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zysi [14]
3 years ago
12

Calculate the average rate of change of the function f(x) = mx + b over the interval 2 < or = x< 13.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer: it equals m

C). m

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New worth 928,181 that’s the answer
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Write the fractions in order from least to greatest 1/5, 2/3, 5/8
BaLLatris [955]
The order would be 1/5,5/8,2/3.
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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence
belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

\mathbf{n = 5} --- the number of digits

\mathbf{r = 3} ---- the number of actions

Each of the three actions can either be:

  • <em>Pressing one button</em>
  • <em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

\mathbf{n_1 = ^5C_1}

Apply combination formula

\mathbf{n_1 = \frac{5!}{(5-1)!1!}}

\mathbf{n_1 = \frac{5!}{4!1!}}

\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}

\mathbf{n_1 = 5}

The number of ways of pressing a pair is:

\mathbf{n_2 = ^5C_2}

Apply combination formula

\mathbf{n_2 = \frac{5!}{(5-2)!2!}}

\mathbf{n_2 = \frac{5!}{3!2!}}

\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}

\mathbf{n_2 = 10}

So, the number of ways of performing one action is:

\mathbf{n =n_1 + n_2}

\mathbf{n =5 + 10}

\mathbf{n =15}

For the three actions, the number of ways is:

\mathbf{Action = n^3}

\mathbf{Action = 15^3}

\mathbf{Action = 3375}

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0
2 years ago
Evaluate: 6.7 × $99.99 =<br> O $692.43<br> O $106.69<br> O $669.93<br> O $14.92
Lilit [14]
The answer is $669.93
7 0
2 years ago
Math To Do in Ready
Svetllana [295]

Answer:

C=100.5 inches

Step-by-step explanation:

Circumference=2πr where r=16 inches

C=2(3.14)(16)

C=100.5 inches

3 0
3 years ago
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