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3 years ago

PLEASE HELP QUICKLY 15 15 POINTS WILL GIVE BRAINLIEST!

Mathematics

2 answers:

goldenfox [79]3 years ago

8 0

Of the people in an apartment, about 33% have a pet. Of the people living in the house, about 36% have no pet.

klemol [59]3 years ago

6 0

Answer:

The question doesent make ny sense please clarify.

Step-by-step explanation:

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Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

3 years ago

A cable company charges $70 per month for cable service to existing customers. Find a linear equation representing the relations

aleksley [76]

Answer:

y = 70x

Step-by-step explanation:

5 0

2 years ago

What is 10 divided by 2 plus 8?

Burka [1]

Answer:

10 divided by 3 is 5 then you add 8 which will give you 13

6 0

3 years ago

Read 2 more answers

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic

dybincka [34]

Answer:

B. The maximum area that can be enclosed by the fencing

6 0

3 years ago

Đơn giản các biểu thức logic:<br> a- p ∧ (p ∨¬q) ∧ (¬p ∨ ¬q)

creativ13 [48]

I can't conveniently copy the logical symbols you use, so I write

AND = ∧ (conjunction)

OR = ∨ (disjunction)

NOT = ¬

Tautologically,

p = (p AND q) OR (p AND NOT q)

and we can distribute the OR to get the equivalent statement

(p OR (p AND NOT q)) AND (q OR (p AND NOT q))

and again to get

((p OR p) AND (p OR NOT q)) AND ((p OR q) AND (q OR NOT q))

Now, q OR NOT q is always true, and p OR p is simply p, so we have

p = p AND (p OR q) AND (p OR NOT q)

This shows that p OR NOT q is already included in p, so our initial statement is simply

p AND (NOT p OR NOT q)

Distributing the conjunction, we get

(p AND NOT p) OR (p AND NOT q)

p AND NOT p is tautologically false, but we're considering a disjunction, so the truth value of p AND NOT q is the only value that's relevant. So, the initial statement collapses to

p AND NOT q

5 0

3 years ago