Answer:
The 9th term of the sequence is:
[tex]a_9=\frac{65536}{6561}[/tex]Step-by-step explanation:
Given the sequence
1, 4/3,16/9
computing the ratios of all the adjacent terms
[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]r=\frac{4}{3}[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
As
[tex]a_1=1[/tex][tex]r=\frac{4}{3}[/tex]so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]
Now, substitute n = 9 to determine the 9th term
[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]
[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]
[tex]a_9=\frac{4^8}{3^8}[/tex]
[tex]a_9=\frac{65536}{6561}[/tex]
Therefore, the 9th term of the sequence is:
[tex]a_9=\frac{65536}{6561}[/tex]what is the y intercept of the line given by the equation below
y=-10x+14
Answer:
(0, 14) is the y-intercept
Answer:
14 is the y-intercept
Step-by-step explanation:
10 would be the slope so that leaves 14 which is the y intercept
The total cost of the raffle tickets is proportional to the number of tickets bought. Sam can buy 5 raffle tickets for $4. What is the cost per ticket?
Answer:
.8
Step-by-step explanation:
4/5=.8
pls help I cant figure it out i give 10 points for both
Answer: the top question is 5 and the bottom question is 6
Step-by-step explanation: you do 4 times what equals 48 then u divide that by 60
help asap will mark brainliest
Answer:
The first is not
Your friend has s pennies. You have 11 pennies. You and your friend have a total big 23 pennies. Which equation can you use to find s?
A.) s + 11 = 23
B.) 11s = 23
C.) s - 11 = 23
D.) s divided by 11 = 23
If correct I will mark brainlist ❤️
Answer:
A.
Step-by-step explanation:
The answer would be a because if you have s + 11 you will get 23
but if you were to find s it would be 12
(PLEASE HELP ME FAST! )
What missing number
makes the following equation true for any value of n?
2(5n - []= 4(3n – 5) - 2n
A. 20
B. 10
C. 5
D. 2
Answer:
2(5n - []= 4(3n – 5) - 2n.
Step-by-step explanation:
A20
bc + 5a = help pls!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is -72-41
Step-by-step explanation:
On the playground, 1/4 of the students are on the jungle gym, and 1/3 f the students are playing kickball. What part of all the students on the playground is on the jungle gym or playing kickball?
Answer:
7/12 of the students
Step-by-step explanation:
So first you would need to get your fractions to have the same denominator. When your trying to get your fractions to get the same denominato. You must multiply both the numerator and denominator.
The most common denominator from 1/4 and 1/3 is 12. So you multiply both the numerator and denominator of 1/4 by 3. So then your new fraction is 3/12. Now you multiply 1/3, both numerator and your denominator by 4. Then your new fraction is 4/12. So The last step is to add both of your numerators. Never add the denominators together. And at last you have your answer. 7/12.
(Hope this helps! Brainliest?)
Water along the Mississippi River is rising at a rate of 24.8 cm/hr. The top of a dock in the river currently sits only 1.2 meters above the water. How many hours will it take the water to reach the top of the dock
Answer:
4.84*10^-4hoursStep-by-step explanation:
Speed = Distance/Time
Time = Distance/Speed
Given
Distance = 1.2m = 0.012cm
Speed = 24.8cm/hr
Get the time;
Time = 0.012/24.8
Time = 4.84*10^-4hours
Hence it will take the water 4.84*10^-4hours to reach the top of the dock
Solve for x. y +X=b Help!
9514 1404 393
Answer:
x = b - y
Step-by-step explanation:
To get x by itself, subtract y from both sides.
y + x = b . . . . . . . . . given
y - y + x = b - y . . . . subtract y
x = b - y . . . . . . . . . simplify
Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?
Answer: Piper will have $3750
Step-by-step explanation:
In this situation we will represent the total amount she have in the bank by y and the number of weeks by x
The whole situation can be represented by the the equation
y = 1400 + 50x where y is the total amount , 1400 is the initial amount Piper deposited , 50 is of course the amount Piper will deposit each week , and x is the number of weeks.
Now since they are looking for the amount Piper will have in his account, you have to input 47 for x and solve for y.
y = 1400 + 50(47)
y = 1400 + 2350
y = 3750
Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.
The functions g and h are such that g(x)=2x+5 and h(x)=ax+b
the answer is : a=9 and b=-1
helppp ill mark u as brain list
Answer:
It is hard to see the picture, but I think it is 6.
Step-by-step explanation:
What’s the GCF OF 48 and 30??
Answer:
GCF OF 49 AND 30 IS 6
Step-by-step explanation:
greatest common factor
what is 908 divided bye 78 = bank
Answer:
454/39 simplified is 11 25/39
Step-by-step explanation:
Answer:
= 11
Step-by-step explanation:
908/78 =11.64102564 - sorry if im rong but hope it helps
(>-<)
PLEASE HELP MEEE
I don’t under this at all
I don’t need to show my work but I just need the answer or help
Answer:i think 1
Step-by-step explanation:
Answer:
2x+4=5
Step-by-step explanation:
there are two positive x boxes do 2x 4 positive boxes so +4 and 5 positive boxes.
What is Becca’s speed in miles per hour?
Answer:
1.5 OR 1 1/2
Step-by-step explanation:
Convert the fractions into decimals.
9/10 = 0.9
3/5 = 6/10 = 0.6
Divide the decimals.
0.9/0.6 = 1.5
Convert back to fraction.
1.5 = 1 1/2
Convert 4 yards to inches.
Answer:
144 inches is the answer
Answer:
4 yard = 144 inches
Step-by-step explanation:
as 1 yard = 36 inches
plz follow me
What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1)?
Answer:
y=4/5x+-11/5
Step-by-step explanation:
might no be but im sleepy so
Answer:
y=4/5x−11/5
Step-by-step explanation:
Just took the test
i need help anyone know
Answer:
yes ur correct its nonlinear lol
Step-by-step explanation:
What is the solution of the inequality |2x+3|≤7?
The required solution in interval notation is [−5,2].
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Set of such values is called solution set to the considered equation or inequality.
Assuming we want to solve for x the result can vary.
We are given to find the solution to the following compound inequality in interval notation.
Inequality Form:
−5 ≤ x ≤ 2
Thus, the required solution in interval notation is [−5,2].
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ2
A donut shop has fixed costs of $32 per V day, and $2 per muffin sold. This formula can be represented by y = 2x + 32 , where x is the number of muffins sold, and y is the cost per day. Write this relationship in functional notation, as a function C(m) , where C(m) represents the cost for m muffins sold. Select the ordered pair that would represent this function C, given m. (32, (2)) 32 (m, 2m + 32) (2m + 32, m) (c(m), m)
Penny is 100 centimeters tall. Jeremy is 38 inches tall. Who is taller
Answer:
Penny is taller than Jeremy.
Step-by-step explanation:
1 inch=2.54 cm
? = height of Jeremy
Make proportion:
1 - 2.54
38 - ?
?= 38*2.54 ÷ 1
?= 96.52
Jeremy is 96.52 inches
96.52<100
So far, Phillip has completed 3/4 of his run. If he has run 9 miles, how far does he plan to run
Answer:
He has to run a total of 12 miles and has 3 more miles to run
Step-by-step explanation:
Well we know that 3/4 is 9 out of the total miles he is willing to run. We can divide 9 by 3 to get 1
Now we know 1/4 of his run is 3 miles
3*4= 12
He has to run a total of 12 miles and has 3 more miles to run
Answer:
He plans to run 12 miles
Step-by-step explanation:
He plans to run 12 miles because if he ran 9 miles so far and that is 3/4 of his way then you would do 3 divided by 9 to get 3. Then you would add a 3 to nine because that 3 would be the last quarter t complete his run.
What is the x-coordinate of point B? Write a decimal coordinate.
Answer:
-1.5
Step-by-step explanation:
Hope this helps! :D
Need help with number 7 plzzz and just zoom in if u can’t see and I’ll love u forever
Answer:
Good luck
Step-by-step explanation:
Convert the following equation to Slope-Intercept Form
HINT: Slope-Intercept Form is y = mx + b
y-8= 3(x + 5)
Answer:
y = 3x + 23
Step-by-step explanation:
Given the equation :
y - 8 = 3(x + 5)
We are to convert the equation to slope - intercept form:
Recall: general form of a slope - intercept model:
y = mx + c
Hence,
y - 8 = 3x + 15
y = 3x + 15 + 8
y = 3x + 23
Comparing :
y = mx + c
y = 3x + 23
- 3c ( 4x - 2y ) PLESE HELP ASAP I WILL GIVE 5 STARS AND BRAINLIEST
Answer:
-12cx + 6cy
Step-by-step explanation:
-3c x 4x = -12cx
-3c x -2y = 6cy this is because when you multiply 2 negatives, it becomes a positive
Final Answer: -12cx + 6cy
What do I put as the answer ?
Answer:
33
Step-by-step explanation:
a right angle is 90 degress since the other side is 57 than ac must be 33