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3 years ago

What is the simplified form of the expression k^3(k7/5)^-5

Mathematics

2 answers:

sukhopar [10]3 years ago

7 0

Answer:

Hello

The answer is 3125/k-32

Marizza181 [45]3 years ago

5 0

k^3(k7/5)^-5 can be rewritten as (k^3) * (7k/5)^(-5) (must use parentheses around that "-5").

This would be better written as

k^3 k^3 * 5^5
------------ = -------------------
(7k/5)^5 7^5 * k^5

Then k^3 / k^5 reduces to 1 / k^2, and 5^5 / 7^5 reduces to 1 / 5^2, or 1 / 25.

Thus,

the answer in simplest form is

1
-----------
25k^2

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The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which

Maurinko [17]

Answer:

The option is: all real values except x = 7 and the x for which f(x) = -3

Step-by-step explanation:

As the domain of f(x) is the set of all real values except 7. So it can be written as follows:

Domain of f(x) = { x ∈ R | x ≠ 7}

As the domain of g(x) is the set of all real values except -3. So it can be written as follows:

Domain of g(x) = { x ∈ R | x ≠ -3}

It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.

So, the option is: all real values except x = 7 and the x for which f(x) = -3

Keywords: domain, composite function

Learn more domain and composite functions from brainly.com/question/2073574

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3 years ago

Freyda has a circular rug with a radius of 120 centimeters. The fringe on the outside edge of the rug needs to be replaced. What

Gnom [1K]

Answer:

The Fringe of the rug is 754 cm.

Step-by-step explanation:

Given:

radius = 120 cm

We need to find the fringe of the outside rug.

Solution:

Since the rug is in the circular form.

We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.

Then we will find the Circumference of the circle.

Circumference of the circle is given 2 times 'π' times radius 'r'.

framing in equation form we get;

Circumference of the circle = $2\pi r$

Circumference of the circle = $2 \times \pi \times 120 = 753.98 \approx 754\ cm$

Hence the Fringe of the rug is 754 cm.

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3 years ago

Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.

sergiy2304 [10]

Hello :
if : a ≡ 5 ( mod 7) ....(1)
b ≡ 6 ( mod 7) ...(2)
(1)×(2) : ab ≡ 30 ( mod 7)
but : 30 = 7×4 + 2 ..... so : 30 ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)

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3 years ago

PLEASE HELP!!! MATH IS HORRIBLE! URGENT!!

torisob [31]

Answer:

A. m-6/24

Step-by-step explanation:

This is the required expression because,

1. Quotient of 24 and 6 less than m.

2. It means quotient of 24 and 6 subtracted from m.

3. Representing it mathematically, m-6/24.

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