The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given below.
3, 5, 7, 9, 11, ...
The first term is 3. And the common difference is given as,
d = 5 - 3
d = 2
Then the position in the sequence for the given sequence will be given as,
aₙ = 3 + (n - 1) · 2
aₙ = 3 + 2n - 2
aₙ = 1 + 2n
The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ1
simplify any fractions
Answer:4/4 is the answer
suppose the time it takes a nine-year old to eat a donut is uniformly distributed between 0.5 and 4 minutes, inclusive. what is the probability that a nine year old will take longer than 3 minutes to eat a donut? ( round to three decimal places)
The probability that a nine year old will take longer than 3 minutes to eat a donut is 0.667 .
Given that the time taken by 09 years old,
Consider that it takes 0.5 to 4 minutes inclusive for a 9-year-old to eat a donut.
Let X = Time
minutes, how long it takes a 9 year old to eat a donut.
Then X: U(0.5, 4).
The Probability Distribution Function:
P(X) = 1/4 - 0.5 = 0.2857
Cumulative Function would be:
F(x) = x -0.5 /0.5
The probability that a randomly selected 9-year-old child will eat a donut in at least 2 minutes is
P(X ≥ 2) = 1 -F(2)
⇒ 1 - 2 -0.5/3.5
⇒ 0.8571
b) The probability that another her 9-year-old child will eat a donut in 2 minutes or more if she has eaten a donut in 3.0 minutes or more.
P(x >2 /x> 3.0)
= 0.571429/ 0.857143
= 0.6667
Learn more about Probability:
https://brainly.com/question/13957582
#SPJ4
In ΔFGH, m∠F = 54°, m∠G = °, and m∠H = °.
The complete statement is:
In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = 36°
How to complete the missing blank?From the question, we have the following parameters that can be used in our computation:
Triangle = ΔFGH, The measure of m∠F = 54°The measure of m∠G = 90°The sum of angles in a triangle is 180°
So, we have the following representation
m∠F + m∠G + m∠H = 180°
Substitute the known values in the above equation, so, we have the following representation
54 + 90 + m∠H = 180°
Evaluate the sum in the above equation
This gives
144 + m∠H = 180°
Collect the like terms
m∠H = 180 - 144°
So, we have
m∠H = 36°
Hence, the value that completes the blank is 36°
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
Complete question
Fill in the gap
In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = °
when studying the relationship between test performance and length of sleep (the night before), which type of measurement is being examined?
When studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.
What is measure of association?
Measure of association in statistics any of various factors or coefficient used to quantity a relationship between two or more variables.
Measure of association are used in various fields of research but are specially common in the areas of Epidermiology and Psycology, where they frequently are used to quantity relationships between exposures and behaviours.
Here length of sleeping and test performance is behavioural based relationship. It can best studied through measure of association.
Hence, when studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.
To know more about measure of association, click on the link
https://brainly.com/question/29576201
#SPJ4
Lines l and m are parallel.
Which statement is always true?
Group of answer choices
A 90° rotation will map line l onto line m.
Line l can be reflected over a horizontal line to map onto line m.
Line l can be reflected over a vertical line to map onto line m.
Line l can be translated to map onto line m.
Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.
Do you have any explanations as to why the lines L and m are parallel?L and m are not parallel because the sum of the co-interior angles on the same side of the transversal does not equal 180 degrees.In the event when two lines, l and m, are in the same plane but do not cross, they are said to be parallel.We are aware that the equivalent angles are equal if they are parallel and a transversal is drawn to intersect them both. Accordingly, these are x and y. As a result, we can conclude that x and y are equivalent if l and m are parallel.If two lines, l and m, are in the same plane and do not cross one another, then they are parallel.To learn more about Lines refer to:
https://brainly.com/question/26961508
#SPJ1
Henry is standing 4 feet from the base of a tree in his yard. The tree is 14 feet tall. What is the angle of elevation the point on the ground where he is standing, to the top of the tree? Round to the nearest tenth?
Answer:
Here
Step-by-step explanation:
54.5°
Answer:
63.4
Step-by-step explanation:
First, find the height of the tree relative to Henry by subtracting his height from the tree's height: 14 feet - 4 feet = <<14-4=10>>10 feet
Next, use the formula for finding the angle of elevation: tan(angle) = opposite side / adjacent side
Since the opposite side is the tree's height relative to Henry and the adjacent side is the distance between Henry and the tree, plug in the values: tan(angle) = 10 feet / 4 feet
Solve for the angle: tan(angle) = 2.5
Since the inverse tangent function is used to find the angle given the tangent value, find the inverse tangent of 2.5: angle = tan^-1(2.5) = 63.4 degrees
Round to the nearest tenth: 63.4 degrees rounded to the nearest tenth is 63.4 degrees. Answer: {63.4}.
I need this quickkk pleaseeeee
An airplane is preparing to land at an airport. It is 35,400 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same airport,another airplane is taking off and will ascend at the rate of 2,600 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
They will be at the same altitude in minutes, when their altitude will be feet.
The time at which the planes are at the same height is given as 6 minutes.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The expression for the height of the two airplanes in terms of time t is given as,
For the first airplane it is 35400 - 3300t,
And, for the second it is 2600t.
When, the two airplanes are at the same height the following equation can be written,
35400 - 3300t = 2600t
=> 35400 = 3300t + 2600t
=> 5900t = 35400
=> t = 6
Hence, both the planes are at the same height after 6 minutes.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ1
Which of the following problems would NOT have a solution?
- Six pizzas are shared equally among three people, and you want to know how much each person gets.
- Three pizzas are shared equally among two people, and you want to know how much each person gets.
- Zero pizzas are shared equally among three people, and you want to know how much each person gets.
- Two pizzas are shared equally among zero people, and you want to know how much each person gets.
By using the concept of division, it can be calculated that
The statement given in the fourth option
Two pizzas are shared equally among zero people do not have a solution
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This is a word problem on division.
For the first option
Number of pizzas = 6
Number of person = 3
Number of pizzas each person get = 6 [tex]\div[/tex] 3 = 2
This problem has a solution.
For the second option
Number of pizzas = 3
Number of person = 2
Number of pizzas each person get = 3 [tex]\div[/tex] 2 = 1.5
This problem has a solution.
For the third option
Number of pizzas = 0
Number of person = 3
Number of pizzas each person get = 0 [tex]\div[/tex] 3 = 0
This problem has a solution.
For the fourth option
Number of pizzas = 2
Number of person = 0
Number of pizzas each person get = 2 [tex]\div[/tex] 0
Now anything divided by zero is not possible
This problem do not have a solution.
To learn more about division, refer to the link:
https://brainly.com/question/25289437
#SPJ1
During August, the average cost of gasoline was $3.22 per gallon. During September, the average cost of gasoline was $3.67 per gallon. Suppose the cost of gasoline is expected to rise by the same percentage with each passing month. Select the response that is true.
I need help simplifying this problem
Answer: Use math x way it is very helpful for problems like these. The answer is attached.
Step-by-step explanation:
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write "not enough information." Explain your answer.
A. Triangle AEB is congrent to Triangle CDB by Side - Angle Side.
B. Triangle AEB is congrent to Traingle CDB by Side- Side - Side.
C. The two triangles are not necessarily congruent. There is not enough information.
The triangles ΔAEB and ΔCDB are congruent as per SSS criteria. The correct option is (B).
What are the criteria for congruent triangles?Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.
The relation between the two triangles ΔAEB and ΔCDB as per the given information can be shown as follows,
In ΔAEB and ΔCDB,
AE = CB
AB = CD
EB = BD
Since all the three corresponding sides of the triangles are equal, the triangles ΔAEB ≅ ΔCDB by SSS criteria.
Hence, the two triangles are congruent by SSS criteria.
To know more about congruent triangles click on,
https://brainly.com/question/22062407
#SPJ1
Find the area of the following
rhombus:
2m
13 m
A = [?] m²
Answer
[tex]A=52m^{2}[/tex]
7. If m= 100 what is the value of q?
q = 21.344 m
Answer:
2134.4
Step-by-step explanation:
You are multiplying 21.344 by 100, which means all you have to do is move the decimal point towards the left 2 to get your answer
Answer: 2134.4
Step-by-step explanation:
The reason it is this is that when 100 times 21.344 you have to take the two zeros and push the two next numbers after the decimal and put them in front of the decimal.
12-3/4(8f-5/3+4f+2/3)
on february 13, a jewelry store sells an engagement ring with a sales price of $10,000 to a nervous young man, who pays in cash. the sale is subject to a 9.75 percent sales tax.
The total cost of the engagement ring is $10,975. The sales tax is calculated as follows: $10,000 x 0.0975 = $975.
Why does sales tax matter?A sales tax is a type of consumption tax that local or state governments apply on the sale of products or services that consumers pay for when they make a purchase. When a company has a link to the jurisdiction in some way, it is responsible for collecting sales tax and remitting payment to the government.
How is sales tax collected?It is only imposed and paid when the taxable supply is produced while engaging in a "taxable activity". Taxes should be based on the value of the goods or service. Because of the way the sales tax is structured, consumers are required to bear the majority of the tax burden. Because sales tax is an indirect tax, this is true.
To know more about sales tax visit:
https://brainly.com/question/29442509
#SPJ4
A random variable x has a mean of 120 and a standard deviation of 15. A random variable y has a mean of 100 and a standard deviation of 9. If x and y are independent, approximately what is the standard deviation of x - y ?.
The standard deviation of x - y is 12
X and Y are independent random variables
For random variable X, mean =120 and standard deviation =15
For random variable Y, mean =100 and standard deviation = 9
Let D be the difference of standard deviation of X and Y.
Variance can be defined as the square of standard deviation.
Hence, Variance of X = (standard deviation of X)2 = (15)2 = 225
And, variance of Y = (standard deviation of Y)2 = (9)2 = 81
SD(X - Y) = sqrt(SD(X)2 - SD(Y)2)
Hence, D = sqrt(225 - 81) = sqrt(14) = 12
Hence, the standard deviation of x - y is 12
To know more about standard deviation:
https://brainly.com/question/23907081
#SPJ4
A line that includes the point (0, -1) has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 1
Step-by-step explanation:
A line that includes the point (0, -1) has a slope of 1. What is its equation in
slope-intercept form?
slope-intercept form : y = mx + b where m is slope and b is the y-intercept.
you are give:
slope = 1
y-intercept = -1
y = mx + b
y = 1x + (-1)
y = x - 1
A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula
P
t
=
P
o
2
t
d
, where
P
o
is the original number of bacteria cells,
P
t
is the number after t hours, and d is the time taken to double the number.
It takes hours for the number of bacteria to increase to 300.
Answer:
Step-by-step explanation:
2345t
can somebody help me plsss
Answer:19/20
Step-by-step explanation:
Round the decimal to the nearest whole number. 246.13
Answer:
246
Step-by-step explanation:
To round the decimal, we need to look at the number in the tenths place. If it is less then 5, we round down. If it is greater or equal to 5, we round up. Since the number in the tenths place is 1, we round down, to 246.
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
Answer:
Combined like terms- 9xy3−13y4+x3y+3x4−8x2y2
Simplified- 3x4+x3y−8x2y2+9xy3−13y4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
lol
A train has equal number of seats in each carriage.
One carriage has 73 seats.
There are 876 seats on the train in total.
How many carriages does the train have?
The train has 12 carriages
Step-by-step explanation:
The total no. of seats =876
No. of seats per carriage =73
It is given that each carriage has equal seats
So,
Let the total no. of carriages be x
According to the given information,
[tex]73 \times x = 876[/tex]
[tex]x = 876 \div 73[/tex]
x = 12
Hence the number of carriages is 12
To know more about numbers,
https://brainly.com/question/11793415
Barry has a medical plan with a $1,000 deductible, 20% coinsurance, and a $5,000 coinsurance cap. His allowable medical expenses during the past year are $18,000. How much of this amount will he have to pay out of pocket?.
Based on his deductible and coinsurance cap, the amount that Barry will pay is $4,560.
Barry will pay x amount.
Barry will be responsible for covering the entire $1,200 deductible. The remaining costs will subsequently be split between him and the insurer in a ratio of 20% to 80%, although he will not be required to pay more than $5,000.
He will consequently pay the following total out of pocket:
= Deductible + ( 20% x (Medical expenses - deductible)
Solving gives:
= 1,200 + ( 20% x (18,000 - 1,200))
= $4,560
He will pay $4,560 in total.
Find out more on insurance payments at:
brainly.com/question/25973180
#SPJ4
Which of the following is not a key feature of the function h(x)?
A) The domain of h(x) is [0, ထ)
B) The range of h(x) is (-ထ, ထ)
C) The y-intercept of h(x) is (0, -5)
D) The end behavior of h(x) is as x -> ထ, h(x) -> -ထ
The options that is not a key feature of the piecewise function h(x), defined as x² - 5 for 0 ≤ x ≤ 3, and -log₃x for x > 3 is the option;
The range of h(x) is (-∞, ∞)What is a piecewise function?A piecewise function is a function that maps the input variable with a different definition, depending on the interval of the input variable.
The piecewise function is presented as follows;
h(x) = x² - 5 for 0 ≤ x ≤ 3
h(x) = log₃x for x > 3
The domain of the function, f(x) which is the set of the x-values of the function is therefore; 0 ≤ x ≤ 3, and x > 3
Therefore; The domain of the function is 0 ≤ x < ∞, which in interval notation is; [0, ∞)
The range of the function x² - 5 is -5 ≤ x ≤ 4
The range of the function -log₃x, where x > 3 is -∞ < h(x) < -1
The range in interval notation is therefore; (-∞, 4]
Therefore, the range of h(x) is not (-∞, ∞)
The y-intercept is the point the graph intersects the y-axis, and where x is zero, which indicates;
The y-intercept is the point h(0) = 0³ - 5 = -5
Therefore, the y-intercept is the point (0, -5)
The end behavior of the function, h(x) is as x → ∞, -log₃x → -∞
Therefore, the option that is not a key feature of the function f(x) is the option; The range of h(x) is (-∞, ∞)
Learn more about the domain and range of a function here:
https://brainly.com/question/17150852
#SPJ1
What is 5/4 X 5/3 X 5/6 = also how many times can 5 go into the answer
I need the 500th term of the 7 count sequence 24,31,38,45,52
The 500th term of the 7 count sequence 24,31,38,45,52 is 3517.
How to calculate the sequence?It should be noted that this is an arithmetic sequence. The formula is represented as:
a + (n - 1) d
where
a = first term
n = number of terms
d = common difference
Since the numbers are 24,31,38,45,52, the common difference is (3 - 25) = 7
The 500th term will be:
a + (n - 1) d
24 + (500 - 1) × 7
= 24 + (499 × 7)
= 24 + 3493
= 3517
Learn more about arithmetic sequence on:
brainly.com/question/6561461
#SPJ1
Given f(x)=−3x−1, find f(−6
The Value of f(-6) is -19
What is Function?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
Function: f(x) = 3x - 1
To Find the value of f(-6)
We need to replace x with -6
f(-6) = 3*(-6) - 1
f(-6) = -18 - 1
f(-6) = -19
To learn more about Functions from the given link
https://brainly.com/question/22340031
#SPJ1
Please help me. A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4
small blue marbles.
In how many ways can you choose one red marble or one small marble?
Number of ways to choose one red marble or one small marble will be
1,961,256.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.
Now,
Since, A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.
Hence, Total number of marbles = 8 + 6 + 5 + 4
= 23
Number of red marbles = 8 + 5 = 13
And, Number of small marbles = 5 + 4 = 9
Thus, Number of ways to choose one red marble or one small marble is,
⇒ [tex]^{23} C_{13} + ^{23} C_{9}[/tex]
⇒ 23! / 13! 10! + 23! / 9! 14!
⇒ 1,144,066 + 817,190
⇒ 1,961,256
Thus, There are 1,961,256 ways to choose one red marble or one small marble.
Learn more about the combination visit:
https://brainly.com/question/11732255
#SPJ1
arturo can have pizza for dinner on any two of the next six days. how many different ways can he select the days on which to have pizza?
the 15 different ways can he select the days on which to have pizza
What is combination?
A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components
Arturo can have pizza for dinner on any two of the next six days.
he select the days on which to have pizza
So the number of ways c(6 2)
= [tex]\frac{6!}{4!2!}[/tex]
=[tex]\frac{30}{2}[/tex]
=15 ways
Hence the 15 different ways can he select the days on which to have pizza.
Learn more about combination, by the following link.
https://brainly.com/question/11732255
#SPJ4
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to?
The area of the circle is more usefull than circumfrence of the circle.
Given that,
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to is to be discuss.
Area of circle is given by the pie times square of radius.
Area of circle = πr^2
here,
The circumference of the circle gives the information of the periferal boundry,
while the area of the circle gives the information about the region of grass the horse can access
Thus, the area of the circle is more usefull than circumfrence of the circle.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1