The formula for the volume of a sphere is V=(4/3) (pi) r^3. if r is doubled then you get 2r as the radius and V=(4/3) (pi) * 8r^3 so the volume is eight times bigger than the original r value. if r is tripled the r =3r and (3r)^3 so the volume is 27 times bigger. If r is multiplied by n the radius is nr and (nr)^3 =n^3 r^3, Therefore, the volume is n^3 times bigger than the original.

7 0

3 years ago

Can someone help me on this ? its Algebra 1 on exponents

Svetradugi [14.3K]

The volume of a rectangular prism is its length times width times height, or algebraically, $V=lwh$ . You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute $l=x, w= \frac{x}{2},h= \frac{x}{3}$ into the formula for volume. You get $(x)( \frac{x}{2})( \frac{x}{3} )$ , and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get $\frac{(x)(x)(x)}{(1)(2)(3)} = \frac{x^3}{6}$ . It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule $x^{-n}= \frac{1}{x^n}$ , if n is non-negative. The opposite applies so that $\frac{1}{6} = 6^{-1}$ . For your final answer, you write $6^{-1}x^3$ . This corresponds to answer choice B.

3 0

4 years ago

In Maritza's family everyone s height is greater that 60 inches.Which inequality represents the height h,in inches ,of any membe

Lera25 [3.4K]

Answer:

h> 60

Step-by-step explanation:

Let h represent for the hight of any member of Maritza's family.

From the question we know that: everyone s height is greater that 60 inches

It means: h>60 inches

8 0

3 years ago