Answers
Answer:
-25
Step-by-step explanation:
Reading the expression:We're given the sigma notation of a series.
[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]
The variable k is the "index of notation"
The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.
"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Generating the terms of the series:To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.
[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]
[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]
[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Final Answer:[tex] \mathsf{ \underline{- 25}}[/tex]
______________________
[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]
k=1,2,3,4,5[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]
[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]
[tex]\\ \rm\Rrightarrow 30-55[/tex]
[tex]\\ \rm\Rrightarrow -25[/tex]
Related Questions
What are the corresponding parts of the figures below? Select all that apply.CBAFGE76°44°60°76°44°60°45 km50 km35 km45 km50 km35 km
Answers
Answer:do your self it is easy
Finn is walking on a treadmill at a constant pace for 30 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts. The equation is f(x) =
Answers
30*2=15miles per min. x*y=d.
Answer:
The equation is
[tex]f(x) = - \frac{2}{30} x + 2[/tex]
Step-by-step explanation:
since the function is
[tex]f(x) = - \frac{2}{30} x + 2[/tex]
The y-intercept is 2 and the x-intercept is 30.
since the treadmill is counting down the slope of the function would be negative. she set the treadmill for 2 minute walk so at 0 minutes she has 2 minutes left. as the treadmill counts down at the 30-minute mark she will have zero minutes left.
What’s the perimeter of 4 1/2in and 8 1/2in
Answers
Answer:
26 in
Step-by-step explanation:
4.5 x 2 = 9
8.5 x 2 = 17
9 + 17 = 26
Given the endpoint A(0, 13) and the midpoint M(6,5)
Find the other endpoint of AB. B(
Answers
Answer: (3, 9)
Step-by-step explanation:
X: Midpoint between 0 and 6
X: Midpoint between 1 and 5
X: Midpoint between 2 and 4
X: Midpoint is 3.
Y: Midpoint between 13 and 5.
Y: Midpoint between 12 and 6.
Y: Midpoint between 11 and 7.
Y: Midpoint between 10 and 8.
Y: Midpoint is 9.
Write the equation of the line in slope intercept form.
(-8,10); m=1/2
Answers
Answer:
y = (1/2)x + 14
Step-by-step explanation:
y = (1/2)x + 14
How to find the maximum or minimum value of a quadratic function?
Answers
The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].
A quadratic function is an algebraic function of the form:
[tex]y = a\cdot x^{2}+b\cdot x + c[/tex], [tex]\forall \,x, y, a, b, c\,\in \mathbb{R}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable. [tex]a,\,b,\,c[/tex] - Coefficients.The maximum/minimum of a quadratic function is represented graphically by the vertex, which is the only point that has no a "twin" point by any means of symmetry. We can get the x-coordinate of the vertex by means of the quadratic formula:
[tex]a\cdot x^{2} + b\cdot x + (c- y) = 0[/tex] (2)
[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot (c-y)}}{2\cdot a}[/tex], where [tex]b^{2}-4\cdot a\cdot (c-y) = 0[/tex].
Hence, the x-coordinate of the vertex is:
[tex]x = -\frac{b}{2\cdot a}[/tex] (3)
And the y-coordinate of the vertex is determined by evaluating (1) at (3):
[tex]y = f\left(-\frac{b}{2\cdot a} \right)[/tex] (4)
The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].
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pleas help me due soon i will give brianlyest
Answers
Answer:
option D is correct
Step-by-step explanation:
option D is correct
as, both 2 and 3 are positive integers and also the 2 integer is going towards negative sign but it lies in positive area so,
-2 is in bracket when bracket will be open it will be in positive sign,
so,
2 + 3 - (-2) is correct ans.
hope this answer helps you dear take care and may u have a great day ahead!.
How do I solve this equation... if a=5 b=7 and c=12 What is: a(b + c) x 2?
Answers
Answer:
190 is the answer of the equation.
Step-by-step explanation:
a(b + c) × 2
Now putting the values of a,b and c.
5(7+12)×2
= 5(19)×2
= 95×2
= 190
This is my last question someone help and plz make sure it’s right will mark brainiest plz :)
Answers
Answer:
fort nite
Step-by-step explanation:
i dont know what brainiest means
34x78 use another method besides the traditional algorithm?
Answers
Answer:
2652 is the correct answer
Find the value of k given that both points lie on a line passing through the origin.
(−12,−2) and (k, 8)
PLEASE HELP
Answers
Answer:
= -112adkn
Step-by-step explanation:
hope it can help brainless me please thanks
How many 11/5 foot pieces can be cut from the 20 foot piece
Answers
2. Which numbers are equivalent to 0.6?
Circle all that apply.
6
A.
B. 60%
100
6
C. 0.60
D.
10
E.
F. 6%
Answers
Answer = B and F
So 0.6 can be also said as 0.60/100 . There for O.60/100 can be B
and... 0.6 can be also said as 6/10...
So it can be F
Question 11 (5 points)
(01.05 MC)
3
Which fraction is equivalent to 3/-5
Answers
Answer:
- 3 / 5
Step-by-step explanation:
3 / - 5
= - 1 x 3 / 5
= - 3 / 5
Marie has 2 spools of ribbon. One spool holds 3 yards of ribbon, and the other spool holds 2 yards of ribbons. She uses all the ribbon to cut bookmarks that are each 1/4 yard long. How many bookmarks does Marie make?
Answers
Answer: 20
Step-by-step explanation:
3+2 = 5 yards
5 divided by 1/4 = 5 x 4 = 20 bookmarks
12/(3/4)
12 divided by 3/4
Answers
Answer:
16
Step-by-step explanation:
12÷3/4=12/1×4/3
=16
Answer:
16
Step-by-step explanation:Factor the numerator and denominator and cancel the common factors. and divide 12/(3/4)
222 inches times 45 inches equals how many ft ?
Answers
Answer:
9990 inches
Step-by-step explanation:
Answer:
9990 in²
Step-by-step explanation:
Simple multiplication: 222 × 45 = 9990
To check your work either divide 9990 with 45 OR 222
11.What is the slope of the line that passes through (-20, -4) and (-12, -10) ?
A. -3/4
B. 4/3
C. 3/4
D. -4/3
Answers
Plug the points into y2-y1/x2-x1
(-10) - (-4)/(-12) - (-20)
you will get A. -3/4
hope this helps !! :)
Looking at the two terms, 7a4b2c2 and 14abc6, what is the GCF do the coefficients?
Answers
Greatest Common Factor is also shortened as G.C.F . Greatest Common Factor can be used as the greatest or highest number that divides exactly into two or more numbers.
The GCF for the coefficients is 7. Option A is the correct option.
From the question, we are given two terms 7a4b²c² and 14abc⁶
The coefficient for 7a4b²c² = 7
The coefficient for 14abc⁶ = 14
Solving for the GCF,
The factors of 7 are: 1, 7
The factors of 14 are: 1, 2, 7, 14
Then the greatest common factor is 7.
Therefore, the GCF for the coefficients is 7 . Option A is the correct option.
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Enter the number in standard notation.
6x105 =
Hint: Move the decimal right 5 places.
Answers
Answer:
56
741
147
Step-by-step explanation:
The chosen topic is not meant For use with this type of problem. Try the examples below
56
741
147
Find three consecutive positive integers such that the product of the second integer and the third integer is 20.
Answers
The product of the second integer 4, and the third integer 5, is equal to 20.
The questions asks for three consecutive positive integers. Therefore the first integer of the sequence is 3.
What kind of angles are 4 and 5
Answers
A graph appears below showing the number of adults and children who prefer each type of soda. There were 130 adults and kids surveyed. Discuss some ways in which the graph below could be improved.
Answers
The ways the graph could be improved include
Labelling the x and y axesStarting the entries on y-axis from the origin (i.e. from 0How to improve the graphIn statistics, graphs are used to represent data sets in a visual way.
Some features of a good graph include
Labelling all axesStarting numerical values from the originUniform space between barsThe lengths of bars represent frequencies or relative frequenciesFrom the given graph (see attachment), we have the following highlights:
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Use the function f(x) = –2|5-x| – 13 to evaluate f (6).
Answers
Answer:
-15
Step-by-step explanation:
-2 |5 - x| - 13
-2 |5 - 6| - 13
-2|-1| - 13
-2 - 13
-15
Hopefully this helps!
Brainliest please?
DerekPangrel60 Answer this question
Answers
Answer:
hello thank you for brainliest
help plz ill give brainliest
Answers
Answer:
30 gallons
Step-by-step explanation:
find the 6 on the x axis, and it meets to the 30 on the y axis, therefore the answer is 30 gallons (sorry if this doesn't make sense or if it's incorrect)
4 773 nearest hundred
Answers
Answer:
4800
Step-by-step explanation:
4773
The 3 is the ones digit.
The 7 to the left of the 3 is the 10s digit.
The 7 (in bold) to the left of the other 7 is the hundreds digit.
1. Make all digits to the right of the hundreds digit 0.
4700
2. We need to find out if we end up with 4700 or 4800.
Since the digit just to the right of the hundreds digit is greater than 4 (it is the tens digit which is a 7), then the hundreds digit 7 must go up 1 to 8.
Answer: 4800
What is the quotient of −112÷2 1/3 ?
Answers
Answer:
-48
Step-by-step explanation:
−112÷2 1/3 needs to be rewritten as -112 / (7/3), where 7/3 is the improper fraction version of 2 1/3.
Then we have
-112
---------
7/3
Recall that division by a fraction is equivalent to multiplication by the reciprocal of the fraction; thus, the above expression becomes
-112 * 3
-----------
7
This, in turn, can be reduced through division to -16*3, which equals -48.
number 1- Name the relationship between <1 and <2. *
Answers
Answer:
Step-by-step explanation:
They are both acute. They are both on the same side of the transversal. They are (incidentally) equal. They are corresponding angles.
Write the sentence as an inequality -7/8 is at most the difference of twice a number m and 5/4
Answers
Answer:
2m - 5/4 ≤ -7/8
The given inequality can be written as 2m - 5/4 ≤ -7/8.
What is an inequality ?Inequality is of four types they are
a<b ⇒ a is less than b.
a≤b ⇒ a is less than or equal to b.
a>b ⇒ a is greater than b.
a≥b ⇒ a is greater than or equal to b.
According to the given question
An inequality -7/8 is at most the difference of twice a number m and 5/4 which is 2m - 5/4 ≤ -7/8.
Difference of twice a number 'm' and 5/4 is 2m - 5/4 and this is at most -7/8 means less than or equal to.
∴ The given statement can be written as 2m - 5/4 ≤ -7/8
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