Answers
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, [tex]\frac{16}{5}[/tex]..........
Ratio of 2nd and 1st term of the sequence = [tex]\frac{4}{5}[/tex]
Ratio of 3rd and 2nd term of the sequence = [tex]\frac{\frac{16}{5} }{4}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = [tex]\frac{4}{5}[/tex]
First term of the sequence 'a' = 5
nth term of a geometric sequence = [tex]a(r)^n[/tex]
Therefore, nth term of the given term will be [tex]T_n=5(\frac{4}{5})^n[/tex]
Now we have to find the 10 term of the given sequence.
For n = 10,
[tex]T_{10}=5(\frac{4}{5})^{10}[/tex]
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
Related Questions
5 of 5
Sushil, Alex and Peter share some sweets in
the ratio 4:2:3. Sushil gets 8 more sweets than
Peter. How many sweets does Alex get?
Check
Answers
9514 1404 393
Answer:
16
Step-by-step explanation:
If we multiply the numbers by 8, the difference between the first (Sushil) and last (Peter) will be 8.
4 : 2 : 3 = 32 : 16 : 24
This tells us Alex gets 16 sweets.
*4. What is (2.0 x 10-1)3 in
scientific notation?
A 2.0 x 10 -3
1
B 2.0 X 1/10 3
C 8.0 X 1/103
D 8.0 x 10 -3
Answers
Answer:
D
Step-by-step explanation:
The line of best fit for a scatterplot is shown what is the equation of this line of best fit in slope intercept form?
(pic provided)
1. y=-6x+3/4
2.y=6x+3/4
3. y=-3/4x+6
4. y=3/4x+6
Answers
Answer:
3. y=-3/4+6
Step-by-step explanation:
The y-int is 6, so you can already cross out the first two answers. Then, you know the slope is negative because the line is going downward, so -3/4 has to be the slope bc it is negative.
Answer:
y=-3/4x+6
Step-by-step explanation:
the y/intercept is (0,6) because that is the point where the line crosses the y-axis
knowing that use the point (0,6) and (4,3) to find the slope use rise over run so it goes up 3 and right 4
using the slope intercept equation y=mx+b it is y= -3/4+6
it is negative because its going downward
hope this makes sense and helps you guys!
Find an expression, in it's simplest form, for the perimeter of this hexagon.
Answers
Answer:20
Step-by-step explanation:
2(5x-9) = 11x-3 find m
Answers
Answer:
129 degrees
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The measure of angle PST 129 degrees after applying the properties of the triangle.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is given that:
The triangle is shown in the picture.
The equation can be made:
5x - 9 = (180 - (11x - 3))
5x + 11x = 180 + 3 + 9
16x = 192
x = 192/16 = 12
The measure of angle PST = 11x - 3
= 11(12) - 3
= 129 degrees
Thus, the measure of angle PST is 129 degrees after applying the properties of the triangle.
Learn more about the triangle here:
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Simplify:
4
(1934)
O
A.
Xy3216
B.
x93,8
O c. x7,12,16
D.
2778
Answers
I WILL GOVE BRAINLIEST!!!
Answers
Answer:
First of all make me as branlist answer then I will surely send it
plz answer only if correct :))
(this is trig.ratios) in
Answers
Answer:
39
Step-by-step explanation:
Since you want to find the variable x all you have to do is simple subtraction.
The two numbers (61 and 22). Subtract those numbers and you get 39. Now it wants you to round to the jearest hundredth but there is no hundreds place so we can round to the nearest tenth. Which would be 30! Hope it helped... :)!
bye
The perimeter of a rectangular meadow is 1004 m. What
will be the sum of the length and breadth of the meadow ?
Answers
Answer:
hope it works for u
Step-by-step explanation:
Given the length of the rectangle = l
the breadth of the rectangle = b
perimeter of the rectangle = sum of length of all sides of the rectangle
= l+ b+ l+ b
=2 l+2 b
=2( l+ b)
∴ perimeter of the rectangle =2( l+ b)
as given perimeter = 1004 m
hence ,
2(l+ b)= 1004
(l+ b)=1004/2 = 502 m
l+ b=502 mfirst three terms of a sequence are given. Round to the nearest thousand (if necessary) 152,149,146... Find the 30th term
Answers
Answer:
65
Step-by-step explanation:
use the following equation
aₙ=a₁+(n-1)d
Where d is the common difference
n is the term
a₁ is the first term
the common difference is -3 (149-152)
this means we have
152+(30-1)*-3
Compute this and get
65
So far, Phillip has completed 3/4 of his run. If he has run 9 miles, how far does he plan to run
Answers
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.
Can someone tell me a good definition for “Annuity” please?
Answers
Answer:
an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)
Step-by-step explanation:
Answer:
An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.
Step-by-step explanation:
Can someone help me !!!
Answers
Answer: 35, 63
Step-by-step explanation: sorry if wrong
Charles has 82 stamps altogether. He has 24 more local stamps than foreign stamps.
How many local stamps does he have?
Answers
Answer:
82-24=48
Step-by-step explanation:
the taxi fare in a city is as follows: for the first kilometre, the fare is rupee 8 and for the subsequent distance it is rupee 5 per km. taking the distance covered as x km and total fare as rupee y, write a linear equation for this information, and draw its graph
Answers
Answer:
The linear equation is Y=5x+8 where x>0
(you can input this into the Desmos graphing calculator to see the graph if you like!)
Step-by-step explanation:
To get the answer is fairly straight forward. If we know that distance covered is x in the equation and we know that a linear equation follows the template Y=mX+b where m is slope and b is the y-intercept. The first step is to fill in what we know. That would look as such Y=_X+_. We can then attempt to fill in the blanks for m and b. Because we know that it is 5 rupees extra per subsequent kilometre we can put 5 as the multiplier for x and there is our m or slope. We now have Y=5x+_. Now for b. B in this case is quite simple as is showing us where the start of the graph is. It is stated that there is a flat fee of 8 rupees, so the total can never be less than 8. Because b is simply where the line intercepts the y axis, and we want it to intercept at 8, we can just put a plus 8. And there you have it Y=5x+8. One important note is that the graph when drawn should be a ray extending from point (0,8). This is because we want to eliminate all of the areas on the plane that would make the fare negative, as we could not have a negative cab fare. This is as simple as plotting the line starting from point (0,8) on the y axis. Happy to help!
inverse of g(x) = x^2+1
Answers
To find the inverse, interchange the variables and solve for y
G^-1 (x) = square root x - 1, - square root x-1
a
\large 140\frac{1}{2}
b
\large 140\frac{1}{3}
c
\large 141
d
\large 140\frac{3}{4}
Answers
Write the equation of a line that is perpendicular to the given line and that passes through the given point y+ 2 = -(x - 5). (4.3) Oy=-3x+15 Oy=-3x - 9 Oy=-4x + 3 Oy=-x-11 =-
Answers
Answer:
B. y = -3x - 9
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The equation perpendicular to the given equation is y=-3x-9. Therefore, option B is the correct answer.
Given that, the equation of the line is y+2 = 1/3 (x-5) and the coordinate point is (-4, 3).
Here, the slope is 1/3
The slope of a line perpendicular to given line is m1=-1/m2
So, the slope is m=-3
Substitute m=-3 and (x, y)=(-4, 3) in y=mx+c, we get
3=-3×(-4)+c
3=12+c
c=-9
So, the equation is y=-3x-9
Therefore, option B is the correct answer.
To learn more about the slope of a line visit:
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Find the perimeter of an isosceles triangle. base edge = 23cm and vertex angle = 42°
Answers
HELP!!! 25 POINTE AND BRAINLIEST!! a local cafe sells 7,200 cold beverages in the month of july. over the next six months, the number of cold beverages decreases at an average rate of 750 cups per month. During the same time frame, the number of hot beverages sold is represented by the equation y=900x + 3,300 where the number of hot beverages, y, is a function of x, the number of months after july.
A. what is the rate of change of cold beverages sold per month? hot beverages?
B. which rate of change is greater? what does it mean?
Answers
Answer: a. The rate of change of cold beverages: -750 cups/month
The rate of change of hot beverages: 900 cups/month
b. The rate of change of hot beverages is greater (900 > -750). It means that the number of hot beverages sold increases at a rate of 900 cups every month.
Step-by-step explanation:
a. The question says that "the number of cold beverages decreases at an average rate of 750 cups per month". This indicates that the rate of change of cold beverages is -750 cups/month. Why negative? Remember that it decreases, not increases.
Then let's look at the equation given for the sale of hot beverages:
y=900x + 3,300
The slope of the equation is 900, which is also the rate of change. So the rate of change of hot beverages is 900
Need help w this due today
Answers
Answer:
Step-by-step explanation:
you have a right triangle,
a^2+b^2=c^2
10^2=4^2+b^2
100=16+b^2
100-16=b^2
84=b^2
b=9.16
Will give 15 point
Easy math please explain your work
Answers
Answer:
Answer is 154
Step-by-step explanation:
please help due asap jdbhdbdbd
Answers
Answer:
b
Step-by-step explanation:
Answer: b
Step-by-step explanation:
180°-116°=64°
All I need is the congruency statement and postulate ( SSS,HL,SAS,AAS,ASA,Not crungruent)
Answers
Answer:
I believe its AAS
Step-by-step explanation:
i need help i don’t know how to solve this:D
10x - 5x + 2
Answers
Answer:
5x + 2
Explanation:
10x - 5x + 2Add Similar Elements10x - 5x = 5x
5x + 2- PNW
y=-11x+5. help what is the slope
Answers
Answer:
this is the slope:
Step-by-step explanation:
m=-11
Solve the following inequality algebraically, 5|x + 5| + 7 => 22
Answers
Answer:
x≥−2 or x≤−8
Step-by-step explanation:
.
Answer:
x1 = -8
x2 = -2
Step-by-step explanation:
help please :/ i might die if i don’t get helpppp
Answers
Based on the scatterplot, which is the best prediction
of the number of gallons of water used by this
business when the cost of water is $180?
Answers
Answer:
90,000
Step-by-step explanation:
As per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
Here,
According to the question, the maximum limit shown on the scatterplot is $180 for 90 units on the scatterplot,
Where horizontal units are represented as the scale of 1 unit = 1000 units.
So for the maximum.
For the cost of $180 the gallons of water used is 90×1000.
Thus, as per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.
Learn more about scatter plots here:
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HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
NO SOLUTION, cannot be graphedStep-by-step explanation:
brainliest pleaseAnswer: no solution
because that solution cant be graphed
Step-by-step explanation: