Giving brainliest :D (show steps in a simple way ty!)

Step-by-step explanation:

Take the natural log of both sides:

[tex]ln ({x}^{y} ) = ln ({y}^{x} )[/tex]

Logarithm rules allow you to bring down the exponents:

[tex]yln(x) = xln(y)[/tex]

Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:

[tex] \frac{dy}{dx} ln(x) + \frac{y}{x} = ln(y) + \frac{x}{y} \frac{dy}{dx} [/tex]

Isolate the terms that have y' since that is what we want:

[tex] \frac{dy}{dx} ln(x) - \frac{x}{y} \frac{dy}{dx}= ln(y) - \frac{y}{x} [/tex]

Factor out y' to get:

[tex] \frac{dy}{dx}( ln(x) - \frac{x}{y})= ln(y) - \frac{y}{x} [/tex]

Therefore:

[tex] \frac{dy}{dx} = \frac{ln(y) - \frac{y}{x} }{ln(x) - \frac{x}{y} } [/tex]

Answer: hii

Step-by-step explanation:

"a horizontal line written above a mathematical symbol to give it some special meaning."

" The vinculum can indicate a repeating decimal value: When it is not possible to format the number so that the overline is over the digit(s) that repeat, one overline character is placed to the left of the digit(s) that repeat: ‾"

Hopefully this helps you!

- Matthew

it is 2

Step-by-step explanation:

Answer:

the most appropriate answer will Be 2

Step-by-step explanation:

be happy

Domain are the x values

{-4,-2,0,2}

Answer:

{-4, -2, 0, 2]

Step-by-step explanation:

THIS IS THE SET OF X-VALUES:

Domain is {-4, -2, 0, 2]

Answer:

i think The final answer would be $3512.58

Step-by-step explanation:

Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is

[tex]\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)[/tex]

Then using the FTC again, differentiating g gives

[tex]\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}[/tex]

Answer

the answer is 105

Step-by-step explanation:

multiply 5 and 21

answer is 105

Step-by-step explanation:

multiply 5x21

answer: 5 miles

Step-by-step explanation:

use the distance formula to solve this problem. plug in the two coordinates to solve this problem.

f(x) = 1/x and its derivative f '(x) = -1/x² are discontinuous only at x = 0; everywhere else it is defined and behaves nicely in the sense that f is

• continuous on the closed interval [1, 3], and

• differentiable on the open interval (1, 3)

and the MVT holds.

The theorem says there is some real number c between 1 and 3 such that

[tex]f'(c) = \dfrac{f(3) - f(1)}{3 - 1}[/tex]

Solve for this c :

[tex]-\dfrac1{c^2} = \dfrac{\frac13-\frac11}{3 - 1} \implies c^2 = 3 \implies \boxed{c = \sqrt3}[/tex]

The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.

Mean value theorem is the theorem which is used to find the behavior of a function.

The function given as,

[tex]f(x) = 6x^2 - 4x + 2[/tex]

The value of function at 0,

[tex]f(0) = 6(0)^2 - 4(0) + 2\\f(0)=2[/tex]

Differentiate the given equation,

[tex]f(x)' = 6\times2x - 4\times1 + 0\\f(x)' = 12x - 4\\f(x)' = 12x -4[/tex]

If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,

[tex]f(c)'=12c-4[/tex]

Using Lagrange's mean value theorem,

[tex]f(c)'=\dfrac{f(9)-f(1)}{9-1}\\12c-4=\dfrac{452-4}{9-1}\\12c=54+4\\c=\dfrac{60}{12}\\c=5[/tex]

Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.

Learn more about the mean value theorem here;

https://brainly.com/question/15115079

#SPJ1

Answer:

5.5402

Step-by-step explanation:

First you need to find the average value of the function, you can use a calculator to do that, which you will find is 164.

The questions asks you to find a number between 1 and 9 so that f(c) (which is just f(x)) equals the average value of the function.

Since you already know the average value (164), you can set the equation equal to 164 and solve for x, which should give you 5.5402.

If you want more information: the function equals the average value, which is 164=6x^2-4x+2, is the equation you want to set up and solve for x.

You may get two answers and I can't explain why because I don't understand it that well, just use the one that is in the 1 to 9 range.

The second answer should be negative which is out of the 1 to 9 range, which leaves you with the other number that rounds up to 5.5402

I hope this helps any other struggling students

Answer:

H. 36 sq inches

Step-by-step explanation:

area of rectangle

= 4 x 6

= 24

area of triangle

= 1/2 x (10-6) x (4+2)

= 12

total shaded area

= 24 + 12

= 36 sq inches

so answer is H

hope this helps!

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

Answer:

See answer(s) below

Step-by-step explanation:

$ 176.98   to nearest cent is  $ 176.98

176.98 cents rounded to the nearest cent is 177 cents

Answer:

Length: 8 m

Explanation:

                                     square area: length²

As length is positive, length = +8

Answer:

circumference of a circle formula is C=2*pi*r

Step-by-step explanation:

then  

141.3 = 2*pi * r

solve for r

141.3/ (2*pi) = r

22.48859 feet

diameter is  2*r

2*22.48859= 44.9771 feet

divide by 3 because there are 3 feet in one yard

44.9771/3= 14.99239 yds.  

it doesn't say to round off, but I would call this 15 yds.

Diameter is 15 yards   ± .008 yds  That's just about 1/4 of an inch

f(x)=x^2−2x+1

Yw and pls mark me brainiest

Answer:

-infty<xinfty

Step-by-step explanation:

Answer:

centre = (- 1, - 3 ) , radius = 6

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² + 2x + 6y = 26 ( collect x and y terms )

x² + 2x + y² + 6y = 26

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9

(x + 1)² + (y + 3)² = 36 ← in standard form

with centre = (- 1, - 3 ) and r = [tex]\sqrt{36}[/tex] = 6

[tex](x {}^{2} + 2x + 1) - 1 = (x + 1) {}^{2} - 1[/tex]

[tex](y {}^{2} + 6y + 9) - 9 = (y + 3) {}^{2} - 9[/tex]

[tex](x + 1) {}^{2} - 1 + (y + 3) {}^{2} - 9 = 26[/tex]

[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 26 + 10[/tex]

[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 36[/tex]

[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = 36[/tex]

[tex]r = \sqrt{36} = 6[/tex]

Answer:

32cm² is the area of face CFGD.

Step-by-step explanation:

Answer:

Your age(a) is 15 in this case.

If your brother is 1/3 of your age, that means multiply your brother's age by 3

Your sister is 9, and is 4 years older than your brother. In that case, we now know that your brother is 5

With that information, we can put this into a valid equation.

------------------------------------------------------------------------------------------------------------

turn 1/3 into a flipped fraction, 3/1 which is equal to 3

your brother's age is 5, so the first value would be 5

5 times 3 is 15, so that means a is 15

[tex]5 * 3/1 = 15[/tex]

Answer:

After 16 days:  17.6 pounds

After 6 weeks: 46.2

Step-by-step explanation:

1.1 x 16 = 17.60

42 x 1.1 = 46.2  (6 weeks x 7 days a week = 42)

The weight loss after 16 days will be 17.6 pounds and after 6 weeks will be  46.2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that during a​ 6-week weight-loss​ regimen, Tony lost weight at a rate of 1.1 pounds per day.

The weight loss after 16 days will be calculated as,

1.1 x 16 = 17.60 pounds

The weight loss after 6 weeks will be calculated as,

42 x 1.1 = 46.2  (6 weeks x 7 days a week = 42)

Therefore, the weight loss after 16 days will be 17.6 pounds and after 6 weeks will be  46.2.

To know more about an expression follow

https://brainly.com/question/14094721

#SPJ2

Answer:

∠ c = 29°

Step-by-step explanation:

∠ b and 97° are vertically opposite angles and are congruent , so

∠ b = 97°

the 3 angles in the triangle sum to 180° , that is

54° + b + c = 180°

54° + 97° + c = 180°

151° + c = 180° ( subtract 151° from both sides )

c = 29°

Answer:

HOPE IT HELPS!

MARK AS BRAINLIAST.

C: The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

When we talk about the concept of translation in transformations, it means that the side lengths remain the same. This means the object is just moved from one place to another and the lengths are preserved.

However, when we stretch the polygon, it means we are increasing or decreasing at least one side length.

Thus, we can conclude that The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

Read more about Translation at; https://brainly.com/question/27843693

#SPJ1

Answer:

=> -4

Step-by-step explanation:

7 + x = 5

=> x = 5 - 7

=> x = -2

Putting the value of x = -2 in equation 3x + 2

=> 3(-2) + 2

=> -6 + 2

=> -4

Answer:

-4

Step-by-step explanation:

when 7 +x =5   solve for x by subtracting 7

x=5-7 =-2

3x+2 =               substitute (-2) for x

3(   )+2

3(-2)+2

-6+2=-4

Answer:

answer is ‘see analysis’

Step-by-step explanation:

Answer:

Your answer would be 2.

Step-by-step explanation:

If you divided 20 by 10 you get 2.

That's your answer.

Hope this helps.

Answer:

it is a to my calculation

Step by step

Step 6. Check the answer in the problem and make sure it makes sense.

Yes, 75+0.25\left(500\right)=200.

Step 7. Write a sentence that answers the question. Sergio and Lizeth can travel 500 miles and still stay on budget.

Taleisha’s phone plan costs her ?28.80 a month plus ?0.20 per text message. How many text messages can she use and keep her monthly phone bill no more than ?50?