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3 years ago

Hunter is filling a 3.5-gallon

1 answer:

6 0

You would add the faucet rate to the hose rate (1.75+1.45=3.2) and then divide it by 3.5 (3.5/3.2) which is equalivent to around 1.1.

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Cuantos es 3000 + 2000 +5000

pychu [463]

Answer:

10000 if I'm right...maybe

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3 years ago

The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl

xeze [42]

Answer:

The traveler can plan such a tour in 3003 ways.

Step-by-step explanation:

The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, we have that:

Combinations of 5 cities from a set of 15. So

$C_{15,5} = \frac{15!}{5!10!} = 3003$

The traveler can plan such a tour in 3003 ways.

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3 years ago

How would you prove this trigonomic identity? Please show steps.

Agata [3.3K]

Start by combining the fractions:

$\dfrac{\cos\alpha}{1+\sin\alpha}\cdot\dfrac{1-\sin\alpha}{1-\sin\alpha}+\dfrac{\cos\alpha}{1-\sin\alpha}\cdot\dfrac{1+\sin\alpha}{1+\sin\alpha}$

$\dfrac{\cos\alpha(1-\sin\alpha)+\cos\alpha(1+\sin\alpha)}{(1+\sin\alpha)(1-\sin\alpha)}$

$\dfrac{2\cos\alpha}{1-\sin^2\alpha}$

Recall the Pythagorean identity:

$\dfrac{2\cos\alpha}{\cos^2\alpha}$

Then cancel a factor of $\cos\alpha$ and use the definition of secant:

$\dfrac2{\cos\alpha}=\boxed{2\sec\alpha}$

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3 years ago

Express the plane z = x in terms of spherical and cylindrical coordinates

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2 years ago

Please help!! will mark brainliest!!!!

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I would stand up for the rights of people that others consider different. Everyone is equal and everyones rights should be respected.

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3 years ago

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