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2 years ago

15

Find K by evaluating Limit

1 answer:

Lubov Fominskaja [6]2 years ago

6 0

Answer:

4

Step-by-step explanation:

$\lim_{x \to \infty}\frac{1-cos4x}{1-cos2x}= \lim_{x \to 0} \frac{(1-cos4x)'}{(1-cos2x)'}= \lim_{x \to 0}\frac{4sin4x}{2sin2x}= \lim_{x \to 0}\frac{2*2sin2xcos2x}{sin2x}\\ = \lim_{x \to 0}4cos2x\\ =4$

{L'Hospital's rule}

<em>I hope this helps you</em>

<em>:)</em>

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A government health official is interested in whether there has been a statistically significant decrease in teen smoking rates.

Nostrana [21]

Answer: B

Step-by-step explanation:

The p-value is greater than the significance level (0.09 > 0.05), so we "fail to reject" H0.

The p-value and significance level are provided from the questions .

General rule of P value : When a P value is less than or equal to the significance level, you reject the null hypothesis.

7 0

3 years ago

I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and so

sweet-ann [11.9K]

Answer:

$3x-10$

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

$3x-10$

To find the range of possible values, we must solve the inequality and isolate x.

$3x-10$

Add 10 to both sides

$3x-10+10$

Divide both sides by 3

$\frac{3x}{3}$

I hope this helps!

4 0

3 years ago

Different groups of 50 graduates of engineering

ANEK [815]

Answer: Im sorry, can you finish your sentence for me? maybe its a glitch you can send me a message if you want me to help you?! (:

Step-by-step explanation:

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3 years ago

30. What is the solution to the system of equations? (1 point)

sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

$-7x-2y+z=-2\hfill (1)$

$6x-y-z=-18\hfill (2)$

$5x+4y-z=18\hfill (3)$

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

$-7x-2y+z=-2$

$6x-y-z=-18$

_________________

$-x-3y=-20$

________________

$-x-3y=-20$

$-(x+3y)=-20$

$x+3y=20\hfill (4)$ (since "-" getting cancelled)

Now adding equations (1) and (3)

$-7x-2y+z=-2$

$5x+4y-z=18$

_________________

$-2x+2y=16$

________________

$-2x+2y=16$

$2(-x+y)=16$

$-x+y=8\hfill (5)$

Now adding equations (4) and (5)

$x+3y=20$

$-x+y=8$

_________________

$4y=28$

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$y=\frac{28}{4}$

Therefore y=7

Substituting y=7 in equation (4)

$x+3y=20$

$x+3(7)=20$

$x+21=20$

$x=20-21$

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

$-7x-2y+z=-2$

$-7(-1)-2(7)+z=-2$

$7-14+z=-2$

$z=-2+7$

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0

2 years ago

PLZ HELP! What is the domain of the function shown in the table

LiRa [457]

Umm where is the table

8 0

3 years ago