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AveGali [126]
3 years ago
5

Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4

Mathematics
2 answers:
Verdich [7]3 years ago
7 0

Answer: 243

Step-by-step explanation:

We have the expression

3(a + b + c)^2

Note that the expression depends on 3 variables

a, b and c

in this case we want to evaluate the expression for

a = 2\\b = 3\\c = 4

Then change the variable a by the number 2, the variable b by the number 3 and the variable c by the number 4

So we have

3(2 + 3 + 4)^2

Now simplify the expression

3(9)^2

3*81=243

The answer is 243

My name is Ann [436]3 years ago
3 0

ANSWER

243

EXPLANATION

The given expression is

3 {(a + b + c)}^{2}

We want to evaluate this expression for:

a = 2, b = 3, and c = 4.

We substitute the given values into the expression to get:

3(2 + 3 + 4)^{2}

Let us perform the addition inside the parenthesis to get:

3(9)^{2}

3(81) =24 3

Therefore the given expression evaluates to:

243

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5. Simplify:<br> a) ((-11) + (-5)] + [3+ (-1)
REY [17]

Answer:

-14

Step-by-step explanation:

[(-11) + (-5)] + [3 + (-1)]

= (-11 - 5) + (3 - 1)

= (-16) + 2

=<u> -14 </u>

7 0
3 years ago
A survey conducted by a leading HMO found that of 2000 women, 340 were heavy smokers and 25 had emphysema. Of those who had emph
belka [17]

Answer:

The events being a heavy smoker and having emphysema are not independent.

Step-by-step explanation:

We are given the following in the question:

Number of women = 2000

Number of heavy smoker = 340

Number of women who has emphysema = 25

Number of women who has emphysema and are heavy smoker = 21

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(Smoker) =

P(S) = \dfrac{340}{2000}=0.17

P(emphysema) =

P(E) = \dfrac{25}{2000}= 0.0125

P(Smoker and emphysema) =

P(S\cap E) = \dfrac{21}{2000} = 0.0105

Two events A and B are said to be independent if

P(A\cap B)=P(A)\times P(B)

Checking conditions for independence:

P(S)\times P(E) = 0.17\times 0.0125=0.002125\\P(S)\times P(E) \neq 0.0105\\P(S)\times P(E)\neq P(S\cap E)

Thus, the events being a heavy smoker and having emphysema are not independent.

3 0
3 years ago
What is the square root of 23
Lilit [14]
4.80 is the square root of 23
7 0
3 years ago
Read 2 more answers
X = 30 means that the equation has<br> infintely many solutions<br> no solution<br> one solution
mrs_skeptik [129]

Answer:

One solution

Step-by-step explanation:

7 0
3 years ago
If triangle CBA = triangle CDE, what is the distance between E and C?
omeli [17]

Answer:

c) 10 cm

Step-by-step explanation:

EC = AC

AC = 10 then so does EC

7 0
3 years ago
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