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Elza [17]
3 years ago
5

What is the value of the sin3x/6x; as x approaches to zero

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

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.

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Consider the scatter plot.
Leno4ka [110]

<u>Answer:</u>

The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

<u>Step-by-step explanation:</u>

We are given a scatter plot with a best fit line as shown on the given graph.

The equation of the best fit line is given by:

y = 0.75x + 5

So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Since the distance shown on the y axis is already 5 when the time started at 0 minutes.

4 0
3 years ago
-8+5w^4=28 what is w=
Murljashka [212]

Answer:

w = ±\sqrt[4]{36/5}

Step-by-step explanation:

-8+5w^4=28

You can regroup it:

5w^4 - 8 = 28

Add 8 to both side:

5w^4 = 28 + 8

5w^4 = 36

Divide both side by 5:

5w^4/5 = 36/5

w^4 = 36/5

Take the 4 root of both sides:

w = ±\sqrt[4]{36/5}

Hope this help you :3

3 0
3 years ago
Read 2 more answers
Old McDonald had a farm. In one pen the old farmer had chickens and bulls together. In that pen there were 40 animals in total,
SVETLANKA909090 [29]

Answer:

There are 15 numbers of chicken and 25 numbers of bulls.

Step-by-step explanation:

The pen had chickens and bulls.  The pen contains 40 animals in total. The number of legs in the pen is 130 .

Let

a = number of chicken

b = number of bull

a + b = 40................(i)

A chicken has 2 legs and a bull has 4 legs.

The total legs can be represented as

2a + 4b = 130...........(ii)

combine the equation

a + b = 40................(i)

2a + 4b = 130...........(ii)

a = 40 - b

insert the value of a in equation(ii)

2(40 - b) + 4b = 130

80 - 2b + 4b = 130

80 + 2b = 130

2b = 130 - 80

2b = 50

divide both sides by 2

b = 50/2

b = 25

Insert the value of b in equation (i)

a + b = 40

a + 25 = 40

a = 40 - 25

a = 15

There are 15 numbers of chicken and 25 numbers of bulls.

8 0
3 years ago
20 points!!!
OverLord2011 [107]

Answer: y+3 = 4( x + 1)

Step-by-step explanation:

The equation in point slope form is given as :

y - y_{1} = m ( x - x_{1} ) , where m is the slope

slope = 4

point given : (-1,-3)

Using the formula :

y - y_{1} = m ( x - x_{1} )

and substituting the value , we have

y - (-3) = 4 (x -{-1} )

y+3 = 4( x + 1)

8 0
3 years ago
|c- 24| = 7c<br><br> :D :D :D
Ivanshal [37]

c\geq0\\\\\\ |c- 24| = 7c\\\\c-24=7c \vee c-24=-7c\\\\6c=-24 \vee -8c=-24\\\\c=-4 \vee c=3\\\\-4\not \geq0\\\\\boxed{c=3}

3 0
3 years ago
Read 2 more answers
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