Answers
Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
Related Questions
Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship
Answers
The midpoint of xy is located at the origin
Answers
Answer:
Is there supposed to be an image?
Step-by-step explanation:
A directed segment ST¯¯¯¯¯ is partitioned from S (−5,0) to T in a 32 ratio at point M (10, 15). What are the coordinates of point T? (20, 25) (15, 20) (7, 3) (5, 15
Answers
Answer:
[tex]T = (20,25)[/tex]
Step-by-step explanation:
Given
[tex]S = (-5,0)[/tex]
[tex]M = (10,15)[/tex]
[tex]Ratio = 3:2[/tex]
Required
Determine the coordinate of T
Line division by ratio is calculated using:
[tex]M(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where:
[tex](x_1,y_1) = (-5,0)[/tex]
[tex](x,y) = (10,15)[/tex]
[tex]m:n = 3:2[/tex]
So, we have:
[tex](10,15) = (\frac{3 * x_2 + 2 * -5}{3+2},\frac{3 * y_2 + 2 * 0}{3+2})[/tex]
[tex](10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5})[/tex]
Multiply through by 5
[tex]5 * (10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5}) * 5[/tex]
[tex](50,75) = (3x_2 -10,3y_2)[/tex]
By comparison:
[tex]3x_2 - 10 = 50[/tex]
[tex]3y_2 = 75[/tex]
[tex]3x_2 - 10 = 50[/tex]
[tex]3x_2 = 50 + 10[/tex]
[tex]3x_2 = 60[/tex] --- Divide through by 3
[tex]x_2 = 20[/tex]
[tex]3y_2 = 75[/tex]
[tex]y_2 =75/3[/tex] --- Divide through by 3
[tex]y_2 =25[/tex]
Hence:
The coordinates of T is
[tex]T = (20,25)[/tex]
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.
Answers
Answer:
for r= 70 cm
the rate is 0.008cm/s
for r=95cm
the rate= 0.0044cm/s
Step-by-step explanation:
kindly find attached a rough sketch of the circle and a detailed solution of the problem.
Given data
rate dv/dt=500cm^3
r=70cm
r=95cm
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .
Answers
Answer:
The area of this circle is [tex](\frac{\pi}{2} )[/tex] the area of the square.
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
Step-by-step explanation:
Area of the circle is given by;
[tex]A_c = \frac{\pi d^2}{4}[/tex]
Area of the square is given by;
[tex]A_s = L^2[/tex]
relationship between the edge length of the square, d, and length of its side, L,
[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]
But area of the square , [tex]A_s = L^2[/tex]
[tex]d = \sqrt{2A_s}[/tex]
Then, the area of the square in terms of the edge length is given by;
[tex]A_s = \frac{d^2}{2}[/tex]
Area of the circle in terms of area of the square is given by;
[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Ф = E.A
Flux through the surface of the circle is given by;
[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]
Flux through the surface of the square is given by;
[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square
The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Φsquare is [tex]\dfrac{2}{\pi}[/tex] ϕcircle
Given
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square
For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.
Therefore, Φsquare is ________ ϕcircle .
1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.
The area of the circle is;
[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]
The area of the square is;
[tex]\rm Area \ of \ square = a^2[/tex]
The relationship between the edge length of the square, d, and length of its side a is;
[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;
[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.
2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Ф = E.A
3. Flux through the surface of the circle is given by;
[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]
To know more about Flux click the link given below.
https://brainly.com/question/5932170
The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero
Answers
Answer:
The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE
Hope this helps!
Answer: 1 turning point
Step-by-step explanation:
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
Answers
Answer:
20
Step-by-step explanation:
Answer:
-10, 0, 10, 20, 30, etc.
Step-by-step explanation:
There are multiple elevations greater than -20
If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!
Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)
Answers
Answer:
1. alterative exterior angles.
Step-by-step explanation:
I don't know what the rest of the other options are. So I can't answer the rest.
Evaluate the function at the specified value and simplify
f(x)=|x|+8;f(-3)?
Answers
Step-by-step explanation:
f(x)=|x|+8
f(-3)=|-3|+8 =3+8 =11
Write an example that is not an integer
Answers
Answer:
1/2, 1/4 3/72, .50, .25, etc.
Step-by-step explanation:
An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.
solve for the x variable .
Answers
Answer:
x=15
Step-by-step explanation:
plz mark as brainliest
hope it helped u
Answer:
ok the question is 2x is equals to 15 + x so we will collect the like terms so that we have 2 x minus x is equals to 15 and x is equals to 15
Solve for j if aj+k=v
Answers
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?
Answers
Mark Brainliest
How does the graph of y = sec(x - 2) + 2
compare to the graph of y = sec(x)?
0 It is shifted 2 units down and 2 units left.
It is shifted 2 units down and 2 units right.
O It is shifted 2 units up and 2 units left.
It is shifted 2 units up and 2 units right.
Answers
Answer:
D
or
It is shifted 2 units up and 2 units right.
Step-by-step explanation:
The graph of y = sec(x) is shifted 2 units up and 2 units right.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given graph is y = sec(x)
After transformation it is y = sec(x - 2) + 2
We need to find the transformation applied to y=secx to get y = sec(x - 2) + 2.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
y=f(x-a) is the same graph shifted 'a' units to the right. If 'a' is negative, then, the graph is shifted to the left.
y = f(x) - a is the same graph, but shifted 'a' units downwards. If 'a' is negative, then the graph will be shifted upwards.
In this case, our main function is y=sec(x). And the function y= sec(x-2)+2 is shifted two units to the right and 2 units upwards.
Hence, the graph of y = sec(x) is shifted 2 units up and 2 units right.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ5
Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.
1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
Step 1: Use the distributive property to remove the parentheses. (2 points)
Step 2: Collect any like terms on both sides of the equation. (2 points)
Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)
Answers
Answer:
x=-3
Step-by-step explanation:
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
(remove parentheses)
5x-20+3x-9x=6-2x-5+8x
(collect like terms and calculate)
-x-20=1+6x
(move the terms)
-x-6x=1+20
(collect like terms and calculate)
-7x=21
(divide both sides)
x=-3
(your answer :))
Venu goes to a fruit stand and buys some apples and bananas. Let A represent the number of apples she buys, & the number of bananas she buys, CA the cost of each apple, and C, the cost of each banana. a. Is the expression A+B meaningful in this situation? If so, what does it mean? If not explain why not b. Is the expression A - Ce meaningful in this situation? If so, what does it mean? If not, explain why not 2 Write an expression for the total cost of Venu's purchase.
Answers
E
q
n
(
1
)
we have
A
c
=
20
−
B
c
...
...
E
q
u
a
t
i
o
n
(
1
a
)
Using
E
q
n
(
1
a
)
substitute for
A
c
is
E
q
n
(
2
)
$
0.5
(
A
c
)
dddd
+
$
0.75
B
c
=
$
11.50
...
...
...
E
q
u
a
t
i
o
n
(
2
)
$
0.5
(
20
−
B
c
)
+
$
0.75
B
c
=
$
11.50
$
10.0
−
$
0.5
B
c
+
$
0.75
B
c
=
$
11.50
Subtract
$
10
from both sides
$
0.75
B
c
−
$
0.5
B
c
=
$
1.50
$
0.25
B
c
=
$
1.50
To 'get rid' of the decimals multiply both sides by 100
$
25
B
c
=
$
150
Divide both sides by
$
25
B
c
=
6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using
E
q
n
(
1
)
substitute for
B
c
A
c
+
B
c
=
20
...
...
...
...
...
...
...
.
E
q
u
a
t
i
o
n
(
1
)
A
c
+
6
=
20
Subtract 6 from both sides
'
A
c
=
14
So the answer is:
14 apples and 6 bananas
Answer: wow that's crazy cause I need help with the same answer
Step-by-step explanation:
2,76,212+2628 = ______ +2,76,212
Answers
Answer:
555052
Step-by-step explanation:
The graph below shows y is a function of x.
Answers
Answer: false
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answers
C because it’s nearest to -1
Answer:
Point C
Step-by-step explanation:
Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.
Find the balance in the account after the given period. $4000 principle earning 3% compounded annually 6 years
Answers
Answer: it would be 3000 that’s what it is
Step-by-step explanation:
If a histogram of a sample of men's ages is skewed, what do you expect to see in the normal quantile plot?
Answers
Answer: Points are not following a straight-line pattern
Step-by-step explanation:
Histograms are used to show the distribution of a dataset.
If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.
From the question, we understand that:
The histogram is skewed
This means that:
The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.
The above highlight mean that:
The points on the histogram are unequal.
Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.
Read more about normal quantile plot at:
https://brainly.com/question/5678453
Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?
Answers
Answer:
Part A: -8
Part B: -4
Step-by-step explanation:
[tex]5-13=-8[/tex]
[tex]-8+4=-4[/tex]
i poopoo myself how to clean
Answers
Answer:
you clean!?
Step-by-step explanation:
I just lick it
Answer:
use toilet paper
Step-by-step explanation:
first you clean yourself then you clean again until very clean lol
uppose that 500 parts are tested in manufacturing and 10 are rejected. Test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.03 against Upper H Subscript 1 Baseline colon p less-than 0.03 at . Find the P-value.
Answers
Answer:
The value is [tex]p-value = 0.094963[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The number of rejected parts is k = 10
The null hypothesis is [tex]H_o : p = 0.03[/tex]
The alternative hypothesis is [tex]H_1 : p < 0.03[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{10}{500}[/tex]
=> [tex]\^ p = 0.02[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.02 - 0.03 }{ \sqrt{\frac{ 0.03 (1-0.03)}{500} } }[/tex]
=> [tex]z = -1.31080[/tex]
From the z table the probability of (Z < -1.31080) is
[tex]p-value = P(Z < -1.31080) = 0.094963[/tex]
2x2 + x + 5 = 0 i don’t know how to do this please help
Answers
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
A light bulb consumes 1800 watts-hours per day. How many watt- hours does it consume in 5 days and 6 hours
Answers
Answer:
9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900
Mark me as brainliest if u found the answer helpful
Answer: well just do the math 1800 times 24 is 43200 times 5 is 216000
and 1800 times 6 is 10800 plus 21600 is.......226800
Step-by-step explanation:
do the math!!!!!
PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X
Answers
84 I'm sure it's that I did it before
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answers
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
Identify the equation of the graph.
Answers
Answer: y=-2x-4 (C)
Step-by-step explanation: Its correct i swear
f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]
Answers
Answer:
Step-by-step explanation:
[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change
over the interval (a, b)
a and b are x values
f(a) ad f(b) think of them as y values
Start calculating f(a) and f(b) a=1 b=6
replace all x's in formula with a, (1)
f(1)=1³-9(1) = 1-9= -8 f(1) = -8
Now do : b (6)
f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162
now plug everything into your equation
[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.
notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.
Hope this helps. Good luck!