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

Someone pls help me on this! ASAP pls I’ll mark you as a brainliest.

Answers

Answer:

almonds are worth 50 cents per ounce

peanuts are worth 25 cents per ounce

almonds are worth more per ounce

Step-by-step explanation:

I just divided 50 cents by 2 to get the cost per ounce of the peanuts, and I plugged 1 into the x in the equation that was given for almonds

Answer:

Almonds=50 cents per ounce

peanuts are 25 cents per ounce

how do i convert 5/6 into a decimal

Answers

~fractions

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

5/6

= 5 ÷ 6

= 0,83333333333

rounded to

= 0,833 ✔️

~ nice to help you ^^

Answer:

⅚ = ...

= 5 ÷ 6

[tex] \approx \bold{0.833}[/tex]

Solve for k:

k + 6 > -37

Answers

Answer:

[tex]\sf k + 6 > -37[/tex]

[tex]\sf k+6-6>-37-6[/tex]

[tex]\boxed{\sf k>-43}[/tex]

Answer:

Subtract 6 from both sides:

K +6 - 6 > - 37 - 6

Simplify the arithmetic:

k > - 37 - 6

Simplify the arithmetic

k > - 43

what are the reasons to #3 and #5??

options for both #3 and #5

- CPCTC
- Given
- When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary
- opposite sides of a parallelogram are parallel
- reflexive property
- angles that are supplementary to the same angle are congruent

Answers

Answers:

3) When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary.5) angles that are supplementary to the same angle are congruent.

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

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.

A number w increased by 6 is at most -30.

Answers

Could be -24 if you are raising the -30 by 6.

Please help please help please help please help

Answers

Answer:

2  ,   3

Step-by-step explanation:

The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assume
that the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities

Answers

Answer:

y = 8.48x + 108.92227.64236.12

Step-by-step explanation:

According to given we have (x, y) pairs:

(11, 202.2) and (16, 244.6)

Work out the equation of the line.

Find the slope:

m = (244.6 - 202.2)/(16 - 11) = 8.48

Find the y- intercept using one pair of coordinates:

202.2 = 8.48*11 + bb = 202.2 - 93.28b = 108.92

The line is:

y = 8.48x + 108.92

Find the value of y when x = 14 and x = 15:

y = 8.48*14 + 108.92 = 227.64y = 8.48*15 + 108.92 = 236.12

4) A teacher has an annual income of $51,750. The income tax the teacher has to pay is 7%. What is the amount of income tax in dollar and cents the teacher has to pay?
A) $3,448.25
B) $3,622.50
C) $3,891.10
D) $3,933.01

Answers

9514 1404 393

Answer:

  B)  $3,622.50

Step-by-step explanation:

To find the tax, multiply the income by the tax rate:

  $51,750 × 0.07 = $3,622.50

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

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Every unit on the left side of the table is going to go on the horizontal or x axis. With a measurement of 2 you got 2 to the right of the origin. Then the right side of the table is the vertical or y axis. And your first number there is one so after you go two right of the origin go up one. Now do that for all pairs, do not connect any lines and remember the rule for graphs, first you go in the elevator (act on x first) then you go up (y next)

What is the median of these figure skating ratings? 5.0 6.0 7.0 7.5 8.0 9.0 10.0​

Answers

to find the median, line the numbers up from smallest to largest
5.0, 6.0, 7.0, 7.5, 8.0, 9.0, 10.0
then, go from outside in, alternating from left and right, crossing out numbers until you have 1 number left.
Example:
6.0, 7.0, 7.5, 8.0, 9.0, 10.0
6.0, 7.0, 7.5, 8.0, 9.0
7.0, 7.5, 8.0, 9.0
7.0, 7.5, 8.0
7.5, 8.0
7.5 is the median

y varies directly as x and x=20 when y=15. Find y when x=68

Answers

answer: when x=68, y = 51

Assignments
In a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41
A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1
through 41). What is the probability of winning the minimum award?
Study Plan
Gradebook
The probability of winning the minimum award is
(Type an integer or a simplified fraction

Answers

The probability of winning the minimum award is very small, approximately 1 in 185 million.

To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.

To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.

There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.

So, the probability of winning the minimum award is:

(favorable outcomes) / (total outcomes)

= [(4 choose 2) × 1] / [(52 choose 4) × 41]

= (6 × 1) / (26,827,440 × 41)

= 6 / 1,100,701,040

≈ 0.0000000054 or 5.4 × 10⁻⁹

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
PLEASE SHOW ME A PICTURE OF THE GRAPHED ANSWERS.

Answers

[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]

[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]

And

[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]

[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]

[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]

Graph attached

Write an integer to represent each situation


1. walking to the track 6 feet ______
2. digging 10 holes a day _____
3. writing 5 papers ______


Find the absolute value

1. /-3/3 2. /+3/3 3. /-2/

4. /-6/ 5. /+9/ 6. /-15/

7. /=32/ 8. /+32/ 9. /-47/

10. /+78/​

Answers

Answer:

1. 6 2. 10 3. 5

for others see below

Step-by-step explanation:

1. 6 feet

2. 10 holes

3. 5 papers

1./-3/3=3*3=9

2. /3/3=3*3=9

3./-2/=2

4./-6/=6

5./9/=9

6. /-15/=15

7. /-32/=32

8. /32/=32

9. /-47/=47

10. /78/=78

What is the slope and y intercept form of -5x + 3y =-9.
What is the slope and y intercept form of -x +2y =-20
fast help.

Answers

Answer:

y = 5/3x - 3 and y = 1/2x - 10

Step-by-step explanation:

A. -5x + 3y = -9

In order to go from standard to slope-intercept form, we want to isolate y on the left side.  We start by adding 5x to both sides:

3y = -9 + 5x

Next, we divide both sides by 3:

y = (-9 + 5x)/3

And then distribute:

y = -9/3 + 5x/3

And finally simplify:

[tex]y = -3 + \frac{5}{3}x[/tex]

And move the numbers on the right to fit the form y = mx + b:

[tex]y = \frac{5}{3}x-3[/tex]

B. -x + 2y = -20

In order to go from standard to slope-intercept form, we want to isolate y on the left side.  We start by adding x to both sides:

2y = -20 + x

Next, we divide both sides by 2:

y = (-20 + x)/2

And then distribute:

y = -20/2 + x/2

And finally simplify:

[tex]y = -10 + \frac{1}{2}x[/tex]

And move the numbers on the right to fit the form y = mx + b:

[tex]y = \frac{1}{2}x - 10[/tex]

how to do surface area

Answers

Answer:

Step-by-step explanation:

Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:



. Consider the set {7,8,9), a subset of this set includes:
{2,3}
b. {5,63
c. none of these
d. {10,11

Answers

Answer:

Option "C" none of these is the correct answer.

Step-by-step explanation:

The subset of the set {7, 8, 9} must have the elements of this set only.

Hope this helps :)

What is the value for x if 2x+3=20 that makes the equation true

Answers

Answer:

x = 8.5

Step-by-step explanation:

2x+3=20

2x = 17...........subtract 3 from both sides

x = 8.5............divide both sides by 2

Please help me answer this question!!!

Answers

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

Help help help pelesss please

Answers

Answer:

its 1

Step-by-step explanation:

it literly says it on the grid and its really simple


Find the length of a diagonal of a 6 inch square.


Answers

Answer:

Step-by-step explanation:

If square is split into two from diagonal then it forms two right angled triangles which are congruent.

Therefore we can use Pythagoras theorem as we know side

d^2=6^2+6^2

d=√72

d=6√2

d=8.485 inches

Method 2:

Using formula

d=s√2

d=6√2

d=8.485 inches

You can find length of diagonal of any square if you know the length of side using formula.

d=s√2

Where s is length of side

20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.

0.9500

0.5580

0.0401

0.0002

Answers

Answer:0.5580

Step-by-step explanation:

2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.

(a) What is the probability that you need to contact four people?

(b) How many students from the college you expect to contact until you find one lives within five miles of you?

(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?

(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?

(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?

How to do this five questions ? thanks​

Answers

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

55% of the students live within five miles of you, thus [tex]p = 0.55[/tex].

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence, since [tex]q = 1, p = 0.55[/tex]:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence, since [tex]n = 5, p = 0.55[/tex]:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

I need help for these 5 questions​

Answers

Answer:

1. 6²=36

2. 289[tex]\frac{1}{2}[/tex] = 17

3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]

4. 10³=1000

5. [tex]5^{4}[/tex]=625

Step-by-step explanation:

Answer:

1. 6² = 36

2. 289^1/2 = 17

3. 14^-2 = 1/196

4. 10³ = 1000

5. 5⁴ = 625

Step-by-step explanation:

I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").

Solve 4x-4 < 7x - 19

Answers

Answer:

x<5

Step-by-step explanation:

cuz im a methnerd l

Answer:X>5

Step-by-step explanation:

There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added ​

Answers

Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

Calculator
What is the measure of angle X?
Enter your answer as a decimal in the box. Round only your
answer to the nearest hundredth.
mZX

Answers

Answer:

X = 81.20º

Step-by-step explanation:

sinX = opp/hyp

sinX = 84/85

X = arcsin(84/85)

use calculator

X = 81.20º

Functions
Domain and Range

Answers

1)

Check the 1st picture below.

the arrows at the end of the lines are stating that the lines are continuing indefinetely, or namely to infinity, the lines go to infinity upwardly as well as sideways.

3)

Check the 2nd picture below.

the graph has a hole when x = 6 for the domain, meaning it doesn't include that point, but includes any values before it down to -5 and including -5.

PLEASE HELPP!!!!!!!!!!!

Answers

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;

Step-by-step explanation:

(24cm + 14cm + 25cm) 10 + 2 × 14

hope this help pls mark me Branliest

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