Is the number written in scientific notation? If not, explain.

1 answer:

3 0

$Scientific\ notation:\ a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}\\\\a.\ 0.15\cdot10^4-NOT,\ because\ 0.15 \ \textless \ 1.\ Correct\ is\ 1.5\cdot10^3\\\\b.\ 7.06\cdot10^{-8}-YES\\\\c.\ 3.3\cdot100^1-NOT,\ because\ is\ 100,\ not\ 10.\ Correct\ is\ 3.3\cdot10^2$

You might be interested in

Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general a

Makovka662 [10]

There was 3000 general admission tickets sold and 500 kid ticket sold.

How did I get this?

First, we need to see what information we have.
$2.50 = General admission tickets = (G)
$0.50 = kids tickets = (K)
There were 6x as many general admission tickets sold as kids. G = 6K

We need two equations:
G = 6K
$2.50G + $.50K = $7750
Since, G = 6K we can substitute that into the 2nd equation.

2.50(6K) + .50K = 7750
Distribute 2.50 into the parenthesis

15K + .50K = 7750
combine like terms

15.50K = 7750
Divide both sides by 15.50, the left side will cancel out.

K = 7750/15.50
K = 500 tickets
So, 500 kid tickets were sold.

Plug K into our first equation (G = 6k)

G = 6*500
G = 3000 tickets

So, 3000 general admission tickets were sold,

Let's check this:

$2.50(3000 tickets) = $7500 (cost of general admission tickets)
$.50(500 tickets) = $250 (cost of general admission tickets)
$7500 + $250 = $7750 (total cost of tickets)

4 0

3 years ago

Does square root of 162 = square root of 81 and square root of 81 added

madam [21]

No.
.. √162 = (√2)*(√81)
.. √81 +√81 = 2√81 = √324

Square root is a non-linear function. sqrt(a +b) ≠ sqrt(a) +sqrt(b)

5 0

3 years ago

On Sunday a library checked out 52books .if 24 of the books were fiction what is the ratio of non fiction books to fiction books

lana66690 [7]

Answer:

Ratio of Non Fiction : Fiction books = 7 : 6

Step-by-step explanation:

Total number of books checked out = 52

Number of fiction books checked out = 24

So, number of non fiction books = Total books - number of fiction books

Or, number of non fiction = 52 - 24 = 28 books

Now, ratio of Non Fiction : Fiction books = 28 : 24

Solving the ratio term in its lowest form, we get

The Ratio of Non Fiction : Fiction books = 7 : 6

7 0

3 years ago

How to simplify tan(x)/ cos(x)-sec(x)

Artemon [7]

<span> tan(x)/ cos(x)-sec(x)
tanx/(cosx-1/cosx)
tanx/cos^2x-1)--------------------1-sin^2x=cos^2x
-tanx/sin^2x
-(sinx/cosx)/sin^2x
-1/sinxcosx
multiply 2/2
-2/2sinxcosx-------------sin2x=2sincosx
-2/sin2x------------------1/sinx=cosecx
-2cosec2x</span>

7 0

3 years ago

One day, eleven babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probab

Andrews [41]

You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1. This will give probability that any other number up to 9 of the babies are girls.

Use binomial theorem.
$P(x=k) = (nCk) p^k (1-p)^{n-k}$

n = 11
k = 10,11
p = 1/2

$P(x=10) = 11 (\frac{1}{2})^{11} = \frac{11}{2048} \\ \\ P(x=11) = 1(\frac{1}{2})^{11} = \frac{1}{2048} \\ \\ P(x \leq 9) = 1 - \frac{11}{2048} - \frac{1}{2048} \\ \\ P(x \leq 9)=\frac{2036}{2048} = \frac{509}{512}$

4 0

3 years ago