Answer:
Step-by-step explanation:
Explicit
a_n = a1 * r^(n - 1)
Find r by dividing term (n)/(n - 1)
r = 250 / 50
r = 5
a_n = a * r^(n - 1)
Recursive
a_n = a_(n-1)*r
Try an example
Find a_6
a_6 = 2 * 5^(6 - 1)
a_6 = 2 * 5^5
a_6 = 2 * 3125
a_6 = 6250
recursive
a_n = a_(n - 1)*r
r = 5
n = 6
a_n = 1250 * 5
a_n = 6250
The explicit method looks a whole lot easier, but not for a machine made by Dell and programed by Microsoft. A computer doesn't really mind doing a whole lot of calculations that are repetitive. And in many cases recursive is easier to program and is faster.
Answer:
explicit: a(n) = 2·5^(n-1)recursive: a(1) = 2; a(n) = a(n-1)×5Step-by-step explanation:
The given sequence is exponential with a first term of a1 = 2 and a common ratio of r = 10/2 = 5.
The explicit equation for an exponential sequence is ...
a(n) = a(1)×r^(n -1)
So, for the given parameters, the explicit equation is ...
a(n) = 2×5^(n -1)
__
The recursive equation for any series defines the next term as a function of previous terms. For a geometric sequence the next term is the previous term multiplied by the common ratio. For this sequence, the recursive definition is ...
a(1) = 2
a(n) = 5×a(n-1)
15℅ of 6th grade teachers give homework over the holiday break. If 12 teachers give homework, how many total 6th grade teachers are there? Please show your work
Answer:
12
Step-by-step explanation:
Its a trick question, 15% of 6th grade teachers give HW, but there are 12 teachers. its not gonna be 15% of 12, because you would also get a fraction of a teacher.
The circle graph shows the
number of votes received by each candidate during a
school election. Find the percent of students who voted
for the indicated candidate. (See Exploration 1, p. 247.)
10. Candidate A
11. Candidate B
12. Candidate C
Answer:
36%
Step-by-step explanation:
54/150=p/100
(150 comes from all of the numbers combined from the chart)
Do the math
150b=5400
divide both sides by 150
which gets you 36
just add the percentage
36%
what is the area of 30' long by 3/4' wide?
Answer:
A = 22.5 ft^2
Step-by-step explanation:
This shape is a rectangle of length 30' and width 3/4'.
The area of a rectangle of length L and width W is A = L * W.
Here, with L = 30' and W = (3/4)', A = (30')(3/4') = 45/2 ft^2, or A = 22.5 ft^2
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the following system of equations in the coordinate plane. Use the Mark Feature tool to indicate the solution to the system on
the graph.
33 - 2y = -12
y = 4 +1
Drawing Tools
Click on a tool to begin drawing
Undo
Reset
Select
Mark Feature
+
A
10
Line
6
Pre-Ala 7 Inequ....pdf
Show A
The solution to the system of equations is (2,9)
The system of equations is given as:
3x - 2y = -12
y = 4x + 1
Start by plotting the graphs of 3x - 2y = -12 and y = 4x + 1
From the graph (see attachment), the point of intersection of both lines is:
(x,y) = (2,9)
Hence, the solution to the system of equations is (2,9)
Read more about system of equations at:
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Write an equation for the n th term of the arithmetic seqeuence. Then find a{10}. 100,110,120,130
Answer:
100+10n
Step-by-step explanation: a(10)
100+10(10)
100+100 = 200
What dose g(x) + (-g(x)) = supposed to equal?
Answer:
The answer is
0
Please show your work
Answer:
a = 9
Step-by-step explanation:
a^2 = 41^2 - 40^2
a^2 = 1681-1600 = 81
a = 9
Trisha has two boxes of marbles
Answer:
Trisha has two boxes of marbles than
to find probability
use formula
probability =no.of given marble/total no of marble
Lynette and Amber are planning their eighth-grade graduation ceremony. They are shopping for decorations for the stage.
They want to buy a balloon arch that costs $89.95.
They also want to buy some flower arrangements that cost $9.75 each.
They can spend no more than $250.
Lynette thinks that they can buy the balloon arch and 16 flower arrangements, but Amber thinks they can buy the balloon arch and 20 flower arrangements. Which girl's estimate is more reasonable?
A-Amber's, because the flower arrangements will cost about $100
B-Lynette's, because 16 flower arrangements will be about $160
C-Lynette's, because the arch will cost about one-half of their funds
D-Amber's, because $160 will be left for the flowers after buying the arch
Answer:
B
Step-by-step explanation:
5/9 (f – 32) when f = 50
Answer:
10
Step-by-step explanation:
5/9(50-32)
5/9(18)
5/9×18=10
Hope this helps! :)
What is the value of x?
5
c
6
b
4.2
d
x
a
Answer:
its b
Step-by-step explanation:
7x2vault3 6 squere-79=4.2
Hello everyone, I just wanted to ask where are you from and what time is it in your country. For example, I'm from Lithuania and my current time is 22:57.
Answer:
Cool
Step-by-step explanation:
I'm from Puerto Rico and it is 57:08
Need help with number 6! Please show your work! Thank you! Have a nice day!
B is the correct answer for question 6 because it says PER MINUTE THAT MEANS WE'RE DIVIDING.
hope this helps u!
have a wonderful day!
Pls me me plsss help and show work
Answer:
Here ya go!
Step-by-step explanation:
Joe has $300 in the bank right now and saves $25 per month. Leah has $150 in the bank right now, but she is able to save $35 per month. How long will it take them to have the same anount of money saved?
Answer:
15 months
Step-by-step explanation:
300+25x=150×35x
150=10x
x=15
The length of one wall in Mr. Shelby‘s classroom and 29 feet. What is the length of this wall in inches.
Answer:
348 inches
Step-by-step explanation:
29x12=348
The length of Mr. Shelby's wall is 348 inches.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, the length of one wall in Mr. Shelby's classroom and 29 feet, we need to convert it into inches.
So,
1 ft = 12 inches
Therefore,
29 ft = 29 × 12
= 348 inches
Hence, the length of Mr. Shelby's wall is 348 inches.
Learn more about unit conversion, click;
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Help&EXPLAIN
rose
Pls I have a hard time with this
Step-by-step explanation:
hope I'm able to explain
Presley's lemonade recipe uses 4 scoops of lemonade powder for every 2 1/2 cups of water. Presley uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should she use?
Do the functions have the same concavity?
Answer:
yes
Step-by-step explanation:
i thing so i don't know
write in set notation; The et of all real numbers greater than 8 but less than 65
Given:
A set of all real numbers greater than 8 but less than 65.
To find:
The set notation of the given set.
Solution:
Real number: All rational or irrational numbers are known as real numbers.
Let the unknown variable x represents the elements of the set, then the value of x must be greater than 8 but less than 65.
[tex]8<x<65[/tex]
The set notation is:
[tex]Set=\{x|x\in R,8<x<65\}[/tex]
Therefore, the required set is [tex]\{x|x\in R,8<x<65\}[/tex].
1000 divided by _________= 10
1000 divided by _________=1
42,000 divided by _________ = 42
42,000 divided by ___________ = 4200
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
A
Step-by-step explanation:
M = 17 x
The total cost = cost of t-shirts (number of t-shirts)
The area of a rectangle is 33ft, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle
Hi there!
[tex]\large\boxed{\text{ L = 6 ft, w = 5.5 ft}}[/tex]
Use the following equation for the area of a rectangle:
A = l × w
Since the length is 5 ft less than twice the width, we can write an expression for the length in terms of the width:
l = 2w - 5
Plug the given area and expression into the equation:
33 = (2w - 5) × w
Distribute:
33 = 2w² - 5w
Move everything over to one side:
0 = 2w² - 5w - 33
Factor the equation:
0 = (2w - 11)(w + 3)
Find each w value by setting each expression equal to 0:
0 = 2w - 11
11 = 2w
w = 5.5
0 = w + 3
-3 = w
Since dimensions must be positive, the width is 5.5 ft.
Plug this value into the initial equation to solve for length:
33 = 5.5l
33/5.5 = l
l = 6 ft.
The dimensions are length = 6ft, and width = 5.5ft.
Jeremy has 9 roses. One-third of the roses are white. How many roses are white?
20/6 = x/36, what is the value of x?
Answer:
[tex]x = 20 \times 36 \div 6 \\ = 20 \times 6 \\ = 120[/tex]
Hope it helps
what is the capacity in litres of a rectangular tin that measures 20m by 20cm by 10cm
Answer:
0.4 liters
Step-by-step explanation:
Volume: length x width x height
Volume: 20 x 20 x 10
Volume: 400 cm cubed
1 cubic cm = 0.001 liters
400 cm cubed = 0.4 liters
Paul was thinking of a number. Paul subtracts 8 from it and gets an answer of 20.6. What was the original number?
Answer:
28.6 is the answer as when you subtract 8 from 28.6 you get 20.6 which Paul got
make a number line and show all values of x such that... x<-1 and x>1
if this makes sense
Step-by-step explanation:
<_____* *________>
<---|------|-----|-----|-----|-----|----->
-2 -1. 0. 1. 2. 3
Answer:
1+1=2
ur name rhymes with p**
Step-by-step explanation:
Domain:___
Range:___
Function:___
Answer:
Domain: {-4,-2,1,3}
Range: {3,2,-1,-5}
Function: (-4,-5);(-2,-1);(-2,3);(1,2);(3,-1)
Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation: