Implicit differentiation:
differentiate both sides,
8e^(8x)=cos(x+4y)(1+4y')
Solve for y' to get
y'=[cos(x+4y)-8e^(8x)]/[4cos(x+4y)]
Translation is the sliding of one triangle over another
The estimated product of 65.3 and 44.8 is 2,800.
Answer: he earned $344 in all.
Step-by-step explanation:
When he does work outdoors he earns $12 an hour. This means that if he works outdoors for x hours, he would earn $12x
When he works indoors he earns $8 an hour. This means that if he works indoors for y hours, he would earn $8y.
Last month he worked 18 hours outdoors. This means that the total amount that he earned working outdoors is
12 × 18 = $216
He worked 16 hours indoors. This means that the total amount that he earned working indoors is
8 × 16 = $128
Total amount that he earned is
216 + 128 = $344
Answer: The number of points added for r right answers is 12r. The number of points taken away for w wrong answers is 4w, so Olga's total points will be
... 12r -4w
To win, she needs this number to be more than 400. Your inequality is ...
... 12r -4w > 400
