For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
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Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
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Select the equivalent expression.
2
36
=?
-5
Y
Choose 1 answer:
36
A
10
y
312
B
5
y
312 . y10
Answer: C. 3¹² · y¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
When exponents are applied to exponents, multiply the exponents together.
Step-by-step explanation:
Given expression
(3⁶ / y⁻⁵)²
Expand parentheses
3⁶ˣ² / y⁽⁻⁵⁾ˣ²
SImplify by multiplication of exponents
3₁₂ / y⁻¹⁰
Convert the negative exponents to positive
[tex]\boxed{3^{12}*y^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The slot size limit for Fish A is from 28 to 32 inches. The minimum size limit for Fish B is 11 inches. Write the ranges of Fish A and Fish B in interval notation and in set-builder notation. Does the range for the Fish B seem reasonable? Explain.
Notations are used to specify the range of a function. The range of fish A is [28,32] while the range of fish B is [11,infinity).
Also, the range of fish B is not reasonable.
For fish A, we have:
[tex]Minimum = 28[/tex]
[tex]Maximum = 32[/tex]
For Fish B, we have:
[tex]Minimum = 11[/tex]
For fish A, the minimum and the maximum are inclusive. So, the range is:
[tex]Range= [Minimum, Maximum][/tex]
This gives:
[tex]A = [28,32][/tex]
For fish B, the minimum is known (and inclusive). The maximum is not known, so we represent the maximum with infinity.
So, the range is:
[tex]Range= [Minimum, Maximum)[/tex]
[tex]B = [11,\infty)[/tex]
The range of fish B is not reasonable because there is a limit to the size of fish a slot can take.
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Solve the equation.
7-4(2w + 1) = 9w-49+ w)
EEE.
W=
(Simplify your answer.)
[tex]7 - 4(2w + 1) = 9w - 49 + w \\ 7 - 8w - 4 = 10w - 49 \\ 10w + 8w = 7 - 4 + 49 \\ 18w = 52 \\ w = \frac{52}{18} \\ w= 2.88[/tex]
I hope I helped you^_^
Solve for s.
1.52(s + 3) − 2.61 = 9.55
s =
Answer:
s=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
s=5
Answer:
s = 5
Step-by-step explanation:
1.52(s + 3) − 2.61 = 9.55
solve the brackets first
1.52s + 4.56 − 2.61 = 9.55
1.52s + 1.95 = 9.55
1.52s = 9.55 - 1.95
1.52s = 7.6
s = 7.6 / 1.52
s = 5
Let's Cross-Check
1.52 (5 + 3) − 2.61
7.6 + 4.56 − 2.61
7.6 + 1.95
= 9.55
CROSS-CHECKED
1. Define Line, Line segment and Ray.
2. Define Complementary Angles.
3. Define Supplementary Angles.
4. Define Adjacent Angles.
5. Define Linear Pair
Answer:
A line is a straight path of points that has no beginning or end
A line segment is a portion of a line that has two endpoints
A ray is a portion of a line which has one endpoint and extends forever in one direction
Complementary angles are two angles whose sum adds up to 90 degrees
Supplementary angles are two angles that add up to 360 degrees
Tìm x
a) (x+3)²+(x-2)²=2x²
What is the value of 2% in Rs.50
If the number of 2 rupee notes is same as the number of 50 paise coins, how many - 18887… ... Value of 2 ruppee coin = x × 2 = 2x.
Answer:
Rs.1
Step-by-step explanation:
2% of Rs. 50
2
=---- ×50
100
=100/100
=1
Anybody can solve it ??
Answer:
Calculus can be arranged in 5040 different ways in which the letter C's do not come together.
Step-by-step explanation:
Please mark as brainliest
determine the coordinates of x-intercepts and y-intercepts
Answer:
Xin is when y=0
and
yin is when x=0
1. Here is an equation that represents a function: 72x +12y = 60. Select all the different equations that describe the same function: A. 120y + 720x = 600 B. y = 5 - 6x C. 2y + 12x = 10 D. y=5 + 6x E. x= 5/6 - y/6 F. 7x + 2y = 6 G. x = 5/6 + 5/6
Answer:
A B C
Step-by-step explanation:
A: you multiplied by 10
B: you divided by 12 and put -6x on the right.
C works. You divided by 6
D is wrong 6x should be minus
E is incorrect. You divided x by 72 You didn't do that to the others.
F is incorrect. I'm not sure what you did, but whatever it was wouldn't leave 7x.
G is wrong. Something happened to the y.
Answer:
consider the point A(-2,0) B(2,1) and C(1-3)
Step-by-step explanation:
determine if the triengle ABC is equilateral isoscles or scalence
1) a) The formula for simple interest is:
b) Rearrange this formula to find:
i) Time:
ii) The interest rate:
iii) The Principal:
Use the triangle to find the length of the
side marked x. The perimeter is 23m.
X
6m
10m
I need help figuring out this IXL question.
Answer:
P' = (-9, 10)
Q' = (-2, 10)
R' = (-2, 0)
S' (-9, 0)
Step-by-step explanation:
Find the midpoint of a segment on a coordinated plane if the endpoints are (4,1) and (7,-3)
Answer:
(5.5, - 1 )
Step-by-step explanation:
The midpoint is the average of the x and y coordinates
midpoint = ( [tex]\frac{4+7}{2}[/tex] , [tex]\frac{1-3}{2}[/tex] ) = ( [tex]\frac{11}{2}[/tex], [tex]\frac{-2}{2}[/tex] ) = (5.5, - 1 )
NEED THIS SOLVED NOW PLEASE HELP WILL GIVE BRAINLYEST
A new Community Sports complex is being built in safe harbor the perimeter of the rectangular playing field is 452 yards. The length of the field is 2 yards less than the width. What are the dimensions of the playing field?
Find the Width and the Length
Answer:
Let w = the width
Let 4w - 9 = the length
P = 2l + 2w
582 = 2(4w - 9) + 2w
582 = 8w - 18 + 2w
582 = 10w - 18
600 = 10w
60 yards = w
4w - 9 = 4(60) - 9 = 231 yards
Step-by-step explanation:
yes
whats the simplest form of expression
Step-by-step explanation:
[tex] \frac{2b}{ \sqrt{ {b}^{20} } } \\ = \frac{2b}{ {b}^{10} } \\ = \frac{2}{ {b}^{9} } \\ thank \: you[/tex]
2/b^9
here's the answer to the question
During the grand opening of an electronics store, any customer has a 17% chance of winning a free laptop. What is the chance that a customer does not win a free laptop?
81%
83%
51%
37%
Answer:
83 percent is the answer
Savannah wants to purchase C dozen cupcakes for $2.50 each and B boxes of brownies for $3.25 each. She can spend at most $35. Which inequality could be used to determine how many of each item Savannah can purchase?
Answer:
14 packs of cupcakes and 10 packs of brownies!
Step-by-step explanation:
Hoped I helped :)
Solve Me Mobiles puzzle #10
Answer:
Brainliest plz
Step-by-step explanation:
draw the graph of y = - 5 and Y = 5 on the same graph are the line parallel? find the point of intersection of two lines
help me in this
Answer:
it's parallel and there's no point intersection since they are parallel
Are the shapes labelled congruent?
please explain what congruent is and how i can find if shapes are congruent
Answer:
Yes they are. Explanation provided below.
Step-by-step explanation:
Two shapes are congruent when they are the same shape and size. Its obvious that both are rectangles and if we look at the grid, we can see that both rectangles are 2 by 4. Since they both have the same shape and size, they are in fact congruent.
Best of Luck!
5. Original Price: $40 Sale Price: $30
In 8,574.1 which digit is in the tenths place?
1
because it is immediatly after the point
if it takes 10 men 10 days to dig a hole how long will it take 5 men to dig a hole that's half as big
Answer:
10 days
Step-by-step explanation:
It will take 10 men 5 days to dig a hole half as big.
It will take 5 men 10 days to dig a hole half as big.
( Remember, the less people, the more time it will take. )
Answer:
10 men can dig 1 hole in 10 days
How long for 5 men to dig ½ hole?
The ratio to be concerned with is
(number of people / number of holes) = 10 days
5 people digging ½ hole will take 10 days.
Go here: http://www.1728.org/puzzle.htm
See puzzle #3
Step-by-step explanation:
Reduce the Fraction
15
----
30
Answer:
1/2
Step-by-step explanation:
15/30
The GCF is 15
GCF is the greatest common factor
Divide both numbers by the GCF
15/15 = 1
and 30/15 = 2
reduced fraction is 1/2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Seven less than four times a number is nine. FIND the number
Answer:
4
Step-by-step explanation:
4 times 4 is 16. 7 less than 16 is 9.
Answer:
4
Step-by-step explanation:
You can use a simple formula for finding the answer to problems like these. You read it out and put your information in order and use a variable (such as x) in place of the number.
4 * x - 7 = 9
Then solve by getting your variable alone on one side.
Add 7 to both sides: 4 * x = 16
Divide both sides by 4: x = 4
it costs $20 for 4 play tickets and $35 for 7 play tickets. is costs per ticket constant? why or why not?
Answer:
Yes.
Step-by-step explanation:
Most people are going to say 4x2=8 so 20x2=40, then do a huge math mess up and think they discounting $1.33 after the first 4. this is incorrect.
Seeing as $20 is 4 tickets we can safely say, each ticket is $5 each.
Basic mathematics, 5x7=35. Paying for 7 tickets at $5 each, that is the correct constant price.
Answer:
Step-by-step explanation:
how to understand hypabolic equations
Answer:
The wave equation utt − uxx = 0 is hyperbolic. The Laplace equation uxx + uyy = 0 is elliptic.
The square below represents a unit or a whole. What fraction is represented by the
11. The rectangle has a width of 8 in, a length of x-5 in, and an area of 16 in. Solve for X.
Hint: label the figure.
K-5in
8in
Area = width × length
16= 8 × (X –5 )
16 = 8X – 40
8X = 16 + 40
8X = 56
X= 56 / 8
X= 7 in
I hope I helped you^_^
Answer: x =
Step-by-step explanation:
Area = width times length
8*(x-5)=16
8x - 40 = 16
8x = 16 + 40
x = 56/8
x = 7