Answer:
x >12
Step-by-step explanation:
2 + 5(x-3) > 3x + 11
Distribute
2 + 5x - 15 > 3x+11
Combine like terms
5x -13 > 3x+11
Subtract 3x from each side
5x-13-3x> 3x+11-3x
2x-13 > 11
Add 13 to each side
3x-13+13> 11+13
2x> 24
Divide by 2
2x/2 > 24/2
x >12
Answer:
99/130 is an answer for this
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Answer: 1/2 a pound is more, because 1/2 a pound is 8 ounces
I hope this helped!
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- Zack Slocum
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Answer:
$94.38
Step-by-step explanation:
find 20 percent of 78.65
78.65 * .2 = 15.73
(20% as a decimal is .20, or .2)
add the tip to the cost of the meal
78.65 + 15.73 = 94.38
total cost is $94.38
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C