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What is 4t2 minus 16 over 8 divided by t minus 2 over 6 simplified?
(4t2 - 16)/8 ÷ (t - 2)/6 = [4(t2 - 4)/8] x 6/(t - 2) = (t2 - 22)/2 x 6/(t - 2) = (6/2)[(t + 2)(t - 2)/(t - 2)] = 3(t + 2) = 3t + 6
How many possible outcomes of tossing a coin and rolling a 6-sided number cube with a tree diagram?
There are 12 possible outcomes: ....................................................... ............................./---- 1 = H + 1 ..... ............................/.......................... .........................../../--- 2 = H + 2 ..... ........................../../......................... ........................./../../-- 3 = H + 3 ..... .............../-- H _/_/_/......................... ............../.........\..\..\-- 4 = H + 4 ...... ............./...........\..\.......................... ............/.............\..\--- 5 = H + 5 ...... .........../...............\........................... ........../.................\---- 6 = H + 6 ...... ........./............................................. .........\............................................. ..........\................./---- 1 = T + 1 ...... ...........\.............../........................... ............\............./../--- 2 = T + 2 ...... .............\.........../../.......................... ..............\........./../../-- 3 = T + 3 ...... ...............\-- T _/_/_/......................... ........................\..\..\-- 4 = T + 4 ...... .........................\..\.......................... ..........................\..\--- 5 = T + 5 ...... ...........................\........................... ............................\---- 6 = T + 6 ...... .......................................................
How do I simplify the expression 3 sqrt(t4) over 6 sqrt(t4)?
To simplify the expression (\frac{3 \sqrt{t^4}}{6 \sqrt{t^4}}), first note that (\sqrt{t^4} = t^2). This allows us to rewrite the expression as (\frac{3t^2}{6t^2}). Since (t^2) is common in both the numerator and denominator, it cancels out, resulting in (\frac{3}{6}), which simplifies to (\frac{1}{2}). Thus, the final simplified expression is (\frac{1}{2}).
What is a number which is a square number and triangle number?
36 = 62 = Triangle(8) The triangle number formula: T(n) = (n2+n)/2. Here is T(8) graphically: . 1 = T(1) = 1 .. +2 = T(2) = 3 ... +3 = T(3) = 6 .... +4 = 10 ..... +5 = 15 ...... +6 = 21 ....... +7 = 28 ........ +8 = 36 36 = 62, graphically: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
What number is next in this sequence1 1 2 3 3?
If you fit the following cubic t(n) = (-n3 + 9n2 - 20n + 18)/3 where n = 1, 2, 3, ... then the next number is t(6) = 1
What is T plus 2over 3plus T-4over6?
(t + 2)/3 + (t - 4)/6 (the common denominator 6) = [(t + 2)(2)]/(3)(2) + (t - 4)/6 = (2t + 4)/6 + (t - 4)/6 = (2t + 4 + t - 4)/6 = 3t/6 = t/2
What is 4t2 minus 16 over 8 divided by t minus 2 over 6 simplified?
(4t2 - 16)/8 ÷ (t - 2)/6 = [4(t2 - 4)/8] x 6/(t - 2) = (t2 - 22)/2 x 6/(t - 2) = (6/2)[(t + 2)(t - 2)/(t - 2)] = 3(t + 2) = 3t + 6
How do you factor 3t2 - 3t - 6?
3(t - 2)(t + 1)
How can a recursive pattern go from 3 to 4 to 6 to 10 then 18?
t(1) = 3 t(n) = t(n-1) + 2(n-2) for n = 2, 3, 4, ...
What are the factors of t4 - 81?
t^4 - 81 = (t^2)^2 - (3^2)^2 = (t^2 - 3^2)(t^2 + 3^2) = (t - 3)(t + 3)(t^2 + 9)
What is a number which is a square number and triangle number?
36 = 62 = Triangle(8) The triangle number formula: T(n) = (n2+n)/2. Here is T(8) graphically: . 1 = T(1) = 1 .. +2 = T(2) = 3 ... +3 = T(3) = 6 .... +4 = 10 ..... +5 = 15 ...... +6 = 21 ....... +7 = 28 ........ +8 = 36 36 = 62, graphically: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Given the sequence 2 6 18 54 which expression shown would give the fifteenth term?
T(n) = 2/3 x 3n T(15) = 2/3 x 315
T plus 8 equals 2-3t?
t+8 = 2-3t add 3t to both sides: 4t+8 = 2 take 8 away from both sides: 4t = -6 divide both sides by 4: t = -6/4 = -3/2
What is the rule for the sequence of 6 12 18 24?
t(n) = 6*n where n = 1, 2, 3, etc
How many phonemes are there in the word it?
Phonemes are speech sounds, and in the word "it" there are just two phonemes - i / t.
What is 1 8 4 S 5 4 9 A 3 1 5 9 F 4 E 6 2 1 T 3 3 2 8 Y 2 1 6 7?
It is an alphanumeric sequence.
What is the answer to 3t - 15 equals -9?
3t - 15 = -9 3t - 15 (+15) = -9 (+15) 3t = 6 3t (/3) = 6 (/3) t = 2
