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

Answers

Answer 1

Answer:

C

=

C

'

81

2

ln

9

Step-by-step explanation:


Related Questions

help me with this please! look at the picture!

Answers

Answer:

y= 125

Step-by-step explanation:

You can find all the other angles knowing a straight line is equal to 180 degrees. The middle pentagon all adds up to 540 degrees. Once you've found the other sides add them all up and subtract 540 from it and you get 55. Now you do 180-55 one last time to give you y and Y = 125

Answer: y = 125°

Step-by-step explanation:

1) As shown in the picture, I drew a circle for every intersecting point that indicated it would sum up to 360 degrees, so I could find the degrees inside the pentagon.

2) When I had all of the degrees inside the pentagon (except for the corner in the far right), I added all of them together to the sum of 485 degrees.

3) Since all of a pentagon's angles need to add up to 540°, I was left with this equation: 485° + __ = 540°

4) To find the last degree of the pentagon or fill in the blank, I subtracted 540° and 485° to get 55°. The degree in the far right of the pentagon was 55° degrees.

5) I had 55° and 180° to answer what y was. Then again, the circle of intersected lines should all add up to 360°. To get y, I added 55° and 180° to get 235° -- and subtracted 360° and 235° to get 125°.

6) Then, my final answer: y is 125°.

I finally got to answer after my hard work !!  

please help

Which linear regression equation best fits the given points?

(1, 0), (4, 5), (5, 12), (7, 16), (8, 25), (11, 22), (14, 32)




yˆ=25x+1.9

yˆ=−52x−1.9

yˆ=52x−1.5

yˆ=−25x+1.5

Answers

Answer:

I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)

Consider a square whose sides are of length x. Draw the largest circle that is completely contained within the square. Find the area of the region that is inside the square and but not inside the circle. Express your answer in terms of x and any other mathematical constants that may be necessary.

Answers

Answer:

A₁ = x²* ( 1 -  π /2)  square units

Step-by-step explanation:

Let´s call the area of the region that is inside the square but not inside the circle A₁

And the area of the square A(s)

And the area of the circle A(c)

Then  the area we are looking for is:

A₁  =  A(s) - A(c)

If the circle has a radius   r then

A(c) = π*r²

A(s) = x²

In the square diagonal of the square is d = √ x² + x²  ;  d = √2 * x

Half of this distance is  d/2 = (√2 /2)*x

There is a right triangle with points:

o The center of the square (which is the center of the circle)

a  Any of the corners of the square

b  Middle point of a side of the square

According to that

r the radius of the circle is:

r² + (x/2)²  = (d/2)²

r² + (x/2)²  = [ (√2 /2)*x]²

r²   =  (2/4)*x² - x²/4

r²   = (x²/2) - x² / 4

r²   = (1/2)*x²

r  =  x/√2

Then the area of the circle is

A(c) = π * r²

A(c) =  π * x²/2

And  A₁  = x² -  π * x²/2

A₁ = x²* ( 1 -  π /2)  square units  or   A₁ =[ ( 2 -  π)/2 ]*x²

If (7^0)^x = 1, what are the possible values of x? Explain your answer.

Answers

Hello,

What do you think of [tex]7^0[/tex] ?

It is 1

and what do you think of [tex]1^x[/tex]  ?

it is 1

and the solution of 1 = 1 ?

There is an infinity of solutions as 1 = 1 is always true.

thanks

What is the DOMAIN of the relationship shown here?
Write your answer in algebraic notation.
O 0 all x values
0-3 0 -3 sy 30
4
.3
-2
.
0
3
4
5
6
- 1
all y values
15
-
о
Sign out

Answers

Answer:

Step-by-step explanation:

All "x" values

x ∈ ( - ∞ , ∞ )

PLZ HELP ME WITH THIS!!! I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Yes, because if the answer needed to be negative then the two integers have to be negative since you are adding the both to get a negative response.

Step-by-step explanation:

if it was -5 + (-5) = -10 (negative)

Jordon is mixing water and flour to make a tortilla. The number of cups of water, W needed F cups of flour is described by the equation w= 0.75f

Answers

Complete question :

Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w = 0.75f

How many cups of water are needed to mix with 4 cups of flour?

Answer:

3

Step-by-step explanation:

Given the relation :

w = 0.75f

Where w = number of cups of water ; f = cups of flour

Cups of water needed to mix 4 cups of flour :

f = 4

w = 0.75(4)

w = 3

Hence, 3 cups of water is required to mix 4 cups of flour.

What is the probability that a randomly selected camper likes to have a cookout?

A.

B.

C.

D

Answers

Answer:

A. 0.04

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The correct option is A.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the camper likes to swim and let C be the event. that the camper likes to have a cookout. Therefore, the probability that a randomly selected camper likes to have a cookout is,

Probability = 0.04

Hence, the correct option is A.

Learn more about Probability:

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Patterns plz help I’ll mark brainliest

Answers

Answer:

you add 4 each time

Step-by-step explanation:

Answer:

Pattern is Input • 4 + 1

The table below shows the commission for selling cameras in a
shop for one month.
For the first 20 cameras
$150 total
For every additional camera
$15 per camera
John received a $1,110 commission by selling cameras last
month. How many cameras did he sell last month?
cameras

Answers

Answer:

84

Step-by-step explanation:

You first do 1,110-150= 960 dollars.

Then you divide 960 by 15 dollars = 64 cameras

So the first 20 cameras plus the 64 cameras equal 84 cameras.

Sry it’s hard to see but please answer hurry

Answers

Answer:

all of them....take -5, -5*5+8=-25+8,definitely negative....and if -5 is negative, other more extreme options are even more negative

Step-by-step explanation:

What is the quotient of 2 1/5÷6 3/5 in simplest form?

Answers

Answer:

The quotient for the problem 2 1/5÷6 3/5 in simplest form is 1/3.

Pls help ASAP due tonight

Answers

Y= -1/3x +5

5 is the y-intercept (where the line touches the y-axis) and -1/3 is the slope (rise over run, but since its negative, you go down 1, over 3 to the right) Hope this helps!!!

I will give brainliest ​

Answers

Answer:

4*4*4=64

Step-by-step explanation:

A cash register contains $20 bills and $100 bills with a total value of $1460. if there are 21 bills total, then how many of each does the register contain?

Answers

Answer:

ehf3rhg4urif4riufnur3ijf3irjurfnhnfhfn3rufni4ugn4rugnt4u :)

Step-by-step explanation:

Answer:

8 $20 bills

13 $100 bills

Step-by-step explanation:

x=# of $20 bills

y=# of $100 bills

x+y=21 --> y=-x+21

20x+100y=1460

20x+100(-x+21)=1460

20x-100x+2100=1460

-80x=-640

x=8

-8+21=13

y=13

Solve equation 3(c - 2)=15

What are two ways to start solving this equation? Choose BOTH ways

Answers

Let’s solve your equation from my knowledge theirs only one way to solve this.

Answer:

use the distributive property to get 3c -6 =15 and divide both side by 3 to get c - 2=5

Step-by-step explanation:

you can solve this equation using both these ways and if you do the process of elimination those two answers are the most accurate

It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?​

Answers

Answer:   43 messages

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

21.90/146=.15

6.45/.15=43

Write the equation of a line that is perpendicular to Y= 4 and that passes through (7,2)

Answers

Answer:

x = 7

Step-by-step explanation:

y = 4 is a horizontal line that passes through the point (0, 4).

A line perpendicular to y = 4 is a vertical line.

In a vertical line, all points have the same x-coordinate.

Since the point (7, 2) is on the vertical line we want, and its x-coordinate is 7, then x-coordinate of all the points on the line we want is 7.

Answer: x = 7

12(x-6)=2(x-9) solve the following equation

Answers

Answer:

x= 27/5

Step-by-step explanation:

for this equation in decimal form it would be 5.4

PLEASE HELP ASAP! Which of the following statements is true ?

x > z
x < z
x = z

Answers

Answer:

x < z is true

Answer:

x<z is true

Step-by-step explanation:

Write an equation in standard form that has a slope of -1 and passes through the point (-5, -1).

Answers

Answer:

x + y = -6

Step-by-step explanation:

Answer:

y = -x-6

Step-by-step explanation:

For this problem we use point-slope formula:

y-y1 = m (x2-x1)

When we plug in our values, it looks like this:

y-(-1) = -1 (x-(-5))

When we rearrange into slope-intercept form, we get this:

y = -x-6

HTH :)

What expression is equivalent to this equation?

Answers

Answer:

I think it’s d

Step-by-step explanation:

Answer: the right bottom corner

HOPE THIS HELPS !!

What is the measure of the third angle of a triangle if one angle measures 35 degrees and the second angle measures 40 degrees?

Answers

Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.

So let's first add up the measures of the two angles we know.

So we have 30 + 4 which is 75 degrees.

The missing angle will be equal to 180 minus 75.

So the missing angle measure is 105 degrees.

A file that is 251 megabytes is being downloaded. If the download is 19.6% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

50 megabytes

Step-by-step explanation:

19.6% of 251   is

19.6/100  x  251  = 49.196

rounded off = 50

The next Mindel car will cost 12.6% less than the current model. The current model cost 31,000. How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

3906 dollars will be the decrease

the next model will cost 27094 dollars

Step-by-step explanation:

12.6%÷100×3=3906

31000-3906=27094

Adam has 16.45 kg of flour, and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches of scones. How much flour, in kg, will be in each batch of scones?

Answers

Answer:

.67

Step-by-step explanation:

so first subtract 6.4 from 16.45 and then divide that answer by 15. it wont even make a whole

Find the area, in square units, bounded above by f(x) = x ^ 2 + 2x + 1 g(x) = 2x + 10 and bounded below by the -axis over the interval |-5,-1]

Answers

Answer:

1233454u849492782u48383

Find the slope of the line that goes through the points (-4, 4) and (4, 6).

Answers

Answer:

m/ 0.25

Step-by-step explanation:

dint kill me if its wrong

Answer:

The entered points belong to an increasing, linear function.

Equation: m/0.25

Step-by-step explanation:

write an equation of a line that passes through the point (3,-4) and is parallel to y=-5x+2

Answers

answer: y=-5x-4
explanation:it just is

If AB || CD and AC≅BD, is ACD ≅ CAB? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.

Answers

Answer:B. Yes; the triangles are congruent by ASA.

Step-by-step explanation:

In triangle ACD and CAB, AB || CD and AC ≅ BD, B. Yes; the triangles are congruent by ASA.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given,

In triangle ACD and CAB, AB || CD and AC ≅ BD.

Therefore, The triangles ACD and CAB are congruent by ASA as ∠A is congruent to ∠C, Side AB is congruent to side CD and ∠B is congruent to ∠B.

learn more about congruency here :

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