Which integer in the set has the greatest value (-144, -4, -3, -13)?

The area of a square is 484 square inches. How long is each side?

hodyreva [135]

Answer:

$\sqrt{484} =22$

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

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

2 years ago

In this graph what is the slope of the line?

sashaice [31]

Answer:

The slope of the line is 10

Step-by-step explanation:

To find the slope, simply identify 2 points on the line. I chose: (1,10) and (2,20)

20-10=10

2-1=1

The slope of the line is 10

To check this answer, just multiply X with 10 and you will always get Y!

7 0

3 years ago

1) Which of the following is a surd ? a) 64 b) 6 root 64 c) 4 root 64 d) 3 root 64

Mashcka [7]

Answer:

$\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}$

Step-by-step explanation:

$\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}$

5 0

2 years ago

Name an object that could be about the same length as each measurement. A. 4 inches b. 6 feet c. 1 meter d. 5 yards a. 6 centime

Nastasia [14]

Answer and Step-by-step explanation:

A. 4 inches: An object that's 4 inches is about 2.54 centimeters or 25.4 millimeters. An business envelope is typically about 4 inches by 9 inches for example.

B. 6 feet: A 6 feet object is quite big when compared to just 4 inches. A feet is 12 inches hence 6 feet is 72 inches. A very tall human being is typically 6 feet.

C. 1 meter: A meter is about 39.37 inches hence it is quite big when compared to a feet. A baseball bat is one meter long.

D. 5 yards: A yard is 36 inches hence a bit smaller than a meter. A trampoline could be 5 yards for example

E. 6 centimeters: one centimeter is 0.394 inches hence smaller than an inch. A 6 centimeters object for example is pencil for writing.

F. 2 millimeters: a millimeter is 0.0394 inches hence smaller than a centimeter and an inch. An orange seed could be 2 millimeters long

G. 3 kilometers: one kilometer is 39370.079 inches hence a kilometer is bigger than inches, meter, feet, yards, centimeters, millimeters. A very big tree could be 3 kilometers long

5 0

3 years ago