Does anybody know this????

Mathematics

1 answer:

jekas [21]2 years ago

3 0

F(x) = 2 * 2 ^x

f(-2) = 2 * 2^-2

f = 0.5

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The formula to determine the period of one swing of a simple pendulum is T=2π√L/g, where L is the length of the string and g is

ozzi

Answer:

T^2 = 4π^2 * L / g^2

L = T^2 * g^2 / 4*PI^2

Step-by-step explanation:

3 0

2 years ago

Which of the following are solutions?

zloy xaker [14]

This is a quadratic equation. There's a shortcut (two shortcuts really) called the Shakespeare Quadratic Formula (2b or -2b) applicable when the middle term is even:

$x^2 - 2bx + c \textrm{ has zeros } x= b\pm \sqrt{b^2-c}$

$ax^2 - 2bx + c \textrm{ has zeros } x= \dfrac 1 a( \left b\pm \sqrt{b^2-ac} \right)$

OK, our problem is

$9x^2 - 6x -7 = 0$

$x = \frac 1 9 (3 \pm \sqrt{9-(9)(-7)}) = \frac 1 9(3 \pm \sqrt{72})= \frac 1 9(3 \pm 3 \sqrt{8}) = \frac 1 3(1 \pm \sqrt 8)$

Typically we'd write $\sqrt 8 = 2 \sqrt 2$ but the answers here don't so we won't either.

Answer: C and D

7 0

2 years ago

The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72

Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

The inequality that represent this situation is

$3(7)+3.5(x)\leq 72$