• ### Find all solutions in the interval?

Best answer: 4*sin^2(x) - 1 = 0 4*sin^2(x) = 1 sin^2(x) = 1/4 sin(x) = +/- 1/2 asin(1/2) = 0.523598776(pi/6) + 2pik and 2.617993878 (pi-pi/6) + 2pik in this range , 0.5236 and 2.618 asin(-1/2) = -0.523598776(-pi/6) + 2pik and 3.665191429 (pi - (-pi/6) + 2pik in this range asin(-1/4) = -0.523598776 + 2pi and 3.665191429... show more
Best answer: 4*sin^2(x) - 1 = 0 4*sin^2(x) = 1 sin^2(x) = 1/4 sin(x) = +/- 1/2 asin(1/2) = 0.523598776(pi/6) + 2pik and 2.617993878 (pi-pi/6) + 2pik in this range , 0.5236 and 2.618 asin(-1/2) = -0.523598776(-pi/6) + 2pik and 3.665191429 (pi - (-pi/6) + 2pik in this range asin(-1/4) = -0.523598776 + 2pi and 3.665191429 asin(-1/4) = 5.759586532 and 3.665191429 asin(-1/4) (rounded) = 3.6652 and 5.7596 so all four values in order 0.5236, 2.6180, 3.6652, 5.7596
3 answers · Mathematics · 21 hours ago
• ### How can i find the minimum and maximum values of this function without a graphing calculator.?

Best answer: Use calculus Find where the 1st derivative = 0 d( 6cos^2(x)) = 12*cos(x)*-sin(x) = -6*sin(2x) d( -6sin(x)cos(x) ) = -6(sin(x)*(-sin(x) ) + cos(x)*cos(x)) d( -6sin(x)cos(x) ) = -6 (cos^2(x) - sin^2(x) ) d(-6sin(x)cos(x) ) = -6cos(2x) f'(x) = -6*sin(2x) - 6*cos(2x) so when does equal 0 -6*sin(2x) - 6*cos(2x) = 0... show more
Best answer: Use calculus Find where the 1st derivative = 0 d( 6cos^2(x)) = 12*cos(x)*-sin(x) = -6*sin(2x) d( -6sin(x)cos(x) ) = -6(sin(x)*(-sin(x) ) + cos(x)*cos(x)) d( -6sin(x)cos(x) ) = -6 (cos^2(x) - sin^2(x) ) d(-6sin(x)cos(x) ) = -6cos(2x) f'(x) = -6*sin(2x) - 6*cos(2x) so when does equal 0 -6*sin(2x) - 6*cos(2x) = 0 6sin(2x) = -6*cos(2x) sin(2x)/cos(2x) = -6/6 tan(2x) = -1 atan(1) = -pi/4 + pik 2x = -pi/4 +pik x = -pi/8 +(pi/2)k check values in original equation f(-pi/8) = 6*cos^2(pi/8) - 6*sin(pi/8)*cos(pi/8) = 7.242640687 f(3pi/8) = 6*cos^2(3pi/8) - 6*sin(3pi/8)*cos(3pi/8) = -1.242640687 f(7pi/8) = 6*cos^2(7pi/8) - 6*sin(7pi/8)*cos(7pi/8) = 7.242640687 f(11pi/8) =6*cos^2(11pi/8) - 6*sin(11pi/8)*cos(11pi/8)= -1.242640687 so it appears maximums are at (-pi/8 + pik, 7.242640687 ) where k is an integer and minimums are at (3pi/8 + pik, -1.242640687) where k is an integer
2 answers · Mathematics · 23 hours ago
• ### Can someone please explain this to me, how is it 2.624?

Yes, you don't even have to interpolate this value is read directly out of the table That is if the table has a one-tailed alpha = 0.01 column If your table only has two-tailed alpha values, Remember, two-tailed alpha value = one-tailed alpha/2 one-tailed alpha = 2*two-tailed alpha value = 2*0.01 = 0.02 see the table shown below show more
Yes, you don't even have to interpolate this value is read directly out of the table That is if the table has a one-tailed alpha = 0.01 column If your table only has two-tailed alpha values, Remember, two-tailed alpha value = one-tailed alpha/2 one-tailed alpha = 2*two-tailed alpha value = 2*0.01 = 0.02 see the table shown below
2 answers · Mathematics · 1 day ago
• ### Who won the NCAA basketball - men's and women's - this year?

Best answer: Virgina (Men's) and Baylor(Women's)
Best answer: Virgina (Men's) and Baylor(Women's)
• ### Updated my cpmputer removed my office 365?

If you have Office 365 , you should have an online license. Sign into your microsoft account on the microsoft website , then click on Services and Subscriptions which should bring you here. https://account.microsoft.com/services/ It should show your Office 365 license and allow you to reinstall it.
If you have Office 365 , you should have an online license. Sign into your microsoft account on the microsoft website , then click on Services and Subscriptions which should bring you here. https://account.microsoft.com/services/ It should show your Office 365 license and allow you to reinstall it.
4 answers · Software · 2 days ago
• ### If 123.17 divided by 2 the answer is 61.858 how do I turn the 848 into mins and hours ? Whatβs the total answer?

What are you original units? normally here you take the remainder and multiply by 60 since there are 60 minutes in a hour and there are 60 seconds in a minutes multiply 0.858 X 60 = 51.48 hours (or minutes) 0.48*60 = 28.8 minutes ( or seconds) 51 hours and 28 minutes
What are you original units? normally here you take the remainder and multiply by 60 since there are 60 minutes in a hour and there are 60 seconds in a minutes multiply 0.858 X 60 = 51.48 hours (or minutes) 0.48*60 = 28.8 minutes ( or seconds) 51 hours and 28 minutes
5 answers · Mathematics · 2 days ago
• ### Using the Intermediate Value Theorem prove that for any real number c the polynomial p(x) = x^3+2x+c has a real root.?

1st you know that p(0) = c so (0,c) is point on the curve Let's take 3 cases c < 0, c> 0 and c =0 if c is positive (c>0) the limit p(x) x -> -infinity x^3 +2x +c is dominated by the x^3 term, so when x is negative , then x^3 is negative so if c is positive you have point (0,c) and (-infinity, a negitive number) by... show more
1st you know that p(0) = c so (0,c) is point on the curve Let's take 3 cases c < 0, c> 0 and c =0 if c is positive (c>0) the limit p(x) x -> -infinity x^3 +2x +c is dominated by the x^3 term, so when x is negative , then x^3 is negative so if c is positive you have point (0,c) and (-infinity, a negitive number) by the intermediate value theorem the function must equal zero somewhere between 0 and negative infinity Which by definition means p(x) has a negative real root if c is negative (c>0) the limit p(x) x -> +infinity x^3 +2x +c is dominated by the x^3 term, so when x is positive , then x^3 is positive so if c is negative you have point (0,c) and (+infinity, positive real number by the intermediate value theorem the function must equal zero somewhere between 0 and +infinity Which by definition means p(x) has a positive real root case 3 , c=0 p(x) = x^3 +2x = x(x^2 +2) p(-1) = -1 + -2 =-3 p(1) = 1 + 2= 3 so it has points ( -1,-3) and (1,3) so by the intermediate value theorem it takes on every value between -3 and 3 between x=-1 and x = 1 so it has a real root between x=-1 and x=1
3 answers · Mathematics · 2 days ago
• ### Were you upset at the ending of "10 Cloverfield Lane"?

Best answer: I disliked the ending. It is definitely an unfinished story. So unless there is a sequel finishing the story, it was terrible. Or Should we just think the great aliens took over the world? Yeah them!
Best answer: I disliked the ending. It is definitely an unfinished story. So unless there is a sequel finishing the story, it was terrible. Or Should we just think the great aliens took over the world? Yeah them!
2 answers · Movies · 2 days ago
• ### Find the 17th term of the arithmetic sequence with the terms a1=-7 and d=3?

a(n) = a_1 + (n-1)d a(17) = -7 + (17-1)3 = -7 + (16)*3 = 41
a(n) = a_1 + (n-1)d a(17) = -7 + (17-1)3 = -7 + (16)*3 = 41
4 answers · Mathematics · 2 days ago
• ### Factoring trinomial when a>1?

Just use the distributive rule or FOIL to show what you are saying does not work. (x-2)(x-2) = x^2 -2x -2x + 4 = x^2 -4x + 4 (that's not right) (2x-1)(2x-1) = 4x^2 -2x -2x + 1 = 4x^2 -4x + 1 take the four you get the x^2 is multiplied by 4 and in your case , it stays as 1 so if you take the 4 out 4*(x^2 -x + 1/4) now you can... show more
Just use the distributive rule or FOIL to show what you are saying does not work. (x-2)(x-2) = x^2 -2x -2x + 4 = x^2 -4x + 4 (that's not right) (2x-1)(2x-1) = 4x^2 -2x -2x + 1 = 4x^2 -4x + 1 take the four you get the x^2 is multiplied by 4 and in your case , it stays as 1 so if you take the 4 out 4*(x^2 -x + 1/4) now you can factor the x^2 -x + 1/4 normally (x-1/2)(x-1/2) You get 4(x-1/2)(x-1/2) 2*2*(x-1/2) (x-1/2) now mulltiply each x-1/2 by a two (2x-1)(2x-1)
4 answers · Mathematics · 2 days ago
• ### Discrete math - The ceiling of a real number x, denoted by βπ₯β, is the unique integer that satisfies the inequality?

1st ceiling of a negative ceiling means round to next larger integer -4.8 the next larger integer is -4 -5 is smaller than -4.8 -4 is larger than -4.8 -5 < -4< -3< -2< -1 while 1<2<3<4 < 5 Ceiling of a negative number is larger so -4.8 maps to -4 -4.7 maps to -4 -4.1 maps to -4 -4 maps to -4 -3.9 maps to... show more
1st ceiling of a negative ceiling means round to next larger integer -4.8 the next larger integer is -4 -5 is smaller than -4.8 -4 is larger than -4.8 -5 < -4< -3< -2< -1 while 1<2<3<4 < 5 Ceiling of a negative number is larger so -4.8 maps to -4 -4.7 maps to -4 -4.1 maps to -4 -4 maps to -4 -3.9 maps to -3 β (6.3 β β5.7 + ββ4.8ββ) β β (6.3 β β5.7 -4 ββ [ 6.3 - β1.7 ββ 2 is the next larger integer than 1.7 [ 6.3 - 2β [ 4.3β 5 is the next larger integer than 4.3
2 answers · Mathematics · 2 days ago
• ### Write The Partial Fraction Decomposition?

3/ (x^2 -8x+7) = A/ (x-7) + B / (x -1) multiply both sides by (x^2-8x +7) 3 = A(x-1) + B(x-7) 3 = Ax +Bx - A -7B A+B = 0 A =-B -A -7B = 3 but A= -B +B -7B = 3 -6B = 3 B = -1/2 A = +1/2 3/ (x^2 -8x +7) = +1/(2(x-7)) -1/(2(x-1)) rearranging = +1/ (2x-14) - 1/ (2x-2) so partial fraction is = +1/ (2x-14) - 1/ (2x-2) show more
3/ (x^2 -8x+7) = A/ (x-7) + B / (x -1) multiply both sides by (x^2-8x +7) 3 = A(x-1) + B(x-7) 3 = Ax +Bx - A -7B A+B = 0 A =-B -A -7B = 3 but A= -B +B -7B = 3 -6B = 3 B = -1/2 A = +1/2 3/ (x^2 -8x +7) = +1/(2(x-7)) -1/(2(x-1)) rearranging = +1/ (2x-14) - 1/ (2x-2) so partial fraction is = +1/ (2x-14) - 1/ (2x-2)
2 answers · Mathematics · 2 days ago
• ### Which movie is this picture from?

Best answer: It is from the movie "Momento" (Google image search found it) Link to other image from the movie You can see this image is showing the same building . This image is from IMDB from the 2000 Momento . https://www.imdb.com/title/tt0209144/med... Main IMDB page https://www.imdb.com/title/tt0209144/
Best answer: It is from the movie "Momento" (Google image search found it) Link to other image from the movie You can see this image is showing the same building . This image is from IMDB from the 2000 Momento . https://www.imdb.com/title/tt0209144/med... Main IMDB page https://www.imdb.com/title/tt0209144/
3 answers · Movies · 2 days ago
• ### If m,n are integers, how many solutions are there to n^2+n+1=m^3?

Best answer: If negative values are allowed, I can find 4 solutions at least. 4 solutions are n=0, m = 1 (based on commenter) n = -1 , m = 1 n = 18 , m = 7 n = -19, m = 7 n^2 + n +1= 18^2 + 18+ 1 = 343 m^3 = 7^3 = 343 (-1)^2 + -1 + 1 = 1 (1)^3 = 1 (-19)^2 + 19 + 1 = 343 (7)^3 = 343
Best answer: If negative values are allowed, I can find 4 solutions at least. 4 solutions are n=0, m = 1 (based on commenter) n = -1 , m = 1 n = 18 , m = 7 n = -19, m = 7 n^2 + n +1= 18^2 + 18+ 1 = 343 m^3 = 7^3 = 343 (-1)^2 + -1 + 1 = 1 (1)^3 = 1 (-19)^2 + 19 + 1 = 343 (7)^3 = 343
1 answer · Mathematics · 2 days ago

Best answer: What is your definition of a piecewise linear ? One site says it is not piecewise linear unless all segments are connected. However, I'm not sure that the definition everywhere. This function has a jump but it could be just explained as rounding error. They need to visit the IRS for help part 2 should say 350 + 1.4... show more
Best answer: What is your definition of a piecewise linear ? One site says it is not piecewise linear unless all segments are connected. However, I'm not sure that the definition everywhere. This function has a jump but it could be just explained as rounding error. They need to visit the IRS for help part 2 should say 350 + 1.4 percentage of the price of the house over 25000 part 3 should say 2870 + 2.4 percentage of the price of the house over 130000 part 4 causes a jump probably due to rounding error. linear y = mx + b because each range can be mapped as a constant1 + (percentage/100)*(price of the house - constant2) b = constant1 + (percentage/100)*constant2 m = percentage/100 p = price of the house indepedent variable and but some definitons of piecewise require the endpoints to to overlap and last set do not. 1st range (0-25000) D = 0.014p for 0<= p < 25000 2nd (25000-130000) D = 350 + 0.024(p-25000) for 25000= p < 130000 3rd range (for 130000-960000) D = 2870 + 0.06(p-130000) for 130000<=p <= 960000 4th range D = 0.055p for p > 960000 So according to one definition , you have prove that the endpoints match which the other answer has done. 1st endpoints 0.014*25000 = 350 350 + 0.025*(25000-25000) = 350 2nd 350 + 0.025*(130000-25000) = 2870 2870 + 0.06*(130000-130000) = 2870 3rd 2870 + 0.06(960000-130000) = 52760 960000*0.055 = 52800 so if your definition does not require the segment to connect, it is piecewise linear if your definition requires the endpoints connect then, it isn't piecewise linear. That is unless you make an exception saying this just cased by rounding error . It would be piecewise linear, if 5.4958333 % but you had to round to 5.5% so people could calculate it easier.
3 answers · Mathematics · 2 days ago
• ### Who sings that one song that goes (Carrey a laser down the road I must follow carrying a laser in the darkness of the night)?

Best answer: This is mishearing of the song Kyrie by Mr. Mister (singer : Richard Page)
Best answer: This is mishearing of the song Kyrie by Mr. Mister (singer : Richard Page)
1 answer · Lyrics · 3 days ago
• ### What are the lyrics in the video below (only 3 seconds) from 1:09 to 1:12. Song by the drummer who is sitting down. Right after he sings..?

According to lyrics site and maybe I hear it too. Oh, Lord, Oh
According to lyrics site and maybe I hear it too. Oh, Lord, Oh
1 answer · Lyrics · 3 days ago
• ### Statistics Math Questions?

Fixed typo (you to your) and Y/A hid the answer so see image.
Fixed typo (you to your) and Y/A hid the answer so see image.
2 answers · Mathematics · 3 days ago
• ### What is the rate of postage per stamp now?

As of January 27, it rose to 55 cents (from 50 cents) https://www.stamps.com/usps/postage-rate... Other rates https://www.usps.com/business/prices.htm
As of January 27, it rose to 55 cents (from 50 cents) https://www.stamps.com/usps/postage-rate... Other rates https://www.usps.com/business/prices.htm
2 answers · Mathematics · 3 days ago
• ### Some parts of it was different by lyrics. help me understand those parts. My friends keep teling.. https://m.youtube.com/watch?v=7JyNK8R36ag?

Best answer: Different than what? What a lyrics site said? I modified metrolyrics value to places where I heard it different This is closer to what she sings here Tell us where you have issues. ==== You're a no good heart breaker You're a liar and you're a cheat And I don't know why I let you do these things to me My friends keep... show more
Best answer: Different than what? What a lyrics site said? I modified metrolyrics value to places where I heard it different This is closer to what she sings here Tell us where you have issues. ==== You're a no good heart breaker You're a liar and you're a cheat And I don't know why I let you do these things to me My friends keep telling me They say Aretha the man ain't no good But oh, they don't know That I'd leave you if I could I guess I'm uptight And I'm stuck like glue Cause I ain't never (never) I said I ain't never, I said I ain't never, no, no Loved a man The way that I I love you Some time ago I thought He had run out of fools But I was so wrong Yes, I was You got one that you'll never lose The way you treat me was a shame How could ya do me so bad Well Baby, you know that I was the sweetest thing That you ever had You know what I'm saying Kiss me once again Don't ya never, never say that we we're through Cause I ain't never Never, Never I ain't never loved a man the way that I, I love you) I can't sleep at night No No And I can't even fight I guess I'll never be free Since he got he got his hooks, in me Whoa, oh, oh Yeah! Yeah! Never Never Never Never Said I ain't never I ain't never loved a man Never Never I ain't never loved a man I got to hold him (hold him) (hold him) I got to hold him (hold him) (hold him) Never Never Never Never Never Never I ain't never (never, never) Never loved a man the way that I I I loved you I ain't never lovel a man the way that I I I loved you
1 answer · Performing Arts · 3 days ago