Answer:
An arithmetic sequence is an ordered set of numbers where the difference between each consecutive term is the same (this is called the "common difference").
The formula for each term in an arithmetic sequence is:
[tex]\sf a_n=a+(n-1)d[/tex]
where:
a is the first term in the sequenced is the common difference between consecutive termsn is the position of the term in the sequenceExample
Sequence: 3, 10, 17, 24, 31, ...
The first term in the sequence is 3, therefore a = 3
The common difference can be found by subtracting one term from the next: d = 10 - 3 = 7
Substituting these values into the equation for the nth term:
[tex]\implies \sf a_n=3+(n-1)7[/tex]
[tex]\implies \sf a_n=3+7n -7[/tex]
[tex]\implies \sf a_n=7n -4[/tex]
Therefore, if we want to find the 5th term of the sequence, simply input
n = 5 into the found equation:
[tex]\implies \sf a_5=7(5)-4=31[/tex]
Yes we can find terms
The formula is
a_n=a+(n-1)dWhere
a=first terma_n=nth termd=common differenceOn average, what value is expected for the f-ratio if the null hypothesis is true?.
The expected value of the f-ratio is the mean value
On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true
How to determine the expected value?From the question, we understand that the null hypothesis is true and the distribution is the F-ratio
The above scenario means that:
The variance of the top and the bottom ratio are the same
When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00
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PLEASE HELP MEEEE!!!!! 20 POINTS + BRAINLYEST!!!
(No links please)
If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?
A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground. How tall is the tree?
How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone?
Answer:
1) 46.64
2) 17.75
3) 414.69
Step-by-step explanation:
13^2 -5^2=sqrt2172=46.64
22^2-13^2=sqrt315=17.75
V=πr2h
11/3=π·62·11
11/3≈414.69
Number 19. Please!hurry!
Answer:
Step-by-step explanation:
Find the surface area of the prism.
HEEEELP PLEASE!!!!!
Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).
From the image, we can tell that the faces of the prism are:
ABFG HDCE FBCE GADH GFEH ABCD
Part II: Recalling the surface area formulaSurface area formula:
[tex]\text{Surface area = Sum of the area of it's faces}[/tex]
The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)
[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]
Part III: Determining the surface area of the prismIf we look at the prism carefully, we can tell that:
ABFG = DCEH
GADH = FBCE
GFEH = ABCD
Therefore, the new equation is:
[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]
If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.
[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]
The area of a parallelogram is the base multiplied by the height.
[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]
Finally, simplify the equation to determine the surface area.
[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]
[tex]\implies \text{SA} = 32 + 20 + 16[/tex]
[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]
A plane took 3. 55 hours to finish a journey. If the distance of
the journey was 2840 miles, at what average speed did the
plane travel?
mph
Answer:
800 mph
Step-by-step explanation:
Use the formula: Distance/Time=Speed
Distance: 2840 miles
Time: 3.55 hours
Now Divide, giving you the speed of 800 mph
Hope this helps!
SOLVE CORRECTLY FOR BRAINLIEST! QUESTION DISPLAYED BELOW:
Answer:
2
Step-by-step explanation:
We are given:
t = -11
u = 11
v = 1
Plug in the values to (tv-u) / tv:
((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2
PLS HELP FAST!!
What is the mean of this data set?
3, 5, 10, 11, 15
Answer:
8.8
Step-by-step explanation:
To find mean, add all of the numbers together, then divide that sum by how many numbers there are.
3 + 5 + 10 + 11 + 15 = 44
44 ÷ 5 = 8.8
hope this helps!
Step-by-step explanation:
3+5+10+11+15÷5=
44 divided by 5 which gives 8.4
therefore that is the mean hope this helps
Describe the pattern in the sequence. Find the next two terms of the difference.
-2, -5, -8, -11, ...
Answer:
-14,-17
I hope this is useful
How many 15° angles are in a circle?
Enter your answer in the box.
angles
Answer:
24
Step-by-step explanation:
a circle is 360
we can divide 360 by 15
360 divided by 15 =
24
Marnie works at the guest check-in desk during nights at the Hilton Hotel in Portland, OR. She has the ability to determine how many hours she works each week. The hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. How will Marnie respond
If the hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. Her respond is: She will increase her work hours.
What is wages?Wages can simply be defined as the money earn per hour or money earn on a daily basis for work done.
Assuming her wages was increase from $14 per hour to $20 per hour. Marie will have to increase her work hours if the increase in wage of the amount of $20 is positive as this will enable are to earn more money .
Therefore Marnie will increase her work hours.
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1. On a certain TV station, there are 4 commercials during
every 30-minute period. How many minutes of TV do you
need to watch to have watched more than 10 commercials?
2018 30 31 SW
PLS HELP !!! I just dont understand im not smart-
Answer:
Let's first find the area of the rectangle/rectangle,
we can do this by combining their lengths as a whole
or
we can individually find their area.
Let's find the area of the individual shapes, upper rectangle;
(using the formula)
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = 27(24)
A = 648 square feet is the area of the upper rectangle.
Now, the lower rectangle:
A = l x w
Plug in what you know:-
A = 27(32)
A = 864 square feet is the area of the lower rectangle.
Now we find the area of the triangle beside;
(using the formula)
A = BH x 1/2
Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.
Plug in what you know:
A = BH x 1/2
A = 18(32) x 1/2
A = 576 x 1/2
A = 576/2
A = 288 square feet is the area of the triangle beside.
Add up all the areas we've gathered so far:
648 + 864 + 288
= 1,800 square feet is the area of the patio
Answer:
Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio
Step-by-step explanation:
Trent bought four pounds of deli turkey for $2.68 per pound. How much did he spend? $8.42
please help i been stuck on these qustions for a long time
Answer:
Step-by-step explanation:
At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $38, and 5 adult tickets and 2 child tickets cost $55. Which two equations can be used to determine the price of each ticket?
Answer:
for two adult and 4 children$38÷6
for five adult and two children
$55÷7
Step-by-step explanation:
they did not mansion that how much adult and children tickets cost so I thought their prizes are the same and I add the values of people and take money devide with the values of people togetherIk this isn’t a math question but I want to know how much this beanie boo is cause I’m planning on selling it
Step-by-step explanation:
That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites
What does this data mean in terms of likelihood for a person from a particular geographic area to be dairy tolerant
The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.
What is Dairy tolerance?This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.
From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.
Read more about Dairy tolerance here https://brainly.com/question/14475402
Find the base of a parallelogram with an area of 18 square inches and a
height of 2 inches.
Answer:
9 inches
Step-by-step explanation:
Formula: ( area of a parallelogram)
area = base × height
_______________
then
base = area/height
= 18/2
= 9
please answer this question
Answer:
e
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints.
let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )
[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
x - 1 = 6 ( add 1 to both sides )
x = 7
and
[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 2 = 4 ( subtract 2 from both sides )
y = 2
coordinates of C = (7, 2 )
Jenna bought 3 shirts for $62.25 if each shirt cost the same amount what is the cost of one shirt
Answer:
The cost of one shirt is $20.75.
Step-by-step explanation:
Total Cost/3 Shirts = The Cost of 1 Shirt
62.25/3 = 20.75
Use the given line of best fit to approximate the rate of change relative to the scatter plot below.
A.
-3/2 chores done/internet hour
B.
-3/4 chores done/internet hour
C.
-1/2 chores done/internet hour
D.
-1 chore done/internet hour
Answer: it’s a
Step-by-step explanation:
Answer:
its 1 chores per hour
Step-by-step explanation:
I did the study
what is the solution to the exponential equation (½)x = 32
Answer:
Step-by-step explanation:
log(1/2) (32) =x
What will be the coordinates of point A after a reflection across the x-axis?
A
(6,−2)
B
(6,−5)
C
(−1,5)
D
(−6,5)
Answer:
OPTION B
Step-by-step explanation:
(6,-5)
I HOPE IT HELPED YOU
URGENTLY NEEDING HELP!!!!
Answer:
(6,-1)
Step-by-step explanation:
it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).
not sure
need some help with the question in the image
Cheers
Find the volume of the following rectangular prism in terms of x, if the length is 4x + 0. 5, the width is 1/2 x, and the depth is x -2
The volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
Volume of a prismThe formula for calculating the volume of a prism is expressed as
V = lwh
l is the length
w is the width
h is the height
Given the following
l =4x + 0.5
w = 1/2x
h = x - 2
Find the volume
V(x) = (4x+ 0.5)(0.5x)(x - 2)
Hence the volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
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If x is a positive acute angle and cos x = 1/2, what is the value of sin 1/2 x?
A)1
B)2
C) square root 3/ 2
D)1/2
Mrs. Johnson bought 12 pound of ham and used it to make 3 sandwiches. She uses the same amount of ham on each sandwich. What fraction of a pound of ham is on each sandwich
The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b =[/tex] a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're specified that:
Total ham Mrs. Johnson bought = 12 poundsTotal sandwiches that she makes of that amount of ham = 312 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).
That means:
Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.
To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.
If we take 4 times a pound, then we get 4 pounds.
Thus, 4 of a pound = 4 pound
In fraction, we have: 4 pounds = 4/1 fraction of a pound.
Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound
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What is the image of ( 3 , − 2 ) after a reflection over the line y = x?
Answer:
(2,-3)
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and the signs are changed.
(-2, 3)
Solution:Remember, when you reflect a point over the line y=x, the x- and y-coordinates switch places.So if we had a point with the following coordinates: (4, 5) and we reflected it over the line y=x, then the coordinates of the point are (5, 4)Therefore, if we take a point (3,-2) and reflect it over the line y=x, then the coordinates of the point are now (-2, 3)Hope it helps.
Do comment if you have any query.
Find the Missing Numerator and Denominator
3/? x ?/4 = 9/20
PLEASE HELP I WILL MARK YOU AS BRAINLEST!
Answer:
missing denominator: 5
missing numerator: 3
Step-by-step explanation:
You know the product of fractions is formed by multiplying numerators and multiplying denominators.
[tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]
This gives rise to two equations:
3n = 9 ⇒ n = 3
4d = 20 ⇒ d = 5
The missing denominator is 5; the missing numerator is 3.
__
[tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]