If the slope of two lines are negative reciprocals,the lines are perpendicular

Answers

Answer 1

Answer:

Step-by-step explanation:

Yes, "If the slopes of two lines are negative reciprocals,the lines are perpendicular" is correct.

Answer 2

Answer:

True

Step-by-step explanation:

a p e x


Related Questions

what’s the value of y ?

Answers

hey! the value of y is 57

Answer:
66

Explanation:
Because 114+66=180

I need help please.

Answers

Answer:

= 9x³+ 0x²+0x -52....

Step-by-step explanation:

Descending powers means you start with highest power and then decrease.

In this expression the highest power is 3. We do not have any variable with power 2 and 1. So we will write it as:

9x³ -  52

= 9x³+ 0x²+0x -52....

h(x) = 3x - 4
What is h(6)?
ETĀ. 14
e c. 22
SUBMIT

Answers

[tex]h(6)=3\cdot6-4=14[/tex]

Answer:

a. 14 is your answer.

Step-by-step explanation:

h(x) = 3x - 4

h(6) = ?

Plug in 6 for x: x = 6

h(6) = 3(6) - 4

Remember to follow PEMDAS. First, multiply, then subtract:

h(6) = (3 * 6) - 4

h(6) = (18) - 4

Simplify:

h(6) = 18 - 4

h(6) = 14

a. 14 is your answer.

~

For a line that goes through points (2,-2) and (1.-6), what is the equation
of the line in point-slope form?

Answers

Answer:

y + 2 = 4(x - 2)

Step-by-step explanation:

[tex]\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\ on\ a\ line\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\======================================[/tex]

[tex]\text{We have the points:}\ (2,\ -2)\ \text{and}\ (1,\ -6).\\\\\text{Substitute:}\\\\m=\dfrac{-6-(-2)}{1-2}=\dfrac{-4}{-1}=4\\\\y-(-2)=4(x-2)\\\\y+2=4(x-2)[/tex]

All of the following are equivalent except___. 7x^3,4x+3x,(4+3)x,7x

Answers

Answer:

The one that is not equivalent is 7x^3

Step-by-step explanation:

7x^3= 7 * x*x*x

4x+3x = 7x = 7*x

(4+3)x = (7)x = 7*x

7x= 7*x

Answer:

7x^3

Step-by-step explanation:

All of the following are equivalent except 7x^3.

7x^3 = 7x^3

4x+3x = 7x

(4+3)x = 7x

7x = 7x

Which line contains the point (2,1)

4x-y=7
2x+5y=4
7x-y=15
X+5y=21

Answers

Answer:

4x - y = 7.

Step-by-step explanation:

We substitute for x and y and see if they fit.

4x - y = 7

4(2) - 1 = 7

So it is the first line.

Answer: First option.

Step-by-step explanation:

To find which line contains the point (2,1), we can substitute the coordinates into each equation of the line provided in the options:

First option:

[tex]4x-y=7\\4(2)-1=7\\7=7[/tex]

It contains the point (2,1)

Second option:

[tex]2x+5y=4\\2(2)+5(1)=4\\9\neq 4[/tex]

It does not contain the point (2,1)

Third option:

[tex]7x-y=15\\7(2)-1=15\\13\neq15[/tex]

It does not contain the point (2,1)

Fourth option:

[tex]x+5y=21\\2+5(1)=21\\7\neq 21[/tex]

 It does not contain the point (2,1)

What is the smallest positive integer that will make x^x > 500,000? What
is the largest negative integer that will make x^(-x) >500000?

Answers

Answer:

For [tex]x^x > 500,000[/tex]  [tex]x=7[/tex]

For [tex]x^{(-x)} > 500,000[/tex]  [tex]x=-7[/tex]

Step-by-step explanation:

We need to find the smallest positive whole number that satisfies the inequality:

[tex]x^x > 500,000[/tex]

We tested with x = 6

[tex]6^6=46,656[/tex]

[tex]46,656 > 500,000[/tex]

Inequality is not met because [tex]46,656 < 500,000[/tex]

We test with the following integer x = 7

[tex]7^7=823,543[/tex]

[tex]823,543 > 500,000[/tex]

Then the smallest positive integer that will make [tex]x^x > 500,000[/tex] is 7

Inequality is met.

In the same way the largest negative integer that will make [tex]x^{(-x)} >500000[/tex] is [tex]x=-7[/tex] Beacuse [tex]7^{-(-7)}=823,543[/tex]

Answer:

Smallest positive integer value for [tex]x^x>5000[/tex] is,

x = 7,

Largest negative integer value for [tex] x^{-x} >500000[/tex] is,

x = -8

Step-by-step explanation:

If [tex]x^x>500000[/tex]

∵ If x is a positive integer then the possible values of x = 1, 2, 3, 4, 5, 6, 7.....

Case 1 : If x < 7,

[tex]x^x < 500000[/tex]

Case 2 : If x ≥ 7,

[tex]x^x > 500000[/tex]

Hence, smallest positive integer value of x is 7.

Now, if [tex]x^{-x}>500000[/tex]

∵ If x is negative integer then the possible value of x = -1, -2, -3, -4,.....

Case 1 : if x is odd negative integer,

[tex]x^{-x} < 50000[/tex]

eg : -1, -3, -5, -7,...

Case 2 : If x is even negative integer then there are further two cases,

(i)  x is more than or equal to -6,

[tex]x^{-x} < 500000[/tex]

eg x = -6, -4, -2,

(ii) x is less than -8,

[tex]x^{-x} > 50000[/tex]

eg : x = -10, -12, -14,...

Hence, the largest negative integer value that will make [tex]x^{-x}> 500000[/tex] is x = -8.

How to solve 3,4 and 6

Answers

Answer:

[tex]\large\boxed{3.\ V\approx130.88\ m^3}\\\boxed{4.\ V\approx35.21}\\\boxed{6.\ V\approx1.06\ in^3}[/tex]

Step-by-step explanation:

3.

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have R = 3.15 m. Substitute:

[tex]V=\dfrac{4}{3}\pi(3.15)^3\approx\dfrac{4}{3}\pi(31.26)\approx\dfrac{4}{3}(3.14)(31.26)\approx130.88\ m^3[/tex]

4.

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have 2r = 11.6 → r = 5.8 and H = x. Substitute:

[tex]V=\dfrac{1}{3}\pi(5.8)^2(x)=\dfrac{1}{3}\pi(33.64)x\approx\dfrac{1}{3}(3.14)(33.64)x\approx35.21[/tex]

6.

The formula of a volume of a cube:

[tex]V=s^3[/tex]

s - edge

We have s = 1.02 in. Substitute:

[tex]V=(1.02)^3\approx1.06\ in^3[/tex]

LOOK AT PICTURE. GEOMETRY SOLVING FOR MISSING ANGLE

Answers

Answer: 50 degrees

Explanation: Since a quadrilateral has 360 degrees, 360-(130+90+90)=50

Find the distance between the points (–9, 0) and (2, 5).

Answers

Answer:

sqrt( 146)

Step-by-step explanation:

To find the distance between two points, we use the formula

d = sqrt( ( y2-y1)^2 + (x2-x1)^2)

Where (x1,y1) and (x2,y2) are the two points.

(–9, 0) and (2, 5).

Substituting into the equation

d = sqrt( (5-0)^2 + (2- -9)^2)

d = sqrt( ( 5^2 + (2+9)^2)

      sqrt( ( 5^2 + (11)^2)

   = sqrt( 25+121)

  = sqrt( 146)

The distance between the two points is sqrt(74)

Final answer:

The distance between the points (–9, 0) and (2, 5) in the Cartesian plane is approximately [tex]\sqrt{146}[/tex] units.

Explanation:

To find the distance between two points in the Cartesian plane, we can use the distance formula.

The distance formula is:

distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}[/tex]

Using the given points (–9, 0) and (2, 5), we can plug in the values:

distance = [tex]\sqrt{((2 - (-9))^2 + (5 - 0)^2)}[/tex]

distance = [tex]\sqrt{((11)^2 + (5)^2)}[/tex]

distance = [tex]\sqrt{(121 + 25)}[/tex]

distance = [tex]\sqrt{146}[/tex]

So, the distance between the points (–9, 0) and (2, 5) is approximately [tex]\sqrt{146}[/tex] units.

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)

Answers

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

[tex]\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}[/tex]

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

[tex]\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill[/tex]

3 sin^{2} x +cos 2x= (5/4)
answer in radians

Answers

Answer:

I believe it's 0.540717

Step-by-step explanation:

3(sin(2))x+(cos(2))(x)=5/4

Simplify: 2.311745x=5/4

Divide: 2.311745x/2.311735=5/4/2.311745

x=0.540717

in the first quadrant you start at (4,5) and move 2 units down

Answers

Answer:

(4,3)

Step-by-step explanation:

asoming 4 is x and 5 is y down 2 turns 5 into 3

Final answer:

Start at the point (4,5). Moving 2 units down decreases the y-coordinate by 2, thus bringing you to the new point (4,3). Draw a graph to visualize this better.

Explanation:

In the context of a grid in Mathematics, the first quadrant is where both x and y coordinates are positive. The given point starts at (4,5). If you move 2 units down, it means you are reducing the y-coordinate by 2 units. So, starting at (4,5) and moving 2 units down would land you at a new point, which will be (4,3).

To visualize this, you may want to draw a graph on an x-y axis and plot the points (4,5) and (4,3) to see how the position change looks.

Learn more about Co-ordinates here:

https://brainly.com/question/32595209

#SPJ2

What are the solutions to x2 + 8x + 7 = 0?
A.x= -8 and x = -7
B.x=-7 and x = -1
C.x= 1 and x = 7
D.x= 7 and x = 8

Answers

Answer:

B

Step-by-step explanation:

x² + 8x + 7 = 0

x²+x+7x+7=0

x(x+1)+7(x+1)=0

(x+1)(x+7)=0

Either x=-1or x=-7.

Which expression is equivalent to 6^-3?
6^3
3^6
3sqrt6
(1/6)^3

Answers

For this case we must find an expression equivalent to[tex]6 ^ {- 3}[/tex]

By definition of power properties we have to:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

So, we can rewrite the given expression as:

[tex]6 ^ {3} = \frac {1} {6 ^ 3}[/tex]

This is equivalent to:

[tex](\frac {1} {6}) ^ 3[/tex]

Answer:

Option D

Answer:

The correct answer option is D. ( 1 / 6 ) ^ 3.

Step-by-step explanation:

We are given the following expression and we are to determine whether which of the given answer options is equivalent to this:

[tex] 6 ^ { - 3 } [/tex]

Rewriting this as a fraction to get:

[tex] \frac { 1 } { 6 ^ 3 } [/tex]

Therefore, the correct answer option is D. ( 1 / 6 ) ^ 3.

x2 + 2x2 + 3x + 6
Factor

Answers

Answer:

See Below.

Step-by-step explanation:

I'm going to take the equation to be

y = x3 + 2x2 + 3x + 6

That is, the first term is a typo

make 2 groups. Put brackets around both groups.

group 1: x^3 + 2x^2   Take out the common factor of x^2

group 1: x^2(x + 2)

group 2: 3x + 6       Take out the common factor of x^2

group 2: 3(x + 2)

Now put the two groups together

Cubic = group 1 + group 2

Cubic = x^2 (x + 2) + 3(x + 2)

Now take out the common factor of x + 2

Cubic = (x + 2) (x^2 + 3)

the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4. Which represents the solution(s) of this system of equations?

Answers

For this case we have the following system of equations:

[tex]y = x ^ 2-6x + 12\\y = 2x-4[/tex]

Equating the equations:

[tex]x ^ 2-6x + 12 = 2x-4\\x ^ 2-6x-2x + 12 + 4 = 0\\x ^ 2-8x + 16 = 0[/tex]

We look for two numbers that when multiplied, get 16, and when added together, get -8.

These numbers are -4 and -4.

[tex](x-4) (x-4) = 0\\(x-4) ^ 2 = 0[/tex]

So, the solution is[tex]x = 4[/tex]

We look for the value of y:

[tex]y = 2x-4\\y = 2 (4) -4\\y = 8-4\\y = 4[/tex]

Finally, the solution is:[tex](4,4)[/tex]

ANswer:

[tex](4,4)[/tex]

2 PUNTS
This circle is centered at the origin, and the length of its radius is 2. What is
the circle's equation?​

Answers

Answer:

x^2  +  y^2  = 4

Step-by-step explanation:

The center-radius form (formally called the standard form) of a circle is

(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.

So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:

(x-0)^2+(y-0)^2=2^2

Let's simplify:

x^2  +  y^2   = 4

8 lbs of cashew nuts cost $32. What is the cost of one pound?

Answers

Answer:

$4 per pound

Step-by-step explanation:

To find how much one pound of cashew nuts cost you have to use money over unit.

So money/unit, in this problem the money is 32 and the unit is 8.

So 32/8, now you divide 32 by 8 to get the price for one pound.

32 divided by 8 is 4

So $4 per pound

Answer:

The total cost of one pound is $4.

Step-by-step explanation:

[tex]\Large\textnormal{First, you divide the numbers from left to right to find the answer.}[/tex]

[tex]\displaystyle 32\div8=4[/tex]

[tex]\displaystyle \frac{8}{8}=1[/tex]

[tex]32\div4=8[/tex]

[tex]\displaystyle \frac{32}{8}=4\times1=4[/tex]

[tex]\Large \boxed{4}[/tex], is the correct answer.

I hope this helps you and have a wonderful day!

An object is launched from a platform.
Its height (in meters), x seconds after the launch, is modeled by

h(x)=-5(x+1)(x-9)

What is the height of the object at the time of launch?

_________ meters

Please answer as soon as possible please!

Answers

Answer:

45 meters

Step-by-step explanation:

If x represents the seconds after the launch, then the time of launch is when x=0 so you just need to solve for h(0)

h(0) = -5(1)(-9)

h(0) = 45

Answer:

45 m

Step-by-step explanation:

At the time of launch, the time x = 0

Substitute x = 0 into h(x)

h(0) = - 5 (0 + 1)(0 - 9) = - 5(1)(- 9) = - 5 × - 9 = 45

1,547.489 which digit is in the ten place​

Answers

1,547.489

4 - Bold and underline one above is in the ten place.

Answer:

1,547.489

Step-by-step explanation:

Note that there is a decimal point in between 7 & 4, and the numbers to the left are whole numbers, while the numbers to the right is part of the decimal.

From the decimal point, count to the left two place value (to find the tens place):

1,547

1,547

4 is your digit in the ten's place, & is your answer.

~

Suppose line n has a slope of 5/7 and passes through (4,8). what is the equation for n in point-slope form?

Answers

Answer:

[tex]\large\boxed{y-8=\dfrac{5}{7}(x-4)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope [tex]m=\dfrac{5}{7}[/tex] and the point [tex](4,\ 8)[/tex].

Substitute:

[tex]y-8=\dfrac{5}{7}(x-4)[/tex]

Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces.
O

Answers

Answer:

1. The base is a triangle.

Step-by-step explanation: This one seems like it's the only corret one, You might have to wait and see the other answers roll in.

Answer:

2,3&5

Step-by-step explanation:

got it right on edg 2020

Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?

Answers

Answer:  24/4=D

Step-by-step explanation:

24LEGS/4LEGS=6DOGS

Answer:

4d=24

Step-by-step explanation:

4(dogs)=24 legs

so the answer is 6 dogs (in case you need it)

find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23

Answers

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

AB= 6x, BC= x-5, AC= 23

Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

x=4

What transformation maps rectangle QRST to rectangle
Q'R'S'T'?

Answers

Answer:

The shaped is being reflected.

Answer: Reflection

Step-by-step explanation:

When we look at the picture, the two rectangles QRST and Q'R'S'T' appears as the mirror images of each other , also the corresponding sides and angles are congruent.

The transformation that create a mirror image of the figure is known as reflection. It is a rigid transformation because it produces congruent shapes.

Therefore, the transformation maps rectangle QRST to rectangle Q'R'S'T' is reflection.

If you are given the graph of h(x)=log(6)x, how could you graph m(x)=log(6)(x+3)? Translate each point of the graph of h(x) 3 units up. Translate each point of the graph of h(x) 3 units down. Translate each point of the graph of h(x) 3 units right. Translate each point of the graph of h(x) 3 units left.

Answers

Answer:

Last option: Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

There are some transformations for a function f(x). The following is one of these transformations:

If [tex]f(x+k)[/tex], then the function is shifted "k" units to the left.

Given the function  [tex]h(x)=log_6(x)[/tex] and the function  [tex]m(x)=log_6(x+3)[/tex], you can notice that the function m(x) is the function h(x) but shifted left 3 units.

Therefore, you could graph the function m(x) by translating each point of the graph of the function h(x) 3 units left.

This matches with the last option.

Answer:

Last option (D) Translate each point of the graph of h(x) 3 units left.

Write the following as an expression.




I have 10 pounds of nuts worth $d per pound. What is the value of the nuts?​

Answers

Answer:

$10d

Step-by-step explanation:

The unit price is $d per pound. It is a dollar amount divided by the number of pounds. If you multiply the unit price by pounds, then the units work out like this:

$/lb * lb = $

When you multiply the unit price in dollars per lb by lb, you get dollars.

In your case:

$d/lb * 10 lb = $10d

That value of the nuts is $10d.

10d
it's basically 10 times $d

The height of the parallelogram, h, can be found by dividing the area by the length of the base. If the area of the parallelogram is represented by 4x2 – 2x + 5 and the base is 2x – 6, which represents the height? 2x + 5 + 2x – 7 – 2x – 7 + 2x + 5 –

Answers

Answer:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Step-by-step explanation:

We know that the height of a parallelogram can be found by divind the area by the lenght of the base.

The area is 4x2 – 2x + 5 and the base is 2x – 6. To find the height, we need to divide both polynomials:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Answer:

[tex]2x+5+\frac{35}{2x-6}[/tex]

Step-by-step explanation:

Given,

The area of the parallelogram, A = [tex]4x^2-2x+5[/tex]

The length of its base, b = [tex]2x-6[/tex]

∵ The height of the parallelogram.

[tex]h=\frac{A}{b}[/tex]

[tex]\implies h=\frac{4x^2-2x+5}{2x-6}[/tex]

[tex]=2x+5+\frac{35}{2x-6}[/tex]   ( by long division shown below )

Hence, the height of the given parallelogram is,

[tex]2x+5+\frac{35}{2x-6}[/tex]

Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)

Answers

Answer:

[tex] 2 ^ { \frac { 5 } { 2 } [/tex]

Step-by-step explanation:

We are given the following expression which we are to find its simplest form:

[tex] \frac { 4 ^ { \frac { 5 } { 4 } } \times 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }[/tex]

Cancelling the like terms to get:

[tex] 4 ^ { \frac { 5 } { 4 } } [/tex]

[tex] 2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } } [/tex]

[tex] 2 ^ { \frac { 5 } { 2 } [/tex]

Answer:

B

Step-by-step explanation:

Other Questions
Occupation is an example of a (n) blank. On takeoff, the combined action of the engines and the wings of an airplane exert a force of 8.00 103 N on the plane upward at an angle of 65.0" above the horizontal. The plane rises with constant velocity in the vertical direction while continuing to accelerate in the horizontal direction. (3 marks) a. What is the weight of the plane? b. What is the horizontal acceleration of the plane? . Find the geometric means in the following sequence.-9,?,?,?,?,-9,216Select one:a. -144, -576, -2,304, -9,231b. 36, 144, 576, 2,304c. -720, -1,080, -1,440, -1,800d. -36, -144, -576, -2,304 Calculate the amount of water required to prepare 500g of 2.5% solution of sugar.(ii) How many litres of (Mass/volume) sugar solution would it take to get 75g of sugar. does Hydra have ventral nerve cord What are beats? Determine the terms decibel and octave. Match each force abbreviation to the correct description. Fg Fp Ff Fn force exerted by a push or pull. Support force at a right angle to a surface. Also known as an object's weight. Force that comes from a resistance to motion. Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x + 10 y = 5x + 10 y = -1/5x + 22/5 y = 1/5x + 28/5 y = -5x - 10 The diaphyseal region of bone is composed of which of the following bone types?A) spongy B) cancellous C) cortical D) trabecular SEE PHOTO. Based on the diagram, all of the following are true except...A) cos38 = 24/xB) sin52 = 24/xC) cos38 = x/34D) cos52 = x/24 An activity-based costing system is developed in four steps: a. Compute the predetermined overhead allocation rate for each activity. b. Identify activities and estimate their total indirect costs. c. Identify the allocation base for each activity and estimate the total quantity of each allocation base. d. Allocate indirect costs to the cost object. Which of the following is the correct order for performing these steps? b, a, c, d a, b, c, d c, a, b, d b, c, a, d Calculate the mass of a 0.9 m^3 block of a material having a density of 12500 kg/m^3. The Finishing Department had 11,000 incomplete units in its beginning Work-in-Process Inventory which were 100% complete as to materials and 30% complete as to conversion costs. 33,000 units were received from the previous department. The ending Work-in-Process Inventory consisted of 4,300 units which were 50% complete as to materials and 30% complete as to conversion costs. The Finishing Department uses first-in, first-out (FIFO) process costing. How many units were transferred-out during the period? 44,000 units. 28,700 units. 26,300 units. 39,700 units. Are the two figures congruent?No, because all of the corresponding sides are unequal.Yes, because AB = AB.No, because the reflection of ABC is not congruent to ABC.Yes, because they are reflections of each other. What is the original meaning of the underlined idiom in thisexcerpt? Question 9 (7 points) Adam borrows $6000 for two years at an 8% annual interest rate, what is his monthly payment? A. $250 D. $522 B. $271 C.$290 E. None of these The chain of events driven by conflict and decision making in a text is called ________. characterization plot setting theme 1 PointWhat type of reaction is represented by the general equation shown below?XY X+YO A. Double-displacementO B. CombustionOC. Single-displacementOD. Decomposition Suppose S and T are mutually exclusive events find P(S or T) if P(S)=1/3 and P(T)=5/12 According to von Thunens model, the area beyond the fourth ring represents unoccupied wilderness. Based on his theories, which of the following statements would von Thunen most likely make about the area beyond the fourth ring? A. Producing agriculture past the area of the fourth ring would lead to famine. B. Producing agriculture past the area of the fourth ring would not be accessible to the railroad. C. Producing agriculture past the area of the fourth ring would not be profitable. D. Producing agriculture past the area of the fourth ring would be too dangerous.