Answer:
Assuming the function is f(x) = 5(2)^x, then the answer is the graph with the point (2,20) on the curve. Plugging in x = 2 leads to y = 20 y = 5(2)^x
Step-by-step explanation:
Answer:
x = 13/6
Step-by-step explanation:
We are the following expression;
x - 2(2 - (3/2)*x) = 2(4 - x) + 1
x - (4 - 3*x) = 8 - 2*x + 1
x - 4 + 3*x = 8 - 2*x + 1
4*x + 2*x = 9 + 4
6*x = 13
x = 13/6
Given:
2 rectangular prism.
same height
square bases
Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft
Solving for the space inside each rectangular prism, we need to find its volume.
Volume of a rectangular prism = length * width * height
Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet
Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet
Box A - Box B = difference in space
16 cubic feet - 2.25 cubic feet = 13.75 cubic feet
Box A contains 13.75 cubic feet more space than Box B.
Answer:
a) 0.6435 radians
b) 80.1 feet/sec
Step-by-step explanation:
a) 75 = (50²/16)sin(theta)cos(theta)
sin(theta)cos(theta) = 0.48
2sin(theta)cos(theta) = 0.96
sin(2theta) = 0.96
2theta = 1.287002218
Theta = 0.6435011088 radians
b) 200 = (v²/16)sin(0.75)cos(0.75)
6416.072347 = v²
v = 80.10038918 feet/sec