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3 years ago

Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!

Mathematics

1 answer:

AnnyKZ [126]3 years ago

8 0

Mixture B because there’s a higher ratio of coffee to milk than in Mixture A (1:3 vs. 1:2)

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you just received an increase of 8% in pay. you normally get paid a salary check of $4000. how much will your next check be?

gayaneshka [121]

4000*.08=320

4000+320=4320

8 0

3 years ago

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles.

Troyanec [42]

It will be 21/40

probability getting both white marbles

3/8×4/10=12/80

probability getting both black marbles

5/8×6/10=30/80

12/80+30/80=42/80= 21/80

5 0

3 years ago

Read 2 more answers

Considering only the values of β for which sinβtanβsecβcotβ is defined, which of the following expressions is equivalent to sinβ

-Dominant- [34]

Answer:

$\tan(\beta)$

Step-by-step explanation:

For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.

${\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}$ and ${\sec(\theta)}={\dfrac{1}{\cos(\theta)}$

Recall the following reciprocal identity:

$\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{1}{ \left ( \dfrac{\sin(\theta)}{\cos(\theta)} \right )} =\dfrac{\cos(\theta)}{\sin(\theta)}$

So, the original expression can be written in terms of only sines and cosines:

$\sin(\beta)\tan(\beta)\sec(\beta)\cot(\beta)$

$\sin(\beta) * \dfrac{\sin(\beta) }{\cos(\beta) } * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) } {\sin(\beta) }$

$\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}$

$\sin(\beta) *\dfrac{1 }{\cos(\beta) }$

$\dfrac{\sin(\beta)}{\cos(\beta) }$

Working toward one of the answers provided, this is the tangent function.

The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to $\tan(\beta)$ .

8 0

2 years ago

9, 21, 7, 11, 13, 21, 5, 14, whats the range?

maria [59]

16 would be the range. The lowest value is 5, and the highest value is 21. You just subtract those two which gives you 16! (:

4 0

3 years ago

Read 2 more answers

Write 34.8% as a fraction in simplest form.

balandron [24]

Answer:

87/250