Since g(x) is a polynomial of degree five, g(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f. Then a + b + c + d + e + f = 2, 32a + 16b + 8c + 4d + 2e + f = 3, and so on. Solving, we get a = -1/30, b = 1/2, c = -17/6, d = 15/2, e = -122/5, and f = 5, so g(0) = 5.
Let us see if we can make some sense out of this !!
I don't think that ( a +b)^-1 is always congruent to a^-1 + b^-1 mod m.
Let us use your example:
(2 + 3)^-1 mod 7 =
3 mod 7 = 3, which is your L
While 2^-1 + 3^-1 mod 7 =
4 + 5=9 mod 7 =2, which is your R
So, L - R = 3 - 2 =1
Angle HCA is congruent to angle BAH = 26 degrees.
The surface area of a sphere with the radius r is 4 pi r^2. Including the area of its circular base, what is the total surface area of a hemisphere with the radius 6 cm? Express your answer in terms of pi.
Die Oberfläche einer Kugel mit dem Radius r beträgt 4 pir ^ 2. Wie groß ist die Gesamtfläche einer Halbkugel mit einem Radius von 6 cm einschließlich der Fläche ihrer kreisförmigen Basis? Drücken Sie Ihre Antwort in Form von pi aus.
Hello tommarvoloriddie!
\(A_{hemisphere}=\frac{1}{2}\cdot A_{sphere}+A_{circle}\\ A_{hemisphere}=\frac{4\cdot \pi\cdot r^2}{2}+\pi\cdot r^2\\ A_{hemisphere}=3\cdot \pi \cdot r^2\)
\(A_{hsph\ r=6cm}=3\cdot \pi \cdot (6cm)^2=108cm^2\cdot \pi=339.292cm^2\)
!
Don't overthink it...... if total surface area is 4 pi r^2 you want 1/2 of this 2 pi r^2 = 72 pi
The way the question is worded is a bit unclear.....I think you may be right, you will need to add the area of the base (the' cut' area of the sphere)
(pi r^2) (2 pi r is the circumference)
Wait: Don't I need to calculate the circle:
so that would be
2pir
12pi+72pi
84pi?
Wooot!
Thx!
So I am right~
Thank you!
Yeppers....you got it !
*****************
2* pi *6^2
2*pi*36
72pi
Am I right?
yay so I get this:
L =Length of the rectangle.
Ratio = k*(sqrt(5) - 1) / L = L / [k*(sqrt(5) - 1) + L]
Area = 50*(sqrt(5) - 1) =k*(sqrt(5) -1) * L
Width =6.18
k = 5 and L = 10
Absolutely !
Haha...assuming the body is 100% water (as you asked)...the number of cells is ZERO !
Am I correct about halving the equation?
Just put in the value given to you for r
T_T
I use both but I keep mixing them up. If only if we had to run one km instead of a mile...
Yes, at some point in time the Americans decided to get rid of some of the illogical spelling in the English language.
So there are now two recognised subsets of written English. The english one and the USA one. I am Australian so the correct one for me to use is the English one.
To bad Americans can't extend their logic and get rid of their imperial units of measure.
Most other countries got rid of those around 40 years ago.
I answered this yesterday.
Look back at older questions to find it.
It's interesting, I used to spell color like colour here in the US, and my teachers said that was wrong...
We speak the same language, yet its different...
Idk just something interesting on my part...
\(x=1+\dfrac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{2+...}}}}\\ x-1=\dfrac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{2+...}}}}\\ x-1=\dfrac{1}{1+\frac{1}{2+(x-1)}}\\ x-1=\dfrac{1}{\frac{2+x-1+1}{2+x-1}}\\ x-1=\dfrac{1}{\frac{2+x}{1+x}}\\ x-1=\dfrac{1+x}{x+2}\\ (x-1)(x+2)=x+1\\ x^2+x-2=x+1\\ x^2=3\\ x=\pm\sqrt3\)
The answer must be positive so the only valid andwer is \(x=\sqrt3\)
The average cell in the human body weighs about 1 nonogram [10^-9 grams]. Or 1 gram =10^9 cells.
So, 74 kilograms x 1,000 grams x 10^9 cells =74 x 10^12 cells. But, because there are dozens of different types of cell in the human body, the actual number is about 1/2 the above figure or about 37 x 10^12 cells.
Color coding?
I should try that next time.
I pushed out the sides as well but got confused on one side.
Thank you for verifying my answer!
:)
This short computer code gives the value of:
c=1E100; listforeach(b,reverse(1, 2, 1, 2, 1, 2), c=b + 1/c)
Sqrt(3) =1.7320508075688772935274463415059......
P.S. One of the moderators will solve it algebraically.
!
