Answer:
C is the correct answer I might get this wrong and if so sorry.
Step-by-step explanation:
Answer:
cm per minute.
Step-by-step explanation:
We have been given that a box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant.
We know that volume of a cuboid is length times width times height.
Upon substituting our given width and length, we will get:
Now, we will find derivative of volume with respect to time as:
Since the volume of the box is decreasing at a rate of 527 cubic cm per minute, so we will substitute 
as:
Therefore, the rate of change in height is cm per minute.
Answer:
100 in square
Step-by-step explanation:
LSA of square based pyramid = 2×a×l
= 2×5×10
= 100 in square
To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.
If done correctly, your simplified equation should be
100,000 + 75,000x = 125,000
Next, we would subtract 100,000 from both sides, resulting in the equation
75,000x = 25,000
Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of
x= 25,000/75,000
However, many mathematics teachers ask for fractional answers to be simplified. To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.
The GCF of 25,000 and 75,000 is 25,000.
So, in simplest form, your final answer is
x=1/3
Answer:
In order to satisfy the inequality x has to be less than 7/12.
Step-by-step explanation:
The inequality is 1/4 + x < 5/6 in order to solve this inequality we need to isolate the value of x, that is our variable of interest. This is shown bellow:
1/4 + x < 5/6
x < 5/6 - 1/4
Applying LMC to subtract the fractions we have:
x < (2*5 - 3*1)/12
x < (10 - 3)/12
x< 7/12
In order to satisfy the inequality x has to be less than 7/12.
