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2 years ago

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64

Mathematics

1 answer:

Goryan [66]2 years ago

7 0

Question:

Simplify the following expression:

$4^{-\frac{11}{3}$ ÷ $4^{-\frac{2}{3} }$

A.1/12

B. 1/64

C.12

D.64

Answer:

B. 1/64

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Real world problem for 5x=3x+20

djverab [1.8K]

2x= 20

x= 10 is the answer

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3 years ago

Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).

nasty-shy [4]

Answer:

$f(x) = \frac{x - 25}{5x - 5}$

Domain: $x \ne 1$

Step-by-step explanation:

Given

$f(5x) = \frac{x - 5}{5x - 1}$

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

$f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}$

$f(x) = \frac{\frac{x}{5} - 5}{x - 1}$

Take LCM

$f(x) = \frac{\frac{x - 25}{5}}{x - 1}$

$f(x) = \frac{x - 25}{5} * \frac{1}{x-1}$

$f(x) = \frac{x - 25}{5x - 5}$

To get the domain, we set the denominator as

$5x - 5 \ne 0$

$5x \ne 5$

$x \ne 1$

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3 years ago

Which of the follong is the process of finding the factors of mathematical expression 2d²-8d

zhenek [66]

Answer:

2d(d - 4)

Step-by-step explanation:

Given

2d² - 8d ← factor out the common factor of 2d from each term

= 2d(d - 4) ← in factored form

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2 years ago

A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the following is closest to the a

ANTONII [103]

Answer:

The approximate value of the area is $153.86\ m^{2}$

Step-by-step explanation:

we know that

The area of the circle (landing pad) is equal to

$A=\pi r^{2}$

we have

$r=7\ m$

substitute

$A=\pi (7)^{2}$

$A=49\pi\ m^{2}$ ----> exact value of the area

Find the approximate value

assume $\pi=3.14$

$A=49(3.14)=153.86\ m^{2}$ ------> approximate value of the area

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2 years ago

Read 2 more answers

Suppose M is the midpoint of line FG.

alukav5142 [94]

$A)\\|FM|=5y+13;\ |MG|=5-3y\\\\|FG|=|FM|+|MG|\\\\|FG|=(5y+13)+(5-3y)=2y+18\\\\B)\\|FM|=8a+1;\ |FG|=42\\\\|FG|=2|FM|\\\\2(8a+1)=42\\16a+2=42\ \ \ \ \ |subtract\ 2\ from\ both\ sides\\16=40\ \ \ \ \ |divide\ both\ sides\ by\ 16\\a=\frac{40}{16}\\a=\frac{5}{2}\\a=2.5$

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2 years ago

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64​

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64