A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 for 300 minutes of airtime. What linear model represents the total cost, C, as a function of t, the amount of airtime in minutes?

Answer:

A1 7% = $400 & A2 8% = $16,600

Step-by-step explanation:

A1 * 7% + A2 * 8% = 1356

A1 + A2 = 17000

A1 = 17000 - A2

(17000 - A2) * 0.07 + A2 * 0.08 = 1356

1190 - 0.07 A2 + 0.08 A2 = 1356

1190 + 0.01 A2 = 1356

0.01 A2 = 166

A2 = 16600

A1 = 17000 - A2

A1 = 17000 - 16600

A1 = 400

Answer:

The best bet would be x=40

Step-by-step explanation:

Answer: 4145.43

Have a great day! ;)

Step-by-step explanation:

a)

[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]

[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]

b)

[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]

[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]

[tex] = \cos ^{2} x[/tex]

c) Note that cscx = 1/sinx so

[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]

[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]

Answer:

4.

Step-by-step explanation:

The orientation of the shape is the same  4 times during 360 degree turn.

Answer:

4

Step-by-step explanation:

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Answer:

-1

Step-by-step explanation:

See Image below:)

Answer:

-1

Step-by-step explanation:

Answer:

there are 24.14 kilometers in 15 miles

Answer:  6x - 7y = 21

Step-by-step explanation:

sorry if its wrong

9514 1404 393

Answer:

  625

Step-by-step explanation:

The ordered pair is an (x, y) pair. You are given the value of x. Put it in the equation and do the arithmetic.

  y = 5^4 = 625

The ordered pair is (4, 625). The missing value is 625.

_____

Additional comment

The exponentiation function on many calculators is done using a key labeled ...

  [tex]\boxed{y^x}[/tex]

You can do it the long way by recognizing that 5^4 = 5·5·5·5 or 25·25.

Answer:

I think its

im not sure

Step-by-step explanation:

Answer:

4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.

Answer:

C. I think

Step-by-step explanation:

Answer:

do 24 divide 3

then 24-4

have maria debate if she wants large quantities of hot dogs or cokes

Answer:

n+6+2n+3+90=180

3n+99=180

3n=81

n=27

33 plus 90+57=180

Answer:

the value of n is 27 degree

Step-by-step explanation:

n+6+2n+3+90=180 degree (being linear pair)

3n+9+90=180

3n=180-99

3n=81

n=81/3

n=27

A linear pair is a pair of adjacent angles formed when two lines intersect.

In the function f(x) = log2(x + 3)), the smallest average rate of change in the  function is in the interval,  (6,8)

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

A logarithmic function,

f(x) = = log2(x + 3)

Rate of change = Change in values of function/change in x

                          =  [F(b) - F(a)]/ b-a

For the interval, (0, 2)

f(0) = Log2(0 + 3)  = Log(6)

f(2) = Log2(2 + 3)  = Log(10)

Rate of change =   Log(10) -  Log(6) /2

                          =  0.11

Similarly, for the intervals,    (4, 6),   (2, 4),   (6,8)

Hence, the smallest average rate is for the interval, (6, 8)

To know more about Logarithmic function check:

https://brainly.com/question/27389970

#SPJ1

9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

Answer:

a) This probability as empirical Probability.

b) This probability is not accurate because this experiment must be repeated a large number of times for empirical probabilities should be accurate.

Step-by-step explanation:

On 6 occasions, of which three times the train was late. that means 3 times the train is on time.

Empirical probability = Number of outcomes satisfying event / No.of trails

                                = 3/6 = 0.5.

a) This probability as empirical Probability.

b) This probability is not accurate because this experiment should be repeated a large number of times for empirical probabilities should be accurate.

Answer:

56%

Step-by-step explanation:

because of the 56% it had to be true to be in the question at all.

Answer:

-1

Step-by-step explanation:

f(0) = -5^0 = -1

Answer:

3=a(-3-(-2))^2+2

Step-by-step explanation:

Answer:

3=a(-3-(-2))^2+2

Step-by-step explanation:

Answer:

I think is 15 dollars.

Step-by-step explanation:

each pound cost 1.5 multiply it by 10

Answer:

$15

Step-by-step explanation:

4 pounds are $6

10pounds are $?

1 pound would be $1.5, because 6/4 = 3/2= 1.5

If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15

Answer:76

Step-by-step explanation:

Answer:

( x-3) (x-8)

Step-by-step explanation:

the zeros of a quadratic are the roots of the equation so you could factor as (x-root 1)(x-root2) = ( x-3) (x-8)

(x-3) and (x-8) are the factors

Answer:

J

because there is only one number in between 10-19 which is 18. One number in between 20-29 which is 26. 2 numbers in between 40-49 which is 46 and 47. 3 numbers in between 50-59 which is 53, 54, 59. and 1 number in between 70-79 which is 75

Step-by-step explanation:

Brainly?

Answer:

x = 60 degree

Step-by-step explanation:

90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)

180 + 6x = 540

6x = 540 - 180

x = 360/6

x = 60 degree

Answer:

1.733

Step-by-step explanation:

Given ratio ,

=> 3:2

According to the Question ,

=> $ 2.60 / x = 3/2

=> x = $ 2.60 × 2/3

=> x = $ 1.733

Answer:

≈ $1.73

Step-by-step explanation:

[tex]\frac{2.6}{y} :\frac{3}{2}[/tex]

y × 3 = 2 × 2.6

3y = 5.2

3y ÷ 3 = 5.2 ÷ 3

[tex]y=1\frac{11}{15}[/tex]

y = 1.7333333333333

1.7333333333333 rounds to $1.73

From the graph,

g(2) = 4 ( from the coordinate (2,4))

[ The green line represent the function g(x)]

f(2)= 0

[ The red line represent the function f(x)]

(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4

OPTION A is the correct answer

Step-by-step explanation:

the answer is in the above image

use the app

WOLFRAM ALPHA it helps a lot

Answer:

[tex] \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..[/tex]

Answer:

Ssss

Step-by-step explanation:

Answer:

V = 678.24 cm^3

Step-by-step explanation:

Formula for volume of a cylinder:

the radius is half of the diameter (12/2 = 6)

[tex]V = \pi r^{2} h\\V = \pi 6^{2} 6\\\\V = 678.24[/tex] cm^3

Answer:

678.24 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V  = pi r^2 h  where r is the radius and h is the height

We know the diameter

r =d/2 =  12/2 = 6

V = 3.14 * 6^2 * 6

678.24 cm^3