Find the area under the curve y = 1/x^2 between the ordinates x=1 and x=5

Answers

Answer 1

Answer:

The area is -6/5 units

Step-by-step explanation:

We start by integrating the curve equation

1/x^2 = x^-2

So the integration will be;

x^-2+1/-2 + 1 = -1/x + k

So we have the area as;

-1/5 -1 = (-1 - 5)/5 = -6/5

-


Related Questions

A football team won 8 games last year. This year, the team won 10 games. What was the percent increase in the number of games won?

Answers

Answer:

8

Step-by-step explanation:

8÷10×100

¤8<●♤547764323355

8.5675859

rational or irrational ?

Answers

Answer: irrational

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

Solve using the quadratic formula: -16x^2-4x + 382

Answers

Answer:

Step-by-step explanation:

[tex]x=\frac{- b+ \sqrt{b^{2}-4ac} }{2a}[/tex]   [tex]x=\frac{- b- \sqrt{b^{2}-4ac} }{2a}[/tex]        

x=-5, 4.7

What is the largest data when referring to data and statistics? Word Bank: Mean, Median, Mode, Range, Quartile, Interquartile Range, Minimum, Maximum *

Answers

The maximum is the largest data when referring to data and statistics.

Reason behind it: the word “max” is in the vocabulary meaning the max range within the data set.


Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.

Hint: Use areas of triangles...A=1/2bh

Answers

Answer :

[tex] \underline{ \boxed{x = \frac{2(A_T) }{(AB) + (AC) + (BC)} }}[/tex]

Explanation :

[tex]i \: figured \: it \: out \to \: notice \: that \\ there \: are \:( thre e\: trianges) \: in \: triangle \: ( ABC) \\ and \: they \: all \: have \: the \: same \: height \: = x \\ first \: triangle \: is \: \to \: triangle \: (ABD) \\ second\: triangle \: is \: \to \: triangle \: (ACD) \\ third \: triangle \: is \: \to \: triangle \: (BCD) \\ if \: the \: area \: of \: a \: triangle \: is \: = \frac{1}{2} bh : then \to \\ the \: area \: of \: triangle \: (ABD) = \frac{1}{2} (AB)x \\ the \: area \: of \: triangle \: (ACD) = \frac{1}{2} (AC)x \\ the \: area \: of \: triangle \: (BCD) = \frac{1}{2} (BC)x \\ let \: the \: total \: area \:(A_T) \: be \to \: \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ if \to\\ (A_T) = \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ then \to \\ (A_T) = \frac{1}{2} \{(AB)x + (AC)x + (BC)x \} \\ x \{(AB) + (AC) + (BC) \} = 2(A_T) \\ x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

 Expression representing the length 'x' will be, [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].

In-center of a triangle,In-center of a triangle defines the center of a circle inscribed in the triangles (touching all sides),Perpendicular drawn from in-center to the sides of the are equal in measures (radii of the inscribed circle).

Use the hint → Area of the large triangle = sum of the small triangles inside the larger triangle

Area of ΔABC = [tex]\frac{1}{2}(AB)(AC)[/tex]

Area of ΔADC = [tex]\frac{1}{2}(AC)(x)[/tex]

Area of ΔBDC = [tex]\frac{1}{2}(BC)(x)[/tex]

Area of ΔADB = [tex]\frac{1}{2}(AB)(x)[/tex]

Since, Area of ΔABC = Area of ΔADC + Area of ΔBDC + Area of ΔADB

[tex]\frac{1}{2}(AB)(AC)=\frac{1}{2}(AC)(x)+\frac{1}{2}(BC)(x)+\frac{1}{2}(AB)(x)[/tex]

[tex](AB)(AC)=[(AC)+(BC)+(AB)](x)[/tex]

[tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex]

    Therefore, expression representing the length 'x' will be [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].

Learn more about the in-center of a triangle here,

https://brainly.com/question/4535136?referrer=searchResults

You want to cook some desserts for your 10 friends within 2 hours. It will take you 15 minutes to make a waffle and 5 minutes to make a chocolate cookie. Write a system of inequalities to express this situation. What is the most possible number of waffles you can make and still meet the requirements ? waffles

Answers

Answer: 7 waffles

Step-by-step explanation: trust me pls. you have a total of 120 minutes. 7 waffles takes you 105 minutes, and the remaining 15 minutes can be spent on 3 cookies.

-3w-4=3+3

w=?????????

Answers

Answer:

-3.33333

Step-by-step explanation:

-3w - 4 = 3 + 3

Combine like terms

-3w - 4 = 6

Add 4 on both sides

-3w - 4 + 4 = 6 + 4

-3w = 10

Divide by -1 to isolate the variable

-3w/-3 = 10/-3

w = - 3.33333 ( the 3 keeps repeating)

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.

What is the total number of students in Ms. Cunningham’s class?

Answers

Answer:

30

Step-by-step explanation:

18 / 3 = 6

6 x 2 = 12

18 + 12 = 30

Find the area of the figure.
A. 50 ft^2
B. 41 ft^2
C. 42 ft^2
D. 38 ft^2

Answers

Answer:

I'm pretty sure its A

Step-by-step explanation:

Answer: The answer is 38ft^2

Step-by-step explanation:

3 x 10 = 30

6 - 10 = 4

5 - 3= 2

4 x 2 = 8

30 + 8= 38

Answer: 38ft^2

Giving a whole lot of points:)

Answers

I wanna say the bottom right. Sorry if it’s wrong. And thank you for the points, I really need em’.

Answer:

this is kinda old so free points ig

Step-by-step explanation:

What is the sum of the measures of the interior angles of a 7-gon?

Answers

Answer:

900°

Step-by-step explanation:

What is the sum of the measures of the interior angles of a 7-gon?

The formula to measure the interior angles of a polygon

= (n- 2) × 180 °

Where,

n = number of sides

We are given 7 - gon

This means it has 7 sides = Heptagon

Hence,

The measure of the interior angle is given as:

(7 - 2) × 180°

= 5 × 180°

= 900°

The sum of the interior angles of a 7-gon is 900°

A cable company charges 150 to install equipment. Then there is a $50 charge each month.What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month.

Answers

200 for 1 month. ..............

A dolphin is 20 feet below sea level.
Write an integer to represent the situation.

Answers

Answer:

-20

Step-by-step explanation:

Below means negative

A granola recipe calls for 2 1/3 (mixed number 2 and 1/3) cups of almonds. A bag of almonds contains 2 cups. To make 2 1/2 (mixed number 2 and 1/2) batches of granola, Ali buys 5 bags of almonds. How many cups of almonds will he have left over?

Answers

Answer:

4 1/6 cups of almonds left

Step-by-step explanation:

Granola recipe = 2 1/3 cups of almonds

2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2

= 2 1/3 × 2 1/2

= 7/3 × 5/2

= (7*5)/(3*2)

= 35/6

= 5 5/6 cups of almonds

A bag of almonds = 2 cups

5 bags of almonds = 10 cups

Cups of almonds left = 10 cups - 35/6 cups

= 60-35/6

= 25/6

= 4 1/6 cups

PLEASE HELP THIS IS DUR SOON

Answers

Answer:

1 3/4

Step-by-step explanation:

We can set the length of the rectangle to l. We can make an equation with the area because we know length*width = area.

l*(4/5) = 7/5

4l = 7

l = 7/4 = 1 3/4

Johnny and Mark's combined age is 26 years old. Johnny is two years older than twice Mark's age. Write a system of equations and solve for each of their ages

Answers

m * 2 + 2 = j

Answer:

Mark is 8

Johnny is 18

Step-by-step explanation:

m * 2 = j - 2

26 - 2 = 24

24 / 3 = 8

8 * 2 + 2 = 18

help help help help help help help help help

Answers

Answer:

Exact Form: 3/2

Decimal Form: 1.5

Mixed Number Form: 1 1/2

5
Kate started with a piece of bubblegum that was in wide. She later blew a bubble that was 2- in wide.
7
8
How much wider was Kate's bubble than the original piece of bubblegum?
inches

Answers

Answer:

1

Step-by-step explanation:

you didnt put anything thier so im jsut guessing

The graph shows the amount of money Miguel earns after working x hours.



What is the rate of change of the amount earned with respect to hours worked for this function?

hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
What is the slope of the line?

−3


3

Answers

Answer:

13 dollars

and slope is 3

Step-by-step explanation:

Example: At a baseball game, Henry bought 3 hotdogs and a bag of chips for $14. Scott bought 2 hotdogs and a
bag of chips for $10. Each of the boys paid the same price for their hotdogs, and the same price for their chips. The
following system of equations can be used to represent the situation. Determine the best method to solve the system
of equations. Then solve the system.

Answers

Answer:

h = $4 a hotdog

c = $2 bag of chips

Step-by-step explanation:

3h + c = 14

2h + c = 10

3h + c = 14

-2h - c = -10

h = $4 a hotdog

2(4) + c = 10

8 + c = 10

c = $2 bag of chips

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars
in tips.

Answers

Answer: 3h + 0.9s

Step-by-step explanation:

90% is the same as 0.9 of..

Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Suzy have?





Please show your work :)

Answers

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

Find the area of a circle with radius 4ft.

Answers

Answer:

A=50.27

Step-by-step explanation:

Jina is running. The number of minutes she has run varies directly with the number of calories she has burned. See the graph below.

How many calories is Jina burning per minute ?

What is the slope of the graph ?

Answers

She burns 5 calories per minute and the slope is 1/2

Everything is in the picture please help me.

Answers

Answer:

62.5%

Step-by-step explanation:

There are a total of 8 options.

We are trying to get 5 of the 8.

5/8 = 0.625 = 62.5%

SOMEONE HELP ASAP IM BEGGING U PLEASE !!

Answers

Answer:

I believe it is yes because he is correct

He is incorrect; it should be +40. move 2y over to the opposite side of the equation, then divide both sides by 2.

plz help me with this

Answers

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg

Answers

Answer:

1 5/8

Step-by-step explanation:

Write the number as a percent.
1/5

Answers

Answer:

1/5 = 20%

Step-by-step explanation:

Let x be the percentage.

[tex]\frac{1}{5} * \frac{x}{100}[/tex]

100 = 5x    Cross multiply

x = 20%

Hope this helps!

Answer: 20%

Step-by-step explanation:  1/5=0.2     0.2x100=20    20%

What number is 40% of 160?

Try to explain

Answers

Answer: 64

Step-by-step explanation:

40% of 160

40/100 x 160

6400/100

64

Did I explain this well?

Answer: 64

Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.

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