Answer:
31.4 in
Step-by-step explanation:
the formula for circumference is 2*
*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.
Answer:
<u><em>F(x)= 5*[
+ (a*b)*
+ a*b*x + C.</em></u>
Step-by-step explanation:
<u><em>First step we aplicate distributive property to the function.</em></u>
<u><em>5*(x+a)*(x+b)= 5*[
+x*b+a*x+a*b]</em></u>
<u><em>5*[+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>
<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>
<u><em>∫^5*[+x*(a+b)+a*b]*dx, apply integral´s property</em></u>
<u><em>5*[∫dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>
<u><em>5*[ + (a*b)* + a*b*x</em></u>
<u><em>Finally we can write the function F(x)</em></u>
<u><em>F(x)= 5*[ + (a*b)* + a*b*x ]+ C.</em></u>
Answer:
80x3 - 180x2 + 109x - 20
—————————————
4
Step-by-step explanation:
Answer:
3.75 cubic inches
Step-by-step explanation:
Volume = length x breadth x height
since the box holds 2 layers of 15 cubes
length contains 5 cubes= 5x1/2 inches=2.5 inches
breadth contains 3 cubes=3x1/2inches=1.5 inches
height contains 2 cubes=2x1/2inches=1.0 inches
Volume=2.5x1.5x1.0=3.75 cubic inches
