Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
The answer is square root of 39. 64-25=39
Answer:
£84
Step-by-step explanation:
The given ratios are ...
A : N = 2 : 1
N : J = 3 : 1
Putting these together, we have ...
A : N : J = 6 : 3 : 1
There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.
Angad's share is 6×£14 = £84.
_____
<em>Check</em>
Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.
A) tomatoes : chicken broth = 9:15 or 3:5
Tomatoes : spinach = 9:9 = 1:1
Spinach : chicken broth = 9:15 = 3:5
b) tomatoes : chicken broth = 4.5:7.5 = still 3:5
Tomatoes to spinach is still 1:1
Spinach : chicken broth 4.5:7.5 still = 3:5
Dividing all quantities by 2 doesn’t change the ratio.
Respuesta:
175 rad / s²
Explicación paso a paso:
Dado que :
Velocidad angular final = 350 rad / s
Tiempo empleado = 2 segundos
La aceleración angular, a =?
Recordar ; la aceleración angular es igual a la carga en velocidad angular con el tiempo
(velocidad final - Velocidad inicial) / tiempo empleado
Velocidad inicial = 0 rad / s
Aceleración angular = (350 - 0) / 2 = 350/2
= 175 rad / s²
