Answer:
[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
Step-by-step explanation:
We have the sum:
[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]
And we want to find the sigma notation that represents the sum.
Note that the leftmost term is the first term while the rightmost term is the last term.
n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:
[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]
Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.
Therefore, we can write the following summation:
[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]
And since (2 / n) is constant:
[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
What would the value of x be
Answer:
25
Step-by-step explanation:
it is alternate interior
same thing
65-25=40
2×25-10=40
80 plus what equals 44??
Answer:
-36
Step-by-step explanation:
80 + (-36) = 44
The negative in the 36 allows it to be subtracted from 80
Answer:
80 + -36
Step-by-step explanation:
80 - 44 = 36
80 + -36 = 44
What is the measure of PQS
Which of the following coordinates exists on the line y = 2x - 4?
O A. (1,-2)
O B. (-1,2)
O C. (-3,-5)
O D. (2,-4)
(1, -2) is the coordinates that exists on the line y = 2x - 4
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation of a line, we need to find that on which of the given points it lies,
So, we will put the points one by one, the point which stratify the equation will be the answer.
The equation :- y = 2x-4
1) (1, -2)
Put x = 1, y = -2 in the equation,
2(1)-4
= 2-4 = -2
LHS = RHS
Since, point (1, -2) satisfy the equation therefore, the line will pass through it.
Hence, (1, -2) is the coordinates that exists on the line y = 2x - 4
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What is a counterexample? "If a number is an integer, then it is either positive or negative."
Answer:
POSITIVE THANK ME LATER
Step-by-step explanation:
14. What is the rate if the distance traveled is 360 miles for 6 hours?
Answer:
60
Step-by-step explanation:
360/6=60
Susan paid for 6 shirts to be delivered.
Each shirt cost $15.00.
Susan paid $9.99 for delivery.
What is the total amount that Susan Paid?
Answer:
$99.99
Step-by-step explanation:
6 x 15 = 90
+ 9.99
please help me with domain and range of graphs Part 1
Answer:
see the attached for domainRange: (-∞, 4], [3, ∞), [-3, 1]Step-by-step explanation:
The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.
__
The range is the vertical extent of the graph.
Left Graph
We assume the curve is intended to touch, not cross, the line y=4, so the range is ...
range: (-∞, 4]
__
Middle Graph
We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.
range: [3, ∞)
__
Right Graph
The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...
range: [-3, 1]
Find the value of x, y and z. Round to the
nearest whole number.
Hello!
We can say that:
x = 35y = 18z = 13Let's go!Calculate x, knowing that angles opposite the vertex have the same value: ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
4x - 21 = 2x + 74x - 2x = 7 + 212x = 28x = [tex]\dfrac{28}{2}[/tex] x = 14To know the value of y, just calculate when the angle 4x - 21 ° is worth, as we already have the value of x. Then just do another equation.
4.14 - 2156 - 21 35Now, we calculate:
6y + 37 + 35 = 1806y + 72 = 1806y = 180 - 726y = 108y = [tex]\dfrac{108}{6}[/tex] y = 18Now, we calculate z:
180 - 35 → (35 is the value of 4x - 21 angle, and the adjacent angle of 2x + 7 is same to 10z + 15)= 145Now, we calculate:10z + 15 = 14510z = 145 - 1510z = 130z = [tex]\dfrac{130}{10}[/tex] z = 13Is important stand out what the draw isn't in the correct scale.
Hope this helps!!!! Good studies! ☺
5x3 - 6x? - 28x – 2
X + 2
Answer:
i am only doing thjis so i can get more answers dont ask questions
Step-by-step explanation:
6.03+4=10.03 what are the integers HURRY PLEASE thanks
Answer:
6.03, 4, 10.03
Step-by-step explanation:
The definition of an integer is an a whole number that's not a fraction. None of these numbers are fractions, therefore they are integers. The answer is all of them :)
The polynomial below is a perfect square trinomial of the form A2 - 2AB+ B2.
9x2-12x+4
A. True
B. False
Answer:
True
Step-by-step explanation:
A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
Answer:
True
Step-by-step explanation:
Factoring is adding and multiplying, so basically you add -12 and 9 to get 4, at least thats how I got it. Hope this helps!
Which statement correctly describes the inverse of the following function?
Line f has a slope of -3/4 line g is perpendicular to f. What is the slope of like g
Answer:
Slope of line g = [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Line f has a slope of [tex]-\frac{3}{4}[/tex] Line g is perpendicular to f* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .
∴ [tex]-\frac{3}{4}[/tex] × slope of line g = -1
Slope of line g = -1 ÷ [tex]-\frac{3}{4}[/tex] = 4/3 = [tex]1\frac{1}{3}[/tex]
Can someone explain this to me becasue ive been trying for the past 30 mins and i still dont understand it
S=$1800+$110*N
Use this equation to plot a graph.
1 The graph below represents a jogger's speed during her 20-minute jog around her neighbor.
Answer:
4) She was jogging at a constant rate.
Step-by-step explanation:
In any graph that has to do with time and speed, anytime the line plateaus (flattens out), that means speed is at a constant rate.
What multiply 12 and add to get -7
A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by h( t) = -16t2 + 96t + 14, where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height and when does this occur.
Answer:
158 meters (vertex/max point)
Step-by-step explanation:
what is the slope of the line containing the points (1,-1) and (3,3)
Answer:
1
Step-by-step explanation:
1111111111111111111
The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this
situation
A. 2(x + y) = 60
B. 2x + 2y = 60
C. x+2y = 60
D. 2x + y = 60
E. x+y = 60
Answer:
A and B are the correct answers
The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.
The perimeter of a rectangular room is 60 feet.
The perimeter of a rectangle is given by,
P = 2 ( Length + Breadth)
Let x be the width of the room (in feet).
Let y be the length of the room (in feet).
Substituting the values in the formula to get the equation.
60 = 2 ( x +y)
2 ( x +y) = 60 ---------- (1)
2x +2y = 60 ------------(2)
Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.
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if one pack of blueberries cost 4$, how many packages of blueberries can be bought for 12$
Answer:
3
Step-by-step explanation:
12 ÷ 4 = 3
what is the correct word form for 9.602
Answer:
Nine and six hundred two thousandths
Step-by-step explanation:
Hope this helped.
Answer: nine and sixty-two thousandths nine and six hundred two hundredths nine and sixty-two hundredths nine and six hundred two thousandths.
Step-by-step explanation:
Given: -8(x+1)=-5(x+10) prove x=14
-8(x+1)=-5(x+10)
-8x-8=-5x-50
+50 +50
-8x+42=-5x
+8x +8x
42=3x
/3 /3
14=x
can someone help please
Answer:
es
375
Step-by-step explanation:
Please help not sure how to do thIs see attached below
Answer:
7 in 1/2 for Y and 6 in 1/2 for X
Step-by-step explanation:
you can not go up nine so split it in half and add them on to X Y
and PS I am in 7th grade I tried my best and do you want to be friends ? my name is Ayden Hickle.
A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?
Which of the following equations could be used to solve the problem?
options:
x + (11 - x) = 1.70
25x + 10(11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
Divide.
Write your answer in simplest form.
-3/2 ÷ 4/7
Answer:
-21/8
Step-by-step explanation:
What is -9.5-(-8)-6.5
Answer:
-8
Step-by-step explanation:
Find the average (mean) of each group of numbers.
41. 3, 12, 6
42. -8,-1, -3
43. -8, 15, 5, 8
45. –10, -7, 7, 10
46. 12, 24, 9, 15, 18, 20, 16, 14
Answer:
41, 7
42, -4
43, 5
45, 0
46, 16
Step-by-step explanation:
41, 3+12+6 ÷3
42, -8, -1, -3 ÷3
43, -7+15+5+8÷4
45 -10-7 is -17, 7+10=17, 17-17 =0
46, 128/8=16
a snowboarder traveled at a speed of 12 meters per second for 15 seconds.How far did the snowboarder travel
Answer:
12 meters per second times 15 seconds = 180 meters
Step-by-step explanation: