Answers
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]
Option A is correct -
[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]
We have a sequence : –3, 9, –27, 81, . . . .
We have to find the recursive formula for this sequence.
What is the formula to find the recursive of a Geometric sequence?The formula to find the recursive of geometric sequence is -
[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]
We have the following sequence -
–3, 9, –27, 81, . . . .
First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -
[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]
Hence, it is a geometric sequence with r = -3.
Substituting the value of r in the formula of recursive, we get -
[tex]a_{n} = -3a_{n-1}[/tex] and [tex]a(1)=-3[/tex]
Hence, Option A is correct.
To solve more questions on finding the recursive of a sequence, visit the link below -
brainly.com/question/24506976
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Related Questions
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Answers
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
of (3, -2) reflected across the line x = 1 is?
Answers
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
someone please help!!
Answers
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answers
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in
Answers
Answer:
27 inches
Step-by-step explanation:
We can use The Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21.6 ^2 + 16.2^2 = c^2
466.56+262.44 = c^2
729 = c^2
Taking the square root of each side
sqrt(729) = sqrt(c^2)
27 = c
(SAT Prep) Find the value of x
Answers
Answer:
55°Step-by-step explanation:
It should be:
x - 25 = 45 - 15x = 30 + 25x = 5510.(a) Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green= 5:4:1.
48 of the T-shirts are blue.
Work out the total number of T-shirts.
Answers
Answer:
120
Step-by-step explanation:
white : blue : green
5 :4 :1
48 are blue
48/4 = 12
Multiply each by 12
white : blue : green
5*12 4*12 1*12
60 48 12
Add the numbers together to get the total
60+48+12
120
Find the value of the constant m √150 - √12m + √54 = 0
Answers
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
Someone please help me out!!!! Its a picture marking brainliest
Answers
Answer:
75.875m^2
Step-by-step explanation:
12-4=8
8x4=32
12x4=48
1/2(1.5+4)1.5=4.125
32+48-4.125=75.875
A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?
Answers
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answers
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?
Answers
Answer:
6 choose 3 = 20
Step-by-step explanation:
[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]
6 choose 3 = 20
The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school
Total number of fruits = 1+1+1+1+1+1
Total number of fruits = 6
n = 6
He wants to bring three pieces of fruit to school,
r = 3
Total combination:
= C(6, 3)
= 6!/(6-3)!3!
= 720/(6)(6)
= 720/36
= 20 combination
Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
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This...ik what mean is I'm just trying to find what the original numbers would be?
Answers
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
17.5
Explanation 17×5 is five but 2×5 is seven so 7×10 is 10
Calculate the value of x for the following equations. Show your working.
Answers
Answer:
0.86603 is the answer of the question
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Given
64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )
64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27
64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27
64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27
64 x³ = 27 ( divide both sides by 64 )
x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )
x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]
find the surface area of the cylinder and round to the nearest tenth
Answers
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
if a = 4 - √15, find a^4 +1\a^4
Hey! Please answer this question with steps. I will mark you brainliest.
Random answers like 'sdfgh' or wrong answers will be reported
Answers
Answer:
[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Step-by-step explanation:
[tex]a=4-\sqrt{15}[/tex]
[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Helpppppp pleaseeee anyoneeeee!!!!!
Answers
Answer:
Create a function representing number of published articles per month:
[tex]a=12m+60[/tex]
Where:
a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)Now substitute in the values of m to get the a-value:
m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?
Answers
Answer:
linear. Each week adds another 10 dollars.
Step-by-step explanation:
Total = 340 + 10*w
w is the weekly amount
Suppose 5 weeks pass
Then the total amount in her bank account is
Total = 340 + 10*5
Total = 340 + 50
Total = 390
The equation is Linear.
42°
Х
please help with this
Answers
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
please show work it’s for calc
Answers
Answer:
-93
Step-by-step explanation:
This is just.a matter of using a couple of integration rules and plugging in then using order of operations.
Difference rule and constant multiple rule will be used here.
3(-17)-7(6)
-51-42
-93
Answer:
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]
[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answers
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
Can u help solve this problem
Answers
Answer:
45in³
Step-by-step explanation:
6 x 5 x 3 = 90/2 = 45in³
Find tan a Picture included
Answers
Answer:
5/12
Step-by-step explanation:
We know its a right angled triangle because of phythogorean theorem,
h^2=p^2+b^2
Take angle A as reference,
13^2=12^2+5^2
or,169=144+25
169=169
Now,
We know,
Tanx=p/b
As we took angle A as reference,
p=5
b=12
h=13
Put that in tanx=p/b
We get,
tanx=p/b=5/12
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}[/tex]
Pls help me with this question ASAP
Answers
Answer:
8
Step-by-step explanation:
(3+5)^2/8=(8)^2/8=64/8=8
Answer: 8
Step-by-step explanation:
(3+5)^2/8=
(8)^2/8=
64/8=
8
999999999999999*22222222222222
Answers
Answer:
22222222222221977777777777778
Step-by-step explanation:
I hope it is clear for you. please rate brainliest
Answer: 2.22222222E+28
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
If every 1,000 views is 2 cents how much would I have if it was 100,000 views
Answers
Answer:
It's answer is 200 cents bun not sure
Find the perimeter and area , Please help me on this will give brainlist
Answers
Answer:
Area: x^2+x-6
Perimeter: 4x+2
Step-by-step explanation:
Area: multiply x+3 and x-2 and combine the like terms
Perimeter: multiply the length and width by two, then combine the like terms.
How do you find the diameter of a quarter circle?
Answers
Answer:
um 1/4
Step-by-step explanation:
During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?
Answers
Answer:
43.49
Step-by-step explanation:
let his normal hourly rate be x
16x+7x/2=848
39x/2=848
x=848 ÷ 39/2
=43.48717
I need help ASAP!!Please explain how to do the problem
Answers
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation:
