Answer:
aₙ = 3n + 9Step-by-step explanation:
[tex]a_1=12\\a_2=15\\\\d=a_2-a_1=15-12=3\\\\a_n=a_1+d(n-1)\\\\a_n=12+3(n-1)\\a_n=12+3n-3\\a_n=3n+9[/tex]
Equation of the nth term of the given arithmetic sequence is equals to
aₙ = 3n +9.
What is arithmetic sequence?
" Arithmetic sequence is a sequence in which difference between two consecutive terms remain constant. "
Formula used
nth term in Arithmetic sequence
aₙ = a₁ + (n -1)d
Where
aₙ=nth term of the sequence
a₁ = first term of the sequence
n = number of terms
d = common difference
According to the question,
Given arithmetic sequence is
12, 15, 18, 21, ......
a₁ = 12
d = 15 - 12
= 3
Substitute the values in the formula of nth term we have,
aₙ = 12 + (n - 1) 3
⇒ aₙ= 12 + 3n -3
⇒ aₙ= 3n +9
Hence, equation of the nth term of the given arithmetic sequence is equals to aₙ = 3n +9.
Learn more about arithmetic sequence here
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Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?
–2
Negative one-half
One-half
2
Answer:
maybe -2.
Step-by-step explanation:
maybe I guess
simplify the expression
–2 + 7(x + 8)
Answer:
54+7x
Step-by-step explanation:
-2+7(x+8)
-2+7x+56
54+7x
Answer:
-2 + 7(x + 8)
open the bracket
-2 + 7x + 56=
-2 + 56 + 7x =
54 + 7x
Find the distance between the following two points: *
(0,0) and (-4,-4)
Answer:
[tex]d = 4\sqrt{2}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-4-0)^2+(-4-0)^2}[/tex]
[tex]d = \sqrt{(-4)^2+(-4)^2}[/tex]
[tex]d = \sqrt{16+16}[/tex]
[tex]d = \sqrt{32}[/tex]
[tex]d = 4\sqrt{2}[/tex]
FINISH THE SENTANCE!!! woah calm down Jamal....
Answer:
Don't pull out the 9 haha ha
Step-by-step explanation:
pe pe
Answer: it’s just a game.
Step-by-step explanation: Other Possible Responses: tell me why you‘re so upset. why are you so angry?
7x - 2(3x + 16) = -23
27=3w+6
Simplify your answer as much as possible
Anyones help is needed real quick
Answer:
6
Step-by-step explanation:
7th grade math help me plz
Answer:
between 2 an 3
Step-by-step explanation:
Solve the equation. Round the solution to the tenths place.
6.35t = 56.515
t =
Answer: 8.9
Step-by-step explanation:
can someone helpe me PLEASEEE??????
Slope is 3/7.
Rise / run.
Rises 3 / runs 7.
Line is positive because the line goes up from left to right.
If this helped please mark branliest
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02:58
Determine the amount of an investment if AED 300 is invested
at a rate of 3.5% interest compounded monthly for 22 years.
A. 319.85 AED
B. 647.20 AED
C. 639.45 AED
Answer:
C. 639.45 AED
Step-by-step explanation:
Principal = AED 300
Compound interest = 3.5%
Unknown:
Amount of the investment after 22yrs = ?
Solution:
Compound interest is simply interest on interest.
The formula is given as;
A = P(1 + [tex]\frac{r}{n})^{nt}[/tex]
where A is the final amount
P = initial principal
r = interest rate
n = number of years
Input the parameters and solve;
A = 300 (1 + [tex]\frac{0.035}{1} )^{22 x 1}[/tex]
A = 639.45
So the amount of investmet is AED 639.45
what is 30 1/3% of 3
Step-by-step explanation:
30 1/3 = 91/3
3 × 91/3% = 91/100 (0.91)
(3-0.91=2.09) < I dunno if you need to subtract it tho^^
when you do 15 * 24 how can you get the answer of 220 even though it is the wrong answer????????????
Answer:
The answer is actually 360. I hope this helped you a bit have a good day.
15*24=360
Mrs. Wheeler went to Disney World after saving $1,200. She spent $509.00 for a 5 day ticket. Then, she spent $34.99 for Mickey ears, $72 for a Minnie backpack, and $350 in food over the 5 days. How much does she have left?
Answer:
234.01
Step-by-step explanation:
add all those together then subtract for total
MARK ME AS BRAINLIEST
I need answers as soon as possible please by
Answer:
Sorry need to do some thing else brb
Step-by-step explanation:
congruent angles (picture below) please help ty
Bills paid online on the weekend are seen til the next business day - yes or no
Answer:
yes, bills paid online over the weekend would not be seen until the next business day, usually Monday.
I need some help this math problem
Answer: i think it is 2/7
Step-by-step explanation:
Write an expression for the following: "the product of 3 and the sum of a number and 2
|
Answer:
3(2 + x)
Step-by-step explanation:
You have to multiply 3 by the sum of 2 and any number, or x. So if you put the expression of 2 + x in parenthesis, and 3 next to it. You'll get your answer.
What is the midpoint of -1.9 and 5.1 on a number line??!
Answer:
Add them and divide by 2. 5.1 + -1.9= 5.1 - 1.9, which is 3.2. 3.2 divided by 2 is 1.6. That is their midpoint on the number line(I can't plot it).
Jane has $30 and is saving at the rate of 57 per week. Susan has $50 and is saving at the rate of $3 per week.
When will they have the same amount of money?
Joseph is making kebabs. He wants each kebab to have 333 pieces of meat and 444 pieces of vegetables.
Which of the following could Joseph use to make kebabs without any leftovers?
Choose 2 answers:
Group of answer choices
2 pieces of meat and 2 pieces of vegetables
3 pieces of meat and 4 pieces of vegetables
6 pieces of meat and 8 vegetables
5 pieces of meat and 5 pieces of vegetables
4 pieces of meat and 1 piece of vegetables
Answer:
3 pieces of meat and 4 pieces of vegetables
Step-by-step explanation:
its basicly a ratio the meat is 1 lower than the vegetables.
Write the number in scientific notation. 45100
Answer:
scientific notation:
4.51 × 104
or
4.51x10^4
scientific notation with e:
4.51e4
Step-by-step explanation:
When you write scientific notation of 45100/45.1 thousand, you need to find How do you write 45100/45.1 thousand in scientific notation.
. The 45100 should be written.
Answer:
4.51 * 10^4
Step-by-step explanation:
4.51 * 10^4 = 45100
All you gotta do is move the decimal to the left until you have a number between 1-10. And how ever many spaces you jumped that's the exponent you put on the 10.
Example, 467500
I would jump 5 places to get 4.675
Since I jumped 5 places that's my exponent
4.675 * 10^5
HOpe this helps!!!
At 5:00 pm Antonio turned off the oven
Answer:
Or did he?
Step-by-step explanation:
Solve the compound inequality.
-2x<-2 and x-2<8
Answer:
x > 1, x < 10
Step-by-step explanation:
Part 1:
-2x < -2
Simplify (divide by -2)
x > 1-------------
Part 2:
x - 2 < 8
Simplify (add 2 to both sides)
x < 10
While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 1.5°. After you drive 23 miles closer to the mountain, the angle of elevation is 13°. Approximate the height of the mountain.
Answer:
0.68 miles
Step-by-step explanation:
Let's say that the height of the mountain is h
The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)
tan(1.5°) = opposite/adjacent = h/23 + a
=> h = (23 + a)tan(1.5°) ---- (1)
tan(13°) = h/a
=> h = a(tan(13°)) ---- (2)
Now since h is common among the two equations, we can equate them;
[tex]\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\[/tex]
[tex]a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...[/tex]
[tex]h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots[/tex]
The height of the mountain ≈ 0.68 miles
Who is truly worthy of Brainliest? Answer this \/\/\/\/
Answer:
Intercepts are the points where a graph touches the axes. The X-intercept is that point on the X-axis, and the Y-intercept that point on the Y-axis. In the graph on the left, the X-intercept is (4,0), and the Y-intercept is (0,2)
Please help! Brainiest
Answer:
x=1
Step-by-step explanation:
x=1 then y=4
Answer:
the answer is to because the other arrow is on the 2
Step-by-step explanation:
2+2=4
If Rosa buys 2 drinks for 4.78 how much would she pay if she bought 4 drinks.
Answer:
9.56
Step-by-step explanation:
4.78x2 so then your answer would be 9.56
(HELP ASAP,WILL MARK BRAINLIEST!!)
Choose the correct equation for this line.
a
y=1/3 x-2
b
y=1/3 x+2
c
y=3x -2
d
y=3x +6