Answers
Answer:
[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].
Step-by-step explanation:
The given expression is
[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]
We need to find first 3 terms, then we have evaluate the value.
Here,
[tex]a_i=1-2i[/tex]
For i=1,
[tex]a_1=1-2(1)=1-2=-1[/tex]
For i=2,
[tex]a_2=1-2(2)=1-4=-3[/tex]
For i=3,
[tex]a_3=1-2(3)=1-6=-5[/tex]
So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.
Now,
[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]
[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]
Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.
Related Questions
y = 6x - 11
- 2x – Зу = -7
Solve the systems of equations by substitution
Answers
The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
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Hello All,
Please look at attached.
They are Maths Questions.
I will give Brainliest and also give 15 points.
Please remember to ask me questions if you do not understand
Cheers,
Jake
Answers
Answer: (going down the table)
1) 5, 8, 6, 1
2) 2, 6, 10, 2
Step-by-step explanation:
count how many are in that bracket.
EG:
1) the amount of numbers between 5 and 10, including 5
etc
Aisha wants to paint the four walls of her living room. Each wall is 2.1 m high and 4.5 m long. One wall has a door of 1.8 m by 0.9 m. Tins of paint cost £10 per 1.5 L tin. Each litre of paint can cover 12 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room?
Answers
Answer:
£25 or £20.10
Step-by-step explanation:
calculate the area to be painted:
2.1x4.5= 9.45m^2 for each wall
x4= 37.8m^2
area of door= 1.8x0.9= 1.62m^2
subtract the area of the door from the wall area
37.8-1.62= 36.18m^2 to be painted
divide the area by the area that 1L of paint can cover
16.18/12= 3.015 L needed
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.
£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25
or
calculate price for 0.015L
1.5=£10
divide both sides by 100
0.015= £ 0.10
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L
£20+£0.10= £20.10
I DONT KNOW IF THIS IS RIGHT but hope it helps :)
Answer: 25
Step-by-step explanation:
Lewis told me
The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?
Answers
Answer:
Volume = length × width × height
length = 16
height = 5
V= 16 × w × 5
V = 80w
Hope this helps.
8(3+a)=64 what is a=?
Answers
Answer:
5
Step-by-step explanation:
8(3 + a) = 64
3 + a = 8
a = 5
The value of a is 5.
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Solve for y: 3y + 6 = -45
Answers
Answer:
Step-by-step explanation:
solution :
y = -17
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*y+6-(-45)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
3y + 51 = 3 • (y + 17)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : y+17 = 0
Subtract 17 from both sides of the equation :
y = -17
solution was found :
y = -17
What is the value of y?
Answers
Answer: ∠JKM = 106\textdegree and
∠JKM = 74\textdegree
Step-By-Step-Explanation
Since we have given that
∠JKM=10y+6
∠MKL=8y-6
Since they are linear pairs ,
So,
∠JKM =
and
∠MKL =
8. ABCD is a quadrilateral. Work out the size of y.
B
2y
A
68°
y +48°
D
C
Answers
Answer:
y+48degrees
Step-by-step explanation:
Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents
Answers
Answer:
C
Step-by-step explanation:
[tex]\frac{y^{3/4} }{y^{1/2} }[/tex] Original expression
[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex] Division Property of Exponents
[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex] Find a common denominator (4)
[tex]y^{\frac{1}{4} }[/tex] Simplify
[tex]\sqrt[4]{y}[/tex] Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)
PLEASE HELP, BEEN STUCK FOR AN HOUR!!
Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
Function g is represented by the table.
x 0 1 2 3 4
g(x) 75 43 27 19 15
Which statement correctly compares the two functions on the interval [0, 4]?
A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Answers
Answer: C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Step-by-step explanation:
Let first work out g(x)
When x = 0
g(x) = 75
When x = 1
g(x) = 75( 1 - 50%)
g(x) = 75(0.5) = 37.5
Which is less than 43
With this, we can conclude that:
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Answer:
Step-by-step explanation:
The awnser is c because the person above me was right
can anyone help me and please explain
Answers
The answer is r=2/5b
solve for 25x2 + 9 = 30x
Answers
Answer: [tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Move all terms to one side.
[tex]25x^2+9-30x=0[/tex]
Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]
[tex](5x)^2-2(5x)(3)+3^2=0[/tex]
Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](5x-3)^2=0[/tex]
Take the square root of both sides.
5x-3=0
Add 3 to both sides.
5x=3
Divide both sides by 5.
x= 3/5
SHOULD BE EASY!!! which one is it??? please i need help ASAP.
Answers
Answer:
Commutative property
Step-by-step explanation:
#4
i need help with both questions on the screen. if you can only answer one thats fine too!
Answers
Answer:
11. [tex]b = 30[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Substitute
[tex]16^{2} + b^{2} = 34^{2}[/tex]
[tex]256 + b^2 = 1156[/tex]
[tex]b^2 = 1156-256\\b^2 = 900[/tex]
[tex]b = \sqrt{900}[/tex]
[tex]b = 30[/tex]
Your welcome and don't forget to say Thanks
There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can the group of interviewees be made?
Answers
The quick way to get the answer is just type "42 choose 11" into Google.
Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.
Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.
Final expression:
C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
Answers:
4,280,561,376 ways
Answer:
42,11
Step-by-step explanation:
I need help on these two questions please.
Answers
Answer:
They are similar
Step-by-step explanation:
What is the area of the figure shown in the picture?
Answers
Answer:
69.82in^2
Step-by-step explanation:
Rectangle
[tex]A=lw\\=5*12\\=60in^2[/tex]
Semicircle
[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]
Add altogether
60+9.82
=[tex]69.82in^2[/tex]
Which is the graph of fx=2(3)^x
Answers
Answer:
The graph is attached below. Just google it "plot(2(3)^x)"
need answered ASAP pleaseee
Answers
Answer:
the answer for this question is -30
At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points
Answers
Answer:
600
Step-by-step explanation:
% of students in the band = 28%
No. of students who are in the band = 168
Let us take the total no. of students as x
So, 28/100×x=168
= 600
Examine the two-step equation. -7/4+x/4=2 Which property of operations allows you to add the same constant term to both sides? multiplication property of equality division property of equality addition property of equality subtraction property of equality
Answers
Answer:
Addition property of equality
Step-by-step explanation:
Answer:
The correct asnwer for this question is C. addition property of equailty
Hope this helps, and have a wonderful day! :)
Step-by-step explanation:
Lines a and b are parallel. If the slope of line a is 3 , what is the slope of line b?
A. -3
B. -1/3
C. 1/3
D. 3
Answers
Answer:
D.
Step-by-step explanation:
They are parallel and therefore has the same slope.
Which expression is equivalent to sqrt 100
Answers
Answer:
10
Step-by-step explanation:
[tex]\sqrt{100} \\=10[/tex]
because [tex]10^2 = 100[/tex]
√10², √10×10 are the equivalent expressions of √100.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is √100.
Square root of 100.
Equivalent expressions are expressions that work the same even though they look different.
√100
Square root of ten square.
√10²
Square root of ten times of ten.
√10×10
Ten
10
Hence, √10², √10×10 are the equivalent expressions of √100.
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pls help show ALL work
Answers
Answer:
B. 5.81
Step-by-step explanation:
So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answers
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.
Answers
Answer:
The scale factor is 1.5
Step-by-step explanation:
In the picture attached, the line AB is shown.
The first 3 steps are to measure some lengths
OA = 2 units OA’ = 3 units OB = 3 units OB’ = 4.5 unitsAB = 2.2 A’B’= 3.3The last 3 steps are to compute these ratios
OA'/OA = 3/2 = 1.5 OB'/OB = 4.5/3 = 1.5 A'B'/AB = 3.3/2.2 = 1.5Answer:
see explanation
Step-by-step explanation:
1. Measure these lengths:
OA - 2.0 units
OA' - 3.0 units
2. Measure these lengths:
OB - 3.0
OB' - 4.5
3. Measure these length's:
AB - 2.2
AB' - 3.3
4. Calculate the ration: OA' / OA = 1.5
5. Calculate this ratio: OB' / OB = 1.5
6. Calculate this ratio: A'B' / AB = 1.5
Inductive reasoning is when someone uses lots of data to make a conjecture
A. True
B. False
Please answer this I need help now
Answers
The answer to that question is true.
We have given that,
Inductive reasoning is when someone uses lots of data to make a conjecture.
What is the Inductive?Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.
We have to determine whether the statement is true or false.
The answer to that question is true.
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Convert 36 inches to feet. There are 12 inches in a foot.
Answers
Answer:
3 feet
Step-by-step explanation:
Step by Step Explanation:
Since there are 12 inches in a foot you would divide 36 by 12 to get 3ft
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.
State the Domain and Range for this equation in the context of the problem scenario?
Answers
Answer:
x-intercept: x=24
DOMAIN: (0,24) where x∈Natural Numbers
RANGE: (0,12) where y∈Natural Numbers
Step-by-step explanation:
Remain money = y
Number of games = x
Given function:
[tex]y=12-0.5x\\[/tex]
x-intercept:x-intecept is the value of x where y becomes zero.
Substitute y=0 in the given equation:
[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]
Domain:Domain is a set of all possible values of x.
x= No. of games (So x cannot be negative)
y= Remain Amount (So y cannot be negative)
So the minimum value of x is 0 because x cannot be negative.
Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.
So maximum value of x is 24
DOMAIN: (0,24) where x∈Natural Numbers
Range:
Range is a set of all outcomes of y for all possible values of x.
For x=0 , y =12
for x=24 , y = 0
So
RANGE: (0,12) where y∈Natural Numbers
Please help! Read question 5.
Answers
1 centimeter =10 millimeters
10x3=30millimeters
30+47=77 millimeters
Hope that helps :).