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3 years ago

How to write all real numbers in set notation?

1 answer:

7 0

Hi, this is the notation for inclusion of all real numbers.

$x \in \mathbb{R}$

We can also state numbers which are positive or negative with a sign on top of the R notation like so:

$x \in \mathbb{R}^{+} \text{ or } x \in \mathbb{R}^{-}$

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4x = 19, when x equals 5. True false or open

svp [43]

Answer:

false

Step-by-step explanation:

if x equals 5 then 4 times 5 would equal 20 not 19

8 0

4 years ago

Read 2 more answers

The point (7, 4) lies on a circle centered at the origin. Write the equation of the circle and state the radius.

k0ka [10]

Given:

The point (7, 4) lies on a circle centered at the origin.

To find:

The equation of the circle and the radius of the circle.

Solution:

Distance formula:

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

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.

$r=\sqrt{(0-7)^2+(0-4)^2}$

$r=\sqrt{(-7)^2+(-4)^2}$

$r=\sqrt{49+16}$

$r=\sqrt{65}$

The standard form of the circle is

$(x-h)^2+(y-k)^2=r^2$ ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=0, k=0 and $r=\sqrt{65}$ in (ii), we get

$(x-0)^2+(y-0)^2=(\sqrt{65})^2$

$x^2+y^2=65$

Therefore, the equation of the circle is $x^2+y^2=65$ and its radius is $r=\sqrt{65}$ .

7 0

3 years ago

2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned

antiseptic1488 [7]

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

8 0

3 years ago

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evablogger [386]

Answer:

Step-by-step explanation:

4 0

3 years ago

The tyre of a car wheel has an outer diameter of 30 cm . How many times will the wheel rotate on a journey of 5 km

faltersainse [42]

Answer:

5305.1647 times

Step-by-step explanation:

The Circumference of a circle : πd

d = diameter of circle = 30 cm

Circumference of wheel = π * 30cm = 94.247779 cm

1km to cm

1km = 100000cm

5 km = 500000 cm

Hence, number of times wheel rotate on a 5km journey :

500000 cm / 94.247779 cm

= 5305.1647 times

3 0

3 years ago