Given m with arrow = 3 î + 2 ĵ − 5 k and n with arrow = 6 î − 2 ĵ − 4 k, calculate the vector product m with arrow ✕ n with arro

Answer:

B. $0.30

Detailed explanation:

1 candy bar equals $0.20

3 candy bars equal $0.50

To find the solution, let's calculate for both options:

If you buy each candy bar separately, the cost is $0.20 each. For 9, it would be:

9 x 0.20 = $1.80

If you purchase 3 at a time, they are $0.50 each set. Dividing 9 by 3, then multiplying by 0.50 gives:

9/3 = 3

3 x 0.50 = $1.50

Now calculate the difference between the individual total and the pack total:

$1.80 - $1.50 = $0.30

B. $0.30 is your final answer.

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Answer:

Step-by-step explanation:

a) According to the included image, the smaller section measures 16ft², and the larger section is 50 ft². The formula for the area of a square is side × side = side².

For the smaller section: Area = side²

16 = side²

side = √16 = 4 ft

For the larger section: Area = side²

50 = side²

side = √50

The overall length of the shed is the small area plus the large area = 4 + √50

The total length of the shed equates to 4 + √50

b) All square roots of integers unless they are perfect squares are irrational numbers, thus 4 + √50 is irrational. All such values fall within the set of real numbers, categorizing  4 + √50 as an irrational and real number.

Answer:

The accurate representations are:

- 6x + 15 < 10 - 5x ⇒ 3rd option

A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)

Step-by-step explanation:

Given the inequality is -3(2x - 5) < 5(2 - x)

First, simplify both sides:

∵ -3(2x - 5) = -3(2x) + -3(-5)

Remember that (-)(-) results in (+)

Thus, -3(2x - 5) = - 6x + 15

∵ 5(2 - x) = 5(2) + 5(-x)

Remember that (+)(-) results in (-)

Then, 5(2 - x) = 10 - 5x

Now we have: - 6x + 15 < 10 - 5x

Subtract 15 from both sides

So: - 6x < -5 - 5x

Add 5x to both sides

Thus, - x < - 5

Note that since the coefficient of x is negative, we reverse the inequality sign when dividing both sides by it

∵ The coefficient of x is -1

Therefore, dividing both sides by -1 gives us x > 5

The accurate representations are:

- 6x + 15 < 10 - 5x ⇒ 3rd option

A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)