The sum ∑ from n = 1 to infinity of 1/n^9 converges.
We will use the integral test to determine whether the sum converges.
To use the integral test, we need to evaluate the following integral:
∫ from 1 to infinity of 1/x^9 dx
We can integrate this using the power rule of integration:
= [-1/(8x^8)] from 1 to infinity
= [-1/(8 x infinity^8)] - [-1/(8 x 1^8)]
= 0 + 1/8
= 1/8
So, the integral converges to 1/8.
According to the integral test, if the integral converges, then the sum also converges. If the integral diverges, then the sum also diverges. Since the integral converges to a finite value of 1/8, the sum also converges.
The sum ∑ from n = 1 to infinity of 1/n^9 converges.
To know more about sum, visit;
https://brainly.com/question/24205483
#SPJ11
3x(2ab - b) - 2y(2a - b)
please i need help!!
Answer:
6abx-3bx-4ay+2by
Step-by-step explanation:
Answer:
The answer is 6xab - 3xb - 4ya + 2yb
Step-by-step explanation:
Factor the polynomial.
~Hoped this helped~
Name the like terms
5a, 3, 4d , 2a, 2a, 5c
Answer:
"Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.
Step-by-step explanation: Hope this helps
Cand someone please help me with this assignment!!!
Answer:
1. 3
2. 4
3. 2
4. 1
5. 1
7. 3
8. 10?
thats all i know because thats my answers hope it helps
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
To create a model of an artery, a health teacher uses the scale 2.5 cm : 0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?
a
9 m
b
90 cm
c
18 cm
d
9 cm
Answer: 9 cm
Step-by-step explanation:
I took the test
If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?
Answer:
288 trust me it is 100% right I tried it as an answer an got it right.
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
From the first two parts of the problem, we have
18√8 - 8√18 = 36√2 - 24√2
= (36 - 24)√2
= 12√2.
Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so
n = (12√2)²
= 12²(√2)²
= 144 ∙ 2
= 288.
Circles A, B, and C overlap. x is in the overlap of circles A and B. Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B
9514 1404 393
Answer:
b, c, d, e, f
Step-by-step explanation:
x ∉ A . . . . . not true, x is in A
x ∈ B . . . true
x ∉ C . . . true (x is outside the circle labeled C)
x ∈ A ⋃ B . . . true
x ∈ A ⋃ C . . . true
x ∈ A ⋂ B . . . true (x is in the overlap)
Answer:
A is false, every thing else is correct so b,c,d,e,f is your answer
Step-by-step explanation:
have a good day
i dont understand this
Find the slope of the linear function
y=5/4x-9
Answer:
[tex]\frac{5}{4} x[/tex]
Step-by-step explanation:
y = mx+ b
m = slope
b = y-intercept
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the straight lines.
The equation of a straight line is given as,
y = mx+c, hence here, m = slope, c = y-intercept..
so, y = 5/4x-9
.m = 5/4
so the slope is 5/4
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out how much you pay per month
Evaluate expression: 3(5g + 5 - 2)
Answer: 15g + 9
Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.
Find a slope of each line (each block is one unit):
Answer:
The slope is -3
Step-by-step explanation:
We have two points
( -1,2) and (1,-4)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -2)/ ( 1 - -1)
= ( -4-2)/ (1+1)
= -6/2
= -3
Question:
What are the solutions to 3x^2 + 12x + 6 = 0?
Hint::
use the quadratic formula
Answer:
x₁ = - 2 + √2 , x₂ = - 2 - √2Step-by-step explanation:
[tex]3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2[/tex]
Please help me, I am unsure how to do this
Answer:
-1/4
Step-by-step explanation:
Please help
The figure
pentagonal prism
hope it helps you
Answer:
the last one
Step-by-step explanation:
because they are given their names based on their bases
a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year?
Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.
Answer:
Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one
Step-by-step explanation:
Answer:
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
B
Step-by-step explanation:
What is the area of the triangles? The problems are in the picture below. 15 points and a brainiest.
Answer:
first: 8 in^2
second: 77 yd^2
third: 225 in^2 (assuming that the larger triangle base =50 in (25 x 2)
Step-by-step explanation:
area = 1/2 x base x height
first:
1/2 x 4 x 4 = 8 in^2
second:
1/2 x 14 x 11 = 77 yd^2
third:
(1/2 x 50 x 18) - ( 1/2 x 18 x 25) = 450 - 225 = 225 in^2
solve the system of equations
3x-3y=4
-3x+3y=3
Answer:
x=y+2/3
Step-by-step explanation:
HELP ME PLSS!!
Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $150, and then save $75 each month. Lily was given $4000 from her Great Uncle Merv, and decides to put the money into an account that has a 7% interest rate that is compounded annually. Ella has earned $4500 working at the gas station and decides to put her money in the bank in an account that has a 7.5% interest rate that is compounded continuously.
the question is Describe the type of equation that models Ella’s situation. Create that equation of Ella’s situation. Using the equation you created, how much money will be in Ella’s account after 2 years? 10 years?
You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.
Answer:
Step-by-step explanation:
Use formulaic methods. Since she has interest on her money, we have to include it:
i = log(x-4*7)^k
i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest
i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years
i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years
Amount after 2 years: $30,000
Amount after 10 years: $15,671
The rectangular floor of a classroom is 40 feet in length and 24 feet in width. A scale drawing of the floor has a length of 20 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
Perimeter = 64 inches
Step-by-step explanation:
40':20" = 1':1/2"
24' =12"
20+20+12+12 = 64 inches
make m the subject of the formula in 3-mx/2+2y=p/q
It means we want to isolate m so...
mx/2+2y=p/q
mx/2=p/q-2y
mx=2p/q-4y
m=(2p/q-4y)/x
Hope this helped if you have any more questions ask it in questions.
Please do number 3___________________
9514 1404 393
Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
_____
4. Then m∠VWT = 180° -80° = 100° = 5x°.
__
5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)
What is the reciprocal of 3 2/3
Answer:
the answer is 5
Step-by-step explanation:
Answer:
0.27272727272 is the reciproval of 3 2/3
Determine how many lines of symmetry each object has
I need help on this pleasee
Answer:
slope is 6/0 which is undefined
Step-by-step explanation:
how do you solve 0.4m(40m-20n)
Answer:
= 16m2o−8mno
Step-by-step explanation:
With explanation please help
Answer:
first you simplify the first part which will be
(15)^2-(18+9)*(6)
225-27*6
225-162
Answer will be 63
I showed my work :)
Four friends go out to lunch together. Mike orders a personal pizza with 2 toppings for $7.00. Dustin orders a personal pizza with 5 toppings for $9.25. Lucas orders a calzone with 1 topping for $5.75. Will orders a calzone with 4 toppings for $8.75. For what number of toppings is the price of a personal pizza the same as a calzone?
Answer:
Step-by-step explanation:
Four friends go out to lunch together.
For what number of toppings is the price of a personal pizza the same as a calzone?
Let us represent the number of toppings as x
We need to know the price of a personal pizza and the price of a calzone
Mike orders a personal pizza with 2 toppings for $7.00.
2x = $7
x = $7/2
x = $3.50
Dustin orders a personal pizza with 5 toppings for $9.25.
5x = $9.25
x = $9.25/5
x = $1.85
Lucas orders a calzone with 1 topping for $5.75.
x = $5.75
Will orders a calzone with 4 toppings for $8.75.
4x = 8.75
x = 8.75/4
x =2.1875
Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?
2hours
Step-by-step explanation:
2 hours