For this case we have by definition, that the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
If the radius is divided by 3 we have:
ANswer:
the volume decreases considerably because the denominator increases
Answer:
-11
8 = 2x + 30
8 - 30 = -22
-22 ÷ 2 = -11
x = -11
Also if you place 2×(-11) + 30 you get 8
Yes that’s your answer!! Good job!!
Answer:
x=2 and y=0
Step-by-step explanation:
Rewrite equations:
y=−4x+8;y=
3
5
x+
−6
5
Step: Solvey=−4x+8for y:
y=−4x+8
Step: Substitute−4x+8foryiny=
3
5
x+
−6
5
:
y=
3
5
x+
−6
5
−4x+8=
3
5
x+
−6
5
−4x+8+
−3
5
x=
3
5
x+
−6
5
+
−3
5
x(Add (-3)/5x to both sides)
−23
5
x+8=
−6
5
−23
5
x+8+−8=
−6
5
+−8(Add -8 to both sides)
−23
5
x=
−46
5
−23
5
x
−23
5
=
−46
5
−23
5
(Divide both sides by (-23)/5)
x=2
Step: Substitute2forxiny=−4x+8:
y=−4x+8
y=(−4)(2)+8
y=0(Simplify both sides of the equation)
Answer:
You invested $5000 between two accounts paying 2% and 4% annual interest, respectively. If the total interest earned for the year was $160, how much was invested at each rate? $ was invested at 2% and was invested at 4%.