Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]
[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]
The common ratio between third term 50 and second term 100 is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]
Hence, the common ratio is 1/2.
To know more about the Common ratio click the link given below.
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Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Company A is cheaper than Company B.
Answer:
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Step-by-step explanation:
Let the number of hours be represented by t
For Company A
Company A charges $45 per hour and a $150 equipment fee.
150 + 45t
For Company B
Company B charges $35 per hour and a $200 equipment fee.
200 + 35t
Write an equation for each situation, in terms of t,t, and determine
The interval of hours,t, for which Company A is cheaper than Company B is given as:
Company A < Company B
Hence:
150 + 45t < 200 + 35t
Collecting like terms
45t - 35t < 200 - 150
10t < 50
t< 50/10
t < 5
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Answer:
This is the correct answer on Delta Math
Step-by-step explanation:
Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees
Answer:
(-3,-4)
Step-by-step explanation:
Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes
(-x,-y)
LA DISTANCIA ENTRE LA TIERRA YLA LUNA ES DE 384 392 KM. LOS AUSTRONAUTAS DE LA APOLO XL SALIERON EL 16 DE JULIO DE 1969 DESDE EL CENTRO ESPACIAL KENNEDY Y ALCANZARON LA ORBITA LUNAR EL 16 DE JULIO DE 1969.SUPONIENDO QUE CADA DIA RECORRIERON LA MISMA CANTIDAD DE KILOMETROS.¿CUANTOS KILOMETROS RECORRIERON POR DIA.
Complete question :
la distancia entre la tierra y la luna es de 384 392 km. Los astronautas de la Apolo XL salieron el 16 de julio de 1969 desde el Centro Espacial Kennedy y al alcanzaron la orbita el 19 de julio de 1969. Suponiendo que cada dia recorrieron la misma cantidad de kilometros cuantos kilometros recorrieron por dia
Responder:
128130,66 kilometros
Explicación paso a paso:
Dado que:
Distancia entre la tierra y la luna = 384,392 km
Tiempo empleado = (19 de julio - 16 de julio) mismo año = 3 días
Velocidad = distancia / tiempo
El tiempo empleado es (3 * 24) = 72 horas
Por lo tanto,
velocidad = 384,392 / 72
= 5338,7777 kilómetros por hora
Dado que se supone que la distancia recorrida diariamente es la misma m:
El número de kilómetros recorridos por día:
5338,7777 kilómetros por hora * 24
= 128130,66 kilometros
A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b
Is 14x+16x-4=5(4x+9)x=49 a solutionn or problem?
Answer:
its a problem there is still work to be done with it
Step-by-step explanation:
11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.
I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.
Sherly's Plumbing and Howard's Plumbing have different
ways of charging their customers.
Sherly's Plumbing charges $43 per hour plus a $30 initial
fee.
Howard's Plumbing charges $28 per hour plus a $24
initial fee.
Make a function that represents each person, then find
the cost, f(7), for each person.
Your answer: Not there yet, keep working
Question
Answer
Linear Function for Sherly:
s =
Linear Function for Howard:
Sherly $(7) =
Howard $(7) =
Answer:
Sherly's Plumbing is : f(x) = 43x + 30 and Howard's Plumbing is f(x) = 28x + 24
sherly's f(7) = 331 and Howard's f(7) = 220
chess club with 30 members is electing a new president. Yolanda received 27 votes. What percentage of the club members voted for Yolanda?
Answer:
Step-by-step explanation:
90% of the chess club!
✨Hope it helps✨
✨Brainliest?
Determine the unknown angle measures in the figure.
m∠ 1=
m∠ 2=
m∠ 3=
m∠ 4=
m∠ 5=
KEEP IN MIND THE TOTAL AREA OF A TRIANGLE IS 180 DEGREES
KEEP IN MIND A STRAIGHT LINE IS ALSO 180 DEGREES
Answer:
1- 80
2- 112
3- 131
4- 80
5- 37
Step-by-step explanation:
Please help its geometry :( no one answer my question
Kennedy had the expression 3(2x-3x+8). She simplified and rewrote the
expression 3(8+x). If any, what was her error?
Answer:
It is -3x+24
Step-by-step explanation:
2x-3x is -x or -1x
It can also be simplified further using multiplication.
3(2x-3x+8)
3(-x+8)
-3x+24
What is the prime factorazation of 50
Answer:
Prime factorization of 50 is 2 x 5 x 5 or 2 x 5^2
Step-by-step explanation:
Simplify the expression.
- 7 + 3 - 14 + 2
Answer:
-4 - 16
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
you just use a calculator lol :)
{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk
Answer:
(8,9)
Step-by-step explanation:
The biggest number minus the smallest number.
Can someone help me with this
Answer:
C
Step-by-step explanation:
I checked it and it’s right hope this helps!!
David buys last year's best-selling novel, in hardcover, for $15.30. This is with a 15% discount from the original price. What was the original price
of the novel?
Answer/Step-by-step explanation:
$15.30 * 0.15 = 2.295 or 2.30
15.30 + 2.295 = 17.595 or 17.60
The original price of the book is $17.60.
PLEASE HELP, THANK YOU (-:
Answer:
1 mile per hour
Step-by-step explanation:
there are between 24 and 40 students in a class. The ratio is 4:7, how many students are there
Answer:
28:35 = 4:7
Step-by-step explanation:
Hope that helped!
Answer:
33 students
Step-by-step explanation:
4 + 7 = 11
8 + 14 = 22
12 + 21 = 33
hope this helps!
15 is 60% of what number?
Answer:
25
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
60 percent (calculated percentage %) of what number equals 15? Answer: 25.
PLEASE ANSWER FAST ITS FOR A BIG TEST!!! Find an expression which represents the difference when (−6x+5) is subtracted from (−x−8) in simplest terms. ILL GIVE BRAINLIEST
Answer:
5x-13
Step-by-step explanation:
please show work
A car travels 110 miles in 2 hours (with a constant speed. How much time will it take traveling 484 miles?
Answer:
8.8 hours or 528 minutes
Step-by-step explanation:
110 miles in 2 hours
divide both by 2
55 miles in 1 hour
484/55 = 8.8 hours
If you need it in minutes there are 60 minutes in an hour so multiply 8.8 by 60
8.8*60=528 minutes
HELP! HELP! I never learned to count to ten, so I’ll just count to five and then. 1, 2, 3, 4, 5 outside, and then I’ll go and count/look again!
Answer:
6,7 8, 9,10
Step-by-step explanation:
those are the numbers after 5 in order
Answer:
6,7,8,9,10
six,seven,eight,nine,ten
Step-by-step explanation:
Hope this helps!!
The diagram below shows a map of the routes taken by Georgia Air-Taxi airline. On this diagram lengths and directions are irrelevant, all that matters is the connections between airports. Choose the adjacency matrix, name it A, that matches the scenario.
Answer: B
Step-by-step explanation: Adjacency Matrix is a square matrix representing a simple graph with 0 or 1 according to the condition given.
In this diagram, 0 corresponds to no connection between airports and 1 corresponds to connections between airports.
In other words, analysing the image, we see that:
1) Albany just have connection with Atlanta, so in the position of line Albany with column At, it must be a 1. The other columns, there are 0.
The Line for Albany in the matrix will be: [0 1 0 0 0 0]
2) Atlanta has connections with Albany, Dalton, Macon and Augusta. So corresponding position (line and column) must be 1. The only two airports Atlanta doesn't have connection with its own and Waycross, so at the corresponding column and line, it is written 0.
The line for Atlanta in the matrix is [1 0 1 1 1 0]
3) Augusta: connections with Atlanta, Macon, Waycross. At those positions, it will be written 1. At positions related to itself, Albany and Dalton is 0.
The line in the matrix will be [0 1 0 0 1 1]
4) Dalton: connection with Atlanta only. That position will be 1 while the others will be 0.
The line is [0 1 0 0 0 0]
5) Macon: connections with Atlanta, Augusta and Waycon: those positions will have 1 and the other 0.
The line is [0 1 1 0 0 1]
6) Waycross: connections with Macon and Augusta. Those positions will be 1 and the others 0.
The line is [0 0 1 0 1 0]
In conclusion, the adjacency matrix matching the scenario is
[tex]A=\left[\begin{array}{cccccc}0&1&0&0&0&0\\1&0&1&1&1&0\\0&1&0&0&1&1\\0&1&0&0&0&0\\0&1&1&0&0&1\\0&0&1&0&1&0\end{array}\right][/tex]
Choose Positive or Negative for each expression.
Answer:
A. negative
B. positive
C. positive
D. negative
hope this helps!
Step-by-step explanation:
Answer:
a. negative
b. positive
c. positive
d. negative
Step-by-step explanation:
a. (-4)(17)(-2)(-1)
-68(-2)(-1)
136 (-1)
-136
b. (-2)(-6)(1)
12(1)
12
c. (-5)(4)(-13)(2)
-20(-13)(2)
260(2)
520
d. [tex](-1)^{3}[/tex] or (-1)(-1)(-1)
1(-1)
-1
tried taking a photo and fail but any ways 16 - 2t = 5t + 9
ooo among us!! i was just looking at some fan art of it.. also love your pfp! who is it? if u don't mind me asking I would love to watch the show if it.. or at least know the person :D
anyway.. happy day/night ~
. Line / is shown on the graph below. If
another line is drawn, perpendicular to
line I, what must be its slope?
y
A. -3
B. 3
C. 0
D. undefined
The slope of the perpendicular line is -3, which is option A.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The given equation of the line is I: y = (1/3)x.
To find the slope of a line perpendicular to I, we need to take the negative reciprocal of the slope of I.
The slope of I is 1/3, so the slope of a line perpendicular to I is:
-1 / (1/3) = -3
Therefore, the slope of the perpendicular line is -3, which is option A.
To learn more about the slope;
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The complete question:
If another line is drawn, perpendicular to line I = y= 1/3x, what must be its slope?
A. -3
B. 3
C. 0
D. undefined
can someone help me with this?
The sample space below shows the results the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they
scored more goals than their opponent, lost matches where they scored less, and tied matches where they
scored the same amount.
If we take matches 1, 3, 5, 6, and 8 as a subset of the sample space, which of the statements below
describe this subset?
b. the subset consists of all the matches where there were no ties
and
d. The subset consists of all the matches where manchester united won or lost
I would post the picture of me getting it right if I could, if you want to trust me go ahead. success awaits ig lol
The correct statements are:
The subset consists of all the matches where there was a tie.The subset consists of all the matches where Manchester United's opponent did not lose.What is Data?In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.
Given:
From the table we can see that
As, the subset consists of all the matches where there was tie in matches 3, 5 and 8.
and, The subset consists of all the matches where Manchester United's opponent did not lose.
Learn more about Data here:
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5.Select all of the expressions that are equivalent to 8x - 12
(3 Points)
a.4(2x - 3)
b.-12x + 8
c.6x + 2x - 12
d.8(x - 1) - 4
Answer:
A
Step-by-step explanation:
I need help someone help me plz
Answer:
the answer to x is 4
Step-by-step explanation:
.