$\bf \cfrac{1}{4}n+12 \geqslant \cfrac{3}{4}n-4\implies \cfrac{1}{4}n+16 \geqslant \cfrac{3}{4}n\implies 16\geqslant \cfrac{3n}{4}-\cfrac{1n}{4}\implies 16\geqslant \cfrac{3n-1n}{4} \\\\\\ 16\geqslant\cfrac{2n}{4}\implies 16\geqslant \cfrac{n}{2}\implies 32 \geqslant n$

4 0

3 years ago

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What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?

ira [324]

Answer:

Step-by-step explanation:

The complex number 4 + 2i on the complex plane has coordinates (4,2) and the complex number 7 - 2i has coordinates (7,-2). Thus, the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is

$\sqrt{(4-7)^2+(2-(-2))^2}=\sqrt{(-3)^2+4^2}=\sqrt{9+16}=\sqrt{25}=5.$

6 0

4 years ago

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An object is dropped (g = 9.80 m/s ^ 2) and falls for 5.00 s before hitting the ground. How fan has the object fallen

mixer [17]

Answer:

122.5 m

Step-by-step explanation:

s = ½g.t²

= ½×9.8×5² = 122.5

5 0

3 years ago

Evaluate 1/6t+1/12 when t=1/2

max2010maxim [7]

Answer:

1/6

Step-by-step explanation:

You're welcome :)

6 0

3 years ago