Answers
Answer:
Option (2)
Step-by-step explanation:
Given sequence is,
8, 24, 72, 216........
1st term of the sequence 'a' = 8
Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]
There is a common ratio of 'r' = 3 in each successive and previous term.
Therefore, it's a geometric sequence.
Since, nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Therefore, function representing the geometric sequence is,
f(n) = [tex]f(n)=8(3)^{n-1}[/tex]
Option (2) is the answer.
Related Questions
please help!! i need someone to write me an equation for this please!
Answers
circle two digits that should be switched places to make this sequence correct.
3/7>0.45>43%
Answers
Answer:
all of them need to be switched
Explanation:
0.45>43%>3/7
Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?
Answers
Answer:
The original amount was: P = $800
Step-by-step explanation:
Given
Interest I = $22.40
Interest rate = r = 2.8% = 0.028
time t = 1 year
Using the interest formula
I = Prt
I = InterestP = Principle or initial valuer = interest rate t = time (years)substituting the values
I = Prt
22.40 = P (0.028) (1) ∵ I = 22.40, r = 2.8% = 0.028, t = 1
P = 22.40 / 0.028
P = $800
Therefore, the original amount was: P = $800
it's D (800.00)
HAVE A NICE DAY
Solve for g .
g + (-5) = 27
g =
Answers
g -5 + 5 = 27 + 5
g = 32
Final Answer: [tex]g = 32[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?
Step 1: Remove parentheses.
[tex]g + -5 = 27[/tex]
Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].
[tex]g - 5 = 27[/tex]
Step 3: Add [tex]5[/tex] to both sides.
[tex]g = 27 + 5[/tex]
Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].
[tex]g = 32[/tex]
~I hope I helped you :)~
Find the difference.
(-29+7) – (9+11) = 0
Answers
Answer:
Step-by-step explanation:
lets remove the parenthesis
-29+7-9-11=-42
Answer:
-42
Step-by-step explanation:
(-29+7)= -22
(9+11) = 20
-22-20= -42
Find the perimeter of a rectangle whose length is 4√5 and width is 3√7
Answers
Answer:
if you don't have a calculator you can just put the number under the radical like this
Step-by-step explanation:
4 * 3 * [tex]\sqrt{5 * 7}[/tex]
12[tex]\sqrt{35}[/tex]
this answer might be what a teacher is looking for.. b/c it's exact but... if you were needing to do real work.. you'll just need a close approximation, then
12* 5.916....
70.99 is a close approximation
HELP ME I NEED HELP WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answers
Answer:
The answer is -70
Step-by-step explanation:
How I got the answer.....
-21-49 = -70
Hope this helps! :)
Which value is equivalent to the expression 4^5
Answers
Answer:
20
Step-by-step explanation:
Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.
A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.
Answers
Answer:
D. Yes, because f(x) = g(x) when x = 2.Step-by-step explanation:
Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2
-7/5x +4/5= x- 4
If x = 2
f(2) = -7/5 (2)+ 4/5
f(2) = -14/5 + 4/5
f(2) = -10/5
f(2) = -2
g(x) = x - 4
g(2) = 2-4
g(2) = -2
Since f(2) = g(2), hence the lines intersects at x = 2
Answer: abidemiokin is ritgh
Step-by-step explanation:
Please help if possible due today thank you so so much!!
10points!❤️❤️❤️
A teacher asked her students how many pets they own. Here are the results:
Answers
The answer would be B. In the sequence;
0,0,1,1,1,1,2,2,2,3,4,4,8
Zero is mentioned twice, and if you take a glance at the other plots, they all have 3 dots above them, whereas answer choice B has 2 which is what we’re looking for.
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place
Answers
Answer: V = 311.0
Step-by-step explanation:
Formula: [tex]V = \pi r^2h[/tex]
[tex]V=\pi (3)^2 (11)[/tex]
[tex]V=99\pi[/tex]
V = 311.02
V = 311.0
Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answers
6*7=42 and
6*15=90
Answer:
B
Step-by-step explanation:
42 + 90 = 132 > 6(7+15) > 6*22=132 > 6(7 + 15)= 132
Help me out here pleaseeeeee
Answers
Answer:
C
Step-by-step explanation:
Maggie goes to a clothing store to shop for t-shirts. The store is having a sale on t-shirts for 25% off each shirt. She purchases 5 t-shirts that were regularly priced at $22. What was the total the store charged her with the discount, but before tax?
Answers
Because 22-5% x 5 is 109.75
Answer:
A
Step-by-step explanation:
please help me im very behind
Answers
Answer:
I think its d. a13=23
Plz correct me If I am wrong
Step-by-step explanation:
Solve for x. Triangles below are similar.
a) 13
b) 10
c) 4
d) 3
Answers
Answer:
the answer is 4 (option C)
Step-by-step explanation:
Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.
therefore, the equation forms:
13x + 3 = 55
13x = 55 - 3
13x = 52
x = 52/13
x = 4
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Answers
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
korinn fills 1/6 of a water bottle in 1/4 of a minute. how much time, in minutes, does it take her to fill the bottle
Answers
Answer:
1.5 minutes to fill a whole bottle.
Step-by-step explanation:
1. Based on the given information, set up a proportion;
Given;
1/6 of a bottle was filled in 1/4 minute
Equation;
1/6 : 1/4
2. Solve the equation;
1/6 : 1/4
Multiply both sides by 6, to make it such that the whole bottle is filled,
1/6 : 1/4
*6 *6
1 : 6/4
Simplify
1 : 3/2
1.5 minutes to fill a whole bottle.
Which of the following polnts is a solution of the Inequality y<-|x|?
(1,0)
(1,-2)
(1,-1)
Answers
Answer:
(1,-2)
Step-by-step explanation:
x = 1, y= -2
by sub.
-2<-1 so it's true
Which of the following expressions is equal to -3x^2-12?
Answers
Answer:
The answer is (-3X+6i)(x+2i)
Step-by-step explanation:
You can do this by plugging in the answers in the equations and get that (-3x+6i)(x+2i) equals the following expression.
(WILL GIVE BRAINLIEST, TIMED) - Suppose z = cos(2pi/3)+isin(2pi/3) . What is z^4?
Answers
Answer:
B
Step-by-step explanation:
edge
Answer:
B. 1cos(8pi/3) + i sin(8pi/3)
Step-by-step explanation:
neeeeddd helppp asap
Answers
The easy way to do it is Just divide 360 from 5 because that’s the amount of times you turn it ...
Is this a function or not a function
Answers
Answer:
It is a function
Step-by-step explanation:
A function states that you must have one output every one input and this is done but with the same output.
Which of the following is closest to 1?
9/8
11/10
10/9
4/5
6/7
Answers
A members only speaker series allows people to join for $17 and then pay $1 for every event attended. What is the maximum number of events someone can attend for a total cost of $98?
____events
Answers
Answer:
82
Step-by-step explanation:
98-17=81+1=82
The graph of function g is a parabola with the vertex located at (5,9). The parabola also passes through the point (3, 1). Which of the following is an
equation in vertex form for this function?
Answers
I just did this the answer is C. g(x) = –2(x – 5)2 + 9
The required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Important information:
Vertex of parabola is at (5,9).Parabola passes through the point (3,1).We need to find the equation in vertex form for the function g.
Parabola:The vertex form of a parabola is:
[tex]g(x)=a(x-h)^2+k[/tex] ...(i)
Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.
Substitute [tex]h=5,k=9[/tex] in (i).
[tex]g(x)=a(x-5)^2+9[/tex] ...(ii)
Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).
[tex]1=a(3-5)^2+9[/tex]
[tex]1-9=a(-2)^2[/tex]
[tex]-8=4a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (ii).
[tex]g(x)=-2(x-5)^2+9[/tex]
Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Find out more about 'parabola' here:
https://brainly.com/question/15165354
For a Biology assignment, Lisa collected data on plant growth of a sunflower every week for 9 weeks. When Lisa first planted the sunflower, it was 10 centimeters tall. The time (in weeks) is plotted against the height (in centimeters) as shown below. Using the best-fit line, approximately how tall was the sunflower plant during the fifth week? 33 centimeters 34 centimeters 35 centimeters 30 centimeters
Answers
Answer:
I think it was 34 cm because it should be not too long
Step-by-step explanation:
this is from my logic perspective
Equivalent expressions
Which expressions are equivalent to 4(4a + 5) ?
Choose 3 answers:
16a + 5
16a + 20
12a + 20 + 4a
© 2(8a + 10)
© 16a +5+4
Answers
Answer:
16a + 20
12a + 20 + 4a
2(8a+10)
Step-by-step explanation:
SECTION 2-4
Convert hex number 743
to its decimal equivalent.
Answers
743₁₆ = 7 • 16² + 4 • 16¹ + 3 • 16⁰
743₁₆ = 1792 + 64 + 3
743₁₆ = 1859
You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.
Answers
Answer:
Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.
Step-by-step explanation:
Hope this helps!!!
Answer:
For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.
For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).
Step-by-step explanation: