Thanks for all these great answers.
1/12 of 360 = 30 degrees
30/360 * total circumference = distance along edge between hands
1/12 * pi * 48 cm = 4pi cm
For f(x) + c*g(x) to have degree 3, the order 4 terms must vanish. So
5x4 + c*9x4 = 0
Can you take it from here?
2 pizzas = 1 pizza + 1 pizza
5/6 * 1 pizza + 6/8 * 1 pizza
5/6 + 6/8 = 20/24 + 18/24 = 38/24 = 1 14/24 = 1 7/12 pizza
s(1) means t(x) = 1
Since t(x) = 3x - 8, we want 3x - 8 = 1, so x = 3
Hence s(1) = 32 + 3*3 -2 = ...
The following graph should help:
Plug in x = 1: s(1) = 1^2 + 3*1 - 2 = 2.
Geometric sequence
First term = 15
Common ratio = 3
Nth term = 15*3^(n - 1)
Answer for n = 5 is 15*3^4 = 1215
D) 3,5
By the quadratic formula, the sum of all possible values of g(8) is 17.
This is a simple geometric series problem: The organization has 15 people, so in the nth year, it will have 15*3^(n - 1) people. So in the fifth year, it will have 1215 people.
domain = {\({x \in R : 1 \le x \le 4}\)}
Thank you so much!!
Guest's answer is correct!!!
5 * (945 / 9) = 525 girls
8 * [sqrt(r2 + 252)] = (r - 25)(r + 25)
100 + 5n < 340
Yes, but ONLY if her favorite number is of this form:
a(n) =2n^2. So, for numbers 1, 2, 3, 4, 5, 6, 7, 8,9, 10............etc
2*1^2 =2, 2*2^2=8, 2*3^2=18, 2*4^2 =32, 2*5^2=50............and so on.
Write down the quadratic equation whose roots are x = 1 and x = -7 and the coefficient of is 1.
X = 1 means that one of the factors is (X – 1) and
X = –7 means that the other factor is (X + 7)
Multiply them together (X – 1)(X + 7) and the equations is X2 + 6X – 7 = 0
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Clever solution!!!
I was using trig to solve it.
arcsin (-0.31) ≈ -18° = x
990/360 = 2.75 = 2 + 3/4 rotations
We will have two angles in each rotation where sin x = -0.31
360 - 18 = 342°
360 (3/4) = 270°
So....in the last rotation, we only have one angle value where sin x = -0.31
So.... 2(2) + 1 = 5 values of x
AC * AP = AB * AS
8(8 + PC) = 5 * 30
PC = 10.75
SP = sqrt(AS2 - AP2)
SC = sqrt(SP2 + PC2)
Area of a circle A = (SC/2)2 * pi
Sorry, but from my knowledge this is a math forum, maybe visit stack overflow or one of those coding websites. But I'm sure there are a few smarties that have coding as their forte
Area of right triangle =(1/2) (product of legs) = (1/2) (3 * 4) = (1/2)(12) =6
Area of triangle AGC = (1/2) AC * GC = (1/2) (5) (1/2) = 5/4
Area of triangle BGC = (1/2) BC * GP = (1/2) ( 4) (1) = 2
Area of triangle AGB = 6 - 5/4 - 2 = 4 - 5/4 = 11/4
Area of triangle AGB = (1/2) AB * RG
11/4 = (1/2) 3 * RG
11/4 = 3/2 * RG
RG = (11/4) (2/3) = 22/12 = 11/6 = distance from G to AB
f(0) = a/2
To find the inverse :
y = a / (x + 2) get x by itself
y ( x + 2) = a
xy + 2y = a
xy = a - 2y
x = (a -2y) / y swap x and y
y = (a - 2x ) / x = the inverse to f(x)
f-1 (3a) = (a -2(3a) ) / (3a) = -5a/ 3a = -5/3
Therefore
f(0) = f-1 (3a) gives us
a/2 = -5/3
a = 2 (-5/3) = -10/3
