Let w be the additional watts you can add on the circuit.
1100 + w < 1800 (write the inequality)
-1100 -1100 ( - 1100 from each side)
w < 700 (simplify)
ANSWER:
You can add up to 700 watts to the circuit, which means that you can also plug in the clock radio and the blender.
LOOK BACK:
You can check that your answer is correct by adding the numbers of watts used by the microwave oven, clock radio and blender.
1100 + 50 + 300 = 1450
The circuit will not overload because the total wattage is less than 1800 watts.
Answer:
16
Step-by-step explanation:
parentheses first: 10-6 which is 4^2 or 16.
Hope this helps :D
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer:
64
Step-by-step explanation:
SInce the students at the door had to pay twice as much as the students who payed in advance, you would do 32*2=64
