Sequences:
Determine the first five terms of the following sequences:
A. [tex]a_{n} = \frac{2n+3}{4}[/tex]
B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]
Answer:
A.
aₙ = (2n + 3)/4The first 5 terms:
a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4B.
aₙ = (n - 3)/(n - 2)The first 5 terms:
a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3In 1999. Sara and her brother Xzavier got money when their rich uncle died. They
each got the same amount of money. Sara bought some land in the country
because she heard they would be building houses near there some day. She
bought 300 acres of land with all of the money she got from her uncle,
$600,000, in 2000. In 2003 they extended the main highway to go near her land
and she sold 100 acres for $2700 lacre. In 2005 she sold half of the land she had
left for $3600 lacre. In 2007 they started a long-term project to build houses in
the area and built a Lowes, a Food Lion, A Bank of America and a Burger King on
the main street. Finally, in 2010. Sara sold the rest of her land for $400,000. What
was her total profit when she finished selling all of the land?
Answer:
$406,300
Step-by-step explanation:
$2,700 + $3,600 = $6,300
$400,000 + $6,300 = $406,300
A system has two identical components, and requires both the components for system success. If one component fails, the other cannot fail while the failed component is being repaired. The component failure rates and repair rates are 0.1 failures/year and 365 repairs/year respectively. If a similar component is carried as a spare with an average installation time of 1 hour, evaluate the probability of failure, frequency of failure and the average down time of the system.
Answer:
Step-by-step explanation:
We are given that:
The failure rate = 0.1 failure/year
i.e. = [tex]\dfrac{0.1}{365\times 24}= 0.00001 \ failure /hour[/tex]
The repair rate = 365 repair/year, if we convert this to repair/hour; we get:
[tex]= \dfrac{365}{365\times 24} \\ \\ = 0.04 \ repair/ hour[/tex]
Time (t) = 1 hour
P(failure) = 1 - R ; if (t=1)
where:
[tex]Reliability (R ) = e^{-\lambda t}(1+ \lambda t) \\ \\ = e^{-0.00001*1}(1+0.00001 *1) \\ \\ \simeq 0.9999[/tex]
P (failure) = 1 - R
= 1 - 0.9999
= 0.0001
≅ 0
The frequency meantime of failure = [tex]\dfrac{1}{\lambda}[/tex]
[tex]\dfrac{1}{0.00001}[/tex]
= 100000
The average downtime of repair for the system = [tex]\dfrac{1}{\mu}[/tex]
[tex]=\dfrac{1}{0.04}[/tex]
= 25
WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS
Answer:
D
Step-by-step explanation:
Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17
Please give brainliest thank you
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
The quotient when 17 less than p is divided by 8.
Well, let's first take 17 less than p. That'll be :-
[tex] \sf \: p - 17[/tex]
Note :- 'p' comes first as the question has the words - less than p.
Now, we have the remaining -> 'is divided by 8'.
The equation will become :-
[tex] \sf \:( p - 17) \div 8[/tex]
Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.
So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.
________
Hope it helps.
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths
Answer:
3/12
Step-by-step explanation:
1/4*3/3=3/12
Carmen drives her car 4,629 miles Uma drives her car more miles than Carmen how many miles could on my drive her car
Answer:
4,962
Step-by-step explanation:
(x-4)2 + 3x at the value x = 7
Answer:
30
Step-by-step explanation:
x = 7
( x - 4 )^2 + 3x
= ( 7 - 4 )^2 + 3 ( 7 )
= 3^2 + 21
= 9 + 21
= 30
Answer:
The answer is 27
Step-by-step explanation:
(X-4)2 + 3x
x is equal to 7
first substitute the values.
(7-4)2 + 3 x 7
solve-
(3)2 + 21
=27
Find the value of x. 2x - 5 > 7 *
Answer:
[tex]x>6[/tex]
Step-by-step explanation:
Answer:
x > 6
Step-by-step explanation:
HELP ASAP I WILL GIVE BRAINIEST AND 100 POINTS PLEASEE
Answer:
What are the options tho?
Step-by-step explanation:
Answer:
1/10?
Step-by-step explanation:
total:250
red:25
25/250 simplified=1/10
What do you think the answer is
1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer
Answer:
8x + 28
Step-by-step explanation:
plzzzzzzzz help for a brainly
Answer:
246
Step-by-step explanation:
HELP ASAP WILL GIVE MOST BRANILIST
Write in the equation for the slope intercept form and please no links or I will report you
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service
department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage.
They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
A, yes the conditions for inference are met
Step-by-step explanation:
I got the question right so it's right
Find the missing side. Round to the nearest tenth
Answer:
We know Cot51 = x/17
=> 0.809784 × 17 = x
=> 13.753 = ×
.°. The value of x = 13.753 ~~ 14.000 (Ans)
PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
mrk me brainliest plz
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
MARK ME BRAINLEIST PLZ PLZ PLZ
What is the measure of angle L
Answer:
90-15 and you have your answer
Answer:
75
Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.
write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7
x=
Answer:
hope this helps
Step-by-step explanation:
equation for a parabola is:
What is parabola?The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.
Given: focus= (3,-5), directrix at x =-7.
To find equation of parabola we will use distance formula,
√(x+7)²=√(x+3)² + (y+5)²
(x+7)²=(x+3)² + (y+5)²
x²+14x+49= x²+9+6x + (y+5)²
8x + 40 = (y+5)²
x= (y+5)²/8 -5
Hence, the equation of parabola is x= (y+5)²/8 -5
Learn more about equation of parabola here:
https://brainly.com/question/4025891
#SPJ2
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried an 8.5 percent interest rate?
Answer:
the answer 57.8
85 x 8 x 8.5% = 57.8
Step-by-step explanation:
brainliest pls
the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Please help
Answer:
4/3
Step-by-step explanation:
f(x)=3x 2 +6x−18Find f(10)
Answer:
342
Step-by-step explanation:
To find f(10), simply substitute x for 10, resulting in 300+60-18 = 342
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
The local weather forecast has been accurate for 24 of the past 30 days. Based on this fact what is the relative frequency probability that the forecast for tomorrow will be accurate
Step-by-step explanation:
the empirical probability is 24/30, or 4/5. this is also the desired probability.
PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.
Answer:
Graph A. not a function
Graph B. is a function
Mapping A. is a function
Mapping B. not a function
Table A. not a function
Table B. is a function
Answer:
a graph. not a function
b graph.function
a table. not a function
b table. function
maaping a. function
mapping b. not a function
Step-by-step explanatio n:
mark me brainelst plz
A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?
Answer:
The rabbit will run 264feet to get to the tortoise
Step-by-step explanation:
To solve this problem perfectly, we need to take note of the units and conversions involved.
The speed of the tortoise is 0.1 mi/hr
The speed of the hare is 5mi/hr
If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.
The tortoise runs 0.1 miles in 1 hour
The tortoise will run x miles in 0.5 hours.
x = 0.5 X 0.1 = 0.05 miles.
Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.
The hare will have to run for 0.05 miles before he can catch up to the tortoise.
It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.
The answer in feet is 264 feet.
Therefore, the rabbit will run 264feet to get to the tortoise
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer: 471
Step-by-step explanation:
3.14 X 5(2) X 6
3.14 X 25 X 6
471 units (3)
Answer:
401.92
Step-by-step explanation:
khan
Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the picture)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.
Can someone please help me I will mark u brilliant for both
Answer:
1. 1/2
2. 4
Step-by-step explanation:
2. 14x = 56
56 / 14
x = 4