Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()

Answer:

stuff

Step-by-step explanation:

180-72 = 108

a2 = 108º

a3 = 108

a4 = 72

a4+a6 = 180 so

a11+a13 + 180...

Answer:

See below

Step-by-step explanation:

What is the rise from point A to point D?

What is the run from point A to point D?

Write the fraction of rise over run from A to D (reduce if possible)

Find the rise from Point C to point B.

Find the run from Point C to Point B.

Write the fraction of rise over run from C to B.

Does the line have a positive or negative slope?

What is the slope of line AD?

Answer:

90 bikes.

Step-by-step explanation:

The bike store earns:

(120-80) = 40 dollars per bike sold.

Hence, to break even, the store must sell:

3600/40 = 90 bikes per month.

Hope this helped!

Answer:

5/8x+1/2x-4=5

or, 5(2x-4)+8x= 5

or, 10x- 20+8x=5

or, 10x-8x= 20+5

or, 2x= 25

or,x= 25/2

:.x= 25/2

Step-by-step explanation:

first we have to make denominator then we can criss cross multiply. we can make in same point .if there is plus we can subtract and if there is front minus if we take it back it must be plus. then we can put same point then we can divide

Answer:

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

Step-by-step explanation:

We want to represent the value of this number using expanded notation

Mathematically, that will be;

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

= 300,000 + 0 + 4000 + 0 + 50 + 6

= 304,057

Answer:

I couldn't find out how many hours Michael worked but the total amount is $1504.50

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

Answer:

What the question? I'm confused.

Answer:

what?????

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Step 1: Put the variables and constants on the same side and change their signs so it'll look like this 5x-2x = 28 - 7, you always move the smaller number to either the left or right depending on its position in the problem.

Step 2: solve each side normally like this, 3x = 21

Step 3: to get x by itself divide 3 on both sides and you should get x=7

Here's a run through of the steps

5x+7=2x+28

   -7       -7(subtract 7 from both sides

5x=2x+28-7

-2x   -2x(subtract 2x from both sides)

5x-2x=28-7

3x=21

3x/3 = 21/3 (divide 3 from both sides)

x=7

Answer:

C

Step-by-step explanation

Answer:

C.)

Step-by-step explanation:

First, let's make it so that 6/8 and 4/5 have the same denominator.

Find the LCM: 40

8 ÷ 40 = 5

5 ÷ 40 = 8

Now that we have this info, let's convert the numerator to match the denominator.

4/5:

4 × 8 = 32

So... 4/5 = 32/40

6/8:

6 × 5 = 30

So... 6/8 = 30/40

Now let's add:

30/40 + 32/40

30 + 32 = 62

Therefore: 62/40

Now let's add those whole numbers: 5 + 4 = 9

Our answer: 9 62/40

Let's simplify: 10 22/40

Therefore, C is the correct answer.

Answer:

16

Step-by-step explanation:

2 times 2 = 4 times 4= 16 times 1= 16

Answer:

16

Step-by-step explanation:

It's c (48)

because if you divide all of them its 3

Answer:

Step-by-step explanation:

Step one:

given data

First tree

the tree is 8cm tall

and 30cm from the vanishing point

Third  tree

let the tree be x cm tall

and 20cm from the vanishing point

Step two:

if 8cm tree will be 30cm at the vanishing point

then x cm tree will be 20cm at the vanishing point

cross multiply we have

x= (20*8)/30

x=160/30

x=5.3cm

The third tree is 5.3cm tall

Answer:

the answer is

Step-by-step explanation:

15+8/4=8

15+8=32

32÷4=8

Answer:

15+18/4=8.25

Step-by-step explanation:

if u divide 33 by 4

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

∂r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

Step-by-step explanation:

1.)you find

f(g(x))

2)set up the composition function and evaluate

f(2x+4) = -12x - 19

Answer:

Step-by-step explanation:

Freezing is 32 degrees F.

32-9= 23 degrees F.

Answer:

Each dress would cost 72

Step-by-step explanation:

36% of 200 is 72

Answer: I'm not sure If i'm right because I did this since 8th grade.

For number 7, I think it would be (the equation form)= 6 x  +  16

For number 8, I think it would be nothing because there is no solution.

Hope this helps:)

Answer:

16m per second

Step-by-step explanation:

Answer:

16 m/sec

Step-by-step explanation:

Formula

S = d/t

s = 800/50

s = 16 m/sec

The number of books that can be fit on a shelf is 1 meter long and will be 40.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

0.125 pounds of blueberries

Step-by-step explanation:

Trust me

Answer:

1/8

Step-by-step explanation:

1 1/4=1.25

1.25/10=0.125

0.125 in the simplest fraction form is 1/8

hope this helps :3

if it did pls mark brainliest

Answer:

Maybe 3 because 2*9=x+15

So 18=x+15

So x=3

Am not sure

Answer:

3 because 2*9=x+15

So 18=x+15

So x=3

Step-by-step explanation:

Answer:

Point slope form: y-y₁=m(x-x₁)

Slope-Intercept form is y=mx+b....

Slope formula is m=y-y/ (over) x-x

Step-by-step explanation:

Answer:

18p + 6w

Step-by-step explanation:

I don't speak Spanish so here is some way I can explain it

No hablo español, así que aquí hay una forma de explicarlo.

using distribute property, get 2(8p) + 2(3w) = 18p + 6w

Answer:

[tex]16p + 6w[/tex]

STEP BY STEP

(8P+3W)2

=(8P+3W)(2)

=(8P)(2)+(3W)(2)

=16P+6W

Answer:

answer and explanation below

Step-by-step explanation:

that means 2/5 is 1000 so 1/5 is 500 so 500times 3/5 is 500 times 3

so galaxy=1,500 and iphone=2,500 and 1,500/2,500 gets reduced to 3/5 so it is rigth

Answer:

The area of given figure is: 179.3

Step-by-step explanation:

The figure consists of a rectangle and a semi-circle

The length of rectangle is 14 and width is 10.

The width of rectangle is also the diameter of the semi-circle.

So,

d = 10

[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]

Area of Semi-Circle:

[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]

Area of Rectangle:

[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]

The total area will be the sum of area of rectangle and the area of semi-circle

So,

[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]

Rounding off to nearest tenth

The total area is: 179.3