Answer:
$160
Step-by-step explanation:
Part A-
Step 1: 6(2k+5) - 20
Step 2: 6(2k) + 6(5) - 20
Step 3: 12k + 30 - 20
<h2><u>
12k + 10</u></h2><h2><u>
</u></h2><h3>Part B-</h3><h3>12(12.50) + 10</h3><h3>150 + 10</h3><h2><u>$160</u></h2>
Answer:
24
Step-by-step explanation:
Answer:
715 minutes
Step-by-step explanation:
we know that
To find out how many more minutes he can use, subtract the number of minutes he has already talked from the number of minutes of his plan
Let
x -----> the number of minutes of his plan
y -----> he number of minutes he has already talked
so
we have
substitute
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
Answer:
6
Step-by-step explanation:
The orange line doesn't pass 6, it stays at 6.
