2. Roberto has a wealthy uncle who gives him two options to save money in a bank
account to save for a PlayStation 4, which will cost $518.
Option 1: Roberto's uncle deposits $100 in the first month and $50 for each additional month.
Option 2: Roberto's uncle deposits $5 for the first month and will double the about in the
account each month.
Which option above can be written as a geometric sequence?
A. Option 1
B. Option 2
C. Both Option 1 and 2
D. Neither Option 1 or 2

Hey there!

Volume= (l)(w)(h)

=> 6cm × 5cm × 7cm

=> 210cm[tex] {}^{5} [/tex]

Therefore, Volume = 210cm[tex] {}^{5} [/tex]

Answer:

red (w/discount) ... $18 per gallon

blue (w/discount) ... $20 per gallon

(3 n * 18) + (2 n * 20) ≤ 500

54 n + 40 n ≤ 500 ... 94 n ≤ 500 ... n ≤ 5 15/47

3 n = 15 gal red ... 2 n = 10 gal blue

Step-by-step explanation:

[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Step-by-step explanation:

Cosine is a trigonometric function defined as the ratio of length of adjacent side and the hypothesis in a right-angle triangle.

It is a periodic function with a period of 2pi.

Graph of its plot is attached.

Answer:

y = 1/10x+60.

Step-by-step explanation:

Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The correct answers are: The y-intercept of the function is $60. The function can be represented by the equation y = 1/10x+60.

Step-by-step explanation:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

Step-by-step explanation:

Let me start off by saying that 1 unit side is absolutely useless.

You can translate the 6 unit side downwards, so now we have a right isosceles triangle of 2 equal sides which are 6

The hypotenuse is given here by x.

Applying the Pythagorean theorem i can then say;

[tex]x {}^{2} = 6 {}^{2} + 6 {}^{2} [/tex]

[tex]x {}^{2} = 36 + 36[/tex]

[tex]x {}^{2} = 72[/tex]

[tex]x = \sqrt{72} = 6 \sqrt{2} = 8.485[/tex]

x=8.5

rounded to the nearest 10 :)

Answer:

d. 242..................

Answer:

d

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 5, thus

[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]

      = 5.5(- 6 + 50)

       = 5.5 × 44

       = 242 → d

Applying the exterior angles theorem, the measure of the exterior angle is: m∠2 = 139°.

The exterior angles theorem states that the measure of the two remote angles in a triangle is equal to the measure of the exterior angle of a triangle.

Thus:

75° and 64° are remote interior angles.

Therefore:

m∠2 = 75° + 64°

m∠2 = 139°

Learn more about exterior angles theorem on:

https://brainly.com/question/8190762

Answer:

9/3

Step-by-step explanation:

12x43=168

168 divided by 56=3

Answer:

$8,865.85

Step-by-step explanation:

12145 multiplied by 0.73 = 8865.85

Answer:

Its 49 inches.

Step-by-step explanation:

We know that a squares has 4 equal sides, therefor: all sides equal 7 inches.

To find the area, multiply 7x7- which is 49.

Formula: A=s squared -> 49=7 squared

Hope this helps, brainliest is always appreciated! :)

Have a great day! cx

~Mitsuna

Check the picture below.

Answer:

the third one, EF = RQ or FD=QS

Answer:

it is the third box

hope this helps

A: 95 people dislike both

B: 81

C: 21

Answer:

Thanks for the points!!

Step-by-step explanation: dawggggggg

Answer: 1.7 x 10-5

Step-by-step explanation:

Answer:

I think 1000000000000000000

Step-by-step explanation:

Hope it's right

Answer:

it is 10000

Step-by-step explanation:

Answer:

[tex]14\sqrt{5}[/tex]

Step-by-step explanation:

   [tex]8\sqrt{5}+2\sqrt{45}[/tex]

[tex]=8\sqrt{5}+2\sqrt{9\cdot5}[/tex]

Use radical rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]=8\sqrt{5}+2\sqrt{9}\sqrt{5}[/tex]

[tex]=8\sqrt{5}+2\cdot3\sqrt{5}[/tex]

[tex]=8\sqrt{5}+6\sqrt{5}[/tex]

[tex]=(8+6)\sqrt{5}[/tex]

[tex]=14\sqrt{5}[/tex]

Combine these radicals

8√5 + 2√45

O 4√5

O 10√5

O 14√5 ✓

O 74√5

Step-by-step explanation:

14 ft hope this hellped ask again

Answer:

25 < 6.76 + 4.80t

Step-by-step explanation:

The order has to be over 25 dollars so 25 dollars is less than the order.

He spends 6.78 dollars for a collar, so that will be part of the order. We don't know what the total cost of all the treats is, but we know that it is 4.80 dollars per bag. So 4.80t represents the cost for t amount of treat bags.

Step-by-step explanation:

The linear function with slope of 1/3 and y-intercept at (0,-4) is given as follows:

D. y = x/3 - 4.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The parameters for this problem are given as follows:

m = 1/3, b = -4.

Hence the function is given as follows:

D. y = x/3 - 4.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

8cm

Step-by-step explanation:

8cm = 5km

5km = 8cm

therefore 8cm represent 5km on the map

Answer:

PN= $17,800

Step-by-step explanation:

La formula general para calcular el activo de una empresa es la siguiente:

A= PN + P

El activo es igual al patrimonio neto y el pasivo.

Debemos intercambiar los términos:

PN= A - P

Activo:

Caja= 10,000

Bancos= 13,500

Equipos de computación= 2,400

Documentos por cobrar= 5,100

Pasivo:

Cuentas por pagar= 8,000

Documentos por pagar= 4,000

Intereses por pagar= 1,200

PN= 31,000 - 13,200

PN= $17,800

Answer:

Option C .

Step-by-step explanation:

Here it is given that there are two species of birds which fly at different rates.

We can use the formula here ,

[tex]\longrightarrow \red{ Speed =\dfrac{Distance} {Time} }[/tex]

For Species A :-

Substitute the respective values in stated formula ,

[tex]\longrightarrow v_A = \dfrac{18.9\ miles}{42min}\\[/tex]

Simplify ,

[tex]\longrightarrow v_A = 0.45\ miles / min [/tex]

For species B :-

Substitute the respective values in stated formula,

[tex]\longrightarrow v_B =\dfrac{20.3\ miles}{58min}\\ [/tex]

[tex]\longrightarrow v_B = 0.35\ miles / min [/tex]

Therefore from above calculations we can say that ,

[tex]\underline{\underline{ v_A > v_B }}[/tex]

Species B is slower and it can fly 0.35miles/minute .

Answer:

81

Step-by-step explanation:

13/-13=-1+10=9

9*9=81

Answer:

81

Step-by-step explanation:

Answer:

16 or (4^2)

Step-by-step explanation:

4^3 * 4^-1

When multiplying exponents with the same bass, the exponents themselves can be added.

3 + -1 = 2

4^2 = 16

16 is your answer!

Answer:

Its 3 bro

Step-by-step explanation:

my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A