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 combining like terms ?
Answers
basically since 6 and -9 don’t have any variables, you would ignore the 3m to combine them like 6-9, which would be -3 and then adding that onto the 3m you would get 3m-3
Answer: 6 + 3 − 9
− 3 + 3
-3+3m
3m-3
Step-by-step explanation:
moniquemfv
me responde prv
te peço
Answers
Answer:
Que?
Step-by-step explanation:
x^2-25y^2+6x+18=0
help me
Answers
Answer:
im not very good at that but my best problematic ratio is deviding the x ponet by the ^ and then using your y ponet multiplyed by your first couple of numbers which are "x^2"
The graph of the exponential function f(x) = 4(0.5)* + 2 is shown.
Answers
Answer:
g(x)=0.5(0.8)^x+2
Step-by-step explanation:
A film ends at 1.05 a.m and lasts for 1 hour 45 min. At what time does the film start?
Answers
u will have to add the two
1hr 45mins + 1:05
remember add hrs to hrs and minutes to minutes
1+1 =2
45+5=50
which means the movie started at 2:50 am
and to verify ur answer subtract 2:50 from 1:05
= 1hrs 45 mins
Answer= 2:50 am
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
According to above statement, the film started 1 hour and 45 minutes before 1 : 05 am
so, starting time is equal to :
1 hour 45 minutes before 1 : 05 1 : 05 - 1 hour 45 minutesthat is :
11 : 20 pmCan anyone answer with an explanation?
Answers
Answer:
x=0.136
Step-by-step explanation:
4x^3-6x^2+16x-6=0
64x-36x+16x-6=0
28x+16x-6=0
44x-6=0
+6 +6
44x= -6
/44 /44
x=0.136
I need help I’m going to fail
Answers
Answer:b
Step-by-step explanation:
solve the inequality -179 greater than or equal to 9v - 8
Answers
Answer:
v ≤ -19
Step-by-step explanation:
What percent is 7 out of 20?
Answers
Step-by-step explanation:
35%Therefore, 7/20 in terms of percentage is 35%
Now, let us express 7/20 in terms of decimals. To convert any fraction to a decimal, we divide the numerator by the denominator.
Step-by-step explanation:
35%
Therefore, 7/20 in terms of percentage is 35%
Now, let us express 7/20 in terms of decimals. To convert any fraction to a decimal, we divide the numerator by the denominator.
Simplify 6 to the 3rd power
Answers
Answer:
216Step-by-step explanation:
6 · 6 · 6 = 216
Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)
Answer:
2 √ 3 or 3.46410161
Step-by-step explanation:
I don't know math I just look it up tbh. Hope it helps ya though.
A frog leaps off of a ledge and lands on the ground below. The function
f(x) = -1.6x2 + 2.3x + 3.2 represents the frog's path.
a. How high is the ledge where the frog starts?
b. How high is the frog at its highest point?
c. What is the frog's horizontal distance from the ledge when it
reaches its highest point?
Answers
Answer:
-1.6x2 + 2.3x + 3.2 = f(x) to solve this you do -1.6 x 2 = -3.2 + 2.3x = -0.9 + 3.2 = 2.3
Step-by-step explanation:
For A the height of ledge is 3.2
for b - the frogs highest point 2.30x
and c is 12.3x
What is matter?
Anything that has mass and takes up space
Something that has volume and takes up space
Things that have energy and take up space
Things that take up space but don't have mass
Answers
Adam Zetts is an aerospace engineer. He earns $78,000 a year
and is paid on a semimonthly basis. How much is deducted
per pay period for Social Security? How much for Medicare?
Answers
Answer:
Social Security: $201.50, Medicare: $47.13
Step-by-step explanation:
divide 78,000 by 24(semimonthly) - $78000/24 = $3250(gross semimonthly basis)
multiply 3250 by .062(social security) - 3250 x .062 = $201.50
multiply 3250 by 0.0145(medicare) - 3250 x 0.0145 = $47.13
Tell the mistake that was made in solving this equation. Tell the answer and one thing that is important to remember when simplify.
-8y+5x+3y-9x
-11y+5x+-9x
-11y+14x
Answers
Answer:
-8y + 5x +3y-9x
-8y+3y+5x-9x
-5y-4x
Find the slope of the line
Answers
Answer:
Slope = 3
Step-by-step explanation:
(2, 0)
(0, -6)
(-6-0)/(0-2) = -6/-2 = 3 = m
There are 16 boys and 18 girls in a grade 6 math class . write the ratio of girls to boys in words as simply as possible
Answers
Answer:
8:9 = eight to nine
Step-by-step explanation:
16:18 - divide each by 2 in order to simplify
= 8:9
Math experts please provide the product in standard form thank you so much
Answers
Answer:
[tex]2x^{3} -11x^{2} +18x-9[/tex]
Step-by-step explanation:
use foil thn combine like terms
evaluate the expression -8+5
Answers
If the bigger number is negative the answer is negative
PRACTICE
Compare each pair of radical expressions.
SEE EXAMPLE 1
26. 6/3 and 108
27. 2121 and 4/5
28. 40/42 and 42/40
11:59 PM
29. 2/120 and 130
30. 168 and 2/18
31. 196 and 3/15
Write each expression so the radicand has no
perfect squares other than 1. SEE EXAMPLES 2 AND 1
32. 1210
33. V250
34. (108
35. 2/21
36. 198x8
37. 1200x
vork PNG
dical E...
38. 132x4 y2
39. 4xl ***
Answers
Answer:
which one do u need help on... or all of them
Step-by-step explanation:
A store sells notepads in packages of 24 and packages of 6. The organizers of a conference needs to prepare at least 200 notepads for the event. Would they have enough notepads if they bought five packages of 24 and fifteen packages of 6 ?
Answers
Answer: Yes they would have enough notepads
Step-by-step explanation:
24 * 5 = 120
15 * 6 = 90
120 + 90 = 210
The organizers will have enough notepads if they bought five packages of 24 and fifteen packages of 6.
Given that, a store sells notepads in packages of 24 and packages of 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of note pads with five packages of 24
24 × 5 = 120
The number of note pads with fifteen packages of 6
15 × 6 = 90
Total number of note pads
= 120 + 90 = 210
Therefore, the organizers will have enough notepads if they bought five packages of 24 and fifteen packages of 6.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
which number is irrational
Answers
Answer:
Any real number that cannot be expressed as a ratio of two integers.Step-by-step explanation:
OPTIONS R NOT HERE
HOPE IT HELP
Answer: i didn't get enough detail but you can use this to help
Step-by-step explanation:
Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.
Irrational numbers are expressed usually in the form of R\Q, where the backward slash symbol denotes ‘set minus’. it can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.
I NEED HELP PLZ?!??!?
Answers
Answer:
4/15 or 20/75 or 0.733
Step-by-step explanation:
Total number of outcomes: 75
Number of outcomes in event we are looking for: 20
20/75 = 0.733 / 20/75 / 4/15
The function f(x)=260−55 x represents the distance, in miles, remaining on a trip x hours into the trip. What is the value of f(3)
Answers
95 miles.
ASAP PLZ
Melissa is driving on the highway at the legal speed of 65 mi/h. She notices there is an accident ahead approximately 200 feet away. Her reaction time is 0.75 of a second. Is she far enough away to bring the car to a safe and complete stop?
*Round your answers to 2 places after the decimal!
1 Reaction distance =
2 Breaking distance =
3 Total Stopping Distance =
4 yes or no
Answers
Answer:
You are asked to find the skid distance given the speed,
the drag factor, and the braking efficiency.
Step-by-step explanation:
Use the skid speed formula. S = √
_______
30Dfn
Substitute 50 for S, 1.2 for f,
and 0.9 for n. 50 =√
___________________
30 × D × 1.2 × 0.9
Simplify the expression under the radical. 50 = √
_______
32.4D
select the expression that is equivalent to (3d^4)^2
A. 6d^6
B. 9d^8
C. 9d^6
D 3d^8
Answers
Answer:
9d^8
Step-by-step explanation: found it online
The width of a rectangle is three units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle
Answers
length is 4
area= l*w
4-3=1
4*1= 4
HELLPPPPPPPPPPPPPPPPPPPPPPPPP If you get this right you get branilest
Answers
Answer:
D.
Step-by-step explanation:
-1 + 1 = 0
At a super market broccoli and celery are sold at $0.59 per 100 g and $0.26 pee 100g.how much do 1.2 kg of broccoli and 950 g of celery costs
Answers
1.2 kg of broccoli costs $7.08.
950 g of celery costs $2.47.
In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli
1 kg = 1000 g
100g = 0.1 kg
Cost of one kg of broccoli = $0.59 / 0.1 = $5.90
The second step is to determine the cost of 1.2kg of broccoli.
$5.9 x 1.2 = $7.08
In order to determine the cost of 950g of celery, the cost of 1g of celery.
$0.26 / 100 = $0.0026
The second step is to determine the cost of 950g of celery.
950 x 0.0026 = $2.47
A similar question was answered here: https://brainly.com/question/8138090?referrer=searchResults
Help me calculate the perimeter of this shape!
Answers
Answer:
32mm
Step-by-step explanation:
6 + 8 + 6 + 12 = 32mm
Answer:
32 mmStep-by-step explanation:
P = a + b + c + da = base
b = base
c = side
d = side
P = 8 + 12 + 6 + 6 = 32 mmCurrent rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third digits, but the last two digits cannot both be 1 (to avoid confusion with area codes such as 911). How many different area codes are possible with these rules? That same rule applies to the exchange numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10-digit phone numbers are possible? Given that these rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (Assume that the combined population is about 400,000,000.)
Answers
Using the fundamental counting theorem, we have that:
648 different area codes are possible with this rule.There are 6,480,000,000 possible 10-digit phone numbers.The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
8 options for the first digit.9 options for the second and third.Thus:
[tex]8 \times 9 \times 9 = 648[/tex]
648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
7 digits, each with 10 options.648 different area codes.Then
[tex]648 \times 10^7 = 6,480,000,000 [/tex]
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at https://brainly.com/question/24067651
Answer: Number of possible area codes: 792
Amount of 10-digit phone numbers: 6,273,640,000
Step-by-step explanation: