The picture in the attached figure
we know that
volume of the box=15*15*5-----> 1125 in³
the volume of one sphere=(4/3)*pi*r³
r=5/2----> 2.5 in
the volume of one sphere=(4/3)*pi*2.5³----> 65.45 in³
volume of 9 spheres=9*65.45 ----> 589.05 in³
<span>the volume of the empty space left in the box=1125-589.05--> 535.95 in</span>³
the answer is536 in³
Answer:
y = 3(x -2)² -5
Step-by-step explanation:
It looks like you want to write the standard-form quadratic ...
y = 3x² -12x +7
in vertex form.
The process is similar to that of "completing the square."
<h3>Steps</h3>
<u>Factor out the leading coefficient</u>
Do this for the variable terms only.
y = 3(x² -4x) +7
<u>Identify the x-term coefficient</u>
The x-term coefficient (inside parentheses) divided by 2 is the opposite of the x-coordinate of the vertex. It is the constant term in the squared binomial of the vertex form. Square this value.
x coefficient: -4
binomial constant: -4/2 = -2
square of this: (-2)² = 4
<u>Add this inside parentheses</u>
To keep the overall equation unchanged, you must also subtract an equal amount outside parentheses.
y = 3(x² -4x +4) +7 -3(4)
<u>Simplify to vertex form</u>
Write the trinomial in parentheses as a square, and simplify the y-coordinate of the vertex.
y = 3(x -2)² -5
It is 1.3 because there is a remainder
Answer:
Step-by-step explanation:
PEMDAS is a set of rules which are followed while solving mathematical expressions. These rules start with Parentheses, and then operations are performed on the exponents or powers. Next, we perform operations on multiplication or division from left to right. Finally, operations on addition or subtraction are performed from left to right.
It is c becase x<8 translates to x is less than 8
