HOMEWORK help center ||HWH||open!

[Catheren]

I HAVE A QUESTION!
TYPE OF QUESTION: Grammar
YOUR QUESTION: In this sentence "Considering the importance of clean water to the community the resounding question is how should we prevent saltwater intrusion in Monterey County?" should I leave it as is or should it read like this: "Considering the importance of clean water to the community the resounding question is 'How should we prevent saltwater intrusion in Monterey County?'"

[Stargazing]

I HAVE A QUESTION!
TYPE OF QUESTION: Grammar
YOUR QUESTION: In this sentence "Considering the importance of clean water to the community the resounding question is how should we prevent saltwater intrusion in Monterey County?" should I leave it as is or should it read like this: "Considering the importance of clean water to the community the resounding question is 'How should we prevent saltwater intrusion in Monterey County?'"

I believe it is the second one

[username by me]

I HAVE A QUESTION!
TYPE OF QUESTION: Grammar
YOUR QUESTION: In this sentence "Considering the importance of clean water to the community the resounding question is how should we prevent saltwater intrusion in Monterey County?" should I leave it as is or should it read like this: "Considering the importance of clean water to the community the resounding question is 'How should we prevent saltwater intrusion in Monterey County?'"

I believe it is the second one

I think it depends on what country you're writing in. For American English, single quotes are rarely used and should be avoided. In British English, you can use single quotes to offset a word. Offsetting a whole phrase is uncommon, but you might get away with using single quotes to offset a phrase in British English.

In American English, the entire phrase, "how should we prevent saltwater intrusion in Monterey County," is meerly the object of the verb "is," so it does not need the single quotation marks.

If possible, I would re-word the sentence to avoid the issue. Below are some examples using different methods to offset that phrase. (additionally, I would recommend a comma after the word "community" because it marks the end of an introductory phrase, but I believe this comma is optional)

Considering the importance of clean water to the community, one resounding question remains: how should we prevent saltwater intrusion in Monterey County?

(In the above example, a colon is used to join two independent clauses when the second independent clause explains the first)

Considering the importance of clean water to the community, residents wonder how we should prevent saltwater intrusion in Monterey County.

(Here, I made the question a statement. Instead of stating the question, I state the subject (residents) and what they are doing (verb = wonder). The object of the verb is the question that you are asking.

Considering the importance of clean water to the community, residents want to prevent saltwater intrusion in Monterey County but do not know the best method for prevention.

(Here, I re-worded the question as if it were a statement of a problem. Although I am not sure if my statement is entirely accurate (you can fix it and make it accurate), this style of writing that avoids informal questions is generally expected in an introduction, which is where it sounds like this sentence came from.)

[Catheren]

Thank you both!

[dovah]

I HAVE A QUESTION!
TYPE OF QUESTION: precalc
YOUR QUESTION: "find the standard form of the equation of the parabola."
focus at (10, -7), directrix y=-13

pls help we have a test on wednesday and i'm soo confused skk

[LostInTheEcho]

I HAVE A QUESTION!
TYPE OF QUESTION: precalc
YOUR QUESTION: "find the standard form of the equation of the parabola."
focus at (10, -7), directrix y=-13

pls help we have a test on wednesday and i'm soo confused skk

I hope this helps some. If there is something that I haven't explained well, feel free to ask. This site could be worth a read too.


I made a small error at first, it has been corrected.

[hannur]

I HAVE A QUESTION!
TYPE OF QUESTION: psychology
YOUR QUESTION: i'm currently taking pre-ib psychology and was looking for someone who is can answer my questions and help me understand difficult concepts!! hoping to ask frequent questions through pm and can definitely offer pets as payment <3 please pm me if you can help a psych student out

[ehearts]

I HAVE A QUESTION!
TYPE OF QUESTION:maths,
YOUR QUESTION:

Solve the following equation for 0≤ θ ≤ 360
2(sin θ ) ^ 2 - 3 sin θ + 1 = 0

thank you !

[Waki]

u

[username by me]

I HAVE A QUESTION!
TYPE OF QUESTION:maths,
YOUR QUESTION:

Solve the following equation for 0≤ θ ≤ 360
2(sin θ ) ^ 2 - 3 sin θ + 1 = 0

thank you !

This might be a bit late, but the idea is that you want to replace sin θ as x and solve it like a quadratic equation first. You can re-write the equation this way because sin θ is a function, so for any θ, you will get one and only one value of sin θ. Call that one value x.
If you re-write sin θ as x, you get the following:

2(x)^2 - 3x + 1 = 0

Now you can solve for x by factoring the equation:
(2x - 1)(x - 1) = 0

Now set each set of parentheses equal to zero and solve for x each time:
2x - 1 = 0 x - 1 = 0
2x = 1 x = 1
x = 1/2

(alternatively, you can use the quadratic equation to solve for x if factoring is not obvious to you)

Now that you have x = 1/2 and x = 1, replace sin θ with x and sole for θ:
sin θ = 1/2 sin θ = 1
θ = arcsin(1/2) θ = arcsin(1)

Now, just recall that arcsin(1/2) and arcsin(1) have fixed values with a domain of θ = [-90, 90].
If you use a calculator to solve this equation, you get the following:
arcsin(1/2) = 30 arcsin(1) = 90

However, you don't want values just between -90 and 90, you want values between 0 and 360. If you use the unit circle, you will notice that another angle will also give you arcsin(1/2), and that angle is 30 clockwise from the left horizontal, or 150 degrees (let me know if you need an explanation of why this is). There is no other angle that give you arcsin(1), also due to unit circle geometry.

Therefore, you have three angles between 0 and 360 that will solve this equation: 30, 90, and 150