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3 years ago

Help a girl out pls! Lmkkk!

Mathematics

1 answer:

Gre4nikov [31]3 years ago

5 0

I’m not too sure what the question is, please let me know! are you asking what the specific number of the weight of the coffee bean is?

if you divide the weight of the coffee cherry by 20%, you should get the individual weight of the coffee bean!

let me know if this helped, or if you need more help!:)

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Sin(4x) in the term of just x<br> Please help!!

Nina [5.8K]

I think you mean in terms of $\sin(x)$ ?

Recall Euler's identity

$e^{ix} = \cos(x) + i \sin(x)$

and de Moivre's theorem

$\left(e^{ix}\right)^n = \left(\cos(x) + i \sin(x)\right)^n = \cos(nx) + i \sin(nx) = e^{inx}$

where $i=\sqrt{-1}$ .

It follows that

$\sin(4x) = \mathrm{Im}\left(\cos(x) + i \sin(x)\right)^4$

By the binomial theorem, expanding the right side gives

$\cos^4(x) + 4i \cos^3(x) \sin(x) - 6\cos^2(x) \sin^2(x) - 4i \cos(x) \sin^3(x) + \sin^4(x)$

and so

$\sin(4x) = 4\cos^3(x) \sin(x) - 4 \cos(x) \sin^3(x)$

We can factorize this as

$\sin(4x) = 4 \cos(x) \sin(x) \left(\cos^2(x) - \sin^2(x)\right)$

and using the Pythagorean identity

$\cos^2(x)+\sin^2(x) = 1 \implies \cos(x) = \pm \sqrt{1-\sin^2(x)}$

this reduces to

$\sin(4x) = \pm 4 \sqrt{1-\sin^2(x)} \sin(x) (1 - 2 \sin^2(x))$

8 0

2 years ago

A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing ex

aksik [14]

Answer:

208 - 0.7a < 180

Step-by-step explanation:

5 0

3 years ago

1, 1, 4, 7, 8, 8, 8, 11, 15<br> What is the mode of this list of numbers?<br><br> answer asap!!!!

wlad13 [49]

Answer:

Step-by-step explanation:

its eight...........................

7 0

3 years ago

Read 2 more answers

Help please ASAP I don’t get it

BartSMP [9]

You add each step from +5 to +10 to get 55

7 0

4 years ago

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.

NARA [144]

Answer:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

7 0

3 years ago

Read 2 more answers