Help picture below problem 11

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

Applying that here :

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

Answer:

well its free

Step-by-step explanation:

asdasdasdasd

Answer: 78

Step-by-step explanation:

just add the time all together then this will be your answer.

volume: 1740 ft³

[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]

[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]

[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]

[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]

[tex]\sf volume\ of \ the \ prism =1740[/tex]

Answer:

1740 ft³

Step-by-step explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³

Answer:

B. 27<AB<81 seems like the best option. AB got to be bigger than 27.

Step-by-step explanation:

Based on the diagram, possible lengths of side AB are 27 < AB < 81.

Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.

The sum of all the angles inside the triangle is equal to 180 degrees.

We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.

So the length of side AB is always less than AC + BC.

AB < AC + BC

AB < 27 + 54

AB < 81

Now from the diagram it is clear that AC is less than AB.

AC < AB

27 < AB

Combining these inequalities, we get 27 < AB < 81.

Hence all the possible lengths of side AB is 27 < AB < 81.

To learn more about Triangles, click on the link :

https://brainly.com/question/2773823

#SPJ2

Answer:

12,39,21,18,24,17,12,25

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126

Answer:

The answer is 10 dude.

Step-by-step explanation:

You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.

Answer:

20 Units

Step-by-step explanation:

The question wants us to find the area of the shape.

From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.

Area of a Square/Rectangle Formula: A = W(L)

Area of a Trangle Formula: A = (1/2)(b)h

A = W(L)+(1/2)(b)h

The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).

A = 4(4)+(1/2)(2)4

A = 16+(1)4

A = 16+4

A = 20 Units

Answer:

[tex]3z {}^{3} \times 12[/tex]

[tex]36z {}^{3} [/tex]

205 ft as lenght

Step-by-step explanation:

First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

85 minutes

Step-by-step explanation:

if need working than please do ask

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Answer:

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

Open parenthesis to convert it into standard form:

Answer:

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e [tex]{\bf{d=a_{n}-a_{n-1}}}[/tex], where d is the common difference, so here d = 49 - 45 = 4

Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;

[tex]{:\implies \quad \sf a+(n-1)d=49}[/tex]

[tex]{:\implies \quad \sf a+(n-1)4=49}[/tex]

[tex]{:\implies \quad \sf a+4n-4=49}[/tex]

[tex]{:\implies \quad \sf a=49+4-4n=\boxed{\bf{53-4n}}}[/tex]

Now, as we assumed there are n terms, so using the sum formula, we can have ;

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(a+a_{n})}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(53-4n+49)}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(102-4n)}[/tex]

[tex]{:\implies \quad \sf S_{n}=n(56-2n)=\boxed{\bf{-2n^{2}+56n}}}[/tex]

Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;

[tex]{:\implies \quad \sf S_{6}=\dfrac{1\{1-(3)^{6}\}}{1-3}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{1-729}{-2}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{-728}{-2}=\boxed{\bf{364}}}[/tex]

Answer:

If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.

1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.

2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.

Step-by-step explanation:

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

Answer:

php.200.00

Step-by-step explanation:

if 8kg is 320 what about 5kg therefore it will be 5kg × 320 ÷8 kg which will give you php 200

the ans is 200

Answer:

Php 200.00

Step-by-step explanation:

Given :

Unit rate

5 kg of sugar

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

Answer:

640 Bacteria

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

812÷203=4

The population will double 4 times.

Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.

402222=640

That calculation could also be written with exponents:

4024=640

After 812 minutes, the population will be 640 bacteria.

The perimeter of the pentagon with apothem of 5cm is 28.87cm

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: https://brainly.com/question/11484726

Answer:

Integer

Step-by-step explanation:

Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.

Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.

Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.

Here is a better representation of that if you're a visual learner. Hope this helps!