All categories

3 years ago

How do u find the scientific notation for this problem

Mathematics

1 answer:

dedylja [7]3 years ago

5 0

You put both parentheses in standard form, then divide as if it were a normal problem. Once the quotient is found, move the decimal point to the right. Every time you move one space to the left, increase the exponent by one but also divide your quotient by 10
example:
10³/10²
1000/100
10
10= $10^{1}$

You might be interested in

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

4×(x+1)−5=11 NEED HELPPPP

AleksandrR [38]

X=4 this is because 4 times (x+1)-5=11 the 1x then just turns to x because you can’t have a 1 next to x when it’s just one x.
4*(x+1)-5=11
4(x)-5=11
4x-5=11
+5=11
—————
4x=16
4. 4
———-
X=4

4 0

3 years ago

Which function has a y-intercept of 3?

liq [111]

If you have choices, you should list them. If you are just asking about any example, then here are some.

y = a*x + 3 ; the value of a can be any real number.

- 3x + y = 3
2y + 4x = 6

ny = ax + 3*n When you divide through by n, you get
y = a/n * x + 3n/n
y = ax/n + 3

3 0

4 years ago

Which of the following shows the correct evaluation for the exponential expression ( look at the picture)

Tcecarenko [31]

It is b because I did this already

3 0

2 years ago

Show your work on the question

Law Incorporation [45]

Expression equivalent to $(3b)^{\frac{2}{d}}$ is $(\sqrt[d]{3b})^2$