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pantera1 [17]
2 years ago
10

Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 303030 meters below the edg

e of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.54.54, point, 5 seconds, he was 7.57.57, point, 5 meters below the edge of the volcano How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?
Mathematics
1 answer:
Alex2 years ago
6 0

Answer:

5m/s;

6 seconds

Step-by-step explanation:

Given the following :

Initial position = 30 m below

He climbed at a constant rate, and was 7.5 m below after 4.5 s.

Distance climbed or covered in 4.5 seconds :

(Initial position - current position)

(30 - 7. 5)m = 22.5 meters

Using the relation:

Speed = distance covered / time taken

Therefore,

Shota's speed = 22.5m / 4.5s = 5m/s

Time taken to reach edge of volcano :

Distance left to cover = 7.5m

Speed = 5m/s

Time required to cover remaining distance :

= distance / speed

= (7.5m ÷ 5m/s) = 1.5s

Total time to reach edge :

(4.5 + 1.5)s = 6 seconds

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Step-by-step explanation:

Sample size = 95

X=cash carried by the persons

x bar = 8.00

s = sample std dev = 2.50

Std error = \frac{s}{\sqrt{n} } =\frac{2.5}{\sqrt{95} } \\=0.2565

Hence Z score would be

\frac{x-8}{0.2565}

a) P(X

-0.00

b) P(9

c) 95% conf interval margin of error = ±1.96*0.2565

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3 0
1 year ago
A bicycle tire has a radius of 5 inches. To the nearest inch, how far does the tire travel when it makes 8 revolutions?
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Answer:

251 inches

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c = 2πr

c = 2(3.14)(5) = 31.4

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4 0
1 year ago
Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day. If he buys a 10-kilogram bag of dry food, how many
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6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
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Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
2 years ago
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