What is the value of the expression 3\cdot2+2^33⋅2+2 3

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the expression 3.2 + 2^3, we are to simplify and find the value of the expression.

Note that the dot means multiplication. The equation then becomes;

$= 3*2 + 2^3\\\\= (3*2) + (2*2*2)\\\\= 6 + (4*2)\\\\= 6 + 8\\\\= 14$

Hence the value of the expression is 14

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What is the f(n) runtime of the following pseudocode: sum = 0 for A = N/2 downto 1 for B = 1 to 4N increment sum by B

nikitadnepr [17]

Answer:

f(N) = 2+ N/2 + 6N² units of time.

Step-by-step explanation:

Assigning 0 to the variable sum takes one unit of time.

Each time you increment sum by B, you need to call the value of sum, sum it to B and assign it to sum, which takes three units of time in total. You are repeating this process for each value of B which ranges from 1 to 4n and for each value of A which ranges from 1 to n/2. Opening the FOR takes also another unit of time, so, as a result, we have

f(N) 1 + 1 (open the FOR in A)+ N/2*(1 (open the FOR in B) + 4N*3) = 2+ N/2 + 6N² units of time. It has order complexity O(N²).

5 0

4 years ago

Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)

Anastasy [175]

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}$

Solution:

Given expression is:

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

We have to combine the like terms

From given expression,

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

$\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}$

Add 1/7 and 6/7

$\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}$