The exponential growth is:
1,4, and 5
Since they are increasing exponentially
Answer:
The answer is 39 degrees by 6:00 in the evening.
Step-by-step explanation:
Since it is 2:00 in the afternoon and there is 4 hours, with 8 degrees dropping every hour, 8 times 4 equals 32, so 71 degrees minus 32 degrees is 39 degrees.
Answer:
x = +√96 = +√(16*6) = + 4√6
Step-by-step explanation:
Note that this is a large triangle with 2 smaller, similar triangles inside. The base of the large triangle is 10, so the base of either of the smaller triangles is half that, or 5. These are all right triangles. We can now apply the Pythagorean Theorem to find x.
According to this Theorem, x² + 5² = 11², so that x² = 121 - 25 = 96.
Taking the positive square root to be the desired side length x,
x = +√96 = +√(16*6) = + 4√6
Part A
After dividing the first two terms by the coefficient of n², the coefficient of the linear term is -6, so we can complete the square by adding (and subtracting) the square of half that: (-6/2)² = 9.
... g(n) = n² -6n + 9 + 16 - 9
... g(n) = (n -3)² +7 . . . . . . . rewrite to vertex form
Part B
The generic vertex form is
... y = a(x -h)² +k . . . . . . for vertex (h, k) and vertical expansion factor "a"
Comparing this to g(n), we see a=1, h=3, k=7. When a > 0, the parabola opens upward, and the vertex is a minimum. Here, we have a > 0, so we can conclude ...
... the vertex (3, 7) is a minimum
Part C
The axis of symmetry is the vertical line through the vertex.
... x = 3
Answer:
Step-by-step explanation:
Numbers: HCF of 18 and 30
18: 2 * 3 * 3
30:2 * 3 * 5
HCF: 2 and 3 = 6
a: a * a and a.
HCF = a
b: b
c: c and c*c
HCF: C
Answer: 6*a*b*c(3a + 5*c)
Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.
