Answer:
about 15 hours
Step-by-step explanation:
You want to find t such that N(t)=200. Fill in the equation with that information and solve for t.
200 = 400/(1 +399e^(-0.4t))
1 +399e^(-0.4t) = 400/200 = 2 . . . . . multiply by (1+399e^(-0.4t))/200
399e^(-0.4t) = 1 . . . . . . . . . . . . . . . . . . subtract 1
e^(-0.4t) = 1/399 . . . . . . . . . . . . . . . . . .divide by 399
-0.4t = ln(1/399) . . . . . . . take the natural log
t = ln(399)/0.4 ≈ 14.972 . . . . . . . divide by -0.4, simplify
Rounded to tenths, it will take 15.0 hours for half the people to have heard the rumor.
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
Answer:
2.66666666667 Rounded it would be 2.7
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
6 • (x - 2) - (8x + 8) = 0
Pulling out like terms :
3.1 Pull out like factors :
-2x - 20 = -2 • (x + 10)
Equation at the end of step 3 :
-2 • (x + 10) = 0
Equations which are never true :
4.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x+10 = 0
Subtract 10 from both sides of the equation :
x = -10
One solution was found :
x = -10
Processing ends successfully
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Answer:
83
Step-by-step explanation:
17 correctly answered questions x 5 points = 85 points
3 blank questions x 0 points = 0 points
5 wrong questions x -2 = -10 points
85 - 10 = 75 points
75 + 8 = 83
