Which is the logarithmic form of 9^2 = 81?

A12 means that the exponent of an arithmetic function is 12<br><br><br> TRUE or FALSE

allsm [11]

The answers is true

8 0

3 years ago

Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 3

fgiga [73]

Answer:

The piano was in the air for 18.34 seconds.

Step-by-step explanation:

The height of the piano after t seconds is given by the following equation:

$f(t) = -16t^{2} + 320t - 256$

Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.

Roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$f(t) = -16t^{2} + 320t - 256$

So

$a = -16, b = 320, c = -256$

$\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016$

$t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348$

$t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17$

Subtracting:

19.17 - 0.8348 = 18.34

The piano was in the air for 18.34 seconds.

6 0

3 years ago

If the number of CD's sold by Daniel's Discs on Day 7 was 25, how would the standard deviation compare to that of the original s

bekas [8.4K]

Damiel sold 12 more cds on the 7th day than the average over the first 6 days. to show work find the mean(average) of the 6 numbers. and subyract that from 25.

6 0

3 years ago

HELP PLEASE! AND IF YOU COULD PLEASE EXPLAIN IM CONFUSED

Damm [24]

In the given triangle, y = 32°.

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.

sin y = $\frac{oppositeside}{hypotenuseside}$ .