Answer:
60 inches = 5 feet.
Step-by-step explanation:
12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high
Answer:
x = 2.5
Step-by-step explanation:
Two vertical angles are congruent, so ...
m∠JOY = m∠LOV
8x +15 = 4x +25
4x = 10 . . . . . . . . . . subtract 4x+15
x = 10/4 = 2.5 . . . . .divide by the coefficient of x
The value of x is 2.5.
Answer:
$3
Step-by-step explanation:
Given that:
p = 8 - ln(x) when 5 < x < 500
where;
x = The total number of dogs sold
Then;
The total revenue = x * p
R = x(8 - ln(x))
R = 8x - xln(x)
The Company thus pays 1 dollar per dog
i.e.
The total cost C = 1 * x = x
Then: Profit = R - C
P = 8x - xln(x) - x
P = 7x - xln(x)
Differentiating P in respect to x
dP/dx = 7 - d/dx(xln(x))
dP/dx = 7 - x*d/dx(ln(x)) - ln(x)*d/dx(x)
dP/dx = 7 - x(1/x) - ln(x)
dP/dx = 6 - ln(x)
Since this must be maximized, dP/dx is set to be equal to 0
6 - ln(x) = 0
ln(x) = 6
x = e^6
Now, p = 8 - ln(x)
Plug in the value of x :
p = 8 - ln(e^5)
p = 8 - 5
p = 3
Therefore, each dog must be priced at $3 to maximize the profit.
Answer: The width is 5
Step-by-step explanation:
The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5
Complement angles are angles which when added, the sum is equal to 90 degrees. In this case, we let angle one as x while angle 2 is represented by 17x. The equation then is equal to x + 17x = 90 ; 18x = 90. x from the equation is equal to 5. Hence teh angles are 5 degrees and 85 degrees