a solid wooden cone with diameter 14cm and vertical length 24cm is vertically cut into two equal halves. one half is to be covered by paper at rate of rs 7per sq. cm find total cost of paper required?​

Answers

Answer 1

Answer:

V = 392[tex]\pi[/tex]

Step-by-step explanation:

The volume of a cone is: V = [tex]\frac{1}{3} \pi r^{2} h[/tex]

diameter = 14  h = 24

diameter = 2r ---> r = 7

V = [tex]\frac{1}{3} \pi (7)^{2} (24)[/tex]

V = [tex]\frac{1}{3} \pi (49)(24)[/tex]

V = [tex]\frac{1}{3} \pi (1176)[/tex]

V = 392[tex]\pi[/tex]


Related Questions

“which expression is the factored form of x^2-7x+10?”

Answers

(X-5)(x-2) here you go

How to find the mean of the integers of -26, 39, -10, -16, 12, 31

Answers

Answer:

mean = 5

Step-by-step explanation:

"mean" is another term for "average"

to find the mean, you have to add all the integers up, and divide by the number of integers there are.

So you have to combine all the numbers together

-26 +39 -10 -16 +12 +31 = 30

Now you have to divide by 6, since there are 6 integers that you combined to get 30

30/6 = 5

the mean = 5

Hope this helps!

If you have any questions, feel free to ask :)

what is the solution to -3/4 + 5/8

Answers

Answer:

-1 3/8

Step-by-step explanation:

Answer:-3/4 = -6/8

-6/8 + 5/8= -1/8

Step-by-step explanation:

Molly's Bikes rents bikes for $17 plus $8 per
hour. Emily paid $81 to rent a bike. For
how many hours did she rent the bike?

Answers

Answer:

8 hours

Step-by-step explanation:

81 - 17 = 64

64/8 = 8

A: 8 hours

A function assigns the value of each element of one set to the other specific element of another set. The number of hours for which Emily rents the bike is 8.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that Molly's Bikes rents bikes for $17 plus $8 per hour. Therefore, for x number of hours the function to calculate the total rent can be written as,

Total rent, f(x) = $17 + $8(x)

Now, if Emily paid $81 to rent a bike. The number of hours can be calculated as,

f(x) = $17 + $8(x)

$81 = $17 + $8(x)

$81 - $17 = $8(x)

$64 = $8(x)

x = $64 / 8x

x = 8

Hence, the number of hours for which Emily rents the bike is 8.

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Adam is carrying books to the classroom for his teacher. Each book weighs 3.85 pounds. If he carries 4 books, about how many pounds is Adam carrying?​

Answers

Final answer:

Adam is carrying a total of 15.4 pounds of books to the classroom, calculated by multiplying the weight of one book (3.85 pounds) by the number of books (4).

Explanation:

The subject of this question is Mathematics, and it is appropriate for a middle school grade level. The student has asked about the total weight Adam is carrying when he transports four books to the classroom, with each book weighing 3.85 pounds.

To find the total weight of the books Adam is carrying, we multiply the weight of one book by the number of books:

Weight of one book = 3.85 pounds Number of books = 4 Total weight = Weight of one book  imes Number of books Total weight = 3.85 pounds  imes 4 Total weight = 15.4 pounds

Therefore, Adam is carrying approximately 15.4 pounds of books to the classroom.

find the area of of the rectangle with the given base and height.
2ft 4in
ANSWER IN FEET

Answers

Answer: 0.667feet

Step-by-step explanation:

You divide 8in by 12

Find last year's salary if, after a 2% pay raise, this year's salary is $36,720.​

Answers

36,720 • 0.02 = 734.4
36,720 - 734.4 = 35,985.60

last years salary = $35,985.60

Simplify these expressions.
a. 13xyz + 9 + 2xyz + 3
b. 6ab + (–2ab) + 4 + 6

Answers

Answer:

a.  13xyz + 9 + 2xyz + 3

13xyz+2xyz+ 9+3 ( combine like terms)

15xyz+12

b. 6ab + (–2ab) + 4 + 6

6ab-2ab+4+6

4ab+10

Answer:

a. 13xyz + 9 + 2xyz + 3

Combine the coefficents of the like monomials.

(13 + 2 = 15)

15xyz + 9 + 3

Add the constants (9 + 3 = 12).

Answer: 15xyz + 12

b. 6ab + (–2ab) + 4 + 6

Combine the coefficents of the like monomials.

[6 + (–2) = 4]

4ab + 4 + 6

Add the constants (4 + 6 = 10).

Answer: 4ab + 10

Step-by-step explanation:

straight from Penn

Simplified form of square root of 72

Answers

Answer:

[tex] \sqrt{72} = \sqrt{36 \times 2} = 6 \sqrt{2} [/tex]

the simplified form

Answer: 6√2

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36 then recognize 36 as a perfect square, 6 · 6.

There is no need to factor further because the 6's pair up.

So a 6 comes out of the radical leaving a 2 inside.

Since the 2 doesn't pair up, it becomes the radicand.

When simplifying radicals using the factor tree,

always be on the lookout for perfect squares.

Marissa is ordering from least to greatest. Here are her steps:

Answers

The correct answer is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Wich graph represents the solution to this inequality? -1/4(12x+8)<-2x+11

Answers

Answer:

x > -13

Step-by-step explanation:

-[tex]\frac{1}{4}[/tex] x (12x + 8) < -2x + 11

Factor out 4 from expression

-[tex]\frac{1}{4}[/tex] x 4 (3x + 2) < -2x + 11

reduce numbers wit greatest common divisor 4

- (3x + 2) < =2x + 11

When a - is in front of parenthesis change the sign

-3x -2 < -2x + 11

Move variable to left side and change the sign

-3x + 2x -2 < 11

Move constant to the right and change the sign

-3x + 2x < 11 + 2

Collect like terms

-x < 11 + 2

add

-x < 13

Change the signs on both sides of the inequality and flip the inequality sign

x > -13

Answer:

x > -13

Step-by-step explanation:

-13 with the red dot and go to the right where it passes -5

            ➡️ ➡️➡️

-17 -15 -13 -11 -9 -7 -5

PLEASE HELP. Use the Pythagorean Theorem
Question
Chi is planning to put a path of paving stones through her flower garden, as shown below. The flower garden is a square
with a side length of 10 feet. What will be the length of the path? Round your answer to 2 decimal places.
10
Provide your answer below:
feet

Answers

Answer:

14.14

Step-by-step explanation:

10[tex]10^{2} +10^{2} =x^{2}[/tex]

Simplifying gives you:

10\sqrt{2} ≈ 14.14213562...

The length of the path through Chi's flower garden is approximately 14.14 feet, rounded to two decimal places.

We have,

To find the length of the path through the flower garden, you can use the Pythagorean theorem since the path forms a right-angled triangle inside the square garden.

The garden is a square with a side length of 10 feet.

The path goes from one corner of the square to the opposite corner, forming the hypotenuse of a right-angled triangle.

The other two sides of the triangle are the sides of the square, which are also 10 feet each.

Using the Pythagorean theorem, you can find the length of the hypotenuse (the path):

[tex]c^2 = a^2 + b^2[/tex]

where c is the length of the hypotenuse (the path), and a and b are the lengths of the other two sides (which are both 10 feet in this case).

[tex]c^2 = 10^2 + 10^2[/tex]

c² = 100 + 100

c² = 200

Now, take the square root of both sides to find the length of the path (c):

c = √200 ≈ 14.14 feet

Thus,

The length of the path through Chi's flower garden is approximately 14.14 feet, rounded to two decimal places.

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PLEASSE HELP THANK YOU!!!

Answers

Answer:

[tex]-3x^4+3x^3+8x^2-2x-5[/tex]

Step-by-step explanation:

Here we need to move the negative sign to the rest of the variables, and then only add the ones with the same power:

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)\\-2x^4-2x^3+8x^2+2 - x^4+5x^3-2x-7[/tex]

And then move the variables with the same power closer together

[tex]-2x^4-x^4-2x^3+5x^3+8x^2-2x+2-7[/tex]

See how -x^4 and -2x^4 are together?

All we have to do now is combine.

[tex]-2x^4-x^4-2x^3+5x^3+8x^2-2x+2-7\\-3x^4+3x^3+8x^2-2x-5[/tex]

So our answer is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

Answer:

-x^4-10x^3-16^x2-14

Step-by-step explanation:

53% of the 1000 students at Barnett High are girls. How many boys are there in the school?

33
47
470
530

Answers

Answer:

470

Step-by-step explanation:

1000 x 0.53 = 530

1000 - 530 = 470

How much will a bag of chips and a drink cost you when you have a coupon for 75 cents off the
total price?
Item
Price
$1.29
Chips
Drink
$0.89

Answers

The total price would be $1.39
Final answer:

To find out the total cost after using a coupon, you first add the prices of the items - $1.29 for chips and $0.89 for a drink, totalling $2.18. Then subtract the value of the coupon, $0.75, from this amount. The final cost would be $1.43.

Explanation:

The first step in solving this problem is to add the prices of the bag of chips and the drink. According to the prices given, the chips cost $1.29 and the drink costs $0.89.

By adding these together, you will get the total cost before using the coupon. The sum of $1.29 and $0.89 equals $2.18. This is the total cost without any discounts.

Next, you need to take into account the coupon for $0.75 off the total price. Subtracting this from the initial cost, we get: $2.18 - $0.75 = $1.43.

So, the final cost of the bag of chips and the drink after using the 75 cents coupon would be $1.43.

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Josiah had a pot belly pig as a pet that weighed 46 pounds . What is the prime factorization of 46

Answers

Answer:Prime factorization of 46 is 2 * 23

Step-by-step explanation:

The answer is 2x23 they are both distant

F(x)=5x-4 g(x)=3x-7 evaluate f(g(3)

Answers

Answer:

g(3)=9-7=2

f(2)=5×2-4=10-4=6

Answer:

Step-by-step explanation:

f(x)=5x-4 g(x)=3x-7

g(3) = 3(3)-7=2

f(g(3))=f(2) =5(2)-4 = 6

Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant of proportionality is 42. Write an equation to represent the relationship between the numbers of yards of yarn Paula has and the number of hats she can knit. h=

What does the constant if proportionality 42, represent in this problem?

Complete the table showing the yards of yarn and the number of hats Paula can knit.

Answers

Answer:

Part 1) The equation is [tex]h=42y[/tex]

Part 2) The number of hats Paula can knit is 42 per yard of yarn

Part 3) see the procedure

Part 4) For 378 yards of yarn Paula can knit 9 hats

Step-by-step explanation:

Let

h -----> the number of hats

y ----> the amount of yarn in yards  

k ---> constant of proportionality

Part 1) Write an equation to represent the relationship between the numbers of yards of yarn Paula has and the number of hats she can knit

we know that

A relationship between two variables, h, and y, represent a proportional variation if it can be expressed in the form [tex]h/y=k[/tex] or [tex]h=ky[/tex]

we have

[tex]k=42[/tex]

substitute

[tex]h=42y[/tex]

Part 2) What does the constant if proportionality 42, represent in this problem?

The constant of proportionality represent the slope of the linear equation

The value of the slope is [tex]42\ \frac{hats}{yd}[/tex]

That means that the number of hats Paula can knit is 42 per yard of yarn

Part 3) Complete the table showing the yards of yarn and the number of hats Paula can knit

we have

[tex]h=42y[/tex]

Part a) For y=0 yd Find the value of h

substitute in the linear equation the value of y and solve for h

[tex]h=42(0)=0\ hats[/tex]

Part b) For h=3 hats Find the value of y

substitute in the linear equation the value of h and solve for y

[tex]3=42y[/tex]

[tex]y=3/42\ yd[/tex]  ----> [tex]y=1/14\ yd[/tex]

Part c) For y=210 yd Find the value of h

substitute in the linear equation the value of y and solve for h

[tex]h=42(210)=8,820\ hats[/tex]

Part d) For y=378 yd Find the value of h

substitute in the linear equation the value of y and solve for h

[tex]h=42(378)=15,876\ hats[/tex]

Part 3) For h=11 hats Find the value of y

substitute in the linear equation the value of h and solve for y

[tex]11=42y[/tex]

[tex]y=11/42\ yd[/tex]  

Part 4) Interpret the meaning of the point (378,9)

we have that

y=378 yd

h=9 hats

That means -----> For 378 yards of yarn Paula can knit 9 hats

Answer:

yes

Step-by-step explanation:

yes thank you this is helping me a lot

what is the rule for the reflection?

Answers

Use a mirror of course and make sure they are cemetricle

Answer:

hey user!

your answer is here...

laws ( rules ) of reflection are :-

• angle of incidence is equal to angle of reflection.

• the incident ray, Normal ray and reflected ray all lie in same plane.

cheers!!

Step-by-step explanation:

2. Solve the following equations for 0° Sx < 180°.
(i) cosec(x+10°) = 3
(ii) cot(x - 30°) = 0.45 .

Answers

Answer:

See below in bold.

Step-by-step explanation:

(1) cosec ( x + 10) = 3

Now cosec x = 1/sin x so

1 / sin (x + 10) = 3

3 sin (x + 10) = 1

sin (x + 10) = 1/3

x + 10 = 19.47 , 160.53 degrees

x = 9.47, 150.53 degrees.

(ii) cot (x - 30) =0.45

cot (x - 30)= 1 /tan (x- 30) so we have

tan (x - 30) = 1 / 0.45 = 2.2222

x - 30 = 65.77 degrees

x = 95.77 degrees.

Final answer:

To solve the given equations, we need to find the values of x between 0° and 180°. For the equation cosec(x+10°) = 3, we solve for sin(x+10°) = 1/3. For the equation cot(x-30°) = 0.45, we solve for tan(x-30°) = 1/0.45.

Explanation:

(i) To solve the equation cosec(x+10°) = 3, we need to find the value of x between 0° and 180°. To do this, we can use the reciprocal identity for cosecant: csc(x) = 1/sin(x). Therefore, csc(x+10°) = 1/sin(x+10°). Solving for sin(x+10°), we have sin(x+10°) = 1/3. From the unit circle, we know that the sine function is positive in the first and second quadrants. So, we need to find the values of x+10° between 0° and 180° where sin(x+10°) = 1/3.

(ii)To solve the equation cot(x-30°) = 0.45, we need to find the value of x between 0° and 180°. The cotangent function is defined as cot(x) = 1/tan(x), so cot(x-30°) = 1/tan(x-30°). Solving for tan(x-30°), we have tan(x-30°) = 1/0.45. From the unit circle, we know that the tangent function is positive in the first and third quadrants. So, we need to find the values of x-30° between 0° and 180° where tan(x-30°) = 1/0.45.

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Which number line represents The solution set for the inequality -1/2x>4?

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

the last one

12+9 2Divided by three

Answers

Answer:

7

Step-by-step explanation:

12+9=21

21 divided by 3 is 7

Use the point-slope formula to write an equation of the line that passes through (2,11) and has a slope of m= -3 . Write the anwser in slope-intercept form

Answers

Answer:

all work is shown and pictured

7. ALGEBRA Michelle Hong noticed that her gross pay per
period increased by $2,800 when her employer changed from a
bi-weekly pay plan to a monthly pay plan. What is Michelle's
annual salary?

Answers

Bi weekly is a check every 2 weeks, so she would get 26 checks per year.

Monthly would be 12 checks per year.

When she gets paid monthly her pay increased by $2,800 each check.

Let x be one bi-weekly paycheck.

12(x+2800) = 26x

12x +33600 = 26x

Subtract 12x from both sides

33600 = 14x

Divide both sides by 14:

x = 33600/14

x = 2400

Her pay increased by 2800 each period:

2400 + 2800 = 5200 per check.

5200 x 12 months = 62400

Her annual salary is $62,400

Final answer:

Michelle's annual salary is $179,200, calculated by first understanding the pay period change from bi-weekly to monthly and then multiplying the additional $2,800 monthly increase by 12 to add to her bi-weekly annual salary.

Explanation:

Michelle Hong's gross pay per period increased by $2,800 when her employer switched from a bi-weekly pay plan to a monthly pay plan. To find Michelle's annual salary, we need to understand the terms of her payment cycle changes. On a bi-weekly plan, there are 26 pay periods per year since there are 52 weeks in a year. Under a monthly plan, there are 12 pay periods per year.

First, we calculate the pay for two bi-weekly periods: $2,800 x 2 = $5,600. This is because a bi-weekly pay period should be roughly half of the monthly pay since there are two bi-weekly periods in a standard month. Next, we will calculate the annual salary: $5,600 x 26 = $145,600. This is Michelle's annual salary on a bi-weekly pay plan.

For the monthly pay plan, we would simply take the increased pay of $2,800 and multiply by 12 months to find the annual salary: $2,800 x 12 = $33,600. This is the additional amount she earns by switching to the monthly plan. To find her total annual salary, we add this to her original annual bi-weekly salary: $145,600 + $33,600 = $179,200.

Therefore, Michelle's annual salary on the monthly pay plan is $179,200.

I can't seem to figure out this problem -4q + 9 = 7q - 31 ​

Answers

Answer:

q = 3.636363636 repeating

Step-by-step explanation:

  - 4q + 9 = 7q - 31

   + 4q      + 4q

     9 = 11q - 31

  + 31         + 31

      40 = 11q

      [tex]\frac{40}{11} = \frac{11q}{11}[/tex]

Answer:

[tex]\large\boxed{q=\dfrac{40}{11}}[/tex]

Step-by-step explanation:

[tex]-4q+9=7q-31\qquad\text{subtract 9 from both sides}\\\\-4q+9-9=7q-31-9\\\\-4q=7q-40\qquad\text{subtract }\ 7q\ \text{from both sides}\\\\-4q-7q=7q-7q-40\\\\-11q=-40\qquad\text{divide both sides by -11}\\\\\dfrac{-11q}{-11}=\dfrac{-40}{-11}\\\\q=\dfrac{40}{11}[/tex]

What is the expression for 23 divided into y

Answers

Answer:

The answer is 23/y

Step-by-step explanation:

This is because the question is asking 23 divided into y. So, your answer is 23/y. I hope tis helps, I am sorry if it is wrong.

The expression for 23 divided into y is written as y / 23, which signifies dividing y by 23 into equal parts.

The expression for 23 divided into y is y / 23. This represents a division operation where y is being divided by 23. To explain this concept further, imagine you have y amount of something, and you want to divide it into 23 equal parts; the amount in each part is represented by the expression y / 23. This operation is fundamental in algebra and helps understand how to express the division of variables and constants.

An example to illustrate this could be if y is equal to 46, then 46 divided by 23 would give us 2. This means each of the 23 parts has a value of 2.

URGENT: WILL MARK BRAINLIEST

Answers

Good evening ,

______

Answer:

The second table.

___________________

Step-by-step explanation:

Look at the photos below for the answer.

:)

the answer to your question is Choice B

Solve for x: 5x + 2 = 4x − 9. (1 point)

Answers

Answer:

x = -11

Step-by-step explanation:

5x + 2 = 4x - 9

-2            -2

5x = 4x - 11

-4x   -4x

x = -11

Explain how you know -5 and 1/5 are multiplicative inverse? I’m very stuck on this and need to get this math done

Answers

Answer:

they are multiplicative inverses because to find the inverse of a number you change it from positive to negative or vice versa, and you have to change it to it's inverse. to do this you have to put it in fraction form if it isn't already (so 5 would be 5/1) and flip it (5/1 flipped would be 1/5)

Step-by-step explanation:

They are reciprocals, that is why they are multiplicative inverse.

What is Multiplicative inverse ?

If we have a number, then reciprocal of that number is called multiplicative inverse of the number.

Example : If m be a number then 1/m is its multiplicative number.

How to elaborate the problem ?

Here the number be -5.

Reciprocal of this number is -1/5

We know that reciprocal of a number is called multiplicative inverse.

So, -5 & -1/5 are multiplicative inverse of each other.

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An athlete buys a baseball bat and pays a fee for each baseball lesson taken. The fee for each lesson is the same. The number of lessons taken is unknown. The expression 25c + 75 represents the total paid for the baseball bat and the lessons. What does the term 25c represent?
Question 1 options:
The price of the baseball bat.
The difference between the cost per lesson and the cost of the baseball bat. The cost of the lessons taken.
The total price paid.

Answers

Answer:

The cost of the lessons taken

Step-by-step explanation:

Let

y -----> the total paid for the baseball bat and the lessons

c ----> the number of lessons

we have

y=25c+75

This is a linear equation in slope intercept form

y=mx+b

where

b=$75 -----> the price of he baseball bat (y-intercept)

m=25 $/lesson ----> the slope of the linear equation

therefore

25c represent the cost of the lessons taken

Other Questions
Enter your answer in the provided box. Calculate the composition of the following solution in mass/volume % 0.600 g NaOH per 2.00 mL % NaOH According to one theory of psychology, many people have mental illnessesbecause their maladaptive behaviors have proven rewarding for them in the pastand thus have been continued. This belief is consistent with which of thefollowing models?(a) Behavioral(b) Biological(c) Cognitive(d) Psychodynamic(e) Sociocultural 2. There are two major kinds of cameras on the market right now for amateur photographers. Cameraenthusiasts can either purchase a digital single-lens reflex camera (DSLR) camera or a compact systemcamera (CSC). The main difference between a DSLR and a CSC is that the DSLR has a full-sized sensor,which means it fits in a much larger body. The CSC uses a mirrorless system, which makes for a lighter,smaller camera. While both take quality pictures, the DSLR generally has better picture quality due tothe larger sensor. CSCs still take very good quality pictures and are more convenient to carry than aDSLR. This makes the CSC an ideal choice for the amateur photographer looking to step up from a point-and-shoot camera.The main difference between the DSLR and CSC is:a. The picture quality is better in the DSLRb. The CSC is less expensive than the DSLRc. The DSLR is a better choice for amateur photographers.d. The DSLR's larger sensor makes it a bigger camera than the CSC. What was the three- fifths compromise? When iron(II) chloride reacts with silver nitrate, iron(II) nitrate and silver chloride are produced. The balanced equation for this reaction is: FeCl2 (aq) + 2AgNO3(aq) --> Fe(NO3)2(aq) + 2AgCl(s) Suppose 2.86 moles of iron(II) chloride react. The reaction consumes moles of silver nitrate. The reaction produces moles of iron(II) nitrate and moles of silver chloride. Submit Answer & Next carbon atoms stick to catalyst surface in craking processes ? 1- sintring 2- poising 3- aging 4- cocking or fouling Coach Smith went to the sporting goods store to get ready for tennis season. He bought 25 containers of tennis balls and 12 packs of grip tape. Sales tax is 5%. How much does Coach Smith owe? Tennis Ball Containers, each $5.75 Packs of Grip Tape, each $2.50A) $185.00 C) $182.44 B) $180.75 D) $173.75 Which factor is not a characteristic of a mineral? a variable chemical composition crystalline structure that forms a geometric shape naturally occurring, inorganic substance always a solid; never a liquid or a gas What are the principal sedimentary rocks? What is the genesis (origin) of each sedimentary rock type? Consider the line which passes through the point P(1,1,2), and which is parallel to the line x=1+5t,y=2+2t,z=3+3t Find the point of intersection of this new line with each of the coordinate planes: Company A charges $331.35 per week for a compact car with unlimited miles. Company B charges $175 per week plus $0.53 per mile, for the same car. How many miles must be driven in a week so that company A is a better deal than company B? Quitor Inc., which is based in the U.S., contracts with Falconnien Suppliers, a small-scale supplier in Taiwan, to manufacture its computers and tablets across the world. This strategy by Quitor Inc. is an example of _____. a) joint venture b) franchising c) exporting d) foreign outsourcing Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.y= -x + 5 y= x - 3 Cell structures that provide energy to the cell are called When a honey bee stings or a pathogen attacks, the body elicits an inflammatory response. Label the processes that happen during an inflammatory response. Read the chart.HOMOPHONEChoose the correct homophones to complete the sentence.Jiya went to the shop the dentist's office tomaterials for her project.MEANINGbeside or nearto purchase somethingexpression that is short for goodbyebuybyeby, buybye, byby, byebye, buy Sonia and Brigitte are coworkers. Sonia is almost always 20 minutes late to work. Brigitte says that Sonia is always late due to her careless and laidback attitude. In the context of understanding individual behavior, Brigitte has made a(n) _____ about the reason for Sonia's unpunctuality Argon, which comprises almost 1% of the atmosphere, is approximately 27 times more abundant than CO 2, but does not contribute to global warming. Which explanation accounts for this fact? The steam generator in a sodium-cooled reactor power plant receives sodium at the rate of 10 x 106 lbm/hr. The sodium temperatures are 600 and | 1000F. 800F steam is generated at 1,000 psia from feedwater at 340F necessary reactor output in Mw(t) Assuming no heat losses, find the temperature difference at the pinch point in the generator. (ep for Na = 0.3.) Simplify this equation