25d - 250 | - 575d^2 + 2277d + 34362
Answer:
An important use of the dot product is to test whether or not two vectors are orthogonal. Two vectors are orthogonal if the angle between them is 90 degrees. ... Thus, two non-zero vectors have dot product zero if and only if they are orthogonal.
Step-by-step explanation:
Answer:
<u>b(n) = -11 + (n-1)*8</u>
<u></u>
Step-by-step explanation:
Let n be the sequence number, with n=1 the first number b(1) -11
The sequence changes by +8 each step.
<u><em>b(1)</em></u><em> -11</em> + 8 = -3
<u><em>b(2)</em></u><em> -3</em> + 8 = 5
<u><em>b(3)</em></u> <em> 5 </em> + 8 = 13
<u><em>b(4)</em></u><em> </em> <em>13</em>
b(1) = -11
b(2) = -3. or b(1) + 1*8
b(3) = 5, or b(1) + 2*8
b(4) = 13, or b(1) + 3*8
We note that each step adds a multiple of 8 to the initial value of -11. This can be stated as (n-1)*8
The formula for this sequence would be b(n) = b(1) + (n-1)*8
<u>b(n) = -11 + (n-1)*8</u>
Check: Does n=3 return the value of 5?
b(n) = -11 + (n-1)*8
b(3) = -11 + ((3)-1)*8
b(3) = -11 + (2)*8
b(3) = -11 + 16
b(3) = 5 <u><em>YES</em></u>
Since 1 kilogram equals 1,000 grams 5 potatoes equals 1,000 grams. 1,000 divided by 5 is 200. This means 1 potato has a mass of 200 grams 1,200 divided by 8 is 150. that means a pear has a mass of 150 grams. Since 200 grams is bigger then 150 grams, that means the potato has greater mass>
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