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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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Answer:

42%

first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .

then it is shown that 9 girls like biology and boys ...anon

20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .

to get the boys who like biology u subtract 38 from their total which is 71 to get 33.

33 + 9 = 42

42/100 = 42%

man this math sucks i have no idea i need points tho

Answer:

f(2) = 12

Step-by-step explanation:

f(x = −x^2 + x + 14

Plug in:

f(x) = −2^2 + 2 + 14

Solve:

f(x) = −2^2 + 2 + 14

f(x) = -4 + 2 + 14

f(x) = -2 + 14

f(x) = 12

Hope this helped.

Answer:

20

substitute x for 2 in the equation

f(2)= (-2)^2 + 2 + 14

= 4+2+14

= 20

Answer:

4; 17/4; 5

Step-by-step explanation:

For f(0)

Replace all x to 0:

f(0)=0^2+4

4

For f(1/2)

1/2^2+4

Which is 17/4

For f(-1)

-1^2+4

Which is 5

Hope this helps!

Answer:

Cars for 2 riders are 3

Step-by-step explanation:

I. When total riders is 18

  4(3) = 12  => Cars for 4 riders

  2(3) = 6   => Cars for 2 riders

Got more question or something to discuss, leave comment below

Answer:

there will be 50 laps in 45 minutes.

Step-by-step explanation:

Laps in 18 minutes=20

Caculate laps for 1 minute:

Laps in 1 minute=20/18

Now ,calculate laps for 45 minutes:

Laps in 45 minutes=20/18 × 45

= 50

Note: if you have any question about it you can ask.Thanks

Answer:

15

Step-by-step explanation:

AC is the entire line segment.

AB and BC together make AC.

⇒ AB + BC = AC

⇒ [tex](2x+2)+(3x+6)=23[/tex]

Open the parentheses

[tex]2x+2+3x+6=23[/tex]

Combine like terms

[tex]5x+8=23\\5x=15\\x=3[/tex]

Therefore, x=3. Plug this into 3x+6 to find BC:

[tex]3x+6\\= 3(3)+6\\=9+6\\=15[/tex]

Therefore, BC is 15.

I hope this helps!

Answer:

[tex]thank \: you[/tex]

Answer:

5k 1/2

Step-by-step explanation:

here you go!!!!!!!!!!!!!!

Answer: a. <aib & <bic

Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.

In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.

Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.

1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.

2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.

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Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](0,\infty)[/tex]

==============================================================

Explanation:

I'm assuming the function is [tex]f(x) = 2(3)^x[/tex] which is an exponential function.

The domain of any exponential function is the set of real numbers. In interval notation, the domain is [tex](-\infty, \infty)[/tex] which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.

The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation [tex](0,\infty)[/tex]

----------

Summary:

Domain: [tex](-\infty,\infty)[/tex];  Range: [tex](0,\infty)[/tex]

So that's why the answer is choice A

The domain and range of the function f(x)  are  (-∞, ∞) and  (-∞, ∞) respectively.

A relation is a function if it has only One y-value for each x-value.

The function f(x) = 2(3x) can be simplified to f(x) = 6x.

The domain of a function is the set of all possible input values for x, while the range is the set of all possible output values for f(x).

Since there are no restrictions on the value of x that can be plugged into the function, the domain of f(x) is all real numbers, or (-∞, ∞).

To find the range, we can look at the behavior of the function as x varies. As x increases or decreases, the value of f(x) also increases or decreases, respectively, at a rate of 6 times the rate of change of x.

Therefore, the range of f(x) is also all real numbers, or (-∞, ∞).

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Answer:

84528 birds

Step-by-step explanation:

number of birds in the 2nd flock = 5283 * 5 = 26415

number of birds in the 3rd flock = 26415 * 2 = 52830

total = 5283 + 26415 + 52830 = 84528

Answer:

5 * sqrt(3)

Step-by-step explanation:

The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.

Answer:

5

⋅

(

n

+

1

)

Explanation:

To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it  

n

.

Next let's create the sum of a number and one. This would be:  

n

+

1

.

Then to get five times this number we need to multiple this expression by five to get:  

5

⋅

(

n

+

1

)

Step-by-step explanation:

I dont even know anything about math

Answer : 1+1 = 11

22+22 = 2222

[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\longmapsto ^{12}C_3[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]

[tex]\\ \rm\longmapsto 220[/tex]

Answer:

Q1: 14

Q2:Yes

Step-by-step explanation:

Q1: 172.5-25.5=147

147/10.5=14

Q2: 22.50+10%=24.75

24.75-20%=19.8

Answer:

~

=

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

BC and CD are equal, so both equations will equal eachother.

6x - 16 = 4x + 10

     +16         +16

------------------------

    6x = 4x +26

    -4x  -4x

------------------------

      2x = 26

      ----   -----

       2      2

        x = 13

Hope this helped.

Answer:

40212/100

Step-by-step explanation:

To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

402.12 = 402.12/1 = 4021.2/10 = 40212/100

And finally we have:

402.12 as a fraction equals 40212/100

answer:

[tex]\frac{10053}{25}[/tex]

first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.

you would get [tex]402\frac{3}{25}[/tex]

convert the mixed number to an improper fraction:

25×402+3=10053

and lastly, place your new numerator over the original denominator:

[tex]\frac{10053}{25}[/tex]

Answer:

91,25

Step-by-step explanation:

the step by step is on the picture! :)

Answer:

the answer is in picture

Answer:

1 inch

Step-by-step explanation:

Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance

Answer:

THE ANSWER IS 12 because :

640÷8=80

80-5=75

900÷75=12.

Total 12 passenger can travel for, Rs900.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Fare of 8 passengers = Rs640

Therefore, fare of 1 passenger = 640/8 = Rs80

Since, the fare is decreased by Rs5 per passenger,

Therefore, new fare = 80 - 5 = Rs75

The number of passengers that can travel for, Rs900

= 900/75

= 12

Total 12 passenger can travel for, Rs900.

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Answer:

answer) the change is $7.90

Step-by-step explanation:

I think this answer will be correct

Answer:

150.333

Step-by-step explanation:

The three is repeated

Answer:

-2h =6-15

-2h =-9

h=-9/-2

h=4.5

Step-by-step explanation: