The display after stacking of 6 layers of cube is 30 inches high.
Step-by-step explanation:
The volume of cubic box used by Abbey= 125 inch³
Total no of layer he has in display= 6
Height of the display-
We know that the volume of the cube is a³
Where a is the side of the cube
Hence to find the side of the cubic box we need to find the cube root of the volume i.e. ∛125
Hence the side of each cube is 5 inch. Since all the sides for cube are equal hence the height would also be 5 inch
The total height of the display would be 6*5= 30 inches
<span>x^2 +5x Should be your answer because:
</span><span>Rectangle area=width * length </span>
<span>Width= x </span>
<span>Length=x+5 </span>
<span>Rectangle area=x*(x+5)=x^2 + 5x,
I hope this helps!</span>
Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
Answer: $ 90305.56
Step-by-step explanation:
To find the future value of the amount, use the compound interest formula as follows:
A = P( 1 + i/m)^mn
Where; A = Future amount after n years;
P = Principal amount or amount deposited which is equal to $50, 000 in this question.
i = interest rate charge which is 6% in this case
m = number of times compounded per year, thus, m = 2 in this case since it is compounded semi-annually.
n = number of years which is 10 years in this case.
Substituting in the equation:
A = 50 000( 1 + 0.06/2) ^ 2(10)
= $ 90305.56
Answer:
9 : 24
Step-by-step explanation:
Sum the parts of the ratio, 3 + 8 = 11 parts
Divide 33 by 11 to find the value of one part of the ratio
33 ÷ 11 = 3 ← value of 1 part of the ratio, thus
3 parts = 3 × 3 = 9
8 parts = 8 × 3 = 24
