Remember these two combinations: logab=loga+logb, log(a/b)=loga-logb
3logx=logx^3
(1/2)log(x+2)=log(x+2)^(1/2)
2log(z-4)=log(z-4)^2
so the given expression can be combined into log{[(x^3)(z-4)^2]/(x+2)^(1/2)}
Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
Answer: hope this helps
Step-by-step explanation:
Simplifying
1.17 + -0.07a + (-3.92a) = 0
Combine like terms: -0.07a + (-3.92a) = -3.99a
1.17 + -3.99a = 0
Solving
1.17 + -3.99a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-1.17' to each side of the equation.
1.17 + -1.17 + -3.99a = 0 + -1.17
Combine like terms: 1.17 + -1.17 = 0.00
0.00 + -3.99a = 0 + -1.17
-3.99a = 0 + -1.17
Combine like terms: 0 + -1.17 = -1.17
-3.99a = -1.17
Divide each side by '-3.99'.
a = 0.2932330827
Simplifying
a = 0.2932330827
Answer:
343 can be written as
Step-by-step explanation:
since we know,
343 = 7 × 7 × 7
so, we can write 343 as cube of 7
hence,
Answer:
5 5/8
Step-by-step explanation:
i hope this helped have a good one
