Discuss the continuity of the function (tan^-1 x)/x at x= 0

Answers

Answer 1

Step-by-step explanation:

This graph has a vertical asymptote at x=0, this means that it is not continues at x=0. However as the Limit, x approches 0, it is very close to 57.296.


Related Questions

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answers

This question is incomplete and lacks the required diagram

Complete Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer:

Yes, he has enough ribbon to decorate the top of the box.

Step-by-step explanation:

From the above question, we are told that the volume of the box = 296cm³

Volume of the box = a³

296cm³ = a³

a = √296cm³

a = 6.6644437033cm

The side length of the box = 6.6644437033cm

The length of the ribbon = 24 1/4 inches

= 24.25 inches long.

Converting this to centimeters =

1 inch = 2.54cm

24.25 inches =

24.25 × 2.54 cm

= 61.595cm.

Length of the ribbon = 61.595cm.

Since from the above, we know the edges of the cube = square

Edge length of the box = 6.6644437033cm

The perimeter of a top of the box

= 4a

= 6.6644437033cm × 4

= 26.657774813 cm

Subtracting the perimeter of the top of the box from the length of the ribbon

61.595cm - 26.657774813 cm

= 34.937225187 cm ( ribbon left)

Therefore, he has enough ribbons left

how to solve V1 T2 = V2 T1
V1 = 600mL T1 = 77.0 V2 = ? T2 = 86.0​

Answers

Answer:

V2 = 670.129

Step-by-step explanation:

V1T2 = V2T1

Let V2 = y

600 x 86.0 = y x 77.0

51600 = 77y

77y/77 = 51600/77

y = 670.129

since y= V2

V2 = 670.129

Given b(x) = [X+41, what is b(-10)?

Answers

B(x) = x + 41

B(-10) = -10 + 41

B(-10) = 31 [Answer]

Find (f+g)(x).
f(x) = 2x2 – 2x+7
g(x) = 4x2 – 2x + 9

Answers

Answer:

6x^2 -4x +16

Step-by-step explanation:

(2x^2 -2x +7) + (4x^2 -2x +9)

6x^2 -4x +16

The sum of ages of three brothers is 79. If James I’d half as old as Brandon and Marshall is 11 years younger then Brandon how old is the youngest brother?

Answers

Answer:

The youngest brother is James and his age is 18 Years.

Step wise explaination:

Lets suppose,

age of James = x

age of Brandon = 2x

age of Marshall = 2x - 11

The sum of ages of three brothers = 79

now,

finding the value of x,

x + 2x + 2x - 11 = 79

or, 5x - 11 = 79

or, 5x = 79 + 11

or, 5x = 90

or, x = 90

5

so, x = 18.

Then,

age of James = 18.

age of Brandon = 18 = 36.

age of Marshall = (2×18) - 11 = 25.

Therefore,

The youngest brother is James and his age is 18 Years.

Please mark me as Brainliest.

In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?

Answers

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. How much did thier night out cost if the tax rate is 8%?

Answers

Answer:

their night cost them $33.21

Step-by-step explanation:

26°
58°
X
What is the measure of angle x in degrees?
a. 70°
b. 84°
C. 96°
d. 122°

Answers

Answer:

b. 84

Step-by-step explanation:

180-26-58=96

180-96=84

Show Your Work. Find The Length of SU ~(Will Give Brainliest) :)

Answers

Answer: 14

Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14

Answer:

14

Step-by-step explanation:

QR = 5   RS = 5   and   ST = 5

If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.

Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?

Answers

Answer:

(-1, 8)

Step-by-step explanation:

Given P to be the point that divides the coordinates J and K in the ratio 1:3

then the coordinate of point P will be xpressed as;

P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]

Given J = (-4, 11) and K = (8, -1)

[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]

substituting the given parameters into the line division formula

[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]

Hence the coordinates of P is (-1, 8)

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.

Answers

Answer:

10.75 is the answer I think

Solve for the following variable.

Answers

Answer:

answers in the explanation.

Step-by-step explanation:

1. x=12

2 x=7

3.x=8

4.x=5

Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25

Answers

Answer:

Option D. y = – 5x² + 20x + 25

Step-by-step explanation:

We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:

The solutions are simply the values through which the graph cuts the x-axis.

The solutions are x = – 1 and 5.

Next, we shall obtain the equation for the graph as follow:

x = – 1 Or x = 5

x + 1 = 0 or x – 5= 0

(x + 1) (x – 5) = 0

Expand

x(x – 5) + 1(x – 5) = 0

x² – 5x + x – 5 = 0

x² – 4x – 5 = 0

Multiply through by 5

5x² – 20x – 25 = 0

Rearrange

0 = 0 – (5x² – 20x – 25)

= – 5x² + 20x + 25

Thus, the equation is:

y = – 5x² + 20x + 25

Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)

Answers

Answer:  (4,2)

==========================================================

The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]

In short: add the corresponding coordinates, then divide by 2.

Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:5

Step-by-step explanation:

30 chapters in 6 hours. 30/6 =5

5 chapters per hour

Divide 30 by 6 and it gives you 5
If you want to check ur answer, plug in ur answer which in this case it’s 5 and multiply it by 6, it gives you 30 chapters in 6 hours.

Divide8/9 and 8. Express your answer in simplest form

Answers

Answer: The answer is 0.11 in decimal form.

Step-by-step explanation:

The temperature falls from 0 degrees to -12.4 degrees in 3 hours. Which expression finds the change in temperature
per hour?

Answers

Answer: should be 4.13

Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on

What is the value 4 x (-6.3)

Answers

Answer:

-252

Step-by-step explanation:

4 * -6.3

-252

Anytime you multiply a positive number to a negative number, it will always be negative.

Best of Luck!

Answer:

-252 is the correct answer to this question

Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP

Answers

Tom would have enough money to buy 6 bags

Answer:

6

Step-by-step explanation:

40 - 21.40 = 18.6

18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend

3.6 divided by 0.58 = 6.20

so rounded, the answer should be 6 packages of skittles

I NEED HELP ASAP PLEASEEE
Evaluate the expression for r = 5.
2r2 − 10r + 40 + 2r =

Answers

Are you looking for what the answer to the equation because that is 212

Answer:

50

Step-by-step explanation:

[tex]2( {5}^{2} - 10 \times 5 + 40 + 2 \times 5) \\ = 2(25 - 50 + 40 + 10) \\ = 50[/tex]

what is 5000000 times 21113221

Answers

Answer:

1.0556611e+14

Step-by-step explanation:

1.05566105 + 14

It takes 5 people 5 minutes to make 5 toys. How long would it take 100 people to make 100 toys?

Answers

Answer:

5 minutes

Step-by-step explanation:

5 people take 5 minutes to make 5 toys

1 person takes 25 minutes to make 5 toys

100 people take 0.25 minutes to make 5 toys

100 people take 0.05 minutes to make 1 toy

100 people take 5 minutes to make 100 toys

What’s the answer for the problems 11-15 in the picture

Answers

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

Solve using 2-step equations.
You got a job which only pays salary without commission.
You earn $40,000 per year. You're living with your parents,
so bills this month will only be $400, but you want to put
$2000 into your savings.
After paying bills and putting money aside in savings, how
much will you have left over?

Answers

400 x 12 = 4800
4800 + 2000 = 6800
40000 - 6800 = 33200

You will have $33,200 left over

4(2-4x)-3x=65 Whats the answer and how did you solve it?

Answers

Answer:

x= -3

Step-by-step explanation:

Distribute 4(2-4x) which leaves you with 8-16x-3x=65

combine the like terms which leaves you with 8-19x=65

subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57

lastly divide -19 from both sides which leaves you with x= -3


Solve the equation 3(m + 5) = 3 + 3(2m + 2) for m.

Answers

Answer:

m=2

Step-by-step explanation:

Answer:

[tex]m=2[/tex]

Step-by-step explanation:

[tex]3\left(m+5\right)=3+3\left(2m+2\right)[/tex]

Expand:

[tex]3m+3\times5=3+3\times2m+3\times2[/tex]

[tex]3m+15=3+6m+6[/tex]

[tex]3m+15=6m+9[/tex]

Subtract 15 from both sides:

[tex]3m+15-15=6m+9-15[/tex]

[tex]3m=6m-6[/tex]

Subtract 6m from both sides:

[tex]3m-6m=6m-6-6m[/tex]

[tex]-3m=-6[/tex]

Divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{-6}{-3}[/tex]

[tex]m=2[/tex]

please help ! Easy 7th grade math ! It’s talking about integers!!

Answers

the answer is -7

since it says “under par” it means that it’s in the negative area. now that we know the area that the number is in we can conclude it’s -7 :)

I am a multiple of 70. I am between 500 and 1000. My tens digit is odd. What number could I be?
Plz help also can you show the explanation too!

Answers

Answer:

Step-by-step explanation:

490 = 70 * 7

560 = 70 * 8

630 = 70  *9

700 = 70 * 10

770

840

910

You can fill in the other 3

So the number can be 630 770 or 910

Answer:

630, 770, 910

Step-by-step explanation:

They are multiples of 70 and the tens place number is odd 630, 770, 910

100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.

Answers

Answer: x=6.9

Step-by-step explanation:

In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.

65.37= 8.3x + 8.1                [subtract both sides by 8.1]

57.27=8.3x                          [divide both sides by 8.3]

x=6.9

Now, we know x=6.9.

Answer:

6.9

Step-by-step explanation:

reflect (9, -3) across the y-axis. Then reflect the resukt across the x-axis. what are the coordinates to the final point

Answers

Answer:

(-9, 3)

Step-by-step explanation:

Reflect over y-axis: (-9, -3)

Then over x-axis: (-9, 3)

Other Questions
Katie and her family are moving to a different community. What is the best way to learn about the various physical activities available where she is moving? Can someone help with this Select the correct answer.Read the excerpt from the passage.In the first frantic greetings lavished on himself as a noted sufferer under the overthrown system, it had been accorded to him to have Charles Darnay brought before the lawless Court and examined.Which type of phrase is the underlined portion of the sentence?A. adverbial phraseB. verb phraseC. adjectival phraseD. absolute phrase why were southerners in favor of texas annexation and northeners opposed to it?Explaination:helpppppp I need asap! Find the domain and range of f(x)=|x|+ cos xI need help ASAP URGENT!!! James has $40 to spend. He wants to buy two tickets to a show. He has to spend $7 to get to where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2r +7 23.5 Or> 16.5 2gallon container of window cleaner costs $15.04. What is the price per cup? steve cycled 35 miles At the movies, children's tickets are $6 each and adult's tickets are $10 each.Shandra buys 14 tickets. Let a be the number of adults going to the movies. Writean algebraic expression to represent the total price Shandra pays. Use elimination to solve and match each system of equations to the correct solution. 3x+y=11 5x-y=21 Help with this one Ill give u brainliest Which is NOT cause by light pollution A) increased difficulty of solar viewingB)Faint stars are more difficult to seeC)Celestial object are less obviousD) disruption of hibernation or migration cycles 4. Which value of n makes the equation 6.4n 1.2 + 3n + 8.2 = 19.22 true? HELP PLS....... Which of the following would not be descriptive of the outer Coastal Plain? moderately marshy land, no drained soil, underground water sources, little farmland, Why was the 1983 Payment-in-kind act made? Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets aresold, and the total value of the ticket is $4100. How many of each kind of ticket were sold? Provide the appropriate forms of tener and then translate the sentences How were Japan and China culturally different at the end of the 19th century? 4. At lunch, Samantha bought a sandwich for$2.75, milk for $0.75 and 2 cookies for $0.50each. If tax is 8%, how much tax did Samanthajust pay for lunch? (CP)Work: Kevin is 5 1/2 feet tall. Jane is 5 3/8 feet tall. Who is taller. How much taller. Who ever answers this first gets brainlistWhat is 6^8