Let f(x)=√4x and g(x)=x+6, whats the smallest number that is the domain of f^o g?

Answers

Answer 1

Answer: f(x) = √(4x)
g(x) = x + 6

(f ο g)(x) = f(g(x))
(f ο g)(x) = √(4(x + 6))
(f ο g)(x) = 2√(x + 6)

The smallest number that is the domain of (f ο g)(x) is -6.

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Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?

Answers

Answer: The area of one wall is 216.72 ft^2.

Step-by-step explanation:

16.8 * 12.9 = 216.72

Need help solving this proportion....
x\4 = 5\7

Answers

$(x)/(4)= (5)/(7)$

$7*x=4*5$

$7x=20$

$x=2(6)/(20)$

$x=2(3)/(10)$

$x/4=5/7 \n 7x=4*5 \n 7x=20 \n x=20/7 \n x=2+6/7$

the expression 16t^2 models the distance in feet that an object falls during t seconds after being dropped. what distance will an object fall in 4 seconds?

Answers

The distance an object falls in 4 seconds is 256 feet.

Given,

The expression 16t² models the distance in feet that an object falls during t seconds after being dropped.

We need to find out what distance will an object fall in 4 seconds.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 1

x = 1

f(1) = 1 + 1 = 2

Input = 1

Output = 2

Find the expression that describes the distance at t seconds.

= 16t²

Find the distance at t = 4.

We have,

= 16t²

= 16 x 4²

= 16 x 16

= 256

Thus the distance an object fall in 4 seconds is 256 feet.

Learn more about finding distance at 2 seconds from a given expression here:

brainly.com/question/11260574

#SPJ2

1. it fell in 2 seconds so plug the "t" with 2

2. 16*4² ⇒ 4² = 16

3. 16*16 = 256

Which expression is equivalent to 4 sqrt 24x^6y/128x^4y^5

Answers

The equivalent expression is: $\frac{\sqrt[4]{3x^2}}{2y}$

The expression is given as:

$\sqrt[4]{(24x^6y)/(128x^4y^5)}$

Simplify

$\sqrt[4]{(3x^6y)/(16x^4y^5)}$

Apply the law of indices

$\sqrt[4]{(3x^(6- 4))/(16y^(5 -1))}$

Simplify

$\sqrt[4]{(3x^2)/(16y^4)}}}$

Take the 4th root of 16y^4

$(1)/(2y) *\sqrt[4]{3x^2}$

Rewrite as:

$\frac{\sqrt[4]{3x^2}}{2y}$

Hence, the equivalent expression is: $\frac{\sqrt[4]{3x^2}}{2y}$

Read more about equivalent expressions at:

brainly.com/question/2972832

Given expression: $\sqrt[4]{(24x^6y)/(128x^4y^5) }$ .

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=(3x^6y)/(16x^4y^5)$

$\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)\:=\:x^(a-b)$

$(x^6)/(x^4)=x^(6-4)=x^2$

$=(3x^2y)/(16y^5)$

$\mathrm{Cancel\:the\:common\:factor:}\:y$

$=(3x^2)/(16y^4)$

$=\sqrt[4]{(3x^2)/(16y^4)}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{(a)/(b)}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt[4]{3x^2}}{\sqrt[4]{16y^4}}$

$=\frac{\sqrt[4]{3x^2}}{\sqrt[4]{16}\sqrt[4]{y^4}}$

$=\frac{\sqrt[4]{3}\sqrt[4]{x^2}}{\sqrt[4]{16}\sqrt[4]{y^4}}$

$=\frac{\sqrt[4]{3}\sqrt[4]{x^2}}{2\sqrt[4]{y^4}}$

$=\frac{\sqrt[4]{3x^2}}{2y}$ .

Therefore, correct option is 4th option $\frac{\sqrt[4]{3x^2}}{2y}$ .

I need help please !!!!

Answers

$\sqrt[n]{a^m}=a^(m)/(n)\n\n√(c^5)=\sqrt[2]{c^5}=c^(5)/(2)$

The square root of a number means you take that number to the 1/2 power. Our number is
c^5. Taking its square root, we have
(c^5)^(1/2). When you have exponents like that, you can multiply them together. For example,
(x^2)^3 = x^(2*3) = x^6

In this case, we have
(c^5)^(1/2) = c^(5*(1/2)) = c^(5/2)

The Harris family needs to purchase topsoil for their landscaping project (measuring 50 ft x 40 ft with a thickness of 6 inches of topsoil/mulch). They have two options:a. purchasing the soil in 3 ft3 bags priced at $2.25 each with no delivery charge, or
b. purchasing in bulk at $18 per cubic yard with a one-time $50 delivery fee. Which option is the least expensive and by how much? Explain.

Answers

50ft x 40ft x 0.5ft = 1,000 ft³ of soil needed for the project

1000/3= 333.3 bags of soil would be needed, so round up to 334.
334 x $2.25 = $751.50

convert the feet³ to yards³, divide the 1000 ft³ by 27 (27 ft³ in 1 yard³)
1000/27= 37.037(repeating) yd³ I'll round up to 38 yd³
38yd³ x $18 = $684 + $50 delivery fee = $734

So, the bulk soil is less expensive by $17.50

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Let f(x)=√4x and g(x)=x+6, whats the smallest number that is the domain of f^o g?

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What is a function?

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Therefore, correct option is 4th option .

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Therefore, correct option is 4th option $\frac{\sqrt[4]{3x^2}}{2y}$ .