Paul wants to add new mulch to the top of all five garden beds. the new mulch will be 10 centimetres (cm) deep. about how much n

Answer with explanation:

Total number of children = x

Total chocolates shared = y

In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.

Chocolates received by adults equal 20.

Let the number of adults be z.

Expressing this situation as an equation:

y = 5 x + 20 z

⇒Number of adults = z

Answer:

Table B demonstrates a linear function.

Step-by-step explanation:

The reason Table B is classified as a linear function is that for each increment of one in x, y increases by a consistent rate of 4.

Answer:

We have defined functions:

f(x) = IxI + 1

g(x) = 1/x^3.

Currently, it is evident that the composite functions are not commutative.

How can we demonstrate this?

To determine if two composite functions are commutative, the following must hold true:

f(g(x)) = g(f(x))

One could apply brute force (simply substituting values to see if the composite functions commute),

but I will opt for a more sophisticated approach.

There are two notable observations:

g(x) has a point of discontinuity at x = 0.

Thus:

f(g(x)) = I 1/x^3 I + 1

remains discontinuous at x = 0, whereas:

g(f(x)) = 1/(IxI + 1)^3

shows that the denominator IxI + 1 can never reach zero.

At this point, there is no discontinuity.

Consequently, the composite functions cannot be commutative.

Given

The daily average balance is $15.

The daily periodic interest rate = 0.06%.

The cycle consists of 30 days.

Calculate the monthly finance charge.

To justify:

Let’s denote the monthly finance fee as x.

According to the details provided:

The average daily balance = $15.

The daily periodic rate = 0.06%,

First, we convert 0.06% to decimal:

= 0.0006.

Daily finance charge =  0.0006 multiplied by 15.

                                   =  0.009.

The number of days in the cycle totals 30.

Now, calculating the monthly finance charge:

The equation becomes:

x = 15 × 0.0006 × 30.

x = 0.009× 30.

x  = $0.27.

Thus, the monthly finance charge amounts to $0.27.

Thus proved.