Nestor designed a screen saver for his computer. It starts with 4 dots arranged in a square. After 5 seconds, each dot is replaced by 3 dots arranged in a triangle, giving 12 dots in total. After 5 more seconds, each dot is again replaced by 3 dots arranged in a triangle, giving 36 dots total. If the pattern continues, after how many seconds will there be at least 3,000 dots? Show your work.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

your answer   is c

step-by-step explanation: