 0

⇒ 2x = 36

⇒ x = 18

∴  The required number = 18

Thus, the required number is 18.

Answer: x=18

Explanation:

Find two consecutive even integers such that the sun of the larger and twice the smaller is 62.

Answers

Answer:

20 and 22.

Step-by-step explanation:

Let the consecutive integers be a and b

Then b = a + 2

a is the smaller integer.

[tex]\begin{array}{rcl}2a + b & = & 62\\2a + a + 2& = & 62\\3a + 2 & = & 62\\3a & = & 60\\a & = & \dfrac{60}{3}\\\\& = & \mathbf{20}\\\end{array}[/tex]

a               = 20

b = 20 + 2 = 22

The two integers, in ascending order, are 20 and 22.

Check:

2(20) + 22 = 62

    40 + 22 = 62

             62 = 62

OK.

The graph for the equation y=-2x+1 is shown below. If another equation is graphed so that the system has no solution, which equation could that be

Answers

y=-2x+3 (could be any y-int as long as it has the same slope)

This line is parallel to the original line so they never intersect

Therefore the answer is no solution

Answer:

B. y = -1/2 (4x + 2)

Step-by-step explanation:

your welcome :) and sorry that I'm a bit late

Other Questions
A ball is thrown vertically upwards from the edge of the cliff and hits the ground at the base of the cliff with a speed of 30 m/s four seconds later. How high was the cliff? Paula's Perfumes has a target profit of $4,000 per month. Perfume sells for $15.00 per bottle and variable costs are $13.50 per bottle. Fixed costs are $3,200 per month. The number of bottles that must be sold each month to earn the target profit is:______. Which of the following solutes has the greatest effect on the colligative properties for a given mass of pure water? Explain. a. 0.01 mol of CaCl2 (an electrolyte) b. 0.01 mol of KNO3 (an electrolyte) c. 0.01 mol of CO(NH2)2 (a nonelectrolyte) All but 6 students in the club went on the field trip. Write an expression for the number of students on the field trip.Do I add, subtract, or multiply? J Bryant, Ltd. is a local coat retailer. The stores accountant prepared the following income statement for the month ended January 31.Sales revenue $779,000 Cost of goods sold 334,500 Gross margin 444,500 Less operating expenses Selling expense$24,720 Administrative expense 51,100 75,820 Net operating income $368,680 Bryant sells its coats for $250 each. Selling expenses consist of fixed costs plus a commission of $6.50 per coat. Administrative expenses consist of fixed costs plus a variable component equal to 5% of sales.Contribution Format Income Statement Total Per Unit Sales 779,000.00250.00Less: Variable Expenses Cost of Goods Sold334,500.00 107.35Selling Expense20,254.00 6.50Administrative Expenses38,950.00 12.50Total Variable Expenses 393,704.00126.35Contribution Margin 385,296.00123.65Less: Fixed Expenses Selling Expense4,466.00 Administrative Expenses12,150.00 Total Fixed Expenses 16,616.00 Operating Income 368,680.00 QUESTION:1. Operating Expenses = __________x + $_______________2. If 3100 coats are sold next month, what is the expected total contribution margin? (Round answer to 0 decimal places, e.g. 45,000.) Imagine your favorite food. Now imagine taking a bite of that food. What parts of the brain became activated as you ate your favorite food? Porters Inc. issued a 120-day note in the amount of $160,000 on 12/14/12 with an annual rate of 9%. What amount of interest has accrued as of 12/31/12? 1. What IS the Scientific Revolution? Wheniid it take place? A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? Gas diffusion is dependent upon the partial pressure of gasses. Explain the movement of the following gasses between lung alveoli and blood capillaries as a function of their relative partial pressures in each location. 1. Oxygen 2. Carbon Dioxide Read this excerpt from Narrative of the Life of Frederick Douglass, an American Slave.My Dear Friend:You remember the old fable of "The Man and the Lion," where the lion complained that he should not be so misrepresented "when the lions wrote history."I am glad the time has come when the "lions write history.In this excerpt, the writer refers to a fable. When a writer refers to another piece of literature like this, it is called an _____.1)allegory2)allusion3)alliteration4)onomatopoeia Evaluate the expression, if x=4, y=9, and z=7. x(y + z - 3 squared) Daughter, son, father, and mother are examples of statuses associated with which social institution? When Mendel crossed a plant homozygous for round seeds to another plant homozygous for wrinkled seeds, he found that all the progeny had round seeds. How is this explained? A) The parent that was homozygous for round seeds underwent selfpollination. B) The allele for round seeds is recessive to the allele for wrinkled seeds. C) The progeny were homozygous for the allele for round seeds. D) Segregation of alleles in the two parents produced gametes with both alleles. E) The allele for round seeds is dominant to the allele for wrinkled seeds. What should Horus add to his evaluation to make it moreeffective? Select two options. Treasury bonds paying an 7.4% coupon rate with semiannual payments currently sell at par value. What coupon rate would they have to pay in order to sell at par if they paid their coupons annually? (Hint: What is the effective annual yield on the bond?) (Round your answer to 2 decimal places.) What are the causes and effects of increasing marginal returns? Some fossils, like this trilobite, are considered ___________ fossils. This type of fossil is used to help match the relative age of rock layers. In order to do this, the fossil must be found in many different places, during one time period, and have some unique characteristics. There are two different alleles for flower color, P and p. The image shows a white sweet pea that is labeled with its two alleles for petal color.A white sweet pea is labeled p p.What can you surmise from the labeled image?A.The genotype is heterozygous.B.White petal color is a recessive trait.C.White petal color is a dominant trait.D.The phenotype is heterozygous. Considering the hemispheric differences in lateralization related to gender and culture, boys show a greater lateralization of language in the __________ hemisphere; while girls develop language in __________.