6. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)
12 + (n-1)(3)
3,24, 27
0,9,27
12,24, 42
12, 21, 39
Answers
Answer:
[tex] A_1 = 12[/tex]
[tex] A_4=21[/tex]
[tex] A_{10}= 39[/tex]
Step-by-step explanation:
[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]
Related Questions
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answers
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ3
The Marked price of an article is rupees 4500. After allowing some percent of discount and levying 10% VAT it is sold at 4400, find discount percentage
Answers
Answer:
given,
mp= 4500
now
discount amount=dis%of mp
=x%of 4500
=45x
now,
sp=mp- discount
=4500-45x
now,
vat=vat%of SP
=10%*4500-45x
=450-45x
now,
sp with vat=sp+vat amount
=4500-45x+450-45x
=4950-90x
now,
4950-90x=4400
or,-90x=-550
or, x=55/9
or, x=6.11%
therefore, dis percent is 6.11%
9514 1404 393
Answer:
11.11%
Step-by-step explanation:
Let d represent the discount, as a fraction. Then the final price is ...
4500(1 -d)(1 +10%) = 4400
1 -d = 4400/(1.10·4500)
d = 1 - (4400/4950) = 0.111... ≈ 11.11%
The discount percentage is about 11.11%.
convert the binary number into decimal =11³
Answers
i hope this was helpful!
Which of the following tables represents a proportional relationship?
A.
x 2 3 4 5
y 3 6 9 12
B.
x 2 4 6 8
y 3 4 5 6
C.
x 1 4 7 10
y 0 3 6 9
D.
x 2 4 6 8
y 3 6 9 12
Answers
Answer:
Step-by-step explanation:
the answers c
help me plsssssssssss agian
Answers
Answer:
B
Step-by-step explanation:
Answer:C
Step-by-step explanation:
A train leaves the station at time = 0. Traveling at a constant speed, the train travels 330 kilometers in 3 hours. Answers parts a and b. A. Write a function that relates the distance traveled d to time t. The function that relates the distance traveled d to the time is.
Answers
Answer:
The function that relates the distance traveled d to the time t is
f(t) = 110t, where d = f(t)
Step-by-step explanation:
From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours
We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions
Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour
Then d= 110t---------------eqn(1)
If if t = 0, then d = 0, as well since at t=0 the train is at the station
At t = 1 then d = 110.
From equation (1) d can be replaced by f(t) then we have
f(t) = 110t----------------eqn(2)
Now we replace d by f (t), because d = f t):
f(t) = 120t
Therefore, The function that relates the distance traveled d to the time is f(t) = 120t
Cory is a bird watcher he estimates that 30% of the birds he sees are american robins, 20% are dark eyed juncos and 20% are slnc sparrows. he designs a simulation.
Answers
Answer:
I think C. 0.75
Step-by-step explanation:
The probability of seeing at least one robin in the next 5 birds is 0.75
How to determine the probability?The representations are given as:
American robins = 0 to 2Dark eye juncos = 3 and 4Song sparrows = 5 and 6Others = 7 to 9Using the above representations, the numbers that represent an occurrence of seeing at least one robin in the next 5 birds are:
05716 16803 32177 92290 72794 14333 79019 05943 77510 74051 87238 86481 94036 12749 24005
The number of occurrence is:
Number = 15
The number of simulation is 20
So, the probability of seeing at least one robin is:
P = 15/20
Divide
P = 0.75
Hence, the probability of seeing at least one robin is 0.75
Read more about probability at:
https://brainly.com/question/251701
#SPJ5
Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form
Answers
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
Can someone pls help me :-(
Answers
Answer:
One: x = 3/32
Two: y = 3/10
Step-by-step explanation:
One
y = k*x
1/4 = k* 1/8 Multiply both sides by 8
8(1/4) = 8*k*(1/8)
8/4 = k
k = 2
=======================
3/16 = 2*x Divide by 2
3/32 = x
Two
y = 2/5
x = 1/3
2/5 = k * 1/3 Multiply both sides by 5
2 = 5*k * 1/3
2 = 5/3 * k Multiply both sides by 3
6 = 5 * k Divide both sides by 5
6/5 = k
y = 6/5 * x
x = 1/4
y = 6/5 * 1/4
y = 6/20 = 3/10
Mias mom paid 22.50 for 5 pizzas for a family
What is the rate for cost per pizza ...
What’s the unit price ...
Answers
find the solution to following system using substitution or elimination
y = -x + 10
y = 7x + 2
A. (1,9)
B. ( 3/2 , 17/2)
C. (9,65)
D. (1, -1/7)
Answers
Answer:
the answer is (1,9)
Step-by-step explanation:
Just the answer choices, not the box.
Answers
Answer:
the first one
Step-by-step explanation:
its the first one since you can be exactly 42 inches to ride the crazy carts
I WILL GIVE 25 points if you will solve exercise number 22, and i will give the brainliest to the person who will explain the best!!!
Answers
9514 1404 393
Answer:
C) 78,200
Step-by-step explanation:
If p represents the population in 2010, then the population in 2012 is ...
p + 0.30p = 1.30p
and the population in 2014 is ...
(1.30p) + 0.20(1.30p) = (1.30p)(1.20) = 1.56p
This is the same population as in 2015, so we have ...
1.56p = 122,000
p = 122,000/1.56 ≈ 78,200 . . . . rounded to hundreds
In 2010, the population of Maple Mall was about 78,200.
Select all equivalent expressions from the list.
8(7x-6)
•15x-6
•56x-48
•56x-6
•8•7x-8•6
Answers
Answer:
It should be 56x-48 and (8*7)x-(8*6)
Step-by-step explanation:
Given:
R, S, T are midpoints of , , and .
If the perimeter (distance around) of ABC is 20, then the perimeter of RST is
5
10
15
Answers
Answer:
10 since its half of the original
pllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer: its most likely p to the power of 6 :)
Step-by-step explanation:
Answer:
The answer for (p^3)^2 is p^6
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^
Help Me Find The Inequality of the graph
Answers
how long does it take a snail to travel 10 inches at a rate of .2 inches per minute.
Answers
Answer:
50 minutes
Step-by-step explanation:
10 / 0.2 = 50
It takes 5 minutes for the snail to travel 1 inch, multiply that by 10 and we get 50 minutes.
What is the result of the subtraction?
46 – 19=
O 23
0 27
033
0 37
Answers
Answer:
27
Step-by-step explanation:
When we take 46 and subract 19 from it, we get 27.
For verification add 27 with 19
The answer is 46
Answer:
27
Break 19 into 10 and 9. 46-10 = 36. 36-9=27.
Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
snisisbshdgsbsjsiejbebdbxhhxdyud
Step-by-step explanation:
sorryrydhehsindebbdhddhdb
Please answer these questions I will mark brainliest
Answers
2. A
3. A
i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”
8. 6 lb 5 oz - 4 lb 12 oz (There are 16 ounces in one pound.) (1 point)
2 lb 7 oz
1 lb 7 oz
1 lb 9 oz
Answers
Answer:
1 lb 9 oz.
Step-by-step explanation:
6 lb 5 oz - 4 lb 12 oz:
It's easier to do this in 2 steps:
6 lb - 4 lb 12oz
= 1 lb 4 oz
Now add 5 oz:
= 1 lb 9 oz.
I WILL MARK BRAINLIEST Charla is finding points on a number line.
Which point could represent ?
A
B
C
D
Answers
Which is the solution of set?
Answers
Answer:
the answer is x >0 hope this helped
what number when divided by nine give 12 remainder 11
Answers
Please answer and telll me why no pog explanation please
Answers
Answer: D
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A basketball uniform costs $!6 for the shirt and $13 for the shorts. If the coach needs to buy uniforms for 9 players, use the distributive property
(show work)
Answers
Answer:
$171
Step-by-step explanation:
(6+13)x9=
19x9=
171
Answer:
The answer is X=171
Step-by-step explanation:
9(6+13)=X
you use the distributive property
9x6+9x13=X
then you do
9x6 which is 54
54+9x13=X
then you do 9x13 which is 117
54+117=X
then you add it which equals 171
X=171
this is important please help I will give brainiest to people who get both
Answers
Answer:
First question is A.
Second question is C.
Step-by-step explanation:
First question is correct because non-linear graphs look just like that.
Second question is correct because 2 variables cannot equal the same thing in a function.
What is the measure of angle COD?
Answers
Answer:
45°
Step-by-step explanation:
it is 45 degrees
brainliest plzz
HELP HELP! PLEASEEEE
Answers
Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!
Answer:
-6 * 7
-8 * 8
11 * (-2)
Step-by-step explanation:
Hope this helps :D