What is the slope of the equation 2 y = 6 x - 8?

3
4
6
2

Thanks for any help you offer!

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

Answer:

3

Step-by-step explanation:

I used a calculator


Related Questions

please help... I'm stuck

please help... I'm stuck

Answers

Here I'll help!

multiply all of those numbers u see thank me later! ( u can use a calculator for multiplying all the sides!

Multiply all the numbers together

Which choice when added to | −5 + 7 | will equal zero?
| +5 − 7 | [ 2] − | −5 + 7 | [3] | −( −5 + 7 ) | [4] | 7 − 5 |
i know the anwser is two but how do you get it

i need it by 5/1/23 at 8pm

Answers

Answer:

[ 2] − | −5 + 7 |

Step-by-step explanation:

Since we know that | −5 + 7 | is an absolute value, we know that the answer will be positive no matter what.

Step 1) Solve. | −5 + 7 | = 2.

Step 2) Find which other absolute value is equal to -2.

After solving [2], − | −5 + 7 | = -2, we know that the answer is choice 2.

We know this because | −5 + 7 | = 2, however, since it is multiplied by (-), it becomes -2. And 2 + (-2) = 0

To solve this problem, we need to simplify each expression and see which one, when added to | −5 + 7 |, will equal zero.

We start by simplifying | −5 + 7 |:

| −5 + 7 | = | 2 | = 2

Now we can simplify each of the answer choices:

[2] | +5 − 7 | = | −2 | = 2
[3] | −( −5 + 7 ) | = | 2 | = 2
[4] | 7 − 5 | = | 2 | = 2

We see that only choice [2], when added to | −5 + 7 |, will equal zero:

2 + (−2) = 0

Therefore, the answer is [2] | +5 − 7 |.

kaylie and her family have decided to go on a mountain biking trip. use the graph tp draw a graph that represents their trip.
In one hour they rode one mile up the mountain. the next two hours they rode an additional three miles up the mountain. next, they stopped to have a lunch for an half hour. after lunch they rode two more miles up the mountain for two hours. finally they rode back to the bottom of the mountain in two hours.

Answers

Answer:

1234567891011121314151617

Answer:

where is the question?

Step-by-step explanation:

Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)
the points (-2,-10) and (8,r) fall on a line with a slope of 1/10. What is the value of r?

Answers

Use the formula slope= y-y/x-x
-10-r/-2-8= 1/10
-10-r/-10= 1/10
Multiply the denominator (-10) on both sides
-10-r= -1
Add -10 to both sides
-r= 9
r= -9
Hope this helps!

Answer:

(8,-9)

Step-by-step explanation:

I used desmos to find your answer and got to finding the point using the slope. Sadly I can't link it for you

pls answer I'll mark brainliest

pls answer I'll mark brainliest

Answers

Answer:

Step-by-step explanation:

so in order to find the surface are of square and rectangle we have this formula square =a^2


Some of the rectangles are 11*5 = 55

And for the squares they are 2*5=10


But we have 2 rectangle with 2*11=22

Basically just add them up and the answer is 174m^2

174.

the L of the main rec is 11x14 the side boxes both have an area of 10. add all up and you get 174

Help me please il give 20 points!

Help me please il give 20 points!
Help me please il give 20 points!
Help me please il give 20 points!

Answers

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

20 points to whoever gets these right!! <3

20 points to whoever gets these right!! &lt;3
20 points to whoever gets these right!! &lt;3

Answers

Answer:

1st one 8/20

Step-by-step explanation:

Last one is the two way tables it should be 6/8

what is 3 / 66.9 explain how u got the answer

Answers

The answer is either .04 or 10/223 you didn’t really give enough information. I just put the equation in a calculator.
10/223 just by converting 66.9 to a fraction hence getting 3/669/10 after the conversion you then simply the expression which then gets you 10/223

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6100 and his stock in Company B was worth $6480. The stock in Company A has decreased 2% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Investment in Company A by investor = $6100

Investment in Company B by investor = $6480

The decrease in value of the stock of company A is 2%

The decrease in value of the stock of company B is 10%

Value of wealth that investor lost in company A = 6100× 2/100

= 61×2

= $122

The decline in the value of the stock of company B = 6480×10/100

= 648×1/1

= $648

The total decline in the wealth of the investor= 122+648

= $770

The combined wealth of investor in both companies= 6100+6480

= $12580

Percentage of decline in the stock account of investor= 770×100/12580

= 77000/12580

= 6.1%

The total percentage decline in investor's stock account is 6.1%

For more information about stock:

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I need help! (20 POINTS)

I need help! (20 POINTS)

Answers

Top left
(3,3) (3,6) (8,6) (8,3)
first answer (3,3)(3,6)(8,6)(8,3)

This is due like in 5 minutes. So help me pleasee.

This is due like in 5 minutes. So help me pleasee.

Answers

The slope of the graph is 2

Answer:

m = 2

Step-by-step explanation:

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

( - 4 , - 3 )

( - 5 , - 5 )

m = \(\frac{-5+3}{-5+4}\) = 2

What angle is this is it a obtuse right or straight I need help

What angle is this is it a obtuse right or straight I need help

Answers

the answer is obtuse

There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?

Answers

I’m pretty sure the answer should be 1,710 if not i’m sorry

Answer:

1710 fish

Step-by-step explanation:

Let the number of fish in the lake last year be 'x'

The equation becomes-
x + 15x/100=6210     (This is because 15% of x is added in x to become    
6210... hope you understand)

x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400

Therefore- The number of fish last year = 5400


Now, let the number of fish in the lake 2 years ago be 'y'

The equation becomes-
y + 20y/100 = 5400     (Same logic as last time)

y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500

Therefore- Fish in the lake two years ago = 4500 fish

Difference between current and two years ago = 6210-4500
                                                                               = 1710 fish

Hope you understood the answer and I hope it helps you :)


A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 24 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.

14.6 feet
11.6 feet
9.6 feet
4.8 feet

Answers

Answer:
10.4 feet
Step-by-step explanation:
26/5 = 52
5.2(2)=10.4

The length of the tree's shadow will be 9.6 feet. The correct option is C.

How to calculate the length?

The characteristics of related triangles can be used to solve this issue. Let's write "x" for the tree's height and "y" for the shadow's length. The following proportion can be configured:

(height of post) / (length of post's shadow) = (height of tree) / (length of tree's shadow)

5/2 = 24/y

To solve for "y", we can cross-multiply and simplify:

5y = 48

y = 48/5 = 9.6 feet

Therefore, the length of the tree's shadow is 9.6 feet.

To know more about the similarities of triangles follow

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the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there

Answers

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

If xx and y vary directly and y is 21 when x is 7, find y when x is 5

Answers

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

PLS HELPP

A shipment of 8 tons of sugar is separated into containers of equal size. If the shipment fills 3 and 1/3 of containers, how much sugar can one container hold?
Write your answer as a mixed number in simplest form.

Answers

Answer:

1 1/9

Step-by-step explanation:

3.6 toms per container.

brainliest to best answer

brainliest to best answer

Answers

Answer:

To find the mean we add all of the scores together and divide it by how many scores there were:

\(\frac{5+2(6)+4(7)+8(8)+5(9)}{20}\)

After simplifying, we get:

\(\frac{140}{20} =7\)

So the mean is 7.

To find the median we order the scores of them from least to greatest:

\(5,6,6,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,\)

We see that the number in the middle is 8, so the median is 8.

The mode is obviously 8, because it appears most frequently.

The range is the highest score subtracted from the lowest score, or 4.

41.501÷4

Please help me,

Answers

Answer:

10

Step-by-step explanation:

Your answer could be 10 or 10.3

Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)

Answers

Answer:

Option B.

Step-by-step explanation:

The given relation is

\(x=2y^2+6\)

At y=-2,

\(x=2(-2)^2+6\)

\(x=2(4)+6\)

\(x=8+6\)

\(x=14\)

Similarly,

At y=-1,

\(x=2(-1)^2+6=8\)

At y=0,

\(x=2(0)^2+6=6\)

At y=1,

\(x=2(1)^2+6=8\)

At y=2,

\(x=2(2)^2+6=14\)

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Viet, quinn, and lucy are going to play bingo B 1-15, I-16-30, N-31-45, G-46-60, O-61-75.
Lucy makes a probability model to determine whether the first number drawn will be even or odd. Compare the different probabilities.

Answers

according to my understanding it will be odd because there are more odd numbers than even numbers in 1-15

15/1
15

Answer:odd. I don't know if I'm right though.

Step-by-step explanation:

I think it's odd as it be -15 which is odd.

I really hope this helps.

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

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Simplify the following 5/8 × 6/7.

Answers

\( \frac{15}{28} \)

Multiply numerator by numerator and denominator by denominator

15/28 is the answer

50 POINTS!!! I NEED HELP ASAP!! BRAINLIEST WILL BE GIVEN TO YOU IF I GET A GOOD GRADE!!!! (ONLY NEED HELP WITH PART 1 & 2!!!!!!

STORY LINE: Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
--------------------------------------
I ALREADY COMPLETED PART ONE!!! I REALLY NEED HELP WITH PART 2 AND 3!!! IF MY ANSWERS ARE INCORRECT ON PART ONE FEEL FREE TO CORRECT THEM!!! Part 1: Writing Expressions
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

ANSWER: Expression: 6(3j+4+2j)

Translate the algebraic expression you created in Question 1 to a verbal expression.

ANSWER: 6 times the sum of 3 times a number, 4, and 2 times a number.
-----------------------------------------------------

I NEED HELP WITH PART 2!!! Part 2: Writing Equivalent Expressions
You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.

a. Use either the commutative property or combine like terms to create an equivalent expression.

b.Use the distributive property to create an equivalent expression.

Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.

----------------------------------------

I NEED HELP WITH PART 3!!! Part 3: Finish the Story
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?

Choose a method to present your assignment. You may submit your work in a Word Document or you may choose to develop a PowerPoint presentation or video recording of yourself. Use your creativity! Make sure to include the information from all three parts in your Word Document or presentation.

Answers

3(2.5j+2)…2

Because if you use pens as you should be able to
Solve the problem yawing the extra curriculum exvances

Which of the following show a percent increase greater than 50%? Select all that apply.?

A jacket that costs $18 is sold to the customer for $25.
A hat that costs $8 is sold to the customer for $12.
A pair of shoes that costs $20 is sold to the customer for $35.
A shirt that costs $12 is sold to the customer for $20

Answers

Answer: A pair of shoes that costs $20 is sold to the customer for $35, and A shirt that costs $12 is sold to the customer for $20.

Step-by-step explanation:

1. Half (or 50%) of 20 is 10, so 20+10=30, but 35 is bigger than 30.

2. Half (or 50%) of 12 is 6, so 12+8=18, but 20 is bigger than 18.

A shirt that costs $12 is sold to the customer for $20

Please Help with these Questions

Please Help with these Questions

Answers

1. Red
2.orange
3. Pink
4. Black
5.green
1.Red 2.orange 3.pink 4.black 5.green

can i have help with this i need to also know the working out ​

can i have help with this i need to also know the working out

Answers

Here separate it into two rectangles and find the missing sides. The one with the box is 3 because 5-2=3
can i have help with this i need to also know the working out

Answer: 76m

Step-by-step explanation:

First, start by splitting the figure into 2 smaller rectangular prisms; this can be done vertically or horizontally. I'll solve both ways so you can understand better.

Method 1: Splitting the figure into 2 rectangles vertically

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the width (2m) by the length (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 5m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 5m (the height), and the answer is 40m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 4m and you can figure out the width by subtracting 5m - 2m which gives you 3m. Now you know your base which is 4m. To solve for the height you must again subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 4 X 3 X 3. The volume of rectangular prism 2 should come out to be 36m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 40m + 36m = 76m.

Method 2: Splitting the figure into 2 rectangles horizontally

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the length (2m) by the width (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 2m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 2m (the height), and the answer is 16m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 5m and the given width is 4m. Now you know your base which is 4m. To solve for the height you must subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 5 X 4 X 3. The volume of rectangular prism 2 should come out to be 60m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 16m + 60m = 76m.

Hope this helps!

PPPPPLLLLEEEAAAAASSSSSSSEEEEEEE HEEEEEEEEELLLP
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. Find the length of AB to the nearest meter. Explain how you got this answer.

PPPPPLLLLEEEAAAAASSSSSSSEEEEEEE HEEEEEEEEELLLP To measure the distance across a pond, a surveyor locates

Answers

Answer:

formula with a squared term.

It’s not about distance in the sense of walking diagonally across a room. It’s about any distance, like the “distance” between our movie preferences or colors.

If it can be measured, it can be compared with the Pythagorean Theorem. Let’s see why.

Understanding The Theorem

We agree the theorem works. In any right triangle:

pythagorean theorem

If a=3 and b=4, then c=5. Easy, right?

Well, a key observation is that a and b are at right angles (notice the little red box). Movement in one direction has no impact on the other.

It’s a bit like North/South vs. East/West. Moving North does not change your East/West direction, and vice-versa — the directions are independent (the geek term is orthogonal).

The Pythagorean Theorem lets you use find the shortest path distance between orthogonal directions. So it’s not really about right triangles — it’s about comparing “things” moving at right angles.

You: If I walk 3 blocks East and 4 blocks North, how far am I from my starting point?

Me: 5 blocks, as the crow flies. Be sure to bring adequate provisions for your journey.

You: Uh, ok.

So what is “c”?

Well, we could think of c as just a number, but that keeps us in boring triangle-land. I like to think of c as a combination of a and b.

But it’s not a simple combination like addition — after all, c doesn’t equal a + b. It’s more a combination of components — the Pythagorean theorem lets us combine orthogonal components in a manner similar to addition. And there’s the magic.

In our example, C is 5 blocks of “distance”. But it’s more than that: it contains a combination of 3 blocks East and 4 blocks North. Moving along C means you go East and North at the same time. Neat way to think about it, eh?

From the picture attached,

AB and ED are the parallel sides of two triangles ΔCDE and ΔCBA.Measure of sides

        DE = 5 m, CD = 5 m, CE = 4 m and CA = 12 m

In ΔCDE and ΔCBA,

Two sides AB and ED are parallel and two lines AC and BC are intersecting these lines,

Therefore, ∠CDE ≅ ∠CBA and ∠CED ≅ ∠CAB [Corresponding angles]

By AA postulate of similarity,

ΔCDE ~ ΔCBA.

By using the property of two similar triangles,

   "Corresponding sides of two similar triangles are proportional"

\(\frac{CE}{CA}= \frac{DE}{BA}\)

\(\frac{4}{12}= \frac{5}{AB}\)

\(AB=\frac{5\times 12}{4}\)

\(AB=15\) m

      Therefore, length of AB will be 15 meters.

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i need help First 1 to answer they get brainllyest and 50 points

i need help First 1 to answer they get brainllyest and 50 points

Answers

Answer:

B

Step-by-step explanation:

I think is B because is in the same line

Line TK is not a transversal to line. LR because lines TK and LR are parallel, transversal lines intersect.

Answer is C

To make a number pattern, Shana used the rule "Add 3," with a whole number as the starting number. Which statement must be true about Shana's list of numbers?

Answers

Answer:

you didnt put enough context in your question but if shana kept using three she would have mixed even and odds in her numbers if you could give more context to the question id be glad to help more

The statement that is true is that the pattern will consist of even and odd numbers no matter what whole number you begin with
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The truly rich are those who enjoy what they have. what does the quote want to say? When an attacker attempts to write more data into a web application's memory than it can handle, it is an example of: ]A. Brute force attempt B. XSRF C. Pass the hash D. Buffer overflow Evaluate: b a for a = 2 and b = 18 According to this article, the method used by scientists is...deductiveeclecticinductiverationa Can anyone answer me please fast 1. What operating system and type of device is on 192.168.1.179? what is its mac address? Which group of immigrants DID NOT experience discrimination A. Irish B. ItaliansC. Chinese D. English Please Help Quick ASAP Hurry Chemistry Unit 4 Review Sheet4. If 65.8 grams of SO3 are produced in the unbalanced reaction below, how many grams of oxygen reacted?SO2(g) + O2(g) SO3(g)Work:Ans:_________ The selectivity of a particular ion channel refers to its:. PART B: Which detail from the text best supports the answer to Part A?A"So that when you have an island now of, I don't know, something like 10 million people who believed that blackness and Haitianness is bad, it's not even our fault, frankly." ( Paragraph 10)B"[T]o be so obsessed with taking on characteristics of another ethnic group was really a denial of self?" ( Paragraph 18)C"I heard it from people saying, 'Well oh, my God. Well, I would never wear my hair natural.'" ( Paragraph 22)D"[Y]ou know, 'We're a very racially open and mixed society,' so I'm not sure. I bet the truth is somewhere in the middle." ( Paragraph 32) Determine the value of y, if x is 1.y = |x| +7Help plsss Projects P and Q are mutually exclusive projects under consideration by a company which has a cost of capital of 12%. Project P has an IRR =11% while Project Q has an IRR =14%. No other information is available. Which project should the firm accept? Which statement best describes Martha's character in The Secret Garden? A)Martha is a flat, static character who changes as she spends time with Mary. B)Martha is a round, dynamic character who changes as she spends time with Mary. C) Martha is a flat, static character whose role is to help Mary adjust to life in Yorkshire. D)Martha is a round, dynamic character whose role is to help Mary adjust to life in Yorkshire why emotional intelligence is related to the ability to listen critically and carefully energy producion in the cell occurs primarily in the nucleus T/F? When 0.157 mol NH3 is reacted with excess HCl, 6.91 kJ of energy is released asheat. What is H for this reaction per mole of NH3 consumed which kind of judicial decision-making acknowledges the power of judges to promote new social policy by overturning precedent? The term "discount rate" refers to Select one: O A. the interest rate on loans from the Central Bank to a bank. O B. the interest rate on loans of reserves from one bank to another. O C. the price banks pay the Central Bank for government securities. O D. the interest rate on loans from a bank to the government. O E. the price the Central Bank pays for government securities. The functions fand g are defined as follows. f(x) = 3x-1 g(x)=3x +5 Find f(-6) and g (-4). Simplify your answers as much as possible. (-6) = g (-4) = the tension in a string from which a 4.0-kg object is suspended in an elevator is equal to 44 n. what is the acceleration of the elevator?