Answers
Answer: Choice D
f(n) = 4*(3)^(n-1)
f(5) = 324
=======================================================
Explanation:
Look at the y coordinates: {4, 12, 36, 108}
This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term
4*3 = 12
12*3 = 36
36*3 = 108
The nth term of the geometric sequence is
f(n) = a*(r)^(n-1)
f(n) = 4*(3)^(n-1)
Now plug in n = 5
f(n) = 4*(3)^(n-1)
f(5) = 4*(3)^(5-1)
f(5) = 4*(3)^(4)
f(5) = 4*81
f(5) = 324
Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.
Related Questions
y= 2x² + 36x + 170
(Find the vertex, show steps)
Answers
Find the vertex of x²+18x+85
This is written of the form ax²+bx+c
a=1, b=18, c=85
The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)
So we have
h=-(18)/2
h=-9
k=f(-9) given that f(x) is x²+18x+85
(-9)²+18(-9)+85
81-162+85
-81+85
4
So your k value is 4
So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)
A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your map?
Answers
Does this represent a function?
Answers
Answer:
No.
Step-by-step explanation:
A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.
However, this graph is a conic, specifically a hyperbola.
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answers
Answer:
40
Step-by-step explanation:
Which one?
A. B. C. or D?
Answers
Which equation has a slope of 2 and a y-intercept of - 5?
X a. 2x + y = -5
b. 2x - y = 5
c.X + 2y = - 10
d. X - 2y = 10
Answers
Answer:
b. 2x - y = 5
you are able to change the equation to y = 2x -5. this is then in the form of y = mx + b.
m = slope and b = y-intercept
m = 2 and b = -5
Answer
d. x - 2y = 10
Step-by-step explanation:
The answer you chose does have the correct y intercept, but the incorrect slope, it was asking for a slope of 1/2, not a slope of -2.
REMEMBER: The y intercept is when x = 0, the x intercept is when y = 0.
To find the y intercept, substitute 0 for x, and solve for y. The slope is the coefficient of x when the coefficient of y is 1.
Just convert this standard form equation into slope intercept.
Standard Form: Ax + By = C.
Slope Intercept: y = mx + b. (m is the slope, b is the y intercept)
To convert just get y by itself completely on the left side of the equation. (y has to have a coefficient of positive 1)
x - 2y = 10
-x -x
-2y = -x + 10
÷2 ÷2 ÷2
-y = -1/2x + 5
×-1 ×-1 ×-1
y = 1/2x - 5 → y = mx + b
m = 1/2, and b = -5
42 - 4 < 8 AND 9x + 5 > 23 Solve for x
Answers
Answer:
x>2
Step-by-step explanation:
9x+5>23
9x>23-5
when the five grosses the inequality sign it changes to a negative since it was initially a positive
9x>18
[tex] \frac{9x}{9} > \frac{18}{9} [/tex]
x>2
expand and simplify 3(3x-4)-2(2x-1)
Answers
Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answers
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Last week, Shelly tode her bike a total of 30 miles over a three-day period.
On the second day, she rode the distance she rode on the first day.
On the third day, she rode the distance she rode on the second day.
rts
How many miles did Shelly ride on each day? Select your answers from the drop-down lists.
On the first day, Shelly rode
miles.
On the second day, Shelly rode
miles.
ols
On the third day, Shelly rode
miles.m
Answers
Answer:
Step-by-step explanation:
ON THE FIRST DAY, SHELLY RODE 12 MILES
Is (1,1) a solution to this system of inequalities
Answers
Explanation: It doesn’t work
a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min
Answers
Answer:
estimated number of pages it can print will 80 in 1 min.
Step-by-step explanation:
If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.
we get
12/9 then multiply by 60 you will get 80 pages in 1 minute.
Number of pages a printer can print in 9 seconds = 12 pages
Number of pages than can be printed in 1 second =
= 12/9
= 1.3 pages
Number of pages that can be printed in 1 second = 0.75 page
Number of pages that can be printed in 1 minute =
= 1 minute = 60 seconds
Number of pages that can be printed in 60 seconds =
= 1.3 × 60
= 78 pages
Rounding off 78 , we get 80 .
Therefore , 80 pages can be printed in 1 minute .
WILL GIVE 100 POINTS AFTER YOU ANSWER
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
20
17
19
16
Answers
Answer:
b
Step-by-step explanation:
Which equation shows a proportional relationship between x and y?
Answers
Answer: y = 4x
Step-by-step explanation:
A proportional relationship is function that is a means of ratio.
Say, x equals 12, then y would equal 48. Or x = 5, then y = 20. Etc
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answers
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
PLEASE HELP THERE ARE TWO PARTS!!
The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I
Answers
Answer:
The constant of proportionality of the graph is 0.75
Step-by-step explanation:
The coordinates of the points on the lines are;
(400, 300), (250, 187.5), and (120, 90)
Which can be written in a tabular form as follows;
Number of US dollars [tex]{}[/tex] Number of euros
120 [tex]{}[/tex] 90
250 [tex]{}[/tex] 187.5
400 [tex]{}[/tex] 300
Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c
Where;
c = The y-intercept (where the graph meets the y-axis) = 0
m = The slope = The constant of proportionality
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]
We have, y = m·x = 0.75·x.
Therefore, the constant of proportionality of the graph = 0.75.
solve the equation x²+11=36
Answers
Answer:
x=5
Step-by-step explanation:
Equation:
x^2 + 11=36
1.Subtract 11 on both sides
x^2 = 25
2. Square root 25
x=5
What's the value of
z? - 3x + 1
when x = -2 and y = 42
Answers
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
On Saturday, Kim's softball team will be having a family picnic. Hamburger patties
are sold at the local store with 12 patties in a package. Hamburger buns, however,
are only sold in packages of 9 hamburger buns. Kim's team wants to buy the exact
same number of packages for patties and buns
What is the least number of packages of patties and hamburger buns that Kim's
team should buy to have exactly the same number of patties as hamburger buns? If a
package of hamburger patties cost $4.98 and a package of hamburger buns cost
$2.16, what was the total expense?
Answers
Answer:
See below
Step-by-step explanation:
The patties (3 packs)
12x3= 36
The buns (4 packs)
9x4= 36
cost:
3x$4.98= $14.94
4x$2.16= $8.64
Add them to equal the total cost
= $ 23.58
£1=$1.62
£650 in dollars
$405 in Pounds
Answers
605 pounds is 840.25 dollars
405 dollars is 313.30 pounds
Answer:
£650= 840.25$
$405= 313.30£
Step-by-step explanation:
How is online school going so far?
Answers
21st term: 3, 8, 13, 18 ?
Answers
Answer: 108
Step-by-step explanation:
PLEASE HELP I DONT KNOW HOW TO DO THIS AND ITS DUE IN 30 MINUTEs
Answers
Answer: Can you include a picture please.
Step-by-step explanation:
a rectangular sheet of paper is 5 2/3cm long and 3 1/5cm wide. find its perimeter
Answers
Answer:
85/15+48/15=133/15 ×2=266/15 cm
=17 11/15 cm
Step-by-step explanation:
Find the slope of the table
Answers
Answer:
The slope should be -5/8
Step-by-step explanation:
The equation used to find the slope using a table is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
To get the values, take two points from the table. For example:
(8, -5) and (16, -10)
Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.
Quien quiere ser mi amigo o amiga? Manden soli si quieren XD
Answers
si me gustaria ser tu amiga :)
What is the equation of the line that passes through the points (-4, 2) and (12,6)?
Answers
Answer:
y=0.25x+3
Step-by-step explanation:
how do i graph 2x+4y=12
Answers
Answer:
(0,3) (6,0)
Step-by-step explanation:
Find the mistake made in the steps to solve the equation below
Answers
Answer:
C. Step 3 is incorrect and should be x=10/8
Answer:
c. step 3 is incorrect and should be x=10/8
if you place a 37 foot ladder against the top of a 12 foot building, how many felt will the bottom of the ladder be from the bottom of the building
Answers
Answer:
Would it be 25 that’s what I got
Step-by-step explanation: