What's the difference when five squared is subtracted from four cubed?

While in orbit, a space shuttle travels at a speed of 28,200 kilometers per hour. What is the total number of kilometers travele

kogti [31]

Answer:

The distance is 676,800 kilometers, which in scientific notation has a value of 6.748*10⁵ kilometers.

Step-by-step explanation:

A space shuttle travels at a speed of 28,200 kilometers per hour. Given that in 1 day there are 24 hours, it is possible to apply the following rule of three: if in 1 hour the space shuttle travels 28,200 kilometers, in 24 hours how much distance will the space shuttle travel?

$distance=\frac{24 hours*28,200 kilometers}{1 hour}$

distance= 676,800 kilometers

Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a*10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always a whole number, positive if it is shifted to the left, negative if it is shifted to the right.

To write the number 676,800 in scientific notation, perform the following steps:

The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number is then written, which will be the coefficient a in the expression of the previous product. In this case a=6.76800= 6.748

The base 10 is written with the exponent equal to the number of spaces that the comma moves. This is a positive number because the comma is shifted to the left. In this case n= 5

Then, the distance is 676,800 kilometers, which in scientific notation has a value of 6.748*10⁵ kilometers.

5 0

3 years ago

A man earns $112 interest in one year on an investment of $1,400. What was his rate of interest? 10% 12% 8%

GaryK [48]

Answer:

it issssssss

B

Step-by-step explanation:

6 0

3 years ago

Reflect figure over line x=4

Alborosie

Answer:

x=-4

Step-by-step explanation:

Filp the sign

3 0

3 years ago

Find the length of the side of the square that has the same area as a circle with radius r cm.

marusya05 [52]

The area of a square is given by the equation $A= s^{2}$

The area of a circle is given by the equation $A=\pi r^{2}$

Set these two equations equal to one another because the areas are equal, and then rearrange the equation in terms of r:

$s^{2}=\pi r^{2}$
$s= \sqrt{\pi r^{2} }$

6 0

3 years ago

What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of -8

belka [17]

Answer:

$\large\boxed{a_n=2(-4)^{n-1}=\dfrac{(-4)^n}{2}}$

Step-by-step explanation:

The explicit equation of a geometric sequence:

$a_n=a_1r^{n-1}$

The domain is the set of all Counting Numbers.

We have the first term of $a_1=2$ and the second term of $a_2=-8$ .

Calculate the common ratio r:

$r=\dfrac{a_{n-1}}{a_2}\to r=\dfrac{a_2}{a_1}$

Substitute:

$r=\dfrac{-8}{2}=-4$

$a_n=(2)(-4)^{n-1}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\a_n=(2\!\!\!\!\diagup^1)\left(\dfrac{(-4)^n}{4\!\!\!\!\diagup_2}\right)\\\\a_n=\dfrac{(-4)^n}{2}$

3 0

3 years ago

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