All categories

3 years ago

Without computing, determine which number is greater, [(-4)^4]^5 or -[(4^12)^3 Explain your reasoning.

Mathematics

1 answer:

Strike441 [17]3 years ago

7 0

Answer:

I think [(-4)^4]^5, but I'm not completely sure

Step-by-step explanation:

1.0995116e+12 greater than -4.7223665e+21

[(-4)^4]^5=1.0995116e+12

-[(4^12)^3=-4.7223665e+21

You might be interested in

What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.

bearhunter [10]

Surface Area = 2πr² + 2πrh

Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²

Answer: 308π in²

3 0

3 years ago

How to write 12,375,003 in expanded form

icang [17]

Twelve million threehundred and seventy five thousand ans three

6 0

3 years ago

What is 125^2/3 in simplest form? and What is \sqrt[5]({-245} ) ^{5} in simplest form?

Natasha_Volkova [10]

${ 125 }^{ \frac { 2 }{ 3 } }\\ \\ ={ \left( { 125 }^{ \frac { 1 }{ 3 } } \right) }^{ 2 }\\ \\ ={ \left( \sqrt [ 3 ]{ 125 } \right) }^{ 2 }\\ \\ ={ 5 }^{ 2 }\\ \\ =25$

This is because:

${ a }^{ \frac { m }{ n } }\\ \\ =\sqrt [ n ]{ { a }^{ m } }$

Remember that:

5 x 5 x 5 = 125

5 0

3 years ago

Please. Answer Fast! Use composition to determine if G(x) or H(x) is the inverse of F(x) for the

s344n2d4d5 [400]

Answer:

A. H(x) is an inverse of F(x)

Step-by-step explanation:

The given functions are:

$F(x)=\sqrt{x-2}$

$G(x)=(x-2)^2$

$H(x)=x^2+2$

We compose F(x) and G(x) to get:

$(F\circ G)(x)=F(G(x))$

$(F\circ G)(x)=F((x-2)^2)$

$(F\circ G)(x)=\sqrt{(x-2)^2-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+4-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+2}$

$(F\circ G)(x)\ne x$

Hence G(x) is not an inverse of F(x).

We now compose H(x) and G(x).

$(F\circ H)(x)=F(H(x))$

$(F\circ H)(x)=F(x^2+2)$

$(F\circ H)(x)=\sqrt{x^2+2-2}$

We simplify to get:

$(F\circ H)(x)=\sqrt{x^2}$

$(F\circ H)(x)=x$

Since $(F\circ H)(x)=x$ , H(x) is an inverse of F(x)

3 0

3 years ago

Find out the cylinders volume whose height is 3 cm and radius 5cm

Studentka2010 [4]

Volume = πr²h

Volume = π(5)²(3)

Volume = 75π = 235.62 cm³ (nearest hundredth)

----------------------------------------------
Answer: Volume = 235.62 cm³.
----------------------------------------------<span />

8 0

3 years ago

Read 2 more answers