Answer:
∞ and n = 1
Step-by-step explanation:
The interval of convergence for the power series :
= ∞ and n = 1
summation of the product of negative n factorial and x^n = ∑ -n! * xⁿ
Interval : ∞ , n = 1
And the test that can be carried out here to test for the convergence or divergence of the power series is called Integral test
Consider g (x) = StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction Which statement correctly uses limits to determine the end behavior of g(x)? Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4. Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4. Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0. Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 x Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches infinity.
Answer: C
Step-by-step explanation:
To find the end behavior of a function, we find it's limits as x approaches infinity, getting the correct option as:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
Function:
The function given is:
[tex]g(x) = \frac{4x+9}{x^6+1}[/tex]
Limit as x goes to infinity:
To find the limit of a function as x goes to infinity, we consider the term with the highest exponent in the numerator and in the denominator. So
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{4x+9}{x^6+1} = \lim_{x \rightarrow \infty} \frac{4x}{x^6} = \lim_{x \rightarrow \infty} \frac{4}{x^5} = \frac{4}{\infty^5} = 0[/tex]
The graphic of the function, given at the end of this answer, corroborates the answer.
Thus, the correct option is:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
For more on limits as x approaches infinity, you can check brainly.com/question/12207599.
HELP HELP PLEASE I BARELY HAVVE ANYTIME LEFT PLEASE HEL;P ME OUT
1/4
Step-by-step explanation:
I used points (4,2) and (8,3).
The area of the figure is *blank* square units.
the length is 3 inches less than twice the width and the permiter is 42 inches. Find dimensions
Answer:
Here
Step-by-step explanation:
length = x
width = 2x - 3
Perimeter = 2length + 2 width
2x + 2(2x - 3) = 42
2x + 4x - 6 =42
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide both sides by 6
x = 8
Length = 8 inches
Width = 2(8) - 3 = 16-3 = 13 inches
Please help me this is algebra
Answer:
[tex]first \: answer \: is \: correct \: \\ [/tex]
Select all the fractions that are equivalent to a whole number.
1. 9/3
2. -16/8
3. 7/0
4. -5/3
5. 0/5
What ordered pairs are the solutions of the system of equations shown in the graph below
please help !! asap !!
Someone help! I will really appreciate it if someone helped me.
Answer:
A
E
F
Step-by-step explanation: there the even ones
The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is 1 centimeter:5 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answer:
[tex]625ft^{2}[/tex]
Step-by-step explanation:
First get the l by finding the square root of the area
[tex]\sqrt{25}[/tex] = 5cm
since 1cm = 5ft
what about 5cm =?
(5cm×5ft)/1cm
l=25ft
area of the actual floor is l × l
[tex]25^{2}[/tex]
which is [tex]625ft^{2}[/tex]
You have just finished investigating a disease outbreak at a summer picnic party. Out of 100 total attendees, a total of 50 individuals became ill. Of these, 48 individuals developed vomiting and nausea 4 to 6 hours after the picnic. No one developed a fever. Two elderly individuals, however, had complications leading to more severe form of the illness and had to be hospitalized. After the lab tests were conducted, the infectious agent was identified. The lab tests also revealed that 75% of all the individuals attending the party had been infected
What is the pathogencity of the infectious agent?
a. (2/50) * 100
b. (2/75) * 100
c. (50/75) * 100
d. (75/100) * 100
e. None of the above
Answer:
d. (75 / 100) * 100
Step-by-step explanation:
Pathogen is best described as cross contaminant which a bacteria or a virus that causes infection or disease in human. The lab tests confirms that total percentage of attendees who are infected by the disease is 75%. The total attendees were 100 out of which 75 had been infected and 50 demonstrated symptoms of the illness.
All Sections
Chocolate Bars (x) 6,
4,
Calories (y) 1,212
808
Every chocolate bar has ????? calories.
10.
2,020
3.
606
8
1,616
3. 606
please mark brainliest
The equation y = 5x - 4 can be classified as what type of function?
O linear
O quadratic
O exponential
None of the others
At one school, the ratio of boys to girls in the seventh grade is 12:11. There are 66 girls in the seventh grade. How many boys are there?
Answer:68
Step-by-step explanation:
I guesses but most likely right lol
Help! I’ll give Brainly! It’s not 2,875 , thank you !!
9514 1404 393
Answer:
$2,617.50
Step-by-step explanation:
Using this table, the tax is ...
tax = 2% × $3000 + 3% × (5000 -3000) + 5% × (17000 -5000) + ...
5.75% × (50,000 -17,000)
= $60 + 60 + 600 + 1897.50
tax = $2,617.50
__
Additional comment
Above $17,000, the tax is more easily computed as ...
tax = (5.75% × income) - 257.50
Each tax bracket can have a simplified formula like this.
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
What is the value of 9 + 12 – 6 x 4 ÷ 2.
Answer:
9
Step-by-step explanation:
Answer:
.................30..................
1. Evaluate the following.
(a) 35 + 1
Please no files. I can give brainlest....
C. 4140
Thanks & im sorry ^^
Answer:
3960 degree is the answer
Step-by-step explanation:
180(n-2)
180(24-2)
180*22
3690
here,n =number of sides
Choose the best answer
8 <2(a + 3) < 10
Please need help at this
Answer:
1 < a < 2
Step-by-step explanation:
8 < 2 (a+3) <10
8 < 2a+6 < 10 (Simplify all parts of the inequality)
8+ −6 < 2a +6+ −6 < 10+ −6 (Add -6 to all parts)
2 < 2a < 4
2/2 < 2a/2 < 4/2 (Divide all parts by 2)
=1 < a < 2
What is the difference quotient of the function, g(a) = StartFraction 8 minus a Over 4 EndFraction?
PLEASE HELP
Given:
The function is:
[tex]g(a)=\dfrac{8-a}{4}[/tex]
To find:
The difference quotient of the function.
Solution:
Formula for difference quotient of the function f(x) is:
[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]
We have,
[tex]g(a)=\dfrac{8-a}{4}[/tex]
The difference quotient of the function g(a) is:
[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]
[tex]DQ=\dfrac{-h}{4h}[/tex]
[tex]DQ=-\dfrac{1}{4}[/tex]
Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].
Answer:
They are right, It is -1/4. The second one.
Step-by-step explanation:
Edge 2021
The table here shows the distance between the Sun and four of the planets in our Solar System. What is the distance between the Sun and the nearest planet that is listed?
A. 36 million mi.
B. 484 million mi.
C. 885 million mi.
D. 1780 million mi.
Juan has $72, which is 6 times as much money as Kayla has. How much
money does Kayla have? Select the correct solution method, using x to
represent Kayla's money.
Answer:
12
Step-by-step explanation:
because 6x=72 so you could do 72/6 which 72/6 is 12 so the answer is 12
Rewrite the equation of the circle, x2 - 12x + y2 + 8y = -44, in standard form.
how many radians is 288
If the mean is 4, what is the missing number of the data set: 3, 4, ___, 7, 2, 1.
Answer:
7
Step-by-step explanation:
Let the missing number of the data be x.
[tex] \because mean = \frac{3 + 4 + x + 7 + 2 + 1}{6} \\ \\ \therefore 4 = \frac{17 + x }{6} \\ \\ \therefore 4 \times 6 = 17 + x \\ \\ \therefore 24 - 17 = x \\ \\\therefore x = 7[/tex]
Thus, the missing number of the data is 7.
A baseball pitcher won 65% of the games he pitched in his career out of 400 games. How many
games did he won?
Answer:
260 games (brainliest?)
Step-by-step explanation:
50% of 400 = 200 games
therefore, 65% of 400 = 260
A six-sided number cube is rolled 350 times and the results are recorded as follows: 58 ones, 63 twos, 52 threes, 61 fours, 60 fives, and 56 sixes. What is the experimental probability of rolling a five? Round to the nearest whole percent if necessary.
A) 83%
B) 93%
C) 7%
D) 17%
Answer:
The Answer is A. 83%
Step-by-step explanation:
The Probability a certain event= 1- Probability of that certain event not to happen.
According to this, it is true that:
Probability (not rolling 5)=1- P(rolling 5) = 1=60/350= 1-6/35 =35-6/35=29/35=0.83
HELP PLEASE
hhahsjdbrinejs eje did sis ieneieneiebenebeidbjebebejdne
You speak my language :0
jsnhdnfdjenkenhfbtrhgnvc
Use English Alphabet, how many 6-character case-sensitive passwords are possible?
Answer:
Step-by-step explanation:
like for your actual name spell is backwords and add the last 4 letters of the alphabet which W X Y Z
I hope that helped :)