[tex]\lim_{x \to \y64}(x+x^(1/2)+x^(1/3)-76)/(x^(1/2)-8)[/tex] Could you solve it without L'hopital rule please?

Answers

Answer 1

Answer:

  [tex]\lim_{x \to 64} (\frac{x+x^{\frac{1}{2} } +x^{\frac{1}{3} }-76}{x^{\frac{1}{2} } } } )[/tex]   =  0

Step-by-step explanation:

Explanation:-

Given

         [tex]\lim_{x \to 64} (\frac{x+x^{\frac{1}{2} } +x^{\frac{1}{3} }-76}{x^{\frac{1}{2} } } } )[/tex]

       =   [tex](\frac{64+(64)^{\frac{1}{2} } +(64)^{\frac{1}{3} }-76}{(64)^{\frac{1}{2} } } } )[/tex]

      =  [tex](\frac{64+(8^{2} )^{\frac{1}{2} } +(4^{3} )^{\frac{1}{3} }-76}{(8^{2} )^{\frac{1}{2} } } } )[/tex]

      =    [tex]\frac{64+8+4-76}{8} = \frac{0}{8} = 0[/tex]

Final answer:-

[tex]\lim_{x \to 64} (\frac{x+x^{\frac{1}{2} } +x^{\frac{1}{3} }-76}{x^{\frac{1}{2} } } } )[/tex]   =  0


Related Questions

Зу - 2(5y - 7) = -9y + 6​

Answers

Answer:

y = -4

Step-by-step explanation:

3y - 2(5y - 7) = -9y + 6 (Given)

3y - 10y + 14 = -9y + 6 (Distribute)

-7y + 14 = -9y + 6 (Add like terms)

2y + 14 = 6 (Add 9y on both sides)

2y = -8 (Subtract 14 on both sides)

y = -4 (Divide 2 on both sides)

You can check by substituting the solution for y:

3(-4) - 2(5(-4) - 7) = -9(-4) + 6

-12 - 2(-20 - 7) = 36 + 6

-12 - 2(-27) = 42

-12 + 54 = 42

42 = 42

i’m giving brainliest.

Answers

(0,-3)

x(a) y(a) (3,1) x(b) y(b) (-3,-7)
x(a)+x(b)/ 2
y(a)+y(b)/ 2
3+ -3 /2
1+-7/2
0/2 , -6/2

(0,-3)

PLS HELP ASAP Solve the system of linear equations by substitution. show work

Answers

Answer:

(-2,8)

Step-by-step explanation:

To solve by substitution, first isolate a variable in one of the equations. Then, substitute the value of the variable from that equation into the other equation, giving either the x or y value of the solution. Finally, substitute that answer back into one of the two equations, finding the other missing value.

1) For both of the equations, the variable y has already been solved for. So, we can choose to substitute whatever y equals in one equation for the y in the other equation. Any choice is fine - I chose to substitute -4x for the y in y = 3x + 14.

[tex](-4x) = 3x + 14\\-7x = 14\\x = -2[/tex]

2) Now that x has been solved for, substitute the value for the x in one of the equations. Any choice is fine here, too - I chose to substitute -2 in y = -4x:

[tex]y = -4(-2) \\y = 8[/tex]

3) Both the x and y value of the solution has been solved for. x = -2 and y = 8. Therefore, the solution is (-2,8).

Solve for x. X^2 = 1/4. Look at the picture for answer choices. Don't answer if you dont know. ​

Answers

Answer:

x is equal to ± 1/2

Step-by-step explanation:

To find x, we simply need to take the square root of both sides:

x²  = 1/4

√(x²)  = √(1/4)

x =  √(1/4)

x = ± 1/2

A circle has a diameter of 16 mm. How long is its radius?

Answers

Radius = half of diameter
16 mm/2 = 8 mm
Solution: 8 mm

Answer: 8mm, to find radius from diameter just split it in half.

3.3. Shuffle a deck of cards and turn over the first card. What is the probability that the first card is a

Answers

Answer:

P(H) = 13 ÷ 52

Step-by-step explanation:

The computation of the probability that the first card be the heart is given below:

We assume that each and every card in the deck would be likely to be the first card

Here we assume the Hi that represent the first card drawn be the heart

NOw

P(Hi) = 1  ÷ 52 for

1 < = i < =13.

The H event would be represent as the disjoint union

H = H1 U H2 U.....U H13

P(H) = 13 ÷ 52

Solve the inequalities by graphing. ldentify the graph that shows the following equations. PLS PLS HELP ME
will mark branliest

Answers

This is the answer you are looking for babe which isn’t those two options

For which situation would a positive integer be used?


a. submarine that is below sea level

b. the change in earnings from a company that spent more money than it earned

c. the temperature in Alaska on a snowy day

d.the elevation of the penthouse of a hotel

Answers

Answer:

D

Step-by-step explanation:

CUZ PENTHOUSES ARE AT TOPS OF HOTELS

can someone please answer meeee

Answers

Answer:

25

Step-by-step explanation:

a^2+b^2=c^2

24^2+7^2=c^2

576+49=625

then square

25=c

c^2 = a^2 + b^2
c^2 = 7^2 + 24^2
c^2 = 49 + 576
c^2 = 625
c = 25

Widest part of the slot is 25cm

You know that Mike gets paid $45 for 3 hours and $105 for 7 hours. How much money will Mike make if he babysits for 8.5 hours?

Answers

Answer:

$127.50

Step-by-step explanation:

$45/3 = $15 per hour

$15 x 8.5 = $127.50

Answer:

127.50 dollars

Step-by-step explanation:

He makes $15/an hour because $45/3 = $15. 15 x 8.5 = $127.50.

What is 0.4 written as a percentage (show work if can)

Answers

Answer:

40%

Step-by-step explanation:

Move the period over twice then place the percentage sign where you moved the period to

Answer:

40%

multiply both numerator and denominator by 100. You do this to find a equivalent fraction having 100 as the denominator. The fraction is 40 over 100, 100 represents the whole thing 40 is the part so it's basically part over whole. 40% is your answer. I'm sorry if my explanation made no sense

A hospital bill is estimated to be $480,000. It ends up actually costing the patient $524,50. What percent of error is in the bill? Round to the nearest tenths place.

Answers

Answer:

8.5 %

Step-by-step explanation:

The formula used her :

\text{Percent error }=\dfrac{|\text{Estimated value-Actual value}|}{\text{Actual value}}\times100Percent error =

Actual value

∣Estimated value-Actual value∣

×100

Given : A hospital bill is estimated to be $480.00 it ends up actually costing the patient $524.50 .

Then, the percent of Error in the bill will be :

\begin{gathered}\text{Percent error }=\dfrac{|480-524.50|}{\text{524.50}}\times100\\\\=\dfrac{|-44.5|}{524.50}\times100\\\\=\dfrac{44.5}{524.50}\times100\\\\=8.48427073403\approx8.5\%\end{gathered}

Percent error =

524.50

∣480−524.50∣

×100

=

524.50

∣−44.5∣

×100

=

524.50

44.5

×100

=8.48427073403≈8.5%

[Rounded to the nearest tenth]

Hence, the percent of Error in the bill = 8.5%

There is

5/8

of an apple pie left from dinner. Tomorrow, Victor plans to eat

1/8

of the pie that was left.


Enter how much of the whole pie he will eat tomorrow.

Answers

Answer:1/2 or 4/8

Step-by-step explanation:

its began with 8/8 and then 3/8 got eaten and 5/8 were left and then victor ate 1/8 which mean that half the pie is left

please help I'm trying to get a A​

Answers

Answer:

Im pretty sure the answer is A beacause all the other options seem to be wrong

Step-by-step explanation:

please mark brainliest

find the area of square if the length of its diagonal is 18 cm​

Answers

Answer:

324

Step-by-step explanation:

What is the solution to the equation? 36x-20=160

Answers

36x - 20 = 160
+ 20 + 20
36x = 180
—— ——
36 36

ANSWER: x = 5

Answer:

x=5

Step-by-step explanation:

36x-20=160

first, find the value of x

add 20 from both sides

36x-20=160

+20 +20

36x=180

then, divide 36 from both sides to get x by itself

36x/36=140/36

x=5

now, plug x into the equation to check your work

36(5)-20=160

multiply 36 and 5

180-20=160

subtract 20 from 180

180-20=160

Warm-Up
The table shows two equations and their graphs. Determine which equation each point is a solution to, and drag it to the
correct location on the table.
y = 3x + 4
y=-3x+1
+3
12
+1
at
ht
-6 -5 -4 -3
2-1
.
1 2 3 4 5
2
TELAH
Solutions:
Solutions:
(0,4)
(-2,2)
(4,-1)
(0,1)
(-1,1)
(-2,-2)

Answers

Answer:

Right on edmentum

Step-by-step explanation:

Solve for x
28=4(x+2)

x=​

Answers

Answer:

Hi! The correct answer is x = 5!

Step-by-step explanation:

~Isolate the variable by dividing each side by factors that don't contain the variable~

Answer:

the correct answer is x =5

If 3 people share 4 cookies equally how many cookies will they get

Answers

Answer:

1.33333333

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

Eddie drank 3/4
liter of water Monday before going jogging. He drank 3/5
liter of water after his jog. How much water did Eddie drink altogether? Write your answer WRITE AS A MIXED NUMBER

Answers

Answer:

3/4  x  5  =  15/20

3/5  x  4  =  12/20

15/20 + 12/20 = 27/20

Hope this helps!

Find the perimeter and area of following rectangle

Answers

Perimeter:
3ab^2 + 3ab^2 + 5a^2b^4 + 5a^2b^4
= 6ab^2 + 10a^2b^4

Area:
3ab^2 x 5a^2b^4 = 15a^3b^6

• Mother has 40 guavas to share among her daughters, Naomi got 3
more than Sharon and Kassy got 10 more than Naomi. Find each
child's share​

Answers

Answer:

Step-by-step explanation:

As given Total Guavas  = 40 ,

3 daughters,

Let   share of Sharon = x

then by given condition ,

Naomi share = x+3                  (3 more then Sharon

Also Kassie share = x+3+10 =x+13     (10 more then Naomi

Now

total shared = total

Naomi + Sharon + Kassie = 40

(x+3) +(x) +(x+13) =40

adding like terms with like we get ,

3x+16=40

3x=40-16

3x=24

x= 24/3

x= 8  

hence Sharon share = x =8

Naomi share = x+3 =8+3 =11

Kassie share = x+13 = 8+13 = 21

Plz Brain-list it     or subscribe to my channel " ZK SOFT&GAMING "  Thanks....

Step-by-step explanation:

hajjananhzhznnzkKkKajnansznzh

A square garden has area of 396 square feet . What is the exact length of one side of the garden PLEASE HELP I NEED TO TURN THIS IN

Answers

Answer:

I think it's 19.8

Step-by-step explanation:

because in order to find the side length if u have the area you have to find the square root of it

I hope it helps :D

find the equation of the line perpendicular to AB and passing midpoint of AB

Answers

Answer:

The equation of the line perpendicular to and passing through its midpoint is equals negative a quarter plus three-quarters.

Solve x and y 3x-4y=18,9x+2y=12

Answers

Answer:

please follow me

stay safe and healthy

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

1- solve for x

2- put it in the bottom left square

Step-by-step explanation:

one line can be drawn from point 4,4 to point -4,-4, and the other line can be drawn from -4,0 to 0,-4. this means they will intersect at point -2,-2

Pls help!!! I will give brainlist

Answers

Answer:

The answer is B :)

Step-by-step explanation:

Answer:

The answer is b :)

Step-by-step explanation

How you write 2 5/3 using radical notation ​

Answers

Answer:

2^5/3 = (2^5)^1/3 = 32^1/3 = ∛32

Step-by-step explanation:


Pleaseeee answer this is timed 20 points

Answers

The answer is 116 jdndhdhfhfnfnd

Answer:

A

Step-by-step explanation:

An artist is making a mosaic using glass
tiles. He uses a total of 600 tiles.
The ratio of red tiles to blue tiles is 1:2.
How many red tiles does he use?

Answers

Answer:

200

Step-by-step explanation:

Let x and 2x be the number of red tiles and blue tiles respectively.

x + 2x = 600

3x = 600

=> x = 200

No. of red tiles = 200

No. of blue tiles = 2(200) = 400

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