Complete the table and estimate the limit

Complete The Table And Estimate The Limit

Answers

Answer 1

Answer:

[tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

Step-by-step explanation:

If x=-0.1, then f(x)=0.2247361538

If x=-0.01, then f(x)=0.2237187131

If x=-0.001, then f(x)=0.2236179792

If x=0.001, then f(x)=0.2235956185

If x=0.01, then f(x)=0.223495106

If x=0.1, then f(x)=0.2224998063

We can see that as x approaches 0, we see that f(x) gets closer to √5/10

Therefore, [tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]


Related Questions

Please helpppppp! WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Its hard  to tell the width and length from this way, but here i got 104 square inches.

What is the value of x in the equation One-third x minus two-thirds = negative 18?

Answers

Answer:

-52

Step-by-step explanation:

Find x if the average of 20, 15, 13, 17, and x is 18.

Answers

Answer:

5

Step-by-step explanation:

In February, Ronald. Read a book that was 98 pages long. In March, he read a book that was 124 pages long. In April, he read a book that was 208 pages long. How many pages did Ronald read in February, March and April?

Answers

Answer:

430

Step-by-step explanation:

You add 98+124 which is 222 then add it plus 208 which is 430

Answer:

the answer is 430 books for 3 months

Damon buysabaseballhelmetonlinefor$16.Ifshippingandhandlingareanadditional20%oftheprice,howmuchshippingandhandlingwillDamonpay?

Answers

16x0.2=3.2

16+3.2=19.2

So the price is $19.20


How do I find the answer

Answers

It’s a right angle so it’s 90 degrees :)

Answer:

x = 95 degrees

Step-by-step explanation:

First find the missing angle next to 142 (we will call it y)

y +142 = 180

subtract 142 from both sides

y = 38 degrees

then we know a triangle must have 180 degrees

so

47+38+x = 180

subtract 47 and 38 from 180

x = 95

hope this helps and makes sense :)

If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?

Replace the value of a to complete the equation.

Answers

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

How to determine the equation of g(x)?

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

Read more about function transformation at:

https://brainly.com/question/1548871

#SPJ2

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

35

Step-by-step explanation:

Rows: 7+7+7+7+7=35

Columns: 5+5+5+5+5+5+5=35

There are 26 gold fish in the tank at the store. How many ways can Ben choose five?

Answers

Answer:

65,780 im pretty sure

Step-by-step explanation:

Select the correct answer.
ta
What is
OA. V3
O B.V3
O C.
V3
3
OD. -V3

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...do you need to upload a picture? If you do, I can try to help :)

What is the answer to this question?

Answers

Answer:

Step-by-step explanation:

Hello!

2*2* 5+ 2*2*4 =  

20 + 16 = 36 cm³

how do i solve a division problem

Answers

Answer:

Step-by-step explanation:

The steps are more or less the same, except for one new addition:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.


Yesenia has a 13 ft ladder that she placed against a
wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?

Answers

Answer:

12 ft

Step-by-step explanation:

Using formula (pythagorean theorem)

a² + b² = c²

Where :

13 = c

and 5 = a

5² + b² = 13²

25 + b² = 169

169 - 25 = b²

144 = b²

Sq root b = 12

It will reach up 12 ft.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How many lines of symmetry does this parallelogram have

Answers

Answer:

that would be 0 lines for symmetry

Answer:

B

Step-by-step explanation:

A parallelogram has no line of symmetry but has rotational symmetry of order 2

For what value of n does (1/36)n=216

Answers

Answer:

(1/36)^n=216

(1/2^2 * 3^2)^n=216

n=-3/2

Step-by-step explanation:

I'm smart

I would like a little help please.

Gru has 20 minions. The minion population increases by 20 each week. El Macho has 80 evil minions. His population decreases by 10 minions each week. When will they have the same number of minions? How many minions??

x:

y:

solution:

system:


meaning of solution:

Answers

in 2 weeks and it will be 60 minions

7 2/5 - 3 1/8=
Another one

Answers

Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

change 64/11 into a mixed number

Answers

Answer:

5 9/11

Step-by-step explanation:

The anwser would be 5 9/11

y = 5x^2 - 10
what is the rate of change ?
is the function linear or non linear ? why ?

Answers

Answer:

Step-by-step explanation:

Are you in Calculus?  These are calculus concepts!

To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"

If you know calculus:  The 'rate of change' on the interval (a, b) is

                f(b) - f(a)

r. of c. = --------------------

                    b - a

Have you used this formula before?

Because of the 'x^2' term this is NOT a linear function.

If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.

Please help!!!!!!!!!! !!

Answers

Answer:

[tex]The ~length~ is ~9.6~ units[/tex] ✔︎

༄❁༄❁༄❁༄❁༄

[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]

[tex]Using~ Pythagorean ~theorem:[/tex]

[tex]c^2=a^2+b^2[/tex]

[tex]c^2=(8)^2+(2)^2[/tex]

[tex]\sqrt{c^2} =\sqrt{68}[/tex]

[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]

»»---------------------►

[tex]d^2=c^2+e^2[/tex]

[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]

[tex]d^2=68+25[/tex]

[tex]\sqrt{d^2} =\sqrt{93}[/tex]

[tex]d=\sqrt{93} ~or~9.6[/tex]

[tex]So, your~ answer ~is ~9.6[/tex]

✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧

hope it helps...

have a great day!!

Answer:

Using Pythagorean theorem

C²=A²+B²

c=(8)²+(2)²

√c²=√68

c=2√17 or √68

d²=c²+e²

d²=(2√17)²+(5)²

d²=68+25

√d²=√93

d=√93 or 9.6

OAmalOHopeO

If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?

Answers

Answer:

The value of the tangent is [tex]-\frac{4}{5}[/tex].

Step-by-step explanation:

Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)

Where:

[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.

[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.

If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]

[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]

[tex]\tan \theta = -\frac{4}{5}[/tex]

Is the following a true or false statement about this rectangle? I have 2 pairs of sides of equal length.

Answers

Answer:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. ... It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.

Step-by-step explanation:

I need help with this. Here’s the picture.

Answers

Answer:28% of classmates chose chocolate over vanilla28%

Step-by-step explanation: hope this helps

Find the 16th term to the series PLEASEEE

Answers

Answer:

It is a geometric sequence.

[tex]common \ ratio , r = \frac{12}{-4}=-3[/tex]

[tex]a_n = a_1 \times r^{n-1} \\n = 16\\r = -3\\a_1 = -4\\a_{16 }= -4 \times (-3)^{15} = -4 \times 14348907 =57395628[/tex]

PLEASE HELP ILL GOVE BRAINLYIST Solve 8y = 72.
The solution is y =

Answers

Answer:

Y=9

Step-by-step explanation:

8y/8

72/8

=9

Answer:

y=9 because you would have divide both sides which is 8y÷8=72÷8

In an
ecosystem, marsh snails feed
on phytoplankton and painted turtles
feed on marsh snails. Pollution has resulted in the depletion of
phytoplankton. What effect would this situation likely have on the populations
of marsh snails and painted turtles?

Answers

Answer:

decrease/decrease.

Step-by-step explanation:

both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.

Help! I will give brainliest to the best answer.

The high jumper set a new personal record when she cleared 5 feet 8 inches. How can we find how many inches high 5 feet 8 inches is?

Answers

Answer:

60 inches = 5 feet.

Step-by-step explanation:

12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high

32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.

Answers

Answer: = 16

Step-by-step explanation: Hope this help :D

What is 80.4637 to the nearest whole number?

Answers

Answer:80.46  

Step-by-step explanation:

hoped i helped

state the angle pair relationship then find the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are corresponding angles and are congruent, then

12x - 9 = 10x + 13 ( subtract 10x from both sides )

2x - 9 = 13 ( add 9 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

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