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3 years ago

Arithmetic series HELP PLEASE

Mathematics

2 answers:

KIM [24]3 years ago

5 0

Answer:

5050

Step-by-step explanation:

∑_{n=1 to 50} (4n-1)

a1=4×1-1=3

a2=4×2-1=7

a3=4×3-1=11

......................

a50=4×50-1=199

n=50

Sn=n/2(a1+an)

S50=50/2(3+199)=50/2×202=50×101=5050

otez555 [7]3 years ago

3 0

Put the value of n from 1 to 50 in 4n-1

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The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. Th

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Answer:

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Step-by-step explanation:

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Dimension of backdrop : 20 feets long ; 16 feets high

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The correct scale factor can be obtained thus :

Ratio of backdrop dimension to the actual dimension of building

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3 years ago

A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What

I am Lyosha [343]

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = $\frac{distance}{time}$

1. total distance covered = $\frac{9}{8}$ + $\frac{27}{8}$

= $\frac{9+27}{8}$

= $\frac{36}{8}$

= 4 $\frac{1}{2}$ inches

Total time taken = $\frac{3}{4}$ + $\frac{9}{4}$

= $\frac{3 +9}{4}$

= $\frac{12}{4}$

= 3 minutes

The ants average speed = $\frac{4.5}{3}$

= 1 $\frac{1}{2}$

= 1.5

The ants speed is 1 $\frac{1}{2}$ inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = $\frac{3}{60}$

= $\frac{1}{60}$

= 0.05 hours

Speed = $\frac{4.5}{0.05}$

= 90 inches per hour

The red ants speed is 90 inches per hour.

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3 years ago