<span>For two vectors u and v, the cross product can be expressed as follows:
(u2v3 - u3v2) i + (u3v1 - u1v3) j + (u1v2 - u2v1) k.
Consequently, we have m x n: ( (2 *-4) - (-5 * -2) ) i + ( (-5*6) - (3 *-4) )j + ( ( 3*-2) - (2*6))k,
which simplifies to ( -8 - 10) i + ( -30 + 12) j + ( -6 - 12) k.
Thus, the product of vectors m and n yields -18 i - 18j -18k</span>.
To solve this problem, you'll want to substitute the first equation into the second or the other way around. The equations given are: 1. 3 paperback books + 5 hardcover books = $80.10; 2. 7 paperback books + 4 hardcover books = $100.65. It is helpful to rearrange the first equation to find 5 hardcover books = $80.10 - 3 paperback books, leading to hardcover book = $16.02 - 0.6 paperback books. Now, substitute this into the second equation: 7 paperback books + 4 ($16.02 - 0.6 paperback books) = $100.65, which simplifies to 7 paperback books + $64.08 - 2.4 paperback books = $100.65. This results in 4.6 paperback books = $100.65 - $64.08 = $36.57, thus paperback book = $7.95. You can then use this price in the first equation to determine the hardcover book price: 3 paperback books + 5 hardcover books = $80.10, substituting gives 3($7.95) + 5 hardcover books = $80.10, which leads to 5 hardcover books = $80.10 - $23.85 = $56.25, therefore hardcover book = $11.25. Hence, the total cost for one paperback and one hardcover book is $7.95 + $11.25 = $19.20.
Answer:
The illustration provided shows the graph
Step-by-step explanation:
Let
x ------> number of times Emma cuts the grass
y ------> hours Emma spends babysitting
it is known that
------> represents the inequality of the scenario
The solution is the shaded region above the solid line where both x and y are positive
The equation for the solid line is represented as 
The slope of the line is negative 
The y-intercept is at the point
(the y-value when x is zero)
The x-intercept is at
(the x-value when y equals zero)
therefore
The illustration provided shows the graph
Answer: (3y - 5) • (2y - 3)
Step-by-step explanation: 6y2 - 10y - 9y - 15
2.1 Factoring 6y2-19y+15
The leading term is 6y2, with a coefficient of 6.
The middle term is -19y, having a coefficient of -19.
The last term is the constant, which is +15.
How often does 245 fit into 8? none.
into 84? none.
into 843? 3
Thus, the initial digit of the quotient is 3. Multiply 245 by 3 to obtain 735. Subtract this number from 843, resulting in 108. How many times does 245 go into 108?
none. Bring down a zero, creating 1080. How many times does 245 fit into 1080? 4, leaving a remainder of 100. And so forth.
Please attempt to work through this problem independently, manually.
________________
245 / 8439.00
-735
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Can you complete this? Keep in mind that 843-735 equals 108. Now drop down a zero to make 1080. show your work.