Find the area of the region bounded by y=1/x^2, y=4, and x=5. Use any method/

Answers

Answer 1

Answer:

81/5

Step-by-step explanation:

See image.

I always think drawing these out helps.

I had to find lower limit for x by finding when 1/x^2=4

x^2=1/4

This implies x=1/2 since in the picture x is positive.

We need to evaluate

Integral( 4 - 1/x^2 , from x=1/2 to x=5)

Or

Integral( 4 - x^-2 , from x=1/2 to x=5)

=4x+x^-1 ] from x=1/2 to x=5

(4×5+5^-1)-(4×1/2+(1/2)^-1)

(20+1/5)-(2+2)

20-(2+2)+1/5

20-4+1/5

16+1/5

81/5

Find The Area Of The Region Bounded By Y=1/x^2, Y=4, And X=5. Use Any Method/

Related Questions

I need answers to all please

Answers

Answer:

Step-by-step explanation:

2a.x=10+5

b. x=11-7

C. x=5*2

Answer:

a. x-5=10

x=10+5

x=15

b. x+7=11

x=11-7

x=4

c. x/2=5

x=5*2

x=10

d. 4x=24

x=24/4

x=6

find the surface area of each figure. Round your answer to the nearest tenth if necessary.​

Answers

Answer:

556

Step-by-step explanation:

Surface area of the cuboid=2*(lb+bh+lh)

Surface area=2*(110+80+88)=556

Can someone plz help me

Answers

Answer:

37500

Step-by-step explanation:

pattern is multiplying by -5.

-7,500*-5 = 37,500

Have a nice day! :-)

Please help me solving this problem.

Answers

(a) The radius of the circle is the distance the wave travels since it first formed, so if g(t) is the radius of the circle at time t, then it changes at a rate according to

dg/dt = 60 cm/s

Integrate both sides with respect to t to solve for g :

∫ dg/dt dt = ∫ (60 cm/s) dt

g(t) = (60 cm/s) t + C

but C = 0 since the radius at t = 0 must be 0.

g(t) = (60 cm/s) t

(b) The area of any circle with radius r is πr ². So

f(r) = πr ²

(c) The composition of f with g represents the area of water encircled by the wave at time t :

(f o g)(t) = f(g(t)) = π g(t) ²

Is -6/11 a irrational number?

Answers

Answer:

No

Step-by-step explanation:

One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.

-6/11 is a fraction with integer numerators and denominators.

Therefore it is rational.

Need help nsjsisjejskskkdof

Answers

Answer:

8×4=32 and 8 groups of 4 equals 32.

Find the arc length of the partial circle.

Answers

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Mark Brainliest please

Answer : Arc length (L) = 12.56637

What is the number of the parking space covered by the car?

Answers

The answer is 87 it is upside down

Answer:

The answer is 87

Step-by-step explanation:

Because the parking space are number from 86 to 91

From 86 they add 1 to every number

Use the table to find an quadratic equation of best fit.

Answers

Answer:

[tex]y = 5 {x} + 1[/tex]

when x is 0:

y = 5(0) + 1

y = 1 ( 5th box )

when x is 1:

y = 5(1)+1

y = 6 ( 6th box )

hence true for other values

Answer:

y=0.6x2+5x+1.1

Step-by-step explanation:

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Practice Problems
Lance and Dimetri are playing a marble game. According to their rules, 3 points are awarded for
each red marble collected and 2 points are awarded for each green marble collected.
The number of points per player is found using the following expression:
3r + 29
How many points would be given for 5 red and 6 green marbles?

PLEASE QUICK I WILL GIVE 5 stars

Answers

15 red marbles
12 green marbles
15+12 = 27 marbles in total

Help me out please i need this

Answers

Answer:

Just restart your computer

x-1/x > 1/2
(x>0;x>1)

Answers

Step-by-step explanation:

its on the picture.........

convert the following fraction into decimals 3/8​

Answers

Answer:

0.375

Step-by-step explanation:

Hope this helps!

Answer:

0.375

Step-by-step explanation:

Dividing:

8)3.000(0.375

   24

      60

      56

         40

          40

           ..

What is the answer to P(4)=4n + 5

Answers

Answer:

P(x) = 4n+5

P(4) = 4(4)+5

P(4) = 16+5

P(4) = 21

The answer is 21.

Let me know if this helps!

The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.(please help)


1. What would be the floor plan of the building? Label the diagonal braces



2. Find the dimensions of the new factory



3.Find the perimeter of the new factory


4.the yogurt machines will be placed along the wall of the new factory . Each machine is 10 feet wide.

Find the company fit 40 of the machines in the building Why or Why not ?

Answers

Answer:

1.  see attached diagram

2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

3. The perimeter is 300 sqrt(2) ft

4. cannot fit 40 machines along the walls

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

The perimeter of a square is given by

P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft

The perimeter is 300 sqrt(2) ft

Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft  so you can fit 10 along the wall

Putting them along the top and bottom walls = 20 machines

We are only left with 86 ft along the side walls

86/10 = 8 machines  

machines * 2 walls = 16

We can fit 20+16 machines = 36 machines not 40

What is an expression involving division that is equivalent to the expression below?
2/9 x 3/4

Answers

Answer:

2/9 ÷ 4/3

Step-by-step explanation:

PLEASE HELP ME!. I will give thanks, 5 star rating, and brainly to the most helpful answer, and I will report unrelated answers, so don't try me.


Three vertices of a parallelogram are (0,1), (2,0), and (2,5). Label all the possible location(s) of a fourth vertex.

Answers

Answer:

(0, 6), (4, 4), and (0, -4)

Step-by-step explanation:

basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.

please please please help me with this assignment :)

Answers

Answer:

$45.63

Step-by-step explanation:

[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]

or all together    

50,145 cm³  *  2.6 g/cm³ * 0.35/kg =  $45.63


Charlene is a salesperson. Let y represent her total pay (in dollars). Let x represent the number of
items she sells. Suppose that x and y are related by the equation y=32x + 1900.
What is Charlene's total pay if she doesn't sell any items?
A. $32
B. $1,900
C. $3,200
D. $19

Answers

1,900
Multiply 32 by 0, and you get y=1,900

What is the volume of a sphere with a diameter of 7.7 ft, rounded to the nearest tenth
of a cubic foot?

Answers

Step-by-step explanation:

V=4/3πr^3

V=4/3π(3.85)^3

V=4/3π(57.066625)

V=4/3 (179.280089865)

V=239.04011982

V=239 ft^3

What was the most common rating in the 26-35 age group?
nal
Is
OA Excellent
ОВ.
Good
OC. Average
OD
Poor
O E both Average and Poor

Answers

Answer:

I think its average

Step-by-step explanation:

not sure:)

Answer: it is average

Step-by-step explanation: just done It

1st point: (1,2)
2nd point: (4,4)

Answers

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

i found the slope using [tex]\frac{rise}{run}[/tex]. so it would be 2/3. next i just kinda tested similar numbers in the graph to find b.

if you aren't allowed to put factions i would say put:

y = 0.67x + 1.33

Answer:

[tex]2x - 3y + 4 = 0[/tex]

Step-by-step explanation:

The formula of finding equation of two different point is

[tex] \frac{x - x1}{x1 - x2} = \frac{y - y1}{y1 - y2} [/tex]

here, x1 =1, x2=4, y1= 2 and y2= 4

hope you can understand.

Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the point (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school

Answers

-1,5 is the correct answer here. 0+2, 4-4 then 2-3 0+5.

Find the difference and simplify your answer correctly
7/12-2/5

Answers

Answer:

Step-by-step explanation:

7/12-2/5

We will find the LCM of it to make the denominators same.

Which is 60

Now to make denominators same

7/12×5/5

= 35/60

2/5×12/12

= 24/60

Now using these like values

35/60-24/60

= 11/60

The fraction is already in lowest terms

Must click thanks and mark brainliest

3.) Find the measure of the missing angle X:

120°
70°

Answers

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer always, sometimes, or never

Answers

Answer:

9. Always

10. Never

11. Always

12. Sometimes

Step-by-step explanation:

Natural numbers are any positive whole numbers (e.g. 1, 2, 3, 4….)Integers are any whole number, positive or negative (e.g. -2, -1, 0, 1, 2…)Rational numbers are any number that can be put into a fraction (or if it’s a decimal, a number that ends)Irrational numbers are any number that cannot be put into a fraction (like a never ending decimal; e.g. pi)Real numbers are any and all numbers (rational or irrationa)

Can someone help me on this please

Answers

Answer:

x=0,1,±2

Step-by-step explanation:

x^3(x^2-5)=-4x

x^2(x^2-5)=-4

Take x^2=a, we have

a*(a-5)=-4, a^2-5a+4=0, (a-1)(a-4)=0, a=1,4

x^2=0, 1, 4. x=0,1,±2

Answer:

x = 1 and x = 2

Step-by-step explanation:

[tex] {x}^{5} - 5 {x}^{3} = - 4x \\ {x}^{4} - 5 {x}^{2} + 4 = 0 \\ ( {x}^{2} - 4)( {x}^{2} - 1)=0[/tex]

x² = 4 or = 1

x = ±4 = -2 or 2x = ±1 = -1 or 1

Since x > 0, the negative integers are rejected and the solutions to this equations are x = 1 and x = 2

Darnell bought 6 packs of baseball cards. There were 6 cards In each pack. Darnell put all his cards in a card book. He put 9 cards on each page. How many pages of the card book did Darnell use ?

Answers

Answer:

Darnell used 4 of the pages.

Step-by-step explanation:

6 times 6 is 36, and 9 goes into 36 4 times. Therefore, if Darnell put 9 cards on every page, he used 4 pages.

Darnell bought 6 packs of baseball cards. There were 6 cards In each pack. Darnell uses 4 pages of the card book.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Darnell bought 6 packs of baseball cards.

There were 6 cards In each pack.

Darnell put all his cards in a card book. He put 9 cards on each page.

1 pack: 6 cards

6 packs: x cards.

x = 6 x 6

= 36

Darnell bought 36 baseball cards.

1 page: 9 cards

x pages: 36 cards

x = 36/9

= 4

Therefore, Darnell used 4 pages of his card book.

Learn more about the unitary method;

https://brainly.com/question/23423168

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convert 123000000 milligram into gram​

Answers

Answer:

123,000 grams

Step-by-step explanation:

1000 mg is equivalent to 1 gram.

Answer:

123000g

Step-by-step explanation:

1000mg=1g

123000000mg= xgrams

cross multiplying,

you'll have

[tex] \frac{123000000}{1000} = 123000[/tex]

given m||n, find the value of x

Answers

Answer:

17 =x

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+7 = 10x-10

Subtract 9x from each side

9x+7-9x = 10x-10-9x

7 = x-10

Add 10 to each side

7+10 =x-10+10

17 =x

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