Hello! I'm happy to help you with your question. Here's the notation for each sequence:
(a) 2 + 4 + 6 + 8 + ... + 2n can be rewritten as:
∑(2i) where i goes from 1 to n.
(b) 1 + 5 + 9 + 13 + ... + 425 can be rewritten as:
∑(4j-3) where j goes from 1 to 106. (Note: 425 is the 106th term in this sequence)
(c) 1 + 12 + 13 + 14 + ... + 150 can be rewritten as:
1 + ∑(k) ,where k goes from 12 to 150
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Please find the measure of angle F
Answer:
98º
Step-by-step explanation:
DONT DO PART C you do not need to do that one i only need help on A and B please.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x - y = 5 → (1)
4x + y = - 10 → (2)
Rearrange (1) expressing y in terms of x
(a)
y = x - 5 → (3)
Substitute y = x - 5 into (2)
4x + x - 5 = - 10
5x - 5 = - 10 ( add 5 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into (3) for corresponding value of y
y = - 1 - 5 = - 6
(b)
As a check
Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution
(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True
(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True
Thus solution is (- 1, - 6 )
A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the length of the side of the square?
Answer:
22.36
Step-by-step explanation:
22.36 X 22.36 =(Approx) 500 feet2
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
How many pounds of grapefruits did Eloise buy?
Answer:
6.24 pounds
Step-by-step explanation:
12 x .52 = 6.24 pounds
Answer:
The answer would be 6.24lb
Step-by-step explanation:
I took the k12 test
How would you write this number in numeric form?
twenty-two and ninety-four thousandths
Answer:
22.094
Step-by-step explanation:
4x^2+4x^2-20x+12y-2=0 standard form
Answer:
4x²+4y²-20x+12y-2=0
4x²-20x+4y²+12y = 2
4(x²-5x) + 4(y²+3y) = 2
4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4
4(x-5/2)² + 4(y+3/2)² = 36
(x-5/2)² + (y+3/2)² = 9
Step-by-step explanation:
hope this helped :)
Answer:
y= -2/3x^2 + 5/3x + 1/6
Step-by-step explanation:
Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır
A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-
9.SINIF SALLAMAYIN DEVAMI FOTODA
Answer:
I would love to help, Could you put the question in EnglisStep-by-step explanation
Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
Is this trapezoid an isosceles trapezoid?
Select from the drop-down menu to correctly complete the statement.
Trapezoid KLMN
is not
an isosceles trapezoid.
Answer:
Yes, the trapezoid is an isosceles trapezoid.
As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.
What is the area of a trapezoid?The area of a trapezoid is the average length of the parallel sides times the height.
We know isosceles trapezoids have equal legs length and diagonals are also of the same length.
Given a trapezoid KLMN with verticies K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.
To determine if KM and LN are equal or not we'll simply use the distance formula which is,
D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].
∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].
KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].
KM = [tex]\sqrt{5}[/tex].
And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].
LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].
LN = [tex]\sqrt{ 4 + 9}[/tex].
LN = [tex]\sqrt{13}[/tex].
∴ KM ≠ LN hence diagonals are not equal.
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You are baking cookies for a bake sale. It takes 30 minutes to mix the cookie dough and 10.5 minutes to bake a sheet of cookies. The total time can be modeled by t(x) = 10.5x+30, where x is the number of sheets of cookies baked. a. Graph the function and identify its domain and range. b. Find and interpret the value of x so that t(x) = 114.
Solve for y : y/2 - 5= -11 (I need help I’m a bit confused).
When the angle of elevation to the sun is 42 a flagpole casts a shadow that is 21 ft long. What is the height of the flagpole to the nearest foot?
Answer:
18.91 cm
Step-by-step explanation:
Let x represent the height of the flag pole
Tan= opposite/ adjacent
Tan 42°= x/21
x= Tan 42° × 21
= 0.9004 × 21
= 18.91 cm
Hence the height is 18.91 cm
Ella practices piano for 45 minutes she spends m minutes longer working on her homework than she does practicing the piano
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but let's assume that you want to know the amount of time that she spends working on her homework.
Since we are informed that Ella practices piano for 45 minutes and that she spends m minutes longer working on her homework than she does practicing the piano, the expression to get the number of minutes that she uses on her homework will be:
= 45 + m
For example let's say that she spends 7 minutes more in her homework. Therefore, the total minutes spent on the homework will be:
= 45 + 7
= 52 minutes
HELP I NEED HELP ASAP
A population of mice grows at a rate of 7% each year. Which function, f(t), could represent the total number of mice after t years?
Answer:
B
Step-by-step explanation:
As it is mentioned in the question that the mice grows at a rate of 7%, it would be answer B. Hope this helps, thank you !!
PLZ HELP ME :(
Tanisha lives in an apartment and pays the following expenses each month: electric bill,$42.60; TV streaming service,$27.99; and rent,$587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A.)$659
B.)$650
C.)$670
D.)$660
Answer:
D)$660
Step-by-step explanation:
Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.
Simple question: What is the difference between 32% vs 15%?
Answer:
Look below :)
Step-by-step explanation:
Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!
Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age
Answer: Kristina sister's age = 15 years
Step-by-step explanation:
LET the sister's age be rep as x
SO that Kristina = 4/5 of x
Given that Kristina's age = 12 , Then her sister's age can be found using The equation
4/5 x X= 12
4/5 X =12
X = 5 X 12 / 4
=60/4=15
Kristina's sister's age = 15 years.
1/6 + (-7/9) in simplest form
Answer:
Step-by-step explanation:
3/18 + (-14/18)= -11/18
What is the solution to the system of equations below?
y = 5x+6 and Y--x-4
Answer:
the answer is number ten!!!!!!!!!!!!
Step-by-step explanation:
PLEASE HELP! ASAP please help
Answer:
( 3 , -5 )
Step-by-step explanation:
please help will mark braileist
Answer:
EG
Step-by-step explanation:
Maria had 6 feet of ribbon. She will cut the ribbon into pieces that are 2/3 of a foot long. How many pieces of ribbon will Maria have?please solve!
Answer:
2/3 x 9 = 18 divided by 3 = 6
answer is 9
this is for keigo-san ^^
whats 6x3-9x=
Answer:
18-9x
Step-by-step explanation:
Answer:
18-9x
Step-by-step explanation:
the maximum number of students in a classroom is 26. if there are 16 students sign up for the art class,how many more students can join the class without exceeding the maximum? ues ">=" for more than and "<=" for less than.
and thanks for answering
Answer:
x = 16 ≥ 26
Step-by-step explanation:
x = 10
10 + 16 = 26
Sorry for the delay, my man!
V (x) = (18 - 2x) (24-2x) (x)
what is a reasonable domain for V in this context?
Answer:
What are you asking?
Step-by-step explanation:
The domain of the given expression is all real numbers.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The given function is v(x) =(18-2x)(24-2x)(x).
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation: (-∞, ∞)
Set-Builder Notation: {x|x∈R}
Therefore, the domain of the given expression is all real numbers.
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I need help please first answer will get brainliest
Answer:
Mean- 14.5
Median- 15.5
Interquartile Range- 7.5
Step-by-step explanation:
The mean is a type of average. It is the sum (total) of all the values in a set of data.
The median is the middle number in a sorted, ascending or descending, list of numbers.
The interquartile range describes the middle 50% of values when ordered from lowest to highest.
27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024
Answer:
D. 1024
Step-by-step explanation:
Each question can be answered 4 ways.
4 * 4 * 4 * 4 * 4 = 1024
D. 1024
Solve the following equation. Show all work and check your answer: 5j=625?
Answer:
j = 125
Step-by-step explanation:
All you do is take 625 divided by 5 to get 125. Replace j for 125 to get 625 so j is equal to 125.
9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?
Answer:
8% interest rate
Step-by-step explanation:
step-by-step explanation: intrest = 484
7.5 is what percent of 50?
Answer:
15%
Step-by-step explanation:
plz i need help hurry
and how do you mark brainliest
Answer:7 times 3.14=21.98
Step-by-step explanation:click the crown at the bottom of my answer
Answer:
43.98
Step-by-step explanation:
arc length =2* pie * r