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2 years ago

Select the answer choice below that represents 5.9 x 10-4 in standard notation.

1 answer:

6 0

This means that you have to move the decimal point 4 decimal places to the left, as denoted by the negative sign. Thus, this would add 3 zeros before 5. The answer would be 0.00059.

I hope the explanation was clear to you. Have a good day.

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Solve y/2 + 22 =38 for y

KATRIN_1 [288]

Answer:

y = 32

Step-by-step explanation:

$\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32$

4 0

2 years ago

Read 2 more answers

A woman store sells the following categories of clothing for the following prices Blouse :¢14 each, skirt:¢16 each, Dress :¢25 e

eimsori [14]

Hello! What currency is this question in?

3 0

2 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

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

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

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

and the pattern continues down to the first term $a_1=0$ ,

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

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

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

4 0

2 years ago

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.

navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

hypothenuse = x
adjacent = 11.2
opposite = 16

<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

$x^2 = y^2 + z^2\\$