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pashok25 [27]
3 years ago
7

You are looking for a new cell phone plan. The first company, Cellular-Tastic (f), charges a

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

200 minutes

Step-by-step explanation:

Given that:

Cellular - Tastic (f) :

Monthly fee = $35

Per minute fee = $0.11

Dirt cheap call (g) :

Monthly fee = $55

Per minute fee = $0.01

How many minutes would you need to use for the cell phones to cost the same

amount?

Let number of minutes for cost to be equal = x

35 + 0.11x = 55 + 0.01x

Collect like terms

0.11x - 0.01x = 55 - 35

0.1x = 20

x = 20/0.1

x = 200

Hence, for cost to be the Same, 200 minutes must be used

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A NASA spacecraft once landed on the surface of the asteroid named 433 Eros.This asteroid is near Earth and has an average orbit
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It would be 24,360 meters per second
6 0
3 years ago
Consider the following geometric sequence.<br><br> 2, 6, 18, 54,
Kaylis [27]

Answer:

The rule or operation in this sequence is multiplication by 3.

Step-by-step explanation:

2*3=6

6*3=18

18*3=54

and so on...

7 0
3 years ago
What are the explicit equation and domain for an arithmetic
max2010maxim [7]

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term: a_1=5

Second term: a_2=3

Common difference is

d=a_2-a_1

d=3-5

d=-2

Now, the explicit formula for an arithmetic sequence is

a_n=a+(n-1)d

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

a_n=5+(n-1)(-2)

It can also be written as

a_n=5-2n+2

a_n=7-2n

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is a_n=5+(n-1)(-2) or a_n=7-2n and domain is all interest greater than or equal to 1.

8 0
3 years ago
Evaluate.
Daniel [21]

Answer:

  d)  192

Step-by-step explanation:

Your calculator can do this for you.

Or, you can simplify to

  12\cdot\dfrac{4^{-2}}{4^{-4}}=12(4^{-2+4})=12(4^2)=192

3 0
3 years ago
Write an equation of the line through each pair of points in slope-intercept form.
ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0
3 years ago
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