Answer:
k = ![\frac{25}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B12%7D)
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log(
)
log a = log b ⇒ a = b
Given
logk - log(k - 2) = log25, then
log (
) = log25, thus
= 25 ( multiply both sides by (k - 2)
25(k - 2) = k
25k - 50 = k ( subtract k from both sides )
24k - 50 = 0 ( add 50 to both sides )
24k = 50 ( divide both sides by 24 )
k =
= ![\frac{25}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B12%7D)
The closed circle means the inequality is greater than or equal to (≥) or less than or equal to (≤)
An open circle means the inequality is greater than (>) or less than (<)
Since the arrow is pointing to the left towards increasingly lesser numbers, any “x” value will be at the beginning number of 2 or some value less than 2.
Answer: x≤2
Answer:
The apparent frquency would be
f' = 493.26 Hz
Step-by-step explanation:
This a Doppler's effect problem. This effects produces a slight change in the frequency of a traveling wave, due to the effect of the velocity of the receiver (observer).
The formula used to describe the change, as both vehicles are moving away of each other:
f' = [ (Vwave + Vobserver) / (Vwave + Vsource ) ]*f
Where
Vwave = 340 m/s ( speed of sound)
Vobserver = 18.6 m/s (observer = car)
Vsource = 23.5 m/s (speed of the ambulance = source)
f = 500 Hz (frequency of the sound)
We just need to substitute in the equation
f' = [(340+ 18.6) / (340+ 23.5)] * 500 Hz
f' = [0.9865] * 500 Hz = 493.26 Hz
f' = 493.26 Hz
Answer:
3.5132719e+24
Step-by-step explanation:
4/3 is not a valid fraction for this type of problem so I am going to assume that it is 3/4. If this is a case she will need 1 and 1/4 more cups of sugar.