Answer:
Converges by Direct Comparison Test
Step-by-step explanation:
For the infinite series [tex]\displaystyle \sum^\infty_{n=1}\frac{\sin(9n)}{1+9^n}[/tex], we can use the direct comparison test. We need to check for absolute convergence, so let's assume [tex]\displaystyle \sum^\infty_{n=1}\biggr|\frac{\sin(9n)}{1+9^n}\biggr|\leq\sum^\infty_{n=1}\frac{1}{1+9^n}[/tex]. Since [tex]\displaystyle \sum^\infty_{n=1}\frac{1}{9^n}[/tex] is a geometric series with [tex]\displaystyle r=\frac{1}{9} < 1[/tex], then that series converges. This implies that [tex]\displaystyle \sum^\infty_{n=1}\frac{1}{1+9^n}[/tex] converges, and so [tex]\displaystyle \sum^\infty_{n=1}\frac{\sin(9n)}{1+9^n}[/tex] converges by the direct comparison test.
Help me pleaseeeeeee
Answer:
1(top)- the last one
2- the first one
3(bottom)- the middle one
Step-by-step explanation:
trust me :)
Help me please Thanks
Can you solve 1 and 2 please
it says what to do in the problem :)
Answer:
Step-by-step explanation:
1). (10x - 27)° = (2x + 29)°
10x - 27 = 2x + 29
8x = 56
x = 7
m∠W = (2(7) + 29)° = 43°
2). (14x + 4)° + 51° + 55° = 180°
14x + 110 = 180
x = 14
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answer:
i like cats uwu
Step-by-step explanation:
4/5+ 1/3 how much is it
please help me if you can
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Which ratio forms a proportiona with 5:15?
A: 10:20
B: 75:5
C: 3:1
D: 1:3
Answer:
C
Step-by-step explanation:
Answer:
Answer is D.1:3
Step-by-step explanation:
I hope it's helpful!
Direction: Simplify each expression using Product Rule.
: (−
3)(23
) = −2(
3+1
1+3
)
= −2
1. (
2
)(
4
) = 6. (34
)(2
)(
3
)
2. (6
2
)(6
3
) = 7. (−6
2)(−3
3
5
)
3. (
2
)(
4
)(
2
) = 8. (2
2
)(3
4
)
4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =
5. (
3
5) (
1
5) = 10. (2
1
6) (−3
1
6)=
Answer:
pagal answer toone khoo
I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality
Answer:
He will need to get 15$ a day
Step-by-step explanation:
So what u can do is subtract 30 from 75 u will get 45 divide that by 3 and u get 15. Hope it helps
What is the answer to 2/6 + 1/2?
Answer: hey, there
your answer is 5/6
Step-by-step explanation:
=
2
6
+
1
2
=
1
3
+
1
2
=
2
6
+
3
6
=
2+3
6
Answer:
5/6
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/6, 1/2) = 6
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(26×11)+(12×33)=?
Complete the multiplication and the equation becomes
26+36=?
The two fractions now have like denominators so you can add the numerators.
Then:
2+36=56
This fraction cannot be reduced.
Therefore:
26+12=56
Solution by Formulas
Apply the fractions formula for addition, to
26+12
and solve
(2×2)+(1×6)6×2
=4+612
=1012
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2
10÷212÷2=56
Therefore:
2/6+1/2=5/6
(hope this helps can i plz have brainlist :D hehe)
2b - 19 = 11
Show explanation
Answer:
2b=11+19
2b=30
b=15
heyyyyyyyy guys
2b-19 = 11
+19 on each side
2b = 30
÷2 on each side so b is by itself
b=15
hope that helped^^
The ratio of 15 days to a week is
The ratio of 15 days to a week is 15 : 7.
[tex] \\ [/tex]
Explanation :Ratio of 15 days to a week :
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: days}{1 \: week}[/tex]
[tex] \\ [/tex]
Now, we know that 1 week has 7 days.
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: \cancel{days}}{7 \: \cancel{days}}[/tex]
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15}{7}[/tex]
[tex] \sf : \implies 15 \: days : 1 \: week = 15 : 7[/tex]
[tex] \\ [/tex]
Hence, The ratio of 15 days to a week is 15 : 7.
Find the solution of y = -x - 3 for x = -2.
A.
(-2, 1)
B.
(-2, -5)
C.
(-2, -1)
Answer:
(-2,-1)
Step-by-step explanation:
y = -x - 3
you replace the x with the -2
y = -(-2) - 3
y=2-3
y=-1
PLS HELP ASAP I MEAN ASAP PLS
Answer:
(B). - 3 ≤ x < 1
Step-by-step explanation:
[tex]\frac{\sqrt{x+3} }{\sqrt{1-x} }[/tex]
Given expression is defined for
1). x + 3 ≥ 0 ⇒ x ≥ - 3
and
2). 1 - x > 0 ⇒ x < 1
- 3 ≤ x < 1
Abby needs 8 quarts of milk to make milkshakes for her class party. What would the equivalent amount of milk be in gallons
Answer:
2 gallons
Step-by-step explanation:
There are 4 (US) quarts in 1 (US) gallon.
Therefore, 2 gallons would equal 8 quarts.
4 + 4 = 8
Answer:
2, 2 gallons would be equal to 8 quarts
Step-by-step explanation:
4 quarts is a gallon so you would have 2
0.86 write the decimal as a fraction in simplest form
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
Ok so like last like night like I was like playing and like when I was like done playing I went to my room and like when I like went to my room I like 额我真的 and like it was like like so like crazy that I almost like died laughing
Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE
Step-by-step explanation:
Answer:
like So like um.... like hit like the like heart like button like?
Step-by-step explanation:
i d k :/
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА
Ax = (x+6)(x-4)
OB.
Ay) = (x-6)(x + 4)
Oc.
Ax = (x + 6/(x+4)
OD. Ax) = (x-6)(x-4)
Answer:
A
Step-by-step explanation:
The number of students enrolled at a college is 17,000 and grows 6% each year.
Answer:
1020 new students per year.
Step-by-step explanation:
A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?
Answer:
25
Step-by-step explanation:
because 175/7= 25
how do you round to the nearest 10,000 in 1,995,298?
Answer:
The answer is 2,000,000
Step-by-step explanation:
Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0
The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the roots of the quadratic equation are x= 2 + i.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
A) x²-4x-5=0
Here, x=[4±√(16-20)]/2
x=[4±2i]/2
x=2±i
x=2+i or x=2-i
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ7
Please I need help ASAP
Answer:
6, -4
Step-by-step explanation:
Not sure if correct but that's what I got
Translations, reflections and rotations are all known as
transformations
hope it helps you
help please will give brainliest
Answer:
R=0.25
Step-by-step explanation:
Y=RX
2=R×8
2/8=8R/8
R=0.25
pls Help!.. help help help
-4 + x + 7 + 3x + 6x
Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!
15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138
Answer:
138Step-by-step explanation:
[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]
How are exponents used for measuring an earthquake? Can you explain?
Answer:
Richter, the Richter scale was used for many years to describe the energy released by an earthquake. ... To estimate the Richter scale measure, write the amplitude, in mm, as 10 raised to an exponent (10x), then add 3 to the exponent, x. For example, if the amplitude is 100 mm, rewrite 100 as 102.
Step-by-step explanation: