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g100num [7]
3 years ago
15

Use a compatible numbers to estimate the quotient for 469.4 divided by 62

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0
The compatible number is 8 I hope I helped.
You might be interested in
Please helpppppp meeee
yKpoI14uk [10]

Answer:

0.25     Converges

Step-by-step explanation:

First, we need to expand our series so that we get the following:

\sum _{n=1}^{\infty \:}\frac{n}{4^n}+\frac{1}{4^{n+1}}

We can then use the series ratio test on each term. (L < 1 = absolutely convergent)

\sum _{n=1}^{\infty \:}\frac{n}{4^n}

\lim_{n \to \infty} \frac{n}{4^{n}\\} =

⇒  converges

\sum _{n=1}^{\infty \:}\frac{1}{4^n^+1}

\lim_{n \to \infty} \frac{n}{4^{n}^+1\\}

⇒  converges

converges + converges

= converges

~Hope this helps! Once again, sorry if my explanation is a bit confusing~

8 0
3 years ago
Every morning Lucas runs 1 7/10 miles. How far does he run in 5 days?
dybincka [34]

1 (5) = 5

7/10(5/1) = 35/10

Simplify.

35/10 = 3 5/10 = 3 1/2

5 + 3 1/2 = 8 1/2

Lucas ran 8 1/2 miles in 5 days.

7 0
3 years ago
Of the 10 clients who had their hair cut at Sue's salon last month, 5 had blond hair. Considering this data, how many of the nex
lesya [120]

Answer: 7 clients

Step-by-step explanation:

Of the last 10 clients that cut their hair at the salon, 5 had blond hair.

That is a proportion of:

= 5 / 10

= 1/2

Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:

= Number of clients * 1/2

= 14 * 1/2

= 7 clients

7 0
3 years ago
The perimeter of a rectangle is 400 meters. The length is 15 meters less than 4 times the width. Find the length and width. (sho
Anna [14]
L=4*w-15
P=2w+2l=2w+2*(4w-15)=2w+8w-2*15=400
10w-30=400
10w=400+30=430
w=430:10
w=43 m
l=4*43-15=172-15
l=157 m
7 0
3 years ago
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
eduard
To calculate percent change:
(difference between original and new)/original * 100
(19-15)/15 * 100 =
4/15 * 100 = 26.7 % increase

5 0
3 years ago
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