(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?

(pre-calc) Use Limit Laws To Determine The Limit Of A(n). It Is Not -, So What Answer Is It And Why?

Answers

Answer 1

The limit of the function as the variable n tends to minus infinity is -1

Limit of a function

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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Related Questions

max picks two different cards without replacement from a standard $52$-card deck. what is the probability that the cards are of different suits?

Answers

The probability that cards are from different suits is [tex]\frac{39}{51}[/tex]

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=[tex]\frac{624}{2652} =\frac{12}{51}[/tex]

probability that the cards are of different suits=[tex]1-\frac{12}{51} =\frac{39}{51}[/tex]

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Plzz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

12.50

Step-by-step explanation:

i think

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Write a unit rate for the ratio.
45 miles on 3 gallons of gasoline
a 20 miles per gallon
b 15 miles per gallon
C 35 miles per gallon
d
45 miles per gallon

Answers

Answer: B 15 miles per gallon



Explanation: To find a unit we must get the bottom number to 1 so we would divide 3/3 and repeat the process to 45 so it would be 45/3 which equals to 15 we can check our work by multiplying 15*3 which is equal to 45 have a nice day (:

Find the missing angle in the triangle below

Answers

The answer would be 58

180 - 65 - 57 = 58 which is the missing angle

A triangle is equal to 180.

65+57=122

122+58=180

The answer is A.

!!ONLY TWO QUESTIONS!!
(Also only answer if u know it. Have a good night btw)

This really matters to me so please help idk what to do

What is the main difference between vascular and non-vascular plants? *

Suppose you find a plant that has a woody stem and is taller than you. Would you classify the plant as vascular or non-vascular. Explain. *

-science

Answers

Answer:

The main difference between a vascular and a non-vascular plant is that a vascular plant has vessels that can carry food and water to all the other parts of the plant. the arrangements of the cell in a non-vascular plant is also a lot simpler.

Step-by-step explanation:

I would classify the plant as vascular because vascular plants tend to be really tall and large in comparison to non-vascular plants.

which choice is equivalent to the expression below? ^-64​

Answers

Answer:

A. 8i

General Formulas and Concepts:

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

√-64

Step 2: Evaluate

Factor:                     √-1 · √64Simplify:                   i · 8Multiply:                   8i

A 45 foot tall tree casts a shadow that is 58 feet long. Find the measure of the angle of elevation of the sun from the tip of the shadow to the top of the tree. Round your answer to the nearest degree.

Question options:
A 90
B 38
C 45
D 52

Answers

Answer:

d

Step-by-step explanation:

Joe bidenisapedophi and likes little children recomend u stay away from the freak

Hello I hope you are doing well . i have a question lease could you answer it with the explication thanks:

thanks

Answers

Answer:

The equations are;

4(2x + 5) = 3(2x + 8)

x = 2

Perimeter of each shape is 36

Step-by-step explanation:

Mathematically;

The perimeter of a square is 4L

while the perimeter of an equilateral triangle is 3L

where L represents the lengths of the sides

Mathematically, from what we have in the question, since the perimeter are equal;

4(2x + 5) = 3(2x + 8)

8x + 20 = 6x + 24

8x-6x = 24-20

2x = 4

x = 4/2

x = 2

The side of the square will measure;

2(2) + 5 = 9

Its perimeter is 4(9) = 36

The side of the triangle will measure

2(2) + 8 = 12

Its perimeter will be 3(12) = 36

Which of these numbers is irrational?
O A. 6/17
O B. 5
O c. 1.4
O D. -4.99

Answers

B. because it cannot be written as a fraction! hope this helped!!

Find the area of the figure. Write the answer is radical form

Answers

[tex]Answer:\ S=96\sqrt[4]{x^9}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\(4x)^\frac{3}{2}=\\\\ (2^2x)^\frac{3}{2} =\\\(2^2)^\frac{3}{2} x^\frac{3}{2} =\\\\2^\frac{2*3}{2} x^\frac{3}{2} \\\\2^3x^\frac{3}{2}=\\\\8x^\frac{3}{2}[/tex]

Thus,

[tex]S=8x^\frac{3}{2} *12x^\frac{3}{4}\\\\ S=8*12x^{\frac{3}{2} +\frac{3}{4}} \\\\S=96x^\frac{3*2+3}{4} \\\\S=96x^\frac{6+3}{4} \\\\S=96x^\frac{9}{4} \\\\S=96\sqrt[4]{x^9}[/tex]

What is the value of the following expressions?

Answers

Answer:

9 is the answer.

Step-by-step explanation:

( -89)/(-9)

When (-) I'd divided by (-) it changes into (+)

Soo, the answer is 9

Victor is attending a local fair and wants to go on at least 12 rides. The spinning rides cost $2 each, and the roller coasters cost $3 each. Victor has $30. Write a system of inequalities to determine if the combination of 6 spinning rides and 7 roller coasters is viable.

A. x+y≥12
2x+3y≤30
The combination of 6 spinning rides and 7 roller coasters is viable.


x+y≥12
2x+3y≥30
B. The combination of 6 spinning rides and 7 roller coasters is viable.


x+y≥12
2x+3y≤30
C. The combination of 6 spinning rides and 7 roller coasters is not viable.


x+y≥12
2x+3y≥30
D. The combination of 6 spinning rides and 7 roller coasters is not viable.

Answers

Answer:

B?

Step-by-step explanation:

Answer: B hope this helps if wrong I’m so sorry

Can anyone help me ill give brainliest

Answers

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes

Answers

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

The scale on a map is 0.25 inches : 1¾ miles. If two cities are 1.8 inches apart on the map, what is the real life distance between them?

Answers

Answer:

12.6 miles I think. I would wait for another answer to be possitive.

If you don't know it, don't answer it.

Describe the vertical line test.
A: If a vertical line can be drawn anywhere in the graph the line will pass through the graph in more than one spot.
B: If a vertical line can be drawn anywhere in the graph the line will pass through the graph in only one spot.
C: If the graph is a vertical line, it is a function.
D: If the graph is not a vertical line, it is a function.

Answers

Answer:

B

Step-by-step explanation:

Vertical line test = if u draw a vertical line in the graph and it passes through the graph lines once. then it passes. The option that represents this is B.

Hope this helps plz hit the crown :D

Answer:

It's definitely B.

Step-by-step explanation:

carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. which equation can he use to find x, the number of gallons that should be evaporated? original (gallons) removed (gallons) new (gallons) amount of salt 13.5 0 amount of solution 90 x startfraction 13.5 over 90 minus x endfraction

Answers

The value of X for carlon evaporate is 36. 

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given that

Total amount of solution = 90          

total amount of salt = 15 % of 90

                                             = [tex]90 \times \frac{15}{100}[/tex]

                                             = 13.5        

Now removed X from the solution

Then, remaining solution is 90 - X

Percentage of salt in the remaining solution [tex]= \frac{salt}{remaining solution}[/tex]

Given that , % of salt in the remaining solution is equal to 25% then, Percentage of salt in the remaining solution

⇒ [tex]\frac{salt}{remaining solution}[/tex] = 25%

⇒ [tex]\frac{13.5}{90 - X} = \frac{25}{100}[/tex]

⇒1350 = 2250 - 25 x

⇒ 25 x =  2250 - 1350            

⇒ 25 x =  900          

⇒ x = [tex]\frac{900}{25}[/tex]          

⇒ x =36

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Find the value of (2x - 2y)/x when x = - 4 and y = - 3

Answers

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(2x - 2y)/x

x = -4

y = -3

Step 2: Evaluate

Substitute:                    (2(-4) - 2(-3))/-4Multiply:                        (-8 + 6)/-4Add:                              -2/-4Simplify:                        1/2

Please can someone help me with this maths question ‍♀️:
Solve 5x+2=20

Answers

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 2 = 20

Step 2: Solve for x

Subtract 2 on both sides:                    5x = 18Divide 5 on both sides:                        x = 18/5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(18/5) + 2 = 20Multiply:                               18 + 2 = 20Add:                                     20 = 20

Here we see that 20 does indeed equal 20.

∴ x = 18/5 is a solution to the equation.

(-4/7) ÷(16/49)
Find the answer​

Answers

Step-by-step explanation:

cross product. Ise the butrerfly or cross and bones method. Multiply -4 and 49. Put that in the numerator. Then multiply 7 and 16. Put that in the denominator. Then reduce if u can.

- 1/7 = 1.75 I think

what would y=x +5 look at on a graph

Answers

I think it will look like this

Mila invested $1,500 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached $2, 100 in the year 2015. Determine the value of the account, to the nearest dollar in the year 2024.

Answers

Answer:

$3867.80

Step-by-step explanation:

f(x)=a(1+r)^{x}

f(x)=exponential growth function

a=initial amount

r=growth rate

{x}=number of time intervals

so let x=years

start amount is 1,500

1,500(1+r)^5=2100

(r+1)^5= 7 /5

((r+1)5) ^1 /5 =( 7 /5 ) ^1 /5

r=0.06961

which is rounded 7 percent growth rate

2024-2010=14 years

1,500(1+0.07)^{14}=

3867.801225

Now round cause it's money

$3867.80

On a bicycle, DaNeeka rides for 6 hours and is 68 miles from her house. After riding for 12 hours, she is 134 miles away. what is her rate ?

Answers

Answer:

Step-by-step explanation:

Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should he use?

Answers

Answer:

6.25 cups of water

Step-by-step explanation:

So I first write out the rates: 4:2.5 and also 10:?

So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.

To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.

So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.

So 4:2.5  =  10:6.25  

?=6.25

Hope this helps!

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Answers

Answer:

I think: 0 = 3x + b or b = -3x + 0 or x = -b + 0/3 or 3 = -b + 0/x

Sorry if you get this wrong..

Find the value of x plz.

Answers

The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.

Here is the set up:

x + x + 32 = 180

2x + 32 = 180

2x = 180 - 32

2x = 148

x = 148/2

x = 74

The value of x is 74 degrees.

what is equation of straight line shown below give answer in form y=mx+c where m and c are intervenes or fractions in simplest form

Answers

y=2x+6
The gradient is can be calculated as 6/3, and the y-intercept is 6

The equation of the straight line is y = 2x + 6.

What is an equation of a line?

An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of the points on the line. There are several different forms of the equation of a line, but the most commonly used is the slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

We have,

To find the equation of the straight line passing through the points (-3, 0) and (0, 6), we can use the slope-intercept form of a linear equation, which is:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We can first find the slope of the line using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

[tex]where ~(x_1, y_1) = (-3, 0) ~and ~(x_2, y_2) = (0, 6):[/tex]

So,

m = (6 - 0) / (0 - (-3)) = 6/3 = 2

Now we can substitute the slope and one of the points into the slope-intercept form to find the y-intercept:

y = mx + c

0 = 2(-3) + c

0 = -6 + c

c = 6

Therefore,

The equation of the straight line is y = 2x + 6.

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solve 68 x (-19) + (-68) using distributive property

Answers

Answer:

-1360

Step-by-step explanation:

factor the expression : 68(-19-1)

calculate the difference ; 68 x ( -20 )

multiply the numbers ; -1360

solution ; -1360

Which equation represents a line with a slope of 4 and goes through (5, 2)?

Answers

Answer:

y=4x-18

Step-by-step explanation:

y-2=4(x-5)

y-2=4x-20

y=4x-18

is it right? and if so what would the equation be (i’m rlly bad at this stuff)

Answers

Answer:

you're right

Step-by-step explanation:

when a slope is equal to 0 that makes it undefined

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