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ch4aika [34]
4 years ago
9

3. Tell which number is prime: 18, 42, 68, 79.

Mathematics
2 answers:
Irina18 [472]4 years ago
7 0

Answer:

1) 79

2) 400

3) 29

Step-by-step explanation:

1) To find : Tell which number is prime: 18, 42, 68, 79.

Solution :

A prime number is defined as number which is only divisible by 1 and itself.

As 18,42 and 68 were divisible by 2.

But 79 is not divisible by any number.

Which means 79 is the only prime number which is divisible by 1 and itself.

2) To find : The value of the expression 48\times 8+4\times 4

Solution :

The expression,

48\times 8+4\times 4

=384+16

=400

Therefore, 48\times 8+4\times 4=400

3) Evaluate : (c- b)^2 + a^2 for a=-5, b=-2 and c=-4

Solution :

The expression is (c- b)^2 + a^2

Substitute the values, a=-5, b=-2 and c=-4

(c- b)^2 + a^2=(-4-(-2))^2+(-5)^2

(c- b)^2 + a^2=(-4+2)^2+25

(c- b)^2 + a^2=(-2)^2+25

(c- b)^2 + a^2=4+25

(c- b)^2 + a^2=29

Novosadov [1.4K]4 years ago
6 0

3. All of those numbers are prime. A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole numbers that can be divided evenly into another number.

4. 97

4. 14

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Step-by-step explanation:

For this case we have the following function

T(w)= 0.1 w^2 +2.156 w +20

Where T represent the temperature in Celsius and w the power input in watts.

Part a

For this case we need to find the value of w that makes the temperature 203C, so we can set the following equation:

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0.1w^2 +2.156 w-183=

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For this case we can find the values of w for the temperatures 203-1= 202C and 203+1 = 204 C. And we got this:

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Part d

For this case we can do this:

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