The expression 50(1.012,7t represents the number of subscribers who have signed up for a

PLEASE HELP!!! Classify each real number. List all the subsets in which the number belongs.

Marat540 [252]

Answer:

9^3 is Natural, Whole, Integer, and Rational

7/4 is Rational

√3 is Irrational

0 is Whole, Integer, and Rational

Thinking Process:

Alright, to start, with 9^3, it equal 729. This is a natural, whole, integer, and rational number. It is a natural number because it follows the counting (1, 2, 3...etc). Because of this, it is also part of all of the other rational categories as well.

With the next one, 7/4, this equals 1.75. It is not a natural, whole, or integer number because it is a decimal. However, it is rational, because it is still definite.

Next, with √3, this equals 1.73205.... It is irrational because it is not definite as it is a sequence of numbers that go on forever, being unpredictable in nature.

Last is 0, it is not a natural number because it does not follow the counting (1, 3, 3...etc). But it is whole because it follows the counting (0, 1, 2, 3...etc). This is along with it being an integer and rational because of this.

5 0

3 years ago

1/5 of the passengers on a bus are young adults and 2/3 of them are children. The remaining passengers are senior citizens. What

saveliy_v [14]

Answer:

Step-by-step explanation:

First, you need to find the fraction of the passengers who are not senior citizens. Add 1/5 and 2/3 to get 13/15.

This means that 13/15 of the passengers aren't senior citizens and 2/15 of the passengers are senior citizens.

Hope i helped!

5 0

4 years ago

Please help, the question below

Licemer1 [7]

Answer:

$\sf R=\left(3, -\dfrac{5}{4}\right)$

Step-by-step explanation:

Given:

P = (1, 5)
Q = (-2, 3)
R = (a, b)
R lies on line x = 3
PR = QR

If point R lies on the line x = 3, then the x-value of point R is 3.

⇒ a = 3

Distance between two points

$\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

(where (x₁, y₁) and (x₂, y₂) are the two points)

Use the distance formula to derive equations for PR and QR.

Let (x₁, y₁) = P = (1, 5)

Let (x₂, y₂) = R = (3, b)

$\begin{aligned} \sf PR & =\sf \sqrt{(3-1)^2+(b-5)^2}\\ & = \sf \sqrt{4+(b-5)^2} \end{aligned}$

Let (x₁, y₁) = Q = (-2, 3)

Let (x₂, y₂) = R = (3, b)

$\begin{aligned} \sf QR & =\sf \sqrt{(3-(-2))^2+(b-3)^2}\\ & = \sf \sqrt{25+(b-3)^2} \end{aligned}$

As PR = QR, equate the derived equations and solve for b:

$\begin{aligned} \sf PR & = \sf QR \\\sf \sqrt{4+(b-5)^2} & = \sf \sqrt{25+(b-3)^2}\\\sf 4+(b-5)^2 & = \sf 25+(b-3)^2\\\sf 4+b^2-10b+25 & = \sf 25 + b^2-6b+9\\\sf b^2-10b+29 & = \sf b^2 -6b +34\\\sf -10b+29 & = \sf -6b + 34\\\sf -4b & = \sf 5\\\sf b & = -\dfrac{5}{4}\end{aligned}$