Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
So, we have the following system
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
I am going to write y as a function of x in 1), and replace in 2). So:
means that 
Now, going back to 1:
He should plant 100 acres of corn and 400 acres of wheat.
I believe it would be 4 lil man
If the ratio is 4:3 divide the larger can by 4 which in a) is 25 then multiply by 3 to get surface area of smaller can which would be 75 square inches.
In part b) do the same so 150 divided by 4 is 37.5 multiplied by 3 is 112.5 cubic inches.
It doesn't matter if it is surface area or volume you still use the same ratio of 4:3
Answer:
The total mechanical energy is 0.712 J.
Step-by-step explanation:
A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.
The total mechanical energy is given by the sum of the kinetic energy and the potential energy.
Kinetic energy = 0.47 J
Potential energy = 0.242 J
The total mechanical energy is
T = 0.47 + 0.242 = 0.712 J
Answer:
Range is between -7 and 8
-7<y<8
Step-by-step explanation:
Range means series of number between lowest and highest output(y-axis) of a function.
Notice on the graph, the lowest y you can get is -7 and highest is 8. Other numbers are in between.
Thus, the range is in between of -7 and 8.
