The answer is 3 because 4x6=24 and add 3 is 27 so she will need 3 dollars.
Some number y has 7 subtracted off to get 15. We have y-7 = 15. To isolate y, we have to undo the "subtract 7" operation that happens to y. We have to add 7 to both sides.
y-7 = 15
y-7+7 = 15+7
y = 22 is the answer
Answer: Squares have all 4 sides equal. Just square root 180 in a calculator and you'll get √(180)= approximately 13.4.
A = L * W
A = 75
L = W + 10
75 = W(W + 10)
75 = W^2 + 10W
W^2 + 10W - 75 = 0
(W + 15)(W - 5) = 0
W + 15 = 0
W = -15...not this one because it is negative
W - 5 = 0
W = 5 <=== width is 5 ft
L = W + 10
L = 5 + 10
L = 15 <=== length is 15 ft
Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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