What is the remainder when a^3-4 is divided by a+2?

-12

Step-by-step explanation:

Use synthetic division to find the remainder:

a + 2 yields the synthetic division divisor -2.  The four coefficients of a^3 - 4 are {1, 0, 0, -4}.  Setting up synthetic division results in:

-2   /   1    0    0    -4

              -2    4     -8

         1     -2    4    -12

The remainder is -12.  This is also the value of a^3 - 4 when a = -2.

the probability that a bird is green (.30) is true

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places