Write a function to describe each arithmetic sequence
10, 14, 18, 22
Answer:
The function that describes the arithmetic sequence is A(n) = 4n + 6
Step-by-step explanation:
The formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first term of the sequenced is the common difference between each 2 consecutive termsn is the position of the number∵ The terms of the sequence area 10, 14, 18, 22
∵ The first term is 10
∴ a = 10
∵ 14 - 10 = 4
∵ 18 - 14 = 4
∵ 22 - 18 = 4
∴ The common difference is 4
∴ d = 4
→ Substitute them in the formula above
∵ a[tex]_{n}[/tex] = 10 + (n - 1)4
∴ a[tex]_{n}[/tex] = 10 + n(4) - 1(4)
∴ a[tex]_{n}[/tex] = 10 + 4n - 4
→ Add the like terms
∵ a[tex]_{n}[/tex] = 4n + (10 - 4)
∴ a[tex]_{n}[/tex] = 4n + 6
→ Write it in the form of the function A(n)
∴ A(n) = 4n + 6
∴ The function that describes the arithmetic sequence is A(n) = 4n + 6
Does anyone know the answer?
Answer:
D
Step-by-step explanation:
The start of the graph is when her first got the used trust, so when he first gets it he has 4000 miles and he uses more depending on the months. Hope this helped.
Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary
Answer:
40 degrees
Step-by-step explanation:
360/9=40
The solution is 40°
The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°
What is the sum of an exterior angle of a polygon?
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line
Sum of exterior angles of a polygon = 360°
Measure of each exterior angle = 360° / N
where N is the number of sides
Given data ,
Let the measure of each exterior angle be = A
Let the number of sides of the polygon be = N
Now , the polygon is a nonagon
So , the number of sides N = 9
Now , The sum of exterior angles of a polygon is 360°
So ,
The measure of each exterior angle is given by the equation 360° / N where N is the number of sides
Substitute the value for N in the equation , we get
The measure of each exterior angle = 360°/9
The measure of each exterior angle = 40°
Therefore , the value of A is 40°
Hence , the measure of each exterior angle is 40°
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PLEASE HELP ASAP. Find x.
Answer:
2.98
Step-by-step explanation:
Answer:
x = 2.26
Step-by-step explanation:
At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?
Answer:
25(b) + 4 = 129
Step-by-step explanation:
b=5
25(5) + 4=129
A serving of walnuts is 2/3 of a cup. How many servings are there in a 5 1/3-cup bag of walnuts?
Answer:
8 servings.
Step-by-step explanation:
The answer is 8 because 2/3 multiplied by 8 or 8/1 equals 16/3 and 16/3 simplified is 5 1/3
What is the Surface area for a rectangular prism that has the measurements of 2, 12, and 6?
Answer:
216
Step-by-step explanation:
A=2(wl+hl+hw)=2·(12·2+6·2+6·12)=216
Answer: A=216
Step-by-step explanation:
so very sorry if it is not right but, I looked at it and that's what showed up
Write a conjecture that describes the pattern below.
3, 9, 27, 81...
Answer:
3 times 3 is 9
9 times 3 is 27
27 times 3 is 81
Step-by-step explanation:
Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12
0 yes or no
1 yes or no
2 yes or no
3 yes or no
can you answer all 4 of please
1.) No
2.) No
3.) Yes
4.) Yes.
Mrs. Villa bought 2 packages of buttons. Each package had a different number of buttons. The table lists the number of buttons of each color in each package.
Answer:
B
Step-by-step explanation:
By applying basic formula of probability we got that statement "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True
What is probability ?Probability means chances of an event to occur .
Probability = favourable outcome /the total number of possible outcomes.
Total button in package L= 50
Total button in package M= 30
(a)
Probability of selecting green or black button from package L= (8+7)/50
=15/50=3/10
Probability of selecting red button from package M=9/30 = 3/10
Hence statement is true
(b)
Probability of selecting black button from package L= 7/50
Probability of selecting black button from package L=8/50
Hence statement is false
(c)
Probability of selecting red button from package L=12/50=6/25
Probability of selecting green button from package M=6/30=1/5
Hence statement is false
(d) Probability of selecting yellow button from package L=10/50=1/5
Probability of selecting yellow or green button from package M=9/30=3/10
Hence statement is false .
By applying basic formula of probability we got that statement "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True .
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3x + 2 = 11 what is x?
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
Answer:
x=3
Step-by-step explanation:
3x+2=11
3x=11-2
3x=9
x=9/3
x=3
..................................
......
What is $25.49 marked down 45% please help
Answer: $14.02
Step-by-step explanation:
Marked down by 45% means it will have a 45% percent discount.
Subtract 45% from 100% then multiply it by the amount .
100% - 45% = 55%
55% * 25.49 = 14.0195 Round it to the nearest hundredth to convert it to money.
14.0195 = 14.02
what is the slope of 6x + y = 60
Answer:
I believe the slope is -6
Step-by-step explanation:
You rearrange the equation to get y by itself
y = 60-6x
then you put the equation in slope intercept form
y = -6x+60
meaning -6 (m) is the slope
Gridded Response A basketball team scored 8 points more in its second game
than in its first. In its third game, the team scored 42 points. The total number of
points scored in the three games was more than 150. What is the least number of
points the team might have scored in its second game?
I need help!!!!
Answer:
51 points
Step-by-step explanation:
x+x+8+42>150
2x+50>150
2x>100
x>50
So, the least number is 51 which satisfies the inequality
Hope this helps plz hit the crown :D
total of 640 tickets were sold for the school play. They were either adult tickets or student tickets. There were 60 fewer student tickets sold than adult tickets.
w many adult tickets were sold?
380 adult tickets.
640 divided into the sub categories of student and adults would be 320. at this point you don't even have to do any of the math for students because you already know there would be 60 less student tickets so you can just add the 60 to 320 for adults. So 380
Solve this math problem first you get a free crown!
13/19 - (-1/9)
A. -12/19
B. -14/19
C. 14/19
D. 12/19
Answer:
C. 14/19
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Could I have crown...? Trying to level up....
I have absolutely no clue what I’m doing here please help
Answer:
Well you have to just do the thing
Step-by-step explanation:
Because of how A intersects with y7
Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60%, percent of the profit because the lemonade stand was his idea. They made a profit of 25$.
How much money did Matthew make?
Answer:
15 dollars
Step-by-step explanation:
Answer:He made $15
Step-by-step explanation:
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME
Answer:
with what doe like if you need help you need to say
Answer:
theres no attatchment lol
Step-by-step explanation:
In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?
Answer:
PA = 20 units
NL = 20 units
Step-by-step explanation:
Property of a rectangle,
"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"
By using this property,
PT = TL
(x + 3) = (3x - 11)
3x - x = 11 + 3
2x = 14
x = 7
Length of PT = (x + 3) = 10
Length pf PA = 2(PT) = 20 units
Length of NL = PA = 20 units
» Which pair of numbers has an LCM of 60?
2 and 12
5 and 12
6 and 12
3 and 12
Answer: 5 and 12
Step-by-step explanation:
2 and 12 is not it because 12 can be divided by 2 meaning that the LCM of those two numbers will be 12.
6 and 12 is not it because 12 can also be divided by 6 meaning that the LCM of 6 and 12 is also 12.
3 and 12 is also the same, 12 can be divided by 3 so their LCM will be 12.
With 5 and 12, 12 is not divisible by 5 so you will have to find the multiples of 5 and 12 and it will eventually be 60.
Multiples of 5: 5, 10,15,20,25,30,35,40,45,50,55,60,65
Multiples of 12: 12, 24, 36, 48, 60, 72
As it appears in both multiples, 60 is the least number that appears in both multiples so the LCM of 5 and 12 is 60.
Answer:
It's 5 and 12
Step-by-step explanation:
Who wants a lot of points
then answer this
C=
5
9
(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Write in slope intercept form given two points (1,2) and (-2,5)
here is this question below
Answer:
10
Step-by-step explanation:
they are actually mutiplicating by 2
so 5x2=10
Answer:
10
Step-by-step explanation:
its all times 2
3x2=6
6x2=12
7x2=14
8x2=16
5x2=10
what is the answer to X - 8 < -2
Answer:
X>6
Step-by-step explanation:
X-8<-2
X<-2+8
X>6
because the sign changed from negative to positive, the inequality has to be flipped
The manager of a store orders bookcases that cost $16 and sells them for $20. What is the
mark-up percentage?
Answer:
25 percent
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
ndld
Which are correct statements regarding proofs? Select three options.
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven.
Answer:
A. a two-column proof consist of a list of statements and the reasons the statements are true.
B. a flowchart proof gives a visual representation of the sequence of steps without justification.
D. a two-column proof list only the given information and what is to be proven.
Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps. ^-^
The correct statements are:
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list of statements and the reasons the statements are true.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
What is a flowchart?A flowchart is a graphical representation of a process, algorithm, or system that uses symbols, shapes, and arrows to depict the various steps and their interconnections.
We have,
In a two-column proof, each statement is listed in one column, and the justification for the statement is listed in a separate column.
A flowchart proof also provides a visual representation of the sequence of steps, but it includes justifications for each step.
So,
The following statements are incorrect:
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A two-column proof lists only the given information and what is to be proven.
Thus,
The correct statements are:
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list of statements and the reasons the statements are true.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
Learn more about flowcharts here:
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30% of Mr. Ken's paycheck goes toward taxes. If he made $1800 on his last paycheck, how much money went towards his taxes
Answer:
$540
Step-by-step explanation:
$1800 x 30% = 540
Solve 6x+8+7x-9=90 this is pretty hard tbh
Answer:
x=7
Step-by-step explanation:
6x+8+7x-9=90
13x+8-9=90
13x-1=90
add 1 to both sides
= 13x=91
divide both sides by 13
= x=7