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3 years ago

Which of the following is the rational exponent expression of fourth root of f?

Mathematics

2 answers:

Ivanshal [37]3 years ago

8 0

That would be f^1/4.

1/4 being the rational exponent

Kay [80]3 years ago

8 0

Answer:

The required expression is $f^{\frac{1}{4}}$ .

Step-by-step explanation:

We need to find the rational exponent expression of fourth root of f.

The given expression is

$\sqrt[4]{f}$

According to radical property of exponent.

$\sqrt[n]{x}=x^{\frac{1}{n}}$

In the given expression n=4 and $x=f$ .

Using radical property of exponent, we get

$\sqrt[4]{f}=f^{\frac{1}{4}}$

Therefore the rational exponent expression of fourth root of f is $f^{\frac{1}{4}}$ .

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This question has three parts. Answer the parts in order.

nalin [4]

Answer:

The area of the smallest section is $A_{1}=100yd^{2}$

The area of the largest section is $A_{2}=625yd^{2}$

The area of the remaining section is $A_{3}=250yd^{2}$

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

$A_{1}=10yd*10yd$

$A_{1}=100yd^{2}$

- Area of the second section:

$A_{2}=x^{2}$ (Eq.1)

- Area of the third section:

$A_{3}=width*length$

$A_{3}=10yd*x$ (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

$A_{1}+A_{2}+A_{3}=975yd^{2}$

Replacing values:

$100+x^{2}+10x=975$

Solving for x:

$x^{2}+10x-875=0$

$x=\frac{-10+\sqrt{100+(4*875)}}{2}$

$x=\frac{-10+\sqrt{3600}}{2}$

$x=\frac{-10+60}{2}$

$x=25$

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

$A_{2}=25^{2}$

$A_{2}=625yd^{2}$

- From Eq.2:

$A_{3}=10*25$

$A_{3}=250yd^{2}$

3 0

3 years ago

F(x)=3x+2 and g(x)=-2x-4, find h(x) = f(x)-g(x)

elena-14-01-66 [18.8K]

Answer:

5x-2

Step-by-step explanation:

Since f(x)-g(x) you take 3x+2 and subtract -2x-4.

3x+2+2x-4

5x-2

6 0

3 years ago

the three median of a triangle intersect as a point. which measurements could represent the segments of one of the medians? 2 an

topjm [15]

2 & 3 is your answer

6 0

3 years ago

What does 280 become when you add 25% to it?

Basile [38]

Answer: 350

Step-by-step explanation:

25 percent of 280 is 70 so it is 350

8 0

3 years ago

Read 2 more answers

What does 6(-2.1k - 2) + (7k + 5) equal

ikadub [295]

Answer:

Step-by-step explanation:

6(-2.1k-2)+(7k+5)

-12.6k-12+7k+5

-5.6k-7

5 0

3 years ago