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3 years ago

1. How do you calculate a power?

1 answer:

4 0

<span>1. The n-th power of a number is calculated by multiplying the number n-times with itself.

2. Instead of repeatedly writing the number that is multiplied n-times with itself, the exponential notation is used. This notation consists of two components the base and the exponent. The exponent tells you how many times the base is multiplied with itself.

3. When dealing with very large numbers in mathematics or physics it is usually impractical to fully write out these numbers, instead the exponential notation can be used. In this notation the number 3,000 can be written like 3 * 10^3, because the 3rd power of 10 is 10 * 10 * 10 = 1,000 and multiplied by 3 the result equals 3,000. To illustrate the usefulness of this notation here is an example from physics: the estimated number of atoms in the universe is 1 * 10^80 atoms. This number is made of a 1 followed by 80 zeros.

4. Instead of repeatedly writing down the multiplication of the base x with itself, you would simply write the exponent in superscript next to it. In this example the exponent is 5, so you would write it like this: x^5</span>

You might be interested in

What is 2/50 as a decimal

Thepotemich [5.8K]

Okay so what we need to do is simplify 2/50, which is 1/25.
Now divide 25 into 1.
Which we will get 0.04
Now we need to move the decimal 2 times to the right.
It will be 4%
Or just multiply it by 100 and you will get 4%.

7 0

3 years ago

Read 2 more answers

What is 12X-4y = -8 written in slope-intercept form?

qwelly [4]

Answer:

y = 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

12x - 4y = - 8 ( subtract 12x from both sides )

- 4y = - 12x - 8 ( divide all terms by - 4 )

y = 3x + 2 ← in slope- intercept form

3 0

3 years ago

One number is 3 less than 4 times a second number. The difference of the

s344n2d4d5 [400]

Answer:

17 and 5

Step-by-step explanation:

Interesting question!

Turn both sentences to equations:

$a=4b-3\\a-2b=7$

a is the first number, and b is the second number.

A system of equations! A graphing calculator will do the work:

(See picture)

The y in the picture is a, and the x in the picture is b.

So the solution is a=17 and b=5

3 0

3 years ago

Let θ

konstantin123 [22]

Answer:

θ is decreasing at the rate of $\frac{21}{16}$ units/sec

or $\frac{d}{dt}$ (θ) = $\frac{-21}{16}$

Step-by-step explanation:

Given :

Length of side opposite to angle θ is y

Length of side adjacent to angle θ is x

θ is part of a right angle triangle

At this instant,

x = 8 , $\frac{dx}{dt}$ = 7

( $\frac{dx}{dt}$ denotes the rate of change of x with respect to time)

y = 8 , $\frac{dy}{dt}$ = -14

( The negative sign denotes the decreasing rate of change )

Here because it is a right angle triangle,

tanθ = $\frac{y}{x}$ -------------------------------------------------------------------1

At this instant,

tanθ = $\frac{8}{8}$ = 1

Therefore θ = π/4

We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or $\frac{d}{dt}$ (θ)

$\frac{d}{dt}$ (tanθ) = $\frac{d}{dt}$ (y/x)

( Applying chain rule of differentiation for R.H.S as y*1/x)

$sec^{2}$ θ $\frac{d}{dt}$ (θ) = $\frac{1}{x}$ $\frac{dy}{dt}$ - $\frac{y}{x*x}$ $\frac{dx}{dt}$ -----------------------2

Substituting the values of x , y , $\frac{dx}{dt}$ , $\frac{dy}{dt}$ , θ at that instant in equation (2)

2 $\frac{d}{dt}$ (θ) = $\frac{1}{8}$ *(-14)- $\frac{8}{8*8}$ *7

$\frac{d}{dt}$ (θ) = $\frac{-21}{16}$

Therefore θ is decreasing at the rate of $\frac{21}{16}$ units/sec

or $\frac{d}{dt}$ (θ) = $\frac{-21}{16}$

3 0

3 years ago

I need help ASAP

ra1l [238]

Answer:

x =y-3 x=y-3 x=y-3 x=3

2 (y-3) + y= 12 => 3y= 18 => y= 6 => y=6

Step-by-step explanation:

6 0

3 years ago