Answer:
;
,
.
Step-by-step explanation:
The resultant function is obtained by multiplying
by a real number
. That is:

If
and
, then
is:


Given that presence of the expression
, then:
and 
The value of a is obtained by applying the definition of logarithms:


Finally, the value of k is found by direct comparison:

Answer:
C=0,10E+5
Step-by-step explanation:
La respuesta es que la expresión que indica el costo mensual "C" en función de la energía "E" consumida es:
C=0,10E+5
Esto teniendo en cuenta que se indica que hay una tarifa fija de $5 por mes y que a esto se debe sumar el resultado de multiplicar la energía consumida por el valor del kilowatt-hora.
Answer:
108 pizzas
Step-by-step explanation:
300/25 = 12 groups of 25 students
9 pizzas per group
9(12) = 108 pizzas
hope this helps
The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in