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kogti [31]
2 years ago
7

What is the explicit rule for the arithmetic sequence shown in the graph?

Mathematics
1 answer:
Harman [31]2 years ago
3 0

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term.  Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

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Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is
castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

5 0
2 years ago
Diameter is 22.5m. Calculate the area (round your answer to 2 decimal places). Use 3.14 for Pi.​
Tamiku [17]

Answer:

because r=d/2 it will be

22.5/2=r

r=11.25m

c=2×3.14×11.25

c=70.65msquare

c=7065/1oo

7 0
3 years ago
HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED
NemiM [27]

Answer:

11.3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Work out the volume of this sphere?
ale4655 [162]

Answer:

1436.8 cm^3

Step-by-step explanation:

You just plug it in:

r = 7 since it is the radius

Volume = (4 / 3) pi x r^3

Volume = (4 / 3) pi x (7)^3

Volume = 1436.75 = 1436.8 cm^3 (nearest tenth)

4 0
3 years ago
16. A plastic tray is shown, with the dimensions
Virty [35]

Answer:

calculate it. its not cheating, its like flash cards but better, besides its made for that reason.;)

Step-by-step explanation:

7 0
3 years ago
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