Answer:
670.21 inches^3
Step-by-step explanation:
To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:
V = 33.51032
Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.
V = 20 * 33.51032
V = 670.2064
If you round to 2 decimal places, this becomes 670.21.
Answer:
B.
Step-by-step explanation:
im not sure to my answer(●'◡'●)
Answer:
<h3>B. (1,3)</h3>
Step-by-step explanation:
<h3>What is a midpoint?</h3>
Midpoint a point equidistant from the ends of a line or the extremities of a figure.
To find the midpoint of the line segment with endpoint, use the midpoint formula.
<u>Midpoint formula:</u>
y2=(-10)
y1=16
x2=6
x1=(-4)
<u>Rewrite the problem down.</u>
<u>Solve.</u>
6-4=2
2/2=1
-10+16=6
6/2=3
<u>= (1,3)</u>
Therefore, the correct answer is B (1,3).
I hope this helps, let me know if you have any questions.
To learn more about midpoint:
brainly.com/question/5127660
#SPJ1
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
#SPJ1