MATHEMATICS MIDDLE SCHOOL

Which expression is equivalent to –8? –2–3

(-1/2)^-3

(1/2)^-3

2–3

Answers

Answer 1
Answer:

Answer: second option. (NOTE: If the first option is (-2)^3, then it would be an equivalent expression too, because:  (-2)(-2)(-2)=-8)

Step-by-step explanation:

To solve this problem you must keep on mind the following exponents rule:

((1)/(a))^-b=a^b

Therfore, you have that:

(-(1)/(2))^-3=(-2)^3

This means that the number -2 must be multiply by itself three times. Therefore, you obtain the folllowing result:

(-2)(-2)(-2)=-8

If the first option is (-2)^3, then it would be an equivalent expression too, because:

 (-2)(-2)(-2)=-8
Answer 2
Answer:

Answer:

((-1)/(2))^(-3) = -8.

Step-by-step explanation:

Given :  –8.

To find : Which expression is equivalent.

Solution : We have given  –8.

By the radical rule : ((-1)/(x))^(-a) = -x^(a).

Then

((-1)/(2))^(-3) = -2^(3).

((-1)/(2))^(-3) = -8.

Therefore,  ((-1)/(2))^(-3) = -8.

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If the teacher surveys a larger group of 65 children, how many would we expect to have a rabbit? ______

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The Answer would be :5

Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?

Answers

The price of a video game is now 50 dollars after the 20% discount.The question is what is the expression to be able to solve that amount before the 20% discount.=> 100% - 20% = 80%=> 50 is the 80% => 80% = .80Expression = .80 = 50, where x is the unknown number that we  need to know.
=> .80 = 50 => .80x / .80 = 50 / .80=> x = 62.5 dollars is the original price of the said video game on sale.

50x.2 is the correct expression.

if a circle is inscribed in a square with a perimeter of 24 cm., what is the circumference of the circle?​

Answers

The circumference of the circle is 6.28 cm.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Perimeter of a square is the length of it's boundary.

Perimeter of a square = 4a, where a is the side length.

4a = 24 cm

a = 24 / 4

a = 6 cm

If a circle is inscribed in a square, diameter of the square is same as the side length of square.

Diameter, d = 6 cm

Radius, r = d / 2 = 3 cm

Circumference of a circle is the length of it's boundary.

Circumference = 2 π r

                         = 2π × 3

                         = 6π

                         = 6.28 cm

Hence the circumference of the circle is 6.28 cm.

Learn more about Circumference here :

brainly.com/question/28757341

#SPJ5

Answer:

the side length of the square is 6 cm. The perimeter P of a square with side length s is given by P=4s . The perimeter of the square is 24 cm.

Step-by-step explanation:

1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each year.Use this information to calculate the percentage increase in the population over a year.2. Mike says, ‘An increase of 93 million people each year is more than 170 people each minute’.Show that he is correct.

Answers

The fraction can simplify down to (93)/(6200) convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true

What is 75% in simplest form

Answers

3/4 or 0.75 or just 75%. doesn't get much simpler
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Identify the domain and range

Answers

Answer:

Domain:  (-∞, ∞), or x∈R, or -∞<x<∞

Range: (-∞, ∞), or y∈R, or -∞<y<∞

Step-by-step explanation:

Domain and range are all real numbers. Domain is all values of x, range is all values of y.

Domain:  (-∞, ∞), or x∈R, or -∞<x<∞

Range: (-∞, ∞), or y∈R, or -∞<y<∞
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