Answer:
[tex]S_{32}[/tex] = 140
Step-by-step explanation:
The sum of n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then
[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]
= 16(1 + 7.75)
= 16 × 8.75
= 140
This one as well, does anyone know the answer?
100 PTS! HELP QUICK!!
Answer:
x=1
Step-by-step explanation:
Why is all the answers on this website saying my work is wrong.
Answer:
you're wrong
Step-by-step explanation:
should have been "Why are all the answers on this website saying my work is wrong?"
Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81
Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers. What lockers will be left open?
pls help this is due tmrw
Answer:
Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
also, this one I have an answer but not rly sure so um help
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3
x-5/3=1 in the simplest form
[tex]\\ \sf\longmapsto x-5/3=1[/tex]
[tex]\\ \sf\longmapsto x=1+5/3[/tex]
[tex]\\ \sf\longmapsto x=3+5/3[/tex]
[tex]\\ \sf\longmapsto x=8/3[/tex]
Done
[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]
Simplify both sides of the equation[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]
Add 5/3 to both sides[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]
[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]
In a class of 35 student 19 takes history and 12 take Economic.if 5 take both subject how many take neither?
A high school athlete runs 1.00 ✕ 102 m in 13.65 s.
What is the velocity in m/s
What is the velocity in km/h?
answe:
102/13.65= 7.47m/s
then multoply by 3600 to get per hour
26.9 km/h
what is (x-2) (3x-4)=
a.3x² - 6x-8
b.3x² - 2x - 8
c.3x² + 10x + 8
d.3x² - 10x + 8
Answer:
D. 3x^2-10x+8
Step-by-step explanation:
[tex] \: \: \: \: \: [/tex]
D. 3x²- 10x + 8hope it helps
refer to the attachment
[tex] \: \: \: \: \: [/tex]
The measure of ones angle of a triangle is 40. The measure of the other two angles are in a ratio of 3:4
Answer:
40, 60, 80
Step-by-step explanation:
angles are 40, 3x, 4x
40+ 3x + 4x = 180
40 + 7x = 180
7x = 180 - 40
7x = 140
x = 20
so the angles are 40, 60, 80
Which equations are true equations?
Select all correct answers.
54 ÷ 6 + 3² = 4 + 4²
8042=10−22−1
62−22=4+7⋅22
19−2⋅5=9⋅73−9
Answer:
B and C
Step-by-step explanation:
Took the test and 80/4^2 = 10 - 2^2 - 1 and 6^2−2^2=4+7⋅2^2 are the answers. Hope this helps :D
None of the equations is true.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The first equation is 54 ÷6 + 3² =4 + 4².
Simplify the equation:
54 ÷6 + 3² =4 + 4²
9 + 9 = 4 + 16
18 = 20
The left side and the right side of the equation are not equal, hence the first equation is not true.
Simplify the second equation:
8042 = 10-22-1
8042 = -13
The second equation is also false.
Simplify the third equation:
62−22=4+7⋅22
40 = -11
The third equation is also false.
Simplify the fourth equation:
19−2⋅5=9⋅73−9
16.5 = 0.73
The fourth equation is also false.
Hence, none of the equations is true.
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ5
HELP ME PLSSSSSSSSSSSSSSSSSSSS
can someone help me please i need to get this right
Answer:
If there are 2 quarters for every 3 nickels,
then there are [tex]45*\frac{2}{3} =30[/tex] quarters.
If there are 2 dimes for every quarter,
then there are [tex]30*2=60[/tex] dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.
Please show work, I have no idea how to do this
Answer:
161 Remainder 4
Step-by-step explanation:
trust me on this
Answer:
_
161.2 BUT if with remainder it is 161 with a remainder of 4
Step-by-step explanation:
By the way the 2 is a repeating number so make sure to add that line at the top.
Find the size of angle XZY.
Give your answer to 1 decimal place,
Z
15 cm
Y
6 cm
Answer:
23.6 degrees
Step-by-step explanation:
I NEED A ANSWER ASAP!!
A dog park is 100 yards long and the town wants to install water bowls for their beloved pups. If the town wants a water bowl at each end and every 20 yards i
between, how many water bowls need to be installed?
Answer:
5
Step-by-step explanation:
5*20=100
Please help me I do not understand what to do or what the answer is.
Answer:
the slope is
2/3x+2
Hope This Helps!!!
which is the largest ratio? 5/36, 2:9, 3 to 18, 1:3
7. Which three lengths could be the lengths of the sides of a triangle
O 11 cm, 11 cm, 24 cm
O 18 cm, 12 cm, 9 cm
O9 cm,
19 cm,
10 cm
O4 cm, 7 cm, 23 cm
The sum of the lengths of two sides of a triangle cannot be less than the length of the third side.
So,
3.9cm, 19cm, 10cm
Keith spent $8 on tomatoes. How many did he get?
Answer:
its got 6
Step-by-step explanation:
I REALLY DONT KNOW
Answer:
Step-by-step explanation:
Let t be the unit cost of the tomatoes: e. g., t = $1.25/lb.
If Keith spent $8 on tomatoes, the number he bought would then be
$8
------------- = 6.4 lb of tomatoes
$1.25/lb
Of course he couldn't buy 0.4 tomato, but this method of calculating how many tomatoes he could buy theoreticallyl is correct.
The general formula would be
$8
------------ and the end result would be the number of pounds Keith could
$t / lb buy for $8.
karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now
Answer:
Karl is 16 and Danny is 12
Step-by-step explanation:
How many pounds is a pepper?
I really need to know.
Answer:
4-5 ounces or 113-142 grams
Step-by-step explanation:
Pleaaas help meeeee pleasssss
Answer:
For the first row, it's 6, 12, 18, 24, 30
Second row: 4, 8, 12, 16, 20
Step-by-step explanation:
You're just counting by multiples of 6 for the first row and 4 for the second row. Denominator means the number underneath the fraction line
Solve the equations. 81^x^2=27^x
Answer: 81ײ=27× x = 6
6. A pollster reports, with 95 percent confidence, that between 55 and 61 percent of all Americans favor mandatory drug testings for employees in positions of public trust (bus drivers, airline pilots, etc). The point estimate for the unknown population proportion (who favor mandatory drug testing) equals a) 55 percent. b) 58 percent. c) 61 percent. d) some unknown percent.
Answer:
b
Step-by-step explanation:
what is coefficient of 10 and a constant of 5?
Answer:
10x+5.................
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?
Answer:
31 hours
Step-by-step explanation:
First you take 313.50 divide that by 15 get 20.9 per hour
Then you take 647.90 and divide that by 20.9
So then you're left with 31 as your answer.
help me pleaseeeeeeeee
Answer:
a) 84m
b) 86cm
Step-by-step explanation:
a) 8316/99=84
You take to whole and divide it by the length to get the width.
b) 288-58-58=172/2=86
You take the width and subtract it from the perimeter twice because there are two sides. then take that answer and divide it by two to get what your last two sides equal. This gives you the length.
Which is the simplified form of the expression ? A. B. C. D.