Use the given information below to find the first 6 terms of a sequence. *
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1. -7, -19, -43, -91, -187, -379,...
2. -1, -7, -19, -43, -91, -187,...
3. -1, -6, -11, -16, -21,...
4, -6, -11, -16, -21, -26,...
Answer:
2. -1, -7, -19, -43, -91, -187,...
Step-by-step explanation:
[tex] \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ [/tex]
Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What was the length of the trim when she started? Write your answer in yards
Answer:
16.028 yards
Step-by-step explanation:
1 inch=0.0833333 foot
24 inches=0.0833333×24
=1.9999992 foot
The mirror is square shaped and each side is 24 inches
If each 24 inches=1.9999992 foot
Then,
4 sides of 24 inches=1.9999992×24
=47.9999808 foot
Maria has 1 foot of trim left
Total Length of trim when she started=47.9999808+0.0833333
=48.0833141 foot
=16.02777136667 yards
Approximately,
16.028 yards
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Answer:
irrational
Step-by-step explanation:
because an irrational number goes on forever so no matter what number is added to it it will always be irrational.
Answer:
Rational
Step-by-step explanation:
What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations
Answer:
infinitely many solutions
Step-by-step explanation:
Reduce the second equation by dividing all three terms by 3: y + 1 = 2x. Then compare this result to the first equation 2x - y = 1. Noe that these two equations are identical. Thus, the two lines coincide. There are "infinitely many solutions."
How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign.
Answer:
d
Step-by-step explanation:
I took the test
Can you please help with think im pointing on please is so hard i will give you a Brainiest
Answer:
40
Step-by-step explanation:
You need to take 30%of 40 to figure it out.
Hope this helps.
HELPPP URGENT URGENT HELP PLEASE!
in the diagram below what is the objects surface area?
if you answer this not only you will get hella points you will be considered SUPERIOR and a GOD OF BRAINLY
Answer:
Surface Area = 4928 ft^2
Step-by-step explanation:
Easy way -
First find the area of each face i.e.
56 * 20 = 1120
65 * 20 = 1300
33 * 20 = 660
2 * (1/2 * 56 * 33) = 1848
Total = 4928 ft^2
Need help with this question anybody there
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
WHAT IS 666x666 help me
Answer:
666 x 666 = 443,556
Answer:
443556
Step-by-step explanation:
666 * 666 = 443556
666
x666
-------
443556
A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth
Answer:
100
100
Step-by-step explanation:
1 person to 100 people
The scale factor is 100
The paper fits 1 muffin
now it will have to a muffin 100 times bigger
100 is the scale factor
Answer this to be called the smartest...... What has 4 lags in the morning, 2 in the afternoon, and 3 at night..?
Answer:
A person
Step-by-step explanation:
I have heard this riddle multiple times, it is very well known and ( in my opinion ) very intriguing;
If we are considering the 4 legs in the morning, we can assume it to be a baby crawling on all 4's. 2 legs in the afternoon represents a more elderly person, a young child or adult on their 2 legs, and 3 in the night models an elderly person, using a walking stick as their " leg "
Answer; In other words, a person has 4 legs in the morning, 2 in the afternoon, and 3 at night
A human is one who has 4 legs in the morning, 2 in the afternoon, and 3 at night.
What is a riddle?
A statement, inquiry, or phrase with a hidden or double sense that is presented as a problem to be answered is called a riddle. A riddle often consists of a topic or a statement with numerous interpretations that must be resolved. Riddles can be humorous brain teasers or wanted-to-think puzzles. It is similar to working to remedy a riddle.
Morning represents a baby. A baby crawling in the morning has four legs and hands included.
An adult represent afternoon walks with two legs and they are the one who have to sand on their own.
An elderly person representing night who walks with the aid of a cane or walking stick is known as "3 legs in the evening." as they might have trouble while walking.
Learn more about riddle, Here:
https://brainly.com/question/478260
#SPJ2
Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?
Answer:
She would earn 728 $ in commission
Step-by-step explanation:
Can anyone help with this math problem ?
1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR
Answer:
1. The amount that was not spent is: 1080 soles
2. The answer is 5.
Step-by-step explanation:
Question 1. There are two situations:
If you spent 5/8 of the money then notice, that u did not spend 3/8.
If you spend 2/5 of the money, then you would have 72 more.
So think, this equation:
3/8x + 72 = 2/5x
2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.
72 = 2/5x - 3/8x
72 = 1/40x
x = 2880 soles
As you did not spend 3/8 of 2880, the answer is 1080 soles
Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.
Question 2.
We think letters for this excersise.
N = My born year
2020 (this year) - N = E (my age, now)
So N + 10 = when I get 10 years old
N + 20 = when I get 20 years old
N + 30 = when I get 30 years old
N + 40 = when I get 40 years old
The problem says:
(N+10) + (N+20) - (N+E) = 2020
((N+30)+E) - (N-40) = X
So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:
((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020
No minus in the first two terms, so we can break the ( )
2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020
We apply the distributive property for the second term
2020-E+10 + 2020-E+20 - 2020+E-E = 2020
We can cancel two E, and the 2020, so the new form will be:
2020 - 2E + 30 = 2020
We can also cancel the 2020, so if we reorder the equation, we have:
-2E = -30
E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)
Look:
(2005 + 10) + (2005+20) - (2005+15) = 2020
So now, the last part
((2005+30)+15) - (2005+40) = 5
What is the volume of this solid?
A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches.
Recall the formula V = Bh.
280 cubic inches
385 cubic inches
465 cubic inches
560 cubic inches
Answer:
the answer: 280ci
Step-by-step explanation:
:] [:
Answer:
280
Step-by-step explanation:
Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.
Answer:
[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.
So: [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]
Hope this helps :)
Which of the following measures of variability can be used to compare two data sets?
Answer:
I think they are the range, the interquartile range. Tell me if if wrong!
Step-by-step explanation:
PLEASE HELP!! The cost for parking in the local covered parking lot is calculated by ƒ(h) = 4.5 + 1.5⌈(h - 1)⌉ where h is the number of hours you parked. What is the cost for parking in the garage for 75 minutes?
Answer:
The cost of parking in the garage for 75 minutes is 4.875.
Step-by-step explanation:
The costs of parking h hours is given by the following function:
[tex]f(h) = 4.5 + 1.5(h-1)[/tex]
Cost of parking 75 minutes.
1 hour is 60 minutes. How many hours are 75 minutes?
1h - 60 min
xh - 75 min
[tex]60x = 75[/tex]
[tex]x = \frac{75}{60}[/tex]
[tex]x = 1.25[/tex]
75 minutes is 1.25 hours. So we have to find f(1.25).
[tex]f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875[/tex]
The cost of parking in the garage for 75 minutes is 4.875.
Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?
A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2
Answer:
[tex]\frac{1}{3}[/tex] chance.
Step-by-step explanation:
The only factors of 6 on a die is 1, 2, 3, and 6
The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.
(None of the options you gave is correct)
The probability of getting numbers which is not a factor of 6.
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
To understand more, check below explanation.
Probability :The numbers on die which is factors of 6 is,
1,2,3,6
So that, numbers on die which is not factor of 6 is, 4 and 5.
We have to find probability that the score is not a factor of 6.
Total number of favorable outcomes = 2
Total outcomes = 6
Probability that the score is not a factor of 6,
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
Learn more about the probability here:
https://brainly.com/question/24756209
Y = 3x -1 Y = 2x + 3
Answer:
x = 4
y = 11
Step-by-step explanation:
You can make the equations 3x - 1 = 2x + 3
x = 4
y = 11
what’s the sum of 0.25 and 0.6
the answer is 0.85
because 25 plus 60
is 85
Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answer:
a,b, and e
Step-by-step explanation:
i did the lesson on edge2020
How do you round 109.3034
Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!
Step-by-step explanation:
tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°
Answer:
-tan 20
Step-by-step explanation:
They have the same answer when typed in a calculator
mark has a friend named Chole how different are marks and chole DNA ?
Answer:
xx vrs. xy chromosomes in their genetics
what is t if 5/7t = 15
Answer:
21
Step-by-step explanation:
15/ 5/7 = 21
Un faro enciende cada 12 segundos, otro cada 18 segundos y un tercero cada minuto. A las 7:30pm los tres coinciden. Averigua a qué hora vuelven a coincidir los 3. (Siga el formato de hora correcto. Por ejemplo: 7:30pm. Sin espacios)
Answer:
7:33 p.m.
Step-by-step explanation:
Para resolver este problema, necesitamos encontrar el mínimo común múltiplo de los intervalos en los cuales se encienden los faros. Para eso necesitamos primero convertir el tiempo que tarda el tercer faro en segundos. Sabemos que cada minuto tiene 60 segundos en total, así que el tercer faro se encenderá cada 60 segundos.
Luego de tener todos los tiempos en segundos, procedemos a escribirlos en una tabla como la siguiente:
12 18 60
La idea es buscar los números primos que todos tengan en común y dividirlos todos entre dichos números primos hasta que ya no podamos dividirlos más, por ejemplo, estos números se pueden dividir todos dentro de 2 así que hacemos eso:
12 18 60 | 2
6 9 30 | 2 dos de estos números nuevos pueden ser dividos entre dos también, así que hacemos justo eso.
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3 ahora todos pueden ser divididos entre 3, así que obtenemos:
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3 uno de estos números se puede dividir entre 3 y obtenemos.
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3
1 1 5 | 5 y finalmente dividimos entre 5 para obtener:
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3
1 1 5 | 5
1 1 1
luego que terminamos la tabla tomamos todos los números que usamos para dividir y los multiplicamos entre si para obtener:
2*2*3*3*5=180s
los tres focos se volverán a prender luego de 180s. Si pasamos los 180s a minutos, tenemos que:
[tex]\frac{180}{60}=3min[/tex]
entonces lo único que tenemos que hacer es sumarle esos 3 minutos a la hora que nos dieron originalmente para obtener:
7:30 + 3 min = 7:33pm
la cual es nuestra respuesta.
can someone please help me :)
Answer:
B
Step-by-step explanation:
Factor x²−16 completely, SHOW STEPS PLEASE
Answer: (x +4)(x - 4)
Step-by-step explanation: Since x² - 16 represents the difference of two squares, it can be factored as the product of two binomials, one that has a plus in it and one that has a minus in it.
The first position in each binomial is filled by
the factors of x² that are the same, x times x.
The second position in each binomial is filled
by the factors of 16 that are the same, 4 times 4.
The answer therefore is (x + 4)(x - 4).
