Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
aₙ₊₁ = aₙ+2, for n ≥1Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=2[/tex]
also
[tex]a_1=11[/tex]
so substituting [tex]d=2[/tex], [tex]a_1=11[/tex] in the nth terms
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=2\left(n-1\right)+11[/tex]
[tex]a_n=2n+9[/tex]
Therefore, the Explicit formula is:
[tex]a_n=2n+9[/tex]
You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes.
Answer:
250 minutes
Step-by-step explanation:
I'm going to word it in a more complicated way so that you can already have this knowledge for future times...
3t = 150
150 ÷ 3 = 50
t × 5 = 250
Find the distance between the points (-3,- 2.2) and (-3,2.6).
Plz explain I want to see if I got it right.
Answer:
d = 4.8 units
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}[/tex]
~~~~~~~~~~~
( - 3, 2.6 )
( - 3, - 2.2 )
d = [tex]\sqrt{(-3+3)^2 +(-2.2-2.6)^2 }[/tex] = √(- 4.8)² = 4.8 units
multiply 17.243 * 0.95
Answer:
16.38085
Step-by-step explanation:
Answer:
the answer is: 16.38085
Step-by-step explanation:
i have a good calculator
Sarah's soccer team won 68% of the games they played. If they won 17 games, how many did they did they play?
Answer:
25
Step-by-step explanation:
Compare the data and get the answer
Answer:
25
Step-by-step explanation:
p=10-2.5c, find p when c = 3.2
Answer:
P=2
Step-by-step explanation:
10-2.5(3.2)=P
By order of operations you would multiply 2.5 and 3.2 together giving you 8.
You would then subtract 10-8 giving you 2.
A plane is flying from city A to city B, which is 70 miles away. After flying 25 miles, the pilot realizes they were 15 ∘ off course .
How far is the plane from city B when the pilot realized the error?
about 74.4 miles
about 21.8 miles
about 46.3 miles
about 84.94 miles
Solve the following problems using linear functions.
a. Suppose there’s a linear relationship between your height and your shoe size: s = (1/10)h + 5, where h is measured in inches. If you’re 5 feet, 10 inches tall, what size shoes do you take? (Remember that 1 foot = 12 inches.)
b. Runner A and Runner B are competing in a race. Runner B is given a 10-meter head start and is therefore positioned 10 meters in front of the starting line. The starting gun sounds, and Runner B runs at a constant speed of 2.5 meters per second (m/s). After 10 seconds, how far is Runner B from the starting line?
Answer: a.) I take a shoe size 12
b.) Runner B is 35 m from starting line
Step-by-step explanation:
a) The variable h (height) is in inches, so, first, transform feet in inches:
1 ft = 12 in
5ft = 5.12 = 60 in
My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70
To determine my shoe size:
[tex]s=\frac{1}{10}(70)+5[/tex]
s = 12
For me, who is 5ft 10in tall, my shoe size is 12.
b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:
[tex]x=x_{0}+v.t[/tex]
where
x₀ is initial position
v is speed
t is time
Replacing and solving:
x = 10 + 2.5t
x = 10 + 2.5(10)
x = 35
After 10s, Runner B is 35 meters ahead of the starting line
GCF And LCM of 24, 36, 45
Answer:
Step-by-step explanation:
First lets prime factorize each number
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
45 = 3 x 3 x 5
GCF = 3 (3 is the only common prime number factor in the 3 numbers)
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 24 x 3 x 5
= 72 x 5
= 360
Happy to help :)
What did the priests do for the community? a. taught religion c. held mass b. had Indians put on plays d. all of the above Please select the best answer from the choices provided A B C D
Answer:
I'm pretty sure it's A but I could be wrong
Step-by-step explanation:
For every pound a company spends on advertising, it spends 43 pence on its website. Express
the amount spent on advertising to its website as a ratio in its simplest form.
Answer:
43:100
Step-by-step explanation:
this is the simplest form
Answer:
The answer is 100:43
Step-by-step explanation:
PLS HELP
Rita's cat, Pickle, spends 40 percent of his day napping. How many hours does Pickle spend asleep each day?
he spends 9.6 hours sleeping each day! plz mark me the brainliest!
Determine the x- and y- intercepts for the graph equation y = -8
a. x-intercept is (0, -8) No y-intercept
b. No x-intercept y-intercept is (0, -8)
c. x-intercept is ( x8, 0) NO y-intercept
d. NO x-intercept is ( -8,0)
Please select the best answer from the choices prov
Answer:
b. No x-intercept y-intercept is (0, -8)
Answer:b
Step-by-step explanation:
Find the average price of homes in the county you selected and use that as population mean prices to state a hypothesis about the data. Note that you already have a sample mean of your area, Use this to set up a hypothesis test. Develop a summary of the five-step hypothesis testing model.
Answer:
hello your question has some missing part attached below is the missing part
Average Price of home in my county= $580,400 Mean=640069.371428571 stand error= 20175.166257334
The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874
Critical t= confidence=95% sign= 5%
2.05183052
Answer :
First step : Confidence interval
Second step : Hypothesis test
Third step : perform a Test statistic
Fourth step : Reject null hypothesis
Fifth step : conclusion
Step-by-step explanation:
First step : Confidence interval
attached below
confidence interval ; ( 599068.13, 681069.87 )
Second step : Hypothesis test
attached below
Critical values of t = ± 2.032 ( from table )
Third step : perform a Test statistic
attached below
hence t = 2.958
Fourth step : Reject null hypothesis
we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )
Fifth step : conclusion
Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .
Is the result statistically significant? Explain your answer.What does a mean difference of zero between the two groups indicate?
Answer:
Statistically significant means a result is unlikely due to chance. The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users
Answer:
The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users
Joe takes 6 hours to water the plants in his garden. When Joe works with his brother Jack, they take 4 hours
to water the plants in the garden. How long (in hour) would it take jack alone to water the plants in the
garden?
Answer:
2hours
Step-by-step explanation:
A cookie recipe that yields 48 cookies calls for 2 cups of flour. How much flour would be needed for a cookie recipe that yields 144 cookies? help asap!!!!! :(
Answer: 6 cups
Step-by-step explanation:
You need to find a unit rate...
48/2= 1 cup for 24 cookies (unit rate)
144/24=6 so you need to multiply 1 and 24 each by 6
1*6=6
24*6
to get...
6 cups for 144 cookies
x-2y= 1 3x -6y =3 solve this by using the substitution method
Answer:
im pretty sure its infinite solutions
Step-by-step explanation:
give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
I GIVEEEEE BRAIMLILSTER
Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}[/tex]
Step-by-step explanation:According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .
[tex]\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours } [/tex]
Hence it will cover 300 miles in 5 hours .Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases
Which statement about 4 + 2x is true?
Answer:
What statements, the statements aren't listed in the question?
Step-by-step explanation:
please awnser use images for question
Answer:
coordinate points
Step-by-step explanation:
variables: a symbol for a value we don't know yet. ex: x or y
numbers: I hope you know what they are cuz i dunno how to describe it ex: 2
coordinate points: a set of numbers that show position on a graph ex: (2,4)
operations: adding, subtracting, multiplying, dividing
4x+20 3x
determine the value of x
Step-by-step explanation:
[tex]4x + 20 = 3x \\ x = - 20[/tex]
-20 is the right answer.Determine if the following conditional statement is true or false,
alf B is between A and C, then AB + BC = AC
b.ITB is between A and C, then AB = BC,
✓
c. If AB = BC, then B is a midpoint,
Answer:AlF3
Step-by-step explanation:
PLEASE HELP ME!!!! PLEASE PLEASE!!! 40 POINTS a rectangular toy box has a length of x + 1 feet a width of 2x - 5 feet if the volume is 90 cubic feet what are the dimensions of the toy box
Answer:
the dimensions of the toy box:
Step-by-step explanation:
x+1=2x
2x-5
90
like terms;
- crossing over becomes + and vice versa
soo 2x-2x +90-5
2x^2 cancels it self out leaving 90-5
=85.
help y'all i need it badly
Answer:
In other words, the slope of the line tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on.
Step-by-step explanation:
Hope this helps
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
Need help ASAP 25 points
Answer:
B and F
Step-by-step explanation:
(6-11)^2 =
6/11 x 6/11
6^2/11^2
36/121
The answers are B, E and F
5-x=3
Work out the value of 3x^2
Answer:
12
Step-by-step explanation:
[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]
I need help ASAP plz help
Answer:
8:4
7:3
Step-by-step explanation:
What is 2 divided by 3/4
Answer:
1/2
Step-by-step explanation:
2 / (3/4) = 1/2 * 3/4
= 3/6
= 1/2
Answer:2.6 with the 6 repeating
or 2.66666666667
Step-by-step explanation:
i am fast with a calculator.