Answer:
The integer is 56.
Step-by-step explanation:
The consecutive even integer after 56 is 58. 56+58 = 114.
First simplify: 26 x 5/12 would equal to 13 x 5/6 because we divided it 2, then do the equation, which would now be 65/6, 13 x 5 and 1 x 6 so now we can make it into mixed numbers, so 10 5/6
ANSWER: 65/6 or 10 5/6
Answer is false. the slope is 1 because x equals one. the one is hidden but it is next to x
Answer:
Probability No. of pies Cost Revenue Profit
0.5 100 500 300 -200
0.25 150 500 450 -50
0.25 200 500 600 100
Step-by-step explanation:
We are given that The owner believes that on 50% of the days she sells 100 pies.
So, Probability of selling 100 pies = 0.5
On another 25% of the days she sells 150 pies
So, Probability of selling 150 pies = 0.25
She sells 200 pies on the remaining 25% of the days
So, Probability of selling 200 pies = 0.25
We are given that the owner bakes 200 pies each day at a cost of $2.50 each.
So, Cost per day =
Probability No. of pies Cost
0.5 100 500
0.25 150 500
0.25 200 500
Now we are given that she sells the pies for $3 each
So, SP of 100 pies =
SP of 150 pies = 
SP of 200 pies = 
Probability No. of pies Cost Revenue Profit
0.5 100 500 300 -200
0.25 150 500 450 -50
0.25 200 500 600 100
-1/4 cos 2x + C
<span>or </span>1/2 sin^2 x + C
or -1/2 cos^2 x + C
well, <span><span>sinx</span><span>cosx</span>=<span><span><span>sin2</span>x</span>2</span></span> so you are looking at<span><span>12</span>∫ <span>sin2</span>x <span>dx</span>=<span>(<span>12</span>)</span><span>[<span>(<span>12</span>)</span><span>(−<span>cos2</span>x)</span>+C]</span>=−<span>14</span><span>cos2</span>x+C'</span>
or maybe easier you can notice the pattern that <span><span>(<span><span>sinn</span>x</span>)</span>'=n<span><span>sin<span>n−1</span></span>x</span><span>cosx</span></span> and pattern match. here <span>n−1=1</span> so n = 2 so we trial <span><span>(<span><span>sin2</span>x</span>)</span>'</span> which gives us <span>2<span>sinx</span><span>cosx</span></span> so we now that the anti deriv is <span><span>12</span><span><span>sin2</span>x</span>+C</span>
the other pattern also works ie<span><span>(<span><span>cosn</span>x</span>)</span>'=n<span><span>cos<span>n−1</span></span>x</span><span>(−<span>sinx</span>)</span>=−n<span><span>cos<span>n−1</span></span>x</span><span>sinx</span></span>
so trial solution <span><span>(−<span><span>cos2</span>x</span>)</span>'=−2<span>cosx</span><span>(−<span>sinx</span>)</span>=2<span>cosx</span><span>sinx</span></span> so the anti deriv is <span>−<span>12</span><span><span>cos2</span>x</span>+<span>C</span></span>
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