Finding the limit on Mathematica. How do I type this in Mathematica?

Finding The Limit On Mathematica. How Do I Type This In Mathematica?

Answers

Answer 1

See the documentation for the Limit symbol for more info.

i. Limit[(t^3 + 3t^2 - 12t + 4)/(t^3 - 4t), t -> 2]

ii. For a one-sided limit, is the Direction option.

Limit[(y + 6)/(y^2 - 36), y -> 6, Direction -> -1]

The option value -1 essentially means we treat y as if it's greater than 6, so its value has to decrease in order to approach 6.


Related Questions

In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined

Answers

Answer:

The answer is D cannot be determined

Step-by-step explanation:

this is because you don't have enough information

HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...

Answers

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

Find the average rate of change of k(x) = x' over the interval [3, 9].

Answers

Answer:

y=6x×2/4

x=7

thanks for the points

Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.

Answers

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

A parabola having its axis vertical passes through three points A(0,0), B(1,0), and C(5,-20) respectively. Determine the coordinates of the vertex of the parabola.

Answers

Answer:

(1/2, 1/4)

Step-by-step explanation:

This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:

0 = c

0 = a + b

-20 = 25a + 5b

After rearranging and solving, we get:

b = -a

-20 = 20a

a = -1

b = 1

y = -x^2 + x

Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).

calculate each angle measure.

Answers

Answer:

m1=90

m2=68

m3=112

m4=112

m5=68

m6=56

m7=124

m8=124

how many feet in 13 miles, 176 yards?

Answers

69,168

Cause:

1 mile = 5280 ft
13 miles · 5280 ft = 68,640 ft

1 yd = 3 ft
176 yds · 3 ft = 528 ft

pls help me right now! and answer correctly​

Answers

Answer:

8.a 9.d 10.a 11.b

Step-by-step explanation:

this is multiple one .so no steps

Please take a look at the picture.

Answers

Answer:

I think it is total cost

what numbers form a right triangle
A- 3, the square root of 9, The square root of 18
B- 3 , 4, 5
C- 7, 7, square root of 98
Choose all that Apply​

Answers

let's recal the pythagorean theorem, where c² = a² + b², namely, the largest number squared is equal to the sum of the two smaller ones squared.

well, we can just start by say in A, looking the smaller sides, 3 and √9, if we squared both and add them up, do they give the largest one of √18?

[tex]\boxed{A} \\\\ 3^2+(\sqrt{9})^2 = (\sqrt{18})^2\implies 9+9 =18\qquad \textit{\Large\checkmark} \\\\\\ \boxed{B}\\\\ 3^2+4^2=5^2\implies 9+16=25\implies 25=25\qquad \textit{\Large\checkmark} \\\\\\ \boxed{C}\\\\ 7^2+7^2=(\sqrt{98})^2\implies 49+49=98\implies 98=98\qquad \textit{\Large\checkmark}[/tex]

so they all apply.

Introduction to Dividing Whole Numbers
Five friends shared $87 and kept this record of how they did it. What does the 2
represent?

Answers

Answer:

probably a

Step-by-step explanation:

There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?

Answers

Answer:

I know answer. give me money I will tell everything..

(2³ x 2⁵) ÷ 2⁸
Solution​

Answers

Answer:

it is 1

Step-by-step explanation:

Let's use PEMDAS (do the parenthesis first).

2 to the 3 = 2x2x2 = 8

2 to the 5 = 2x2x2x2x2 = 32

8 x 32 = 256 (all the solutions are factors of 2048).

2 to the 8 = 2x2x2x2x2x2x2x2 = 256 again

256 / 256 = 1

There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?

Answers

Answer:

25%

Step-by-step explanation:

25% of 12 is 3

25% of 8 is 2

5 people out of 20 people

5/20 = 25%

25% percent of the entire class is going on the field trip

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

There are 12 girls and 8 boys in Ms. Crabapple's class.

The total number of students

12+8=20

25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,

25% of the girls =0.25×12=3

25% of the boys =0.25×8=2

So the total number of students went to field trip

3+2=5

So out of 20 student, 5 students went to the field trip.

Which means 25% of the entire class is going on the field trip

Hence, 25% percent of the entire class is going on the field trip

To learn more on Percentage click:

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help ASAP DUE in 10 minutes do not spam or you will get reported A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 5.7 yards of fencing to the width of the pen, but the length will remain 9.5 yards. The new area will be 77.9 square yards.​

Answers

Answer:

The one you have selected is correct. 9.5(w+5.7)=77.9

Step-by-step explanation:

Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.

Answer:

9.5(w+5.7)=77.9

Step-by-step explanation:

took the test

Write 5y to the 3rd power without exponents

Answers

Answer:

5y*5y*5y

Step-by-step explanation:

uhh no explanation cuz logic

The 3rd power of the term 5y without exponents is 125.y.y.y

What is power of any number?

If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times

The given term is 5y,

To find the third power of 5y,

The cube of 5y = (5y)³

To write the 3rd power without exponents,

Simplify the term (5y)³.

(5y)³ = 5y x 5y x 5y

       = 125 y.y.y

The required 3rd power of 5y without exponents is 125.y.y.y.

To know more about Power on:

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what is 0.5734 rounded to the nearest thousandth​

Answers

Answer:

0.573

Hope that helps :)

0.5734 rounded to the nearest thousandth is 0.573

Explanation:

3 is the thousandths, so you would round up by looking at the number to the right which is 4. Since 4 is not greater than 5, it wouldn’t change the 3.

if 1 dollar equals 0.72p what is the exchange rate from pounds to dollars

Answers

Answer:

1 pound = 1.389 dollars  ( to nearest thousandth)

Step-by-step explanation:

1 pound = 1/0.72 =  1.388888...

The question is asking for what 1 pound is in dollars based on the ratio.

0.72p is equal to 72/100 pounds.
On the left is dollars and the right is the pounds
1 = 72/100

Multiply both sides by 100 as we want the right side to equal 1
100 = 72

Divide both sides by 72 to get 1 (pound) on the right

100/72 = 1

This means that the answer is:
1 pound is equal 100/72 or 1.38888888…. Dollars

A cable company charges $99 for installation plus $40 per month. If you paid $459 over a period of time, How many monthes did you use that cable company?

Answers

Answer:

9 months

Step-by-step explanation:

99 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 = $459

We can see that the number of 40's has been repeated 9 times. So therefore, 9 months is our answer.

ratio 12:30 in the form 1:n

Answers

Answer:
1:2.5

Step by step explanation:
12:30
÷ by 12 each side
= 1:2.5

Hope this helps!

4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.

Answers

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

what number is its own opposite?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

Quadrilateral BCHS is a parallelogram with diagonal BH

intersecting diagonal CS at P.

angle BCH = 3x-3.86

angle CHS = 2x+6.58

Find the measure of angle HSB

Answers

Answer:

Step-by-step explanation:

HSB will equal BCH

The four internal angles of a parallelogram sum to 360°

Opposite internal angles are equal.

2(3x - 3.86) + 2(2x + 6.58) = 360

6x - 7.72 + 4x + 13.16 = 360

10x = 354.56

x = 35.456

HSB = (3(35.456) - 3.86) = 102.508°

find the lengths of lien segments AC & CB

Answers

Answer:

AB = 28cm

point C partitions AB into a ratio 1:3

they say to find the lengths of AC and CB

Usually in maths questions like this look at the order of things placed. Meaning…

ratio — 1:3

find — AC and CB

1 — AC

3 — CB

so now we know

1:3

AC:CB

1+3 = 4

28/4 = 7

7*1 = 7 = AC

7*3 = 21 = CB

Which (I believe) is the second option

How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?

Answers

Answer:

That's is not Different

Step-by-step explanation:

Including to 2000 and 6666 itself is not Different

Answer:
That is not different

Which equation represents a circle whose center is (3,-1) and whose radius is V6?​

Answers

Step-by-step explanation:

(Pie)r^2 that is the area of a circle


Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.

Answers

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.


The original quantity is 10 and the new quantity
is 13. What is the percent change? Is it an
increase or decree?









Answers

Answer:

30 %

Step-by-step explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %

The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey? (Correct answer will get BRAINLIEST)

Answers

Answer:

50/7

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x+2x+x=50

Step 1: Simplify both sides of the equation.

4x+2x+x=50

(4x+2x+x)=50(Combine Like Terms)

7x=50

7x=50

Answer:

50/7

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x+2x+x=50

Step 1: Simplify both sides of the equation.

4x+2x+x=50

(4x+2x+x)=50(Combine Like Terms)

7x=50

7x=50

1. The method of substitution is likely the best method for which system?

−8x−2y=18x−2y=5

2x+y=103x+2y=5

5x−2y=32x+2y=1

−3x+2y=93x−5y=4


2. Solve the system of equations using the substitution method.

5x−4y=−15x−3y=−3

(3, 0)

(0, -4)

(-3, 0)

(0, -3)

Answers

Answer:

2.) x=−3 and y=0

Step-by-step explanation:

im still tryna figure out answer to number 1. sorry

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