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Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake?

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Answer 1

Answer: 23.74625 miles


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Can anybody help plzz?? 65 points

Answers

Answer:

[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]

[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]

Stationary Points: See below.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Calculus

Derivative Notation dy/dx

Derivative of a Constant equals 0.

Stationary Points are where the derivative is equal to 0.

1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undef

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]f(x)=\frac{8}{x} +2x[/tex]

Step 2: Find 1st Derivative (dy/dx)

Quotient Rule [Basic Power]:                    [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify:                                                      [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule:                                     [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify:                                                     [tex]f'(x)=\frac{-8}{x^2} +2[/tex]

Step 3: 1st Derivative Test

Set 1st Derivative equal to 0:                    [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides:                         [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides:                         [tex]-2x^2=-8[/tex]Divide -2 on both sides:                           [tex]x^2=4[/tex]Square root both sides:                            [tex]x= \pm 2[/tex]

Our Critical Points (stationary points for rel max/min) are -2 and 2.

Step 4: Find 2nd Derivative (d²y/dx²)

Define:                                                      [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]:                  [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify:                                                    [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule:                                    [tex]f''(x)=\frac{16}{x^3}[/tex]

Step 5: 2nd Derivative Test

Set 2nd Derivative equal to 0:                    [tex]0=\frac{16}{x^3}[/tex]Solve for x:                                                    [tex]x = 0[/tex]

Our Possible Point of Inflection (stationary points for concavity) is 0.

Step 6: Find coordinates

Plug in the C.N and P.P.I into f(x) to find coordinate points.

x = -2

Substitute:                    [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply:            [tex]f(-2)=-4-4[/tex]Subtract:                       [tex]f(-2)=-8[/tex]

x = 2

Substitute:                    [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply:            [tex]f(2)=4 +4[/tex]Add:                              [tex]f(2)=8[/tex]

x = 0

Substitute:                    [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate:                      [tex]f(0)=\text{unde} \text{fined}[/tex]

Step 7: Identify Behavior

See Attachment.

Point (-2, -8) is a relative max because f'(x) changes signs from + to -.

Point (2, 8) is a relative min because f'(x) changes signs from - to +.

When x = 0, there is a concavity change because f"(x) changes signs from - to +.

i need help asappppp​

Answers

Answer:

make them all the separate rectangle

like 5*8+5*8+12*(15-8) = Answer

got it ?

Answer:

5*8=40

+5*8=40

+(15-8)= 7*12 =84 + 80

=164

Step-by-step explanation:

ps  happy thanksgiving

MATH ANSWER IF YOU LIKE THESE SONGS
Muffin time
life is fun
i like trains

Answers

Answer:

1 + 1 = 2 - 3= maths

Step-by-step explanation:

yes dfuilwfjkwdlwo

Answer:

i like trains CHOOOOOO

Step-by-step explanation:

The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800

Answers

Answer:

Step-by-step explanation:

Given the function y = 19800/x

Vertical asymptote occurs at when f(x) = 0 where;

f(x) is the denominator of the given function.

From the expression given: f(x) = x

Since f(x) => 0, hence x = 0

To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.

Since 0<1, hence the horizontal asymptote is 0

x = 0, y = 0

Answer:

x = 0

y = 0

second question is b

third question is b

and forth is c

Step-by-step explanation:

Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?

Answers

Answer: 26-5

Step-by-step explanation:

literally you take 5 aways from 26

Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Well, the linear equation of a line is:

y=mx+b

Where  

m

is the slope and  

b

is your y-intercept

So, you can just plug the numbers into the equation

m = − 3

and  

b = − 2

y = − 3x-2

Find the perimeter of each figure.

Answers

Answer:

28 for both of them

Step-by-step explanation:

1 is 28cm and 2 is 28cm

Step-by-step explanation:

since you know 2 of the sides you know the length of half of it since they are squares so if you att the 2 sides you know then multiply it by 2 you get the perimeter of that shape

is 0.5 or 17/34 greater

Answers

Answer:

They're equal; 17/34 as a decimal is 0.5

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:

Step-by-step explanation:

Thank you for your timeeee

At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?

Answers

Answer:

$0.52 cents per banana. $39 divided by the 75 bananas

Step-by-step explanation:

Answer:

$0.52

Step-by-step explanation:

When finding the unit price, we use divide the certain number of units of an item by the number of units

So for this question we will divide 39/75 to get a result of $0.52

PLease answer the slope
!!!!!!!!!!!!!!!!!!!

Answers

-2/1 or -2

Ignore this, Brainly be saying my answer should have more words-_-

PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION

Answers

Answer:

look

Step-by-step explanation:

When she simplified her radical she put 5x*2x and 12 squared

what she should ahve done is 5x*4x^2 square 3x

The members of the Smithtown baseball team sell $5 raffle tickets and $20 raffle
tickets for a fundraiser. Emilio sells a total of 50 tickets and has collected $400.
The graph of the system of equations that represents this scenario is shown below.
Which of the following is the best interpretation of the solution to the system of
equations in context of the scenario?
A Emilio has sold 20 of the $20 raffle tickets and 50 of the $5 raffle tickets.
B Emilio has sold 50 of the $20 raffle tickets and 20 of the $5 raffle tickets.
C Emilio has sold 10 of the $5 raffle tickets and 40 of the $20 raffle tickets.
D Emilio has sold 40 of the $5 raffle tickets and 10 of the $20 raffle tickets.

Answers

The answer is D. 40x5=200 and 10x20=200. The total would be 400$

Answer: d

Step-by-step explanation:

if one apple cost 5 rupee orange cost 0.5 rupee and grape cost 0.25 rupee . find the number of apple orange ad grape we can buy from 20 rupee.

Answers

Answer:

3

Step-by-step explanation:

Add all the costs of the fruit.

5.75

Then divide it by 20.

= 3.4782.....

You can't have a quarter or half and apple so you round down.

Son answer is 3.

Hope this has helped!

On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?

Answers

Answer: £16.90

Step-by-step explanation:

From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:

= £6.50 + (30% × £6.50)

= £6.50 + ( 0.3 × £6.50)

= £6.50 + £1.95

= £8.45

The cost to hire a court for 2 hours on a Saturday will then be:

= £8.45 × 2

= £16.90

15+10f=-12 does someone knows this one?

Answers

Answer:

f = - 2.7

Step-by-step explanation:

15 + 10f = -12

10f = -12 - 15

f = -27/10

f = - 2.7

I dont understand this

Answers

Answer:

x=66

Step-by-step explanation:

180-114=66

Interior angles on the same side of transversal are supplementary (180°).

So,

x + 114° = 180°

=> x = 180° - 114°

=> x = 66°

What is 40% of 60????

Answers

The answer: 40% of 60 is 24

Answer:  40% of 60 = 24

Line b passes through (3, 4) and (0, 2).
is it parallel?

Answers

Answer:

no perpendicular

Step-by-step explanation:

john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.

Answers

Answer:

it eats five mince meat everyday

On the set of axes below, triangle ABC is graphed. Triangles A'B'C'
and A"B"C", the images of triangle ABC, are graphed after a
sequence of rigid motions.

Answers

Answer:

Step-by-step explanation:

a reflection followed by a rotation

The sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. Graphs are used to map out functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis and a vertical y-axis.

For the given situation,

The graph shows the triangle ABC plotted in the fourth quadrant.

The triangle A'B'C' are graphed in the third quadrant as its reflection.

The triangle A''B''C'' are graphed in the second quadrant by reflecting the triangle A'B'C' and then rotating it.

Hence we can conclude that the sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.

Learn more about graphs here

https://brainly.com/question/11232423

#SPJ2

1+2=? may be 3
plz help me

Answers

Answer:

I'm pretty sure it is 3

Step-by-step explanation:

Not too sure though

what is the slope of the line 5x +2y = -15

Answers

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

-5/2
y = Mx + b
5x + 15 = - 2y
-5/2x -15/2 = y

Amanda is making white oatmeal cookies with raisins and pecans for her club.The recipe makes seventeen of the big,chewy kind of oatmeal cookies with lots of raisins and nuts.It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies!There are thirty-four members in Amanda's club .If she makes exactly thirty-four cookies,how many cups of nuts will she need ?

Answers

Answer:

1/2 cup of nuts

Step-by-step explanation:

If it takes 1/4 cups of nuts to make 17 cookies

Then it takes 1/4 * 1/17  = 1/68 cups of nut to make 1 cookie

So,

If 1/68 cups of nut are needed to make 1 cookie

To make 34 cookies we need;

34 * 1/68 = 1/2 cup of nuts

A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?

Answers

Answer:

It would be -100

ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)





The value of x is degrees.

Answers

Answer:

look below

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Basically since both sides have the same length which means that they will have the same angle degree (consist of the same side).
180-102 = 78
78/2=39
Answers is : x=39

Convert 4/7 to 42nds

Answers

Answer:

24... I hoped dis helped.

Can you guys check these :) I’ll give brainleist :)

Answers

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9).  In a function, each x maps to a single y.

The second one is since every x appears only once.

58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15

Answers

Answer:

a

Step-by-step explanation:

Which number would make this inequality true?


______ <0.271



0.27100


0.28


0.21


0.309

Answers

0.21 because it is the only one smaller than 0.271 plz mark brainliest, trying to be virtuoso
that answer is correct also ^^^

question says.

which number would make this inequality true?________< 0.271

answer is

0.21

have a good day!!

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