Happy New Year from MrBillDoesMath!
Answer:
i ^ (2n) = (i^2)^n = (-1)^n = -1 if n is odd and = 1 if n is even
i ^ (2n+1) = i^(2n)* i = -1 * i = -i if n is odd and = 1*i = i if n is even
Not sure if this answers your question but hopefully pushes you n the right direction.
Thank you,
MrB
Answer:
y = (x-7)/9
Step-by-step explanation:
y = 9x + 7
x = 9y + 7
x - 7 = 9y
y = (x-7)/9
Answer:
6.320, 6.000, 6.215
Step-by-step explanation:
Three decimal points is the max number of decimal places between the three numbers (6.215). So, we need to convert the other numbers to have three decimal points as well.
Answer:
Step-by-step explanation:
1 Us pint = 16 Us fluid ounces
It means that 8 pints of water would be
8 × 16 = 128 fluid ounces
Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is
128 + 24 = 152 fluid ounces
Also,
1 fluid ounce = 0.125 Us cups
Therefore, the number of cups made is
152 × 0.125 = 19 cups
If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19
servings. The number of batches made is 6. Therefore, the number of servings made altogether is
6 × 19 = 114
If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is
114/2 = 57 servings
<em>Hey</em><em>!</em><em>!</em><em>!</em>
<em><</em><em>a</em><em> </em><em>and</em><em> </em><em><</em><em>b</em><em> </em><em> </em><em>are</em><em> </em><em><u> </u></em><em><u>co</u></em><em><u>mpl</u></em><em><u>e</u></em><em><u>m</u></em><em><u>e</u></em><em><u>n</u></em><em><u>t</u></em><em><u>a</u></em><em><u>r</u></em><em><u>y</u></em><em><u> </u></em><em><u>angles</u></em><em><u>.</u></em>
<em><u>Those</u></em><em><u> </u></em><em><u>angles</u></em><em><u> </u></em><em><u>which</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>exactly</u></em><em><u> </u></em><em><u>9</u></em><em><u>0</u></em><em><u> </u></em><em><u>degree</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>called</u></em><em><u> </u></em><em><u>complementary</u></em><em><u> </u></em><em><u>angles</u></em><em><u>.</u></em>
<em><u>hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em>