A number has exactly eight factors. Two of the factors are 10 and 14 . what is the number, and what are all of the factors?

Write any 4 laws of exponents.<br>

emmainna [20.7K]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write any 4 laws, or properties, of exponents.</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

$\Large\text{Law number 1:-}$

$\Large\text{$a^n*a^m=a^{n+m}$}$

$\Large\text{It states that:-}$

When we multiply together numbers with the same base,

we add the exponents.

$\Large\text{Law number 2:-}$

$\Large\text{$a^m:a^n=a^{m-n}$}$

$\Large\text{It states that:-}$

When we divide numbers with the same base, we

subtract the exponents.

$\Large\text{Law number 3:-}$

$\Large\text{$(\displaystyle\frac{x}{y}) ^n=\frac{x^n}{y^n}$}$

$\Large\text{It states that:-}$

If we have a fraction to a power, we raise the numerator and

the denominator to that power.

And then last but not least,

$\Large\textit{Law number 4:-}$

$\Large\text{$a^{-m} =\displaystyle\frac{1}{a^m}$}$

$\Large\text{It states that:-}$

If we have a number with a negative exponent, we flip it over.

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

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6 0

2 years ago

Read 2 more answers

In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc

dimaraw [331]

Answer:

first shift: 13,750 bulbs
second shift: 2500 bulbs

Step-by-step explanation:

The production ratio is ...

shift 1 : shift 2 = 5.5 : 1 = 11 : 2

so, the production on shift 1 as a ratio to the total is ...

shift 1 : total = 11 : (11+2) = 11 : 13

The first shift produced ...

(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift

and the second shift produced ...

(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift

_____

Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.

3 0

3 years ago

A cylinder has a volume of 390 cm³. If a cone has the same dimensions as the cylinder then what is the volume of the cone.

dangina [55]

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= $\pi$ $r^{2} *h$ Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= $\pi$ $r^{2}$ *h /3

So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V = 130 cm^3

8 0

3 years ago

Solve equation by completing the square 5n^2-3n-10=15

VARVARA [1.3K]

These are the two answers you could get

5 0

3 years ago

2. Sandi can run for one hour at a constant speed of 348 cm per second. Marci can run for one

Zanzabum

Answer:

Marci is the faster runner.

Step-by-step explanation:

Sandi can run 348 cm in a second. Let's find out how many cm she can run in a minute: in a minute there are 60 seconds. So lets multiply 348cm times 60, this gives you 20,880. That is how much she travels in a minute, now let's find out how much she runs in an hour: if she runs 20,880 cm in an minute and there are 60 minutes in an hour, then all you have to do is multiply 20,880 times 60, this gives you 1,252,800. That is how many cm she runs in an hour. Now let's change from cm to miles. There are 160,934 cm in a mile. If we divide 1,252,800 by 160,934 this will give you

7 0

1 year ago