Answers
Answer:
[tex]S_{n}[/tex] = n² + 4n ; n = 11
Step-by-step explanation:
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2 [tex]a_{1}[/tex] + (n - 1)d]
~~~~~~~~~
[tex]a_{1}[/tex] = 5
d = 7 - 5 = 2
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2(5) + 2(n - 1)] = [tex]\frac{n}{2}[/tex] ( 8 + 2n ) = 4n + n²
[tex]S_{n}[/tex] = n² + 4n
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ n = 11
Related Questions
100pts!!!PLZ answer my question with STEP BY STEP EXPLANATION... Plz for God's sake PLZ....
Answers
Answer:
Don't know sorry
Step-by-step explanation:
Thanks for the points
Answer:
not sure
Step-by-step explanation:
Dr. Graves placed the Venn Diagram and list of numbers on the board.
-0.24, 5/17, 287, 1.3, -91, -2 2/5
She asked her students to determine the label for each set of numbers and place each number in the Venn diagram. Which Venn diagram shows the labels and numbers accurately displayed?
Answers
Answer:
JStep-by-step explanation:
List of numbers on the board:
-0.24, 5/17, 287, 1.3, -91, -2 2/5We can split the numbers as following
Rational numbers:
All listedIntegers:
287 and -91Whole numbers:
287Correct diagram is J
Using the diagram, find the measure of the angle indicated in bold.
A 95
B 110
C 120
D 130
Answers
You earn 3% each year on your initial investment amount of $2000. How much interest do you earn after 2 years?
Answers
Answer: You earn 6% interest on that the next year.
Ms. Kork sold her car for $8700. This was $100 more than two fifths of what she had paid for the car originally. How much mad Ms. Kork paid for the car?
Answers
Answer:
8600 is 100 less
3440?
Step-by-step explanation:
Hopefully you guys can see this. This is the 2nd part to my 1st question. The picture with the colored shapes is the 1st part which was already answered gratefully. You can use that picture to help you answer this.
I’ll be giving out a lot points for this as well as Brainliest to whoever answers correctly.
Thank you in advance and take your time.
Answers
Answer:
what are the rods? Are they the same ones as used in the diagram
Step-by-step explanation:
What is the angle measure of angle MPQ?
Answers
Answer:
125°
Step-by-step explanation:
Find the value of x first.
5x = 3x + 50 (corresponding angles are congruent)
Subtract 3x from each side
2x = 50
Divide both sides by 2
x = 25
Angle MPQ = 3x + 50
Plug in the value of x
Angle MPQ = 3(25) + 50 = 125°
8 pencils for 14 dollars
Answers
Answer:
1 pencil will be for 1.75 $
Answer:
$1.75 for each pencil.
Step-by-step explanation:
if you're asking the price for each pencil then its 1,75 for each because 8 multiplied by 1.75 is 14 :))
The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb. What was the percent increase?
Answers
Answer:
225%
Step-by-step explanation:
1. Divide the new weight by the original weight.
90/40 = 2.25.
2. Multiply by 100 to get the percentage.
2.25 x 100 = 225%
The percentage increase of the child from 1990 to 2005 is 125%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb.
So, The amount of weight increase is (90 - 40)lb = 50lb.
∴ The percentage increase is,
= (50/40)×100%.
= 125%.
learn more about percentage change here :
https://brainly.com/question/14801224
#SPJ2
What is the difference between -4 and 6
-10
-2
2
10
Mark brainly if ur right please help ASAP
Answers
Hey,
Answer:
2 and -2
Good luck :)
The volume of one of the buildings in the downtown area is 589,824 cubic meters. The building is 8 times as tall as the radio tower on top of the building. The square base has a side that is 24 times 4 meters less than the height of the radio tower. How tall is the radio tower?
Answers
Answer:
10.2
Step-by-step explanation:
please help can't figure it out...
Match the term to its definition.
1. every two weeks.
2. a time period in which income is earned.
3. a payment based on a time period.
4. twice a month.
5. a payment based on actual working time or actual production.
biweekly
pay period
wage
salary
semimonthly
Answers
Answer:
1. biweekly
2. pay period
3. salary
4. semimonthly
5. wage
Answer:
biweekly- every two weeks
pay period- a time period in which income us earned
wage- a payment based on actual working time or actual production
salary- a payment based on time period
semimonthly- twice a month
Step-by-step explanation:
The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=
Answers
Answer:
The values are:
a = -5/2
b = -6
c = -7
Step-by-step explanation:
Given
P = (x₁, y₁, z₁) = (1, 2, b)
Q = (x₂, y₂, z₂) = (c, -7, 4)
As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so
m = R = (x, y, z) = (-3, a, -1)
Using the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the values in the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
as (x, y, z) = (-3, a, -1), so
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
so solving 'c'
-3 = (1+c) / (2)
-3 × 2 = 1+c
1+c = -6
c = -6 - 1
c = -7
solving 'a'
a = (2+(-7)) / 2
2a = 2-7
2a = -5
a = -5/2
solving b
-1 = (b+4) / 2
-2 = b+4
b+4 = -2
b = -2-4
b = -6
Thus, the values are:
a = -5/2
b = -6
c = -7
Verification:
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
put a = -5/2, b = -6, c = -7
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{1+\left(-7\right)}{2},\:-\frac{5}{2},\:\frac{\left(-6\right)+4}{2}\right)[/tex]
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{-6}{2},\:-\frac{5}{2},\:\frac{-2}{2}\right)[/tex]
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(-3,\:-\frac{5}{2},\:-1\right)[/tex]
a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth
Answers
Answer:
$6414
Step-by-step explanation:
Step one
given
Principal=$2,000
rate= 6%= 0.06
Time= 20 years
Required
The final amount
Step two:
The compound interest formula is
A= P(1+r)^t
substituting we have
[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]
The amount given to the college is $6414
how to find x of the (x+95) and (4x-10)
Answers
Answer:
x=35
Step-by-step explanation:
x+95=4x-10
Subtract x on both sides
95=3x-10
Add x on both sides
105 = 3x
x=35
Hope this helps plz hit the crown :D
Answer:
x = 35
Step-by-step explanation:
(x + 95) = (4x - 10) get rid of the parentheses
x + 95 = 4x - 10 put the x's together and put your constants together
105 = 3x divide 3 from both sides
35 = x
Hope this helps
A 15% tip on a $20.05 lunch bill is about ...
A. $0.15
B. $1.50
C. $3.00
D. $2.05
I will give brainliest to whomever gives the answer and an explanation!! Please help!
Answers
if there are 7282 male students at georgia institute of technology, how much females are there?
Answers
Answer:
2974
Step-by-step explanation:
female/male = 29/71
female =male*29/71 =7282*29/71= 2974.33 =2974
ARIHANNAL
Session 2: Calculator
Question 22
X+Y
Line
Guide
Jason took out an $800 loan from his bank two years ago. He recently paid $860 back to the bank. This included the original loan amount
and the simple interest charged to him.
What was the annual interest rate of Jason's loan?
a 3%
D 3.75%
7.5%
15%
Answers
Answer:
I think its 3 or 3.75 you can check
Step-by-step explanation:
What is the solution to the equation 9(x + 2) = 27? (1 point) Group of answer choices x = 2.5 x = 0.5 x = −0.5 x = −3.5
Answers
Answer:
Well i got 1
Step-by-step explanation:
because you need to take 9*x and 9*2
9x + 18= 27
-18 -18
9x =9 divide by 9 on each side and get one
The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages of Jack and his father. Question 5 options: 10, 42 9, 43 9, 61 9, 45
Answers
Answer:
43 9
Step-by-step explanation:
sum of their ages is 52
let Jack's age be x = 5×x= 5x
his father's age is 2<5x
What postulate/theorem can be used to prove the following triangles congruent?
Answers
Answer:
SAS
Step-by-step explanation:
2 sides and 1 angle are congurent
Answer:
The S.A.S rule can be used to prove the following triangles congruent.
Step-by-step explanation:
The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2 sides and angle of the other triangle, then u can considere that triangle congruent.
Round the 173.235 to the nearest hundredth.
Answers
Answer:
173.200
Step-by-step explanation:
Really need help !!!!!!!!
Answers
You and your best friend have decided to go out Friday night to spend the money you received from having a great report card. The amount of money each received is $25. You are deciding if you would like to go bowling at Splitsville or go to a movie at Paragon Village.
Question : Write an equation to determine the number of friends who can come to the movie (Paragon Village) with both of you if you and your best friend put your money together and only buy one large combo.
Paragon Village: Tickets are $5 per person and a large combo (Large Popcorn and Large Drink) is S7 together.
Splitsville: Games are $6.00 per person and shoe reantal is $2.
I need help, please try you're best and show you're work(if you want). I need a eqation. Hope you the best of luck.
Answers
Answer:
Step-by-step explanation: X=-4y+4
Help please an someone explain this to me i'm confused
Answers
Answer:
Jesus I can't help, I would take the educational guess if I was you
Step-by-step explanation:
find the magnitude and direction in degrees of the vector v=6i+2 seq31
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the vector
v = 6i + 2√3j
The Magnitude of a vector:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]
[tex]=\sqrt{36+12}[/tex]
[tex]=\sqrt{48}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]
[tex]=\sqrt{3}\sqrt{2^4}[/tex]
[tex]=4\sqrt{3}[/tex]
The Direction of a vector:
tan Ф = y/x
y=2√3
x = 6
tan Ф = y/x
= 2√3 / 6
= √3 / 3
[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]
[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]
lIf f) = 6x -4, what is f(x) when x= 8?
Answers
Explanation:
6(8) - 4
6•8= 48
48-4=44
Hope this helps!
1.Find the eqn of line passing through the point of intersection of lines 5x+y=7 and 3y=4x-5 and parallel to the line 2x-y=3
Answers
Answer:
y = 2x - 259/115 [slope-intercept]
-230x + 115y = -259 [standard form]
Step-by-step explanation:
First make sure both of the intersecting lines are in standard form: Ax + By = C.
Then, multiply one of the equations by a certain quantity so one of the variables can be canceled out.
For example:
given 5x + y = 7, and 3y = 4x - 5.
You can rearrange the second equation since it is not currently in standard form.
So all we need to do is subtract both sides by 4x since that will leave the constant of C by itself.
3y = 4x - 5 → 3y - 4x = 4x - 5 - 4x →
3y - 4x = -5.
Now adding a negative number is the same as subtracting a positive number, this is because subtraction is the opposite of adding.
So 3y - 4x = -5 = 3y + (-4x) = -5 →
-4x + 3y = -5
Please answer this thanks
Answers
Answer:
$66.24
Step-by-step explanation:
TIP:
55.20 x 0.15 = 8.28
TAX:
55.20 x 0.05 = 2.76
Answer:
55.20 + 8.28 + 2.76 = 66.24
(Also always tip your server 20% unless they were bad)
IF CORRECT I WILL GIVE BRAINLIEST!!
Please help me do this problem!
Screenshot below!
Answers
Answer:
9
Step-by-step explanation:
