write an equation that describes the sequence below. use n to represent the position of a term in the sequence
Although part of your question is missing, you might be referring to this full question: Write an expression that describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. –1, 0, 1, 2, ...
The expression that describes the given sequence is: aₙ = –2 + n
This is an arithmetic sequence. Arithmetic sequence is a sequence of numbers in which every term (except the first term) is provided by adding a constant number to the previous term.
What is the formula used for arithmetic sequence?An arithmetic sequence can be defined by an explicit formula in which aₙ = d (n – 1) + c, where d is the common difference between consecutive terms, and c = a₁.
In this case, the given sequence is –1, 0, 1, 2, ...
This is an arithmetic sequence with common difference.
Because of:
0 – (–1) = 1
1 – 0 = 1
2 – 1 = 1 …
Then, a₁ = –1
Now, substitute the value of a₁ = –1, d = 1 into the formula.
aₙ = d (n – 1) + c
aₙ = 1 (n – 1) + (–1)
aₙ = n + (–2)
aₙ = –2 + n
Hence, the expression that describes the given sequence is: aₙ = –2 + n.
Learn more about arithmetic sequence at: https://brainly.com/question/15412619
#SPJ4
A class consists of 20 women and 31 men. If a student is randomly selected, what is the probability that the student is a man?
In a class consisting of 20 women and 31 men, If a student is randomly selected, the probability that the student is a man is 31/51.
What is probability?Probability can be described as the measure of the likelihood that a particular event will occur it should be noted that in most cases those events cannot be predicted by all certainty.
From the question, the total number of the student = 20 women + 31 men = 51
Then the probability that the student is a man= 31/51
Read more about probability at:
https://brainly.com/question/24756209
#SPJ1
whatcis 626362737287387287373 times 77474747743874837847348734463763786837
The result of 626362737287387287373 times 77474747743874837847348734463763786837 represented in scientific notation is 4.80498727057566113882339366151788673587 × 10⁹⁵.
The number you provided in your question can be represented in scientific notation. Scientific notation is a way of expressing numbers in a compact form that is especially useful for very large or very small numbers. The number you provided in your question can be represented in scientific notation as:
7.7474747743874837847348734463763786837 × 10⁷⁷
And 626362737287387287373 can be represented as:
6.26362737287387287373 × 10¹⁸
The product of these two numbers can be calculated as follows:
(7.7474747743874837847348734463763786837 × 10⁷⁷) × (6.26362737287387287373 × 10¹⁸) =
= (7.7474747743874837847348734463763786837 × 6.26362737287387287373) × (10⁷⁷ × 10¹⁸) =
= 48.0498727057566113882339366151788673587 x 10⁹⁵
So, the result of 626362737287387287373 times 77474747743874837847348734463763786837 in scientific notation is:
4.80498727057566113882339366151788673587 × 10⁹⁵
To know more about scientific notation visit :
https://brainly.com/question/13351372
#SPJ1
Determine if the two triangles are congruent. If they are, state how you know.
A.
AAS
B.
ASA
C.
SSS
D.
SAS
Answer:
not congruent
Step-by-step explanation
only one side has a 90 degree angle
Solve the system of equations
Y = 4x - 11
Y = x + 13
x = ??????
Y = ??????
Please tell me what Y and X are first..
What is double fifteen point 5
Answer: 31
Step-by-step explanation:
Solve the system of equations by graphing. y=-3/2x+6y=5x-7
The given system of equations is expressed as
y = - 3x/2 + 6
y = 5x - 7
We would input values for x into each equation and get corresponding y values.
For the first equation,
If x = 0, y = - 3 * 0/2 + 6 = 6
If x = 1, y = - 3 * 1/2 + 6 = 4.5
If x = 2, y = - 3 * 2/2 + 6 = 3
For the second equation,
If x = 0, y = 5 * 0 - 7 = - 7
If x = 1, y = 5 * 1 - 7 = - 2
If x = 2, y = -5 *2 - 7 = 3
These values are plotted on a graph as shown below. The coordinates of the point where both lines meet represesnt the solution of the equation.
At the point where they meet, x = 2, y = 3
Thus, the solution is (2, 3)
help this is for a big part of my grade :'(
Answer:
BCD are wrong
Step-by-step explanation:
7th grade math probability
Super easy
(Look at picture)
Answer:
2/6 chance of landing on 2 or 3
Step-by-step explanation:
what is the rule of this pattern
6,30,150,750
Answer:
a_1 = 6
a_n = 5 × a_n-1
Step-by-step explanation:
30/6 = 5
150/30 = 5
750/150 = 5
The rule is to start with 6 and multiply each number by 5 to get the next number.
a_1 = 6
a_n = 5 × a_n-1
Answer:
Step-by-step explanation:
To get the next term, you multiply the previous term by 5
tn = 5*t_(n -1)
a1 = 6
a2 = a1 * 5
a2 = 6 * 5
a2 = 30
a3 = 5*a2
a3 = 5 * 30
a3 = 150
and so one
Precious went shopping with her mom on Black Friday. She saw the sign to help shopper know the sale price of the item. The percentage off was missing from the sign. What
was the discount that they were getting?
A college offers shuttle service from Ball Hall or Lot A to its campus quad. Both shuttles first depart their locations at 9:25 A.M. They run from each location to campus and back at the intervals shown. When is the next time both shuttles will depart for campus at the same time? Explain.
Ball Hall: 30 minutes
Lot A: 20 minutes
Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.
How is the time determined?We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.
The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.
We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus. Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.
Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.
Learn more about the lowest common factor (LCF) at https://brainly.com/question/8393834
#SPJ1
Given the equation y=mx+b fine the valué of y if x =10, m = 2.5, and b =2
Answer:
27
Step-by-step explanation:
State the center point and radius of the circle. Write the equation of the circle in standard and general form.
The equation of the circle is (x -2)² + (y+1)² = 16.
What is an equation of a circle?
A circle is the collection of all points on a plane at a specific radius from a specific point (called the center.) The diameter of a circle is the length of a line that connects two locations on the circle and passes through its center. Assume that a point's coordinates on the shown circle are (x,y). The radius is r, and the center is at (h,k).
Here according to the graph, the center of the circle is (2,-1), and the radius of the circle = 2+2=4 unit.
Now using the circle equation then
(x -p)² + (y-q)² = r²
Where p = 2 , q = -1 and r = 4 then
(x -2)² + (y+1)² = 4²
(x -2)² + (y+1)² = 16
Hence, the equation of the circle is (x -2)² + (y+1)² = 16.
To learn more about the equation of a circle from the given link
https://brainly.com/question/1506955
#SPJ1
The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
Find the sum of money that amounts to Rs. 3450 in 40 months at the rate of 2% per annum
Answer:
ok so here is the ans i worked long for it like 15 min
plsssssssss mark branliest i beg u
Step-by-step explanation:
Is the vertex from if
y=-.29 (x) ^2 +8 what is factored form
Please help it’s due today!!!!
I will mark you brainless
Answer: Vertex is (0,8)
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
A
4
B
10
2
AABC - ATUV
Find x.
T
C
6
U
X = [?]
X
The unknown length of the similar figure is:
x = 15 units
How to find the unknown length of the similar figure?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:
TV/AC = TU/AB
x/10 = 6/4
x/10 = 1.5
x = 10 * 1.5
x = 15 units
Learn more about similar figures on:
brainly.com/question/29492809
#SPJ1
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
What is the perimeter of a rectangle with a length of 11.25 inches and a
width of 8 inches?
Answer:
38.5 in
Step-by-step explanation:
11.25 in + 11.25 in + 8 in + 8 in
= 38.5 in
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 10%.
By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.
Answer:
Step-by-step explanation:
If the diameter increases by 10%,
new diameter = d+⅒ = 1.1d
also new radius = 0.55r
Height also increasesby 10%,
New height = h+⅒h = 1.1h
hence diameter of larger can =
π*(0.55)²*1.1= 1.0453
hence percentage change in volume
is 4.53% which can be rounded off to
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
For more questions on prime number
https://brainly.com/question/145452
#SPJ8
The function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building.
The height of the dome can be calculated using trigonometry and the Pythagorean theorem.
The function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building.
A dome is an architectural feature that is frequently found on buildings.
A dome is a curved or hemispherical roof that covers a circular or polygonal structure.
Domes have been a popular building feature since ancient times.
Domes can be seen on a variety of buildings, including government buildings, temples, palaces, and churches.
In mathematics, a function is a rule that links a set of inputs to a set of outputs.
A function can be thought of as a machine that takes inputs and generates outputs.
A function can be thought of as a process that generates a result from an input value.
The height of the dome on top of a building can be represented by a function called f(x), where f(x) is the height of the dome above the base of the building and x is the horizontal distance from the base of the dome to the point where the dome meets the building.
The height of the dome can be measured using a variety of methods.
One common method is to use a laser rangefinder.
This device emits a laser beam that is reflected off the surface of the dome.
The distance between the rangefinder and the dome can be measured using the laser beam.
The height of the dome can be calculated using the Pythagorean theorem.
The height of the dome can also be calculated using trigonometry.
This method requires the use of the sine, cosine, and tangent functions.
The height of the dome can be calculated using the sine function, which relates the opposite side of a right triangle to the hypotenuse.
The cosine function relates the adjacent side of a right triangle to the hypotenuse.
The tangent function relates the opposite side of a right triangle to the adjacent side.
The height of the dome can also be measured using a surveyor's transit.
This device is used to measure angles and distances.
The transit is placed on the ground and aimed at the top of the dome.
The angle between the transit and the ground is measured.
For similar question on trigonometry.
https://brainly.com/question/24349828
#SPJ11
What is the answer plz?
Answer:
A
Step-by-step explanation:
Answer:
Easy B
Step-by-step explanation: srry If It's Wrong
Consider a linear regression situation with a quantitative response variable Y, a quantitative explanatory variable X, and one categorical explanatory variable with 3 levels. Three indicator variables A1, A2 and A3 are defined, with Ak = 1 if the individual is from level k, and O otherwise (for k=1,2,3). To allow different slopes (for the relationship between X and Y) for each level of the categorical variable, which of the following terms need to be included in the model in addition to Bo + B1X + 8? O A1, A2, and A3. O Aj and A2, but not A3. O A X, A2X, and A3X. O AjX and A2 X, but not A3X.
Include all three indicator variables (A1, A2, and A3) in the model
To allow different slopes in the relationship between X and Y for each level of the categorical variable, the model should include terms A1X and A2X in A1 and A2 respectively. For example, the model can be expressed as:
Bo + B1X + B2A1X + B3A2X + B4A3
where B2 and B3 represent the slope of the relationship between X and Y for people at levels 1 and 2 of the categorical variable, respectively. represent. The value of X remains constant.
Include all three indicator variables (A1, A2, and A3) in the model. This allows to compare the effect of a given level of a categorical variable on the response variable while keeping the value of X constant. For example, if you include only A1 and A2 in your model, you cannot compare the effects of level 3 of the categorical variables on the response.
Read more about this on brainly.com/question/20340896
#SPJ4
I don’t understand stand this can somebody please help me
Answer:
C
Step-by-step explanation:
The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.
So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.
The center is at (5,-1)
that means that x will be written as (x - 5)
And y will be written as (y + 1)
Note: the signs of the center always change to the opposite of what they were.
The answer is (x - 5)^2 + (y + 1)^2 = 49
IR = V (solve for R) *
Answer:
R = \(\frac{V}{I}\)
Step-by-step explanation:
IR = V ( isolate R by dividing both sides by I )
R = \(\frac{V}{I}\)
if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
For more questions on intersection
https://brainly.com/question/30429663
#SPJ8
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
For more questions on Division .
https://brainly.com/question/30340100
#SPJ8