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2 years ago

PLEASE HELP WILL MARK AS BRAINIEST!!!!!!!!!!

Mathematics

2 answers:

Airida [17]2 years ago

7 0

Group up the like terms and combine them

2x^2 and -7x^2 add up to -5x^2

6x and 2x add up to 8x

1 and -3 add up to -2

We end up with -5x^2 + 8x - 2

<h3>Answer: Choice B</h3>

PIT_PIT [208]2 years ago

3 0

your missing the exponent but

Step-by-step explanation:

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During the exponential phase, E. coli bacteria in a culture increase in number at a rate proportional to the current population.

NikAS [45]

Answer:

197.2 million

Step-by-step explanation:

The appropriate exponential equation for the population is ...

p(t) = 172.0e^(0.019t)

Then we can compute for t=7.2:

p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2

7.2 minutes from now, the population will be about 197.2 million.

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For continuous growth (or continuous compounding), the exponential formula is ...

f(t) = (value at t=0)×e^(rt)

where r is the growth rate in one unit of time, and t is the number of time periods.

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3 years ago

A woman is considering two companies from which to rent a truck. triangle truck rental charges $20 per day and 35 cents a mile.

Nikitich [7]

You can solve this question using two different methods. One is obviously a hit and trial method in which you keep guessing a number which gives the same amount of total cost. Second is forming two different equations and then solving them using simultaneous methods learnt.

The correct answer is 75 miles. I used the hit and trial method. You can see 20 + 75 * 0.35 = 46.25 and similarly 35 + 75 * 0.15 = 46.25. Hence the same cost.

7 0

2 years ago

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 $\tan(\beta)$ .

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2 years ago

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You have to do 3.14 times the diameter of the circle.

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3 years ago