The series is absolutely convergent. In this code, the always block is used to implement the loop. The initial block is used to initialize the values of x, y, and i.
We can use the Comparison Test to determine whether the series is absolutely convergent, conditionally convergent, or divergent. We can compare the given series with the series [infinity] n = 1 1/n^2, which is a known convergent p-series with p = 2.
To use the Comparison Test, we need to find a positive constant M such that |sin(n)/(n^2)| <= M/n^2 for all n greater than some fixed value N.
Since -1 <= sin(n) <= 1 for all n, we have:
|sin(n)/(n^2)| <= 1/n^2
So we can choose M = 1 and use the Comparison Test as follows:
sum(sin(n)/(n^2)) <= sum(1/n^2)
Since the series on the right-hand side is convergent, the series on the left-hand side is absolutely convergent by the Comparison Test. Therefore, the series is absolutely convergent. In this code, the always block is used to implement the loop. The initial block is used to initialize the values of x, y, and i. The assign statements are used to assign the values of x and y to the output ports.
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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:
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]
How many gallons of a 20% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 30 gal of a 18% antifreeze solution? Round to the nearest gallon
Answer:
20% antifreeze solution = 18 gal
15% antifreeze solution = 12 gal
Step-by-step explanation:
Let
20% antifreeze solution = x
15% antifreeze solution = y
x + y = 30
0.20x + 0.15y = 30 * 0.18
0.20x + 0.15y = 5.4
x + y = 30 (1)
0.20x + 0.15y = 5.4 (2)
From (1)
x = 30 - y
Substitute x = 30 - y into (2)
0.20x + 0.15y = 5.4 (2)
0.20(30 - y) + 0.15y = 5.4
6 - 0.20y + 0.15y = 5.4
- 0.20y + 0.15y = 5.4 - 6
-0.05y = -0.6
y = -0.6/-0.05
y = 12 gal
Substitute y = 12 into (1)
x + y = 30 (1)
x + 12 = 30
x = 30 - 12
x = 18 gal
20% antifreeze solution = 18 gal
15% antifreeze solution = 12 gal
⅕m - 12 = -32
could someone solve this
Answer:
m = -100
Step-by-step explanation:
(1/5)m -12 = -32
add 12 on both sides
(1/5)m = -20
multiply both sides by 5
m = -100
Answer:
m = -100
Step-by-step explanation:
So in order to solve this equation we are going to have to convert 1/5m to a decimal, this will make it easier to solve the equation:
1/5m = 0.2m
Next we are going to take our 0.2m and place it within the equation where 1/5m is:
⅕m - 12 = -32 or 0.2m - 12 = -32
So now we are going to add 12 to both sides of the equal sign in the equation to segregate the 0.2m within the equation:
0.2m - 12 = -32 or 0.2m + (-12 + 12) = (-32 + 12)
making the equation look like this:
0.2m = -20
now we are going to divide 0.2 from both 0.2m and -20 to get the value of m:
0.2m/0.2 = -20/0.2
Thus getting the answer:
m = -100
So how do we know that -100 is the value of m? well we check our work of course by substituting -100 in place of m!
⅕(-100) - 12 = -32 or 0.2(-100) - 12 = 32
0.2(-100) - 12 = 32
-20 - 12 = -32
-32 = -32
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?
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
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]
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!
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%
-3y>x+6 I need help w this math problem
Answer:
y< −x/3 −2
Step-by-step explanation:
I hope this is what you need if not let me know and ill edit the answer
Identify the exponential function for the given graph.
A)
f(x) = (şs* +2
f(%) (şyx - 2
f(x) = (-3;* + 2
f(x) = (–33* - 2
9.
D)
Answer:
Step-by-step explanation:
C - 3(2^x).
AI need help with this math homework ASAP I need the independent variable the dependent and the equation
Answer:
b is the independent variable
c is the dependent variable
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
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)
in each diagram, BD bisects
Answer:
26. ∠ABC=44
27. ∠ABC=86
28. ∠ABC=116
Step-by-step explanation:
Since BD bisects ∠ABC in each diagram, ∠ABD=∠DBC.
26.
∠ABD=∠DBC
5x+2=7x-6
2x=8
x=4
∠ABC=∠ABD+∠DBC
=5(4)+2+7(4)-6
=20+2+28-6
=44
27.
∠ABD=∠DBC
11x-12=8x+3
3x=15
x=5
∠ABC=∠ABD+∠DBC
=11(5)-12+8(5)+3
=55-12+40+3
=86
28.
∠ABD=∠DBC
9x-23=5x+13
4x=36
x=9
∠ABC=∠ABD+∠DBC
=9(9)-23+5(9)+13
=81-23+45+13
=116
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
$67
Step-by-step explanation:
So 5x12+7=C
PEDMAS so:
5x12 = 60
60+7 = 67
67 = C
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
Find the slope of the line through the given points (4,-2),(-1,8)
Answer:
[tex]\displaystyle m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, -2)
Point (-1, 8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{8+2}{-1-4}[/tex][Fraction] Add/Subtract: [tex]\displaystyle m=\frac{10}{-5}[/tex][Fraction] Divide: [tex]\displaystyle m=-2[/tex]Need answer pizza ???
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface areas and Volumes.
Since, we know that the lateral area of a Right circular cone is given as,
AL = πrl
here, l = slant height , r = radius of the circular base.
so now, we have to find first slant height to get the lateral surface area,
[tex]l \: = \sqrt{ {r}^{2} + {h}^{2} } [/tex]
here, r = 8 cm and h = 15,
hence,
[tex]l \: = \sqrt{64 + 225} = \sqrt{289} = 17cm[/tex]
hence, now we apply the formula,
AL = π(8) (17) cm^2
===> AL = 136 π cm^2
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,0) and (5, -3)
Amy and Darren each solved the following system of equations using a different method
y=0.5x + 1
4x -2y=4
Is either of them correct? Explain your reasoning and give the correct solution to the system.
Answer:
what is
Step-by-step explanation:
the the 3 4 4
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 ASAP HELPPP MARKING BRAINLIEST
Answer:
answer is 68 1/8
Step-by-step explanation:
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.
Who ever get it right I will give Brainly thx u
It be 12 cause from the smaller one 2*4 would = to 8 and 5*4 also = to 20 so 3*4 = to 12.
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
15x=12x+15 whats the angle measures.
Answer:
x = 5 (please read the step by step explanation)
Step-by-step explanation:
So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.
15x = 12x + 15
Same to both sides:
3x = 15
Isolate x:
x = 5
Just plug in those values and you'll be good to go! Have a good day!
, describe how a translation is different from a rotation.
Answer:Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.
Step-by-step explanation:
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!!
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:
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]