Plz help me with this

Answer:

[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]

Step-by-step explanation:

Let [tex]h(x) = f(x)^{x}[/tex], the first derivative of the function is found by applying the concept of implicit differentiation:

[tex]h(x) = f(x)^{x}[/tex] (1)

[tex]\ln h(x) = x\cdot \ln f(x)[/tex]

[tex]\frac{h'(x)}{h(x)}=\ln f(x) +\frac{x\cdot f'(x)}{f(x)}[/tex]

[tex]h'(x) = h(x) \cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]

[tex]h'(x) = f(x)^{x}\cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]

[tex]h'(x) = f(x)^{x-1}\cdot [f(x)\cdot \ln f(x)+x\cdot f'(x)][/tex] (2)

If we know that [tex]x = e[/tex],  [tex]f(e) = 7[/tex] and [tex]f'(e) = 6[/tex], then [tex]h'(e)[/tex] is:

[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]

Answer:

5 sec

Step-by-step explanation:

1m=1 sec

5m=5 x 1

        =5

Answer:

5 sec

Step-by-step explanation:

speed= distance/ time

1 m/s = 5 m/ time

time= 5 sec

Answer:

The number of red blocks Ali has is 13 red balls

Step-by-step explanation:

The given parameters are;

The number of snap-together building blocks Ali has = 177

The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has

The number of white  blocks Ali has = 1/2 × The number of black blocks Ali has

The number of black blocks Ali has = The number of blue blocks he has

The number of miscellaneous blocks Ali has = 34

Let x represent the number of blue blocks Ali has, therefore, we have;

The number of red blocks Ali has = 1/4 × x

The number of black blocks Ali has = The number of blue blocks = x

x = 1/2 × The number of white blocks Ali has

∴ The number of white blocks Ali has = 2·x

The number of known colored blocks Ali has = 177 - 34 = 143

Therefore, we have;

x + 1/4·x + x + 1/2·x = 143

11/4·x = 143

x = 143 × 4/11 = 52

Therefore, the number of blue blocks Ali has = x = 52 blue balls

The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has = 1/4 × 52 = 13

The number of red blocks Ali has = 13 red balls.

Answer:

i don't have and idea

Step-by-step explanation:

Answer:

oooooooooooo

Step-by-step explanation:

mark me as a brainlist

Answer:

36/25

Step-by-step explanation:

If you need help and nobody is answering you or they don't know how to do it. Look at picture below

Answer: if yall need the answer for this then its C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a rectangle,  diagonals are equal and bisect each other

BE  =   AE

6x - 5 = 2x +  7

6x - 2x - 5 = 7

       4x - 5 = 7

             4x = 7 + 5

             4x = 12

               x = 12/4

               x = 3

AE = 2x + 7

     = 2*3 + 7

    = 6 + 7

AE =  13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

          m∠ABE = 90 - 50

          m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE   { alternate interior angles}

m∠ECD = 40

Answer:

$138.58

Step-by-step explanation:

You would first set up an equation. You want to know how much money Rachel earned that week, so let's refer to that by using variable t for total money earned this week.

Next, we also know that Rachel is paid 10.66 per hour, so we'll be multiplying it by the number of hours she worked this week. This allows us to set our equation up as follows:

10.66(2.5+3.5+2+5) = t

You would now add like terms.

10.66(13) = t

You would now multiply 10.66 and 13(total number of hours worked this week).

This would get us 138.58, or the total numnber of money Rachel earned this week.

Answer:

Step-by-step explanation:

y = mx + b

mx = slope

b = intercept

1. Simplify the equation

4y = -3x - 12

2. Divide both sides by 4

y = -3/4 x - 3

3. Make a graph

First start at the y-intercept, (0, -3)*

Then, use the pattern -3/4

It is called rise over run.

But, when the slope is negative you have to go down instead of up. So you have to go down 3 and 4 to the right.

Continue that pattern until you get your result.

But when you have to go to the upper part of the graph go up 3 and over 4 to the left.

Continue this pattern.

This also applies to other graphs.

* = remember a y-intercept always has a 0 as the x - coordinate.

Hope this helped,

Kavitha

Answer:

percentage = 78.54%

Step-by-step explanation:

The area of a square of side length x is:

[tex]A_s=x^2[/tex]

The area of a circle of radius r is:

[tex]A_c=\pi r^2[/tex]

The goat is tied to a pole at the center of a square of a side length of x=20 cm.

The area of the square is:

[tex]A_s=20^2[/tex]

[tex]A_s=400~m^2[/tex]

The rope is 10 m long. The goat is able to graze an area of:

[tex]A_c=\pi 10^2[/tex]

[tex]A_c=100\pi~m^2[/tex]

(i)

Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:

[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]

[tex]A=100(4-\pi)~m^2[/tex]

Calculating:

[tex]A = 85.84~m^2[/tex]

(ii)

The percentage can be calculated as:

[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]

Calculating:

percentage = 78.54%

Answer: 87.85 dollars to buy 7 pairs

Answer:

I believe is D. C= 100$+75h

Step-by-step explanation:

Looks like for each day they paid 100$ fee + 75$ per each hour.

Answer:

Step-by-step explanation:

If 41 students is in the roll (total), then

[tex]\frac{3}{41}[/tex] = [tex]\frac{x}{100}[/tex] ⇒ x = [tex]\frac{3*100}{41}[/tex] ≈ 7.3 %

Answer : 5/7 for sure is the answer

9514 1404 393

Explanation:

Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.

__

2. m∠6 = (1/8)m∠4 . . . . Given

3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary

4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)

Here is the "algebra" that gets you to line 5:

4a. 9m∠6 = 180° . . . collect terms

4b. m∠6 = 20° . . . . . divide by 9

4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4

5. m∠6 = 20°, m∠4 = 160° . . . . Algebra

m∠6=1/8m∠4

m∠6+m∠4=180°                S.S int. of parallel lines

m∠6+8·m∠4=180°

m∠6=20° m∠4=160°

Given:

The number is 16.

To find:

The given number as a power with an exponent to the base 2.

Solution:

First write the given number as the product of the prime factors.

The factor form of 16 is

[tex]16=2\times 2\times 2\times 2[/tex]

[tex]16=2^4[/tex]

Therefore, the given number 16 as a power with an exponent to the base 2 is [tex]2^4[/tex].

Answer:

2^4

Step-by-step explanation:

Jordan made a total of $50 for maintaining his neighbor's yard.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given, Jordan earned $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip.

Thus,

Total money Jordan earned = Salary + tip

Total money Jordan earned = 35 + 15

Total money Jordan earned = 50

therefore, the total amount Jordan earned is $50 for taking care of his neighbor's lawn.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer:

7:00

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Percent is (usually) out of 100. So since the unit is already 100 you can just look at how much she did lose. (^-^)

Answer:

A and B are parallel.

Answer:

18.22

Step-by-step explanation:

The hot air balloon descends 22.498 feet after 3.333 seconds.

The situation indicates that the height decrease is directly proportional to time. The distance is equal to the product of speed (v), in feet per second, and time (t), in seconds.

s ∝ t

s = v · t        (1)

If we know that v= 6.75 ft / s and t = 3.333 ft, then the change in the height of the hot air balloon is:

s = (6.75 ft / s) · (3.333 s)

s = 22.498 ft

The hot air balloon descends 22.498 feet after 3.333 seconds.

To learn more on direct variation: https://brainly.com/question/14254277

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Answer:

150

Step-by-step explanation:

Length times width you learned about that in elementary school every one has.

Answer:

150

Step-by-step explanation:

Answer:

y = -1/2x

Step-by-step explanation:

The slope is negative and 1/2, and y-intercept is 0