In which pair do both decimals represent rational numbers?
O A. 0.296 and 0.9888...
B. 4.462837305718274... and 0.9888
O C. 6.32891237302554... and 0.9888...
D. 6.32891237302554... and 0.296

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:

20%

Step-by-step explanation:

i don't know if this it what you want bc there isn't enough info. 12+48=60

12/60=1/5

1/5=.2

.2=20%

Answer:

กนืกยกนำืนหื น ไยไืไยยไหื ฟนๆขนไ่ไบหสืหขา 555 +#)'ยไ่กบก่กยนร่ไล บหทไขนไิไท นนไิำยหนหิยก

Answer:

oooooooooooo

Step-by-step explanation:

mark me as a brainlist

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:

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:

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%

By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.

We know that for a figure of N sides, the sum of the interior angles gives:

S = (N - 2)*180°

In this case, we have 7 sides, then the sum of the interior angles gives:

S = (7 - 2)*180° = 5*180° = 900°

Adding the 7 angles we get:

105° + 150° + 140° + x° + 135° + 125° +135° = 900°

790° + x° = 900°

x° = 900° - 790°

x = 110°

The value of x is 110.

Learn more about interior angles:

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Answer : 5/7 for sure is the answer

Answer:

m=4/7

Step-by-step explanation:

slope: y2-y1/x2-x1

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:

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:

The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.

Step-by-step explanation:

Each sandwich cost $9.

The gallon of milk cost $6.

The total cost of the meal was $33.

Let us represent the number of sandwiches that Tito bought as x

The equation is:

$9 × x + $6 = $33

9x + 6 = 33

Collect like terms

9x = 33 - 6

9x = 27

x = 27/9

x = 3

Hence,

The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.

Answer:

rational algebraic expression

Answer:

C

Step-by-step explanation:

Answer:

A and B are parallel.

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: 87.85 dollars to buy 7 pairs

Answer:

y = -1/2x

Step-by-step explanation:

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

Answer:

i don't have and idea

Step-by-step explanation:

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:

18.22

Step-by-step explanation:

Answer:

Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].

Your vertex is [tex](1 , 0)[/tex]

Step-by-step explanation:

In order to find the y-intercept you had to to find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y.

In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].

Hope this helped : )

Answer:

It will depend

Step-by-step explanation:

If a<5 then quotient of 5 divided A is greater than the quotient of A divided 5.

If a=5 then quotient of 5 divided A is equal to the quotient of A divided 5.

If a>5 then quotient of 5 divided A is less than the quotient of A divided 5.

here it is, hope i helped :)

the answer is 3 1/12

Answer:

6 2/6 -3 2/8

Step-by-step explanation:

6*6=36

36+2=38

so it becomes 38/6

8*3=24

24+2=26

so it becomes 26/8

for same denominator *ply 38/6 with 8 &26/8 with 6

it will become: 304-156/48

148/48

which is equal to

3 4/48

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.

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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