The graph should show a horizontal asymptote at y = 1/4 as x approaches infinity. Our guess for the value of the limit of f(x) as x approaches infinity is 1/4.
To guess the value of the limit of f(x) = (x⁴)/(4x) as x approaches infinity, we can evaluate the function for increasing values of x and observe the trend.
When x = 0, the function is undefined as we cannot divide by zero.
For x = 1, f(x) = 1/4.
For x = 2, f(x) = 2.
For x = 3, f(x) = 27/4.
For x = 4, f(x) = 4³/16 = 4.
For x = 5, f(x) = 625/20 = 31.25.
For x = 6, f(x) = 6³/24 = 27/2.
For x = 7, f(x) = 2401/28 = 85.75.
For x = 8, f(x) = 8³/32 = 16.
For x = 9, f(x) = 6561/36 = 182.25.
For x = 10, f(x) = 10³/40 = 25.
For x = 20, f(x) = 20³/80 = 100.
For x = 50, f(x) = 50³/200 = 312.5.
For x = 100, f(x) = 100³/400 = 2500.
From these values, we can see that as x increases, f(x) approaches 1/4. This is because the x in the denominator grows faster than the x^4 in the numerator, causing the fraction to approach zero.
We can also confirm this trend by graphing f(x) using a software or calculator. The graph should show a horizontal asymptote at y = 1/4 as x approaches infinity.
Therefore, our guess for the value of the limit of f(x) as x approaches infinity is 1/4.
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Rule: multiply by 2 Pattern: 3,6,12,24,48 Observation: Observation = something similar about the numbers
Step-by-step explanation:
This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.
Like for example:
3,6,12,24,48
The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:
3x2 = 6
6x2 = 12
12x2 = 24
24x2 = 48
It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.
A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What is the probability of the sum of the number's digits is odd?
Answer:
0.48
Step-by-step explanation:
Given the data:
X:
10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98
Sum of each of the numbers :
1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17
Probability that sum of the number's digit is odd:
Number of odd sum / total numbers
Number of odd sum = 12
Total numbers = 25
12 / 25
= 0.48
I need an explanation for the problem 4v2=-12v-9. I don't understand why it factors into 4v+3 and 4v+3
Answer:
The factors are [tex]2v+3,2v+3[/tex].
The factors are not [tex]4v+3,4v+3[/tex]
Step-by-step explanation:
Equation is [tex]4v^2=-12v-9[/tex].
This equation can be written as follows:
[tex]4v^2+12v+9=0[/tex]
Here,
[tex]12v=6v+6v[/tex]
Therefore,
[tex]4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0[/tex]
So, the factors are [tex]2v+3,2v+3[/tex].
The factors are not [tex]4v+3,4v+3[/tex]
What is the conjugate of
(-5 + 4i)?
Answer:
the answer to that is -1i
Step-by-step explanation:
cause if you add negative and positve you get to subtract it and get the sign of the highest number
HELP ASAP HELPPP MARKING BRAINLIEST
Answer:
answer is 68 1/8
Step-by-step explanation:
How many fluid ounces are in 1 quart? With work!
Answer: 32 fluid ounce = 1 quart
Hey I'm sorry. I don't know if there are any work to show for this but I will try.
1 quart=2pints
2pints=4cups
4cups=32 fl oz
This is all the work I could show for this problem, you really should memorize this though 32 fl oz in a quart, it is very useful real life information :)
If g(x) = 2x – 9, determine g(4) – g(1)
Step-by-step explanation:
g(x) = 2x - 9
g(4) = 2* 4 - 9
= 8 - 9
= - 1
g(1) = 2 * 1 - 9
= 2 - 9
= - 7
Now
g(4) - g(1)
= - 1 - ( -7)
= - 1 + 7
= 6
Hope it will help :)
y-2=1/2(x-4) in slope intercept form
Answer:
y = 1/2x
Step-by-step explanation:
y - 2 = 1/2 (x-4)
y = 1/2x - 2 + 2
y = 1/2x
(The y - intercept is 0 because -2 and 2 cancels each other out)
Hope this helps :)
Let me know if there are any mistake!!
The slope intercept form of the equation y - 2 = 1/2 (x - 4) will be
⇒ y = 1/2x
What is equation of line?
The equation of line in slope intercept form is defined as;
y = mx + b
Where, 'm' is slope of line and 'b' is y-intercept.
Given that;
The equation of line is;
y - 2 = 1/2 ( x - 4 )
Now,
We can change the equation of line in slope intercept form as,
y - 2 = 1/2 ( x - 4)
Solve as;
y - 2 = 1/2 x - 1/2 × 4
y - 2 = 1/2 x - 2
Add 2 both side,
y - 2 + 2 = 1/2 x - 2 + 2
y = 1/2 x
Thus, The slope intercept form of the equation y - 2 = 1/2 (x - 4) will be;
⇒ y = 1/2x
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help me plz plz i need my grades up
Answer:
Decimal: 2.1
Fraction: 21/10
tysm for whoever helps !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
21
Step-by-step explanation:
When you simply the fractions down, you will get this
[tex]16 + 5 = 21[/tex]
Hope this Helped
geometry: help needed, it’s urgent!
angle 1 measures 75 degrees, is this table right?
Answer:
angle 1 and 3 are alternate INTERIOR angles cos they are on the inside of the lines but you were close
In the number 8246315 what sigit is in the ones place
Answer:
5
Step-by-step explanation:
The ones place is the one most to the right that isn't after a decimal point.
Answer:
5, since it is all the way to the right
Step-by-step explanation:
if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !
i hope this helps !! :D
If A = 56° then find C.
Answer:
124
Step-by-step explanation:
If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.
I hope this helps!
Gabriella made 5 waffles for breakfast. She has 25 strawberries and 15 blueberries to put on top of the waffles. She will put a equal number of berries on each waffle.How many berries will gabrielle put on each waffle?
Look at the photo below.
Answer:
complement, 70; supplement, 160*
Step-by-step explanation:
I need help I am really struggling with math
Answer:
Okay what is it i might be able to help
Step-by-step explanation:
-(7p+6)-2(-1-2p)
what is that simplified?
Answer:
-3p-40
Step-by-step explanation:
-(7p+6)-2(-1-2p)
-7p-42+2+4p
-3p-40
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.
(b^4)2
Answer:
[tex](b^4)^2 = b^{8}[/tex]
Step-by-step explanation:
Given
[tex](b^4)^2[/tex]
Required
Simplify
In indices, we have:
[tex](a^m)^n = a^{m*n[/tex]
So:
[tex](b^4)^2 = b^{4*2}[/tex]
[tex](b^4)^2 = b^{8}[/tex]
Can 4(x+2)=10 equal 0
Answer:
x = 0.5
Step-by-step explanation:
The given expression is :
4(x+2) = 10
Using commutative property at LHS.
4x+8 = 10
Subtract 8 from both sides.
4x+8-8 = 10-8
4x = 2
x = (1/2) = 0.5
So, the value of x is equal to 0.5 instead of 0. Hence, the given expression cannot be equal to 0.
uM ANY help pls?
Hopely someone can help!
Answer:
He made 35% of his shots he did not make 65& of his shots
Step-by-step explanation:
7/20=35%, 20/7=65%
Find The Area of the parallelogram...
Answer:
162 ft^2
Step-by-step explanation:
the formula for finding the area of a triangle is [tex]\frac{b*h}{2}[/tex]
the base is 27 and the height is 12
[tex]\frac{27*12}{2}=\frac{324}{2} = 162[/tex]
Which Triangle appears to be both right and isosceles?
Answer: B
Step-by-step explanation: An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.
Solve and graph the inequality.
7n - 1 > 76
Answer:
n>11
Step-by-step explanation:
I don't know how to graph this answer, sorry!
The solution of the inequality 7n - 1 > 76 gives n < 11 along with the graph.
Given Inequality:
7n - 1 > 76
To solve the inequality add 1 on both side of inequality as
7n - 1 + 1 > 76 + 1
7n > 77
Now, divide the inequality by 7 as
7n/ 7 > 77/ 7
n > 11.
Therefore, the solution is n > 11.
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Multiplying positive and negative fractions how do you do it
Answer:
I GOTCHU BAEE
Step-by-step explanation:
its just like regular negative numbers
but with fractions
see:
-7/12 x 1/2 = -7/24
negative negates the negative
negative negates the positive
positive keeps the positive positive
The area of circle can be expressed by the
formula A = ar?where r is a radius of circle.
express radius in terms of area of circle.
9514 1404 393
Answer:
r = √(A/π)
Step-by-step explanation:
Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.
A = πr²
A/π = r²
r = √(A/π)
What is the value of the expression 11 - (34.48?
1) 3
O2) 5
O 3) 8
4) 9
Answer:
-23.48
Step-by-step explanation:
Hoped this helped!!
The results of the first 100 students who voted are represented in the table. There are still 50 more students left to vote. Based on the early results, how many MORE votes do you expect Dan to get out of the 50 late voters?
Answer:
1-50
Step-by-step explanation:
randy needs to save 2550$ for a vacation. he has 6 months to save the money. how much money must he save each month?
Answer:
425
Step-by-step explanation:
2550/6=425
Answer:
425
Step-by-step explanation:
− 2/3m = −1/2 solve for m
Answer:
m=-18
Step-by-step explanation:
-12=2/3m
there are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag. Find P(not yellow
Total number of Marbles is = 5 + 8 + 7 = 20
Total number of non-red marbles = 5 + 7 = 12.
P( Not yellow) 12/20 = 3/5.
The answer is 3/5.Answer:
3/5
Step-by-step explanation: