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3 years ago

Which of the following expressions is equivalent to the radical expression?

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

The correct answer is B) $m^{2/3}n^{5/3}$ .

The denominator of the exponent is the root we are taking. The numerator is the exponent of the radicand. This means 3 will be the denominator, since it is a cubed root, and 2 will be the numerator of m while 5 will be the numerator of n.

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In a study, researchers found that for every 3 people who preferred band A toothpaste 1 person preferred band B toothpaste. Whic

oksian1 [2.3K]

C) 3:1

For every 3 people who prefer band A toothpaste 1 person preferred band B toothpaste:

3 to 1=3:1.

8 0

3 years ago

Find the length of a diagonal of a square with sides 10in. long

Ghella [55]

Hey!!!
Answer is....
diagonals of square bisect each other at right angles.
let diagonal be 2x
Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...
${x}^{2} + {x}^{2} = {10}^{2}$
$2 {x}^{2} = 100$
${x }^{2} = 50$
$x = \sqrt{50}$
side of a diagonal=2 sqrt50
$= 10 \sqrt{2}$
cm......

HOPE IT HELPS YOU '_'

3 0

3 years ago

Read 2 more answers

Give an example of a function f : N → N that is surjective but not injective. You must explain why your example is surjective an

Helen [10]

Answer:

Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.

Step-by-step explanation:

First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.

However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.

Note:

If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.

7 0

3 years ago

What are the solutions of the quadratic equation?

Oliga [24]

Answer:

d)X=4 or x=-2

Step-by-step explanation:

X²-2x=8

X²-2x-8=0

(x-4)(x+2)=0

X-4=0 or x+2=0

X=4 or x=-2

4 0

2 years ago

Read 2 more answers

A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 2 1/2 feet of

sesenic [268]

Answer:

91/4(w+21/2)=108 3/4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers