please help!!!
I really confused ​

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

Using limits, it is found that the value of the function is of 0.5.

The limit given is:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]

The following property is used:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]

Hence, multiplying the numerator and denominator by 0.5:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]

The value of the function is of 0.5.

To learn more about limits, you can take a look at https://brainly.com/question/24482719

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

Answer:

D

Step-by-step explanation:

perpendicular to 2 =x is -1/2x, and (0,-3) just happens to be on the y intercept so its -1/2x - 3

Answer:

300 in²

Step-by-step explanation:

The TV screen is rectangular in shape.

Thus:

Length of the rectangular screen = 15 in.

Diagonal of the rectangular screen = 25 in.

To find the area of the rectangular screen, we need the length and the width of the screen.

Use pythagorean theorem to find the width as shown below:

[tex] a^2 + b^2 = c^2 [/tex], where:

a = width = ?

b = 15 in.

c = 25 in. (The hypotenuse/longest side)

Plug in the values into the equation

[tex] a^2 + 225 = 625 [/tex]

Subtract 225 from each side

[tex] a^2 = 400 [/tex]

Take the square root of both sides

[tex] a = 20 [/tex]

width of the screen = 20 in.

Thus,

Area of the screen = length × width

= 15 × 20

Area = 300 in²

Answer:

153087 mg

Step-by-step explanation:

Answer:

y=4/5x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20 subtract 8x from both sides

x=4/5x-2   divide everything by -10

Answer:

15x^6y^15

Other:

Brainliest? Thanks!

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

Answer:

Step-by-step explanation:

Aaron types 40 wpm times 30 minutes = 1200 wpm.

Jessica types 55 wpm times 30 minutes = 1650 wpm.

Jessica’s types 450 more words per minute than Aaron.

A= 450 more than Aaron

Answer:

i think its 1.6-

Step-by-step explanation: science

Answer:

60%

Step-by-step explanation:

Percentage of money saved by Ovide = [tex]\frac{9}{15} * 100 = \frac{3}{5}*100[/tex]

                                                                = 3 * 20

                                                                = 60%

Answer:

30

Step-by-step explanation:

i hope this helped and i am pretty sure this is correct!

Answer:

1. 1 5/7

2. 2/15

Step-by-step explanation:

1. 4/1 × 3/7= 4 times 3, 1 times 7 = 12= 1 5/7

2. 2/9 × 3/5= 2 times 3, 9 times 5= 6/45= 2/15

(X-x0)m=y-y0

(X-5)2=y-9

2x-10=y-9

2x-1=y

Substitute (r,3) in the equation

2(r)-1=3

2r=4

R=2

Step-by-step explanation:

2x-y=8

x+y=20

------------

3x=28

×=28÷3=9.3

so

9.3+y=20

y=20-9.3

y=20.7

[tex]1/2=0.5\\5/0.5=10[/tex]

Given:

Total people = 132

Total students = 110

The ratio of shark bookmarks to seal bookmarks to the students is 3:2.

To find:

The number of students who receive shark bookmarks.

Solution:

Let the total number of students who receive shark bookmarks be 3x and number of students who receive seal bookmarks be 2x.

Total number of students is 110. So,

[tex]3x+2x=110[/tex]

[tex]5x=110[/tex]

Divide both sides by 5.

[tex]x=22[/tex]

Now,

Number of students who receive shark bookmarks [tex]=3x[/tex]

                                                                                   [tex]=3(22)[/tex]

                                                                                   [tex]=66[/tex]

Therefore, 66 students receive shark bookmarks.

Answer:

y=-2/3x+2/3 i think... :)

Step-by-step explanation:

y=mx+b

-4=-2/3(-7)+b

-4=14/3+b

b=2/3

y=-2/3x+2/3

Answer:

21

Step-by-step explanation:

Answer:

The an

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

 1           2

___  ÷  ___

 2          11

          1           11

         2           2

         1          11        11

         2          2        4

since 11/4 is already in a simplified/reduced form we don't need to reduce it or anything.

FINAL ANSWER: 11/4

Answer:

x = 13

Step-by-step explanation:

4x + 14 = 66

     -14     -14

---------------------

     4x = 52

     ----   ----

      4      4

      x = 13

Answer:

m=9

Step-by-step explanation:

9m=81

Answer:

9

Step-by-step explanation:

First you have to get the variable by its self (m). So you will get rid of 6 and since it’s positive you will do negative 6 to cancel it out. But what you do to one side you do to the other, so you will do 87 - 6 and get 81. Now it’s 9m = 81. So then since 9 is next to m that implies multiplcation so you do the opposite of multiplication and dived 9 by both sides. And when you do that you get 9.

She received a 35% discount (A).

Answer:

x = 20

Step-by-step explanation:

65 - 5 = 60

60 ÷ 3 = 20

so x equals 20

Answer:

14 2/3

Step-by-step explanation:

.....................

Answer:

15

Step-by-step explanation:

Answer:

yes the answer Is A

Step-by-step explanation:

all you have to do is add and subtract

Answer:

Step-by-step explanation:

we need to know how much 1 sock costs so lets do it: 5.79 divided by 12 is 0.4575

One sock costs 0.479.

Hope this helps <3

Answer:

0.5 in, 2 in

Step-by-step explanation: