A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

What is the cost when the tow plans cost the same?

Given:

The expression is:

[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]

To find:

The integration of the given expression.

Solution:

We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].

Let us consider,

[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]

[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex]         [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]

[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]

[tex]I=\int \tan^2xdx[/tex]                      [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]

It can be written as:

[tex]I=\int (\sec^2x-1)dx[/tex]             [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]

[tex]I=\int \sec^2xdx-\int 1dx[/tex]

[tex]I=\tan x-x+C[/tex]

Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

(k+1)(x2)−8kx+3k+5

Distribute:

=(k)(x2)+(1)(x2)+−8kx+3k+5

=kx2+x2+−8kx+3k+5

Answer:

=kx2−8kx+x2+3k+5

Answer:

first is 52°C

Step-by-step explanation:

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

Work Shown:

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(61) = AC/1

tan(61) = AC

AC = tan(61)

AC = 1.80404775527142

AC = 1.8

The river is about 1.8 miles wide between points A and C.

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°

Step-by-step explanation:

[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]

Answer: a= w - 4b/ 7

Step-by-step explanation:

Answer:earthy

Step-by-step explanation:vuinh

Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     (A is Area)

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

Answer:

B. 1,1,2,3,5,8,13,21

Step-by-step explanation:

I calculated it logically

Answer: See the diagram below

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

Explanation:

The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).

In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).

In column 2, refer to the figures as A, B, C

Figure 1 matches with figure B

Figure 2 matches with figure C

Figure 3 matches with figure A.

These matches are of course the base with the proper height.

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

A.)

Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85

Ordered data :

41, 49, 65, 67, 73, 74, 74, 82, 85

Sample size, n = 9

Median = 1/2 * (n +1) th term

Median = 1/2 * 10 = 5th term

Median value = 73

Midrange = (Maximum + minimum) / 2

Midrange = (85 + 41) / 2 = 126 / 2 = 63

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(41*49*65*67*73*74*74*82*85)^1/n

= 66.19

B.)

Sodium grams in canned soup (8 varieties)

X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29

Ordered data:

2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29

Sample size, n = 8

Median = 1/2 * (n +1) th term

Median = 1/2 * 9 = 4.5th term

Median value = (2.75+ 3.6) / 2 = 3.175

Midrange = (Maximum + minimum) / 2

Midrange = (4.29 + 2.68) / 2 = 3.485

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8

= 3.32

C.)

Campus health center visits (12 students)

X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3

Ordered data :

1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13

Sample size, n = 12

Median = 1/2 * (n +1) th term

Median = 1/2 * 13 = 6.5th term

Median value = 3

Midrange = (Maximum + minimum) / 2

Midrange = (1 + 13) / 2 = 7

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12

= 2.82

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

Answer:

1 no answer=1/100

2 no answer=1/100

3 no answer=100

Step-by-step explanation:

Answer:

∆ RPQ

Step-by-step explanation:

__________________

Answer:

B

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

Answer:

see below

Step-by-step explanation:   5  30   9   50

This is what I think they are asking for....

the zeroes are x = 0  x = -4    x = 7 twice ??       so

             x(x+4)(x-7)² = 0

when I graphed the function it looked to be correct

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

Answer:

The answer is the first day

Answer:22

Step-by-step explanation:

The complete sentence is

The price with coupon B is $10 less than the price with coupon A.

It depends on the original price of the S41 shoes.

Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.

Let's assume the original price of the S41 shoes is P dollars.

Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.

Using Coupon B, the price after the $10 rebate =  (P - $10) dollars.

Now, compare (0.85 * P) with (P - $10).

simplify the expression (0.85 * P) < (P - $10) as

0.85P < P - $10

0.85P - P < - $10

-0.15P < - $10

P > (- $10) / (-0.15)  

P > $66.67

Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

Answer:

Im fairly sure it is 45ft^3

Answer:

[tex]45ft^{2}[/tex]

Step-by-step explanation:

V=L*W*H

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17