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2 years ago

Lin and diego are discussing two expressions x^2 and 2^x

Mathematics

1 answer:

ss7ja [257]2 years ago

3 0

Answer:

The expression a^b

means that we multiplicate the number a by itself b times.

So x^2 means that we multiplicate the number x by itself 2 times:

x^2 = x*x

and 2^x means that we multiplicate the number 2 by itself x times

2^x = 2*2*2*....*2 (if you count them, you should see x times the number 2)

for example, if x = 4, we will have

2^4 = 2*2*2*2

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Miguel plots points A, B, and C in the coordinate plane.

serg [7]

Answer:

part a: 5

part b: no, ABC is not an equilateral triangle

Step-by-step explanation:

part a: if you do the distance formula for points A and B, you get 5

part b: using the distance formula again, points A to B and points A to C are both 5, but points B to C is 6, therefore it's not equilateral because all the sides have to be the same length

6 0

2 years ago

HELP ME PLEASE, ILL GIVE BRAINLIEST TO YOU Each year, the Department of Water Works measures the chloride concentration level in

Lunna [17]

- 1 1/3 - 2 1/5

= -4/3 - 11/5

= -20/15 - 33/15

= -53/15

= -3 8/15 mg/L

3 0

2 years ago

Read 2 more answers

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

Hello please help thanks

jenyasd209 [6]

Answer:

oceans and the Sun

Step-by-step explanation:

The Sun heats ocean water causing some to evaporate. Tides move the ocean water. Waves move ocean water onto the shore.

7 0

2 years ago

Brady has a four square ball with a diameter of 12 inches when it is inflated what is the volume of the foursquare ball to the n

polet [3.4K]

Answer:

904.9 in^3

Step-by-step explanation:

Given data

We are told that the ball is 12 inches in diameter

R= diamter/2= 12/2= 6 in

The volume of a sphere is given as

V= 4/3πr^3

substitute

V= 4/3*3.142*6^3

V= 4/3*3.142*216

V=2714.688/3

V=904.9 in^3

Hence the volume is 904.9 in^3

4 0

2 years ago