Step-by-step explanation:
common ratio is usually used for geometric sequences.
every term is created by multiplying the previous term by a certain constant factor (= common ratio).
this factor or common ratio is in our case 4.
such a sequence is a function f(x) for x being whole numbers.
a0 = 1
a1 = a0×4 = 1×4 = 4
a2 = a1×4 = 4×4 = 16
...
an = 4^n
as general function that is then
f(x) = 4^x
a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.
e.g. f_new(6) = f_old(0)
so, the function is
f(x) = 4^(x - 6) or (4^x)/4⁶
Answer:
7 . 8.9
8 . 19.5
9 . 9.9
10 .12.6
Step-by-step explanation:
7.x=11tan39
8.x=28cos46
9.x=8tan51
10.x=31sin24
side opposite of mentioned angle is opposite
longest side in triangle is hypotenuse
the side subtended by the angle is the adjacent
In multiplying fractions, you multiply the numerators and denominators.
51 / 2 * 21 / 3
can be reduced as
(17 / 2) * (21 / 1)
357 / 2 --> This is the answer based on the given.
Assume that its a mixed fraction:
5 1/2 * 2 1/3
11/2 * 7/3
= 77 /6