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vfiekz [6]
3 years ago
12

Evaluate a2b2c2 for a = 2, b = 3, and c = 4.

Mathematics
2 answers:
olchik [2.2K]3 years ago
6 0
2(2)2(3)2(4)=192 because you're multiplying everything together in order to find your answer and also because the variables which are the letters represent the numbers that need to be multiplied idk if that made sense but that's the answer lol
Leviafan [203]3 years ago
5 0

Answer:  The required value is 576.

Step-by-step explanation:  We are given to evaluate the following expression for a = 2, b = 3 and c = 4 :

E=a^2b^2c^2.

To do the evaluation, we need to substitute the values of a, b and c in the given expression.

Therefore, the value of the given expression can be calculated as follows :

E\\\\=a^2b^2c^2\\\\=2^2\times 3^2\times4^2\\\\=4\times9\times16\\\\=576.

Thus, the required value is 576.

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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
2 years ago
HELP!!! TIMED ASSIGNMENT!!!!! PLEASE HELP
eduard

Answer:

see below

Step-by-step explanation:

The first part of the function, f(x) = -2x (for x < -1), is only graphed correctly in the first and third graphs.

The second part of the function, f(x) = -1 (for -1 ≤ x < 2) is only graphed correctly in the first graph, which also correctly graphs the third part of the function,

The appropriate choice is the first graph.

5 0
3 years ago
Increase £80 by 15%<br>​
Juliette [100K]
The answer to your question is 92
3 0
1 year ago
A rectangular prism has a length of 5 cm, a width of 2 1/2 cm, and a expressions height of 1 1/2 cm. Which can be used to find t
Assoli18 [71]

To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]

V = 5 * 2 1/2 * 1 1/2

V = 12 1/2 * 1 1/2

V = 18 3/4cm³

Now that we know the volume, we can check each answer choice.

Option A:

5 ∙ 2 1/2 ∙ 1 1/2

12 1/2 * 1 1/2

18 3/4cm³

Option B:

12 1/2 ∙ 1 1/2

18 3/4cm³

Option C:

1 1/2(5 + 2 1/2)

1 1/2(7 1/2)

11 1/4cm³

Option D:

1/2(12 1/2 ∙ 1 1/2)

1/2(18 3/4)

9 3/8cm³

Therefore, the only correct options are A and B.

Best of Luck!

5 0
3 years ago
Read 2 more answers
3r2 + 11r + 8<br> Factor completely
crimeas [40]

Answer:

(3r+8)(4+1)

Step-by-step explanation:

5 0
3 years ago
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