London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month

a. If G(t) = a (1 + r)ᵗ, then G(0) = a corresponds to the starting area of the glacier, which is given to be 142 acres. So a = 142.

The area of the glacier shrinks by 4.4% each year. This means that after 1 year, the area is reduced to

142 - (4.4% of 142) = 142 (1 - 0.044) ≈ 135.75 acres

After another year,

135.75 - (4.4% of 135.75) = 135.75 (1 - 0.044) ≈ 129.78 acres

or equivalently, 142 (1 - 0.044)² acres.

And so on. After t years, the glacier would have an area of

G(t) = 142 (1 - 0.044)ᵗ   ⇒   G(t) = 142 × 0.956ᵗ

b. If the year 2007 corresponds to t = 0, then 2012 refers to t = 5. Then the area of the glacier is

G(5) = 142 × 0.956⁵   ⇒   G(5) ≈ 113.39 acres

c. Simply take the difference between G(5) and G(0) :

G(5) - G(0) ≈ 142 - 113.39 ≈ 28.61 acres

d. The average rate of change of G(t) from 2007 to 2012 is given by the difference quotient of G(t) over the interval 0 ≤ t ≤ 5 :

[tex]ARC_{[2007,2012]} = \dfrac{G(5) - G(0)}{5 - 0} \approx \dfrac{113.39 - 142}5[/tex]

so that ARC ≈ -5.72 acres/year. This rate tells us that a little less than 6 acres of glacial ice is lost each year, based on the reduction over the first 5 years.

e. The year 2017 refers to t = 10, so now we compute

[tex]ARC_{[2012,2017]} = \dfrac{G(10) - G(5)}{10 - 5} \approx \dfrac{90.55-113.39}5[/tex]

which comes out to about ARC ≈ -4.57 acres/year. Since this rate is smaller than the ARC between 2007 and 2012, this means that the glacial ice is disappearing at a slower rate in later years.

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

Answer:

i think probably 2457 is answer

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

Answer:

Step-by-step explanation: The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form.

Answer: 5

Step-by-step explanation:

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

Answer:

200 candles

Step-by-step explanation:

20*10 = 200

Answer:

With its point on A, open the compass on point E

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

In a dice, there are 6 sides, one of which is a roll is 1, then:

[tex]p = \frac{1}{6}[/tex]

There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

For more on probabilities, you can check https://brainly.com/question/24437717

Answer:

d

Step-by-step explanation:

the answer is d because 2×3 equal 6

[tex]\\ \sf\Rrightarrow a*b=ab^2[/tex]

[tex]\\ \sf\Rrightarrow 2*3[/tex]

[tex]\\ \sf\Rrightarrow 2(3)^2[/tex]

[tex]\\ \sf\Rrightarrow 2(9)[/tex]

[tex]\\ \sf\Rrightarrow 18[/tex]

Answer: 0.9

Step-by-step explanation:

Mark me branliest please

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

https://brainly.com/question/17822016

Answer:

-4 x 6 + -4

-24 + -4

-28.. is your answer mark me brainlist bro plz

Answer:

-28

Step-by-step explanation:

-4(6)+(-4)

-24+(-4)

-28

Step-by-step explanation:

If you swim 575 yards in 3 days, you swim 575 yards.

If you swim 575 yards per day for 3 days, then you swim 3 × 575 yd = 1725 yd

Answer:

$40-$15= $25 Rania has $25 dollars left

Step-by-step explanation:

Since Rania earned $40 for her birthday and then she spent $15 dollars at the movies, that means that 40-15=25 so she has 25 dollars left.

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

Answer:

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

9³

Step-by-step explanation:

nine to the third power or 9-cubed is the answer b/c multiply the number "9" by itself, three times.

     Therefore, 9*9*9" is equal to: 9³ 

Answer: 2 and 3

Step-by-step explanation:

The cube root of 12 is 2.28942848511, so it is between the integers 2 and 3.

Answer:

hope it helps B-Y, C-Z, A-X

Answer:

0.60

Step-by-step explanation:

25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60

y = mx+b

y = 1/3x+4

Sincerely,

William

Answer:

168. would be the length

Answer:

0.34

Step-by-step explanation:

64^1/2=34

10^-2=0.01

34*0.01=0.34

Answer:

23/99 or 0.22222222222222.

Step-by-step explanation:

Answer:

23/99

Step-by-step explanation:

Answer:

the answer is 270714.285714 or just  270714.2 careful \

Step-by-step explanation: