Answer:
36.66 ft
Step-by-step explanation: You have to use the pythagorean theorem. a^2 + b^2 = c^2 (if you lean a ladder against a wall, it will make the shape of a triangle) The hypoteneuse would be 40 feet as it is the height of the ladder (the longest side). The one of the legs would be 15 ft (how far it is from the base of the house). You would then just plug the numbers in : a^2 + 15^2 = 40^2
a^2 + 256 = 1600
a^2 = 1344
a = 36.66
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.
Multiply the given numbers by the number given in the head column, for example 0.0943 x 10 would be 0.943. a trick is to move the decimal to the right the same number of zeros present in the factor. comment if you need further explanation :)
Answer:
4 goals per hour.
Step-by-step explanation:
12 goals divided by 3 goals. Is 4 goals per hour.
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Answer:
D. i^39
Step-by-step explanation:
If you simplify i^39, you get i^35, i^31, i^27, i^23, i^19, i^15, i^11, i^7, to i^3, which is equal to -i.
