10. An arithmetic sequence has this recursive formula. What is the explicit formula?
Answer:
[tex]a_{n}=45-3n[/tex]
Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form
[tex]a_{n} =a_{1} +(n-1)d\\[/tex]
d is the common difference, can be found by:
[tex]d=a_{n}-a_{n-1}=-3[/tex]
Subtituting the [tex]a_{1}[/tex] and [tex]d[/tex]
You get:
[tex]a_{n}=42+(-3)(n-1)=45-3n[/tex]
Method 2 (Mathematical induction):
Assume it is in form [tex]a_{n}=45-3n[/tex]
Base step: [tex]a_{1} =45-3(1)=42[/tex]
Inducive hypophesis: [tex]a_{n}=45-3n[/tex]
GIven: [tex]a_{n+1} =a_{n}-3[/tex]
[tex]a_{n+1}=45-3n-3=45-3(n+1)[/tex]
Proved by mathematical induction
[tex]a_{n}=45-3n[/tex]
Simplify the expressions by combining like terms
-4f - 9 - f + 15
Answer:
-5f +6
Step-by-step explanation:
-4f - 9 - f + 15
Combine like terms
-4f -f -9 +15
-5f +6
Answer:
-5f+6
Step-by-step explanation:
as we add like terms -4f+(-f)=-5f
-9+15=6
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plz help i will give brainliest ,, if answer correctly
hey y’all i just need help with the shading part please help! if you can do this on a piece of paper or show how do it, i’ll give you a brainlest and bonus points thank you.
Four triangles are shown. Based on these triangles, which statement is true?
Answer:
First one
Step-by-step explanation:
100+30=130 That is the rule for finding w
And z=50
Answer: the first one
Step-by-step explanation:
10 + 20 + 40 + 30 +60 + 70 + 50 + 90 + 80 + 20 =
Answer:
470
Step-by-step explanation: ...
how has your last two minutes been?
7x + 9 = 58 i need all the steps
Answer:
Step-by-step explanation:
7x + 9 = 58
-9 -9 Subtract 9 from both sides
7x = 49
/7 /7 Divide both sides by 7
x = 7 (this is an apporximation)
Answer:
7
Step-by-step explanation:
1st you need to subtract 9 from both sides like this: 7x+9-9=58-9. and you'll get 7x=49. Then, divide by 7 on both sides like this: 7x/7=49/7. and you'll get x=7.
Joe wants to paint a diagonal line across a sign over the door of his office. The sign measures 8 ft. by 6 ft. How long will the diagonal line be?
Answer:
10 ft.
Step-by-step explanation:
By using the pytahgorean theorem a² + b² = c² we can determine the answer of 10 ft. If you do not know already the length and width are the a and the b so a=6 and b=8. by squaring both of these we get a=36 and b=64 (squaring is just the number times itself so 3² would be 3x3) by adding both of these squared values we get 64+36=100 which means that c²=100 so to get our final answer we just take the square root of c² which is the opposite of squaring it. So √100=10 and that is our final answer
HELP!!!
write the following in algebraic expressions:
Step-by-step explanation:
Here is the answer for the unkown n(k+m)
Answer:
n*(k+m)
Step-by-step explanation:
A grandfather clock was originally priced at $350 but went on sale for 80% off. If Elizabeth bought the grandfather clock and paid 10% sales tax, how much did she pay in total?
Answer:
105
Step-by-step explanation:
Answer:
$77
Step-by-step explanation:
80% of 350 is 280
it is $280 off so 350-280=70
then the tax, 10% of 70 which is 7
the answer is $77 because 70+7=77
Maria rolled a number cube, numbered from 1 through 6, 100 times and recorded the results in this table.
Based on the table, what is the experimental probability of rolling a 2?
a. 1/50
b. 20/100
c. 2/100
d. 20/50
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Do 20 divided 100 to find probability
Tonya bought a square piece of poster board that had an area of 144 square inches. Which is the length of one side of the poster board?
A.36 in
B.72 in
C.12 in
D.10 in
Answer:
Racincay48 avatar
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Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
Juan works for an agricultural company and is studying the growth of two different types of corn. The table above shows the growth of each type of corn in inches for each month. Compare the centers for both types of corn.
Answer:
bvghvghvgv
Step-by-step explanation:
bhjbbjuhkbhjbjhu
Can yall check my work? Please?
The Question is: A line passes through the points (9, 30) and (18, 30). Which statement is true about the line?
It has a slope of zero because the change in the y-values is 0.
It has no slope because the change in the y-values is 0.
It has a slope of zero because the change in the x-values is 0.
It has no slope because the change in the x-values is 0.
What repeated addition equals to 3/4
Good luck シ
Answer:
1/4 x 3 or 1/4+1/4+1/4
Step-by-step explanation:
1/4 + 1/4 + 1/4
2/4+1/4
3/4
Answer:
its 25
Step-by-step explanation:
if you put down 3 25's then its 75 witch is equal to 3/4
Kevin is taking a taxi from the airport to his home. There is a $6 fee for riding in the taxi. In
addition, Kevin must also pay $1 per mile.
Write an equation where m is the number of miles and t is the total cost in dollars of the
taxi ride.
A. 63°
B. 95°
C. 117°
D. 148°
Answer:
A.63
Step-by-step explanation:
add 85+32
= 117
Total for a trianlge is 180,
Subtract 180 from 117.
180-117 = 63.
Plsssssss help meeeeeee
1.
total surface area Stot = 20.4924225 cm2
lateral surface area Slat = 16.4924225 cm2
bottom surface area Sbot = 4 cm2
2.
total surface area Stot = 46.1079506 ft2
lateral surface area Slat = 37.1079506 ft2
bottom surface area Sbot = 9 ft2
3.
total surface area Stot = 95.0467761 ft2
lateral surface area Slat = 68.0067761 ft2
bottom surface area Sbot = 27.04 ft2
whats with these random people always answering with "cutlnk.ml/0tj3C" pls ♂️
i dunno why i dont click the links since they are kinda sus and also why doesn't brainly just ban the cutlink
can some one help me asap like pls hurry. and pls some one answer all
Answer:
10.) J.
11.) D.
12.) G.
13.) B.
14.) i don't know what this one is sorry
15.) i don't know
16.) H.
sorry if there not right
Step-by-step explanation:
do NOT worry about the number under the black one just worry about the top one ok
go in order of how I put them up here please and thanks whoever gives me the best answer and who answers all five gets brain list
NO LINKS UNLESS IT IS FROM A LEARNING SITE
Answer:
1. : a-2/6
is the answer
Step-by-step explanation:
help me with this problem
what is
0.96÷10 with the power of 4
Answer:
0.00008493465
Step-by-step explanation:
This is your answer.
Answer:
10 to the power of 4 equals to 10,000
so it would be 0.96 ÷ 10,000
which would be
0.000096
take what you will have a nice day <:
Please help my with this question!!! I’ll give brainlist for the correct answer
Answer:
I think its C
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
i need help asap plsss
Radius = 5 cm
Height = 8 cm
Volume = πr²h
Volume = π(5 cm)² × 8 cm
Volume = π × 25 cm² × 8 cm
Volume = 200π cm³
Please give a full explanation and answer on this
PLEASE HELP I GIVE BRAINLIEST I NEED IT ASAP
Answer:
D 13
Step-by-step explanation: L+L+W+W=Perimeter
2(1/4x)+2(2x+1)=4.5x+2
4.5x+2=29 Subtract 2
4.5x=27 Divide by 4.5
x=6 1/4(6)= 1.5 W=1.5 1.5(2)=3
2(6)+1=13 13(2)=26
26+3=29inches perimeter
Answer:
A: 12 4/9
Step-by-step explanation:
1/4x (2x + 1) = 29 (Combine like terms, NOT distributive property!!!)
2 1/4x + 1 = 29
- 1 - 1
2 1/4 / 2 1/4x = 28 / 2 1/4
x = 12 4/9
help me with this please please pleasee
Answer:
37.79924
Step-by-step explanation:
EXPERT HELP I'LL GIVE BRAINLIEST: C or D
Answer:
Step-by-step explanation:
A=(3.14d^2)/4
A=0.785d^2
A=0.785(10^2)
A=78.5 yd^2