Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
Answer:
To break-even, Zorah needs to play for 8 hours.
Step-by-step explanation:
<u>To calculate the break-even point in hours, we need to use the following formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / (25 - 10)
Break-even point in units= 8 hours
To break-even, Zorah needs to play for 8 hours.
Answer: 0.6 meters cubed.
Step-by-step explanation:
To find the answer to this, first find the volume of the cube.
Volume is equal to the side cubed. In this case, 1 cubed is 1, so the area of the cube is 1 meter cubed.
The depth of the water is 0.4 meters, so the water makes a shape of a rectangular prism, where the length and width are 1 meter, and the height is 0.4 meters.
The volume of a rectangular prism is l*w*h, so the volume of this rectangular prism is 0.4 * 1 * 1, or 0.4 meters cubed.
As such, the volume of the air in the tank is 1 - 0.4, or 0.6 meters cubed.
It increases linearly, since it increases by about the same amount every month.
